0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.309 * * * [progress]: [2/2] Setting up program. 0.318 * [progress]: [Phase 2 of 3] Improving. 0.318 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.319 * [simplify]: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) 0.319 * * [simplify]: iters left: 6 (12 enodes) 0.326 * * [simplify]: iters left: 5 (49 enodes) 0.342 * * [simplify]: iters left: 4 (82 enodes) 0.368 * * [simplify]: iters left: 3 (114 enodes) 0.400 * * [simplify]: iters left: 2 (129 enodes) 0.427 * * [simplify]: iters left: 1 (147 enodes) 0.450 * * [simplify]: Extracting #0: cost 1 inf + 0 0.450 * * [simplify]: Extracting #1: cost 10 inf + 0 0.450 * * [simplify]: Extracting #2: cost 45 inf + 0 0.451 * * [simplify]: Extracting #3: cost 53 inf + 514 0.452 * * [simplify]: Extracting #4: cost 19 inf + 4989 0.455 * * [simplify]: Extracting #5: cost 2 inf + 8052 0.458 * * [simplify]: Extracting #6: cost 0 inf + 8218 0.461 * [simplify]: Simplified to (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))) 0.461 * [simplify]: Simplified (2) to (λ (a1 a2 th) (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))) 0.474 * * [progress]: iteration 1 / 4 0.474 * * * [progress]: picking best candidate 0.485 * * * * [pick]: Picked # 0.485 * * * [progress]: localizing error 0.528 * * * [progress]: generating rewritten candidates 0.528 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.567 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.609 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.635 * * * [progress]: generating series expansions 0.635 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.636 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.636 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 0.636 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 0.636 * [taylor]: Taking taylor expansion of (cos th) in th 0.636 * [taylor]: Taking taylor expansion of th in th 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.636 * [taylor]: Taking taylor expansion of 2 in th 0.636 * [backup-simplify]: Simplify 2 into 2 0.637 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.638 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.638 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 0.638 * [taylor]: Taking taylor expansion of (cos th) in th 0.638 * [taylor]: Taking taylor expansion of th in th 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.638 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.638 * [taylor]: Taking taylor expansion of 2 in th 0.638 * [backup-simplify]: Simplify 2 into 2 0.638 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.639 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.640 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.640 * [backup-simplify]: Simplify (+ 0) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.641 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.644 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.646 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.647 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.664 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) 0.665 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) 0.670 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 0.671 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.671 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 0.671 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 0.671 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.671 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.671 * [taylor]: Taking taylor expansion of th in th 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (/ 1 1) into 1 0.672 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.672 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.672 * [taylor]: Taking taylor expansion of 2 in th 0.672 * [backup-simplify]: Simplify 2 into 2 0.672 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.673 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.673 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 0.673 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.673 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.673 * [taylor]: Taking taylor expansion of th in th 0.673 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.674 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.674 * [taylor]: Taking taylor expansion of 2 in th 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.675 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.676 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.678 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.681 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.685 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.685 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.690 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.690 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.695 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.702 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.702 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in (th) around 0 0.702 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 0.702 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.702 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.702 * [taylor]: Taking taylor expansion of -1 in th 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [taylor]: Taking taylor expansion of th in th 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ -1 1) into -1 0.703 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.703 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.703 * [taylor]: Taking taylor expansion of 2 in th 0.703 * [backup-simplify]: Simplify 2 into 2 0.703 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.704 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.704 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 0.704 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.704 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.704 * [taylor]: Taking taylor expansion of -1 in th 0.704 * [backup-simplify]: Simplify -1 into -1 0.704 * [taylor]: Taking taylor expansion of th in th 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ -1 1) into -1 0.705 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.705 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.705 * [taylor]: Taking taylor expansion of 2 in th 0.705 * [backup-simplify]: Simplify 2 into 2 0.705 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.706 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.707 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.708 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.716 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.720 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.720 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.725 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.731 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.732 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.732 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.732 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 0.732 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 0.732 * [taylor]: Taking taylor expansion of (cos th) in th 0.732 * [taylor]: Taking taylor expansion of th in th 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.733 * [taylor]: Taking taylor expansion of 2 in th 0.733 * [backup-simplify]: Simplify 2 into 2 0.733 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.734 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.734 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 0.734 * [taylor]: Taking taylor expansion of (cos th) in th 0.734 * [taylor]: Taking taylor expansion of th in th 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.735 * [taylor]: Taking taylor expansion of 2 in th 0.735 * [backup-simplify]: Simplify 2 into 2 0.735 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.737 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.738 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.738 * [backup-simplify]: Simplify (+ 0) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.741 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.745 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.748 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.749 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 0.757 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.760 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) 0.761 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) 0.764 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 0.764 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.764 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 0.764 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 0.764 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.764 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.764 * [taylor]: Taking taylor expansion of th in th 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.764 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.764 * [taylor]: Taking taylor expansion of 2 in th 0.764 * [backup-simplify]: Simplify 2 into 2 0.765 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.765 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.765 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 0.765 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.765 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.766 * [taylor]: Taking taylor expansion of th in th 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.766 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.766 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.766 * [taylor]: Taking taylor expansion of 2 in th 0.766 * [backup-simplify]: Simplify 2 into 2 0.766 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.767 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.767 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.768 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.778 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.784 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.784 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in (th) around 0 0.784 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 0.784 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.784 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.785 * [taylor]: Taking taylor expansion of -1 in th 0.785 * [backup-simplify]: Simplify -1 into -1 0.785 * [taylor]: Taking taylor expansion of th in th 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (/ -1 1) into -1 0.785 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.785 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.785 * [taylor]: Taking taylor expansion of 2 in th 0.785 * [backup-simplify]: Simplify 2 into 2 0.785 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.786 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.786 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 0.786 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.786 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.786 * [taylor]: Taking taylor expansion of -1 in th 0.786 * [backup-simplify]: Simplify -1 into -1 0.786 * [taylor]: Taking taylor expansion of th in th 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ -1 1) into -1 0.786 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.786 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.786 * [taylor]: Taking taylor expansion of 2 in th 0.786 * [backup-simplify]: Simplify 2 into 2 0.787 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.787 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.788 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.789 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.791 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.796 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.799 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.804 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 0.804 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in (th a2) around 0 0.804 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in a2 0.804 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 0.804 * [taylor]: Taking taylor expansion of (cos th) in a2 0.804 * [taylor]: Taking taylor expansion of th in a2 0.804 * [backup-simplify]: Simplify th into th 0.804 * [backup-simplify]: Simplify (cos th) into (cos th) 0.804 * [backup-simplify]: Simplify (sin th) into (sin th) 0.804 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.804 * [taylor]: Taking taylor expansion of a2 in a2 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.804 * [taylor]: Taking taylor expansion of 2 in a2 0.804 * [backup-simplify]: Simplify 2 into 2 0.804 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.805 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 0.805 * [backup-simplify]: Simplify (* (sin th) 0) into 0 0.805 * [backup-simplify]: Simplify (- 0) into 0 0.805 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 0.806 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.806 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 0.806 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.806 * [taylor]: Taking taylor expansion of (cos th) in th 0.806 * [taylor]: Taking taylor expansion of th in th 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.806 * [taylor]: Taking taylor expansion of a2 in th 0.806 * [backup-simplify]: Simplify a2 into a2 0.806 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.806 * [taylor]: Taking taylor expansion of 2 in th 0.806 * [backup-simplify]: Simplify 2 into 2 0.806 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.806 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.806 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 0.807 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 0.807 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 0.807 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.807 * [taylor]: Taking taylor expansion of (cos th) in th 0.807 * [taylor]: Taking taylor expansion of th in th 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.807 * [taylor]: Taking taylor expansion of a2 in th 0.807 * [backup-simplify]: Simplify a2 into a2 0.807 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.807 * [taylor]: Taking taylor expansion of 2 in th 0.807 * [backup-simplify]: Simplify 2 into 2 0.807 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.808 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.808 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 0.808 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 0.808 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 0.808 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.808 * [taylor]: Taking taylor expansion of a2 in a2 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.808 * [taylor]: Taking taylor expansion of 2 in a2 0.808 * [backup-simplify]: Simplify 2 into 2 0.808 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.810 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.810 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.811 * [backup-simplify]: Simplify (+ 0) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0 0.812 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.812 * [taylor]: Taking taylor expansion of 0 in a2 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.814 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2))) 0.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.817 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 0.817 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 0.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 0.817 * [taylor]: Taking taylor expansion of 1/2 in a2 0.817 * [backup-simplify]: Simplify 1/2 into 1/2 0.817 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 0.817 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.817 * [taylor]: Taking taylor expansion of a2 in a2 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.817 * [taylor]: Taking taylor expansion of 2 in a2 0.817 * [backup-simplify]: Simplify 2 into 2 0.817 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.818 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.819 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 0.820 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.822 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.824 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 0.828 * [taylor]: Taking taylor expansion of 0 in a2 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 0.830 * [backup-simplify]: Simplify (- 0) into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.832 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 0.835 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 0.835 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 0.835 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.835 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.835 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.835 * [taylor]: Taking taylor expansion of th in a2 0.835 * [backup-simplify]: Simplify th into th 0.835 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.835 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.835 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.835 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.835 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.835 * [taylor]: Taking taylor expansion of 2 in a2 0.835 * [backup-simplify]: Simplify 2 into 2 0.836 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.836 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.836 * [taylor]: Taking taylor expansion of a2 in a2 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.836 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.838 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.838 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 0.838 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.838 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.838 * [taylor]: Taking taylor expansion of th in th 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.838 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 0.838 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.838 * [taylor]: Taking taylor expansion of 2 in th 0.838 * [backup-simplify]: Simplify 2 into 2 0.838 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.839 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.839 * [taylor]: Taking taylor expansion of a2 in th 0.839 * [backup-simplify]: Simplify a2 into a2 0.839 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.839 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 0.839 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 0.839 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 0.840 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.840 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.840 * [taylor]: Taking taylor expansion of th in th 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.840 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 0.840 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.840 * [taylor]: Taking taylor expansion of 2 in th 0.840 * [backup-simplify]: Simplify 2 into 2 0.840 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.841 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.841 * [taylor]: Taking taylor expansion of a2 in th 0.841 * [backup-simplify]: Simplify a2 into a2 0.841 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.841 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 0.841 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 0.841 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.841 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.841 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.841 * [taylor]: Taking taylor expansion of th in a2 0.842 * [backup-simplify]: Simplify th into th 0.842 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.842 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.842 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.842 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.842 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.842 * [taylor]: Taking taylor expansion of 2 in a2 0.842 * [backup-simplify]: Simplify 2 into 2 0.842 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.842 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.842 * [taylor]: Taking taylor expansion of a2 in a2 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.843 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.844 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.844 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.844 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.844 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.845 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.846 * [taylor]: Taking taylor expansion of 0 in a2 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ 0) into 0 0.846 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.847 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.850 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.851 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 0.853 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in a2 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.854 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.855 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.855 * [backup-simplify]: Simplify (- 0) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.857 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.863 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 0.865 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.865 * [taylor]: Taking taylor expansion of 0 in a2 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.867 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.870 * [backup-simplify]: Simplify (- 0) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.874 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.884 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in a2 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 0.888 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 0.888 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 0.888 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.888 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.888 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.888 * [taylor]: Taking taylor expansion of -1 in a2 0.888 * [backup-simplify]: Simplify -1 into -1 0.888 * [taylor]: Taking taylor expansion of th in a2 0.888 * [backup-simplify]: Simplify th into th 0.888 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.888 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.888 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.888 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.888 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.888 * [taylor]: Taking taylor expansion of 2 in a2 0.889 * [backup-simplify]: Simplify 2 into 2 0.889 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.890 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.890 * [taylor]: Taking taylor expansion of a2 in a2 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.890 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.890 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.892 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.892 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 0.892 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.892 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.892 * [taylor]: Taking taylor expansion of -1 in th 0.892 * [backup-simplify]: Simplify -1 into -1 0.892 * [taylor]: Taking taylor expansion of th in th 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ -1 1) into -1 0.893 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.893 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 0.893 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.893 * [taylor]: Taking taylor expansion of 2 in th 0.893 * [backup-simplify]: Simplify 2 into 2 0.894 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.894 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.894 * [taylor]: Taking taylor expansion of a2 in th 0.894 * [backup-simplify]: Simplify a2 into a2 0.894 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.895 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 0.895 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 0.895 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 0.895 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.895 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.895 * [taylor]: Taking taylor expansion of -1 in th 0.895 * [backup-simplify]: Simplify -1 into -1 0.895 * [taylor]: Taking taylor expansion of th in th 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ -1 1) into -1 0.896 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.896 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 0.896 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.896 * [taylor]: Taking taylor expansion of 2 in th 0.896 * [backup-simplify]: Simplify 2 into 2 0.896 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.898 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.898 * [taylor]: Taking taylor expansion of a2 in th 0.898 * [backup-simplify]: Simplify a2 into a2 0.898 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 0.898 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 0.899 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 0.899 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 0.899 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.899 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.899 * [taylor]: Taking taylor expansion of -1 in a2 0.899 * [backup-simplify]: Simplify -1 into -1 0.899 * [taylor]: Taking taylor expansion of th in a2 0.899 * [backup-simplify]: Simplify th into th 0.899 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 0.899 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 0.899 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 0.899 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 0.899 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 0.899 * [taylor]: Taking taylor expansion of 2 in a2 0.899 * [backup-simplify]: Simplify 2 into 2 0.900 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.900 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.900 * [taylor]: Taking taylor expansion of a2 in a2 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 0.901 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 0.901 * [backup-simplify]: Simplify (* 1 1) into 1 0.903 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.903 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.903 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 0.904 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 0.904 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.906 * [taylor]: Taking taylor expansion of 0 in a2 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (+ 0) into 0 0.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.916 * [taylor]: Taking taylor expansion of 0 in a2 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.918 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.919 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.921 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 0.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in a2 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 0.928 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 0.928 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.931 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 0.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.935 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 0.937 * [taylor]: Taking taylor expansion of 0 in a2 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 0.937 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.938 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2)) (* a1 a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 0.938 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in (th a1) around 0 0.938 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in a1 0.938 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.938 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.938 * [taylor]: Taking taylor expansion of a1 in a1 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [taylor]: Taking taylor expansion of (cos th) in a1 0.938 * [taylor]: Taking taylor expansion of th in a1 0.938 * [backup-simplify]: Simplify th into th 0.938 * [backup-simplify]: Simplify (cos th) into (cos th) 0.938 * [backup-simplify]: Simplify (sin th) into (sin th) 0.938 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.938 * [taylor]: Taking taylor expansion of 2 in a1 0.938 * [backup-simplify]: Simplify 2 into 2 0.938 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.939 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 0.939 * [backup-simplify]: Simplify (* (sin th) 0) into 0 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.939 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 0.939 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th) 0.939 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 0.940 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 0.940 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.940 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.940 * [taylor]: Taking taylor expansion of a1 in th 0.940 * [backup-simplify]: Simplify a1 into a1 0.940 * [taylor]: Taking taylor expansion of (cos th) in th 0.940 * [taylor]: Taking taylor expansion of th in th 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.940 * [taylor]: Taking taylor expansion of 2 in th 0.940 * [backup-simplify]: Simplify 2 into 2 0.940 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.940 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.940 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 0.941 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 0.941 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 0.941 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.941 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.941 * [taylor]: Taking taylor expansion of a1 in th 0.941 * [backup-simplify]: Simplify a1 into a1 0.941 * [taylor]: Taking taylor expansion of (cos th) in th 0.941 * [taylor]: Taking taylor expansion of th in th 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.941 * [taylor]: Taking taylor expansion of 2 in th 0.941 * [backup-simplify]: Simplify 2 into 2 0.941 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.942 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.942 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 0.942 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 0.942 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 0.942 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.942 * [taylor]: Taking taylor expansion of a1 in a1 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.942 * [taylor]: Taking taylor expansion of 2 in a1 0.942 * [backup-simplify]: Simplify 2 into 2 0.942 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.944 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.944 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.945 * [backup-simplify]: Simplify (+ 0) into 0 0.945 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 0.945 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.946 * [taylor]: Taking taylor expansion of 0 in a1 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 0.948 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 0.949 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2))) 0.949 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.951 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) 0.951 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 0.951 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 0.951 * [taylor]: Taking taylor expansion of 1/2 in a1 0.951 * [backup-simplify]: Simplify 1/2 into 1/2 0.951 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 0.951 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.951 * [taylor]: Taking taylor expansion of a1 in a1 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.951 * [taylor]: Taking taylor expansion of 2 in a1 0.951 * [backup-simplify]: Simplify 2 into 2 0.951 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.952 * [backup-simplify]: Simplify (* 1 1) into 1 0.952 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 0.953 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 0.954 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.956 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 0.960 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.963 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 0.963 * [taylor]: Taking taylor expansion of 0 in a1 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 0.965 * [backup-simplify]: Simplify (- 0) into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 0.970 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 0.970 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in (th a1) around 0 0.970 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 0.970 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.970 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.970 * [taylor]: Taking taylor expansion of th in a1 0.970 * [backup-simplify]: Simplify th into th 0.970 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.970 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.970 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.970 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 0.970 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.970 * [taylor]: Taking taylor expansion of 2 in a1 0.970 * [backup-simplify]: Simplify 2 into 2 0.970 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.971 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.971 * [taylor]: Taking taylor expansion of a1 in a1 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.971 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.971 * [backup-simplify]: Simplify (- 0) into 0 0.971 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.972 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.972 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 0.972 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.972 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.972 * [taylor]: Taking taylor expansion of th in th 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.973 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 0.973 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.973 * [taylor]: Taking taylor expansion of 2 in th 0.973 * [backup-simplify]: Simplify 2 into 2 0.973 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.973 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.973 * [taylor]: Taking taylor expansion of a1 in th 0.973 * [backup-simplify]: Simplify a1 into a1 0.973 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.974 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 0.974 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 0.974 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 0.974 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.974 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.974 * [taylor]: Taking taylor expansion of th in th 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.974 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 0.974 * [taylor]: Taking taylor expansion of (sqrt 2) in th 0.974 * [taylor]: Taking taylor expansion of 2 in th 0.974 * [backup-simplify]: Simplify 2 into 2 0.975 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.975 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.975 * [taylor]: Taking taylor expansion of a1 in th 0.975 * [backup-simplify]: Simplify a1 into a1 0.975 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 0.975 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 0.976 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 0.976 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 0.976 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.976 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.976 * [taylor]: Taking taylor expansion of th in a1 0.976 * [backup-simplify]: Simplify th into th 0.976 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 0.976 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 0.976 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 0.976 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 0.976 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 0.976 * [taylor]: Taking taylor expansion of 2 in a1 0.976 * [backup-simplify]: Simplify 2 into 2 0.976 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 0.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 0.977 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.977 * [taylor]: Taking taylor expansion of a1 in a1 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 0.977 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 0.977 * [backup-simplify]: Simplify (- 0) into 0 0.977 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.978 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 0.978 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.979 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 0.979 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 0.979 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a1 2))) into 0 0.980 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 0.980 * [taylor]: Taking taylor expansion of 0 in a1 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ 0) into 0 0.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.982 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 0.982 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.983 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 0.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.987 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0 0.988 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 0.988 * [taylor]: Taking taylor expansion of 0 in a1 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.989 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.990 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 0.992 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.994 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 0.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 0.996 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0 0.997 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in a1 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 0.999 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 1.005 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.007 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in a1 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 1.009 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2))) 1.009 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2))) in (th a1) around 0 1.009 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2))) in a1 1.009 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 1.009 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 1.009 * [taylor]: Taking taylor expansion of -1 in a1 1.009 * [backup-simplify]: Simplify -1 into -1 1.009 * [taylor]: Taking taylor expansion of th in a1 1.009 * [backup-simplify]: Simplify th into th 1.010 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 1.010 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 1.010 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 1.010 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 1.010 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 1.010 * [taylor]: Taking taylor expansion of 2 in a1 1.010 * [backup-simplify]: Simplify 2 into 2 1.010 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.010 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 1.010 * [taylor]: Taking taylor expansion of a1 in a1 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 1.011 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 1.011 * [backup-simplify]: Simplify (* 1 1) into 1 1.012 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 1.012 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 1.012 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2))) in th 1.012 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.012 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.012 * [taylor]: Taking taylor expansion of -1 in th 1.012 * [backup-simplify]: Simplify -1 into -1 1.012 * [taylor]: Taking taylor expansion of th in th 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (/ -1 1) into -1 1.013 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 1.013 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 1.013 * [taylor]: Taking taylor expansion of (sqrt 2) in th 1.013 * [taylor]: Taking taylor expansion of 2 in th 1.013 * [backup-simplify]: Simplify 2 into 2 1.013 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.013 * [taylor]: Taking taylor expansion of (pow a1 2) in th 1.013 * [taylor]: Taking taylor expansion of a1 in th 1.013 * [backup-simplify]: Simplify a1 into a1 1.013 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 1.014 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 1.014 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 1.014 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 2))) in th 1.014 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.014 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.014 * [taylor]: Taking taylor expansion of -1 in th 1.014 * [backup-simplify]: Simplify -1 into -1 1.014 * [taylor]: Taking taylor expansion of th in th 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (/ -1 1) into -1 1.014 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 1.014 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 1.014 * [taylor]: Taking taylor expansion of (sqrt 2) in th 1.014 * [taylor]: Taking taylor expansion of 2 in th 1.014 * [backup-simplify]: Simplify 2 into 2 1.015 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.015 * [taylor]: Taking taylor expansion of (pow a1 2) in th 1.015 * [taylor]: Taking taylor expansion of a1 in th 1.015 * [backup-simplify]: Simplify a1 into a1 1.015 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 1.016 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 1.016 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 1.016 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 1.016 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 1.016 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 1.016 * [taylor]: Taking taylor expansion of -1 in a1 1.016 * [backup-simplify]: Simplify -1 into -1 1.016 * [taylor]: Taking taylor expansion of th in a1 1.016 * [backup-simplify]: Simplify th into th 1.016 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 1.016 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 1.016 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 1.016 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 1.016 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 1.016 * [taylor]: Taking taylor expansion of a1 in a1 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 1.016 * [taylor]: Taking taylor expansion of 2 in a1 1.016 * [backup-simplify]: Simplify 2 into 2 1.017 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 1.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1.017 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 1.017 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.019 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 1.019 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 1.020 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 1.020 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 1.020 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a1 2))) into 0 1.022 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in a1 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (+ 0) into 0 1.023 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 1.024 * [backup-simplify]: Simplify (- 0) into 0 1.025 * [backup-simplify]: Simplify (+ 0 0) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 1.028 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 1.029 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.030 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0 1.032 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 1.032 * [taylor]: Taking taylor expansion of 0 in a1 1.032 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.034 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 1.034 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 1.036 * [backup-simplify]: Simplify (- 0) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1.041 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 1.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.045 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 1.047 * [taylor]: Taking taylor expansion of 0 in a1 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.052 * [backup-simplify]: Simplify (- 0) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 1.059 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 1.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1.063 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0 1.066 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 1.066 * [taylor]: Taking taylor expansion of 0 in a1 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 1.067 * * * [progress]: simplifying candidates 1.067 * * * * [progress]: [ 1 / 184 ] simplifiying candidate # 1.067 * * * * [progress]: [ 2 / 184 ] simplifiying candidate # 1.068 * [simplify]: Simplifying (- (log (cos th)) (log (sqrt 2))) 1.068 * * [simplify]: iters left: 4 (7 enodes) 1.071 * * [simplify]: iters left: 3 (23 enodes) 1.078 * * [simplify]: iters left: 2 (26 enodes) 1.086 * * [simplify]: Extracting #0: cost 1 inf + 0 1.086 * * [simplify]: Extracting #1: cost 5 inf + 0 1.086 * * [simplify]: Extracting #2: cost 10 inf + 0 1.086 * * [simplify]: Extracting #3: cost 14 inf + 0 1.086 * * [simplify]: Extracting #4: cost 12 inf + 2 1.086 * * [simplify]: Extracting #5: cost 6 inf + 468 1.087 * * [simplify]: Extracting #6: cost 1 inf + 1274 1.087 * * [simplify]: Extracting #7: cost 0 inf + 1556 1.087 * [simplify]: Simplified to (- (log (cos th)) (log (sqrt 2))) 1.087 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2)))) 1.087 * * * * [progress]: [ 3 / 184 ] simplifiying candidate # 1.088 * * * * [progress]: [ 4 / 184 ] simplifiying candidate # 1.088 * * * * [progress]: [ 5 / 184 ] simplifiying candidate # 1.088 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 1.088 * * [simplify]: iters left: 6 (9 enodes) 1.093 * * [simplify]: iters left: 5 (34 enodes) 1.104 * * [simplify]: iters left: 4 (74 enodes) 1.135 * * [simplify]: iters left: 3 (146 enodes) 1.171 * * [simplify]: iters left: 2 (206 enodes) 1.247 * * [simplify]: iters left: 1 (295 enodes) 1.343 * * [simplify]: Extracting #0: cost 1 inf + 0 1.343 * * [simplify]: Extracting #1: cost 49 inf + 0 1.344 * * [simplify]: Extracting #2: cost 103 inf + 123 1.345 * * [simplify]: Extracting #3: cost 82 inf + 3103 1.349 * * [simplify]: Extracting #4: cost 39 inf + 15197 1.356 * * [simplify]: Extracting #5: cost 6 inf + 30076 1.364 * * [simplify]: Extracting #6: cost 0 inf + 33438 1.372 * [simplify]: Simplified to (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2)))) 1.372 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2))))) (* a2 a2)))) 1.373 * * * * [progress]: [ 6 / 184 ] simplifiying candidate # 1.373 * * * * [progress]: [ 7 / 184 ] simplifiying candidate # 1.373 * * * * [progress]: [ 8 / 184 ] simplifiying candidate # 1.373 * * * * [progress]: [ 9 / 184 ] simplifiying candidate # 1.373 * * * * [progress]: [ 10 / 184 ] simplifiying candidate # 1.373 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1.373 * * [simplify]: iters left: 6 (9 enodes) 1.378 * * [simplify]: iters left: 5 (33 enodes) 1.389 * * [simplify]: iters left: 4 (48 enodes) 1.403 * * [simplify]: iters left: 3 (55 enodes) 1.418 * * [simplify]: iters left: 2 (58 enodes) 1.433 * * [simplify]: Extracting #0: cost 1 inf + 0 1.433 * * [simplify]: Extracting #1: cost 11 inf + 0 1.433 * * [simplify]: Extracting #2: cost 22 inf + 0 1.434 * * [simplify]: Extracting #3: cost 26 inf + 0 1.434 * * [simplify]: Extracting #4: cost 22 inf + 104 1.434 * * [simplify]: Extracting #5: cost 7 inf + 3466 1.436 * * [simplify]: Extracting #6: cost 0 inf + 5358 1.437 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 1.437 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 1.437 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) 1.438 * * [simplify]: iters left: 4 (7 enodes) 1.441 * * [simplify]: iters left: 3 (21 enodes) 1.448 * * [simplify]: Extracting #0: cost 1 inf + 0 1.448 * * [simplify]: Extracting #1: cost 4 inf + 0 1.448 * * [simplify]: Extracting #2: cost 8 inf + 0 1.448 * * [simplify]: Extracting #3: cost 12 inf + 0 1.448 * * [simplify]: Extracting #4: cost 10 inf + 2 1.448 * * [simplify]: Extracting #5: cost 4 inf + 448 1.449 * * [simplify]: Extracting #6: cost 1 inf + 1032 1.449 * * [simplify]: Extracting #7: cost 0 inf + 1334 1.449 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) 1.449 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 1.450 * * * * [progress]: [ 11 / 184 ] simplifiying candidate # 1.450 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 1.450 * * [simplify]: iters left: 6 (9 enodes) 1.455 * * [simplify]: iters left: 5 (30 enodes) 1.467 * * [simplify]: iters left: 4 (34 enodes) 1.478 * * [simplify]: iters left: 3 (37 enodes) 1.488 * * [simplify]: Extracting #0: cost 1 inf + 0 1.488 * * [simplify]: Extracting #1: cost 7 inf + 0 1.489 * * [simplify]: Extracting #2: cost 15 inf + 0 1.489 * * [simplify]: Extracting #3: cost 20 inf + 0 1.489 * * [simplify]: Extracting #4: cost 14 inf + 386 1.489 * * [simplify]: Extracting #5: cost 4 inf + 2139 1.490 * * [simplify]: Extracting #6: cost 0 inf + 3306 1.491 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 1.491 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 1.491 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt 2))) 1.491 * * [simplify]: iters left: 4 (7 enodes) 1.495 * * [simplify]: iters left: 3 (21 enodes) 1.501 * * [simplify]: Extracting #0: cost 1 inf + 0 1.501 * * [simplify]: Extracting #1: cost 4 inf + 0 1.501 * * [simplify]: Extracting #2: cost 8 inf + 0 1.502 * * [simplify]: Extracting #3: cost 12 inf + 0 1.502 * * [simplify]: Extracting #4: cost 10 inf + 2 1.502 * * [simplify]: Extracting #5: cost 4 inf + 528 1.502 * * [simplify]: Extracting #6: cost 1 inf + 1112 1.502 * * [simplify]: Extracting #7: cost 0 inf + 1414 1.503 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt 2))) 1.503 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 1.503 * * * * [progress]: [ 12 / 184 ] simplifiying candidate # 1.503 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 1.503 * * [simplify]: iters left: 6 (8 enodes) 1.507 * * [simplify]: iters left: 5 (26 enodes) 1.516 * * [simplify]: iters left: 4 (30 enodes) 1.524 * * [simplify]: iters left: 3 (33 enodes) 1.534 * * [simplify]: Extracting #0: cost 1 inf + 0 1.534 * * [simplify]: Extracting #1: cost 7 inf + 0 1.534 * * [simplify]: Extracting #2: cost 14 inf + 0 1.534 * * [simplify]: Extracting #3: cost 18 inf + 0 1.534 * * [simplify]: Extracting #4: cost 15 inf + 43 1.535 * * [simplify]: Extracting #5: cost 11 inf + 307 1.535 * * [simplify]: Extracting #6: cost 2 inf + 2181 1.536 * * [simplify]: Extracting #7: cost 0 inf + 2664 1.536 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 1.536 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.537 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 1.537 * * [simplify]: iters left: 4 (7 enodes) 1.541 * * [simplify]: iters left: 3 (21 enodes) 1.547 * * [simplify]: Extracting #0: cost 1 inf + 0 1.547 * * [simplify]: Extracting #1: cost 4 inf + 0 1.547 * * [simplify]: Extracting #2: cost 8 inf + 0 1.547 * * [simplify]: Extracting #3: cost 12 inf + 0 1.547 * * [simplify]: Extracting #4: cost 10 inf + 2 1.548 * * [simplify]: Extracting #5: cost 4 inf + 368 1.548 * * [simplify]: Extracting #6: cost 1 inf + 912 1.548 * * [simplify]: Extracting #7: cost 0 inf + 1174 1.548 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 1.549 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.549 * * * * [progress]: [ 13 / 184 ] simplifiying candidate # 1.549 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1.549 * * [simplify]: iters left: 6 (7 enodes) 1.554 * * [simplify]: iters left: 5 (25 enodes) 1.561 * * [simplify]: iters left: 4 (31 enodes) 1.570 * * [simplify]: iters left: 3 (35 enodes) 1.580 * * [simplify]: iters left: 2 (36 enodes) 1.588 * * [simplify]: Extracting #0: cost 1 inf + 0 1.588 * * [simplify]: Extracting #1: cost 5 inf + 0 1.588 * * [simplify]: Extracting #2: cost 7 inf + 1 1.588 * * [simplify]: Extracting #3: cost 9 inf + 1 1.589 * * [simplify]: Extracting #4: cost 8 inf + 2 1.589 * * [simplify]: Extracting #5: cost 1 inf + 951 1.589 * * [simplify]: Extracting #6: cost 0 inf + 1132 1.589 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 1.589 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.590 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 1.590 * * [simplify]: iters left: 4 (6 enodes) 1.593 * * [simplify]: iters left: 3 (18 enodes) 1.599 * * [simplify]: Extracting #0: cost 1 inf + 0 1.599 * * [simplify]: Extracting #1: cost 4 inf + 0 1.599 * * [simplify]: Extracting #2: cost 8 inf + 0 1.599 * * [simplify]: Extracting #3: cost 7 inf + 83 1.599 * * [simplify]: Extracting #4: cost 6 inf + 84 1.599 * * [simplify]: Extracting #5: cost 0 inf + 932 1.600 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 1.600 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.600 * * * * [progress]: [ 14 / 184 ] simplifiying candidate # 1.600 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 1.600 * * [simplify]: iters left: 6 (8 enodes) 1.604 * * [simplify]: iters left: 5 (26 enodes) 1.612 * * [simplify]: iters left: 4 (30 enodes) 1.622 * * [simplify]: iters left: 3 (33 enodes) 1.635 * * [simplify]: Extracting #0: cost 1 inf + 0 1.635 * * [simplify]: Extracting #1: cost 7 inf + 0 1.635 * * [simplify]: Extracting #2: cost 14 inf + 0 1.635 * * [simplify]: Extracting #3: cost 18 inf + 0 1.635 * * [simplify]: Extracting #4: cost 15 inf + 43 1.635 * * [simplify]: Extracting #5: cost 11 inf + 307 1.636 * * [simplify]: Extracting #6: cost 2 inf + 2181 1.636 * * [simplify]: Extracting #7: cost 0 inf + 2664 1.637 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 1.637 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.638 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 1.638 * * [simplify]: iters left: 4 (7 enodes) 1.641 * * [simplify]: iters left: 3 (21 enodes) 1.647 * * [simplify]: Extracting #0: cost 1 inf + 0 1.647 * * [simplify]: Extracting #1: cost 4 inf + 0 1.647 * * [simplify]: Extracting #2: cost 8 inf + 0 1.647 * * [simplify]: Extracting #3: cost 12 inf + 0 1.647 * * [simplify]: Extracting #4: cost 10 inf + 2 1.647 * * [simplify]: Extracting #5: cost 4 inf + 368 1.647 * * [simplify]: Extracting #6: cost 1 inf + 912 1.647 * * [simplify]: Extracting #7: cost 0 inf + 1174 1.648 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 1.648 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.648 * * * * [progress]: [ 15 / 184 ] simplifiying candidate # 1.648 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1.648 * * [simplify]: iters left: 6 (6 enodes) 1.650 * * [simplify]: iters left: 5 (20 enodes) 1.653 * * [simplify]: iters left: 4 (30 enodes) 1.657 * * [simplify]: iters left: 3 (31 enodes) 1.661 * * [simplify]: Extracting #0: cost 1 inf + 0 1.662 * * [simplify]: Extracting #1: cost 5 inf + 0 1.662 * * [simplify]: Extracting #2: cost 7 inf + 1 1.662 * * [simplify]: Extracting #3: cost 9 inf + 1 1.662 * * [simplify]: Extracting #4: cost 8 inf + 2 1.662 * * [simplify]: Extracting #5: cost 0 inf + 1132 1.662 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 1.662 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.662 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 1.662 * * [simplify]: iters left: 4 (6 enodes) 1.664 * * [simplify]: iters left: 3 (18 enodes) 1.667 * * [simplify]: Extracting #0: cost 1 inf + 0 1.667 * * [simplify]: Extracting #1: cost 4 inf + 0 1.667 * * [simplify]: Extracting #2: cost 8 inf + 0 1.667 * * [simplify]: Extracting #3: cost 7 inf + 83 1.667 * * [simplify]: Extracting #4: cost 6 inf + 84 1.667 * * [simplify]: Extracting #5: cost 0 inf + 932 1.667 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 1.667 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.667 * * * * [progress]: [ 16 / 184 ] simplifiying candidate # 1.667 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1.668 * * [simplify]: iters left: 6 (8 enodes) 1.670 * * [simplify]: iters left: 5 (26 enodes) 1.674 * * [simplify]: iters left: 4 (28 enodes) 1.682 * * [simplify]: Extracting #0: cost 1 inf + 0 1.683 * * [simplify]: Extracting #1: cost 6 inf + 0 1.683 * * [simplify]: Extracting #2: cost 12 inf + 0 1.683 * * [simplify]: Extracting #3: cost 16 inf + 0 1.683 * * [simplify]: Extracting #4: cost 14 inf + 2 1.683 * * [simplify]: Extracting #5: cost 10 inf + 266 1.683 * * [simplify]: Extracting #6: cost 1 inf + 1798 1.684 * * [simplify]: Extracting #7: cost 0 inf + 2100 1.684 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 1.684 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 1.685 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) 1.685 * * [simplify]: iters left: 4 (7 enodes) 1.689 * * [simplify]: iters left: 3 (21 enodes) 1.695 * * [simplify]: Extracting #0: cost 1 inf + 0 1.695 * * [simplify]: Extracting #1: cost 4 inf + 0 1.695 * * [simplify]: Extracting #2: cost 8 inf + 0 1.695 * * [simplify]: Extracting #3: cost 12 inf + 0 1.695 * * [simplify]: Extracting #4: cost 10 inf + 2 1.696 * * [simplify]: Extracting #5: cost 4 inf + 448 1.696 * * [simplify]: Extracting #6: cost 1 inf + 912 1.696 * * [simplify]: Extracting #7: cost 0 inf + 1174 1.696 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 1.697 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 1.697 * * * * [progress]: [ 17 / 184 ] simplifiying candidate # 1.697 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 1.697 * * [simplify]: iters left: 6 (8 enodes) 1.701 * * [simplify]: iters left: 5 (25 enodes) 1.709 * * [simplify]: Extracting #0: cost 1 inf + 0 1.709 * * [simplify]: Extracting #1: cost 4 inf + 0 1.709 * * [simplify]: Extracting #2: cost 9 inf + 0 1.709 * * [simplify]: Extracting #3: cost 14 inf + 0 1.709 * * [simplify]: Extracting #4: cost 12 inf + 2 1.709 * * [simplify]: Extracting #5: cost 6 inf + 528 1.710 * * [simplify]: Extracting #6: cost 1 inf + 1234 1.710 * * [simplify]: Extracting #7: cost 0 inf + 1496 1.710 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 1.710 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 1.711 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt 2))) 1.711 * * [simplify]: iters left: 4 (7 enodes) 1.715 * * [simplify]: iters left: 3 (21 enodes) 1.722 * * [simplify]: Extracting #0: cost 1 inf + 0 1.722 * * [simplify]: Extracting #1: cost 4 inf + 0 1.722 * * [simplify]: Extracting #2: cost 8 inf + 0 1.722 * * [simplify]: Extracting #3: cost 12 inf + 0 1.722 * * [simplify]: Extracting #4: cost 10 inf + 2 1.722 * * [simplify]: Extracting #5: cost 4 inf + 528 1.722 * * [simplify]: Extracting #6: cost 1 inf + 992 1.722 * * [simplify]: Extracting #7: cost 0 inf + 1254 1.723 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt 2))) 1.723 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 1.723 * * * * [progress]: [ 18 / 184 ] simplifiying candidate # 1.723 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.724 * * [simplify]: iters left: 4 (7 enodes) 1.727 * * [simplify]: iters left: 3 (21 enodes) 1.734 * * [simplify]: Extracting #0: cost 1 inf + 0 1.734 * * [simplify]: Extracting #1: cost 4 inf + 0 1.734 * * [simplify]: Extracting #2: cost 8 inf + 0 1.734 * * [simplify]: Extracting #3: cost 12 inf + 0 1.734 * * [simplify]: Extracting #4: cost 10 inf + 2 1.734 * * [simplify]: Extracting #5: cost 4 inf + 368 1.735 * * [simplify]: Extracting #6: cost 1 inf + 792 1.735 * * [simplify]: Extracting #7: cost 0 inf + 1014 1.735 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.735 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.736 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.736 * * [simplify]: iters left: 4 (7 enodes) 1.739 * * [simplify]: iters left: 3 (21 enodes) 1.747 * * [simplify]: Extracting #0: cost 1 inf + 0 1.747 * * [simplify]: Extracting #1: cost 4 inf + 0 1.747 * * [simplify]: Extracting #2: cost 8 inf + 0 1.747 * * [simplify]: Extracting #3: cost 12 inf + 0 1.747 * * [simplify]: Extracting #4: cost 10 inf + 2 1.747 * * [simplify]: Extracting #5: cost 4 inf + 368 1.747 * * [simplify]: Extracting #6: cost 1 inf + 792 1.748 * * [simplify]: Extracting #7: cost 0 inf + 1014 1.748 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.748 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.748 * * * * [progress]: [ 19 / 184 ] simplifiying candidate # 1.749 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 1.749 * * [simplify]: iters left: 4 (6 enodes) 1.754 * * [simplify]: iters left: 3 (20 enodes) 1.760 * * [simplify]: iters left: 2 (22 enodes) 1.768 * * [simplify]: iters left: 1 (24 enodes) 1.773 * * [simplify]: Extracting #0: cost 1 inf + 0 1.773 * * [simplify]: Extracting #1: cost 4 inf + 0 1.773 * * [simplify]: Extracting #2: cost 5 inf + 1 1.773 * * [simplify]: Extracting #3: cost 4 inf + 2 1.774 * * [simplify]: Extracting #4: cost 0 inf + 326 1.774 * [simplify]: Simplified to (sqrt (cos th)) 1.774 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.774 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 1.774 * * [simplify]: iters left: 4 (6 enodes) 1.777 * * [simplify]: iters left: 3 (18 enodes) 1.783 * * [simplify]: Extracting #0: cost 1 inf + 0 1.783 * * [simplify]: Extracting #1: cost 4 inf + 0 1.783 * * [simplify]: Extracting #2: cost 8 inf + 0 1.783 * * [simplify]: Extracting #3: cost 7 inf + 83 1.783 * * [simplify]: Extracting #4: cost 6 inf + 84 1.784 * * [simplify]: Extracting #5: cost 0 inf + 772 1.784 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 1.784 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.784 * * * * [progress]: [ 20 / 184 ] simplifiying candidate # 1.784 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.784 * * [simplify]: iters left: 4 (7 enodes) 1.788 * * [simplify]: iters left: 3 (21 enodes) 1.794 * * [simplify]: Extracting #0: cost 1 inf + 0 1.794 * * [simplify]: Extracting #1: cost 4 inf + 0 1.795 * * [simplify]: Extracting #2: cost 8 inf + 0 1.795 * * [simplify]: Extracting #3: cost 12 inf + 0 1.795 * * [simplify]: Extracting #4: cost 10 inf + 2 1.795 * * [simplify]: Extracting #5: cost 4 inf + 368 1.795 * * [simplify]: Extracting #6: cost 1 inf + 792 1.795 * * [simplify]: Extracting #7: cost 0 inf + 1014 1.796 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.796 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.796 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.796 * * [simplify]: iters left: 4 (7 enodes) 1.800 * * [simplify]: iters left: 3 (21 enodes) 1.807 * * [simplify]: Extracting #0: cost 1 inf + 0 1.807 * * [simplify]: Extracting #1: cost 4 inf + 0 1.807 * * [simplify]: Extracting #2: cost 8 inf + 0 1.807 * * [simplify]: Extracting #3: cost 12 inf + 0 1.807 * * [simplify]: Extracting #4: cost 10 inf + 2 1.807 * * [simplify]: Extracting #5: cost 4 inf + 368 1.808 * * [simplify]: Extracting #6: cost 1 inf + 792 1.808 * * [simplify]: Extracting #7: cost 0 inf + 1014 1.808 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 1.808 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 1.808 * * * * [progress]: [ 21 / 184 ] simplifiying candidate # 1.809 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 1.809 * * [simplify]: iters left: 4 (5 enodes) 1.811 * * [simplify]: iters left: 3 (15 enodes) 1.816 * * [simplify]: iters left: 2 (17 enodes) 1.819 * * [simplify]: Extracting #0: cost 1 inf + 0 1.819 * * [simplify]: Extracting #1: cost 4 inf + 0 1.819 * * [simplify]: Extracting #2: cost 5 inf + 1 1.819 * * [simplify]: Extracting #3: cost 4 inf + 2 1.820 * * [simplify]: Extracting #4: cost 1 inf + 225 1.820 * * [simplify]: Extracting #5: cost 0 inf + 326 1.820 * [simplify]: Simplified to (sqrt (cos th)) 1.820 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.820 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 1.820 * * [simplify]: iters left: 4 (6 enodes) 1.822 * * [simplify]: iters left: 3 (18 enodes) 1.825 * * [simplify]: Extracting #0: cost 1 inf + 0 1.825 * * [simplify]: Extracting #1: cost 4 inf + 0 1.825 * * [simplify]: Extracting #2: cost 8 inf + 0 1.825 * * [simplify]: Extracting #3: cost 7 inf + 83 1.825 * * [simplify]: Extracting #4: cost 6 inf + 84 1.825 * * [simplify]: Extracting #5: cost 0 inf + 772 1.825 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 1.825 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 1.825 * * * * [progress]: [ 22 / 184 ] simplifiying candidate # 1.826 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1.826 * * [simplify]: iters left: 6 (6 enodes) 1.828 * * [simplify]: iters left: 5 (22 enodes) 1.831 * * [simplify]: iters left: 4 (26 enodes) 1.836 * * [simplify]: Extracting #0: cost 1 inf + 0 1.836 * * [simplify]: Extracting #1: cost 6 inf + 0 1.836 * * [simplify]: Extracting #2: cost 9 inf + 1 1.836 * * [simplify]: Extracting #3: cost 11 inf + 1 1.836 * * [simplify]: Extracting #4: cost 8 inf + 84 1.836 * * [simplify]: Extracting #5: cost 2 inf + 1013 1.836 * * [simplify]: Extracting #6: cost 0 inf + 1376 1.836 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1.836 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 1.837 * [simplify]: Simplifying (/ (cos th) (cbrt (sqrt 2))) 1.837 * * [simplify]: iters left: 4 (6 enodes) 1.838 * * [simplify]: iters left: 3 (18 enodes) 1.841 * * [simplify]: Extracting #0: cost 1 inf + 0 1.841 * * [simplify]: Extracting #1: cost 4 inf + 0 1.841 * * [simplify]: Extracting #2: cost 8 inf + 0 1.841 * * [simplify]: Extracting #3: cost 9 inf + 1 1.841 * * [simplify]: Extracting #4: cost 0 inf + 892 1.842 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 1.842 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 1.842 * * * * [progress]: [ 23 / 184 ] simplifiying candidate # 1.842 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 1.842 * * [simplify]: iters left: 6 (6 enodes) 1.844 * * [simplify]: iters left: 5 (21 enodes) 1.849 * * [simplify]: iters left: 4 (23 enodes) 1.857 * * [simplify]: Extracting #0: cost 1 inf + 0 1.857 * * [simplify]: Extracting #1: cost 4 inf + 0 1.857 * * [simplify]: Extracting #2: cost 6 inf + 1 1.857 * * [simplify]: Extracting #3: cost 9 inf + 1 1.857 * * [simplify]: Extracting #4: cost 8 inf + 2 1.857 * * [simplify]: Extracting #5: cost 1 inf + 810 1.857 * * [simplify]: Extracting #6: cost 0 inf + 972 1.858 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 1.858 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 1.858 * [simplify]: Simplifying (/ (cos th) (sqrt (cbrt 2))) 1.858 * * [simplify]: iters left: 4 (6 enodes) 1.861 * * [simplify]: iters left: 3 (18 enodes) 1.867 * * [simplify]: Extracting #0: cost 1 inf + 0 1.867 * * [simplify]: Extracting #1: cost 4 inf + 0 1.867 * * [simplify]: Extracting #2: cost 8 inf + 0 1.868 * * [simplify]: Extracting #3: cost 9 inf + 1 1.868 * * [simplify]: Extracting #4: cost 0 inf + 972 1.868 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt 2))) 1.868 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 1.868 * * * * [progress]: [ 24 / 184 ] simplifiying candidate # 1.869 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 1.869 * * [simplify]: iters left: 4 (5 enodes) 1.872 * * [simplify]: iters left: 3 (17 enodes) 1.878 * * [simplify]: iters left: 2 (19 enodes) 1.884 * * [simplify]: Extracting #0: cost 1 inf + 0 1.885 * * [simplify]: Extracting #1: cost 4 inf + 0 1.885 * * [simplify]: Extracting #2: cost 5 inf + 1 1.885 * * [simplify]: Extracting #3: cost 7 inf + 1 1.885 * * [simplify]: Extracting #4: cost 0 inf + 490 1.885 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 1.885 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 1.886 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 1.886 * * [simplify]: iters left: 4 (6 enodes) 1.889 * * [simplify]: iters left: 3 (18 enodes) 1.897 * * [simplify]: Extracting #0: cost 1 inf + 0 1.897 * * [simplify]: Extracting #1: cost 4 inf + 0 1.897 * * [simplify]: Extracting #2: cost 8 inf + 0 1.897 * * [simplify]: Extracting #3: cost 9 inf + 1 1.897 * * [simplify]: Extracting #4: cost 0 inf + 732 1.897 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 1.897 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 1.898 * * * * [progress]: [ 25 / 184 ] simplifiying candidate # 1.898 * [simplify]: Simplifying (/ 1 (sqrt 1)) 1.898 * * [simplify]: iters left: 3 (3 enodes) 1.904 * * [simplify]: iters left: 2 (11 enodes) 1.907 * * [simplify]: iters left: 1 (13 enodes) 1.910 * * [simplify]: Extracting #0: cost 1 inf + 0 1.910 * * [simplify]: Extracting #1: cost 0 inf + 1 1.910 * [simplify]: Simplified to 1 1.910 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 1.910 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 1.910 * * [simplify]: iters left: 3 (5 enodes) 1.913 * * [simplify]: iters left: 2 (15 enodes) 1.918 * * [simplify]: Extracting #0: cost 1 inf + 0 1.919 * * [simplify]: Extracting #1: cost 4 inf + 0 1.919 * * [simplify]: Extracting #2: cost 8 inf + 0 1.919 * * [simplify]: Extracting #3: cost 4 inf + 84 1.919 * * [simplify]: Extracting #4: cost 0 inf + 490 1.919 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 1.919 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 1.919 * * * * [progress]: [ 26 / 184 ] simplifiying candidate # 1.919 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 1.920 * * [simplify]: iters left: 4 (5 enodes) 1.923 * * [simplify]: iters left: 3 (17 enodes) 1.929 * * [simplify]: iters left: 2 (19 enodes) 1.934 * * [simplify]: Extracting #0: cost 1 inf + 0 1.934 * * [simplify]: Extracting #1: cost 4 inf + 0 1.935 * * [simplify]: Extracting #2: cost 5 inf + 1 1.935 * * [simplify]: Extracting #3: cost 7 inf + 1 1.935 * * [simplify]: Extracting #4: cost 0 inf + 490 1.935 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 1.935 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 1.935 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 1.935 * * [simplify]: iters left: 4 (6 enodes) 1.937 * * [simplify]: iters left: 3 (18 enodes) 1.939 * * [simplify]: Extracting #0: cost 1 inf + 0 1.939 * * [simplify]: Extracting #1: cost 4 inf + 0 1.940 * * [simplify]: Extracting #2: cost 8 inf + 0 1.940 * * [simplify]: Extracting #3: cost 9 inf + 1 1.940 * * [simplify]: Extracting #4: cost 0 inf + 732 1.940 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 1.940 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 1.940 * * * * [progress]: [ 27 / 184 ] simplifiying candidate # 1.940 * [simplify]: Simplifying (/ 1 1) 1.940 * * [simplify]: iters left: 2 (2 enodes) 1.941 * * [simplify]: iters left: 1 (6 enodes) 1.942 * * [simplify]: Extracting #0: cost 1 inf + 0 1.942 * * [simplify]: Extracting #1: cost 0 inf + 1 1.942 * [simplify]: Simplified to 1 1.942 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 1.942 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 1.942 * * [simplify]: iters left: 3 (5 enodes) 1.944 * * [simplify]: iters left: 2 (15 enodes) 1.946 * * [simplify]: Extracting #0: cost 1 inf + 0 1.946 * * [simplify]: Extracting #1: cost 4 inf + 0 1.946 * * [simplify]: Extracting #2: cost 8 inf + 0 1.946 * * [simplify]: Extracting #3: cost 4 inf + 84 1.946 * * [simplify]: Extracting #4: cost 0 inf + 490 1.946 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 1.946 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 1.946 * * * * [progress]: [ 28 / 184 ] simplifiying candidate # 1.947 * * * * [progress]: [ 29 / 184 ] simplifiying candidate # 1.947 * * * * [progress]: [ 30 / 184 ] simplifiying candidate # 1.947 * * * * [progress]: [ 31 / 184 ] simplifiying candidate # 1.947 * [simplify]: Simplifying (cbrt (sqrt 2)) 1.947 * * [simplify]: iters left: 2 (3 enodes) 1.948 * * [simplify]: iters left: 1 (9 enodes) 1.950 * * [simplify]: Extracting #0: cost 1 inf + 0 1.950 * * [simplify]: Extracting #1: cost 3 inf + 0 1.950 * * [simplify]: Extracting #2: cost 5 inf + 0 1.950 * * [simplify]: Extracting #3: cost 4 inf + 1 1.950 * * [simplify]: Extracting #4: cost 0 inf + 325 1.950 * [simplify]: Simplified to (cbrt (sqrt 2)) 1.950 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2)))) 1.950 * * * * [progress]: [ 32 / 184 ] simplifiying candidate # 1.950 * [simplify]: Simplifying (sqrt (cbrt 2)) 1.950 * * [simplify]: iters left: 2 (3 enodes) 1.951 * * [simplify]: iters left: 1 (9 enodes) 1.953 * * [simplify]: Extracting #0: cost 1 inf + 0 1.953 * * [simplify]: Extracting #1: cost 3 inf + 0 1.953 * * [simplify]: Extracting #2: cost 5 inf + 0 1.953 * * [simplify]: Extracting #3: cost 4 inf + 1 1.953 * * [simplify]: Extracting #4: cost 0 inf + 405 1.953 * [simplify]: Simplified to (sqrt (cbrt 2)) 1.953 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (* a2 a2)))) 1.953 * * * * [progress]: [ 33 / 184 ] simplifiying candidate # 1.953 * [simplify]: Simplifying (sqrt (sqrt 2)) 1.953 * * [simplify]: iters left: 2 (3 enodes) 1.954 * * [simplify]: iters left: 1 (9 enodes) 1.956 * * [simplify]: Extracting #0: cost 1 inf + 0 1.956 * * [simplify]: Extracting #1: cost 3 inf + 0 1.956 * * [simplify]: Extracting #2: cost 5 inf + 0 1.956 * * [simplify]: Extracting #3: cost 4 inf + 1 1.956 * * [simplify]: Extracting #4: cost 0 inf + 245 1.956 * [simplify]: Simplified to (sqrt (sqrt 2)) 1.956 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 1.956 * * * * [progress]: [ 34 / 184 ] simplifiying candidate # 1.956 * [simplify]: Simplifying (sqrt 2) 1.956 * * [simplify]: iters left: 1 (2 enodes) 1.957 * * [simplify]: Extracting #0: cost 1 inf + 0 1.957 * * [simplify]: Extracting #1: cost 3 inf + 0 1.957 * * [simplify]: Extracting #2: cost 2 inf + 1 1.957 * * [simplify]: Extracting #3: cost 0 inf + 83 1.957 * [simplify]: Simplified to (sqrt 2) 1.957 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt 1)) (sqrt 2)) (* a2 a2)))) 1.957 * * * * [progress]: [ 35 / 184 ] simplifiying candidate # 1.958 * [simplify]: Simplifying (sqrt (sqrt 2)) 1.958 * * [simplify]: iters left: 2 (3 enodes) 1.959 * * [simplify]: iters left: 1 (9 enodes) 1.960 * * [simplify]: Extracting #0: cost 1 inf + 0 1.960 * * [simplify]: Extracting #1: cost 3 inf + 0 1.960 * * [simplify]: Extracting #2: cost 5 inf + 0 1.960 * * [simplify]: Extracting #3: cost 4 inf + 1 1.960 * * [simplify]: Extracting #4: cost 0 inf + 245 1.960 * [simplify]: Simplified to (sqrt (sqrt 2)) 1.960 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 1.960 * * * * [progress]: [ 36 / 184 ] simplifiying candidate # 1.961 * [simplify]: Simplifying (sqrt 2) 1.961 * * [simplify]: iters left: 1 (2 enodes) 1.961 * * [simplify]: Extracting #0: cost 1 inf + 0 1.962 * * [simplify]: Extracting #1: cost 3 inf + 0 1.962 * * [simplify]: Extracting #2: cost 2 inf + 1 1.962 * * [simplify]: Extracting #3: cost 0 inf + 83 1.962 * [simplify]: Simplified to (sqrt 2) 1.962 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2)))) 1.962 * * * * [progress]: [ 37 / 184 ] simplifiying candidate # 1.962 * [simplify]: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) 1.962 * * [simplify]: iters left: 4 (4 enodes) 1.963 * * [simplify]: iters left: 3 (12 enodes) 1.964 * * [simplify]: Extracting #0: cost 1 inf + 0 1.964 * * [simplify]: Extracting #1: cost 3 inf + 0 1.964 * * [simplify]: Extracting #2: cost 5 inf + 0 1.964 * * [simplify]: Extracting #3: cost 7 inf + 0 1.964 * * [simplify]: Extracting #4: cost 6 inf + 1 1.964 * * [simplify]: Extracting #5: cost 0 inf + 767 1.964 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 1.964 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2)))) 1.965 * * * * [progress]: [ 38 / 184 ] simplifiying candidate # 1.965 * [simplify]: Simplifying (sqrt (cos th)) 1.965 * * [simplify]: iters left: 2 (3 enodes) 1.965 * * [simplify]: iters left: 1 (9 enodes) 1.966 * * [simplify]: Extracting #0: cost 1 inf + 0 1.966 * * [simplify]: Extracting #1: cost 3 inf + 0 1.966 * * [simplify]: Extracting #2: cost 5 inf + 0 1.966 * * [simplify]: Extracting #3: cost 4 inf + 1 1.966 * * [simplify]: Extracting #4: cost 0 inf + 325 1.967 * [simplify]: Simplified to (sqrt (cos th)) 1.967 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2)))) 1.967 * * * * [progress]: [ 39 / 184 ] simplifiying candidate # 1.967 * * * * [progress]: [ 40 / 184 ] simplifiying candidate #real (real->posit16 (/ (cos th) (sqrt 2)))) (* a2 a2))))> 1.967 * * * * [progress]: [ 41 / 184 ] simplifiying candidate # 1.967 * * * * [progress]: [ 42 / 184 ] simplifiying candidate # 1.967 * [simplify]: Simplifying (- (log (cos th)) (log (sqrt 2))) 1.967 * * [simplify]: iters left: 4 (7 enodes) 1.969 * * [simplify]: iters left: 3 (23 enodes) 1.972 * * [simplify]: iters left: 2 (26 enodes) 1.976 * * [simplify]: Extracting #0: cost 1 inf + 0 1.976 * * [simplify]: Extracting #1: cost 5 inf + 0 1.976 * * [simplify]: Extracting #2: cost 10 inf + 0 1.976 * * [simplify]: Extracting #3: cost 14 inf + 0 1.976 * * [simplify]: Extracting #4: cost 12 inf + 2 1.976 * * [simplify]: Extracting #5: cost 6 inf + 468 1.977 * * [simplify]: Extracting #6: cost 1 inf + 1274 1.977 * * [simplify]: Extracting #7: cost 0 inf + 1556 1.977 * [simplify]: Simplified to (- (log (cos th)) (log (sqrt 2))) 1.977 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 1.977 * * * * [progress]: [ 43 / 184 ] simplifiying candidate # 1.977 * * * * [progress]: [ 44 / 184 ] simplifiying candidate # 1.977 * * * * [progress]: [ 45 / 184 ] simplifiying candidate # 1.978 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 1.978 * * [simplify]: iters left: 6 (9 enodes) 1.982 * * [simplify]: iters left: 5 (34 enodes) 1.992 * * [simplify]: iters left: 4 (74 enodes) 2.009 * * [simplify]: iters left: 3 (146 enodes) 2.052 * * [simplify]: iters left: 2 (206 enodes) 2.128 * * [simplify]: iters left: 1 (295 enodes) 2.215 * * [simplify]: Extracting #0: cost 1 inf + 0 2.215 * * [simplify]: Extracting #1: cost 49 inf + 0 2.215 * * [simplify]: Extracting #2: cost 103 inf + 123 2.216 * * [simplify]: Extracting #3: cost 82 inf + 3103 2.218 * * [simplify]: Extracting #4: cost 39 inf + 15197 2.221 * * [simplify]: Extracting #5: cost 6 inf + 30076 2.225 * * [simplify]: Extracting #6: cost 0 inf + 33438 2.230 * [simplify]: Simplified to (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2)))) 2.230 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.230 * * * * [progress]: [ 46 / 184 ] simplifiying candidate # 2.230 * * * * [progress]: [ 47 / 184 ] simplifiying candidate # 2.230 * * * * [progress]: [ 48 / 184 ] simplifiying candidate # 2.230 * * * * [progress]: [ 49 / 184 ] simplifiying candidate # 2.230 * * * * [progress]: [ 50 / 184 ] simplifiying candidate # 2.230 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 2.230 * * [simplify]: iters left: 6 (9 enodes) 2.233 * * [simplify]: iters left: 5 (33 enodes) 2.238 * * [simplify]: iters left: 4 (48 enodes) 2.246 * * [simplify]: iters left: 3 (55 enodes) 2.257 * * [simplify]: iters left: 2 (58 enodes) 2.265 * * [simplify]: Extracting #0: cost 1 inf + 0 2.265 * * [simplify]: Extracting #1: cost 11 inf + 0 2.265 * * [simplify]: Extracting #2: cost 22 inf + 0 2.265 * * [simplify]: Extracting #3: cost 26 inf + 0 2.265 * * [simplify]: Extracting #4: cost 22 inf + 104 2.266 * * [simplify]: Extracting #5: cost 7 inf + 3466 2.266 * * [simplify]: Extracting #6: cost 0 inf + 5358 2.267 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 2.267 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.267 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) 2.267 * * [simplify]: iters left: 4 (7 enodes) 2.269 * * [simplify]: iters left: 3 (21 enodes) 2.272 * * [simplify]: Extracting #0: cost 1 inf + 0 2.272 * * [simplify]: Extracting #1: cost 4 inf + 0 2.272 * * [simplify]: Extracting #2: cost 8 inf + 0 2.272 * * [simplify]: Extracting #3: cost 12 inf + 0 2.272 * * [simplify]: Extracting #4: cost 10 inf + 2 2.272 * * [simplify]: Extracting #5: cost 4 inf + 448 2.273 * * [simplify]: Extracting #6: cost 1 inf + 1032 2.273 * * [simplify]: Extracting #7: cost 0 inf + 1334 2.273 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) 2.273 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.273 * * * * [progress]: [ 51 / 184 ] simplifiying candidate # 2.273 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 2.273 * * [simplify]: iters left: 6 (9 enodes) 2.276 * * [simplify]: iters left: 5 (30 enodes) 2.280 * * [simplify]: iters left: 4 (34 enodes) 2.288 * * [simplify]: iters left: 3 (37 enodes) 2.293 * * [simplify]: Extracting #0: cost 1 inf + 0 2.293 * * [simplify]: Extracting #1: cost 7 inf + 0 2.293 * * [simplify]: Extracting #2: cost 15 inf + 0 2.293 * * [simplify]: Extracting #3: cost 20 inf + 0 2.293 * * [simplify]: Extracting #4: cost 14 inf + 386 2.293 * * [simplify]: Extracting #5: cost 4 inf + 2139 2.294 * * [simplify]: Extracting #6: cost 0 inf + 3306 2.294 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 2.294 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.294 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt 2))) 2.294 * * [simplify]: iters left: 4 (7 enodes) 2.296 * * [simplify]: iters left: 3 (21 enodes) 2.299 * * [simplify]: Extracting #0: cost 1 inf + 0 2.299 * * [simplify]: Extracting #1: cost 4 inf + 0 2.299 * * [simplify]: Extracting #2: cost 8 inf + 0 2.299 * * [simplify]: Extracting #3: cost 12 inf + 0 2.299 * * [simplify]: Extracting #4: cost 10 inf + 2 2.300 * * [simplify]: Extracting #5: cost 4 inf + 528 2.300 * * [simplify]: Extracting #6: cost 1 inf + 1112 2.300 * * [simplify]: Extracting #7: cost 0 inf + 1414 2.300 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt 2))) 2.300 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.300 * * * * [progress]: [ 52 / 184 ] simplifiying candidate # 2.300 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 2.300 * * [simplify]: iters left: 6 (8 enodes) 2.303 * * [simplify]: iters left: 5 (26 enodes) 2.311 * * [simplify]: iters left: 4 (30 enodes) 2.320 * * [simplify]: iters left: 3 (33 enodes) 2.330 * * [simplify]: Extracting #0: cost 1 inf + 0 2.330 * * [simplify]: Extracting #1: cost 7 inf + 0 2.330 * * [simplify]: Extracting #2: cost 14 inf + 0 2.331 * * [simplify]: Extracting #3: cost 18 inf + 0 2.331 * * [simplify]: Extracting #4: cost 15 inf + 43 2.331 * * [simplify]: Extracting #5: cost 11 inf + 307 2.331 * * [simplify]: Extracting #6: cost 2 inf + 2181 2.332 * * [simplify]: Extracting #7: cost 0 inf + 2664 2.333 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 2.333 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.333 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 2.333 * * [simplify]: iters left: 4 (7 enodes) 2.337 * * [simplify]: iters left: 3 (21 enodes) 2.343 * * [simplify]: Extracting #0: cost 1 inf + 0 2.343 * * [simplify]: Extracting #1: cost 4 inf + 0 2.343 * * [simplify]: Extracting #2: cost 8 inf + 0 2.343 * * [simplify]: Extracting #3: cost 12 inf + 0 2.343 * * [simplify]: Extracting #4: cost 10 inf + 2 2.344 * * [simplify]: Extracting #5: cost 4 inf + 368 2.344 * * [simplify]: Extracting #6: cost 1 inf + 912 2.344 * * [simplify]: Extracting #7: cost 0 inf + 1174 2.344 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 2.344 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.345 * * * * [progress]: [ 53 / 184 ] simplifiying candidate # 2.345 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 2.345 * * [simplify]: iters left: 6 (7 enodes) 2.349 * * [simplify]: iters left: 5 (25 enodes) 2.356 * * [simplify]: iters left: 4 (31 enodes) 2.365 * * [simplify]: iters left: 3 (35 enodes) 2.373 * * [simplify]: iters left: 2 (36 enodes) 2.381 * * [simplify]: Extracting #0: cost 1 inf + 0 2.381 * * [simplify]: Extracting #1: cost 5 inf + 0 2.381 * * [simplify]: Extracting #2: cost 7 inf + 1 2.381 * * [simplify]: Extracting #3: cost 9 inf + 1 2.381 * * [simplify]: Extracting #4: cost 8 inf + 2 2.382 * * [simplify]: Extracting #5: cost 1 inf + 951 2.382 * * [simplify]: Extracting #6: cost 0 inf + 1132 2.382 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 2.382 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.383 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 2.383 * * [simplify]: iters left: 4 (6 enodes) 2.386 * * [simplify]: iters left: 3 (18 enodes) 2.392 * * [simplify]: Extracting #0: cost 1 inf + 0 2.392 * * [simplify]: Extracting #1: cost 4 inf + 0 2.392 * * [simplify]: Extracting #2: cost 8 inf + 0 2.392 * * [simplify]: Extracting #3: cost 7 inf + 83 2.392 * * [simplify]: Extracting #4: cost 6 inf + 84 2.392 * * [simplify]: Extracting #5: cost 0 inf + 932 2.392 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 2.392 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.393 * * * * [progress]: [ 54 / 184 ] simplifiying candidate # 2.393 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 2.393 * * [simplify]: iters left: 6 (8 enodes) 2.397 * * [simplify]: iters left: 5 (26 enodes) 2.405 * * [simplify]: iters left: 4 (30 enodes) 2.413 * * [simplify]: iters left: 3 (33 enodes) 2.420 * * [simplify]: Extracting #0: cost 1 inf + 0 2.421 * * [simplify]: Extracting #1: cost 7 inf + 0 2.421 * * [simplify]: Extracting #2: cost 14 inf + 0 2.421 * * [simplify]: Extracting #3: cost 18 inf + 0 2.421 * * [simplify]: Extracting #4: cost 15 inf + 43 2.421 * * [simplify]: Extracting #5: cost 11 inf + 307 2.421 * * [simplify]: Extracting #6: cost 2 inf + 2181 2.421 * * [simplify]: Extracting #7: cost 0 inf + 2664 2.422 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 2.422 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.422 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 2.422 * * [simplify]: iters left: 4 (7 enodes) 2.424 * * [simplify]: iters left: 3 (21 enodes) 2.428 * * [simplify]: Extracting #0: cost 1 inf + 0 2.428 * * [simplify]: Extracting #1: cost 4 inf + 0 2.428 * * [simplify]: Extracting #2: cost 8 inf + 0 2.428 * * [simplify]: Extracting #3: cost 12 inf + 0 2.428 * * [simplify]: Extracting #4: cost 10 inf + 2 2.428 * * [simplify]: Extracting #5: cost 4 inf + 368 2.428 * * [simplify]: Extracting #6: cost 1 inf + 912 2.428 * * [simplify]: Extracting #7: cost 0 inf + 1174 2.429 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 2.429 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.429 * * * * [progress]: [ 55 / 184 ] simplifiying candidate # 2.429 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 2.429 * * [simplify]: iters left: 6 (6 enodes) 2.431 * * [simplify]: iters left: 5 (20 enodes) 2.434 * * [simplify]: iters left: 4 (30 enodes) 2.439 * * [simplify]: iters left: 3 (31 enodes) 2.443 * * [simplify]: Extracting #0: cost 1 inf + 0 2.443 * * [simplify]: Extracting #1: cost 5 inf + 0 2.443 * * [simplify]: Extracting #2: cost 7 inf + 1 2.443 * * [simplify]: Extracting #3: cost 9 inf + 1 2.444 * * [simplify]: Extracting #4: cost 8 inf + 2 2.444 * * [simplify]: Extracting #5: cost 0 inf + 1132 2.444 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 2.444 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.445 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 2.445 * * [simplify]: iters left: 4 (6 enodes) 2.448 * * [simplify]: iters left: 3 (18 enodes) 2.453 * * [simplify]: Extracting #0: cost 1 inf + 0 2.453 * * [simplify]: Extracting #1: cost 4 inf + 0 2.453 * * [simplify]: Extracting #2: cost 8 inf + 0 2.453 * * [simplify]: Extracting #3: cost 7 inf + 83 2.454 * * [simplify]: Extracting #4: cost 6 inf + 84 2.454 * * [simplify]: Extracting #5: cost 0 inf + 932 2.454 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 2.454 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.454 * * * * [progress]: [ 56 / 184 ] simplifiying candidate # 2.455 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 2.455 * * [simplify]: iters left: 6 (8 enodes) 2.459 * * [simplify]: iters left: 5 (26 enodes) 2.464 * * [simplify]: iters left: 4 (28 enodes) 2.468 * * [simplify]: Extracting #0: cost 1 inf + 0 2.468 * * [simplify]: Extracting #1: cost 6 inf + 0 2.468 * * [simplify]: Extracting #2: cost 12 inf + 0 2.468 * * [simplify]: Extracting #3: cost 16 inf + 0 2.468 * * [simplify]: Extracting #4: cost 14 inf + 2 2.468 * * [simplify]: Extracting #5: cost 10 inf + 266 2.469 * * [simplify]: Extracting #6: cost 1 inf + 1798 2.469 * * [simplify]: Extracting #7: cost 0 inf + 2100 2.469 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 2.469 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.469 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) 2.469 * * [simplify]: iters left: 4 (7 enodes) 2.471 * * [simplify]: iters left: 3 (21 enodes) 2.474 * * [simplify]: Extracting #0: cost 1 inf + 0 2.474 * * [simplify]: Extracting #1: cost 4 inf + 0 2.474 * * [simplify]: Extracting #2: cost 8 inf + 0 2.474 * * [simplify]: Extracting #3: cost 12 inf + 0 2.474 * * [simplify]: Extracting #4: cost 10 inf + 2 2.475 * * [simplify]: Extracting #5: cost 4 inf + 448 2.475 * * [simplify]: Extracting #6: cost 1 inf + 912 2.475 * * [simplify]: Extracting #7: cost 0 inf + 1174 2.475 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 2.475 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.475 * * * * [progress]: [ 57 / 184 ] simplifiying candidate # 2.475 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 2.475 * * [simplify]: iters left: 6 (8 enodes) 2.477 * * [simplify]: iters left: 5 (25 enodes) 2.481 * * [simplify]: Extracting #0: cost 1 inf + 0 2.481 * * [simplify]: Extracting #1: cost 4 inf + 0 2.481 * * [simplify]: Extracting #2: cost 9 inf + 0 2.481 * * [simplify]: Extracting #3: cost 14 inf + 0 2.481 * * [simplify]: Extracting #4: cost 12 inf + 2 2.481 * * [simplify]: Extracting #5: cost 6 inf + 528 2.481 * * [simplify]: Extracting #6: cost 1 inf + 1234 2.482 * * [simplify]: Extracting #7: cost 0 inf + 1496 2.482 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 2.482 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.482 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt 2))) 2.482 * * [simplify]: iters left: 4 (7 enodes) 2.484 * * [simplify]: iters left: 3 (21 enodes) 2.487 * * [simplify]: Extracting #0: cost 1 inf + 0 2.487 * * [simplify]: Extracting #1: cost 4 inf + 0 2.487 * * [simplify]: Extracting #2: cost 8 inf + 0 2.487 * * [simplify]: Extracting #3: cost 12 inf + 0 2.487 * * [simplify]: Extracting #4: cost 10 inf + 2 2.487 * * [simplify]: Extracting #5: cost 4 inf + 528 2.487 * * [simplify]: Extracting #6: cost 1 inf + 992 2.488 * * [simplify]: Extracting #7: cost 0 inf + 1254 2.488 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt 2))) 2.488 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.488 * * * * [progress]: [ 58 / 184 ] simplifiying candidate # 2.488 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.488 * * [simplify]: iters left: 4 (7 enodes) 2.490 * * [simplify]: iters left: 3 (21 enodes) 2.494 * * [simplify]: Extracting #0: cost 1 inf + 0 2.494 * * [simplify]: Extracting #1: cost 4 inf + 0 2.494 * * [simplify]: Extracting #2: cost 8 inf + 0 2.494 * * [simplify]: Extracting #3: cost 12 inf + 0 2.494 * * [simplify]: Extracting #4: cost 10 inf + 2 2.494 * * [simplify]: Extracting #5: cost 4 inf + 368 2.494 * * [simplify]: Extracting #6: cost 1 inf + 792 2.494 * * [simplify]: Extracting #7: cost 0 inf + 1014 2.495 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.495 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.495 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.495 * * [simplify]: iters left: 4 (7 enodes) 2.499 * * [simplify]: iters left: 3 (21 enodes) 2.505 * * [simplify]: Extracting #0: cost 1 inf + 0 2.505 * * [simplify]: Extracting #1: cost 4 inf + 0 2.505 * * [simplify]: Extracting #2: cost 8 inf + 0 2.505 * * [simplify]: Extracting #3: cost 12 inf + 0 2.505 * * [simplify]: Extracting #4: cost 10 inf + 2 2.506 * * [simplify]: Extracting #5: cost 4 inf + 368 2.506 * * [simplify]: Extracting #6: cost 1 inf + 792 2.506 * * [simplify]: Extracting #7: cost 0 inf + 1014 2.506 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.506 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.507 * * * * [progress]: [ 59 / 184 ] simplifiying candidate # 2.507 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 2.507 * * [simplify]: iters left: 4 (6 enodes) 2.512 * * [simplify]: iters left: 3 (20 enodes) 2.518 * * [simplify]: iters left: 2 (22 enodes) 2.526 * * [simplify]: iters left: 1 (24 enodes) 2.532 * * [simplify]: Extracting #0: cost 1 inf + 0 2.532 * * [simplify]: Extracting #1: cost 4 inf + 0 2.532 * * [simplify]: Extracting #2: cost 5 inf + 1 2.532 * * [simplify]: Extracting #3: cost 4 inf + 2 2.532 * * [simplify]: Extracting #4: cost 0 inf + 326 2.533 * [simplify]: Simplified to (sqrt (cos th)) 2.533 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.533 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 2.533 * * [simplify]: iters left: 4 (6 enodes) 2.537 * * [simplify]: iters left: 3 (18 enodes) 2.543 * * [simplify]: Extracting #0: cost 1 inf + 0 2.543 * * [simplify]: Extracting #1: cost 4 inf + 0 2.543 * * [simplify]: Extracting #2: cost 8 inf + 0 2.543 * * [simplify]: Extracting #3: cost 7 inf + 83 2.543 * * [simplify]: Extracting #4: cost 6 inf + 84 2.543 * * [simplify]: Extracting #5: cost 0 inf + 772 2.544 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 2.544 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.544 * * * * [progress]: [ 60 / 184 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.544 * * [simplify]: iters left: 4 (7 enodes) 2.548 * * [simplify]: iters left: 3 (21 enodes) 2.554 * * [simplify]: Extracting #0: cost 1 inf + 0 2.554 * * [simplify]: Extracting #1: cost 4 inf + 0 2.554 * * [simplify]: Extracting #2: cost 8 inf + 0 2.554 * * [simplify]: Extracting #3: cost 12 inf + 0 2.554 * * [simplify]: Extracting #4: cost 10 inf + 2 2.555 * * [simplify]: Extracting #5: cost 4 inf + 368 2.555 * * [simplify]: Extracting #6: cost 1 inf + 792 2.555 * * [simplify]: Extracting #7: cost 0 inf + 1014 2.555 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.555 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.556 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.556 * * [simplify]: iters left: 4 (7 enodes) 2.559 * * [simplify]: iters left: 3 (21 enodes) 2.566 * * [simplify]: Extracting #0: cost 1 inf + 0 2.566 * * [simplify]: Extracting #1: cost 4 inf + 0 2.566 * * [simplify]: Extracting #2: cost 8 inf + 0 2.566 * * [simplify]: Extracting #3: cost 12 inf + 0 2.566 * * [simplify]: Extracting #4: cost 10 inf + 2 2.566 * * [simplify]: Extracting #5: cost 4 inf + 368 2.566 * * [simplify]: Extracting #6: cost 1 inf + 792 2.567 * * [simplify]: Extracting #7: cost 0 inf + 1014 2.567 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 2.567 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.567 * * * * [progress]: [ 61 / 184 ] simplifiying candidate # 2.568 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 2.568 * * [simplify]: iters left: 4 (5 enodes) 2.570 * * [simplify]: iters left: 3 (15 enodes) 2.575 * * [simplify]: iters left: 2 (17 enodes) 2.580 * * [simplify]: Extracting #0: cost 1 inf + 0 2.580 * * [simplify]: Extracting #1: cost 4 inf + 0 2.580 * * [simplify]: Extracting #2: cost 5 inf + 1 2.580 * * [simplify]: Extracting #3: cost 4 inf + 2 2.580 * * [simplify]: Extracting #4: cost 1 inf + 225 2.580 * * [simplify]: Extracting #5: cost 0 inf + 326 2.580 * [simplify]: Simplified to (sqrt (cos th)) 2.580 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.581 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 2.581 * * [simplify]: iters left: 4 (6 enodes) 2.584 * * [simplify]: iters left: 3 (18 enodes) 2.590 * * [simplify]: Extracting #0: cost 1 inf + 0 2.590 * * [simplify]: Extracting #1: cost 4 inf + 0 2.590 * * [simplify]: Extracting #2: cost 8 inf + 0 2.590 * * [simplify]: Extracting #3: cost 7 inf + 83 2.590 * * [simplify]: Extracting #4: cost 6 inf + 84 2.590 * * [simplify]: Extracting #5: cost 0 inf + 772 2.590 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 2.590 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.591 * * * * [progress]: [ 62 / 184 ] simplifiying candidate # 2.591 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 2.591 * * [simplify]: iters left: 6 (6 enodes) 2.595 * * [simplify]: iters left: 5 (22 enodes) 2.603 * * [simplify]: iters left: 4 (26 enodes) 2.611 * * [simplify]: Extracting #0: cost 1 inf + 0 2.612 * * [simplify]: Extracting #1: cost 6 inf + 0 2.612 * * [simplify]: Extracting #2: cost 9 inf + 1 2.612 * * [simplify]: Extracting #3: cost 11 inf + 1 2.612 * * [simplify]: Extracting #4: cost 8 inf + 84 2.612 * * [simplify]: Extracting #5: cost 2 inf + 1013 2.612 * * [simplify]: Extracting #6: cost 0 inf + 1376 2.613 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 2.613 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.613 * [simplify]: Simplifying (/ (cos th) (cbrt (sqrt 2))) 2.613 * * [simplify]: iters left: 4 (6 enodes) 2.617 * * [simplify]: iters left: 3 (18 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 4 inf + 0 2.622 * * [simplify]: Extracting #2: cost 8 inf + 0 2.622 * * [simplify]: Extracting #3: cost 9 inf + 1 2.622 * * [simplify]: Extracting #4: cost 0 inf + 892 2.623 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 2.623 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.623 * * * * [progress]: [ 63 / 184 ] simplifiying candidate # 2.623 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 2.623 * * [simplify]: iters left: 6 (6 enodes) 2.627 * * [simplify]: iters left: 5 (21 enodes) 2.634 * * [simplify]: iters left: 4 (23 enodes) 2.642 * * [simplify]: Extracting #0: cost 1 inf + 0 2.642 * * [simplify]: Extracting #1: cost 4 inf + 0 2.642 * * [simplify]: Extracting #2: cost 6 inf + 1 2.642 * * [simplify]: Extracting #3: cost 9 inf + 1 2.642 * * [simplify]: Extracting #4: cost 8 inf + 2 2.642 * * [simplify]: Extracting #5: cost 1 inf + 810 2.643 * * [simplify]: Extracting #6: cost 0 inf + 972 2.643 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 2.643 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.643 * [simplify]: Simplifying (/ (cos th) (sqrt (cbrt 2))) 2.643 * * [simplify]: iters left: 4 (6 enodes) 2.647 * * [simplify]: iters left: 3 (18 enodes) 2.653 * * [simplify]: Extracting #0: cost 1 inf + 0 2.653 * * [simplify]: Extracting #1: cost 4 inf + 0 2.653 * * [simplify]: Extracting #2: cost 8 inf + 0 2.653 * * [simplify]: Extracting #3: cost 9 inf + 1 2.653 * * [simplify]: Extracting #4: cost 0 inf + 972 2.653 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt 2))) 2.654 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.654 * * * * [progress]: [ 64 / 184 ] simplifiying candidate # 2.654 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 2.654 * * [simplify]: iters left: 4 (5 enodes) 2.657 * * [simplify]: iters left: 3 (17 enodes) 2.664 * * [simplify]: iters left: 2 (19 enodes) 2.670 * * [simplify]: Extracting #0: cost 1 inf + 0 2.670 * * [simplify]: Extracting #1: cost 4 inf + 0 2.670 * * [simplify]: Extracting #2: cost 5 inf + 1 2.670 * * [simplify]: Extracting #3: cost 7 inf + 1 2.670 * * [simplify]: Extracting #4: cost 0 inf + 490 2.670 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 2.670 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.671 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 2.671 * * [simplify]: iters left: 4 (6 enodes) 2.674 * * [simplify]: iters left: 3 (18 enodes) 2.680 * * [simplify]: Extracting #0: cost 1 inf + 0 2.680 * * [simplify]: Extracting #1: cost 4 inf + 0 2.680 * * [simplify]: Extracting #2: cost 8 inf + 0 2.680 * * [simplify]: Extracting #3: cost 9 inf + 1 2.680 * * [simplify]: Extracting #4: cost 0 inf + 732 2.680 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 2.680 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.681 * * * * [progress]: [ 65 / 184 ] simplifiying candidate # 2.681 * [simplify]: Simplifying (/ 1 (sqrt 1)) 2.681 * * [simplify]: iters left: 3 (3 enodes) 2.689 * * [simplify]: iters left: 2 (11 enodes) 2.692 * * [simplify]: iters left: 1 (13 enodes) 2.695 * * [simplify]: Extracting #0: cost 1 inf + 0 2.695 * * [simplify]: Extracting #1: cost 0 inf + 1 2.695 * [simplify]: Simplified to 1 2.695 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.695 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 2.695 * * [simplify]: iters left: 3 (5 enodes) 2.698 * * [simplify]: iters left: 2 (15 enodes) 2.703 * * [simplify]: Extracting #0: cost 1 inf + 0 2.703 * * [simplify]: Extracting #1: cost 4 inf + 0 2.703 * * [simplify]: Extracting #2: cost 8 inf + 0 2.703 * * [simplify]: Extracting #3: cost 4 inf + 84 2.704 * * [simplify]: Extracting #4: cost 0 inf + 490 2.704 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 2.704 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.704 * * * * [progress]: [ 66 / 184 ] simplifiying candidate # 2.704 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 2.704 * * [simplify]: iters left: 4 (5 enodes) 2.708 * * [simplify]: iters left: 3 (17 enodes) 2.713 * * [simplify]: iters left: 2 (19 enodes) 2.720 * * [simplify]: Extracting #0: cost 1 inf + 0 2.720 * * [simplify]: Extracting #1: cost 4 inf + 0 2.720 * * [simplify]: Extracting #2: cost 5 inf + 1 2.720 * * [simplify]: Extracting #3: cost 7 inf + 1 2.720 * * [simplify]: Extracting #4: cost 0 inf + 490 2.720 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 2.720 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.721 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 2.721 * * [simplify]: iters left: 4 (6 enodes) 2.724 * * [simplify]: iters left: 3 (18 enodes) 2.729 * * [simplify]: Extracting #0: cost 1 inf + 0 2.729 * * [simplify]: Extracting #1: cost 4 inf + 0 2.730 * * [simplify]: Extracting #2: cost 8 inf + 0 2.730 * * [simplify]: Extracting #3: cost 9 inf + 1 2.730 * * [simplify]: Extracting #4: cost 0 inf + 732 2.730 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 2.730 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.730 * * * * [progress]: [ 67 / 184 ] simplifiying candidate # 2.731 * [simplify]: Simplifying (/ 1 1) 2.731 * * [simplify]: iters left: 2 (2 enodes) 2.732 * * [simplify]: iters left: 1 (6 enodes) 2.734 * * [simplify]: Extracting #0: cost 1 inf + 0 2.734 * * [simplify]: Extracting #1: cost 0 inf + 1 2.734 * [simplify]: Simplified to 1 2.734 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.735 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 2.735 * * [simplify]: iters left: 3 (5 enodes) 2.738 * * [simplify]: iters left: 2 (15 enodes) 2.742 * * [simplify]: Extracting #0: cost 1 inf + 0 2.742 * * [simplify]: Extracting #1: cost 4 inf + 0 2.742 * * [simplify]: Extracting #2: cost 8 inf + 0 2.743 * * [simplify]: Extracting #3: cost 4 inf + 84 2.743 * * [simplify]: Extracting #4: cost 0 inf + 490 2.743 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 2.743 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.743 * * * * [progress]: [ 68 / 184 ] simplifiying candidate # 2.743 * * * * [progress]: [ 69 / 184 ] simplifiying candidate # 2.743 * * * * [progress]: [ 70 / 184 ] simplifiying candidate # 2.743 * * * * [progress]: [ 71 / 184 ] simplifiying candidate # 2.744 * [simplify]: Simplifying (cbrt (sqrt 2)) 2.744 * * [simplify]: iters left: 2 (3 enodes) 2.746 * * [simplify]: iters left: 1 (9 enodes) 2.749 * * [simplify]: Extracting #0: cost 1 inf + 0 2.749 * * [simplify]: Extracting #1: cost 3 inf + 0 2.749 * * [simplify]: Extracting #2: cost 5 inf + 0 2.749 * * [simplify]: Extracting #3: cost 4 inf + 1 2.749 * * [simplify]: Extracting #4: cost 0 inf + 325 2.749 * [simplify]: Simplified to (cbrt (sqrt 2)) 2.749 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.749 * * * * [progress]: [ 72 / 184 ] simplifiying candidate # 2.750 * [simplify]: Simplifying (sqrt (cbrt 2)) 2.750 * * [simplify]: iters left: 2 (3 enodes) 2.752 * * [simplify]: iters left: 1 (9 enodes) 2.755 * * [simplify]: Extracting #0: cost 1 inf + 0 2.755 * * [simplify]: Extracting #1: cost 3 inf + 0 2.755 * * [simplify]: Extracting #2: cost 5 inf + 0 2.755 * * [simplify]: Extracting #3: cost 4 inf + 1 2.755 * * [simplify]: Extracting #4: cost 0 inf + 405 2.755 * [simplify]: Simplified to (sqrt (cbrt 2)) 2.755 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.755 * * * * [progress]: [ 73 / 184 ] simplifiying candidate # 2.756 * [simplify]: Simplifying (sqrt (sqrt 2)) 2.756 * * [simplify]: iters left: 2 (3 enodes) 2.758 * * [simplify]: iters left: 1 (9 enodes) 2.761 * * [simplify]: Extracting #0: cost 1 inf + 0 2.761 * * [simplify]: Extracting #1: cost 3 inf + 0 2.761 * * [simplify]: Extracting #2: cost 5 inf + 0 2.761 * * [simplify]: Extracting #3: cost 4 inf + 1 2.761 * * [simplify]: Extracting #4: cost 0 inf + 245 2.761 * [simplify]: Simplified to (sqrt (sqrt 2)) 2.761 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.761 * * * * [progress]: [ 74 / 184 ] simplifiying candidate # 2.762 * [simplify]: Simplifying (sqrt 2) 2.762 * * [simplify]: iters left: 1 (2 enodes) 2.763 * * [simplify]: Extracting #0: cost 1 inf + 0 2.763 * * [simplify]: Extracting #1: cost 3 inf + 0 2.763 * * [simplify]: Extracting #2: cost 2 inf + 1 2.763 * * [simplify]: Extracting #3: cost 0 inf + 83 2.763 * [simplify]: Simplified to (sqrt 2) 2.763 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt 1)) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.764 * * * * [progress]: [ 75 / 184 ] simplifiying candidate # 2.764 * [simplify]: Simplifying (sqrt (sqrt 2)) 2.764 * * [simplify]: iters left: 2 (3 enodes) 2.766 * * [simplify]: iters left: 1 (9 enodes) 2.769 * * [simplify]: Extracting #0: cost 1 inf + 0 2.769 * * [simplify]: Extracting #1: cost 3 inf + 0 2.769 * * [simplify]: Extracting #2: cost 5 inf + 0 2.769 * * [simplify]: Extracting #3: cost 4 inf + 1 2.770 * * [simplify]: Extracting #4: cost 0 inf + 245 2.770 * [simplify]: Simplified to (sqrt (sqrt 2)) 2.770 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.770 * * * * [progress]: [ 76 / 184 ] simplifiying candidate # 2.770 * [simplify]: Simplifying (sqrt 2) 2.770 * * [simplify]: iters left: 1 (2 enodes) 2.772 * * [simplify]: Extracting #0: cost 1 inf + 0 2.772 * * [simplify]: Extracting #1: cost 3 inf + 0 2.772 * * [simplify]: Extracting #2: cost 2 inf + 1 2.772 * * [simplify]: Extracting #3: cost 0 inf + 83 2.772 * [simplify]: Simplified to (sqrt 2) 2.772 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.772 * * * * [progress]: [ 77 / 184 ] simplifiying candidate # 2.773 * [simplify]: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) 2.773 * * [simplify]: iters left: 4 (4 enodes) 2.774 * * [simplify]: iters left: 3 (12 enodes) 2.777 * * [simplify]: Extracting #0: cost 1 inf + 0 2.777 * * [simplify]: Extracting #1: cost 3 inf + 0 2.777 * * [simplify]: Extracting #2: cost 5 inf + 0 2.777 * * [simplify]: Extracting #3: cost 7 inf + 0 2.778 * * [simplify]: Extracting #4: cost 6 inf + 1 2.778 * * [simplify]: Extracting #5: cost 0 inf + 767 2.778 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 2.778 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.778 * * * * [progress]: [ 78 / 184 ] simplifiying candidate # 2.778 * [simplify]: Simplifying (sqrt (cos th)) 2.778 * * [simplify]: iters left: 2 (3 enodes) 2.780 * * [simplify]: iters left: 1 (9 enodes) 2.782 * * [simplify]: Extracting #0: cost 1 inf + 0 2.782 * * [simplify]: Extracting #1: cost 3 inf + 0 2.782 * * [simplify]: Extracting #2: cost 5 inf + 0 2.782 * * [simplify]: Extracting #3: cost 4 inf + 1 2.782 * * [simplify]: Extracting #4: cost 0 inf + 325 2.782 * [simplify]: Simplified to (sqrt (cos th)) 2.782 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 2.782 * * * * [progress]: [ 79 / 184 ] simplifiying candidate # 2.782 * * * * [progress]: [ 80 / 184 ] simplifiying candidate #real (real->posit16 (/ (cos th) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 2.783 * * * * [progress]: [ 81 / 184 ] simplifiying candidate # 2.783 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 2.783 * * [simplify]: iters left: 5 (8 enodes) 2.787 * * [simplify]: iters left: 4 (29 enodes) 2.796 * * [simplify]: iters left: 3 (42 enodes) 2.809 * * [simplify]: iters left: 2 (54 enodes) 2.819 * * [simplify]: iters left: 1 (61 enodes) 2.829 * * [simplify]: Extracting #0: cost 1 inf + 0 2.829 * * [simplify]: Extracting #1: cost 16 inf + 0 2.829 * * [simplify]: Extracting #2: cost 28 inf + 1 2.829 * * [simplify]: Extracting #3: cost 19 inf + 473 2.830 * * [simplify]: Extracting #4: cost 4 inf + 2525 2.830 * * [simplify]: Extracting #5: cost 0 inf + 3135 2.831 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 2.831 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 2.831 * * * * [progress]: [ 82 / 184 ] simplifiying candidate # 2.831 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 2.831 * * [simplify]: iters left: 5 (8 enodes) 2.834 * * [simplify]: iters left: 4 (29 enodes) 2.838 * * [simplify]: iters left: 3 (42 enodes) 2.848 * * [simplify]: iters left: 2 (54 enodes) 2.861 * * [simplify]: iters left: 1 (61 enodes) 2.869 * * [simplify]: Extracting #0: cost 1 inf + 0 2.869 * * [simplify]: Extracting #1: cost 16 inf + 0 2.869 * * [simplify]: Extracting #2: cost 28 inf + 1 2.869 * * [simplify]: Extracting #3: cost 19 inf + 473 2.869 * * [simplify]: Extracting #4: cost 4 inf + 2525 2.870 * * [simplify]: Extracting #5: cost 0 inf + 3135 2.871 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 2.871 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 2.871 * * * * [progress]: [ 83 / 184 ] simplifiying candidate # 2.871 * * * * [progress]: [ 84 / 184 ] simplifiying candidate # 2.871 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (+ (log a2) (log a2))) 2.871 * * [simplify]: iters left: 6 (11 enodes) 2.874 * * [simplify]: iters left: 5 (40 enodes) 2.880 * * [simplify]: iters left: 4 (63 enodes) 2.890 * * [simplify]: iters left: 3 (102 enodes) 2.924 * * [simplify]: iters left: 2 (144 enodes) 2.953 * * [simplify]: iters left: 1 (166 enodes) 2.984 * * [simplify]: Extracting #0: cost 1 inf + 0 2.984 * * [simplify]: Extracting #1: cost 29 inf + 0 2.985 * * [simplify]: Extracting #2: cost 53 inf + 0 2.985 * * [simplify]: Extracting #3: cost 53 inf + 254 2.986 * * [simplify]: Extracting #4: cost 35 inf + 2686 2.988 * * [simplify]: Extracting #5: cost 8 inf + 10161 2.992 * * [simplify]: Extracting #6: cost 0 inf + 13132 2.997 * [simplify]: Simplified to (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2)))) 2.997 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2))))))) 2.997 * * * * [progress]: [ 85 / 184 ] simplifiying candidate # 2.997 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) 2.997 * * [simplify]: iters left: 6 (11 enodes) 3.003 * * [simplify]: iters left: 5 (40 enodes) 3.016 * * [simplify]: iters left: 4 (62 enodes) 3.039 * * [simplify]: iters left: 3 (104 enodes) 3.069 * * [simplify]: iters left: 2 (142 enodes) 3.089 * * [simplify]: iters left: 1 (168 enodes) 3.138 * * [simplify]: Extracting #0: cost 1 inf + 0 3.138 * * [simplify]: Extracting #1: cost 29 inf + 0 3.138 * * [simplify]: Extracting #2: cost 54 inf + 0 3.139 * * [simplify]: Extracting #3: cost 56 inf + 153 3.139 * * [simplify]: Extracting #4: cost 36 inf + 2657 3.142 * * [simplify]: Extracting #5: cost 9 inf + 10001 3.146 * * [simplify]: Extracting #6: cost 0 inf + 13214 3.151 * [simplify]: Simplified to (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2)))) 3.151 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2))))))) 3.151 * * * * [progress]: [ 86 / 184 ] simplifiying candidate # 3.152 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 3.152 * * [simplify]: iters left: 6 (10 enodes) 3.157 * * [simplify]: iters left: 5 (36 enodes) 3.163 * * [simplify]: iters left: 4 (52 enodes) 3.171 * * [simplify]: iters left: 3 (81 enodes) 3.184 * * [simplify]: iters left: 2 (127 enodes) 3.218 * * [simplify]: iters left: 1 (153 enodes) 3.243 * * [simplify]: Extracting #0: cost 1 inf + 0 3.243 * * [simplify]: Extracting #1: cost 21 inf + 0 3.243 * * [simplify]: Extracting #2: cost 41 inf + 0 3.243 * * [simplify]: Extracting #3: cost 40 inf + 556 3.243 * * [simplify]: Extracting #4: cost 33 inf + 993 3.244 * * [simplify]: Extracting #5: cost 18 inf + 4050 3.246 * * [simplify]: Extracting #6: cost 1 inf + 8354 3.249 * * [simplify]: Extracting #7: cost 0 inf + 8546 3.252 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 3.252 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))))) 3.252 * * * * [progress]: [ 87 / 184 ] simplifiying candidate # 3.253 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 3.253 * * [simplify]: iters left: 6 (10 enodes) 3.258 * * [simplify]: iters left: 5 (36 enodes) 3.270 * * [simplify]: iters left: 4 (52 enodes) 3.286 * * [simplify]: iters left: 3 (81 enodes) 3.311 * * [simplify]: iters left: 2 (117 enodes) 3.347 * * [simplify]: iters left: 1 (150 enodes) 3.379 * * [simplify]: Extracting #0: cost 1 inf + 0 3.379 * * [simplify]: Extracting #1: cost 22 inf + 0 3.379 * * [simplify]: Extracting #2: cost 42 inf + 0 3.379 * * [simplify]: Extracting #3: cost 41 inf + 517 3.380 * * [simplify]: Extracting #4: cost 25 inf + 2678 3.381 * * [simplify]: Extracting #5: cost 6 inf + 6895 3.383 * * [simplify]: Extracting #6: cost 0 inf + 8628 3.385 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 3.385 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2)))))) 3.385 * * * * [progress]: [ 88 / 184 ] simplifiying candidate # 3.385 * * * * [progress]: [ 89 / 184 ] simplifiying candidate # 3.385 * * * * [progress]: [ 90 / 184 ] simplifiying candidate # 3.385 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 3.385 * * [simplify]: iters left: 6 (14 enodes) 3.389 * * [simplify]: iters left: 5 (61 enodes) 3.414 * * [simplify]: iters left: 4 (181 enodes) 3.546 * * [simplify]: Extracting #0: cost 1 inf + 0 3.547 * * [simplify]: Extracting #1: cost 76 inf + 0 3.547 * * [simplify]: Extracting #2: cost 235 inf + 124 3.550 * * [simplify]: Extracting #3: cost 165 inf + 14368 3.562 * * [simplify]: Extracting #4: cost 20 inf + 49845 3.584 * * [simplify]: Extracting #5: cost 0 inf + 55540 3.608 * * [simplify]: Extracting #6: cost 0 inf + 55500 3.632 * [simplify]: Simplified to (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2)) 3.632 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2))))) 3.632 * * * * [progress]: [ 91 / 184 ] simplifiying candidate # 3.633 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 3.633 * * [simplify]: iters left: 6 (14 enodes) 3.641 * * [simplify]: iters left: 5 (62 enodes) 3.666 * * [simplify]: iters left: 4 (174 enodes) 3.754 * * [simplify]: Extracting #0: cost 1 inf + 0 3.754 * * [simplify]: Extracting #1: cost 74 inf + 0 3.758 * * [simplify]: Extracting #2: cost 223 inf + 978 3.762 * * [simplify]: Extracting #3: cost 117 inf + 23061 3.772 * * [simplify]: Extracting #4: cost 7 inf + 51587 3.786 * * [simplify]: Extracting #5: cost 0 inf + 53337 3.808 * * [simplify]: Extracting #6: cost 0 inf + 53297 3.831 * [simplify]: Simplified to (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2))) 3.831 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2)))))) 3.832 * * * * [progress]: [ 92 / 184 ] simplifiying candidate # 3.832 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 3.832 * * [simplify]: iters left: 6 (12 enodes) 3.839 * * [simplify]: iters left: 5 (55 enodes) 3.862 * * [simplify]: iters left: 4 (146 enodes) 3.921 * * [simplify]: iters left: 3 (466 enodes) 4.313 * * [simplify]: Extracting #0: cost 1 inf + 0 4.313 * * [simplify]: Extracting #1: cost 112 inf + 0 4.316 * * [simplify]: Extracting #2: cost 333 inf + 165 4.325 * * [simplify]: Extracting #3: cost 235 inf + 23822 4.362 * * [simplify]: Extracting #4: cost 37 inf + 81592 4.386 * * [simplify]: Extracting #5: cost 0 inf + 95859 4.423 * [simplify]: Simplified to (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))))) 4.424 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2)))))))) 4.424 * * * * [progress]: [ 93 / 184 ] simplifiying candidate # 4.424 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 4.424 * * [simplify]: iters left: 6 (12 enodes) 4.428 * * [simplify]: iters left: 5 (56 enodes) 4.439 * * [simplify]: iters left: 4 (149 enodes) 4.484 * * [simplify]: iters left: 3 (484 enodes) 4.950 * * [simplify]: Extracting #0: cost 1 inf + 0 4.951 * * [simplify]: Extracting #1: cost 116 inf + 0 4.953 * * [simplify]: Extracting #2: cost 379 inf + 167 4.959 * * [simplify]: Extracting #3: cost 262 inf + 31859 4.986 * * [simplify]: Extracting #4: cost 24 inf + 104764 5.035 * * [simplify]: Extracting #5: cost 0 inf + 112531 5.082 * [simplify]: Simplified to (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) 5.082 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2))))))) 5.082 * * * * [progress]: [ 94 / 184 ] simplifiying candidate # 5.082 * * * * [progress]: [ 95 / 184 ] simplifiying candidate # 5.082 * * * * [progress]: [ 96 / 184 ] simplifiying candidate # 5.082 * * * * [progress]: [ 97 / 184 ] simplifiying candidate # 5.083 * * * * [progress]: [ 98 / 184 ] simplifiying candidate # 5.083 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 5.083 * * [simplify]: iters left: 6 (8 enodes) 5.085 * * [simplify]: iters left: 5 (25 enodes) 5.089 * * [simplify]: Extracting #0: cost 1 inf + 0 5.089 * * [simplify]: Extracting #1: cost 4 inf + 0 5.089 * * [simplify]: Extracting #2: cost 5 inf + 1 5.089 * * [simplify]: Extracting #3: cost 8 inf + 1 5.089 * * [simplify]: Extracting #4: cost 12 inf + 1 5.089 * * [simplify]: Extracting #5: cost 9 inf + 44 5.089 * * [simplify]: Extracting #6: cost 7 inf + 146 5.090 * * [simplify]: Extracting #7: cost 2 inf + 896 5.090 * * [simplify]: Extracting #8: cost 0 inf + 1301 5.090 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 5.090 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 5.090 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 5.090 * * [simplify]: iters left: 6 (8 enodes) 5.092 * * [simplify]: iters left: 5 (25 enodes) 5.096 * * [simplify]: Extracting #0: cost 1 inf + 0 5.096 * * [simplify]: Extracting #1: cost 4 inf + 0 5.096 * * [simplify]: Extracting #2: cost 5 inf + 1 5.096 * * [simplify]: Extracting #3: cost 8 inf + 1 5.096 * * [simplify]: Extracting #4: cost 12 inf + 1 5.096 * * [simplify]: Extracting #5: cost 9 inf + 44 5.096 * * [simplify]: Extracting #6: cost 7 inf + 146 5.097 * * [simplify]: Extracting #7: cost 2 inf + 896 5.097 * * [simplify]: Extracting #8: cost 0 inf + 1301 5.097 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 5.097 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 5.097 * * * * [progress]: [ 99 / 184 ] simplifiying candidate # 5.097 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 5.097 * * [simplify]: iters left: 6 (9 enodes) 5.101 * * [simplify]: iters left: 5 (30 enodes) 5.106 * * [simplify]: iters left: 4 (36 enodes) 5.115 * * [simplify]: iters left: 3 (38 enodes) 5.121 * * [simplify]: Extracting #0: cost 1 inf + 0 5.121 * * [simplify]: Extracting #1: cost 8 inf + 0 5.121 * * [simplify]: Extracting #2: cost 14 inf + 1 5.121 * * [simplify]: Extracting #3: cost 18 inf + 1 5.121 * * [simplify]: Extracting #4: cost 14 inf + 125 5.121 * * [simplify]: Extracting #5: cost 8 inf + 713 5.121 * * [simplify]: Extracting #6: cost 1 inf + 1847 5.122 * * [simplify]: Extracting #7: cost 0 inf + 2069 5.122 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 5.122 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 5.122 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 5.122 * * [simplify]: iters left: 6 (9 enodes) 5.125 * * [simplify]: iters left: 5 (30 enodes) 5.129 * * [simplify]: iters left: 4 (36 enodes) 5.135 * * [simplify]: iters left: 3 (38 enodes) 5.142 * * [simplify]: Extracting #0: cost 1 inf + 0 5.142 * * [simplify]: Extracting #1: cost 8 inf + 0 5.142 * * [simplify]: Extracting #2: cost 14 inf + 1 5.142 * * [simplify]: Extracting #3: cost 18 inf + 1 5.142 * * [simplify]: Extracting #4: cost 14 inf + 125 5.143 * * [simplify]: Extracting #5: cost 8 inf + 713 5.143 * * [simplify]: Extracting #6: cost 1 inf + 1847 5.144 * * [simplify]: Extracting #7: cost 0 inf + 2069 5.145 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 5.145 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 5.145 * * * * [progress]: [ 100 / 184 ] simplifiying candidate # 5.145 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 5.145 * * [simplify]: iters left: 6 (9 enodes) 5.150 * * [simplify]: iters left: 5 (30 enodes) 5.159 * * [simplify]: iters left: 4 (36 enodes) 5.170 * * [simplify]: iters left: 3 (38 enodes) 5.180 * * [simplify]: Extracting #0: cost 1 inf + 0 5.180 * * [simplify]: Extracting #1: cost 8 inf + 0 5.180 * * [simplify]: Extracting #2: cost 14 inf + 1 5.180 * * [simplify]: Extracting #3: cost 18 inf + 1 5.180 * * [simplify]: Extracting #4: cost 14 inf + 125 5.181 * * [simplify]: Extracting #5: cost 8 inf + 713 5.181 * * [simplify]: Extracting #6: cost 1 inf + 1847 5.182 * * [simplify]: Extracting #7: cost 0 inf + 2069 5.183 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 5.183 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 5.183 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 5.183 * * [simplify]: iters left: 6 (9 enodes) 5.187 * * [simplify]: iters left: 5 (30 enodes) 5.191 * * [simplify]: iters left: 4 (36 enodes) 5.197 * * [simplify]: iters left: 3 (38 enodes) 5.208 * * [simplify]: Extracting #0: cost 1 inf + 0 5.208 * * [simplify]: Extracting #1: cost 8 inf + 0 5.208 * * [simplify]: Extracting #2: cost 14 inf + 1 5.208 * * [simplify]: Extracting #3: cost 18 inf + 1 5.208 * * [simplify]: Extracting #4: cost 14 inf + 125 5.208 * * [simplify]: Extracting #5: cost 8 inf + 713 5.209 * * [simplify]: Extracting #6: cost 1 inf + 1847 5.209 * * [simplify]: Extracting #7: cost 0 inf + 2069 5.210 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 5.210 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 5.210 * * * * [progress]: [ 101 / 184 ] simplifiying candidate # 5.210 * * * * [progress]: [ 102 / 184 ] simplifiying candidate # 5.211 * [simplify]: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 5.211 * * [simplify]: iters left: 6 (7 enodes) 5.214 * * [simplify]: iters left: 5 (21 enodes) 5.223 * * [simplify]: Extracting #0: cost 1 inf + 0 5.223 * * [simplify]: Extracting #1: cost 3 inf + 0 5.223 * * [simplify]: Extracting #2: cost 5 inf + 0 5.223 * * [simplify]: Extracting #3: cost 8 inf + 0 5.223 * * [simplify]: Extracting #4: cost 12 inf + 0 5.223 * * [simplify]: Extracting #5: cost 10 inf + 2 5.224 * * [simplify]: Extracting #6: cost 1 inf + 1196 5.224 * * [simplify]: Extracting #7: cost 0 inf + 1458 5.224 * [simplify]: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 5.224 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 5.225 * * * * [progress]: [ 103 / 184 ] simplifiying candidate # 5.225 * [simplify]: Simplifying (sqrt (/ (cos th) (sqrt 2))) 5.225 * * [simplify]: iters left: 4 (6 enodes) 5.228 * * [simplify]: iters left: 3 (18 enodes) 5.234 * * [simplify]: Extracting #0: cost 1 inf + 0 5.234 * * [simplify]: Extracting #1: cost 3 inf + 0 5.234 * * [simplify]: Extracting #2: cost 6 inf + 0 5.234 * * [simplify]: Extracting #3: cost 10 inf + 0 5.234 * * [simplify]: Extracting #4: cost 6 inf + 84 5.234 * * [simplify]: Extracting #5: cost 0 inf + 854 5.235 * [simplify]: Simplified to (sqrt (/ (cos th) (sqrt 2))) 5.235 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 5.235 * * * * [progress]: [ 104 / 184 ] simplifiying candidate # 5.235 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 5.235 * * [simplify]: iters left: 6 (9 enodes) 5.240 * * [simplify]: iters left: 5 (33 enodes) 5.246 * * [simplify]: iters left: 4 (48 enodes) 5.253 * * [simplify]: iters left: 3 (55 enodes) 5.261 * * [simplify]: iters left: 2 (58 enodes) 5.273 * * [simplify]: Extracting #0: cost 1 inf + 0 5.274 * * [simplify]: Extracting #1: cost 11 inf + 0 5.274 * * [simplify]: Extracting #2: cost 22 inf + 0 5.274 * * [simplify]: Extracting #3: cost 26 inf + 0 5.274 * * [simplify]: Extracting #4: cost 22 inf + 104 5.274 * * [simplify]: Extracting #5: cost 7 inf + 3466 5.275 * * [simplify]: Extracting #6: cost 0 inf + 5358 5.275 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 5.276 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 5.276 * * * * [progress]: [ 105 / 184 ] simplifiying candidate # 5.276 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 5.276 * * [simplify]: iters left: 6 (9 enodes) 5.278 * * [simplify]: iters left: 5 (30 enodes) 5.283 * * [simplify]: iters left: 4 (34 enodes) 5.288 * * [simplify]: iters left: 3 (37 enodes) 5.293 * * [simplify]: Extracting #0: cost 1 inf + 0 5.293 * * [simplify]: Extracting #1: cost 7 inf + 0 5.293 * * [simplify]: Extracting #2: cost 15 inf + 0 5.293 * * [simplify]: Extracting #3: cost 20 inf + 0 5.293 * * [simplify]: Extracting #4: cost 14 inf + 386 5.293 * * [simplify]: Extracting #5: cost 4 inf + 2139 5.294 * * [simplify]: Extracting #6: cost 0 inf + 3306 5.294 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 5.294 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 5.294 * * * * [progress]: [ 106 / 184 ] simplifiying candidate # 5.294 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 5.295 * * [simplify]: iters left: 6 (8 enodes) 5.297 * * [simplify]: iters left: 5 (26 enodes) 5.304 * * [simplify]: iters left: 4 (30 enodes) 5.313 * * [simplify]: iters left: 3 (33 enodes) 5.322 * * [simplify]: Extracting #0: cost 1 inf + 0 5.322 * * [simplify]: Extracting #1: cost 7 inf + 0 5.322 * * [simplify]: Extracting #2: cost 14 inf + 0 5.322 * * [simplify]: Extracting #3: cost 18 inf + 0 5.322 * * [simplify]: Extracting #4: cost 15 inf + 43 5.323 * * [simplify]: Extracting #5: cost 11 inf + 307 5.323 * * [simplify]: Extracting #6: cost 2 inf + 2181 5.324 * * [simplify]: Extracting #7: cost 0 inf + 2664 5.325 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 5.325 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 5.325 * * * * [progress]: [ 107 / 184 ] simplifiying candidate # 5.325 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 5.325 * * [simplify]: iters left: 6 (7 enodes) 5.327 * * [simplify]: iters left: 5 (25 enodes) 5.332 * * [simplify]: iters left: 4 (31 enodes) 5.336 * * [simplify]: iters left: 3 (35 enodes) 5.341 * * [simplify]: iters left: 2 (36 enodes) 5.345 * * [simplify]: Extracting #0: cost 1 inf + 0 5.345 * * [simplify]: Extracting #1: cost 5 inf + 0 5.345 * * [simplify]: Extracting #2: cost 7 inf + 1 5.345 * * [simplify]: Extracting #3: cost 9 inf + 1 5.345 * * [simplify]: Extracting #4: cost 8 inf + 2 5.345 * * [simplify]: Extracting #5: cost 1 inf + 951 5.345 * * [simplify]: Extracting #6: cost 0 inf + 1132 5.346 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 5.346 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 5.346 * * * * [progress]: [ 108 / 184 ] simplifiying candidate # 5.346 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 5.346 * * [simplify]: iters left: 6 (8 enodes) 5.348 * * [simplify]: iters left: 5 (26 enodes) 5.354 * * [simplify]: iters left: 4 (30 enodes) 5.364 * * [simplify]: iters left: 3 (33 enodes) 5.373 * * [simplify]: Extracting #0: cost 1 inf + 0 5.373 * * [simplify]: Extracting #1: cost 7 inf + 0 5.373 * * [simplify]: Extracting #2: cost 14 inf + 0 5.373 * * [simplify]: Extracting #3: cost 18 inf + 0 5.373 * * [simplify]: Extracting #4: cost 15 inf + 43 5.373 * * [simplify]: Extracting #5: cost 11 inf + 307 5.374 * * [simplify]: Extracting #6: cost 2 inf + 2181 5.375 * * [simplify]: Extracting #7: cost 0 inf + 2664 5.375 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 5.375 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 5.375 * * * * [progress]: [ 109 / 184 ] simplifiying candidate # 5.376 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 5.376 * * [simplify]: iters left: 6 (6 enodes) 5.379 * * [simplify]: iters left: 5 (20 enodes) 5.386 * * [simplify]: iters left: 4 (30 enodes) 5.394 * * [simplify]: iters left: 3 (31 enodes) 5.400 * * [simplify]: Extracting #0: cost 1 inf + 0 5.400 * * [simplify]: Extracting #1: cost 5 inf + 0 5.400 * * [simplify]: Extracting #2: cost 7 inf + 1 5.400 * * [simplify]: Extracting #3: cost 9 inf + 1 5.400 * * [simplify]: Extracting #4: cost 8 inf + 2 5.400 * * [simplify]: Extracting #5: cost 0 inf + 1132 5.400 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 5.400 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 5.400 * * * * [progress]: [ 110 / 184 ] simplifiying candidate # 5.401 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 5.401 * * [simplify]: iters left: 6 (8 enodes) 5.403 * * [simplify]: iters left: 5 (26 enodes) 5.407 * * [simplify]: iters left: 4 (28 enodes) 5.411 * * [simplify]: Extracting #0: cost 1 inf + 0 5.411 * * [simplify]: Extracting #1: cost 6 inf + 0 5.411 * * [simplify]: Extracting #2: cost 12 inf + 0 5.411 * * [simplify]: Extracting #3: cost 16 inf + 0 5.411 * * [simplify]: Extracting #4: cost 14 inf + 2 5.411 * * [simplify]: Extracting #5: cost 10 inf + 266 5.411 * * [simplify]: Extracting #6: cost 1 inf + 1798 5.412 * * [simplify]: Extracting #7: cost 0 inf + 2100 5.412 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 5.412 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 5.412 * * * * [progress]: [ 111 / 184 ] simplifiying candidate # 5.412 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 5.412 * * [simplify]: iters left: 6 (8 enodes) 5.415 * * [simplify]: iters left: 5 (25 enodes) 5.418 * * [simplify]: Extracting #0: cost 1 inf + 0 5.419 * * [simplify]: Extracting #1: cost 4 inf + 0 5.419 * * [simplify]: Extracting #2: cost 9 inf + 0 5.419 * * [simplify]: Extracting #3: cost 14 inf + 0 5.419 * * [simplify]: Extracting #4: cost 12 inf + 2 5.419 * * [simplify]: Extracting #5: cost 6 inf + 528 5.419 * * [simplify]: Extracting #6: cost 1 inf + 1234 5.419 * * [simplify]: Extracting #7: cost 0 inf + 1496 5.419 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 5.419 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 5.419 * * * * [progress]: [ 112 / 184 ] simplifiying candidate # 5.420 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 5.420 * * [simplify]: iters left: 4 (7 enodes) 5.422 * * [simplify]: iters left: 3 (21 enodes) 5.425 * * [simplify]: Extracting #0: cost 1 inf + 0 5.425 * * [simplify]: Extracting #1: cost 4 inf + 0 5.425 * * [simplify]: Extracting #2: cost 8 inf + 0 5.425 * * [simplify]: Extracting #3: cost 12 inf + 0 5.425 * * [simplify]: Extracting #4: cost 10 inf + 2 5.425 * * [simplify]: Extracting #5: cost 4 inf + 368 5.425 * * [simplify]: Extracting #6: cost 1 inf + 792 5.425 * * [simplify]: Extracting #7: cost 0 inf + 1014 5.425 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 5.425 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 5.425 * * * * [progress]: [ 113 / 184 ] simplifiying candidate # 5.426 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 5.426 * * [simplify]: iters left: 4 (6 enodes) 5.433 * * [simplify]: iters left: 3 (20 enodes) 5.439 * * [simplify]: iters left: 2 (22 enodes) 5.443 * * [simplify]: iters left: 1 (24 enodes) 5.446 * * [simplify]: Extracting #0: cost 1 inf + 0 5.446 * * [simplify]: Extracting #1: cost 4 inf + 0 5.446 * * [simplify]: Extracting #2: cost 5 inf + 1 5.446 * * [simplify]: Extracting #3: cost 4 inf + 2 5.446 * * [simplify]: Extracting #4: cost 0 inf + 326 5.446 * [simplify]: Simplified to (sqrt (cos th)) 5.446 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 5.446 * * * * [progress]: [ 114 / 184 ] simplifiying candidate # 5.447 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 5.447 * * [simplify]: iters left: 4 (7 enodes) 5.448 * * [simplify]: iters left: 3 (21 enodes) 5.452 * * [simplify]: Extracting #0: cost 1 inf + 0 5.452 * * [simplify]: Extracting #1: cost 4 inf + 0 5.452 * * [simplify]: Extracting #2: cost 8 inf + 0 5.452 * * [simplify]: Extracting #3: cost 12 inf + 0 5.452 * * [simplify]: Extracting #4: cost 10 inf + 2 5.452 * * [simplify]: Extracting #5: cost 4 inf + 368 5.452 * * [simplify]: Extracting #6: cost 1 inf + 792 5.452 * * [simplify]: Extracting #7: cost 0 inf + 1014 5.452 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 5.452 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 5.452 * * * * [progress]: [ 115 / 184 ] simplifiying candidate # 5.453 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 5.453 * * [simplify]: iters left: 4 (5 enodes) 5.454 * * [simplify]: iters left: 3 (15 enodes) 5.457 * * [simplify]: iters left: 2 (17 enodes) 5.459 * * [simplify]: Extracting #0: cost 1 inf + 0 5.459 * * [simplify]: Extracting #1: cost 4 inf + 0 5.459 * * [simplify]: Extracting #2: cost 5 inf + 1 5.459 * * [simplify]: Extracting #3: cost 4 inf + 2 5.459 * * [simplify]: Extracting #4: cost 1 inf + 225 5.459 * * [simplify]: Extracting #5: cost 0 inf + 326 5.459 * [simplify]: Simplified to (sqrt (cos th)) 5.459 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 5.460 * * * * [progress]: [ 116 / 184 ] simplifiying candidate # 5.460 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 5.460 * * [simplify]: iters left: 6 (6 enodes) 5.462 * * [simplify]: iters left: 5 (22 enodes) 5.466 * * [simplify]: iters left: 4 (26 enodes) 5.470 * * [simplify]: Extracting #0: cost 1 inf + 0 5.470 * * [simplify]: Extracting #1: cost 6 inf + 0 5.470 * * [simplify]: Extracting #2: cost 9 inf + 1 5.470 * * [simplify]: Extracting #3: cost 11 inf + 1 5.470 * * [simplify]: Extracting #4: cost 8 inf + 84 5.470 * * [simplify]: Extracting #5: cost 2 inf + 1013 5.471 * * [simplify]: Extracting #6: cost 0 inf + 1376 5.471 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 5.471 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))))) 5.471 * * * * [progress]: [ 117 / 184 ] simplifiying candidate # 5.472 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 5.472 * * [simplify]: iters left: 6 (6 enodes) 5.475 * * [simplify]: iters left: 5 (21 enodes) 5.482 * * [simplify]: iters left: 4 (23 enodes) 5.489 * * [simplify]: Extracting #0: cost 1 inf + 0 5.489 * * [simplify]: Extracting #1: cost 4 inf + 0 5.489 * * [simplify]: Extracting #2: cost 6 inf + 1 5.489 * * [simplify]: Extracting #3: cost 9 inf + 1 5.490 * * [simplify]: Extracting #4: cost 8 inf + 2 5.490 * * [simplify]: Extracting #5: cost 1 inf + 810 5.490 * * [simplify]: Extracting #6: cost 0 inf + 972 5.490 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 5.490 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (fabs (cbrt 2))) (* (/ (cos th) (sqrt (cbrt 2))) (* a2 a2))))) 5.490 * * * * [progress]: [ 118 / 184 ] simplifiying candidate # 5.491 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 5.491 * * [simplify]: iters left: 4 (5 enodes) 5.494 * * [simplify]: iters left: 3 (17 enodes) 5.500 * * [simplify]: iters left: 2 (19 enodes) 5.504 * * [simplify]: Extracting #0: cost 1 inf + 0 5.504 * * [simplify]: Extracting #1: cost 4 inf + 0 5.504 * * [simplify]: Extracting #2: cost 5 inf + 1 5.504 * * [simplify]: Extracting #3: cost 7 inf + 1 5.504 * * [simplify]: Extracting #4: cost 0 inf + 490 5.504 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 5.504 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 5.504 * * * * [progress]: [ 119 / 184 ] simplifiying candidate # 5.504 * [simplify]: Simplifying (/ 1 (sqrt 1)) 5.504 * * [simplify]: iters left: 3 (3 enodes) 5.508 * * [simplify]: iters left: 2 (11 enodes) 5.510 * * [simplify]: iters left: 1 (13 enodes) 5.511 * * [simplify]: Extracting #0: cost 1 inf + 0 5.511 * * [simplify]: Extracting #1: cost 0 inf + 1 5.511 * [simplify]: Simplified to 1 5.511 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 5.512 * * * * [progress]: [ 120 / 184 ] simplifiying candidate # 5.512 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 5.512 * * [simplify]: iters left: 4 (5 enodes) 5.513 * * [simplify]: iters left: 3 (17 enodes) 5.516 * * [simplify]: iters left: 2 (19 enodes) 5.520 * * [simplify]: Extracting #0: cost 1 inf + 0 5.520 * * [simplify]: Extracting #1: cost 4 inf + 0 5.520 * * [simplify]: Extracting #2: cost 5 inf + 1 5.520 * * [simplify]: Extracting #3: cost 7 inf + 1 5.520 * * [simplify]: Extracting #4: cost 0 inf + 490 5.520 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 5.520 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 5.520 * * * * [progress]: [ 121 / 184 ] simplifiying candidate # 5.520 * [simplify]: Simplifying (/ 1 1) 5.520 * * [simplify]: iters left: 2 (2 enodes) 5.521 * * [simplify]: iters left: 1 (6 enodes) 5.522 * * [simplify]: Extracting #0: cost 1 inf + 0 5.522 * * [simplify]: Extracting #1: cost 0 inf + 1 5.522 * [simplify]: Simplified to 1 5.522 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 5.522 * * * * [progress]: [ 122 / 184 ] simplifiying candidate # 5.522 * * * * [progress]: [ 123 / 184 ] simplifiying candidate # 5.523 * [simplify]: Simplifying (cos th) 5.523 * * [simplify]: iters left: 1 (2 enodes) 5.523 * * [simplify]: Extracting #0: cost 1 inf + 0 5.523 * * [simplify]: Extracting #1: cost 3 inf + 0 5.523 * * [simplify]: Extracting #2: cost 2 inf + 1 5.523 * * [simplify]: Extracting #3: cost 0 inf + 123 5.523 * [simplify]: Simplified to (cos th) 5.523 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2))))) 5.523 * * * * [progress]: [ 124 / 184 ] simplifiying candidate # 5.523 * [simplify]: Simplifying (* (cos th) (* a2 a2)) 5.523 * * [simplify]: iters left: 4 (5 enodes) 5.524 * * [simplify]: iters left: 3 (18 enodes) 5.527 * * [simplify]: iters left: 2 (22 enodes) 5.530 * * [simplify]: Extracting #0: cost 1 inf + 0 5.530 * * [simplify]: Extracting #1: cost 6 inf + 0 5.530 * * [simplify]: Extracting #2: cost 8 inf + 42 5.530 * * [simplify]: Extracting #3: cost 6 inf + 84 5.530 * * [simplify]: Extracting #4: cost 0 inf + 694 5.530 * [simplify]: Simplified to (* (* a2 a2) (cos th)) 5.530 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2)))) 5.531 * * * * [progress]: [ 125 / 184 ] simplifiying candidate #real (real->posit16 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))> 5.531 * * * * [progress]: [ 126 / 184 ] simplifiying candidate # 5.531 * * * * [progress]: [ 127 / 184 ] simplifiying candidate # 5.531 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) 5.531 * * [simplify]: iters left: 5 (8 enodes) 5.538 * * [simplify]: iters left: 4 (29 enodes) 5.547 * * [simplify]: iters left: 3 (42 enodes) 5.561 * * [simplify]: iters left: 2 (54 enodes) 5.576 * * [simplify]: iters left: 1 (61 enodes) 5.592 * * [simplify]: Extracting #0: cost 1 inf + 0 5.592 * * [simplify]: Extracting #1: cost 16 inf + 0 5.592 * * [simplify]: Extracting #2: cost 28 inf + 1 5.593 * * [simplify]: Extracting #3: cost 19 inf + 473 5.593 * * [simplify]: Extracting #4: cost 4 inf + 2525 5.595 * * [simplify]: Extracting #5: cost 0 inf + 3135 5.596 * [simplify]: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) 5.596 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 5.596 * * * * [progress]: [ 128 / 184 ] simplifiying candidate # 5.596 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) 5.596 * * [simplify]: iters left: 5 (8 enodes) 5.601 * * [simplify]: iters left: 4 (29 enodes) 5.610 * * [simplify]: iters left: 3 (42 enodes) 5.624 * * [simplify]: iters left: 2 (54 enodes) 5.636 * * [simplify]: iters left: 1 (61 enodes) 5.644 * * [simplify]: Extracting #0: cost 1 inf + 0 5.644 * * [simplify]: Extracting #1: cost 16 inf + 0 5.644 * * [simplify]: Extracting #2: cost 28 inf + 1 5.645 * * [simplify]: Extracting #3: cost 19 inf + 473 5.645 * * [simplify]: Extracting #4: cost 4 inf + 2525 5.646 * * [simplify]: Extracting #5: cost 0 inf + 3135 5.646 * [simplify]: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) 5.646 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 5.646 * * * * [progress]: [ 129 / 184 ] simplifiying candidate # 5.646 * * * * [progress]: [ 130 / 184 ] simplifiying candidate # 5.646 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (+ (log a1) (log a1))) 5.647 * * [simplify]: iters left: 6 (11 enodes) 5.649 * * [simplify]: iters left: 5 (40 enodes) 5.656 * * [simplify]: iters left: 4 (63 enodes) 5.673 * * [simplify]: iters left: 3 (102 enodes) 5.707 * * [simplify]: iters left: 2 (144 enodes) 5.746 * * [simplify]: iters left: 1 (166 enodes) 5.773 * * [simplify]: Extracting #0: cost 1 inf + 0 5.773 * * [simplify]: Extracting #1: cost 29 inf + 0 5.773 * * [simplify]: Extracting #2: cost 53 inf + 0 5.773 * * [simplify]: Extracting #3: cost 53 inf + 254 5.774 * * [simplify]: Extracting #4: cost 35 inf + 2686 5.777 * * [simplify]: Extracting #5: cost 8 inf + 10161 5.781 * * [simplify]: Extracting #6: cost 0 inf + 13132 5.786 * [simplify]: Simplified to (- (log (cos th)) (- (log (sqrt 2)) (+ (log a1) (log a1)))) 5.786 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (cos th)) (- (log (sqrt 2)) (+ (log a1) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 5.786 * * * * [progress]: [ 131 / 184 ] simplifiying candidate # 5.786 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) 5.786 * * [simplify]: iters left: 6 (11 enodes) 5.789 * * [simplify]: iters left: 5 (40 enodes) 5.795 * * [simplify]: iters left: 4 (62 enodes) 5.805 * * [simplify]: iters left: 3 (104 enodes) 5.828 * * [simplify]: iters left: 2 (142 enodes) 5.867 * * [simplify]: iters left: 1 (168 enodes) 5.921 * * [simplify]: Extracting #0: cost 1 inf + 0 5.922 * * [simplify]: Extracting #1: cost 29 inf + 0 5.922 * * [simplify]: Extracting #2: cost 54 inf + 0 5.922 * * [simplify]: Extracting #3: cost 56 inf + 153 5.922 * * [simplify]: Extracting #4: cost 36 inf + 2657 5.924 * * [simplify]: Extracting #5: cost 9 inf + 10001 5.926 * * [simplify]: Extracting #6: cost 0 inf + 13214 5.928 * [simplify]: Simplified to (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (sqrt 2)))) 5.928 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 5.928 * * * * [progress]: [ 132 / 184 ] simplifiying candidate # 5.928 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1))) 5.928 * * [simplify]: iters left: 6 (10 enodes) 5.931 * * [simplify]: iters left: 5 (36 enodes) 5.936 * * [simplify]: iters left: 4 (52 enodes) 5.945 * * [simplify]: iters left: 3 (81 enodes) 5.966 * * [simplify]: iters left: 2 (127 enodes) 5.989 * * [simplify]: iters left: 1 (153 enodes) 6.027 * * [simplify]: Extracting #0: cost 1 inf + 0 6.027 * * [simplify]: Extracting #1: cost 21 inf + 0 6.027 * * [simplify]: Extracting #2: cost 41 inf + 0 6.028 * * [simplify]: Extracting #3: cost 40 inf + 556 6.028 * * [simplify]: Extracting #4: cost 33 inf + 993 6.028 * * [simplify]: Extracting #5: cost 18 inf + 4050 6.030 * * [simplify]: Extracting #6: cost 1 inf + 8354 6.031 * * [simplify]: Extracting #7: cost 0 inf + 8546 6.033 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1))) 6.033 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 6.033 * * * * [progress]: [ 133 / 184 ] simplifiying candidate # 6.033 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) 6.033 * * [simplify]: iters left: 6 (10 enodes) 6.036 * * [simplify]: iters left: 5 (36 enodes) 6.042 * * [simplify]: iters left: 4 (52 enodes) 6.050 * * [simplify]: iters left: 3 (81 enodes) 6.065 * * [simplify]: iters left: 2 (117 enodes) 6.095 * * [simplify]: iters left: 1 (150 enodes) 6.124 * * [simplify]: Extracting #0: cost 1 inf + 0 6.124 * * [simplify]: Extracting #1: cost 22 inf + 0 6.124 * * [simplify]: Extracting #2: cost 42 inf + 0 6.124 * * [simplify]: Extracting #3: cost 41 inf + 517 6.125 * * [simplify]: Extracting #4: cost 25 inf + 2678 6.126 * * [simplify]: Extracting #5: cost 6 inf + 6895 6.128 * * [simplify]: Extracting #6: cost 0 inf + 8628 6.129 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) 6.129 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 6.129 * * * * [progress]: [ 134 / 184 ] simplifiying candidate # 6.130 * * * * [progress]: [ 135 / 184 ] simplifiying candidate # 6.130 * * * * [progress]: [ 136 / 184 ] simplifiying candidate # 6.130 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) 6.130 * * [simplify]: iters left: 6 (14 enodes) 6.138 * * [simplify]: iters left: 5 (61 enodes) 6.161 * * [simplify]: iters left: 4 (181 enodes) 6.258 * * [simplify]: Extracting #0: cost 1 inf + 0 6.258 * * [simplify]: Extracting #1: cost 76 inf + 0 6.260 * * [simplify]: Extracting #2: cost 235 inf + 124 6.264 * * [simplify]: Extracting #3: cost 165 inf + 14368 6.283 * * [simplify]: Extracting #4: cost 20 inf + 49845 6.307 * * [simplify]: Extracting #5: cost 0 inf + 55540 6.330 * * [simplify]: Extracting #6: cost 0 inf + 55500 6.354 * [simplify]: Simplified to (/ (* (* (* a1 (* a1 a1)) (cos th)) (* (* a1 (* a1 a1)) (cos th))) (* (/ (sqrt 2) (cos th)) 2)) 6.354 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 (* a1 a1)) (cos th)) (* (* a1 (* a1 a1)) (cos th))) (* (/ (sqrt 2) (cos th)) 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 6.354 * * * * [progress]: [ 137 / 184 ] simplifiying candidate # 6.355 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) 6.355 * * [simplify]: iters left: 6 (14 enodes) 6.365 * * [simplify]: iters left: 5 (62 enodes) 6.377 * * [simplify]: iters left: 4 (174 enodes) 6.498 * * [simplify]: Extracting #0: cost 1 inf + 0 6.498 * * [simplify]: Extracting #1: cost 74 inf + 0 6.499 * * [simplify]: Extracting #2: cost 223 inf + 978 6.503 * * [simplify]: Extracting #3: cost 117 inf + 23061 6.514 * * [simplify]: Extracting #4: cost 7 inf + 51587 6.525 * * [simplify]: Extracting #5: cost 0 inf + 53337 6.547 * * [simplify]: Extracting #6: cost 0 inf + 53297 6.573 * [simplify]: Simplified to (* (/ (cos th) 2) (/ (* (* (* a1 (* a1 a1)) (cos th)) (* (* a1 (* a1 a1)) (cos th))) (sqrt 2))) 6.573 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (cos th) 2) (/ (* (* (* a1 (* a1 a1)) (cos th)) (* (* a1 (* a1 a1)) (cos th))) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 6.573 * * * * [progress]: [ 138 / 184 ] simplifiying candidate # 6.574 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) 6.574 * * [simplify]: iters left: 6 (12 enodes) 6.581 * * [simplify]: iters left: 5 (55 enodes) 6.599 * * [simplify]: iters left: 4 (146 enodes) 6.648 * * [simplify]: iters left: 3 (466 enodes) 7.112 * * [simplify]: Extracting #0: cost 1 inf + 0 7.113 * * [simplify]: Extracting #1: cost 112 inf + 0 7.116 * * [simplify]: Extracting #2: cost 333 inf + 165 7.125 * * [simplify]: Extracting #3: cost 235 inf + 23822 7.159 * * [simplify]: Extracting #4: cost 37 inf + 81592 7.182 * * [simplify]: Extracting #5: cost 0 inf + 95859 7.225 * [simplify]: Simplified to (* (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))))) 7.225 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* a1 (* a1 a1)) (* a1 (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.226 * * * * [progress]: [ 139 / 184 ] simplifiying candidate # 7.226 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) 7.226 * * [simplify]: iters left: 6 (12 enodes) 7.233 * * [simplify]: iters left: 5 (56 enodes) 7.245 * * [simplify]: iters left: 4 (149 enodes) 7.290 * * [simplify]: iters left: 3 (484 enodes) 7.683 * * [simplify]: Extracting #0: cost 1 inf + 0 7.683 * * [simplify]: Extracting #1: cost 116 inf + 0 7.685 * * [simplify]: Extracting #2: cost 379 inf + 167 7.691 * * [simplify]: Extracting #3: cost 262 inf + 31859 7.711 * * [simplify]: Extracting #4: cost 24 inf + 104764 7.740 * * [simplify]: Extracting #5: cost 0 inf + 112531 7.772 * [simplify]: Simplified to (* (* (/ (cos th) (/ (sqrt 2) (* a1 a1))) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) 7.772 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ (cos th) (/ (sqrt 2) (* a1 a1))) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) (/ (cos th) (/ (sqrt 2) (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.773 * * * * [progress]: [ 140 / 184 ] simplifiying candidate # 7.773 * * * * [progress]: [ 141 / 184 ] simplifiying candidate # 7.773 * * * * [progress]: [ 142 / 184 ] simplifiying candidate # 7.773 * * * * [progress]: [ 143 / 184 ] simplifiying candidate # 7.773 * * * * [progress]: [ 144 / 184 ] simplifiying candidate # 7.773 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a1) 7.773 * * [simplify]: iters left: 6 (8 enodes) 7.778 * * [simplify]: iters left: 5 (25 enodes) 7.786 * * [simplify]: Extracting #0: cost 1 inf + 0 7.786 * * [simplify]: Extracting #1: cost 4 inf + 0 7.786 * * [simplify]: Extracting #2: cost 5 inf + 1 7.786 * * [simplify]: Extracting #3: cost 8 inf + 1 7.786 * * [simplify]: Extracting #4: cost 12 inf + 1 7.786 * * [simplify]: Extracting #5: cost 9 inf + 44 7.786 * * [simplify]: Extracting #6: cost 7 inf + 146 7.786 * * [simplify]: Extracting #7: cost 2 inf + 896 7.787 * * [simplify]: Extracting #8: cost 0 inf + 1301 7.787 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a1) 7.787 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) a1) (* (sqrt (/ (cos th) (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.788 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a1) 7.788 * * [simplify]: iters left: 6 (8 enodes) 7.792 * * [simplify]: iters left: 5 (25 enodes) 7.800 * * [simplify]: Extracting #0: cost 1 inf + 0 7.800 * * [simplify]: Extracting #1: cost 4 inf + 0 7.800 * * [simplify]: Extracting #2: cost 5 inf + 1 7.801 * * [simplify]: Extracting #3: cost 8 inf + 1 7.801 * * [simplify]: Extracting #4: cost 12 inf + 1 7.801 * * [simplify]: Extracting #5: cost 9 inf + 44 7.801 * * [simplify]: Extracting #6: cost 7 inf + 146 7.801 * * [simplify]: Extracting #7: cost 2 inf + 896 7.801 * * [simplify]: Extracting #8: cost 0 inf + 1301 7.802 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a1) 7.802 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) a1) (* (sqrt (/ (cos th) (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.802 * * * * [progress]: [ 145 / 184 ] simplifiying candidate # 7.802 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) 7.802 * * [simplify]: iters left: 6 (9 enodes) 7.804 * * [simplify]: iters left: 5 (30 enodes) 7.809 * * [simplify]: iters left: 4 (36 enodes) 7.814 * * [simplify]: iters left: 3 (38 enodes) 7.819 * * [simplify]: Extracting #0: cost 1 inf + 0 7.819 * * [simplify]: Extracting #1: cost 8 inf + 0 7.819 * * [simplify]: Extracting #2: cost 14 inf + 1 7.819 * * [simplify]: Extracting #3: cost 18 inf + 1 7.819 * * [simplify]: Extracting #4: cost 14 inf + 125 7.820 * * [simplify]: Extracting #5: cost 8 inf + 713 7.820 * * [simplify]: Extracting #6: cost 1 inf + 1847 7.820 * * [simplify]: Extracting #7: cost 0 inf + 2069 7.821 * [simplify]: Simplified to (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) 7.821 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.821 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) 7.821 * * [simplify]: iters left: 6 (9 enodes) 7.823 * * [simplify]: iters left: 5 (30 enodes) 7.828 * * [simplify]: iters left: 4 (36 enodes) 7.833 * * [simplify]: iters left: 3 (38 enodes) 7.838 * * [simplify]: Extracting #0: cost 1 inf + 0 7.838 * * [simplify]: Extracting #1: cost 8 inf + 0 7.838 * * [simplify]: Extracting #2: cost 14 inf + 1 7.838 * * [simplify]: Extracting #3: cost 18 inf + 1 7.838 * * [simplify]: Extracting #4: cost 14 inf + 125 7.838 * * [simplify]: Extracting #5: cost 8 inf + 713 7.838 * * [simplify]: Extracting #6: cost 1 inf + 1847 7.839 * * [simplify]: Extracting #7: cost 0 inf + 2069 7.839 * [simplify]: Simplified to (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) 7.839 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.839 * * * * [progress]: [ 146 / 184 ] simplifiying candidate # 7.839 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) 7.839 * * [simplify]: iters left: 6 (9 enodes) 7.842 * * [simplify]: iters left: 5 (30 enodes) 7.851 * * [simplify]: iters left: 4 (36 enodes) 7.861 * * [simplify]: iters left: 3 (38 enodes) 7.875 * * [simplify]: Extracting #0: cost 1 inf + 0 7.875 * * [simplify]: Extracting #1: cost 8 inf + 0 7.875 * * [simplify]: Extracting #2: cost 14 inf + 1 7.875 * * [simplify]: Extracting #3: cost 18 inf + 1 7.875 * * [simplify]: Extracting #4: cost 14 inf + 125 7.875 * * [simplify]: Extracting #5: cost 8 inf + 713 7.876 * * [simplify]: Extracting #6: cost 1 inf + 1847 7.877 * * [simplify]: Extracting #7: cost 0 inf + 2069 7.877 * [simplify]: Simplified to (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) 7.877 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.878 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) 7.878 * * [simplify]: iters left: 6 (9 enodes) 7.883 * * [simplify]: iters left: 5 (30 enodes) 7.891 * * [simplify]: iters left: 4 (36 enodes) 7.901 * * [simplify]: iters left: 3 (38 enodes) 7.912 * * [simplify]: Extracting #0: cost 1 inf + 0 7.912 * * [simplify]: Extracting #1: cost 8 inf + 0 7.912 * * [simplify]: Extracting #2: cost 14 inf + 1 7.912 * * [simplify]: Extracting #3: cost 18 inf + 1 7.913 * * [simplify]: Extracting #4: cost 14 inf + 125 7.913 * * [simplify]: Extracting #5: cost 8 inf + 713 7.913 * * [simplify]: Extracting #6: cost 1 inf + 1847 7.914 * * [simplify]: Extracting #7: cost 0 inf + 2069 7.915 * [simplify]: Simplified to (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2))) 7.915 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) (/ (* a1 (sqrt (cos th))) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.915 * * * * [progress]: [ 147 / 184 ] simplifiying candidate # 7.915 * * * * [progress]: [ 148 / 184 ] simplifiying candidate # 7.915 * [simplify]: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 7.915 * * [simplify]: iters left: 6 (7 enodes) 7.919 * * [simplify]: iters left: 5 (21 enodes) 7.925 * * [simplify]: Extracting #0: cost 1 inf + 0 7.926 * * [simplify]: Extracting #1: cost 3 inf + 0 7.926 * * [simplify]: Extracting #2: cost 5 inf + 0 7.926 * * [simplify]: Extracting #3: cost 8 inf + 0 7.926 * * [simplify]: Extracting #4: cost 12 inf + 0 7.926 * * [simplify]: Extracting #5: cost 10 inf + 2 7.926 * * [simplify]: Extracting #6: cost 1 inf + 1196 7.927 * * [simplify]: Extracting #7: cost 0 inf + 1458 7.927 * [simplify]: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 7.927 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.927 * * * * [progress]: [ 149 / 184 ] simplifiying candidate # 7.927 * [simplify]: Simplifying (sqrt (/ (cos th) (sqrt 2))) 7.928 * * [simplify]: iters left: 4 (6 enodes) 7.931 * * [simplify]: iters left: 3 (18 enodes) 7.936 * * [simplify]: Extracting #0: cost 1 inf + 0 7.936 * * [simplify]: Extracting #1: cost 3 inf + 0 7.936 * * [simplify]: Extracting #2: cost 6 inf + 0 7.936 * * [simplify]: Extracting #3: cost 10 inf + 0 7.936 * * [simplify]: Extracting #4: cost 6 inf + 84 7.937 * * [simplify]: Extracting #5: cost 0 inf + 854 7.937 * [simplify]: Simplified to (sqrt (/ (cos th) (sqrt 2))) 7.937 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.937 * * * * [progress]: [ 150 / 184 ] simplifiying candidate # 7.937 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 7.938 * * [simplify]: iters left: 6 (9 enodes) 7.942 * * [simplify]: iters left: 5 (33 enodes) 7.953 * * [simplify]: iters left: 4 (48 enodes) 7.963 * * [simplify]: iters left: 3 (55 enodes) 7.971 * * [simplify]: iters left: 2 (58 enodes) 7.979 * * [simplify]: Extracting #0: cost 1 inf + 0 7.979 * * [simplify]: Extracting #1: cost 11 inf + 0 7.979 * * [simplify]: Extracting #2: cost 22 inf + 0 7.979 * * [simplify]: Extracting #3: cost 26 inf + 0 7.979 * * [simplify]: Extracting #4: cost 22 inf + 104 7.979 * * [simplify]: Extracting #5: cost 7 inf + 3466 7.980 * * [simplify]: Extracting #6: cost 0 inf + 5358 7.981 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 7.981 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 7.981 * * * * [progress]: [ 151 / 184 ] simplifiying candidate # 7.981 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 7.981 * * [simplify]: iters left: 6 (9 enodes) 7.984 * * [simplify]: iters left: 5 (30 enodes) 7.988 * * [simplify]: iters left: 4 (34 enodes) 7.995 * * [simplify]: iters left: 3 (37 enodes) 8.000 * * [simplify]: Extracting #0: cost 1 inf + 0 8.000 * * [simplify]: Extracting #1: cost 7 inf + 0 8.000 * * [simplify]: Extracting #2: cost 15 inf + 0 8.000 * * [simplify]: Extracting #3: cost 20 inf + 0 8.000 * * [simplify]: Extracting #4: cost 14 inf + 386 8.000 * * [simplify]: Extracting #5: cost 4 inf + 2139 8.001 * * [simplify]: Extracting #6: cost 0 inf + 3306 8.001 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 8.001 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.001 * * * * [progress]: [ 152 / 184 ] simplifiying candidate # 8.001 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 8.002 * * [simplify]: iters left: 6 (8 enodes) 8.004 * * [simplify]: iters left: 5 (26 enodes) 8.010 * * [simplify]: iters left: 4 (30 enodes) 8.019 * * [simplify]: iters left: 3 (33 enodes) 8.025 * * [simplify]: Extracting #0: cost 1 inf + 0 8.025 * * [simplify]: Extracting #1: cost 7 inf + 0 8.026 * * [simplify]: Extracting #2: cost 14 inf + 0 8.026 * * [simplify]: Extracting #3: cost 18 inf + 0 8.026 * * [simplify]: Extracting #4: cost 15 inf + 43 8.026 * * [simplify]: Extracting #5: cost 11 inf + 307 8.026 * * [simplify]: Extracting #6: cost 2 inf + 2181 8.026 * * [simplify]: Extracting #7: cost 0 inf + 2664 8.027 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 8.027 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.027 * * * * [progress]: [ 153 / 184 ] simplifiying candidate # 8.027 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 8.027 * * [simplify]: iters left: 6 (7 enodes) 8.029 * * [simplify]: iters left: 5 (25 enodes) 8.033 * * [simplify]: iters left: 4 (31 enodes) 8.038 * * [simplify]: iters left: 3 (35 enodes) 8.042 * * [simplify]: iters left: 2 (36 enodes) 8.046 * * [simplify]: Extracting #0: cost 1 inf + 0 8.046 * * [simplify]: Extracting #1: cost 5 inf + 0 8.046 * * [simplify]: Extracting #2: cost 7 inf + 1 8.046 * * [simplify]: Extracting #3: cost 9 inf + 1 8.046 * * [simplify]: Extracting #4: cost 8 inf + 2 8.046 * * [simplify]: Extracting #5: cost 1 inf + 951 8.046 * * [simplify]: Extracting #6: cost 0 inf + 1132 8.047 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 8.047 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.047 * * * * [progress]: [ 154 / 184 ] simplifiying candidate # 8.047 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 8.047 * * [simplify]: iters left: 6 (8 enodes) 8.049 * * [simplify]: iters left: 5 (26 enodes) 8.056 * * [simplify]: iters left: 4 (30 enodes) 8.061 * * [simplify]: iters left: 3 (33 enodes) 8.066 * * [simplify]: Extracting #0: cost 1 inf + 0 8.066 * * [simplify]: Extracting #1: cost 7 inf + 0 8.066 * * [simplify]: Extracting #2: cost 14 inf + 0 8.066 * * [simplify]: Extracting #3: cost 18 inf + 0 8.066 * * [simplify]: Extracting #4: cost 15 inf + 43 8.066 * * [simplify]: Extracting #5: cost 11 inf + 307 8.067 * * [simplify]: Extracting #6: cost 2 inf + 2181 8.067 * * [simplify]: Extracting #7: cost 0 inf + 2664 8.067 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 8.067 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.067 * * * * [progress]: [ 155 / 184 ] simplifiying candidate # 8.068 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 8.068 * * [simplify]: iters left: 6 (6 enodes) 8.069 * * [simplify]: iters left: 5 (20 enodes) 8.073 * * [simplify]: iters left: 4 (30 enodes) 8.077 * * [simplify]: iters left: 3 (31 enodes) 8.082 * * [simplify]: Extracting #0: cost 1 inf + 0 8.082 * * [simplify]: Extracting #1: cost 5 inf + 0 8.082 * * [simplify]: Extracting #2: cost 7 inf + 1 8.082 * * [simplify]: Extracting #3: cost 9 inf + 1 8.083 * * [simplify]: Extracting #4: cost 8 inf + 2 8.083 * * [simplify]: Extracting #5: cost 0 inf + 1132 8.083 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 8.083 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.083 * * * * [progress]: [ 156 / 184 ] simplifiying candidate # 8.084 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 8.084 * * [simplify]: iters left: 6 (8 enodes) 8.088 * * [simplify]: iters left: 5 (26 enodes) 8.095 * * [simplify]: iters left: 4 (28 enodes) 8.104 * * [simplify]: Extracting #0: cost 1 inf + 0 8.104 * * [simplify]: Extracting #1: cost 6 inf + 0 8.104 * * [simplify]: Extracting #2: cost 12 inf + 0 8.104 * * [simplify]: Extracting #3: cost 16 inf + 0 8.104 * * [simplify]: Extracting #4: cost 14 inf + 2 8.104 * * [simplify]: Extracting #5: cost 10 inf + 266 8.104 * * [simplify]: Extracting #6: cost 1 inf + 1798 8.105 * * [simplify]: Extracting #7: cost 0 inf + 2100 8.105 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 8.106 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.106 * * * * [progress]: [ 157 / 184 ] simplifiying candidate # 8.106 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 8.106 * * [simplify]: iters left: 6 (8 enodes) 8.110 * * [simplify]: iters left: 5 (25 enodes) 8.116 * * [simplify]: Extracting #0: cost 1 inf + 0 8.116 * * [simplify]: Extracting #1: cost 4 inf + 0 8.116 * * [simplify]: Extracting #2: cost 9 inf + 0 8.116 * * [simplify]: Extracting #3: cost 14 inf + 0 8.116 * * [simplify]: Extracting #4: cost 12 inf + 2 8.116 * * [simplify]: Extracting #5: cost 6 inf + 528 8.116 * * [simplify]: Extracting #6: cost 1 inf + 1234 8.117 * * [simplify]: Extracting #7: cost 0 inf + 1496 8.117 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 8.117 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.117 * * * * [progress]: [ 158 / 184 ] simplifiying candidate # 8.117 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 8.117 * * [simplify]: iters left: 4 (7 enodes) 8.119 * * [simplify]: iters left: 3 (21 enodes) 8.123 * * [simplify]: Extracting #0: cost 1 inf + 0 8.123 * * [simplify]: Extracting #1: cost 4 inf + 0 8.123 * * [simplify]: Extracting #2: cost 8 inf + 0 8.123 * * [simplify]: Extracting #3: cost 12 inf + 0 8.123 * * [simplify]: Extracting #4: cost 10 inf + 2 8.123 * * [simplify]: Extracting #5: cost 4 inf + 368 8.123 * * [simplify]: Extracting #6: cost 1 inf + 792 8.123 * * [simplify]: Extracting #7: cost 0 inf + 1014 8.123 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 8.123 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.124 * * * * [progress]: [ 159 / 184 ] simplifiying candidate # 8.124 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 8.124 * * [simplify]: iters left: 4 (6 enodes) 8.126 * * [simplify]: iters left: 3 (20 enodes) 8.129 * * [simplify]: iters left: 2 (22 enodes) 8.132 * * [simplify]: iters left: 1 (24 enodes) 8.135 * * [simplify]: Extracting #0: cost 1 inf + 0 8.135 * * [simplify]: Extracting #1: cost 4 inf + 0 8.135 * * [simplify]: Extracting #2: cost 5 inf + 1 8.135 * * [simplify]: Extracting #3: cost 4 inf + 2 8.135 * * [simplify]: Extracting #4: cost 0 inf + 326 8.135 * [simplify]: Simplified to (sqrt (cos th)) 8.135 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.135 * * * * [progress]: [ 160 / 184 ] simplifiying candidate # 8.136 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 8.136 * * [simplify]: iters left: 4 (7 enodes) 8.137 * * [simplify]: iters left: 3 (21 enodes) 8.141 * * [simplify]: Extracting #0: cost 1 inf + 0 8.141 * * [simplify]: Extracting #1: cost 4 inf + 0 8.141 * * [simplify]: Extracting #2: cost 8 inf + 0 8.141 * * [simplify]: Extracting #3: cost 12 inf + 0 8.141 * * [simplify]: Extracting #4: cost 10 inf + 2 8.141 * * [simplify]: Extracting #5: cost 4 inf + 368 8.141 * * [simplify]: Extracting #6: cost 1 inf + 792 8.141 * * [simplify]: Extracting #7: cost 0 inf + 1014 8.141 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 8.141 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.141 * * * * [progress]: [ 161 / 184 ] simplifiying candidate # 8.142 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 8.142 * * [simplify]: iters left: 4 (5 enodes) 8.144 * * [simplify]: iters left: 3 (15 enodes) 8.149 * * [simplify]: iters left: 2 (17 enodes) 8.153 * * [simplify]: Extracting #0: cost 1 inf + 0 8.154 * * [simplify]: Extracting #1: cost 4 inf + 0 8.154 * * [simplify]: Extracting #2: cost 5 inf + 1 8.154 * * [simplify]: Extracting #3: cost 4 inf + 2 8.154 * * [simplify]: Extracting #4: cost 1 inf + 225 8.154 * * [simplify]: Extracting #5: cost 0 inf + 326 8.154 * [simplify]: Simplified to (sqrt (cos th)) 8.154 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.154 * * * * [progress]: [ 162 / 184 ] simplifiying candidate # 8.155 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 8.155 * * [simplify]: iters left: 6 (6 enodes) 8.158 * * [simplify]: iters left: 5 (22 enodes) 8.165 * * [simplify]: iters left: 4 (26 enodes) 8.173 * * [simplify]: Extracting #0: cost 1 inf + 0 8.173 * * [simplify]: Extracting #1: cost 6 inf + 0 8.173 * * [simplify]: Extracting #2: cost 9 inf + 1 8.174 * * [simplify]: Extracting #3: cost 11 inf + 1 8.174 * * [simplify]: Extracting #4: cost 8 inf + 84 8.174 * * [simplify]: Extracting #5: cost 2 inf + 1013 8.174 * * [simplify]: Extracting #6: cost 0 inf + 1376 8.174 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 8.174 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.174 * * * * [progress]: [ 163 / 184 ] simplifiying candidate # 8.174 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 8.174 * * [simplify]: iters left: 6 (6 enodes) 8.176 * * [simplify]: iters left: 5 (21 enodes) 8.180 * * [simplify]: iters left: 4 (23 enodes) 8.183 * * [simplify]: Extracting #0: cost 1 inf + 0 8.183 * * [simplify]: Extracting #1: cost 4 inf + 0 8.183 * * [simplify]: Extracting #2: cost 6 inf + 1 8.183 * * [simplify]: Extracting #3: cost 9 inf + 1 8.183 * * [simplify]: Extracting #4: cost 8 inf + 2 8.184 * * [simplify]: Extracting #5: cost 1 inf + 810 8.184 * * [simplify]: Extracting #6: cost 0 inf + 972 8.184 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 8.184 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (fabs (cbrt 2))) (* (/ (cos th) (sqrt (cbrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.184 * * * * [progress]: [ 164 / 184 ] simplifiying candidate # 8.184 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 8.184 * * [simplify]: iters left: 4 (5 enodes) 8.186 * * [simplify]: iters left: 3 (17 enodes) 8.189 * * [simplify]: iters left: 2 (19 enodes) 8.193 * * [simplify]: Extracting #0: cost 1 inf + 0 8.193 * * [simplify]: Extracting #1: cost 4 inf + 0 8.194 * * [simplify]: Extracting #2: cost 5 inf + 1 8.194 * * [simplify]: Extracting #3: cost 7 inf + 1 8.194 * * [simplify]: Extracting #4: cost 0 inf + 490 8.194 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 8.194 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.194 * * * * [progress]: [ 165 / 184 ] simplifiying candidate # 8.194 * [simplify]: Simplifying (/ 1 (sqrt 1)) 8.194 * * [simplify]: iters left: 3 (3 enodes) 8.197 * * [simplify]: iters left: 2 (11 enodes) 8.199 * * [simplify]: iters left: 1 (13 enodes) 8.201 * * [simplify]: Extracting #0: cost 1 inf + 0 8.201 * * [simplify]: Extracting #1: cost 0 inf + 1 8.201 * [simplify]: Simplified to 1 8.201 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.201 * * * * [progress]: [ 166 / 184 ] simplifiying candidate # 8.201 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 8.201 * * [simplify]: iters left: 4 (5 enodes) 8.203 * * [simplify]: iters left: 3 (17 enodes) 8.206 * * [simplify]: iters left: 2 (19 enodes) 8.212 * * [simplify]: Extracting #0: cost 1 inf + 0 8.212 * * [simplify]: Extracting #1: cost 4 inf + 0 8.212 * * [simplify]: Extracting #2: cost 5 inf + 1 8.212 * * [simplify]: Extracting #3: cost 7 inf + 1 8.212 * * [simplify]: Extracting #4: cost 0 inf + 490 8.213 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 8.213 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.213 * * * * [progress]: [ 167 / 184 ] simplifiying candidate # 8.213 * [simplify]: Simplifying (/ 1 1) 8.213 * * [simplify]: iters left: 2 (2 enodes) 8.214 * * [simplify]: iters left: 1 (6 enodes) 8.216 * * [simplify]: Extracting #0: cost 1 inf + 0 8.216 * * [simplify]: Extracting #1: cost 0 inf + 1 8.216 * [simplify]: Simplified to 1 8.216 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.217 * * * * [progress]: [ 168 / 184 ] simplifiying candidate # 8.217 * * * * [progress]: [ 169 / 184 ] simplifiying candidate # 8.217 * [simplify]: Simplifying (cos th) 8.217 * * [simplify]: iters left: 1 (2 enodes) 8.218 * * [simplify]: Extracting #0: cost 1 inf + 0 8.218 * * [simplify]: Extracting #1: cost 3 inf + 0 8.218 * * [simplify]: Extracting #2: cost 2 inf + 1 8.218 * * [simplify]: Extracting #3: cost 0 inf + 123 8.218 * [simplify]: Simplified to (cos th) 8.218 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.218 * * * * [progress]: [ 170 / 184 ] simplifiying candidate # 8.218 * [simplify]: Simplifying (* (cos th) (* a1 a1)) 8.219 * * [simplify]: iters left: 4 (5 enodes) 8.221 * * [simplify]: iters left: 3 (18 enodes) 8.226 * * [simplify]: iters left: 2 (22 enodes) 8.230 * * [simplify]: Extracting #0: cost 1 inf + 0 8.230 * * [simplify]: Extracting #1: cost 6 inf + 0 8.230 * * [simplify]: Extracting #2: cost 8 inf + 42 8.231 * * [simplify]: Extracting #3: cost 6 inf + 84 8.231 * * [simplify]: Extracting #4: cost 0 inf + 694 8.231 * [simplify]: Simplified to (* (* a1 a1) (cos th)) 8.231 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.231 * * * * [progress]: [ 171 / 184 ] simplifiying candidate #real (real->posit16 (* (/ (cos th) (sqrt 2)) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 8.231 * * * * [progress]: [ 172 / 184 ] simplifiying candidate # 8.231 * * * * [progress]: [ 173 / 184 ] simplifiying candidate # 8.231 * [simplify]: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 8.231 * * [simplify]: iters left: 6 (16 enodes) 8.237 * * [simplify]: iters left: 5 (68 enodes) 8.249 * * [simplify]: iters left: 4 (109 enodes) 8.269 * * [simplify]: iters left: 3 (160 enodes) 8.295 * * [simplify]: iters left: 2 (241 enodes) 8.378 * * [simplify]: iters left: 1 (382 enodes) 8.496 * * [simplify]: Extracting #0: cost 1 inf + 0 8.496 * * [simplify]: Extracting #1: cost 16 inf + 0 8.497 * * [simplify]: Extracting #2: cost 88 inf + 0 8.497 * * [simplify]: Extracting #3: cost 130 inf + 90 8.499 * * [simplify]: Extracting #4: cost 80 inf + 4828 8.509 * * [simplify]: Extracting #5: cost 11 inf + 15932 8.516 * * [simplify]: Extracting #6: cost 0 inf + 18367 8.520 * * [simplify]: Extracting #7: cost 0 inf + 18287 8.525 * [simplify]: Simplified to (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) 8.525 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) (* a2 a2)))) 8.525 * * * * [progress]: [ 174 / 184 ] simplifiying candidate # 8.525 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 8.525 * * [simplify]: iters left: 3 (5 enodes) 8.527 * * [simplify]: iters left: 2 (15 enodes) 8.530 * * [simplify]: Extracting #0: cost 1 inf + 0 8.530 * * [simplify]: Extracting #1: cost 4 inf + 0 8.530 * * [simplify]: Extracting #2: cost 8 inf + 0 8.530 * * [simplify]: Extracting #3: cost 4 inf + 84 8.530 * * [simplify]: Extracting #4: cost 0 inf + 490 8.530 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 8.530 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.530 * * * * [progress]: [ 175 / 184 ] simplifiying candidate # 8.530 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 8.530 * * [simplify]: iters left: 3 (5 enodes) 8.532 * * [simplify]: iters left: 2 (15 enodes) 8.534 * * [simplify]: Extracting #0: cost 1 inf + 0 8.534 * * [simplify]: Extracting #1: cost 4 inf + 0 8.534 * * [simplify]: Extracting #2: cost 8 inf + 0 8.535 * * [simplify]: Extracting #3: cost 4 inf + 84 8.535 * * [simplify]: Extracting #4: cost 0 inf + 490 8.535 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 8.535 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.535 * * * * [progress]: [ 176 / 184 ] simplifiying candidate # 8.535 * [simplify]: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 8.535 * * [simplify]: iters left: 6 (16 enodes) 8.541 * * [simplify]: iters left: 5 (68 enodes) 8.564 * * [simplify]: iters left: 4 (109 enodes) 8.597 * * [simplify]: iters left: 3 (160 enodes) 8.645 * * [simplify]: iters left: 2 (241 enodes) 8.687 * * [simplify]: iters left: 1 (382 enodes) 8.800 * * [simplify]: Extracting #0: cost 1 inf + 0 8.800 * * [simplify]: Extracting #1: cost 16 inf + 0 8.800 * * [simplify]: Extracting #2: cost 88 inf + 0 8.801 * * [simplify]: Extracting #3: cost 130 inf + 90 8.802 * * [simplify]: Extracting #4: cost 80 inf + 4828 8.809 * * [simplify]: Extracting #5: cost 11 inf + 15932 8.819 * * [simplify]: Extracting #6: cost 0 inf + 18367 8.828 * * [simplify]: Extracting #7: cost 0 inf + 18287 8.837 * [simplify]: Simplified to (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) 8.837 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.838 * * * * [progress]: [ 177 / 184 ] simplifiying candidate # 8.838 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 8.838 * * [simplify]: iters left: 3 (5 enodes) 8.841 * * [simplify]: iters left: 2 (15 enodes) 8.846 * * [simplify]: Extracting #0: cost 1 inf + 0 8.846 * * [simplify]: Extracting #1: cost 4 inf + 0 8.846 * * [simplify]: Extracting #2: cost 8 inf + 0 8.846 * * [simplify]: Extracting #3: cost 4 inf + 84 8.846 * * [simplify]: Extracting #4: cost 0 inf + 490 8.846 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 8.846 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.846 * * * * [progress]: [ 178 / 184 ] simplifiying candidate # 8.846 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 8.846 * * [simplify]: iters left: 3 (5 enodes) 8.848 * * [simplify]: iters left: 2 (15 enodes) 8.850 * * [simplify]: Extracting #0: cost 1 inf + 0 8.850 * * [simplify]: Extracting #1: cost 4 inf + 0 8.850 * * [simplify]: Extracting #2: cost 8 inf + 0 8.851 * * [simplify]: Extracting #3: cost 4 inf + 84 8.851 * * [simplify]: Extracting #4: cost 0 inf + 490 8.851 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 8.851 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 8.851 * * * * [progress]: [ 179 / 184 ] simplifiying candidate # 8.851 * [simplify]: Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 8.851 * * [simplify]: iters left: 6 (12 enodes) 8.855 * * [simplify]: iters left: 5 (52 enodes) 8.865 * * [simplify]: iters left: 4 (104 enodes) 8.891 * * [simplify]: iters left: 3 (254 enodes) 8.974 * * [simplify]: Extracting #0: cost 1 inf + 0 8.974 * * [simplify]: Extracting #1: cost 5 inf + 0 8.974 * * [simplify]: Extracting #2: cost 89 inf + 0 8.975 * * [simplify]: Extracting #3: cost 176 inf + 45 8.977 * * [simplify]: Extracting #4: cost 103 inf + 7976 8.982 * * [simplify]: Extracting #5: cost 11 inf + 21237 8.987 * * [simplify]: Extracting #6: cost 0 inf + 23114 8.993 * [simplify]: Simplified to (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))) 8.993 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))))) 8.993 * * * * [progress]: [ 180 / 184 ] simplifiying candidate # 8.993 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 8.993 * * [simplify]: iters left: 5 (8 enodes) 9.000 * * [simplify]: iters left: 4 (32 enodes) 9.006 * * [simplify]: iters left: 3 (48 enodes) 9.013 * * [simplify]: iters left: 2 (69 enodes) 9.028 * * [simplify]: iters left: 1 (85 enodes) 9.051 * * [simplify]: Extracting #0: cost 1 inf + 0 9.052 * * [simplify]: Extracting #1: cost 17 inf + 0 9.052 * * [simplify]: Extracting #2: cost 30 inf + 42 9.052 * * [simplify]: Extracting #3: cost 25 inf + 288 9.053 * * [simplify]: Extracting #4: cost 7 inf + 2485 9.054 * * [simplify]: Extracting #5: cost 0 inf + 3461 9.055 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 9.056 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 9.056 * * * * [progress]: [ 181 / 184 ] simplifiying candidate # 9.056 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 9.056 * * [simplify]: iters left: 5 (8 enodes) 9.061 * * [simplify]: iters left: 4 (32 enodes) 9.072 * * [simplify]: iters left: 3 (48 enodes) 9.086 * * [simplify]: iters left: 2 (69 enodes) 9.106 * * [simplify]: iters left: 1 (85 enodes) 9.132 * * [simplify]: Extracting #0: cost 1 inf + 0 9.132 * * [simplify]: Extracting #1: cost 17 inf + 0 9.133 * * [simplify]: Extracting #2: cost 30 inf + 42 9.133 * * [simplify]: Extracting #3: cost 25 inf + 288 9.134 * * [simplify]: Extracting #4: cost 7 inf + 2485 9.135 * * [simplify]: Extracting #5: cost 0 inf + 3461 9.136 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 9.136 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 9.136 * * * * [progress]: [ 182 / 184 ] simplifiying candidate # 9.137 * [simplify]: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 9.137 * * [simplify]: iters left: 6 (12 enodes) 9.144 * * [simplify]: iters left: 5 (52 enodes) 9.162 * * [simplify]: iters left: 4 (104 enodes) 9.202 * * [simplify]: iters left: 3 (254 enodes) 9.313 * * [simplify]: Extracting #0: cost 1 inf + 0 9.313 * * [simplify]: Extracting #1: cost 5 inf + 0 9.313 * * [simplify]: Extracting #2: cost 89 inf + 0 9.314 * * [simplify]: Extracting #3: cost 176 inf + 45 9.318 * * [simplify]: Extracting #4: cost 103 inf + 7976 9.328 * * [simplify]: Extracting #5: cost 11 inf + 21237 9.340 * * [simplify]: Extracting #6: cost 0 inf + 23114 9.350 * [simplify]: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) 9.351 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 9.351 * * * * [progress]: [ 183 / 184 ] simplifiying candidate # 9.351 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 9.351 * * [simplify]: iters left: 5 (8 enodes) 9.356 * * [simplify]: iters left: 4 (32 enodes) 9.366 * * [simplify]: iters left: 3 (48 enodes) 9.381 * * [simplify]: iters left: 2 (68 enodes) 9.403 * * [simplify]: iters left: 1 (80 enodes) 9.425 * * [simplify]: Extracting #0: cost 1 inf + 0 9.425 * * [simplify]: Extracting #1: cost 18 inf + 0 9.425 * * [simplify]: Extracting #2: cost 33 inf + 1 9.425 * * [simplify]: Extracting #3: cost 27 inf + 288 9.426 * * [simplify]: Extracting #4: cost 5 inf + 3074 9.428 * * [simplify]: Extracting #5: cost 1 inf + 3705 9.429 * * [simplify]: Extracting #6: cost 0 inf + 3888 9.431 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 9.431 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 9.431 * * * * [progress]: [ 184 / 184 ] simplifiying candidate # 9.431 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 9.431 * * [simplify]: iters left: 5 (8 enodes) 9.436 * * [simplify]: iters left: 4 (32 enodes) 9.446 * * [simplify]: iters left: 3 (48 enodes) 9.454 * * [simplify]: iters left: 2 (68 enodes) 9.463 * * [simplify]: iters left: 1 (80 enodes) 9.474 * * [simplify]: Extracting #0: cost 1 inf + 0 9.474 * * [simplify]: Extracting #1: cost 18 inf + 0 9.474 * * [simplify]: Extracting #2: cost 33 inf + 1 9.475 * * [simplify]: Extracting #3: cost 27 inf + 288 9.475 * * [simplify]: Extracting #4: cost 5 inf + 3074 9.477 * * [simplify]: Extracting #5: cost 1 inf + 3705 9.478 * * [simplify]: Extracting #6: cost 0 inf + 3888 9.480 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 9.480 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 9.480 * * * [progress]: adding candidates to table 11.698 * * [progress]: iteration 2 / 4 11.698 * * * [progress]: picking best candidate 11.757 * * * * [pick]: Picked # 11.757 * * * [progress]: localizing error 11.814 * * * [progress]: generating rewritten candidates 11.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 11.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 11.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 11.916 * * * [progress]: generating series expansions 11.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 11.917 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 11.917 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 11.917 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 11.917 * [taylor]: Taking taylor expansion of (cos th) in th 11.917 * [taylor]: Taking taylor expansion of th in th 11.917 * [backup-simplify]: Simplify 0 into 0 11.917 * [backup-simplify]: Simplify 1 into 1 11.917 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.918 * [taylor]: Taking taylor expansion of 2 in th 11.918 * [backup-simplify]: Simplify 2 into 2 11.918 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.920 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 11.920 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 11.920 * [taylor]: Taking taylor expansion of (cos th) in th 11.920 * [taylor]: Taking taylor expansion of th in th 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify 1 into 1 11.920 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.920 * [taylor]: Taking taylor expansion of 2 in th 11.920 * [backup-simplify]: Simplify 2 into 2 11.920 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.922 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 11.923 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 11.923 * [backup-simplify]: Simplify (+ 0) into 0 11.925 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 11.925 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 11.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 11.930 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) 11.933 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 11.934 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.937 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 11.937 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 11.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.946 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) 11.948 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) 11.953 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 11.953 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 11.953 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 11.953 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 11.953 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 11.953 * [taylor]: Taking taylor expansion of (/ 1 th) in th 11.953 * [taylor]: Taking taylor expansion of th in th 11.953 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 1 into 1 11.954 * [backup-simplify]: Simplify (/ 1 1) into 1 11.954 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 11.954 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.954 * [taylor]: Taking taylor expansion of 2 in th 11.954 * [backup-simplify]: Simplify 2 into 2 11.954 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.956 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 11.956 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 11.956 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 11.956 * [taylor]: Taking taylor expansion of (/ 1 th) in th 11.956 * [taylor]: Taking taylor expansion of th in th 11.956 * [backup-simplify]: Simplify 0 into 0 11.956 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 11.956 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.956 * [taylor]: Taking taylor expansion of 2 in th 11.956 * [backup-simplify]: Simplify 2 into 2 11.957 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.958 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 11.958 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 11.960 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 11.960 * [backup-simplify]: Simplify 0 into 0 11.961 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 11.963 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.963 * [backup-simplify]: Simplify 0 into 0 11.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.967 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.967 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.972 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.972 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.977 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.977 * [backup-simplify]: Simplify 0 into 0 11.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.983 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.983 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 11.984 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 11.984 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in (th) around 0 11.985 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 11.985 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 11.985 * [taylor]: Taking taylor expansion of (/ -1 th) in th 11.985 * [taylor]: Taking taylor expansion of -1 in th 11.985 * [backup-simplify]: Simplify -1 into -1 11.985 * [taylor]: Taking taylor expansion of th in th 11.985 * [backup-simplify]: Simplify 0 into 0 11.985 * [backup-simplify]: Simplify 1 into 1 11.985 * [backup-simplify]: Simplify (/ -1 1) into -1 11.985 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 11.985 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.985 * [taylor]: Taking taylor expansion of 2 in th 11.985 * [backup-simplify]: Simplify 2 into 2 11.986 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.987 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 11.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 11.987 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 11.987 * [taylor]: Taking taylor expansion of (/ -1 th) in th 11.987 * [taylor]: Taking taylor expansion of -1 in th 11.987 * [backup-simplify]: Simplify -1 into -1 11.987 * [taylor]: Taking taylor expansion of th in th 11.987 * [backup-simplify]: Simplify 0 into 0 11.987 * [backup-simplify]: Simplify 1 into 1 11.987 * [backup-simplify]: Simplify (/ -1 1) into -1 11.988 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 11.988 * [taylor]: Taking taylor expansion of (sqrt 2) in th 11.988 * [taylor]: Taking taylor expansion of 2 in th 11.988 * [backup-simplify]: Simplify 2 into 2 11.988 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 11.989 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 11.990 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 11.991 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 11.991 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 11.995 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.995 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 11.999 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 11.999 * [backup-simplify]: Simplify 0 into 0 12.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.004 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.004 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.009 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.009 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.016 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 12.016 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 12.017 * [backup-simplify]: Simplify (/ (sqrt 2) a1) into (/ (sqrt 2) a1) 12.017 * [approximate]: Taking taylor expansion of (/ (sqrt 2) a1) in (a1) around 0 12.017 * [taylor]: Taking taylor expansion of (/ (sqrt 2) a1) in a1 12.017 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.017 * [taylor]: Taking taylor expansion of 2 in a1 12.017 * [backup-simplify]: Simplify 2 into 2 12.017 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.018 * [taylor]: Taking taylor expansion of a1 in a1 12.018 * [backup-simplify]: Simplify 0 into 0 12.018 * [backup-simplify]: Simplify 1 into 1 12.019 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 12.019 * [taylor]: Taking taylor expansion of (/ (sqrt 2) a1) in a1 12.019 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.019 * [taylor]: Taking taylor expansion of 2 in a1 12.019 * [backup-simplify]: Simplify 2 into 2 12.019 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.020 * [taylor]: Taking taylor expansion of a1 in a1 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 1 into 1 12.021 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 12.021 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.025 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.027 * [backup-simplify]: Simplify 0 into 0 12.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.030 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.034 * [backup-simplify]: Simplify 0 into 0 12.035 * [backup-simplify]: Simplify (* (sqrt 2) (/ 1 a1)) into (/ (sqrt 2) a1) 12.035 * [backup-simplify]: Simplify (/ (sqrt 2) (/ 1 a1)) into (* a1 (sqrt 2)) 12.035 * [approximate]: Taking taylor expansion of (* a1 (sqrt 2)) in (a1) around 0 12.035 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2)) in a1 12.035 * [taylor]: Taking taylor expansion of a1 in a1 12.036 * [backup-simplify]: Simplify 0 into 0 12.036 * [backup-simplify]: Simplify 1 into 1 12.036 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.036 * [taylor]: Taking taylor expansion of 2 in a1 12.036 * [backup-simplify]: Simplify 2 into 2 12.036 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.037 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2)) in a1 12.037 * [taylor]: Taking taylor expansion of a1 in a1 12.037 * [backup-simplify]: Simplify 0 into 0 12.037 * [backup-simplify]: Simplify 1 into 1 12.037 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.037 * [taylor]: Taking taylor expansion of 2 in a1 12.037 * [backup-simplify]: Simplify 2 into 2 12.037 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.038 * [backup-simplify]: Simplify (* 0 (sqrt 2)) into 0 12.038 * [backup-simplify]: Simplify 0 into 0 12.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) 12.041 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 12.394 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 12.403 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 12.408 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))))) into 0 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify (* (sqrt 2) (/ 1 a1)) into (/ (sqrt 2) a1) 12.412 * [backup-simplify]: Simplify (/ (sqrt 2) (/ 1 (- a1))) into (* -1 (* a1 (sqrt 2))) 12.412 * [approximate]: Taking taylor expansion of (* -1 (* a1 (sqrt 2))) in (a1) around 0 12.412 * [taylor]: Taking taylor expansion of (* -1 (* a1 (sqrt 2))) in a1 12.412 * [taylor]: Taking taylor expansion of -1 in a1 12.412 * [backup-simplify]: Simplify -1 into -1 12.412 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2)) in a1 12.412 * [taylor]: Taking taylor expansion of a1 in a1 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.412 * [taylor]: Taking taylor expansion of 2 in a1 12.412 * [backup-simplify]: Simplify 2 into 2 12.412 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.413 * [taylor]: Taking taylor expansion of (* -1 (* a1 (sqrt 2))) in a1 12.413 * [taylor]: Taking taylor expansion of -1 in a1 12.413 * [backup-simplify]: Simplify -1 into -1 12.413 * [taylor]: Taking taylor expansion of (* a1 (sqrt 2)) in a1 12.413 * [taylor]: Taking taylor expansion of a1 in a1 12.413 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify 1 into 1 12.413 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.413 * [taylor]: Taking taylor expansion of 2 in a1 12.413 * [backup-simplify]: Simplify 2 into 2 12.414 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.415 * [backup-simplify]: Simplify (* 0 (sqrt 2)) into 0 12.415 * [backup-simplify]: Simplify (* -1 0) into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) 12.419 * [backup-simplify]: Simplify (+ (* -1 (sqrt 2)) (* 0 0)) into (- (sqrt 2)) 12.420 * [backup-simplify]: Simplify (- (sqrt 2)) into (- (sqrt 2)) 12.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 12.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 2)) (* 0 0))) into 0 12.424 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 12.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 12.432 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))) into 0 12.432 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 12.435 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))))) into 0 12.435 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 12.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))))) into 0 12.438 * [backup-simplify]: Simplify 0 into 0 12.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))))) into 0 12.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))))))) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify (* (- (sqrt 2)) (/ 1 (- a1))) into (/ (sqrt 2) a1) 12.441 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 12.442 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 12.442 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in (th a2) around 0 12.442 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in a2 12.442 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 12.442 * [taylor]: Taking taylor expansion of (cos th) in a2 12.442 * [taylor]: Taking taylor expansion of th in a2 12.442 * [backup-simplify]: Simplify th into th 12.442 * [backup-simplify]: Simplify (cos th) into (cos th) 12.442 * [backup-simplify]: Simplify (sin th) into (sin th) 12.442 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.442 * [taylor]: Taking taylor expansion of a2 in a2 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 1 into 1 12.442 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.442 * [taylor]: Taking taylor expansion of 2 in a2 12.442 * [backup-simplify]: Simplify 2 into 2 12.442 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.443 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 12.443 * [backup-simplify]: Simplify (* (sin th) 0) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.443 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 12.443 * [backup-simplify]: Simplify (* 1 1) into 1 12.443 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 12.444 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 12.444 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 12.444 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 12.444 * [taylor]: Taking taylor expansion of (cos th) in th 12.444 * [taylor]: Taking taylor expansion of th in th 12.444 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify 1 into 1 12.444 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.444 * [taylor]: Taking taylor expansion of a2 in th 12.444 * [backup-simplify]: Simplify a2 into a2 12.444 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.444 * [taylor]: Taking taylor expansion of 2 in th 12.444 * [backup-simplify]: Simplify 2 into 2 12.444 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.445 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.445 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 12.445 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 12.445 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 12.445 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 12.445 * [taylor]: Taking taylor expansion of (cos th) in th 12.445 * [taylor]: Taking taylor expansion of th in th 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.445 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.445 * [taylor]: Taking taylor expansion of a2 in th 12.445 * [backup-simplify]: Simplify a2 into a2 12.445 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.445 * [taylor]: Taking taylor expansion of 2 in th 12.445 * [backup-simplify]: Simplify 2 into 2 12.446 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.446 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.446 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 12.446 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 12.447 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 12.447 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.447 * [taylor]: Taking taylor expansion of a2 in a2 12.447 * [backup-simplify]: Simplify 0 into 0 12.447 * [backup-simplify]: Simplify 1 into 1 12.447 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.447 * [taylor]: Taking taylor expansion of 2 in a2 12.447 * [backup-simplify]: Simplify 2 into 2 12.447 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.448 * [backup-simplify]: Simplify (* 1 1) into 1 12.448 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.449 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.449 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 12.449 * [backup-simplify]: Simplify (+ 0) into 0 12.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.450 * [taylor]: Taking taylor expansion of 0 in a2 12.450 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.451 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.451 * [backup-simplify]: Simplify 0 into 0 12.452 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 12.452 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2))) 12.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.455 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 12.455 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 12.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 12.455 * [taylor]: Taking taylor expansion of 1/2 in a2 12.455 * [backup-simplify]: Simplify 1/2 into 1/2 12.455 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 12.455 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.455 * [taylor]: Taking taylor expansion of a2 in a2 12.455 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify 1 into 1 12.455 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.455 * [taylor]: Taking taylor expansion of 2 in a2 12.455 * [backup-simplify]: Simplify 2 into 2 12.455 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.456 * [backup-simplify]: Simplify (* 1 1) into 1 12.456 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.457 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 12.458 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 12.460 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.462 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 12.463 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0 12.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.467 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 12.467 * [taylor]: Taking taylor expansion of 0 in a2 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.469 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 12.471 * [backup-simplify]: Simplify (- 0) into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.474 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.478 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 12.479 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 12.479 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 12.479 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 12.479 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 12.479 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 12.479 * [taylor]: Taking taylor expansion of th in a2 12.479 * [backup-simplify]: Simplify th into th 12.479 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 12.479 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.479 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 12.479 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 12.479 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.479 * [taylor]: Taking taylor expansion of 2 in a2 12.479 * [backup-simplify]: Simplify 2 into 2 12.480 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.480 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.480 * [taylor]: Taking taylor expansion of a2 in a2 12.480 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify 1 into 1 12.480 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 12.481 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 12.481 * [backup-simplify]: Simplify (- 0) into 0 12.481 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 12.481 * [backup-simplify]: Simplify (* 1 1) into 1 12.482 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.483 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.483 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 12.483 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 12.483 * [taylor]: Taking taylor expansion of (/ 1 th) in th 12.483 * [taylor]: Taking taylor expansion of th in th 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify 1 into 1 12.483 * [backup-simplify]: Simplify (/ 1 1) into 1 12.483 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.483 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 12.483 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.483 * [taylor]: Taking taylor expansion of 2 in th 12.483 * [backup-simplify]: Simplify 2 into 2 12.484 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.485 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.485 * [taylor]: Taking taylor expansion of a2 in th 12.485 * [backup-simplify]: Simplify a2 into a2 12.485 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.485 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 12.486 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 12.486 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 12.486 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 12.486 * [taylor]: Taking taylor expansion of (/ 1 th) in th 12.486 * [taylor]: Taking taylor expansion of th in th 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (/ 1 1) into 1 12.486 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.486 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 12.486 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.486 * [taylor]: Taking taylor expansion of 2 in th 12.486 * [backup-simplify]: Simplify 2 into 2 12.487 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.488 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.488 * [taylor]: Taking taylor expansion of a2 in th 12.488 * [backup-simplify]: Simplify a2 into a2 12.488 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.488 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 12.489 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 12.489 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 12.489 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 12.489 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 12.489 * [taylor]: Taking taylor expansion of th in a2 12.489 * [backup-simplify]: Simplify th into th 12.489 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 12.489 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.489 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 12.489 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 12.489 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.489 * [taylor]: Taking taylor expansion of 2 in a2 12.489 * [backup-simplify]: Simplify 2 into 2 12.490 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.490 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.490 * [taylor]: Taking taylor expansion of a2 in a2 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.490 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 12.491 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 12.491 * [backup-simplify]: Simplify (- 0) into 0 12.491 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 12.491 * [backup-simplify]: Simplify (* 1 1) into 1 12.492 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.493 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.493 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.493 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 12.494 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 12.495 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.495 * [taylor]: Taking taylor expansion of 0 in a2 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify (+ 0) into 0 12.495 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 12.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 12.496 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.496 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 12.496 * [backup-simplify]: Simplify (- 0) into 0 12.497 * [backup-simplify]: Simplify (+ 0 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.498 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.499 * [backup-simplify]: Simplify 0 into 0 12.499 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 12.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.500 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 12.501 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.501 * [taylor]: Taking taylor expansion of 0 in a2 12.501 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 12.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 12.504 * [backup-simplify]: Simplify (- 0) into 0 12.504 * [backup-simplify]: Simplify (+ 0 0) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.506 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.510 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 12.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.512 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 12.514 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.514 * [taylor]: Taking taylor expansion of 0 in a2 12.514 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify 0 into 0 12.514 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.516 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.517 * [backup-simplify]: Simplify (- 0) into 0 12.517 * [backup-simplify]: Simplify (+ 0 0) into 0 12.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.519 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.520 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 12.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.524 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 12.527 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.527 * [taylor]: Taking taylor expansion of 0 in a2 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 12.529 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 12.529 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 12.529 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 12.529 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 12.529 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 12.529 * [taylor]: Taking taylor expansion of -1 in a2 12.529 * [backup-simplify]: Simplify -1 into -1 12.529 * [taylor]: Taking taylor expansion of th in a2 12.529 * [backup-simplify]: Simplify th into th 12.529 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 12.529 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.529 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 12.529 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 12.529 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.529 * [taylor]: Taking taylor expansion of 2 in a2 12.529 * [backup-simplify]: Simplify 2 into 2 12.529 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.530 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.530 * [taylor]: Taking taylor expansion of a2 in a2 12.530 * [backup-simplify]: Simplify 0 into 0 12.530 * [backup-simplify]: Simplify 1 into 1 12.530 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 12.530 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.531 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 12.531 * [backup-simplify]: Simplify (* 1 1) into 1 12.532 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.533 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.533 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 12.533 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 12.533 * [taylor]: Taking taylor expansion of (/ -1 th) in th 12.533 * [taylor]: Taking taylor expansion of -1 in th 12.533 * [backup-simplify]: Simplify -1 into -1 12.533 * [taylor]: Taking taylor expansion of th in th 12.533 * [backup-simplify]: Simplify 0 into 0 12.533 * [backup-simplify]: Simplify 1 into 1 12.533 * [backup-simplify]: Simplify (/ -1 1) into -1 12.533 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.534 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 12.534 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.534 * [taylor]: Taking taylor expansion of 2 in th 12.534 * [backup-simplify]: Simplify 2 into 2 12.534 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.535 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.535 * [taylor]: Taking taylor expansion of a2 in th 12.535 * [backup-simplify]: Simplify a2 into a2 12.535 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.535 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 12.536 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 12.536 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 12.536 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 12.536 * [taylor]: Taking taylor expansion of (/ -1 th) in th 12.536 * [taylor]: Taking taylor expansion of -1 in th 12.536 * [backup-simplify]: Simplify -1 into -1 12.536 * [taylor]: Taking taylor expansion of th in th 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 1 into 1 12.536 * [backup-simplify]: Simplify (/ -1 1) into -1 12.537 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.537 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 12.537 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.537 * [taylor]: Taking taylor expansion of 2 in th 12.537 * [backup-simplify]: Simplify 2 into 2 12.537 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.538 * [taylor]: Taking taylor expansion of (pow a2 2) in th 12.538 * [taylor]: Taking taylor expansion of a2 in th 12.538 * [backup-simplify]: Simplify a2 into a2 12.538 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 12.538 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 12.539 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 12.539 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 12.539 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 12.539 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 12.539 * [taylor]: Taking taylor expansion of -1 in a2 12.539 * [backup-simplify]: Simplify -1 into -1 12.539 * [taylor]: Taking taylor expansion of th in a2 12.539 * [backup-simplify]: Simplify th into th 12.539 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 12.539 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.539 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 12.539 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 12.539 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 12.539 * [taylor]: Taking taylor expansion of 2 in a2 12.539 * [backup-simplify]: Simplify 2 into 2 12.540 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.540 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 12.540 * [taylor]: Taking taylor expansion of a2 in a2 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.541 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 12.541 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 12.541 * [backup-simplify]: Simplify (- 0) into 0 12.541 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.542 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.543 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.543 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.544 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 12.544 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 12.546 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.546 * [taylor]: Taking taylor expansion of 0 in a2 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify (+ 0) into 0 12.547 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 12.547 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 12.548 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 12.549 * [backup-simplify]: Simplify (- 0) into 0 12.549 * [backup-simplify]: Simplify (+ 0 0) into 0 12.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.551 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 12.552 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.552 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 12.554 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.555 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 12.557 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.557 * [taylor]: Taking taylor expansion of 0 in a2 12.557 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 12.558 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 12.560 * [backup-simplify]: Simplify (- 0) into 0 12.561 * [backup-simplify]: Simplify (+ 0 0) into 0 12.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.564 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.566 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.566 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 12.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.569 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 12.572 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.572 * [taylor]: Taking taylor expansion of 0 in a2 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.574 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.576 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.577 * [backup-simplify]: Simplify (- 0) into 0 12.577 * [backup-simplify]: Simplify (+ 0 0) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.581 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.583 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 12.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.588 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 12.590 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 12.590 * [taylor]: Taking taylor expansion of 0 in a2 12.590 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify 0 into 0 12.591 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 12.591 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 12.592 * [backup-simplify]: Simplify (/ (* (cos th) a1) (/ (sqrt 2) a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 12.592 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in (th a1) around 0 12.592 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in a1 12.592 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 12.592 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.592 * [taylor]: Taking taylor expansion of a1 in a1 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [taylor]: Taking taylor expansion of (cos th) in a1 12.592 * [taylor]: Taking taylor expansion of th in a1 12.592 * [backup-simplify]: Simplify th into th 12.592 * [backup-simplify]: Simplify (cos th) into (cos th) 12.592 * [backup-simplify]: Simplify (sin th) into (sin th) 12.592 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.592 * [taylor]: Taking taylor expansion of 2 in a1 12.592 * [backup-simplify]: Simplify 2 into 2 12.593 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.594 * [backup-simplify]: Simplify (* 1 1) into 1 12.594 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 12.594 * [backup-simplify]: Simplify (* (sin th) 0) into 0 12.594 * [backup-simplify]: Simplify (- 0) into 0 12.594 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 12.594 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th) 12.595 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 12.595 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 12.595 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 12.595 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.595 * [taylor]: Taking taylor expansion of a1 in th 12.595 * [backup-simplify]: Simplify a1 into a1 12.595 * [taylor]: Taking taylor expansion of (cos th) in th 12.595 * [taylor]: Taking taylor expansion of th in th 12.595 * [backup-simplify]: Simplify 0 into 0 12.595 * [backup-simplify]: Simplify 1 into 1 12.595 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.595 * [taylor]: Taking taylor expansion of 2 in th 12.595 * [backup-simplify]: Simplify 2 into 2 12.595 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.596 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.596 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 12.597 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 12.597 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 12.597 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 12.597 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.597 * [taylor]: Taking taylor expansion of a1 in th 12.597 * [backup-simplify]: Simplify a1 into a1 12.597 * [taylor]: Taking taylor expansion of (cos th) in th 12.597 * [taylor]: Taking taylor expansion of th in th 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 1 into 1 12.597 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.597 * [taylor]: Taking taylor expansion of 2 in th 12.597 * [backup-simplify]: Simplify 2 into 2 12.597 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.598 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.598 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 12.599 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 12.599 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 12.599 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.599 * [taylor]: Taking taylor expansion of a1 in a1 12.599 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify 1 into 1 12.599 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.599 * [taylor]: Taking taylor expansion of 2 in a1 12.599 * [backup-simplify]: Simplify 2 into 2 12.599 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.600 * [backup-simplify]: Simplify (* 1 1) into 1 12.601 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.602 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.603 * [backup-simplify]: Simplify (+ 0) into 0 12.603 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 12.603 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0 12.605 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.605 * [taylor]: Taking taylor expansion of 0 in a1 12.605 * [backup-simplify]: Simplify 0 into 0 12.605 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.607 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.608 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 12.609 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 12.609 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2))) 12.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.612 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) 12.612 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 12.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 12.613 * [taylor]: Taking taylor expansion of 1/2 in a1 12.613 * [backup-simplify]: Simplify 1/2 into 1/2 12.613 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 12.613 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.613 * [taylor]: Taking taylor expansion of a1 in a1 12.613 * [backup-simplify]: Simplify 0 into 0 12.613 * [backup-simplify]: Simplify 1 into 1 12.613 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.613 * [taylor]: Taking taylor expansion of 2 in a1 12.613 * [backup-simplify]: Simplify 2 into 2 12.613 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.614 * [backup-simplify]: Simplify (* 1 1) into 1 12.615 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 12.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 12.618 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 12.620 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 12.621 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.624 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.624 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.626 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 12.627 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 12.632 * [taylor]: Taking taylor expansion of 0 in a1 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.634 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 12.635 * [backup-simplify]: Simplify (- 0) into 0 12.635 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.638 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 12.641 * [backup-simplify]: Simplify (/ (* (cos (/ 1 th)) (/ 1 a1)) (/ (sqrt 2) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 12.641 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in (th a1) around 0 12.641 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 12.641 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 12.641 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 12.641 * [taylor]: Taking taylor expansion of th in a1 12.641 * [backup-simplify]: Simplify th into th 12.641 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 12.641 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.641 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 12.641 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 12.641 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.641 * [taylor]: Taking taylor expansion of 2 in a1 12.641 * [backup-simplify]: Simplify 2 into 2 12.643 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.644 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.644 * [taylor]: Taking taylor expansion of a1 in a1 12.644 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify 1 into 1 12.644 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 12.644 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 12.644 * [backup-simplify]: Simplify (- 0) into 0 12.644 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 12.644 * [backup-simplify]: Simplify (* 1 1) into 1 12.645 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.645 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.645 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 12.645 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 12.645 * [taylor]: Taking taylor expansion of (/ 1 th) in th 12.645 * [taylor]: Taking taylor expansion of th in th 12.645 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [backup-simplify]: Simplify (/ 1 1) into 1 12.646 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.646 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 12.646 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.646 * [taylor]: Taking taylor expansion of 2 in th 12.646 * [backup-simplify]: Simplify 2 into 2 12.646 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.646 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.646 * [taylor]: Taking taylor expansion of a1 in th 12.646 * [backup-simplify]: Simplify a1 into a1 12.646 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.647 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 12.647 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 12.647 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 12.647 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 12.647 * [taylor]: Taking taylor expansion of (/ 1 th) in th 12.647 * [taylor]: Taking taylor expansion of th in th 12.647 * [backup-simplify]: Simplify 0 into 0 12.647 * [backup-simplify]: Simplify 1 into 1 12.647 * [backup-simplify]: Simplify (/ 1 1) into 1 12.647 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.647 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 12.647 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.647 * [taylor]: Taking taylor expansion of 2 in th 12.647 * [backup-simplify]: Simplify 2 into 2 12.648 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.648 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.648 * [taylor]: Taking taylor expansion of a1 in th 12.648 * [backup-simplify]: Simplify a1 into a1 12.648 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.648 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 12.649 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 12.649 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 12.649 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 12.649 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 12.649 * [taylor]: Taking taylor expansion of th in a1 12.649 * [backup-simplify]: Simplify th into th 12.649 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 12.649 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 12.649 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 12.649 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 12.649 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.649 * [taylor]: Taking taylor expansion of 2 in a1 12.649 * [backup-simplify]: Simplify 2 into 2 12.649 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.650 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.650 * [taylor]: Taking taylor expansion of a1 in a1 12.650 * [backup-simplify]: Simplify 0 into 0 12.650 * [backup-simplify]: Simplify 1 into 1 12.650 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 12.650 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 12.650 * [backup-simplify]: Simplify (- 0) into 0 12.650 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 12.650 * [backup-simplify]: Simplify (* 1 1) into 1 12.651 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 12.651 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.652 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 12.652 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 12.652 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a1 2))) into 0 12.653 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.653 * [taylor]: Taking taylor expansion of 0 in a1 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify (+ 0) into 0 12.654 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 12.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 12.654 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.654 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 12.655 * [backup-simplify]: Simplify (- 0) into 0 12.655 * [backup-simplify]: Simplify (+ 0 0) into 0 12.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.656 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 12.657 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.657 * [backup-simplify]: Simplify 0 into 0 12.657 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 12.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.658 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0 12.659 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.659 * [taylor]: Taking taylor expansion of 0 in a1 12.659 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.660 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 12.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.661 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 12.662 * [backup-simplify]: Simplify (- 0) into 0 12.662 * [backup-simplify]: Simplify (+ 0 0) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.664 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 12.665 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.665 * [backup-simplify]: Simplify 0 into 0 12.666 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 12.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.668 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0 12.671 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.671 * [taylor]: Taking taylor expansion of 0 in a1 12.671 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.674 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.675 * [backup-simplify]: Simplify (- 0) into 0 12.676 * [backup-simplify]: Simplify (+ 0 0) into 0 12.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.679 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.682 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.682 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 12.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.687 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0 12.689 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.690 * [taylor]: Taking taylor expansion of 0 in a1 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify 0 into 0 12.690 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 12.691 * [backup-simplify]: Simplify (/ (* (cos (/ 1 (- th))) (/ 1 (- a1))) (/ (sqrt 2) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 12.691 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in (th a1) around 0 12.691 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 12.691 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 12.691 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 12.691 * [taylor]: Taking taylor expansion of -1 in a1 12.691 * [backup-simplify]: Simplify -1 into -1 12.691 * [taylor]: Taking taylor expansion of th in a1 12.691 * [backup-simplify]: Simplify th into th 12.691 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 12.691 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.691 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 12.691 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 12.691 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.691 * [taylor]: Taking taylor expansion of a1 in a1 12.691 * [backup-simplify]: Simplify 0 into 0 12.691 * [backup-simplify]: Simplify 1 into 1 12.691 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.691 * [taylor]: Taking taylor expansion of 2 in a1 12.691 * [backup-simplify]: Simplify 2 into 2 12.692 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.693 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 12.693 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 12.693 * [backup-simplify]: Simplify (- 0) into 0 12.693 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 12.694 * [backup-simplify]: Simplify (* 1 1) into 1 12.694 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 12.695 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.695 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 12.695 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 12.695 * [taylor]: Taking taylor expansion of (/ -1 th) in th 12.695 * [taylor]: Taking taylor expansion of -1 in th 12.695 * [backup-simplify]: Simplify -1 into -1 12.695 * [taylor]: Taking taylor expansion of th in th 12.695 * [backup-simplify]: Simplify 0 into 0 12.695 * [backup-simplify]: Simplify 1 into 1 12.696 * [backup-simplify]: Simplify (/ -1 1) into -1 12.696 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.696 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 12.696 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.696 * [taylor]: Taking taylor expansion of a1 in th 12.696 * [backup-simplify]: Simplify a1 into a1 12.696 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.696 * [taylor]: Taking taylor expansion of 2 in th 12.696 * [backup-simplify]: Simplify 2 into 2 12.696 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.697 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.697 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 12.698 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 12.698 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 12.698 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 12.698 * [taylor]: Taking taylor expansion of (/ -1 th) in th 12.698 * [taylor]: Taking taylor expansion of -1 in th 12.698 * [backup-simplify]: Simplify -1 into -1 12.698 * [taylor]: Taking taylor expansion of th in th 12.698 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify 1 into 1 12.699 * [backup-simplify]: Simplify (/ -1 1) into -1 12.699 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.699 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 12.699 * [taylor]: Taking taylor expansion of (pow a1 2) in th 12.699 * [taylor]: Taking taylor expansion of a1 in th 12.699 * [backup-simplify]: Simplify a1 into a1 12.699 * [taylor]: Taking taylor expansion of (sqrt 2) in th 12.699 * [taylor]: Taking taylor expansion of 2 in th 12.699 * [backup-simplify]: Simplify 2 into 2 12.699 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.700 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 12.700 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 12.701 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 12.701 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 12.701 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 12.701 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 12.701 * [taylor]: Taking taylor expansion of -1 in a1 12.701 * [backup-simplify]: Simplify -1 into -1 12.701 * [taylor]: Taking taylor expansion of th in a1 12.701 * [backup-simplify]: Simplify th into th 12.701 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 12.701 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 12.701 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 12.701 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 12.701 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 12.701 * [taylor]: Taking taylor expansion of a1 in a1 12.701 * [backup-simplify]: Simplify 0 into 0 12.702 * [backup-simplify]: Simplify 1 into 1 12.702 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 12.702 * [taylor]: Taking taylor expansion of 2 in a1 12.702 * [backup-simplify]: Simplify 2 into 2 12.702 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.703 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 12.703 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 12.703 * [backup-simplify]: Simplify (- 0) into 0 12.703 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 12.704 * [backup-simplify]: Simplify (* 1 1) into 1 12.705 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 12.705 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.705 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 12.706 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 12.706 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2))) into 0 12.708 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.708 * [taylor]: Taking taylor expansion of 0 in a1 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify (+ 0) into 0 12.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 12.709 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 12.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 12.710 * [backup-simplify]: Simplify (- 0) into 0 12.711 * [backup-simplify]: Simplify (+ 0 0) into 0 12.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 12.714 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.714 * [backup-simplify]: Simplify 0 into 0 12.715 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.715 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 12.716 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 12.718 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.718 * [taylor]: Taking taylor expansion of 0 in a1 12.718 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 12.719 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.719 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.720 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 12.720 * [backup-simplify]: Simplify (- 0) into 0 12.720 * [backup-simplify]: Simplify (+ 0 0) into 0 12.721 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 12.723 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.723 * [backup-simplify]: Simplify 0 into 0 12.724 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.724 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 12.725 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 12.727 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.727 * [taylor]: Taking taylor expansion of 0 in a1 12.727 * [backup-simplify]: Simplify 0 into 0 12.727 * [backup-simplify]: Simplify 0 into 0 12.727 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.728 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.728 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 12.729 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.729 * [backup-simplify]: Simplify (- 0) into 0 12.730 * [backup-simplify]: Simplify (+ 0 0) into 0 12.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 12.733 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.733 * [backup-simplify]: Simplify 0 into 0 12.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 12.735 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 12.735 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 12.737 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 12.737 * [taylor]: Taking taylor expansion of 0 in a1 12.737 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify 0 into 0 12.737 * [backup-simplify]: Simplify 0 into 0 12.738 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 12.738 * * * [progress]: simplifying candidates 12.738 * * * * [progress]: [ 1 / 203 ] simplifiying candidate # 12.738 * * * * [progress]: [ 2 / 203 ] simplifiying candidate # 12.738 * [simplify]: Simplifying (- (log (cos th)) (log (sqrt 2))) 12.738 * * [simplify]: iters left: 4 (7 enodes) 12.740 * * [simplify]: iters left: 3 (23 enodes) 12.744 * * [simplify]: iters left: 2 (26 enodes) 12.749 * * [simplify]: Extracting #0: cost 1 inf + 0 12.749 * * [simplify]: Extracting #1: cost 5 inf + 0 12.749 * * [simplify]: Extracting #2: cost 10 inf + 0 12.749 * * [simplify]: Extracting #3: cost 14 inf + 0 12.749 * * [simplify]: Extracting #4: cost 12 inf + 2 12.750 * * [simplify]: Extracting #5: cost 6 inf + 468 12.750 * * [simplify]: Extracting #6: cost 1 inf + 1274 12.750 * * [simplify]: Extracting #7: cost 0 inf + 1556 12.751 * [simplify]: Simplified to (- (log (cos th)) (log (sqrt 2))) 12.751 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2)))) 12.751 * * * * [progress]: [ 3 / 203 ] simplifiying candidate # 12.751 * * * * [progress]: [ 4 / 203 ] simplifiying candidate # 12.751 * * * * [progress]: [ 5 / 203 ] simplifiying candidate # 12.751 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 12.751 * * [simplify]: iters left: 6 (9 enodes) 12.759 * * [simplify]: iters left: 5 (34 enodes) 12.771 * * [simplify]: iters left: 4 (74 enodes) 12.791 * * [simplify]: iters left: 3 (146 enodes) 12.825 * * [simplify]: iters left: 2 (206 enodes) 12.895 * * [simplify]: iters left: 1 (295 enodes) 12.984 * * [simplify]: Extracting #0: cost 1 inf + 0 12.984 * * [simplify]: Extracting #1: cost 49 inf + 0 12.984 * * [simplify]: Extracting #2: cost 103 inf + 123 12.985 * * [simplify]: Extracting #3: cost 82 inf + 3103 12.987 * * [simplify]: Extracting #4: cost 39 inf + 15197 12.991 * * [simplify]: Extracting #5: cost 6 inf + 30076 12.995 * * [simplify]: Extracting #6: cost 0 inf + 33438 12.999 * [simplify]: Simplified to (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2)))) 12.999 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (cbrt (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2))))) (* a2 a2)))) 12.999 * * * * [progress]: [ 6 / 203 ] simplifiying candidate # 12.999 * * * * [progress]: [ 7 / 203 ] simplifiying candidate # 12.999 * * * * [progress]: [ 8 / 203 ] simplifiying candidate # 12.999 * * * * [progress]: [ 9 / 203 ] simplifiying candidate # 12.999 * * * * [progress]: [ 10 / 203 ] simplifiying candidate # 13.000 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 13.000 * * [simplify]: iters left: 6 (9 enodes) 13.002 * * [simplify]: iters left: 5 (33 enodes) 13.008 * * [simplify]: iters left: 4 (48 enodes) 13.015 * * [simplify]: iters left: 3 (55 enodes) 13.023 * * [simplify]: iters left: 2 (58 enodes) 13.032 * * [simplify]: Extracting #0: cost 1 inf + 0 13.032 * * [simplify]: Extracting #1: cost 11 inf + 0 13.032 * * [simplify]: Extracting #2: cost 22 inf + 0 13.032 * * [simplify]: Extracting #3: cost 26 inf + 0 13.032 * * [simplify]: Extracting #4: cost 22 inf + 104 13.033 * * [simplify]: Extracting #5: cost 7 inf + 3466 13.037 * * [simplify]: Extracting #6: cost 0 inf + 5358 13.039 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 13.039 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 13.039 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) 13.039 * * [simplify]: iters left: 4 (7 enodes) 13.043 * * [simplify]: iters left: 3 (21 enodes) 13.050 * * [simplify]: Extracting #0: cost 1 inf + 0 13.050 * * [simplify]: Extracting #1: cost 4 inf + 0 13.050 * * [simplify]: Extracting #2: cost 8 inf + 0 13.050 * * [simplify]: Extracting #3: cost 12 inf + 0 13.050 * * [simplify]: Extracting #4: cost 10 inf + 2 13.051 * * [simplify]: Extracting #5: cost 4 inf + 448 13.051 * * [simplify]: Extracting #6: cost 1 inf + 1032 13.051 * * [simplify]: Extracting #7: cost 0 inf + 1334 13.051 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) 13.051 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 13.052 * * * * [progress]: [ 11 / 203 ] simplifiying candidate # 13.052 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 13.052 * * [simplify]: iters left: 6 (9 enodes) 13.057 * * [simplify]: iters left: 5 (30 enodes) 13.066 * * [simplify]: iters left: 4 (34 enodes) 13.077 * * [simplify]: iters left: 3 (37 enodes) 13.087 * * [simplify]: Extracting #0: cost 1 inf + 0 13.088 * * [simplify]: Extracting #1: cost 7 inf + 0 13.088 * * [simplify]: Extracting #2: cost 15 inf + 0 13.088 * * [simplify]: Extracting #3: cost 20 inf + 0 13.088 * * [simplify]: Extracting #4: cost 14 inf + 386 13.089 * * [simplify]: Extracting #5: cost 4 inf + 2139 13.089 * * [simplify]: Extracting #6: cost 0 inf + 3306 13.090 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 13.090 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 13.091 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt 2))) 13.091 * * [simplify]: iters left: 4 (7 enodes) 13.094 * * [simplify]: iters left: 3 (21 enodes) 13.101 * * [simplify]: Extracting #0: cost 1 inf + 0 13.101 * * [simplify]: Extracting #1: cost 4 inf + 0 13.101 * * [simplify]: Extracting #2: cost 8 inf + 0 13.101 * * [simplify]: Extracting #3: cost 12 inf + 0 13.101 * * [simplify]: Extracting #4: cost 10 inf + 2 13.101 * * [simplify]: Extracting #5: cost 4 inf + 528 13.101 * * [simplify]: Extracting #6: cost 1 inf + 1112 13.102 * * [simplify]: Extracting #7: cost 0 inf + 1414 13.102 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt 2))) 13.102 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 13.102 * * * * [progress]: [ 12 / 203 ] simplifiying candidate # 13.103 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 13.103 * * [simplify]: iters left: 6 (8 enodes) 13.107 * * [simplify]: iters left: 5 (26 enodes) 13.115 * * [simplify]: iters left: 4 (30 enodes) 13.125 * * [simplify]: iters left: 3 (33 enodes) 13.132 * * [simplify]: Extracting #0: cost 1 inf + 0 13.132 * * [simplify]: Extracting #1: cost 7 inf + 0 13.132 * * [simplify]: Extracting #2: cost 14 inf + 0 13.133 * * [simplify]: Extracting #3: cost 18 inf + 0 13.133 * * [simplify]: Extracting #4: cost 15 inf + 43 13.133 * * [simplify]: Extracting #5: cost 11 inf + 307 13.133 * * [simplify]: Extracting #6: cost 2 inf + 2181 13.133 * * [simplify]: Extracting #7: cost 0 inf + 2664 13.134 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 13.134 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.134 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 13.134 * * [simplify]: iters left: 4 (7 enodes) 13.136 * * [simplify]: iters left: 3 (21 enodes) 13.139 * * [simplify]: Extracting #0: cost 1 inf + 0 13.139 * * [simplify]: Extracting #1: cost 4 inf + 0 13.139 * * [simplify]: Extracting #2: cost 8 inf + 0 13.139 * * [simplify]: Extracting #3: cost 12 inf + 0 13.139 * * [simplify]: Extracting #4: cost 10 inf + 2 13.139 * * [simplify]: Extracting #5: cost 4 inf + 368 13.139 * * [simplify]: Extracting #6: cost 1 inf + 912 13.140 * * [simplify]: Extracting #7: cost 0 inf + 1174 13.140 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 13.140 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.140 * * * * [progress]: [ 13 / 203 ] simplifiying candidate # 13.140 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 13.140 * * [simplify]: iters left: 6 (7 enodes) 13.142 * * [simplify]: iters left: 5 (25 enodes) 13.146 * * [simplify]: iters left: 4 (31 enodes) 13.150 * * [simplify]: iters left: 3 (35 enodes) 13.155 * * [simplify]: iters left: 2 (36 enodes) 13.159 * * [simplify]: Extracting #0: cost 1 inf + 0 13.159 * * [simplify]: Extracting #1: cost 5 inf + 0 13.159 * * [simplify]: Extracting #2: cost 7 inf + 1 13.159 * * [simplify]: Extracting #3: cost 9 inf + 1 13.159 * * [simplify]: Extracting #4: cost 8 inf + 2 13.160 * * [simplify]: Extracting #5: cost 1 inf + 951 13.160 * * [simplify]: Extracting #6: cost 0 inf + 1132 13.160 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 13.160 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.160 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 13.160 * * [simplify]: iters left: 4 (6 enodes) 13.162 * * [simplify]: iters left: 3 (18 enodes) 13.170 * * [simplify]: Extracting #0: cost 1 inf + 0 13.170 * * [simplify]: Extracting #1: cost 4 inf + 0 13.170 * * [simplify]: Extracting #2: cost 8 inf + 0 13.170 * * [simplify]: Extracting #3: cost 7 inf + 83 13.170 * * [simplify]: Extracting #4: cost 6 inf + 84 13.170 * * [simplify]: Extracting #5: cost 0 inf + 932 13.171 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 13.171 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.171 * * * * [progress]: [ 14 / 203 ] simplifiying candidate # 13.171 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 13.171 * * [simplify]: iters left: 6 (8 enodes) 13.175 * * [simplify]: iters left: 5 (26 enodes) 13.184 * * [simplify]: iters left: 4 (30 enodes) 13.193 * * [simplify]: iters left: 3 (33 enodes) 13.203 * * [simplify]: Extracting #0: cost 1 inf + 0 13.203 * * [simplify]: Extracting #1: cost 7 inf + 0 13.203 * * [simplify]: Extracting #2: cost 14 inf + 0 13.203 * * [simplify]: Extracting #3: cost 18 inf + 0 13.203 * * [simplify]: Extracting #4: cost 15 inf + 43 13.203 * * [simplify]: Extracting #5: cost 11 inf + 307 13.204 * * [simplify]: Extracting #6: cost 2 inf + 2181 13.205 * * [simplify]: Extracting #7: cost 0 inf + 2664 13.205 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 13.205 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.206 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 13.206 * * [simplify]: iters left: 4 (7 enodes) 13.209 * * [simplify]: iters left: 3 (21 enodes) 13.216 * * [simplify]: Extracting #0: cost 1 inf + 0 13.216 * * [simplify]: Extracting #1: cost 4 inf + 0 13.216 * * [simplify]: Extracting #2: cost 8 inf + 0 13.216 * * [simplify]: Extracting #3: cost 12 inf + 0 13.216 * * [simplify]: Extracting #4: cost 10 inf + 2 13.216 * * [simplify]: Extracting #5: cost 4 inf + 368 13.216 * * [simplify]: Extracting #6: cost 1 inf + 912 13.217 * * [simplify]: Extracting #7: cost 0 inf + 1174 13.217 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 13.217 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.217 * * * * [progress]: [ 15 / 203 ] simplifiying candidate # 13.218 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 13.218 * * [simplify]: iters left: 6 (6 enodes) 13.221 * * [simplify]: iters left: 5 (20 enodes) 13.228 * * [simplify]: iters left: 4 (30 enodes) 13.236 * * [simplify]: iters left: 3 (31 enodes) 13.244 * * [simplify]: Extracting #0: cost 1 inf + 0 13.245 * * [simplify]: Extracting #1: cost 5 inf + 0 13.245 * * [simplify]: Extracting #2: cost 7 inf + 1 13.245 * * [simplify]: Extracting #3: cost 9 inf + 1 13.245 * * [simplify]: Extracting #4: cost 8 inf + 2 13.245 * * [simplify]: Extracting #5: cost 0 inf + 1132 13.245 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 13.245 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.246 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 13.246 * * [simplify]: iters left: 4 (6 enodes) 13.249 * * [simplify]: iters left: 3 (18 enodes) 13.255 * * [simplify]: Extracting #0: cost 1 inf + 0 13.255 * * [simplify]: Extracting #1: cost 4 inf + 0 13.255 * * [simplify]: Extracting #2: cost 8 inf + 0 13.255 * * [simplify]: Extracting #3: cost 7 inf + 83 13.255 * * [simplify]: Extracting #4: cost 6 inf + 84 13.255 * * [simplify]: Extracting #5: cost 0 inf + 932 13.256 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 13.256 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.256 * * * * [progress]: [ 16 / 203 ] simplifiying candidate # 13.256 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 13.256 * * [simplify]: iters left: 6 (8 enodes) 13.260 * * [simplify]: iters left: 5 (26 enodes) 13.268 * * [simplify]: iters left: 4 (28 enodes) 13.277 * * [simplify]: Extracting #0: cost 1 inf + 0 13.277 * * [simplify]: Extracting #1: cost 6 inf + 0 13.277 * * [simplify]: Extracting #2: cost 12 inf + 0 13.277 * * [simplify]: Extracting #3: cost 16 inf + 0 13.277 * * [simplify]: Extracting #4: cost 14 inf + 2 13.277 * * [simplify]: Extracting #5: cost 10 inf + 266 13.278 * * [simplify]: Extracting #6: cost 1 inf + 1798 13.278 * * [simplify]: Extracting #7: cost 0 inf + 2100 13.279 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 13.279 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 13.279 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) 13.279 * * [simplify]: iters left: 4 (7 enodes) 13.283 * * [simplify]: iters left: 3 (21 enodes) 13.289 * * [simplify]: Extracting #0: cost 1 inf + 0 13.289 * * [simplify]: Extracting #1: cost 4 inf + 0 13.289 * * [simplify]: Extracting #2: cost 8 inf + 0 13.289 * * [simplify]: Extracting #3: cost 12 inf + 0 13.289 * * [simplify]: Extracting #4: cost 10 inf + 2 13.289 * * [simplify]: Extracting #5: cost 4 inf + 448 13.290 * * [simplify]: Extracting #6: cost 1 inf + 912 13.290 * * [simplify]: Extracting #7: cost 0 inf + 1174 13.290 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 13.290 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 13.290 * * * * [progress]: [ 17 / 203 ] simplifiying candidate # 13.291 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 13.291 * * [simplify]: iters left: 6 (8 enodes) 13.294 * * [simplify]: iters left: 5 (25 enodes) 13.298 * * [simplify]: Extracting #0: cost 1 inf + 0 13.298 * * [simplify]: Extracting #1: cost 4 inf + 0 13.298 * * [simplify]: Extracting #2: cost 9 inf + 0 13.298 * * [simplify]: Extracting #3: cost 14 inf + 0 13.298 * * [simplify]: Extracting #4: cost 12 inf + 2 13.298 * * [simplify]: Extracting #5: cost 6 inf + 528 13.298 * * [simplify]: Extracting #6: cost 1 inf + 1234 13.299 * * [simplify]: Extracting #7: cost 0 inf + 1496 13.299 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 13.299 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 13.299 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt 2))) 13.299 * * [simplify]: iters left: 4 (7 enodes) 13.301 * * [simplify]: iters left: 3 (21 enodes) 13.304 * * [simplify]: Extracting #0: cost 1 inf + 0 13.304 * * [simplify]: Extracting #1: cost 4 inf + 0 13.304 * * [simplify]: Extracting #2: cost 8 inf + 0 13.304 * * [simplify]: Extracting #3: cost 12 inf + 0 13.304 * * [simplify]: Extracting #4: cost 10 inf + 2 13.305 * * [simplify]: Extracting #5: cost 4 inf + 528 13.305 * * [simplify]: Extracting #6: cost 1 inf + 992 13.305 * * [simplify]: Extracting #7: cost 0 inf + 1254 13.305 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt 2))) 13.305 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 13.305 * * * * [progress]: [ 18 / 203 ] simplifiying candidate # 13.305 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.305 * * [simplify]: iters left: 4 (7 enodes) 13.307 * * [simplify]: iters left: 3 (21 enodes) 13.315 * * [simplify]: Extracting #0: cost 1 inf + 0 13.315 * * [simplify]: Extracting #1: cost 4 inf + 0 13.315 * * [simplify]: Extracting #2: cost 8 inf + 0 13.315 * * [simplify]: Extracting #3: cost 12 inf + 0 13.315 * * [simplify]: Extracting #4: cost 10 inf + 2 13.315 * * [simplify]: Extracting #5: cost 4 inf + 368 13.315 * * [simplify]: Extracting #6: cost 1 inf + 792 13.316 * * [simplify]: Extracting #7: cost 0 inf + 1014 13.316 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.316 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.316 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.316 * * [simplify]: iters left: 4 (7 enodes) 13.320 * * [simplify]: iters left: 3 (21 enodes) 13.326 * * [simplify]: Extracting #0: cost 1 inf + 0 13.327 * * [simplify]: Extracting #1: cost 4 inf + 0 13.327 * * [simplify]: Extracting #2: cost 8 inf + 0 13.327 * * [simplify]: Extracting #3: cost 12 inf + 0 13.327 * * [simplify]: Extracting #4: cost 10 inf + 2 13.327 * * [simplify]: Extracting #5: cost 4 inf + 368 13.327 * * [simplify]: Extracting #6: cost 1 inf + 792 13.327 * * [simplify]: Extracting #7: cost 0 inf + 1014 13.328 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.328 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.328 * * * * [progress]: [ 19 / 203 ] simplifiying candidate # 13.328 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 13.328 * * [simplify]: iters left: 4 (6 enodes) 13.333 * * [simplify]: iters left: 3 (20 enodes) 13.338 * * [simplify]: iters left: 2 (22 enodes) 13.341 * * [simplify]: iters left: 1 (24 enodes) 13.344 * * [simplify]: Extracting #0: cost 1 inf + 0 13.344 * * [simplify]: Extracting #1: cost 4 inf + 0 13.344 * * [simplify]: Extracting #2: cost 5 inf + 1 13.344 * * [simplify]: Extracting #3: cost 4 inf + 2 13.345 * * [simplify]: Extracting #4: cost 0 inf + 326 13.345 * [simplify]: Simplified to (sqrt (cos th)) 13.345 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.345 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 13.345 * * [simplify]: iters left: 4 (6 enodes) 13.347 * * [simplify]: iters left: 3 (18 enodes) 13.349 * * [simplify]: Extracting #0: cost 1 inf + 0 13.350 * * [simplify]: Extracting #1: cost 4 inf + 0 13.350 * * [simplify]: Extracting #2: cost 8 inf + 0 13.350 * * [simplify]: Extracting #3: cost 7 inf + 83 13.350 * * [simplify]: Extracting #4: cost 6 inf + 84 13.350 * * [simplify]: Extracting #5: cost 0 inf + 772 13.350 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 13.350 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.351 * * * * [progress]: [ 20 / 203 ] simplifiying candidate # 13.351 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.351 * * [simplify]: iters left: 4 (7 enodes) 13.354 * * [simplify]: iters left: 3 (21 enodes) 13.361 * * [simplify]: Extracting #0: cost 1 inf + 0 13.361 * * [simplify]: Extracting #1: cost 4 inf + 0 13.361 * * [simplify]: Extracting #2: cost 8 inf + 0 13.361 * * [simplify]: Extracting #3: cost 12 inf + 0 13.361 * * [simplify]: Extracting #4: cost 10 inf + 2 13.362 * * [simplify]: Extracting #5: cost 4 inf + 368 13.362 * * [simplify]: Extracting #6: cost 1 inf + 792 13.362 * * [simplify]: Extracting #7: cost 0 inf + 1014 13.362 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.363 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.363 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.363 * * [simplify]: iters left: 4 (7 enodes) 13.367 * * [simplify]: iters left: 3 (21 enodes) 13.373 * * [simplify]: Extracting #0: cost 1 inf + 0 13.373 * * [simplify]: Extracting #1: cost 4 inf + 0 13.373 * * [simplify]: Extracting #2: cost 8 inf + 0 13.373 * * [simplify]: Extracting #3: cost 12 inf + 0 13.373 * * [simplify]: Extracting #4: cost 10 inf + 2 13.374 * * [simplify]: Extracting #5: cost 4 inf + 368 13.374 * * [simplify]: Extracting #6: cost 1 inf + 792 13.374 * * [simplify]: Extracting #7: cost 0 inf + 1014 13.374 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 13.374 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 13.375 * * * * [progress]: [ 21 / 203 ] simplifiying candidate # 13.375 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 13.375 * * [simplify]: iters left: 4 (5 enodes) 13.378 * * [simplify]: iters left: 3 (15 enodes) 13.382 * * [simplify]: iters left: 2 (17 enodes) 13.387 * * [simplify]: Extracting #0: cost 1 inf + 0 13.387 * * [simplify]: Extracting #1: cost 4 inf + 0 13.387 * * [simplify]: Extracting #2: cost 5 inf + 1 13.387 * * [simplify]: Extracting #3: cost 4 inf + 2 13.388 * * [simplify]: Extracting #4: cost 1 inf + 225 13.388 * * [simplify]: Extracting #5: cost 0 inf + 326 13.388 * [simplify]: Simplified to (sqrt (cos th)) 13.388 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.388 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 13.388 * * [simplify]: iters left: 4 (6 enodes) 13.392 * * [simplify]: iters left: 3 (18 enodes) 13.398 * * [simplify]: Extracting #0: cost 1 inf + 0 13.398 * * [simplify]: Extracting #1: cost 4 inf + 0 13.398 * * [simplify]: Extracting #2: cost 8 inf + 0 13.398 * * [simplify]: Extracting #3: cost 7 inf + 83 13.398 * * [simplify]: Extracting #4: cost 6 inf + 84 13.398 * * [simplify]: Extracting #5: cost 0 inf + 772 13.398 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 13.398 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 13.399 * * * * [progress]: [ 22 / 203 ] simplifiying candidate # 13.399 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 13.399 * * [simplify]: iters left: 6 (6 enodes) 13.403 * * [simplify]: iters left: 5 (22 enodes) 13.410 * * [simplify]: iters left: 4 (26 enodes) 13.419 * * [simplify]: Extracting #0: cost 1 inf + 0 13.419 * * [simplify]: Extracting #1: cost 6 inf + 0 13.419 * * [simplify]: Extracting #2: cost 9 inf + 1 13.419 * * [simplify]: Extracting #3: cost 11 inf + 1 13.420 * * [simplify]: Extracting #4: cost 8 inf + 84 13.420 * * [simplify]: Extracting #5: cost 2 inf + 1013 13.420 * * [simplify]: Extracting #6: cost 0 inf + 1376 13.421 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 13.421 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 13.421 * [simplify]: Simplifying (/ (cos th) (cbrt (sqrt 2))) 13.421 * * [simplify]: iters left: 4 (6 enodes) 13.424 * * [simplify]: iters left: 3 (18 enodes) 13.430 * * [simplify]: Extracting #0: cost 1 inf + 0 13.430 * * [simplify]: Extracting #1: cost 4 inf + 0 13.430 * * [simplify]: Extracting #2: cost 8 inf + 0 13.430 * * [simplify]: Extracting #3: cost 9 inf + 1 13.431 * * [simplify]: Extracting #4: cost 0 inf + 892 13.431 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 13.431 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 13.431 * * * * [progress]: [ 23 / 203 ] simplifiying candidate # 13.431 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 13.431 * * [simplify]: iters left: 6 (6 enodes) 13.435 * * [simplify]: iters left: 5 (21 enodes) 13.442 * * [simplify]: iters left: 4 (23 enodes) 13.449 * * [simplify]: Extracting #0: cost 1 inf + 0 13.449 * * [simplify]: Extracting #1: cost 4 inf + 0 13.450 * * [simplify]: Extracting #2: cost 6 inf + 1 13.450 * * [simplify]: Extracting #3: cost 9 inf + 1 13.450 * * [simplify]: Extracting #4: cost 8 inf + 2 13.450 * * [simplify]: Extracting #5: cost 1 inf + 810 13.450 * * [simplify]: Extracting #6: cost 0 inf + 972 13.450 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 13.450 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 13.451 * [simplify]: Simplifying (/ (cos th) (sqrt (cbrt 2))) 13.451 * * [simplify]: iters left: 4 (6 enodes) 13.454 * * [simplify]: iters left: 3 (18 enodes) 13.459 * * [simplify]: Extracting #0: cost 1 inf + 0 13.459 * * [simplify]: Extracting #1: cost 4 inf + 0 13.459 * * [simplify]: Extracting #2: cost 8 inf + 0 13.459 * * [simplify]: Extracting #3: cost 9 inf + 1 13.459 * * [simplify]: Extracting #4: cost 0 inf + 972 13.459 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt 2))) 13.459 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 13.459 * * * * [progress]: [ 24 / 203 ] simplifiying candidate # 13.459 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 13.459 * * [simplify]: iters left: 4 (5 enodes) 13.461 * * [simplify]: iters left: 3 (17 enodes) 13.464 * * [simplify]: iters left: 2 (19 enodes) 13.467 * * [simplify]: Extracting #0: cost 1 inf + 0 13.468 * * [simplify]: Extracting #1: cost 4 inf + 0 13.468 * * [simplify]: Extracting #2: cost 5 inf + 1 13.468 * * [simplify]: Extracting #3: cost 7 inf + 1 13.468 * * [simplify]: Extracting #4: cost 0 inf + 490 13.468 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 13.468 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 13.468 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 13.468 * * [simplify]: iters left: 4 (6 enodes) 13.470 * * [simplify]: iters left: 3 (18 enodes) 13.472 * * [simplify]: Extracting #0: cost 1 inf + 0 13.472 * * [simplify]: Extracting #1: cost 4 inf + 0 13.473 * * [simplify]: Extracting #2: cost 8 inf + 0 13.473 * * [simplify]: Extracting #3: cost 9 inf + 1 13.473 * * [simplify]: Extracting #4: cost 0 inf + 732 13.473 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 13.473 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 13.473 * * * * [progress]: [ 25 / 203 ] simplifiying candidate # 13.473 * [simplify]: Simplifying (/ 1 (sqrt 1)) 13.473 * * [simplify]: iters left: 3 (3 enodes) 13.476 * * [simplify]: iters left: 2 (11 enodes) 13.478 * * [simplify]: iters left: 1 (13 enodes) 13.480 * * [simplify]: Extracting #0: cost 1 inf + 0 13.480 * * [simplify]: Extracting #1: cost 0 inf + 1 13.480 * [simplify]: Simplified to 1 13.480 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 13.480 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 13.480 * * [simplify]: iters left: 3 (5 enodes) 13.482 * * [simplify]: iters left: 2 (15 enodes) 13.487 * * [simplify]: Extracting #0: cost 1 inf + 0 13.487 * * [simplify]: Extracting #1: cost 4 inf + 0 13.487 * * [simplify]: Extracting #2: cost 8 inf + 0 13.487 * * [simplify]: Extracting #3: cost 4 inf + 84 13.487 * * [simplify]: Extracting #4: cost 0 inf + 490 13.487 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 13.487 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 13.487 * * * * [progress]: [ 26 / 203 ] simplifiying candidate # 13.488 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 13.488 * * [simplify]: iters left: 4 (5 enodes) 13.491 * * [simplify]: iters left: 3 (17 enodes) 13.497 * * [simplify]: iters left: 2 (19 enodes) 13.501 * * [simplify]: Extracting #0: cost 1 inf + 0 13.501 * * [simplify]: Extracting #1: cost 4 inf + 0 13.501 * * [simplify]: Extracting #2: cost 5 inf + 1 13.501 * * [simplify]: Extracting #3: cost 7 inf + 1 13.501 * * [simplify]: Extracting #4: cost 0 inf + 490 13.501 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 13.501 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 13.501 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 13.501 * * [simplify]: iters left: 4 (6 enodes) 13.503 * * [simplify]: iters left: 3 (18 enodes) 13.506 * * [simplify]: Extracting #0: cost 1 inf + 0 13.506 * * [simplify]: Extracting #1: cost 4 inf + 0 13.506 * * [simplify]: Extracting #2: cost 8 inf + 0 13.506 * * [simplify]: Extracting #3: cost 9 inf + 1 13.506 * * [simplify]: Extracting #4: cost 0 inf + 732 13.506 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 13.506 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 13.506 * * * * [progress]: [ 27 / 203 ] simplifiying candidate # 13.507 * [simplify]: Simplifying (/ 1 1) 13.507 * * [simplify]: iters left: 2 (2 enodes) 13.507 * * [simplify]: iters left: 1 (6 enodes) 13.509 * * [simplify]: Extracting #0: cost 1 inf + 0 13.509 * * [simplify]: Extracting #1: cost 0 inf + 1 13.509 * [simplify]: Simplified to 1 13.509 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 13.509 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 13.509 * * [simplify]: iters left: 3 (5 enodes) 13.510 * * [simplify]: iters left: 2 (15 enodes) 13.513 * * [simplify]: Extracting #0: cost 1 inf + 0 13.513 * * [simplify]: Extracting #1: cost 4 inf + 0 13.513 * * [simplify]: Extracting #2: cost 8 inf + 0 13.513 * * [simplify]: Extracting #3: cost 4 inf + 84 13.513 * * [simplify]: Extracting #4: cost 0 inf + 490 13.513 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 13.513 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 13.513 * * * * [progress]: [ 28 / 203 ] simplifiying candidate # 13.513 * * * * [progress]: [ 29 / 203 ] simplifiying candidate # 13.513 * * * * [progress]: [ 30 / 203 ] simplifiying candidate # 13.513 * * * * [progress]: [ 31 / 203 ] simplifiying candidate # 13.514 * [simplify]: Simplifying (cbrt (sqrt 2)) 13.514 * * [simplify]: iters left: 2 (3 enodes) 13.515 * * [simplify]: iters left: 1 (9 enodes) 13.516 * * [simplify]: Extracting #0: cost 1 inf + 0 13.516 * * [simplify]: Extracting #1: cost 3 inf + 0 13.517 * * [simplify]: Extracting #2: cost 5 inf + 0 13.517 * * [simplify]: Extracting #3: cost 4 inf + 1 13.517 * * [simplify]: Extracting #4: cost 0 inf + 325 13.517 * [simplify]: Simplified to (cbrt (sqrt 2)) 13.517 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2)))) 13.517 * * * * [progress]: [ 32 / 203 ] simplifiying candidate # 13.517 * [simplify]: Simplifying (sqrt (cbrt 2)) 13.517 * * [simplify]: iters left: 2 (3 enodes) 13.518 * * [simplify]: iters left: 1 (9 enodes) 13.520 * * [simplify]: Extracting #0: cost 1 inf + 0 13.520 * * [simplify]: Extracting #1: cost 3 inf + 0 13.520 * * [simplify]: Extracting #2: cost 5 inf + 0 13.520 * * [simplify]: Extracting #3: cost 4 inf + 1 13.520 * * [simplify]: Extracting #4: cost 0 inf + 405 13.520 * [simplify]: Simplified to (sqrt (cbrt 2)) 13.520 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (* a2 a2)))) 13.520 * * * * [progress]: [ 33 / 203 ] simplifiying candidate # 13.520 * [simplify]: Simplifying (sqrt (sqrt 2)) 13.520 * * [simplify]: iters left: 2 (3 enodes) 13.521 * * [simplify]: iters left: 1 (9 enodes) 13.523 * * [simplify]: Extracting #0: cost 1 inf + 0 13.523 * * [simplify]: Extracting #1: cost 3 inf + 0 13.523 * * [simplify]: Extracting #2: cost 5 inf + 0 13.523 * * [simplify]: Extracting #3: cost 4 inf + 1 13.523 * * [simplify]: Extracting #4: cost 0 inf + 245 13.523 * [simplify]: Simplified to (sqrt (sqrt 2)) 13.523 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 13.523 * * * * [progress]: [ 34 / 203 ] simplifiying candidate # 13.524 * [simplify]: Simplifying (sqrt 2) 13.524 * * [simplify]: iters left: 1 (2 enodes) 13.525 * * [simplify]: Extracting #0: cost 1 inf + 0 13.525 * * [simplify]: Extracting #1: cost 3 inf + 0 13.525 * * [simplify]: Extracting #2: cost 2 inf + 1 13.525 * * [simplify]: Extracting #3: cost 0 inf + 83 13.525 * [simplify]: Simplified to (sqrt 2) 13.525 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) (sqrt 1)) (sqrt 2)) (* a2 a2)))) 13.525 * * * * [progress]: [ 35 / 203 ] simplifiying candidate # 13.525 * [simplify]: Simplifying (sqrt (sqrt 2)) 13.525 * * [simplify]: iters left: 2 (3 enodes) 13.526 * * [simplify]: iters left: 1 (9 enodes) 13.528 * * [simplify]: Extracting #0: cost 1 inf + 0 13.528 * * [simplify]: Extracting #1: cost 3 inf + 0 13.528 * * [simplify]: Extracting #2: cost 5 inf + 0 13.528 * * [simplify]: Extracting #3: cost 4 inf + 1 13.528 * * [simplify]: Extracting #4: cost 0 inf + 245 13.528 * [simplify]: Simplified to (sqrt (sqrt 2)) 13.528 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 13.528 * * * * [progress]: [ 36 / 203 ] simplifiying candidate # 13.528 * [simplify]: Simplifying (sqrt 2) 13.528 * * [simplify]: iters left: 1 (2 enodes) 13.529 * * [simplify]: Extracting #0: cost 1 inf + 0 13.529 * * [simplify]: Extracting #1: cost 3 inf + 0 13.529 * * [simplify]: Extracting #2: cost 2 inf + 1 13.529 * * [simplify]: Extracting #3: cost 0 inf + 83 13.529 * [simplify]: Simplified to (sqrt 2) 13.529 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2)))) 13.529 * * * * [progress]: [ 37 / 203 ] simplifiying candidate # 13.530 * [simplify]: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) 13.530 * * [simplify]: iters left: 4 (4 enodes) 13.530 * * [simplify]: iters left: 3 (12 enodes) 13.532 * * [simplify]: Extracting #0: cost 1 inf + 0 13.532 * * [simplify]: Extracting #1: cost 3 inf + 0 13.532 * * [simplify]: Extracting #2: cost 5 inf + 0 13.532 * * [simplify]: Extracting #3: cost 7 inf + 0 13.532 * * [simplify]: Extracting #4: cost 6 inf + 1 13.532 * * [simplify]: Extracting #5: cost 0 inf + 767 13.532 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 13.532 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2)))) 13.532 * * * * [progress]: [ 38 / 203 ] simplifiying candidate # 13.533 * [simplify]: Simplifying (sqrt (cos th)) 13.533 * * [simplify]: iters left: 2 (3 enodes) 13.533 * * [simplify]: iters left: 1 (9 enodes) 13.534 * * [simplify]: Extracting #0: cost 1 inf + 0 13.534 * * [simplify]: Extracting #1: cost 3 inf + 0 13.534 * * [simplify]: Extracting #2: cost 5 inf + 0 13.534 * * [simplify]: Extracting #3: cost 4 inf + 1 13.534 * * [simplify]: Extracting #4: cost 0 inf + 325 13.535 * [simplify]: Simplified to (sqrt (cos th)) 13.535 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2)))) 13.535 * * * * [progress]: [ 39 / 203 ] simplifiying candidate # 13.535 * * * * [progress]: [ 40 / 203 ] simplifiying candidate #real (real->posit16 (/ (cos th) (sqrt 2)))) (* a2 a2))))> 13.535 * * * * [progress]: [ 41 / 203 ] simplifiying candidate # 13.535 * * * * [progress]: [ 42 / 203 ] simplifiying candidate # 13.535 * [simplify]: Simplifying (- (log (sqrt 2)) (log a1)) 13.535 * * [simplify]: iters left: 4 (6 enodes) 13.537 * * [simplify]: iters left: 3 (20 enodes) 13.540 * * [simplify]: iters left: 2 (23 enodes) 13.546 * * [simplify]: Extracting #0: cost 1 inf + 0 13.546 * * [simplify]: Extracting #1: cost 5 inf + 0 13.546 * * [simplify]: Extracting #2: cost 10 inf + 0 13.546 * * [simplify]: Extracting #3: cost 7 inf + 365 13.547 * * [simplify]: Extracting #4: cost 6 inf + 366 13.547 * * [simplify]: Extracting #5: cost 0 inf + 1114 13.547 * [simplify]: Simplified to (- (log (sqrt 2)) (log a1)) 13.547 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (exp (- (log (sqrt 2)) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.547 * * * * [progress]: [ 43 / 203 ] simplifiying candidate # 13.547 * * * * [progress]: [ 44 / 203 ] simplifiying candidate # 13.547 * * * * [progress]: [ 45 / 203 ] simplifiying candidate # 13.548 * [simplify]: Simplifying (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* a1 a1) a1)) 13.548 * * [simplify]: iters left: 6 (8 enodes) 13.552 * * [simplify]: iters left: 5 (31 enodes) 13.565 * * [simplify]: iters left: 4 (71 enodes) 13.587 * * [simplify]: iters left: 3 (133 enodes) 13.627 * * [simplify]: iters left: 2 (198 enodes) 13.704 * * [simplify]: iters left: 1 (284 enodes) 13.803 * * [simplify]: Extracting #0: cost 1 inf + 0 13.803 * * [simplify]: Extracting #1: cost 40 inf + 0 13.806 * * [simplify]: Extracting #2: cost 93 inf + 412 13.808 * * [simplify]: Extracting #3: cost 63 inf + 3987 13.813 * * [simplify]: Extracting #4: cost 22 inf + 17343 13.817 * * [simplify]: Extracting #5: cost 0 inf + 27019 13.820 * * [simplify]: Extracting #6: cost 0 inf + 26488 13.823 * [simplify]: Simplified to (* (/ 2 a1) (/ (sqrt 2) (* a1 a1))) 13.824 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (cbrt (* (/ 2 a1) (/ (sqrt 2) (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.824 * * * * [progress]: [ 46 / 203 ] simplifiying candidate # 13.824 * * * * [progress]: [ 47 / 203 ] simplifiying candidate # 13.824 * * * * [progress]: [ 48 / 203 ] simplifiying candidate # 13.824 * * * * [progress]: [ 49 / 203 ] simplifiying candidate # 13.824 * * * * [progress]: [ 50 / 203 ] simplifiying candidate # 13.824 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 13.824 * * [simplify]: iters left: 6 (8 enodes) 13.827 * * [simplify]: iters left: 5 (30 enodes) 13.832 * * [simplify]: iters left: 4 (45 enodes) 13.839 * * [simplify]: iters left: 3 (52 enodes) 13.846 * * [simplify]: iters left: 2 (55 enodes) 13.854 * * [simplify]: Extracting #0: cost 1 inf + 0 13.854 * * [simplify]: Extracting #1: cost 11 inf + 0 13.854 * * [simplify]: Extracting #2: cost 22 inf + 0 13.854 * * [simplify]: Extracting #3: cost 22 inf + 82 13.854 * * [simplify]: Extracting #4: cost 17 inf + 447 13.854 * * [simplify]: Extracting #5: cost 5 inf + 3107 13.855 * * [simplify]: Extracting #6: cost 0 inf + 4276 13.856 * [simplify]: Simplified to (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 13.856 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.856 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 13.856 * * [simplify]: iters left: 4 (6 enodes) 13.858 * * [simplify]: iters left: 3 (18 enodes) 13.861 * * [simplify]: Extracting #0: cost 1 inf + 0 13.861 * * [simplify]: Extracting #1: cost 4 inf + 0 13.861 * * [simplify]: Extracting #2: cost 8 inf + 0 13.861 * * [simplify]: Extracting #3: cost 7 inf + 163 13.861 * * [simplify]: Extracting #4: cost 6 inf + 164 13.861 * * [simplify]: Extracting #5: cost 0 inf + 972 13.861 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 13.861 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.861 * * * * [progress]: [ 51 / 203 ] simplifiying candidate # 13.861 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1)) 13.861 * * [simplify]: iters left: 6 (7 enodes) 13.864 * * [simplify]: iters left: 5 (23 enodes) 13.867 * * [simplify]: iters left: 4 (27 enodes) 13.872 * * [simplify]: iters left: 3 (30 enodes) 13.876 * * [simplify]: Extracting #0: cost 1 inf + 0 13.876 * * [simplify]: Extracting #1: cost 7 inf + 0 13.876 * * [simplify]: Extracting #2: cost 14 inf + 0 13.876 * * [simplify]: Extracting #3: cost 14 inf + 42 13.876 * * [simplify]: Extracting #4: cost 12 inf + 84 13.876 * * [simplify]: Extracting #5: cost 10 inf + 166 13.877 * * [simplify]: Extracting #6: cost 3 inf + 1336 13.877 * * [simplify]: Extracting #7: cost 1 inf + 1780 13.877 * * [simplify]: Extracting #8: cost 0 inf + 2022 13.878 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt 2)))) 13.878 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.878 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 13.878 * * [simplify]: iters left: 4 (6 enodes) 13.880 * * [simplify]: iters left: 3 (18 enodes) 13.883 * * [simplify]: Extracting #0: cost 1 inf + 0 13.883 * * [simplify]: Extracting #1: cost 4 inf + 0 13.883 * * [simplify]: Extracting #2: cost 8 inf + 0 13.883 * * [simplify]: Extracting #3: cost 7 inf + 83 13.883 * * [simplify]: Extracting #4: cost 6 inf + 84 13.884 * * [simplify]: Extracting #5: cost 0 inf + 812 13.884 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 13.884 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.884 * * * * [progress]: [ 52 / 203 ] simplifiying candidate # 13.884 * [simplify]: Simplifying (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) 13.884 * * [simplify]: iters left: 6 (6 enodes) 13.886 * * [simplify]: iters left: 5 (20 enodes) 13.894 * * [simplify]: iters left: 4 (30 enodes) 13.903 * * [simplify]: iters left: 3 (31 enodes) 13.912 * * [simplify]: Extracting #0: cost 1 inf + 0 13.912 * * [simplify]: Extracting #1: cost 5 inf + 0 13.912 * * [simplify]: Extracting #2: cost 7 inf + 1 13.913 * * [simplify]: Extracting #3: cost 9 inf + 1 13.913 * * [simplify]: Extracting #4: cost 8 inf + 2 13.913 * * [simplify]: Extracting #5: cost 0 inf + 972 13.913 * [simplify]: Simplified to (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 13.913 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.914 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 13.914 * * [simplify]: iters left: 4 (5 enodes) 13.917 * * [simplify]: iters left: 3 (15 enodes) 13.922 * * [simplify]: Extracting #0: cost 1 inf + 0 13.922 * * [simplify]: Extracting #1: cost 4 inf + 0 13.922 * * [simplify]: Extracting #2: cost 5 inf + 1 13.922 * * [simplify]: Extracting #3: cost 7 inf + 1 13.922 * * [simplify]: Extracting #4: cost 6 inf + 2 13.922 * * [simplify]: Extracting #5: cost 0 inf + 650 13.922 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 13.923 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.923 * * * * [progress]: [ 53 / 203 ] simplifiying candidate # 13.923 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt a1) (cbrt a1))) 13.923 * * [simplify]: iters left: 6 (8 enodes) 13.928 * * [simplify]: iters left: 5 (27 enodes) 13.937 * * [simplify]: iters left: 4 (29 enodes) 13.946 * * [simplify]: Extracting #0: cost 1 inf + 0 13.946 * * [simplify]: Extracting #1: cost 6 inf + 0 13.946 * * [simplify]: Extracting #2: cost 13 inf + 0 13.946 * * [simplify]: Extracting #3: cost 14 inf + 82 13.946 * * [simplify]: Extracting #4: cost 11 inf + 285 13.947 * * [simplify]: Extracting #5: cost 4 inf + 1334 13.947 * * [simplify]: Extracting #6: cost 0 inf + 2100 13.947 * [simplify]: Simplified to (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1))) 13.948 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (cbrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.948 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (cbrt a1)) 13.948 * * [simplify]: iters left: 4 (6 enodes) 13.951 * * [simplify]: iters left: 3 (18 enodes) 13.957 * * [simplify]: Extracting #0: cost 1 inf + 0 13.957 * * [simplify]: Extracting #1: cost 4 inf + 0 13.957 * * [simplify]: Extracting #2: cost 8 inf + 0 13.957 * * [simplify]: Extracting #3: cost 7 inf + 163 13.957 * * [simplify]: Extracting #4: cost 6 inf + 164 13.957 * * [simplify]: Extracting #5: cost 0 inf + 1052 13.957 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (cbrt a1)) 13.958 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (cbrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.958 * * * * [progress]: [ 54 / 203 ] simplifiying candidate # 13.958 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt a1)) 13.958 * * [simplify]: iters left: 6 (7 enodes) 13.962 * * [simplify]: iters left: 5 (22 enodes) 13.969 * * [simplify]: Extracting #0: cost 1 inf + 0 13.969 * * [simplify]: Extracting #1: cost 4 inf + 0 13.969 * * [simplify]: Extracting #2: cost 9 inf + 0 13.969 * * [simplify]: Extracting #3: cost 9 inf + 83 13.969 * * [simplify]: Extracting #4: cost 8 inf + 84 13.969 * * [simplify]: Extracting #5: cost 1 inf + 932 13.970 * * [simplify]: Extracting #6: cost 0 inf + 1134 13.970 * [simplify]: Simplified to (/ (fabs (cbrt 2)) (sqrt a1)) 13.970 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (fabs (cbrt 2)) (sqrt a1)) (/ (sqrt (cbrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.970 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (sqrt a1)) 13.970 * * [simplify]: iters left: 4 (6 enodes) 13.974 * * [simplify]: iters left: 3 (18 enodes) 13.980 * * [simplify]: Extracting #0: cost 1 inf + 0 13.980 * * [simplify]: Extracting #1: cost 4 inf + 0 13.980 * * [simplify]: Extracting #2: cost 8 inf + 0 13.980 * * [simplify]: Extracting #3: cost 7 inf + 83 13.980 * * [simplify]: Extracting #4: cost 6 inf + 84 13.980 * * [simplify]: Extracting #5: cost 0 inf + 892 13.980 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (sqrt a1)) 13.981 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (fabs (cbrt 2)) (sqrt a1)) (/ (sqrt (cbrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 13.981 * * * * [progress]: [ 55 / 203 ] simplifiying candidate # 13.981 * [simplify]: Simplifying (/ (sqrt (* (cbrt 2) (cbrt 2))) 1) 13.981 * * [simplify]: iters left: 6 (6 enodes) 13.985 * * [simplify]: iters left: 5 (19 enodes) 13.992 * * [simplify]: iters left: 4 (23 enodes) 13.999 * * [simplify]: Extracting #0: cost 1 inf + 0 13.999 * * [simplify]: Extracting #1: cost 5 inf + 0 13.999 * * [simplify]: Extracting #2: cost 7 inf + 1 13.999 * * [simplify]: Extracting #3: cost 6 inf + 2 13.999 * * [simplify]: Extracting #4: cost 0 inf + 648 14.000 * [simplify]: Simplified to (fabs (cbrt 2)) 14.000 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (fabs (cbrt 2)) (/ (sqrt (cbrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.000 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) a1) 14.000 * * [simplify]: iters left: 4 (5 enodes) 14.003 * * [simplify]: iters left: 3 (15 enodes) 14.008 * * [simplify]: Extracting #0: cost 1 inf + 0 14.008 * * [simplify]: Extracting #1: cost 4 inf + 0 14.008 * * [simplify]: Extracting #2: cost 5 inf + 1 14.008 * * [simplify]: Extracting #3: cost 7 inf + 1 14.008 * * [simplify]: Extracting #4: cost 6 inf + 2 14.008 * * [simplify]: Extracting #5: cost 0 inf + 730 14.008 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) a1) 14.008 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (fabs (cbrt 2)) (/ (sqrt (cbrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.009 * * * * [progress]: [ 56 / 203 ] simplifiying candidate # 14.009 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) 14.009 * * [simplify]: iters left: 5 (7 enodes) 14.013 * * [simplify]: iters left: 4 (23 enodes) 14.021 * * [simplify]: iters left: 3 (25 enodes) 14.028 * * [simplify]: Extracting #0: cost 1 inf + 0 14.028 * * [simplify]: Extracting #1: cost 6 inf + 0 14.029 * * [simplify]: Extracting #2: cost 12 inf + 0 14.029 * * [simplify]: Extracting #3: cost 13 inf + 1 14.029 * * [simplify]: Extracting #4: cost 9 inf + 285 14.029 * * [simplify]: Extracting #5: cost 6 inf + 488 14.029 * * [simplify]: Extracting #6: cost 2 inf + 1094 14.030 * * [simplify]: Extracting #7: cost 0 inf + 1538 14.030 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) 14.030 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.031 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt a1)) 14.031 * * [simplify]: iters left: 4 (6 enodes) 14.034 * * [simplify]: iters left: 3 (18 enodes) 14.040 * * [simplify]: Extracting #0: cost 1 inf + 0 14.040 * * [simplify]: Extracting #1: cost 4 inf + 0 14.040 * * [simplify]: Extracting #2: cost 8 inf + 0 14.040 * * [simplify]: Extracting #3: cost 7 inf + 163 14.040 * * [simplify]: Extracting #4: cost 6 inf + 164 14.040 * * [simplify]: Extracting #5: cost 0 inf + 812 14.040 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt a1)) 14.040 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.041 * * * * [progress]: [ 57 / 203 ] simplifiying candidate # 14.041 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 14.041 * * [simplify]: iters left: 4 (6 enodes) 14.044 * * [simplify]: iters left: 3 (18 enodes) 14.052 * * [simplify]: Extracting #0: cost 1 inf + 0 14.052 * * [simplify]: Extracting #1: cost 4 inf + 0 14.052 * * [simplify]: Extracting #2: cost 8 inf + 0 14.052 * * [simplify]: Extracting #3: cost 7 inf + 83 14.052 * * [simplify]: Extracting #4: cost 6 inf + 84 14.052 * * [simplify]: Extracting #5: cost 0 inf + 652 14.053 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 14.053 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (sqrt a1)) (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.053 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 14.053 * * [simplify]: iters left: 4 (6 enodes) 14.057 * * [simplify]: iters left: 3 (18 enodes) 14.063 * * [simplify]: Extracting #0: cost 1 inf + 0 14.063 * * [simplify]: Extracting #1: cost 4 inf + 0 14.063 * * [simplify]: Extracting #2: cost 8 inf + 0 14.063 * * [simplify]: Extracting #3: cost 7 inf + 83 14.063 * * [simplify]: Extracting #4: cost 6 inf + 84 14.063 * * [simplify]: Extracting #5: cost 0 inf + 652 14.063 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 14.063 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (sqrt a1)) (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.064 * * * * [progress]: [ 58 / 203 ] simplifiying candidate # 14.064 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 14.064 * * [simplify]: iters left: 4 (5 enodes) 14.067 * * [simplify]: iters left: 3 (15 enodes) 14.072 * * [simplify]: iters left: 2 (17 enodes) 14.078 * * [simplify]: Extracting #0: cost 1 inf + 0 14.078 * * [simplify]: Extracting #1: cost 4 inf + 0 14.078 * * [simplify]: Extracting #2: cost 5 inf + 1 14.078 * * [simplify]: Extracting #3: cost 4 inf + 2 14.078 * * [simplify]: Extracting #4: cost 1 inf + 165 14.078 * * [simplify]: Extracting #5: cost 0 inf + 246 14.079 * [simplify]: Simplified to (sqrt (sqrt 2)) 14.079 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.079 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) a1) 14.079 * * [simplify]: iters left: 4 (5 enodes) 14.082 * * [simplify]: iters left: 3 (15 enodes) 14.087 * * [simplify]: Extracting #0: cost 1 inf + 0 14.087 * * [simplify]: Extracting #1: cost 4 inf + 0 14.087 * * [simplify]: Extracting #2: cost 5 inf + 1 14.087 * * [simplify]: Extracting #3: cost 7 inf + 1 14.087 * * [simplify]: Extracting #4: cost 6 inf + 2 14.087 * * [simplify]: Extracting #5: cost 0 inf + 490 14.087 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) a1) 14.087 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.087 * * * * [progress]: [ 59 / 203 ] simplifiying candidate # 14.088 * [simplify]: Simplifying (/ (sqrt 1) (* (cbrt a1) (cbrt a1))) 14.088 * * [simplify]: iters left: 5 (6 enodes) 14.092 * * [simplify]: iters left: 4 (22 enodes) 14.099 * * [simplify]: iters left: 3 (29 enodes) 14.106 * * [simplify]: iters left: 2 (31 enodes) 14.114 * * [simplify]: Extracting #0: cost 1 inf + 0 14.114 * * [simplify]: Extracting #1: cost 7 inf + 0 14.114 * * [simplify]: Extracting #2: cost 11 inf + 1 14.114 * * [simplify]: Extracting #3: cost 10 inf + 2 14.115 * * [simplify]: Extracting #4: cost 2 inf + 935 14.115 * * [simplify]: Extracting #5: cost 0 inf + 1218 14.115 * [simplify]: Simplified to (/ 1 (* (cbrt a1) (cbrt a1))) 14.115 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.116 * [simplify]: Simplifying (/ (sqrt 2) (cbrt a1)) 14.116 * * [simplify]: iters left: 3 (5 enodes) 14.119 * * [simplify]: iters left: 2 (15 enodes) 14.123 * * [simplify]: Extracting #0: cost 1 inf + 0 14.123 * * [simplify]: Extracting #1: cost 4 inf + 0 14.123 * * [simplify]: Extracting #2: cost 8 inf + 0 14.123 * * [simplify]: Extracting #3: cost 4 inf + 164 14.124 * * [simplify]: Extracting #4: cost 0 inf + 570 14.124 * [simplify]: Simplified to (/ (sqrt 2) (cbrt a1)) 14.124 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.124 * * * * [progress]: [ 60 / 203 ] simplifiying candidate # 14.124 * [simplify]: Simplifying (/ (sqrt 1) (sqrt a1)) 14.124 * * [simplify]: iters left: 3 (5 enodes) 14.129 * * [simplify]: iters left: 2 (17 enodes) 14.134 * * [simplify]: iters left: 1 (19 enodes) 14.139 * * [simplify]: Extracting #0: cost 1 inf + 0 14.139 * * [simplify]: Extracting #1: cost 4 inf + 0 14.139 * * [simplify]: Extracting #2: cost 5 inf + 1 14.139 * * [simplify]: Extracting #3: cost 0 inf + 248 14.140 * [simplify]: Simplified to (/ 1 (sqrt a1)) 14.140 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (sqrt a1)) (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.140 * [simplify]: Simplifying (/ (sqrt 2) (sqrt a1)) 14.140 * * [simplify]: iters left: 3 (5 enodes) 14.143 * * [simplify]: iters left: 2 (15 enodes) 14.148 * * [simplify]: Extracting #0: cost 1 inf + 0 14.148 * * [simplify]: Extracting #1: cost 4 inf + 0 14.148 * * [simplify]: Extracting #2: cost 8 inf + 0 14.148 * * [simplify]: Extracting #3: cost 4 inf + 84 14.148 * * [simplify]: Extracting #4: cost 0 inf + 410 14.149 * [simplify]: Simplified to (/ (sqrt 2) (sqrt a1)) 14.149 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (sqrt a1)) (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.149 * * * * [progress]: [ 61 / 203 ] simplifiying candidate # 14.149 * [simplify]: Simplifying (/ (sqrt 1) 1) 14.149 * * [simplify]: iters left: 3 (3 enodes) 14.153 * * [simplify]: iters left: 2 (9 enodes) 14.155 * * [simplify]: iters left: 1 (11 enodes) 14.158 * * [simplify]: Extracting #0: cost 1 inf + 0 14.158 * * [simplify]: Extracting #1: cost 0 inf + 1 14.158 * [simplify]: Simplified to 1 14.158 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* 1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.159 * [simplify]: Simplifying (/ (sqrt 2) a1) 14.159 * * [simplify]: iters left: 3 (4 enodes) 14.161 * * [simplify]: iters left: 2 (12 enodes) 14.165 * * [simplify]: Extracting #0: cost 1 inf + 0 14.165 * * [simplify]: Extracting #1: cost 4 inf + 0 14.165 * * [simplify]: Extracting #2: cost 5 inf + 1 14.165 * * [simplify]: Extracting #3: cost 4 inf + 2 14.165 * * [simplify]: Extracting #4: cost 0 inf + 248 14.165 * [simplify]: Simplified to (/ (sqrt 2) a1) 14.165 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* 1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.165 * * * * [progress]: [ 62 / 203 ] simplifiying candidate # 14.166 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) 14.166 * * [simplify]: iters left: 5 (7 enodes) 14.169 * * [simplify]: iters left: 4 (23 enodes) 14.176 * * [simplify]: iters left: 3 (25 enodes) 14.184 * * [simplify]: Extracting #0: cost 1 inf + 0 14.184 * * [simplify]: Extracting #1: cost 6 inf + 0 14.184 * * [simplify]: Extracting #2: cost 12 inf + 0 14.184 * * [simplify]: Extracting #3: cost 13 inf + 1 14.184 * * [simplify]: Extracting #4: cost 9 inf + 285 14.184 * * [simplify]: Extracting #5: cost 6 inf + 488 14.184 * * [simplify]: Extracting #6: cost 2 inf + 1094 14.185 * * [simplify]: Extracting #7: cost 0 inf + 1538 14.185 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) 14.185 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.186 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt a1)) 14.186 * * [simplify]: iters left: 4 (6 enodes) 14.189 * * [simplify]: iters left: 3 (18 enodes) 14.194 * * [simplify]: Extracting #0: cost 1 inf + 0 14.194 * * [simplify]: Extracting #1: cost 4 inf + 0 14.194 * * [simplify]: Extracting #2: cost 8 inf + 0 14.194 * * [simplify]: Extracting #3: cost 7 inf + 163 14.195 * * [simplify]: Extracting #4: cost 6 inf + 164 14.195 * * [simplify]: Extracting #5: cost 0 inf + 812 14.195 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt a1)) 14.195 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.195 * * * * [progress]: [ 63 / 203 ] simplifiying candidate # 14.196 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 14.196 * * [simplify]: iters left: 4 (6 enodes) 14.199 * * [simplify]: iters left: 3 (18 enodes) 14.205 * * [simplify]: Extracting #0: cost 1 inf + 0 14.205 * * [simplify]: Extracting #1: cost 4 inf + 0 14.205 * * [simplify]: Extracting #2: cost 8 inf + 0 14.205 * * [simplify]: Extracting #3: cost 7 inf + 83 14.205 * * [simplify]: Extracting #4: cost 6 inf + 84 14.205 * * [simplify]: Extracting #5: cost 0 inf + 652 14.205 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 14.206 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (sqrt a1)) (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.206 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 14.206 * * [simplify]: iters left: 4 (6 enodes) 14.212 * * [simplify]: iters left: 3 (18 enodes) 14.217 * * [simplify]: Extracting #0: cost 1 inf + 0 14.217 * * [simplify]: Extracting #1: cost 4 inf + 0 14.217 * * [simplify]: Extracting #2: cost 8 inf + 0 14.217 * * [simplify]: Extracting #3: cost 7 inf + 83 14.217 * * [simplify]: Extracting #4: cost 6 inf + 84 14.218 * * [simplify]: Extracting #5: cost 0 inf + 652 14.218 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 14.218 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ (sqrt (sqrt 2)) (sqrt a1)) (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.218 * * * * [progress]: [ 64 / 203 ] simplifiying candidate # 14.218 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) 1) 14.218 * * [simplify]: iters left: 4 (5 enodes) 14.222 * * [simplify]: iters left: 3 (15 enodes) 14.227 * * [simplify]: iters left: 2 (17 enodes) 14.232 * * [simplify]: Extracting #0: cost 1 inf + 0 14.232 * * [simplify]: Extracting #1: cost 4 inf + 0 14.232 * * [simplify]: Extracting #2: cost 5 inf + 1 14.232 * * [simplify]: Extracting #3: cost 4 inf + 2 14.232 * * [simplify]: Extracting #4: cost 1 inf + 165 14.233 * * [simplify]: Extracting #5: cost 0 inf + 246 14.233 * [simplify]: Simplified to (sqrt (sqrt 2)) 14.233 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.233 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) a1) 14.233 * * [simplify]: iters left: 4 (5 enodes) 14.236 * * [simplify]: iters left: 3 (15 enodes) 14.241 * * [simplify]: Extracting #0: cost 1 inf + 0 14.241 * * [simplify]: Extracting #1: cost 4 inf + 0 14.241 * * [simplify]: Extracting #2: cost 5 inf + 1 14.241 * * [simplify]: Extracting #3: cost 7 inf + 1 14.241 * * [simplify]: Extracting #4: cost 6 inf + 2 14.241 * * [simplify]: Extracting #5: cost 0 inf + 490 14.241 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) a1) 14.241 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (sqrt (sqrt 2)) (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.242 * * * * [progress]: [ 65 / 203 ] simplifiying candidate # 14.242 * [simplify]: Simplifying (/ 1 (* (cbrt a1) (cbrt a1))) 14.242 * * [simplify]: iters left: 5 (5 enodes) 14.245 * * [simplify]: iters left: 4 (19 enodes) 14.251 * * [simplify]: iters left: 3 (23 enodes) 14.257 * * [simplify]: Extracting #0: cost 1 inf + 0 14.257 * * [simplify]: Extracting #1: cost 6 inf + 0 14.258 * * [simplify]: Extracting #2: cost 9 inf + 1 14.258 * * [simplify]: Extracting #3: cost 1 inf + 852 14.258 * * [simplify]: Extracting #4: cost 0 inf + 974 14.258 * [simplify]: Simplified to (/ 1 (* (cbrt a1) (cbrt a1))) 14.258 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.259 * [simplify]: Simplifying (/ (sqrt 2) (cbrt a1)) 14.259 * * [simplify]: iters left: 3 (5 enodes) 14.261 * * [simplify]: iters left: 2 (15 enodes) 14.266 * * [simplify]: Extracting #0: cost 1 inf + 0 14.266 * * [simplify]: Extracting #1: cost 4 inf + 0 14.266 * * [simplify]: Extracting #2: cost 8 inf + 0 14.266 * * [simplify]: Extracting #3: cost 4 inf + 164 14.267 * * [simplify]: Extracting #4: cost 0 inf + 570 14.267 * [simplify]: Simplified to (/ (sqrt 2) (cbrt a1)) 14.267 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.267 * * * * [progress]: [ 66 / 203 ] simplifiying candidate # 14.267 * [simplify]: Simplifying (/ 1 (sqrt a1)) 14.267 * * [simplify]: iters left: 3 (4 enodes) 14.269 * * [simplify]: iters left: 2 (14 enodes) 14.274 * * [simplify]: iters left: 1 (16 enodes) 14.279 * * [simplify]: Extracting #0: cost 1 inf + 0 14.279 * * [simplify]: Extracting #1: cost 4 inf + 0 14.279 * * [simplify]: Extracting #2: cost 5 inf + 1 14.279 * * [simplify]: Extracting #3: cost 3 inf + 43 14.279 * * [simplify]: Extracting #4: cost 1 inf + 166 14.279 * * [simplify]: Extracting #5: cost 0 inf + 248 14.279 * [simplify]: Simplified to (/ 1 (sqrt a1)) 14.279 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (sqrt a1)) (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.280 * [simplify]: Simplifying (/ (sqrt 2) (sqrt a1)) 14.280 * * [simplify]: iters left: 3 (5 enodes) 14.283 * * [simplify]: iters left: 2 (15 enodes) 14.288 * * [simplify]: Extracting #0: cost 1 inf + 0 14.288 * * [simplify]: Extracting #1: cost 4 inf + 0 14.288 * * [simplify]: Extracting #2: cost 8 inf + 0 14.288 * * [simplify]: Extracting #3: cost 4 inf + 84 14.288 * * [simplify]: Extracting #4: cost 0 inf + 410 14.288 * [simplify]: Simplified to (/ (sqrt 2) (sqrt a1)) 14.288 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* (/ 1 (sqrt a1)) (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.288 * * * * [progress]: [ 67 / 203 ] simplifiying candidate # 14.289 * [simplify]: Simplifying (/ 1 1) 14.289 * * [simplify]: iters left: 2 (2 enodes) 14.290 * * [simplify]: iters left: 1 (6 enodes) 14.292 * * [simplify]: Extracting #0: cost 1 inf + 0 14.292 * * [simplify]: Extracting #1: cost 0 inf + 1 14.292 * [simplify]: Simplified to 1 14.292 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* 1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.293 * [simplify]: Simplifying (/ (sqrt 2) a1) 14.293 * * [simplify]: iters left: 3 (4 enodes) 14.295 * * [simplify]: iters left: 2 (12 enodes) 14.299 * * [simplify]: Extracting #0: cost 1 inf + 0 14.299 * * [simplify]: Extracting #1: cost 4 inf + 0 14.299 * * [simplify]: Extracting #2: cost 5 inf + 1 14.299 * * [simplify]: Extracting #3: cost 4 inf + 2 14.300 * * [simplify]: Extracting #4: cost 0 inf + 248 14.300 * [simplify]: Simplified to (/ (sqrt 2) a1) 14.300 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (* 1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.300 * * * * [progress]: [ 68 / 203 ] simplifiying candidate # 14.300 * * * * [progress]: [ 69 / 203 ] simplifiying candidate # 14.300 * * * * [progress]: [ 70 / 203 ] simplifiying candidate # 14.300 * * * * [progress]: [ 71 / 203 ] simplifiying candidate # 14.300 * [simplify]: Simplifying (cbrt a1) 14.300 * * [simplify]: iters left: 1 (2 enodes) 14.301 * * [simplify]: Extracting #0: cost 1 inf + 0 14.301 * * [simplify]: Extracting #1: cost 3 inf + 0 14.301 * * [simplify]: Extracting #2: cost 2 inf + 1 14.301 * * [simplify]: Extracting #3: cost 0 inf + 163 14.302 * [simplify]: Simplified to (cbrt a1) 14.302 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (/ (sqrt 2) (* (cbrt a1) (cbrt a1))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.302 * * * * [progress]: [ 72 / 203 ] simplifiying candidate # 14.302 * [simplify]: Simplifying (sqrt a1) 14.302 * * [simplify]: iters left: 1 (2 enodes) 14.303 * * [simplify]: Extracting #0: cost 1 inf + 0 14.303 * * [simplify]: Extracting #1: cost 3 inf + 0 14.303 * * [simplify]: Extracting #2: cost 2 inf + 1 14.303 * * [simplify]: Extracting #3: cost 0 inf + 83 14.303 * [simplify]: Simplified to (sqrt a1) 14.303 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (/ (sqrt 2) (sqrt a1)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.303 * * * * [progress]: [ 73 / 203 ] simplifiying candidate # 14.303 * * * * [progress]: [ 74 / 203 ] simplifiying candidate # 14.303 * [simplify]: Simplifying (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 14.304 * * [simplify]: iters left: 4 (4 enodes) 14.306 * * [simplify]: iters left: 3 (12 enodes) 14.310 * * [simplify]: Extracting #0: cost 1 inf + 0 14.310 * * [simplify]: Extracting #1: cost 3 inf + 0 14.310 * * [simplify]: Extracting #2: cost 5 inf + 0 14.310 * * [simplify]: Extracting #3: cost 7 inf + 0 14.310 * * [simplify]: Extracting #4: cost 6 inf + 1 14.310 * * [simplify]: Extracting #5: cost 0 inf + 647 14.310 * [simplify]: Simplified to (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 14.310 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.311 * * * * [progress]: [ 75 / 203 ] simplifiying candidate # 14.311 * [simplify]: Simplifying (sqrt (* (cbrt 2) (cbrt 2))) 14.311 * * [simplify]: iters left: 4 (4 enodes) 14.313 * * [simplify]: iters left: 3 (13 enodes) 14.317 * * [simplify]: Extracting #0: cost 1 inf + 0 14.317 * * [simplify]: Extracting #1: cost 4 inf + 0 14.317 * * [simplify]: Extracting #2: cost 7 inf + 0 14.318 * * [simplify]: Extracting #3: cost 6 inf + 1 14.318 * * [simplify]: Extracting #4: cost 0 inf + 647 14.318 * [simplify]: Simplified to (fabs (cbrt 2)) 14.318 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (fabs (cbrt 2)) (/ a1 (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.318 * * * * [progress]: [ 76 / 203 ] simplifiying candidate # 14.318 * [simplify]: Simplifying (sqrt (sqrt 2)) 14.318 * * [simplify]: iters left: 2 (3 enodes) 14.320 * * [simplify]: iters left: 1 (9 enodes) 14.323 * * [simplify]: Extracting #0: cost 1 inf + 0 14.323 * * [simplify]: Extracting #1: cost 3 inf + 0 14.323 * * [simplify]: Extracting #2: cost 5 inf + 0 14.323 * * [simplify]: Extracting #3: cost 4 inf + 1 14.323 * * [simplify]: Extracting #4: cost 0 inf + 245 14.324 * [simplify]: Simplified to (sqrt (sqrt 2)) 14.324 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (/ a1 (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.324 * * * * [progress]: [ 77 / 203 ] simplifiying candidate # 14.324 * [simplify]: Simplifying (sqrt 1) 14.324 * * [simplify]: iters left: 1 (2 enodes) 14.327 * * [simplify]: Extracting #0: cost 1 inf + 0 14.327 * * [simplify]: Extracting #1: cost 0 inf + 1 14.327 * [simplify]: Simplified to 1 14.327 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ 1 (/ a1 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.327 * * * * [progress]: [ 78 / 203 ] simplifiying candidate # 14.327 * [simplify]: Simplifying (sqrt (sqrt 2)) 14.327 * * [simplify]: iters left: 2 (3 enodes) 14.329 * * [simplify]: iters left: 1 (9 enodes) 14.333 * * [simplify]: Extracting #0: cost 1 inf + 0 14.333 * * [simplify]: Extracting #1: cost 3 inf + 0 14.333 * * [simplify]: Extracting #2: cost 5 inf + 0 14.333 * * [simplify]: Extracting #3: cost 4 inf + 1 14.333 * * [simplify]: Extracting #4: cost 0 inf + 245 14.333 * [simplify]: Simplified to (sqrt (sqrt 2)) 14.333 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (/ a1 (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 14.333 * * * * [progress]: [ 79 / 203 ] simplifiying candidate # 14.333 * * * * [progress]: [ 80 / 203 ] simplifiying candidate #real (real->posit16 (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 14.333 * * * * [progress]: [ 81 / 203 ] simplifiying candidate # 14.334 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 14.334 * * [simplify]: iters left: 5 (8 enodes) 14.336 * * [simplify]: iters left: 4 (29 enodes) 14.341 * * [simplify]: iters left: 3 (42 enodes) 14.347 * * [simplify]: iters left: 2 (54 enodes) 14.357 * * [simplify]: iters left: 1 (61 enodes) 14.373 * * [simplify]: Extracting #0: cost 1 inf + 0 14.373 * * [simplify]: Extracting #1: cost 16 inf + 0 14.373 * * [simplify]: Extracting #2: cost 28 inf + 1 14.373 * * [simplify]: Extracting #3: cost 19 inf + 473 14.374 * * [simplify]: Extracting #4: cost 4 inf + 2525 14.375 * * [simplify]: Extracting #5: cost 0 inf + 3135 14.377 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 14.377 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 14.377 * * * * [progress]: [ 82 / 203 ] simplifiying candidate # 14.377 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 14.377 * * [simplify]: iters left: 5 (8 enodes) 14.382 * * [simplify]: iters left: 4 (29 enodes) 14.391 * * [simplify]: iters left: 3 (42 enodes) 14.404 * * [simplify]: iters left: 2 (54 enodes) 14.418 * * [simplify]: iters left: 1 (61 enodes) 14.426 * * [simplify]: Extracting #0: cost 1 inf + 0 14.426 * * [simplify]: Extracting #1: cost 16 inf + 0 14.426 * * [simplify]: Extracting #2: cost 28 inf + 1 14.427 * * [simplify]: Extracting #3: cost 19 inf + 473 14.427 * * [simplify]: Extracting #4: cost 4 inf + 2525 14.428 * * [simplify]: Extracting #5: cost 0 inf + 3135 14.428 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 14.428 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 14.428 * * * * [progress]: [ 83 / 203 ] simplifiying candidate # 14.428 * * * * [progress]: [ 84 / 203 ] simplifiying candidate # 14.428 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (+ (log a2) (log a2))) 14.429 * * [simplify]: iters left: 6 (11 enodes) 14.431 * * [simplify]: iters left: 5 (40 enodes) 14.438 * * [simplify]: iters left: 4 (63 enodes) 14.450 * * [simplify]: iters left: 3 (102 enodes) 14.487 * * [simplify]: iters left: 2 (144 enodes) 14.529 * * [simplify]: iters left: 1 (166 enodes) 14.571 * * [simplify]: Extracting #0: cost 1 inf + 0 14.571 * * [simplify]: Extracting #1: cost 29 inf + 0 14.571 * * [simplify]: Extracting #2: cost 53 inf + 0 14.571 * * [simplify]: Extracting #3: cost 53 inf + 254 14.572 * * [simplify]: Extracting #4: cost 35 inf + 2686 14.573 * * [simplify]: Extracting #5: cost 8 inf + 10161 14.575 * * [simplify]: Extracting #6: cost 0 inf + 13132 14.577 * [simplify]: Simplified to (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2)))) 14.578 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (exp (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2))))))) 14.578 * * * * [progress]: [ 85 / 203 ] simplifiying candidate # 14.578 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) 14.578 * * [simplify]: iters left: 6 (11 enodes) 14.583 * * [simplify]: iters left: 5 (40 enodes) 14.589 * * [simplify]: iters left: 4 (62 enodes) 14.603 * * [simplify]: iters left: 3 (104 enodes) 14.635 * * [simplify]: iters left: 2 (142 enodes) 14.655 * * [simplify]: iters left: 1 (168 enodes) 14.706 * * [simplify]: Extracting #0: cost 1 inf + 0 14.706 * * [simplify]: Extracting #1: cost 29 inf + 0 14.707 * * [simplify]: Extracting #2: cost 54 inf + 0 14.707 * * [simplify]: Extracting #3: cost 56 inf + 153 14.708 * * [simplify]: Extracting #4: cost 36 inf + 2657 14.711 * * [simplify]: Extracting #5: cost 9 inf + 10001 14.715 * * [simplify]: Extracting #6: cost 0 inf + 13214 14.719 * [simplify]: Simplified to (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2)))) 14.719 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (exp (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2))))))) 14.719 * * * * [progress]: [ 86 / 203 ] simplifiying candidate # 14.720 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 14.720 * * [simplify]: iters left: 6 (10 enodes) 14.725 * * [simplify]: iters left: 5 (36 enodes) 14.736 * * [simplify]: iters left: 4 (52 enodes) 14.753 * * [simplify]: iters left: 3 (81 enodes) 14.778 * * [simplify]: iters left: 2 (127 enodes) 14.801 * * [simplify]: iters left: 1 (153 enodes) 14.823 * * [simplify]: Extracting #0: cost 1 inf + 0 14.823 * * [simplify]: Extracting #1: cost 21 inf + 0 14.823 * * [simplify]: Extracting #2: cost 41 inf + 0 14.824 * * [simplify]: Extracting #3: cost 40 inf + 556 14.824 * * [simplify]: Extracting #4: cost 33 inf + 993 14.824 * * [simplify]: Extracting #5: cost 18 inf + 4050 14.826 * * [simplify]: Extracting #6: cost 1 inf + 8354 14.828 * * [simplify]: Extracting #7: cost 0 inf + 8546 14.829 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 14.829 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))))) 14.829 * * * * [progress]: [ 87 / 203 ] simplifiying candidate # 14.829 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 14.829 * * [simplify]: iters left: 6 (10 enodes) 14.832 * * [simplify]: iters left: 5 (36 enodes) 14.838 * * [simplify]: iters left: 4 (52 enodes) 14.846 * * [simplify]: iters left: 3 (81 enodes) 14.858 * * [simplify]: iters left: 2 (117 enodes) 14.878 * * [simplify]: iters left: 1 (150 enodes) 14.901 * * [simplify]: Extracting #0: cost 1 inf + 0 14.901 * * [simplify]: Extracting #1: cost 22 inf + 0 14.901 * * [simplify]: Extracting #2: cost 42 inf + 0 14.902 * * [simplify]: Extracting #3: cost 41 inf + 517 14.902 * * [simplify]: Extracting #4: cost 25 inf + 2678 14.903 * * [simplify]: Extracting #5: cost 6 inf + 6895 14.905 * * [simplify]: Extracting #6: cost 0 inf + 8628 14.907 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 14.907 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2)))))) 14.907 * * * * [progress]: [ 88 / 203 ] simplifiying candidate # 14.907 * * * * [progress]: [ 89 / 203 ] simplifiying candidate # 14.907 * * * * [progress]: [ 90 / 203 ] simplifiying candidate # 14.907 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 14.907 * * [simplify]: iters left: 6 (14 enodes) 14.911 * * [simplify]: iters left: 5 (61 enodes) 14.924 * * [simplify]: iters left: 4 (181 enodes) 15.028 * * [simplify]: Extracting #0: cost 1 inf + 0 15.029 * * [simplify]: Extracting #1: cost 76 inf + 0 15.030 * * [simplify]: Extracting #2: cost 235 inf + 124 15.035 * * [simplify]: Extracting #3: cost 165 inf + 14368 15.046 * * [simplify]: Extracting #4: cost 20 inf + 49845 15.058 * * [simplify]: Extracting #5: cost 0 inf + 55540 15.075 * * [simplify]: Extracting #6: cost 0 inf + 55500 15.099 * [simplify]: Simplified to (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2)) 15.099 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (cbrt (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2))))) 15.099 * * * * [progress]: [ 91 / 203 ] simplifiying candidate # 15.099 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 15.100 * * [simplify]: iters left: 6 (14 enodes) 15.107 * * [simplify]: iters left: 5 (62 enodes) 15.131 * * [simplify]: iters left: 4 (174 enodes) 15.248 * * [simplify]: Extracting #0: cost 1 inf + 0 15.248 * * [simplify]: Extracting #1: cost 74 inf + 0 15.250 * * [simplify]: Extracting #2: cost 223 inf + 978 15.258 * * [simplify]: Extracting #3: cost 117 inf + 23061 15.278 * * [simplify]: Extracting #4: cost 7 inf + 51587 15.301 * * [simplify]: Extracting #5: cost 0 inf + 53337 15.324 * * [simplify]: Extracting #6: cost 0 inf + 53297 15.347 * [simplify]: Simplified to (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2))) 15.348 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (cbrt (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2)))))) 15.348 * * * * [progress]: [ 92 / 203 ] simplifiying candidate # 15.348 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 15.348 * * [simplify]: iters left: 6 (12 enodes) 15.355 * * [simplify]: iters left: 5 (55 enodes) 15.381 * * [simplify]: iters left: 4 (146 enodes) 15.442 * * [simplify]: iters left: 3 (466 enodes) 15.801 * * [simplify]: Extracting #0: cost 1 inf + 0 15.801 * * [simplify]: Extracting #1: cost 112 inf + 0 15.804 * * [simplify]: Extracting #2: cost 333 inf + 165 15.813 * * [simplify]: Extracting #3: cost 235 inf + 23822 15.855 * * [simplify]: Extracting #4: cost 37 inf + 81592 15.901 * * [simplify]: Extracting #5: cost 0 inf + 95859 15.928 * [simplify]: Simplified to (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))))) 15.929 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (cbrt (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2)))))))) 15.929 * * * * [progress]: [ 93 / 203 ] simplifiying candidate # 15.929 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 15.929 * * [simplify]: iters left: 6 (12 enodes) 15.933 * * [simplify]: iters left: 5 (56 enodes) 15.947 * * [simplify]: iters left: 4 (149 enodes) 16.035 * * [simplify]: iters left: 3 (484 enodes) 16.483 * * [simplify]: Extracting #0: cost 1 inf + 0 16.483 * * [simplify]: Extracting #1: cost 116 inf + 0 16.484 * * [simplify]: Extracting #2: cost 379 inf + 167 16.494 * * [simplify]: Extracting #3: cost 262 inf + 31859 16.515 * * [simplify]: Extracting #4: cost 24 inf + 104764 16.548 * * [simplify]: Extracting #5: cost 0 inf + 112531 16.589 * [simplify]: Simplified to (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) 16.589 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (cbrt (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2))))))) 16.589 * * * * [progress]: [ 94 / 203 ] simplifiying candidate # 16.589 * * * * [progress]: [ 95 / 203 ] simplifiying candidate # 16.589 * * * * [progress]: [ 96 / 203 ] simplifiying candidate # 16.589 * * * * [progress]: [ 97 / 203 ] simplifiying candidate # 16.590 * * * * [progress]: [ 98 / 203 ] simplifiying candidate # 16.590 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 16.590 * * [simplify]: iters left: 6 (8 enodes) 16.596 * * [simplify]: iters left: 5 (25 enodes) 16.604 * * [simplify]: Extracting #0: cost 1 inf + 0 16.604 * * [simplify]: Extracting #1: cost 4 inf + 0 16.604 * * [simplify]: Extracting #2: cost 5 inf + 1 16.604 * * [simplify]: Extracting #3: cost 8 inf + 1 16.604 * * [simplify]: Extracting #4: cost 12 inf + 1 16.604 * * [simplify]: Extracting #5: cost 9 inf + 44 16.604 * * [simplify]: Extracting #6: cost 7 inf + 146 16.605 * * [simplify]: Extracting #7: cost 2 inf + 896 16.605 * * [simplify]: Extracting #8: cost 0 inf + 1301 16.605 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 16.606 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 16.606 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 16.606 * * [simplify]: iters left: 6 (8 enodes) 16.610 * * [simplify]: iters left: 5 (25 enodes) 16.614 * * [simplify]: Extracting #0: cost 1 inf + 0 16.614 * * [simplify]: Extracting #1: cost 4 inf + 0 16.614 * * [simplify]: Extracting #2: cost 5 inf + 1 16.614 * * [simplify]: Extracting #3: cost 8 inf + 1 16.614 * * [simplify]: Extracting #4: cost 12 inf + 1 16.614 * * [simplify]: Extracting #5: cost 9 inf + 44 16.614 * * [simplify]: Extracting #6: cost 7 inf + 146 16.614 * * [simplify]: Extracting #7: cost 2 inf + 896 16.614 * * [simplify]: Extracting #8: cost 0 inf + 1301 16.614 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 16.614 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 16.614 * * * * [progress]: [ 99 / 203 ] simplifiying candidate # 16.615 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 16.615 * * [simplify]: iters left: 6 (9 enodes) 16.617 * * [simplify]: iters left: 5 (30 enodes) 16.622 * * [simplify]: iters left: 4 (36 enodes) 16.627 * * [simplify]: iters left: 3 (38 enodes) 16.632 * * [simplify]: Extracting #0: cost 1 inf + 0 16.632 * * [simplify]: Extracting #1: cost 8 inf + 0 16.632 * * [simplify]: Extracting #2: cost 14 inf + 1 16.632 * * [simplify]: Extracting #3: cost 18 inf + 1 16.632 * * [simplify]: Extracting #4: cost 14 inf + 125 16.632 * * [simplify]: Extracting #5: cost 8 inf + 713 16.633 * * [simplify]: Extracting #6: cost 1 inf + 1847 16.633 * * [simplify]: Extracting #7: cost 0 inf + 2069 16.633 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 16.633 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 16.634 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 16.634 * * [simplify]: iters left: 6 (9 enodes) 16.638 * * [simplify]: iters left: 5 (30 enodes) 16.647 * * [simplify]: iters left: 4 (36 enodes) 16.657 * * [simplify]: iters left: 3 (38 enodes) 16.668 * * [simplify]: Extracting #0: cost 1 inf + 0 16.668 * * [simplify]: Extracting #1: cost 8 inf + 0 16.668 * * [simplify]: Extracting #2: cost 14 inf + 1 16.668 * * [simplify]: Extracting #3: cost 18 inf + 1 16.668 * * [simplify]: Extracting #4: cost 14 inf + 125 16.668 * * [simplify]: Extracting #5: cost 8 inf + 713 16.669 * * [simplify]: Extracting #6: cost 1 inf + 1847 16.670 * * [simplify]: Extracting #7: cost 0 inf + 2069 16.670 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 16.670 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 16.670 * * * * [progress]: [ 100 / 203 ] simplifiying candidate # 16.671 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 16.671 * * [simplify]: iters left: 6 (9 enodes) 16.675 * * [simplify]: iters left: 5 (30 enodes) 16.685 * * [simplify]: iters left: 4 (36 enodes) 16.694 * * [simplify]: iters left: 3 (38 enodes) 16.699 * * [simplify]: Extracting #0: cost 1 inf + 0 16.699 * * [simplify]: Extracting #1: cost 8 inf + 0 16.700 * * [simplify]: Extracting #2: cost 14 inf + 1 16.700 * * [simplify]: Extracting #3: cost 18 inf + 1 16.700 * * [simplify]: Extracting #4: cost 14 inf + 125 16.700 * * [simplify]: Extracting #5: cost 8 inf + 713 16.700 * * [simplify]: Extracting #6: cost 1 inf + 1847 16.700 * * [simplify]: Extracting #7: cost 0 inf + 2069 16.701 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 16.701 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 16.701 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 16.701 * * [simplify]: iters left: 6 (9 enodes) 16.704 * * [simplify]: iters left: 5 (30 enodes) 16.708 * * [simplify]: iters left: 4 (36 enodes) 16.714 * * [simplify]: iters left: 3 (38 enodes) 16.719 * * [simplify]: Extracting #0: cost 1 inf + 0 16.719 * * [simplify]: Extracting #1: cost 8 inf + 0 16.719 * * [simplify]: Extracting #2: cost 14 inf + 1 16.720 * * [simplify]: Extracting #3: cost 18 inf + 1 16.720 * * [simplify]: Extracting #4: cost 14 inf + 125 16.720 * * [simplify]: Extracting #5: cost 8 inf + 713 16.720 * * [simplify]: Extracting #6: cost 1 inf + 1847 16.720 * * [simplify]: Extracting #7: cost 0 inf + 2069 16.721 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 16.721 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 16.721 * * * * [progress]: [ 101 / 203 ] simplifiying candidate # 16.721 * * * * [progress]: [ 102 / 203 ] simplifiying candidate # 16.721 * [simplify]: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 16.721 * * [simplify]: iters left: 6 (7 enodes) 16.723 * * [simplify]: iters left: 5 (21 enodes) 16.726 * * [simplify]: Extracting #0: cost 1 inf + 0 16.726 * * [simplify]: Extracting #1: cost 3 inf + 0 16.726 * * [simplify]: Extracting #2: cost 5 inf + 0 16.726 * * [simplify]: Extracting #3: cost 8 inf + 0 16.726 * * [simplify]: Extracting #4: cost 12 inf + 0 16.726 * * [simplify]: Extracting #5: cost 10 inf + 2 16.726 * * [simplify]: Extracting #6: cost 1 inf + 1196 16.726 * * [simplify]: Extracting #7: cost 0 inf + 1458 16.727 * [simplify]: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 16.727 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 16.727 * * * * [progress]: [ 103 / 203 ] simplifiying candidate # 16.727 * [simplify]: Simplifying (sqrt (/ (cos th) (sqrt 2))) 16.727 * * [simplify]: iters left: 4 (6 enodes) 16.729 * * [simplify]: iters left: 3 (18 enodes) 16.731 * * [simplify]: Extracting #0: cost 1 inf + 0 16.731 * * [simplify]: Extracting #1: cost 3 inf + 0 16.731 * * [simplify]: Extracting #2: cost 6 inf + 0 16.731 * * [simplify]: Extracting #3: cost 10 inf + 0 16.732 * * [simplify]: Extracting #4: cost 6 inf + 84 16.732 * * [simplify]: Extracting #5: cost 0 inf + 854 16.732 * [simplify]: Simplified to (sqrt (/ (cos th) (sqrt 2))) 16.732 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 16.732 * * * * [progress]: [ 104 / 203 ] simplifiying candidate # 16.732 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 16.732 * * [simplify]: iters left: 6 (9 enodes) 16.735 * * [simplify]: iters left: 5 (33 enodes) 16.746 * * [simplify]: iters left: 4 (48 enodes) 16.760 * * [simplify]: iters left: 3 (55 enodes) 16.776 * * [simplify]: iters left: 2 (58 enodes) 16.790 * * [simplify]: Extracting #0: cost 1 inf + 0 16.791 * * [simplify]: Extracting #1: cost 11 inf + 0 16.791 * * [simplify]: Extracting #2: cost 22 inf + 0 16.791 * * [simplify]: Extracting #3: cost 26 inf + 0 16.791 * * [simplify]: Extracting #4: cost 22 inf + 104 16.791 * * [simplify]: Extracting #5: cost 7 inf + 3466 16.792 * * [simplify]: Extracting #6: cost 0 inf + 5358 16.792 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 16.792 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 16.793 * * * * [progress]: [ 105 / 203 ] simplifiying candidate # 16.793 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 16.793 * * [simplify]: iters left: 6 (9 enodes) 16.795 * * [simplify]: iters left: 5 (30 enodes) 16.800 * * [simplify]: iters left: 4 (34 enodes) 16.805 * * [simplify]: iters left: 3 (37 enodes) 16.810 * * [simplify]: Extracting #0: cost 1 inf + 0 16.810 * * [simplify]: Extracting #1: cost 7 inf + 0 16.810 * * [simplify]: Extracting #2: cost 15 inf + 0 16.810 * * [simplify]: Extracting #3: cost 20 inf + 0 16.810 * * [simplify]: Extracting #4: cost 14 inf + 386 16.811 * * [simplify]: Extracting #5: cost 4 inf + 2139 16.811 * * [simplify]: Extracting #6: cost 0 inf + 3306 16.811 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 16.811 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 16.811 * * * * [progress]: [ 106 / 203 ] simplifiying candidate # 16.812 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 16.812 * * [simplify]: iters left: 6 (8 enodes) 16.814 * * [simplify]: iters left: 5 (26 enodes) 16.820 * * [simplify]: iters left: 4 (30 enodes) 16.827 * * [simplify]: iters left: 3 (33 enodes) 16.835 * * [simplify]: Extracting #0: cost 1 inf + 0 16.835 * * [simplify]: Extracting #1: cost 7 inf + 0 16.835 * * [simplify]: Extracting #2: cost 14 inf + 0 16.835 * * [simplify]: Extracting #3: cost 18 inf + 0 16.836 * * [simplify]: Extracting #4: cost 15 inf + 43 16.836 * * [simplify]: Extracting #5: cost 11 inf + 307 16.836 * * [simplify]: Extracting #6: cost 2 inf + 2181 16.836 * * [simplify]: Extracting #7: cost 0 inf + 2664 16.837 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 16.837 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 16.837 * * * * [progress]: [ 107 / 203 ] simplifiying candidate # 16.837 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 16.837 * * [simplify]: iters left: 6 (7 enodes) 16.839 * * [simplify]: iters left: 5 (25 enodes) 16.843 * * [simplify]: iters left: 4 (31 enodes) 16.847 * * [simplify]: iters left: 3 (35 enodes) 16.852 * * [simplify]: iters left: 2 (36 enodes) 16.856 * * [simplify]: Extracting #0: cost 1 inf + 0 16.856 * * [simplify]: Extracting #1: cost 5 inf + 0 16.856 * * [simplify]: Extracting #2: cost 7 inf + 1 16.856 * * [simplify]: Extracting #3: cost 9 inf + 1 16.856 * * [simplify]: Extracting #4: cost 8 inf + 2 16.856 * * [simplify]: Extracting #5: cost 1 inf + 951 16.857 * * [simplify]: Extracting #6: cost 0 inf + 1132 16.857 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 16.857 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 16.857 * * * * [progress]: [ 108 / 203 ] simplifiying candidate # 16.857 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 16.857 * * [simplify]: iters left: 6 (8 enodes) 16.859 * * [simplify]: iters left: 5 (26 enodes) 16.865 * * [simplify]: iters left: 4 (30 enodes) 16.874 * * [simplify]: iters left: 3 (33 enodes) 16.884 * * [simplify]: Extracting #0: cost 1 inf + 0 16.884 * * [simplify]: Extracting #1: cost 7 inf + 0 16.884 * * [simplify]: Extracting #2: cost 14 inf + 0 16.885 * * [simplify]: Extracting #3: cost 18 inf + 0 16.885 * * [simplify]: Extracting #4: cost 15 inf + 43 16.885 * * [simplify]: Extracting #5: cost 11 inf + 307 16.885 * * [simplify]: Extracting #6: cost 2 inf + 2181 16.886 * * [simplify]: Extracting #7: cost 0 inf + 2664 16.887 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 16.887 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 16.887 * * * * [progress]: [ 109 / 203 ] simplifiying candidate # 16.887 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 16.887 * * [simplify]: iters left: 6 (6 enodes) 16.890 * * [simplify]: iters left: 5 (20 enodes) 16.898 * * [simplify]: iters left: 4 (30 enodes) 16.906 * * [simplify]: iters left: 3 (31 enodes) 16.914 * * [simplify]: Extracting #0: cost 1 inf + 0 16.915 * * [simplify]: Extracting #1: cost 5 inf + 0 16.915 * * [simplify]: Extracting #2: cost 7 inf + 1 16.915 * * [simplify]: Extracting #3: cost 9 inf + 1 16.915 * * [simplify]: Extracting #4: cost 8 inf + 2 16.915 * * [simplify]: Extracting #5: cost 0 inf + 1132 16.915 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 16.915 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 16.916 * * * * [progress]: [ 110 / 203 ] simplifiying candidate # 16.916 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 16.916 * * [simplify]: iters left: 6 (8 enodes) 16.920 * * [simplify]: iters left: 5 (26 enodes) 16.925 * * [simplify]: iters left: 4 (28 enodes) 16.929 * * [simplify]: Extracting #0: cost 1 inf + 0 16.929 * * [simplify]: Extracting #1: cost 6 inf + 0 16.929 * * [simplify]: Extracting #2: cost 12 inf + 0 16.929 * * [simplify]: Extracting #3: cost 16 inf + 0 16.929 * * [simplify]: Extracting #4: cost 14 inf + 2 16.930 * * [simplify]: Extracting #5: cost 10 inf + 266 16.930 * * [simplify]: Extracting #6: cost 1 inf + 1798 16.930 * * [simplify]: Extracting #7: cost 0 inf + 2100 16.930 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 16.930 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 16.930 * * * * [progress]: [ 111 / 203 ] simplifiying candidate # 16.931 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 16.931 * * [simplify]: iters left: 6 (8 enodes) 16.933 * * [simplify]: iters left: 5 (25 enodes) 16.938 * * [simplify]: Extracting #0: cost 1 inf + 0 16.938 * * [simplify]: Extracting #1: cost 4 inf + 0 16.938 * * [simplify]: Extracting #2: cost 9 inf + 0 16.938 * * [simplify]: Extracting #3: cost 14 inf + 0 16.939 * * [simplify]: Extracting #4: cost 12 inf + 2 16.939 * * [simplify]: Extracting #5: cost 6 inf + 528 16.939 * * [simplify]: Extracting #6: cost 1 inf + 1234 16.939 * * [simplify]: Extracting #7: cost 0 inf + 1496 16.939 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 16.939 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 16.939 * * * * [progress]: [ 112 / 203 ] simplifiying candidate # 16.940 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 16.940 * * [simplify]: iters left: 4 (7 enodes) 16.941 * * [simplify]: iters left: 3 (21 enodes) 16.945 * * [simplify]: Extracting #0: cost 1 inf + 0 16.945 * * [simplify]: Extracting #1: cost 4 inf + 0 16.945 * * [simplify]: Extracting #2: cost 8 inf + 0 16.945 * * [simplify]: Extracting #3: cost 12 inf + 0 16.945 * * [simplify]: Extracting #4: cost 10 inf + 2 16.945 * * [simplify]: Extracting #5: cost 4 inf + 368 16.945 * * [simplify]: Extracting #6: cost 1 inf + 792 16.945 * * [simplify]: Extracting #7: cost 0 inf + 1014 16.945 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 16.945 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 16.946 * * * * [progress]: [ 113 / 203 ] simplifiying candidate # 16.946 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 16.946 * * [simplify]: iters left: 4 (6 enodes) 16.949 * * [simplify]: iters left: 3 (20 enodes) 16.951 * * [simplify]: iters left: 2 (22 enodes) 16.955 * * [simplify]: iters left: 1 (24 enodes) 16.961 * * [simplify]: Extracting #0: cost 1 inf + 0 16.961 * * [simplify]: Extracting #1: cost 4 inf + 0 16.961 * * [simplify]: Extracting #2: cost 5 inf + 1 16.961 * * [simplify]: Extracting #3: cost 4 inf + 2 16.961 * * [simplify]: Extracting #4: cost 0 inf + 326 16.961 * [simplify]: Simplified to (sqrt (cos th)) 16.961 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 16.962 * * * * [progress]: [ 114 / 203 ] simplifiying candidate # 16.962 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 16.962 * * [simplify]: iters left: 4 (7 enodes) 16.966 * * [simplify]: iters left: 3 (21 enodes) 16.972 * * [simplify]: Extracting #0: cost 1 inf + 0 16.972 * * [simplify]: Extracting #1: cost 4 inf + 0 16.972 * * [simplify]: Extracting #2: cost 8 inf + 0 16.972 * * [simplify]: Extracting #3: cost 12 inf + 0 16.972 * * [simplify]: Extracting #4: cost 10 inf + 2 16.972 * * [simplify]: Extracting #5: cost 4 inf + 368 16.973 * * [simplify]: Extracting #6: cost 1 inf + 792 16.973 * * [simplify]: Extracting #7: cost 0 inf + 1014 16.974 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 16.974 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 16.974 * * * * [progress]: [ 115 / 203 ] simplifiying candidate # 16.974 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 16.974 * * [simplify]: iters left: 4 (5 enodes) 16.977 * * [simplify]: iters left: 3 (15 enodes) 16.982 * * [simplify]: iters left: 2 (17 enodes) 16.986 * * [simplify]: Extracting #0: cost 1 inf + 0 16.987 * * [simplify]: Extracting #1: cost 4 inf + 0 16.987 * * [simplify]: Extracting #2: cost 5 inf + 1 16.987 * * [simplify]: Extracting #3: cost 4 inf + 2 16.987 * * [simplify]: Extracting #4: cost 1 inf + 225 16.987 * * [simplify]: Extracting #5: cost 0 inf + 326 16.987 * [simplify]: Simplified to (sqrt (cos th)) 16.987 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 16.987 * * * * [progress]: [ 116 / 203 ] simplifiying candidate # 16.988 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 16.988 * * [simplify]: iters left: 6 (6 enodes) 16.991 * * [simplify]: iters left: 5 (22 enodes) 16.999 * * [simplify]: iters left: 4 (26 enodes) 17.007 * * [simplify]: Extracting #0: cost 1 inf + 0 17.007 * * [simplify]: Extracting #1: cost 6 inf + 0 17.007 * * [simplify]: Extracting #2: cost 9 inf + 1 17.007 * * [simplify]: Extracting #3: cost 11 inf + 1 17.008 * * [simplify]: Extracting #4: cost 8 inf + 84 17.008 * * [simplify]: Extracting #5: cost 2 inf + 1013 17.008 * * [simplify]: Extracting #6: cost 0 inf + 1376 17.009 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 17.009 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))))) 17.009 * * * * [progress]: [ 117 / 203 ] simplifiying candidate # 17.009 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 17.009 * * [simplify]: iters left: 6 (6 enodes) 17.013 * * [simplify]: iters left: 5 (21 enodes) 17.020 * * [simplify]: iters left: 4 (23 enodes) 17.027 * * [simplify]: Extracting #0: cost 1 inf + 0 17.027 * * [simplify]: Extracting #1: cost 4 inf + 0 17.027 * * [simplify]: Extracting #2: cost 6 inf + 1 17.027 * * [simplify]: Extracting #3: cost 9 inf + 1 17.028 * * [simplify]: Extracting #4: cost 8 inf + 2 17.028 * * [simplify]: Extracting #5: cost 1 inf + 810 17.028 * * [simplify]: Extracting #6: cost 0 inf + 972 17.028 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 17.028 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ 1 (fabs (cbrt 2))) (* (/ (cos th) (sqrt (cbrt 2))) (* a2 a2))))) 17.029 * * * * [progress]: [ 118 / 203 ] simplifiying candidate # 17.029 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 17.029 * * [simplify]: iters left: 4 (5 enodes) 17.032 * * [simplify]: iters left: 3 (17 enodes) 17.038 * * [simplify]: iters left: 2 (19 enodes) 17.045 * * [simplify]: Extracting #0: cost 1 inf + 0 17.045 * * [simplify]: Extracting #1: cost 4 inf + 0 17.045 * * [simplify]: Extracting #2: cost 5 inf + 1 17.045 * * [simplify]: Extracting #3: cost 7 inf + 1 17.045 * * [simplify]: Extracting #4: cost 0 inf + 490 17.046 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 17.046 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 17.046 * * * * [progress]: [ 119 / 203 ] simplifiying candidate # 17.046 * [simplify]: Simplifying (/ 1 (sqrt 1)) 17.046 * * [simplify]: iters left: 3 (3 enodes) 17.051 * * [simplify]: iters left: 2 (11 enodes) 17.053 * * [simplify]: iters left: 1 (13 enodes) 17.055 * * [simplify]: Extracting #0: cost 1 inf + 0 17.055 * * [simplify]: Extracting #1: cost 0 inf + 1 17.055 * [simplify]: Simplified to 1 17.055 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 17.055 * * * * [progress]: [ 120 / 203 ] simplifiying candidate # 17.055 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 17.055 * * [simplify]: iters left: 4 (5 enodes) 17.057 * * [simplify]: iters left: 3 (17 enodes) 17.060 * * [simplify]: iters left: 2 (19 enodes) 17.065 * * [simplify]: Extracting #0: cost 1 inf + 0 17.065 * * [simplify]: Extracting #1: cost 4 inf + 0 17.065 * * [simplify]: Extracting #2: cost 5 inf + 1 17.065 * * [simplify]: Extracting #3: cost 7 inf + 1 17.065 * * [simplify]: Extracting #4: cost 0 inf + 490 17.065 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 17.065 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 17.066 * * * * [progress]: [ 121 / 203 ] simplifiying candidate # 17.066 * [simplify]: Simplifying (/ 1 1) 17.066 * * [simplify]: iters left: 2 (2 enodes) 17.067 * * [simplify]: iters left: 1 (6 enodes) 17.068 * * [simplify]: Extracting #0: cost 1 inf + 0 17.068 * * [simplify]: Extracting #1: cost 0 inf + 1 17.068 * [simplify]: Simplified to 1 17.068 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 17.068 * * * * [progress]: [ 122 / 203 ] simplifiying candidate # 17.068 * * * * [progress]: [ 123 / 203 ] simplifiying candidate # 17.068 * [simplify]: Simplifying (cos th) 17.068 * * [simplify]: iters left: 1 (2 enodes) 17.069 * * [simplify]: Extracting #0: cost 1 inf + 0 17.069 * * [simplify]: Extracting #1: cost 3 inf + 0 17.069 * * [simplify]: Extracting #2: cost 2 inf + 1 17.069 * * [simplify]: Extracting #3: cost 0 inf + 123 17.069 * [simplify]: Simplified to (cos th) 17.069 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2))))) 17.069 * * * * [progress]: [ 124 / 203 ] simplifiying candidate # 17.069 * [simplify]: Simplifying (* (cos th) (* a2 a2)) 17.069 * * [simplify]: iters left: 4 (5 enodes) 17.070 * * [simplify]: iters left: 3 (18 enodes) 17.072 * * [simplify]: iters left: 2 (22 enodes) 17.075 * * [simplify]: Extracting #0: cost 1 inf + 0 17.075 * * [simplify]: Extracting #1: cost 6 inf + 0 17.075 * * [simplify]: Extracting #2: cost 8 inf + 42 17.075 * * [simplify]: Extracting #3: cost 6 inf + 84 17.075 * * [simplify]: Extracting #4: cost 0 inf + 694 17.076 * [simplify]: Simplified to (* (* a2 a2) (cos th)) 17.076 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2)))) 17.076 * * * * [progress]: [ 125 / 203 ] simplifiying candidate #real (real->posit16 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))> 17.076 * * * * [progress]: [ 126 / 203 ] simplifiying candidate # 17.076 * * * * [progress]: [ 127 / 203 ] simplifiying candidate # 17.076 * * * * [progress]: [ 128 / 203 ] simplifiying candidate # 17.076 * [simplify]: Simplifying (- (+ (log (cos th)) (log a1)) (- (log (sqrt 2)) (log a1))) 17.076 * * [simplify]: iters left: 6 (11 enodes) 17.079 * * [simplify]: iters left: 5 (42 enodes) 17.087 * * [simplify]: iters left: 4 (71 enodes) 17.111 * * [simplify]: iters left: 3 (106 enodes) 17.141 * * [simplify]: iters left: 2 (158 enodes) 17.168 * * [simplify]: iters left: 1 (208 enodes) 17.203 * * [simplify]: Extracting #0: cost 1 inf + 0 17.203 * * [simplify]: Extracting #1: cost 33 inf + 0 17.204 * * [simplify]: Extracting #2: cost 61 inf + 0 17.204 * * [simplify]: Extracting #3: cost 59 inf + 516 17.204 * * [simplify]: Extracting #4: cost 48 inf + 1628 17.206 * * [simplify]: Extracting #5: cost 23 inf + 8116 17.208 * * [simplify]: Extracting #6: cost 0 inf + 16059 17.211 * [simplify]: Simplified to (+ (log a1) (+ (log a1) (- (log (cos th)) (log (sqrt 2))))) 17.211 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (+ (log a1) (- (log (cos th)) (log (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 17.211 * * * * [progress]: [ 129 / 203 ] simplifiying candidate # 17.211 * [simplify]: Simplifying (- (+ (log (cos th)) (log a1)) (log (/ (sqrt 2) a1))) 17.211 * * [simplify]: iters left: 6 (11 enodes) 17.215 * * [simplify]: iters left: 5 (40 enodes) 17.227 * * [simplify]: iters left: 4 (60 enodes) 17.238 * * [simplify]: iters left: 3 (91 enodes) 17.252 * * [simplify]: iters left: 2 (129 enodes) 17.291 * * [simplify]: iters left: 1 (211 enodes) 17.372 * * [simplify]: Extracting #0: cost 1 inf + 0 17.372 * * [simplify]: Extracting #1: cost 30 inf + 0 17.373 * * [simplify]: Extracting #2: cost 61 inf + 0 17.374 * * [simplify]: Extracting #3: cost 61 inf + 405 17.374 * * [simplify]: Extracting #4: cost 53 inf + 964 17.376 * * [simplify]: Extracting #5: cost 29 inf + 5752 17.380 * * [simplify]: Extracting #6: cost 5 inf + 13037 17.385 * * [simplify]: Extracting #7: cost 0 inf + 14839 17.391 * [simplify]: Simplified to (+ (- (+ (log a1) (log a1)) (log (sqrt 2))) (log (cos th))) 17.391 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (+ (log a1) (log a1)) (log (sqrt 2))) (log (cos th)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 17.391 * * * * [progress]: [ 130 / 203 ] simplifiying candidate # 17.392 * [simplify]: Simplifying (- (log (* (cos th) a1)) (- (log (sqrt 2)) (log a1))) 17.392 * * [simplify]: iters left: 6 (11 enodes) 17.397 * * [simplify]: iters left: 5 (42 enodes) 17.410 * * [simplify]: iters left: 4 (65 enodes) 17.430 * * [simplify]: iters left: 3 (96 enodes) 17.447 * * [simplify]: iters left: 2 (147 enodes) 17.476 * * [simplify]: iters left: 1 (201 enodes) 17.546 * * [simplify]: Extracting #0: cost 1 inf + 0 17.546 * * [simplify]: Extracting #1: cost 38 inf + 0 17.547 * * [simplify]: Extracting #2: cost 71 inf + 0 17.547 * * [simplify]: Extracting #3: cost 73 inf + 183 17.548 * * [simplify]: Extracting #4: cost 58 inf + 1851 17.551 * * [simplify]: Extracting #5: cost 20 inf + 11462 17.559 * * [simplify]: Extracting #6: cost 1 inf + 18259 17.565 * * [simplify]: Extracting #7: cost 0 inf + 18511 17.571 * [simplify]: Simplified to (+ (- (log a1) (log (sqrt 2))) (log (* a1 (cos th)))) 17.571 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log a1) (log (sqrt 2))) (log (* a1 (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 17.572 * * * * [progress]: [ 131 / 203 ] simplifiying candidate # 17.572 * [simplify]: Simplifying (- (log (* (cos th) a1)) (log (/ (sqrt 2) a1))) 17.572 * * [simplify]: iters left: 6 (10 enodes) 17.577 * * [simplify]: iters left: 5 (38 enodes) 17.589 * * [simplify]: iters left: 4 (56 enodes) 17.607 * * [simplify]: iters left: 3 (82 enodes) 17.633 * * [simplify]: iters left: 2 (116 enodes) 17.665 * * [simplify]: iters left: 1 (173 enodes) 17.706 * * [simplify]: Extracting #0: cost 1 inf + 0 17.706 * * [simplify]: Extracting #1: cost 28 inf + 0 17.706 * * [simplify]: Extracting #2: cost 58 inf + 0 17.707 * * [simplify]: Extracting #3: cost 60 inf + 294 17.708 * * [simplify]: Extracting #4: cost 49 inf + 1338 17.710 * * [simplify]: Extracting #5: cost 22 inf + 6769 17.715 * * [simplify]: Extracting #6: cost 3 inf + 12077 17.719 * * [simplify]: Extracting #7: cost 0 inf + 13114 17.724 * [simplify]: Simplified to (- (log (* a1 (cos th))) (log (/ (sqrt 2) a1))) 17.724 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (log (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 17.724 * * * * [progress]: [ 132 / 203 ] simplifiying candidate # 17.724 * * * * [progress]: [ 133 / 203 ] simplifiying candidate # 17.724 * * * * [progress]: [ 134 / 203 ] simplifiying candidate # 17.725 * [simplify]: Simplifying (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* a1 a1) a1))) 17.725 * * [simplify]: iters left: 6 (14 enodes) 17.733 * * [simplify]: iters left: 5 (59 enodes) 17.757 * * [simplify]: iters left: 4 (208 enodes) 17.914 * * [simplify]: Extracting #0: cost 1 inf + 0 17.914 * * [simplify]: Extracting #1: cost 151 inf + 0 17.917 * * [simplify]: Extracting #2: cost 368 inf + 246 17.928 * * [simplify]: Extracting #3: cost 191 inf + 39874 17.953 * * [simplify]: Extracting #4: cost 5 inf + 87230 17.975 * * [simplify]: Extracting #5: cost 0 inf + 86323 18.004 * * [simplify]: Extracting #6: cost 0 inf + 85563 18.041 * [simplify]: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (* (* a1 a1) (* a1 a1)))) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) 18.041 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (* (* a1 a1) (* a1 a1)))) (/ (cos th) (/ (sqrt 2) (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.042 * * * * [progress]: [ 135 / 203 ] simplifiying candidate # 18.042 * [simplify]: Simplifying (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (sqrt 2) a1) (/ (sqrt 2) a1)) (/ (sqrt 2) a1))) 18.042 * * [simplify]: iters left: 6 (14 enodes) 18.050 * * [simplify]: iters left: 5 (63 enodes) 18.076 * * [simplify]: iters left: 4 (202 enodes) 18.225 * * [simplify]: Extracting #0: cost 1 inf + 0 18.225 * * [simplify]: Extracting #1: cost 100 inf + 0 18.226 * * [simplify]: Extracting #2: cost 289 inf + 123 18.230 * * [simplify]: Extracting #3: cost 219 inf + 19337 18.248 * * [simplify]: Extracting #4: cost 21 inf + 67948 18.280 * * [simplify]: Extracting #5: cost 0 inf + 70815 18.299 * * [simplify]: Extracting #6: cost 0 inf + 70535 18.320 * [simplify]: Simplified to (* (/ (cos th) (/ (/ (sqrt 2) a1) a1)) (/ (* (cos th) (cos th)) (* (/ (/ (sqrt 2) a1) a1) (/ (/ (sqrt 2) a1) a1)))) 18.320 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (cos th) (/ (/ (sqrt 2) a1) a1)) (/ (* (cos th) (cos th)) (* (/ (/ (sqrt 2) a1) a1) (/ (/ (sqrt 2) a1) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.321 * * * * [progress]: [ 136 / 203 ] simplifiying candidate # 18.321 * [simplify]: Simplifying (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* a1 a1) a1))) 18.321 * * [simplify]: iters left: 6 (14 enodes) 18.330 * * [simplify]: iters left: 5 (63 enodes) 18.353 * * [simplify]: iters left: 4 (217 enodes) 18.510 * * [simplify]: Extracting #0: cost 1 inf + 0 18.510 * * [simplify]: Extracting #1: cost 156 inf + 0 18.513 * * [simplify]: Extracting #2: cost 394 inf + 167 18.528 * * [simplify]: Extracting #3: cost 171 inf + 49436 18.568 * * [simplify]: Extracting #4: cost 2 inf + 93810 18.598 * * [simplify]: Extracting #5: cost 0 inf + 94336 18.628 * [simplify]: Simplified to (* (/ (* a1 (* a1 (cos th))) (/ 2 (* a1 (* a1 (cos th))))) (/ (* a1 (* a1 (cos th))) (sqrt 2))) 18.628 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* a1 (* a1 (cos th))) (/ 2 (* a1 (* a1 (cos th))))) (/ (* a1 (* a1 (cos th))) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.628 * * * * [progress]: [ 137 / 203 ] simplifiying candidate # 18.628 * [simplify]: Simplifying (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (sqrt 2) a1) (/ (sqrt 2) a1)) (/ (sqrt 2) a1))) 18.628 * * [simplify]: iters left: 6 (12 enodes) 18.632 * * [simplify]: iters left: 5 (61 enodes) 18.646 * * [simplify]: iters left: 4 (213 enodes) 18.783 * * [simplify]: Extracting #0: cost 1 inf + 0 18.784 * * [simplify]: Extracting #1: cost 111 inf + 0 18.785 * * [simplify]: Extracting #2: cost 291 inf + 2 18.788 * * [simplify]: Extracting #3: cost 219 inf + 16300 18.807 * * [simplify]: Extracting #4: cost 33 inf + 63218 18.843 * * [simplify]: Extracting #5: cost 0 inf + 70881 18.876 * * [simplify]: Extracting #6: cost 0 inf + 70721 18.895 * [simplify]: Simplified to (* (* (/ a1 (/ (sqrt 2) a1)) (cos th)) (* (* (/ a1 (/ (sqrt 2) a1)) (cos th)) (* (/ a1 (/ (sqrt 2) a1)) (cos th)))) 18.895 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ a1 (/ (sqrt 2) a1)) (cos th)) (* (* (/ a1 (/ (sqrt 2) a1)) (cos th)) (* (/ a1 (/ (sqrt 2) a1)) (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.895 * * * * [progress]: [ 138 / 203 ] simplifiying candidate # 18.895 * * * * [progress]: [ 139 / 203 ] simplifiying candidate # 18.895 * * * * [progress]: [ 140 / 203 ] simplifiying candidate # 18.895 * * * * [progress]: [ 141 / 203 ] simplifiying candidate # 18.895 * * * * [progress]: [ 142 / 203 ] simplifiying candidate # 18.895 * [simplify]: Simplifying (/ (cos th) (* (cbrt (/ (sqrt 2) a1)) (cbrt (/ (sqrt 2) a1)))) 18.895 * * [simplify]: iters left: 6 (9 enodes) 18.898 * * [simplify]: iters left: 5 (29 enodes) 18.902 * * [simplify]: iters left: 4 (31 enodes) 18.908 * * [simplify]: Extracting #0: cost 1 inf + 0 18.908 * * [simplify]: Extracting #1: cost 6 inf + 0 18.908 * * [simplify]: Extracting #2: cost 12 inf + 0 18.909 * * [simplify]: Extracting #3: cost 14 inf + 1 18.909 * * [simplify]: Extracting #4: cost 13 inf + 124 18.909 * * [simplify]: Extracting #5: cost 9 inf + 289 18.909 * * [simplify]: Extracting #6: cost 5 inf + 998 18.910 * * [simplify]: Extracting #7: cost 0 inf + 2231 18.910 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (/ (sqrt 2) a1))) (cbrt (/ (sqrt 2) a1))) 18.910 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (/ (sqrt 2) a1))) (cbrt (/ (sqrt 2) a1))) (/ a1 (cbrt (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.911 * [simplify]: Simplifying (/ a1 (cbrt (/ (sqrt 2) a1))) 18.911 * * [simplify]: iters left: 6 (6 enodes) 18.914 * * [simplify]: iters left: 5 (18 enodes) 18.920 * * [simplify]: Extracting #0: cost 1 inf + 0 18.920 * * [simplify]: Extracting #1: cost 4 inf + 0 18.920 * * [simplify]: Extracting #2: cost 5 inf + 1 18.920 * * [simplify]: Extracting #3: cost 7 inf + 1 18.920 * * [simplify]: Extracting #4: cost 9 inf + 1 18.921 * * [simplify]: Extracting #5: cost 0 inf + 976 18.921 * [simplify]: Simplified to (/ a1 (cbrt (/ (sqrt 2) a1))) 18.921 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (/ (sqrt 2) a1)) (cbrt (/ (sqrt 2) a1)))) (/ a1 (cbrt (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.921 * * * * [progress]: [ 143 / 203 ] simplifiying candidate # 18.922 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (sqrt 2) a1))) 18.922 * * [simplify]: iters left: 6 (8 enodes) 18.926 * * [simplify]: iters left: 5 (24 enodes) 18.933 * * [simplify]: Extracting #0: cost 1 inf + 0 18.933 * * [simplify]: Extracting #1: cost 4 inf + 0 18.933 * * [simplify]: Extracting #2: cost 8 inf + 0 18.934 * * [simplify]: Extracting #3: cost 10 inf + 1 18.934 * * [simplify]: Extracting #4: cost 9 inf + 124 18.934 * * [simplify]: Extracting #5: cost 6 inf + 248 18.934 * * [simplify]: Extracting #6: cost 1 inf + 838 18.934 * * [simplify]: Extracting #7: cost 0 inf + 1061 18.935 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (sqrt 2) a1))) 18.935 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (/ (sqrt 2) a1))) (/ a1 (sqrt (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.935 * [simplify]: Simplifying (/ a1 (sqrt (/ (sqrt 2) a1))) 18.935 * * [simplify]: iters left: 6 (6 enodes) 18.938 * * [simplify]: iters left: 5 (18 enodes) 18.944 * * [simplify]: Extracting #0: cost 1 inf + 0 18.944 * * [simplify]: Extracting #1: cost 4 inf + 0 18.944 * * [simplify]: Extracting #2: cost 5 inf + 1 18.944 * * [simplify]: Extracting #3: cost 7 inf + 1 18.944 * * [simplify]: Extracting #4: cost 9 inf + 1 18.945 * * [simplify]: Extracting #5: cost 0 inf + 816 18.945 * [simplify]: Simplified to (/ a1 (sqrt (/ (sqrt 2) a1))) 18.945 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (/ (sqrt 2) a1))) (/ a1 (sqrt (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 18.945 * * * * [progress]: [ 144 / 203 ] simplifiying candidate # 18.946 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 18.946 * * [simplify]: iters left: 6 (11 enodes) 18.951 * * [simplify]: iters left: 5 (41 enodes) 18.965 * * [simplify]: iters left: 4 (70 enodes) 18.992 * * [simplify]: iters left: 3 (107 enodes) 19.009 * * [simplify]: iters left: 2 (137 enodes) 19.030 * * [simplify]: iters left: 1 (171 enodes) 19.059 * * [simplify]: Extracting #0: cost 1 inf + 0 19.059 * * [simplify]: Extracting #1: cost 29 inf + 0 19.059 * * [simplify]: Extracting #2: cost 54 inf + 0 19.059 * * [simplify]: Extracting #3: cost 51 inf + 265 19.060 * * [simplify]: Extracting #4: cost 25 inf + 5550 19.062 * * [simplify]: Extracting #5: cost 1 inf + 12887 19.064 * * [simplify]: Extracting #6: cost 0 inf + 13109 19.067 * [simplify]: Simplified to (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 19.067 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ a1 (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.067 * [simplify]: Simplifying (/ a1 (/ (cbrt (sqrt 2)) (cbrt a1))) 19.067 * * [simplify]: iters left: 6 (7 enodes) 19.069 * * [simplify]: iters left: 5 (23 enodes) 19.074 * * [simplify]: iters left: 4 (28 enodes) 19.078 * * [simplify]: iters left: 3 (32 enodes) 19.083 * * [simplify]: Extracting #0: cost 1 inf + 0 19.083 * * [simplify]: Extracting #1: cost 8 inf + 0 19.083 * * [simplify]: Extracting #2: cost 13 inf + 1 19.083 * * [simplify]: Extracting #3: cost 11 inf + 405 19.083 * * [simplify]: Extracting #4: cost 10 inf + 406 19.083 * * [simplify]: Extracting #5: cost 4 inf + 1134 19.084 * * [simplify]: Extracting #6: cost 1 inf + 1820 19.084 * * [simplify]: Extracting #7: cost 0 inf + 2102 19.084 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt a1)) 19.084 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (* (/ a1 (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.084 * * * * [progress]: [ 145 / 203 ] simplifiying candidate # 19.085 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) 19.085 * * [simplify]: iters left: 6 (10 enodes) 19.087 * * [simplify]: iters left: 5 (34 enodes) 19.093 * * [simplify]: iters left: 4 (46 enodes) 19.102 * * [simplify]: iters left: 3 (65 enodes) 19.121 * * [simplify]: iters left: 2 (71 enodes) 19.139 * * [simplify]: iters left: 1 (79 enodes) 19.160 * * [simplify]: Extracting #0: cost 1 inf + 0 19.160 * * [simplify]: Extracting #1: cost 16 inf + 0 19.160 * * [simplify]: Extracting #2: cost 32 inf + 0 19.160 * * [simplify]: Extracting #3: cost 29 inf + 145 19.161 * * [simplify]: Extracting #4: cost 16 inf + 2327 19.162 * * [simplify]: Extracting #5: cost 0 inf + 5919 19.164 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 19.164 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ a1 (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.165 * [simplify]: Simplifying (/ a1 (/ (cbrt (sqrt 2)) (sqrt a1))) 19.165 * * [simplify]: iters left: 6 (7 enodes) 19.169 * * [simplify]: iters left: 5 (23 enodes) 19.178 * * [simplify]: iters left: 4 (28 enodes) 19.187 * * [simplify]: iters left: 3 (32 enodes) 19.196 * * [simplify]: Extracting #0: cost 1 inf + 0 19.196 * * [simplify]: Extracting #1: cost 8 inf + 0 19.196 * * [simplify]: Extracting #2: cost 13 inf + 1 19.196 * * [simplify]: Extracting #3: cost 11 inf + 245 19.197 * * [simplify]: Extracting #4: cost 10 inf + 246 19.197 * * [simplify]: Extracting #5: cost 4 inf + 934 19.197 * * [simplify]: Extracting #6: cost 1 inf + 1540 19.198 * * [simplify]: Extracting #7: cost 0 inf + 1782 19.198 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (sqrt a1)) 19.198 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) (* (/ a1 (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.199 * * * * [progress]: [ 146 / 203 ] simplifiying candidate # 19.199 * [simplify]: Simplifying (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 19.199 * * [simplify]: iters left: 6 (9 enodes) 19.203 * * [simplify]: iters left: 5 (31 enodes) 19.209 * * [simplify]: iters left: 4 (46 enodes) 19.216 * * [simplify]: iters left: 3 (57 enodes) 19.224 * * [simplify]: iters left: 2 (64 enodes) 19.234 * * [simplify]: iters left: 1 (77 enodes) 19.246 * * [simplify]: Extracting #0: cost 1 inf + 0 19.246 * * [simplify]: Extracting #1: cost 12 inf + 0 19.246 * * [simplify]: Extracting #2: cost 21 inf + 1 19.247 * * [simplify]: Extracting #3: cost 22 inf + 2 19.247 * * [simplify]: Extracting #4: cost 17 inf + 347 19.247 * * [simplify]: Extracting #5: cost 3 inf + 2951 19.248 * * [simplify]: Extracting #6: cost 0 inf + 3637 19.249 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 19.249 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ a1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.249 * [simplify]: Simplifying (/ a1 (/ (cbrt (sqrt 2)) a1)) 19.249 * * [simplify]: iters left: 6 (6 enodes) 19.251 * * [simplify]: iters left: 5 (20 enodes) 19.255 * * [simplify]: iters left: 4 (25 enodes) 19.262 * * [simplify]: iters left: 3 (27 enodes) 19.270 * * [simplify]: Extracting #0: cost 1 inf + 0 19.270 * * [simplify]: Extracting #1: cost 7 inf + 0 19.270 * * [simplify]: Extracting #2: cost 10 inf + 42 19.270 * * [simplify]: Extracting #3: cost 11 inf + 83 19.270 * * [simplify]: Extracting #4: cost 10 inf + 84 19.270 * * [simplify]: Extracting #5: cost 6 inf + 489 19.271 * * [simplify]: Extracting #6: cost 0 inf + 1460 19.271 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 19.271 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.271 * * * * [progress]: [ 147 / 203 ] simplifiying candidate # 19.271 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt a1) (cbrt a1)))) 19.272 * * [simplify]: iters left: 6 (11 enodes) 19.279 * * [simplify]: iters left: 5 (38 enodes) 19.291 * * [simplify]: iters left: 4 (49 enodes) 19.306 * * [simplify]: iters left: 3 (61 enodes) 19.323 * * [simplify]: iters left: 2 (69 enodes) 19.341 * * [simplify]: iters left: 1 (75 enodes) 19.360 * * [simplify]: Extracting #0: cost 1 inf + 0 19.361 * * [simplify]: Extracting #1: cost 14 inf + 0 19.361 * * [simplify]: Extracting #2: cost 30 inf + 0 19.361 * * [simplify]: Extracting #3: cost 27 inf + 346 19.362 * * [simplify]: Extracting #4: cost 13 inf + 2527 19.363 * * [simplify]: Extracting #5: cost 2 inf + 5492 19.365 * * [simplify]: Extracting #6: cost 0 inf + 6057 19.366 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1)))) 19.366 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (sqrt (cbrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.367 * [simplify]: Simplifying (/ a1 (/ (sqrt (cbrt 2)) (cbrt a1))) 19.367 * * [simplify]: iters left: 6 (7 enodes) 19.371 * * [simplify]: iters left: 5 (23 enodes) 19.376 * * [simplify]: iters left: 4 (28 enodes) 19.380 * * [simplify]: iters left: 3 (32 enodes) 19.384 * * [simplify]: Extracting #0: cost 1 inf + 0 19.384 * * [simplify]: Extracting #1: cost 8 inf + 0 19.385 * * [simplify]: Extracting #2: cost 13 inf + 1 19.385 * * [simplify]: Extracting #3: cost 11 inf + 405 19.385 * * [simplify]: Extracting #4: cost 10 inf + 406 19.385 * * [simplify]: Extracting #5: cost 4 inf + 1214 19.385 * * [simplify]: Extracting #6: cost 1 inf + 1900 19.385 * * [simplify]: Extracting #7: cost 0 inf + 2182 19.386 * [simplify]: Simplified to (* (/ a1 (sqrt (cbrt 2))) (cbrt a1)) 19.386 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (fabs (cbrt 2)) (* (cbrt a1) (cbrt a1)))) (* (/ a1 (sqrt (cbrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.386 * * * * [progress]: [ 148 / 203 ] simplifiying candidate # 19.386 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt a1))) 19.386 * * [simplify]: iters left: 6 (10 enodes) 19.388 * * [simplify]: iters left: 5 (33 enodes) 19.393 * * [simplify]: iters left: 4 (38 enodes) 19.399 * * [simplify]: iters left: 3 (42 enodes) 19.410 * * [simplify]: Extracting #0: cost 1 inf + 0 19.411 * * [simplify]: Extracting #1: cost 8 inf + 0 19.411 * * [simplify]: Extracting #2: cost 18 inf + 0 19.411 * * [simplify]: Extracting #3: cost 18 inf + 43 19.411 * * [simplify]: Extracting #4: cost 11 inf + 631 19.412 * * [simplify]: Extracting #5: cost 2 inf + 2167 19.413 * * [simplify]: Extracting #6: cost 0 inf + 2591 19.414 * [simplify]: Simplified to (* (/ (cos th) (fabs (cbrt 2))) (sqrt a1)) 19.414 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (fabs (cbrt 2))) (sqrt a1)) (/ a1 (/ (sqrt (cbrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.414 * [simplify]: Simplifying (/ a1 (/ (sqrt (cbrt 2)) (sqrt a1))) 19.414 * * [simplify]: iters left: 6 (7 enodes) 19.418 * * [simplify]: iters left: 5 (23 enodes) 19.425 * * [simplify]: iters left: 4 (28 enodes) 19.434 * * [simplify]: iters left: 3 (32 enodes) 19.443 * * [simplify]: Extracting #0: cost 1 inf + 0 19.443 * * [simplify]: Extracting #1: cost 8 inf + 0 19.443 * * [simplify]: Extracting #2: cost 13 inf + 1 19.443 * * [simplify]: Extracting #3: cost 11 inf + 245 19.443 * * [simplify]: Extracting #4: cost 10 inf + 246 19.444 * * [simplify]: Extracting #5: cost 4 inf + 1014 19.444 * * [simplify]: Extracting #6: cost 1 inf + 1620 19.445 * * [simplify]: Extracting #7: cost 0 inf + 1862 19.445 * [simplify]: Simplified to (* (/ a1 (sqrt (cbrt 2))) (sqrt a1)) 19.445 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (fabs (cbrt 2))) (sqrt a1)) (* (/ a1 (sqrt (cbrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.445 * * * * [progress]: [ 149 / 203 ] simplifiying candidate # 19.446 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) 19.446 * * [simplify]: iters left: 6 (9 enodes) 19.451 * * [simplify]: iters left: 5 (29 enodes) 19.460 * * [simplify]: iters left: 4 (35 enodes) 19.470 * * [simplify]: iters left: 3 (39 enodes) 19.481 * * [simplify]: iters left: 2 (41 enodes) 19.492 * * [simplify]: iters left: 1 (46 enodes) 19.505 * * [simplify]: Extracting #0: cost 1 inf + 0 19.505 * * [simplify]: Extracting #1: cost 8 inf + 0 19.506 * * [simplify]: Extracting #2: cost 14 inf + 1 19.506 * * [simplify]: Extracting #3: cost 16 inf + 2 19.506 * * [simplify]: Extracting #4: cost 10 inf + 549 19.507 * * [simplify]: Extracting #5: cost 1 inf + 2064 19.507 * * [simplify]: Extracting #6: cost 0 inf + 2185 19.508 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt 2))) 19.508 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt 2))) (/ a1 (/ (sqrt (cbrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.508 * [simplify]: Simplifying (/ a1 (/ (sqrt (cbrt 2)) a1)) 19.509 * * [simplify]: iters left: 6 (6 enodes) 19.512 * * [simplify]: iters left: 5 (20 enodes) 19.518 * * [simplify]: iters left: 4 (25 enodes) 19.526 * * [simplify]: iters left: 3 (27 enodes) 19.534 * * [simplify]: Extracting #0: cost 1 inf + 0 19.534 * * [simplify]: Extracting #1: cost 7 inf + 0 19.534 * * [simplify]: Extracting #2: cost 10 inf + 42 19.534 * * [simplify]: Extracting #3: cost 11 inf + 83 19.535 * * [simplify]: Extracting #4: cost 10 inf + 84 19.535 * * [simplify]: Extracting #5: cost 6 inf + 569 19.535 * * [simplify]: Extracting #6: cost 0 inf + 1540 19.536 * [simplify]: Simplified to (/ (* a1 a1) (sqrt (cbrt 2))) 19.536 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt 2))) (/ (* a1 a1) (sqrt (cbrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.536 * * * * [progress]: [ 150 / 203 ] simplifiying candidate # 19.536 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) 19.536 * * [simplify]: iters left: 6 (10 enodes) 19.541 * * [simplify]: iters left: 5 (34 enodes) 19.551 * * [simplify]: iters left: 4 (45 enodes) 19.567 * * [simplify]: iters left: 3 (57 enodes) 19.584 * * [simplify]: iters left: 2 (65 enodes) 19.598 * * [simplify]: iters left: 1 (71 enodes) 19.606 * * [simplify]: Extracting #0: cost 1 inf + 0 19.607 * * [simplify]: Extracting #1: cost 14 inf + 0 19.607 * * [simplify]: Extracting #2: cost 29 inf + 0 19.607 * * [simplify]: Extracting #3: cost 28 inf + 63 19.607 * * [simplify]: Extracting #4: cost 12 inf + 1985 19.608 * * [simplify]: Extracting #5: cost 1 inf + 4893 19.608 * * [simplify]: Extracting #6: cost 0 inf + 5095 19.609 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt a1)) (/ (sqrt (sqrt 2)) (cos th))) 19.609 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (sqrt (sqrt 2)) (cos th))) (/ a1 (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.610 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) (cbrt a1))) 19.610 * * [simplify]: iters left: 6 (7 enodes) 19.612 * * [simplify]: iters left: 5 (23 enodes) 19.616 * * [simplify]: iters left: 4 (28 enodes) 19.620 * * [simplify]: iters left: 3 (32 enodes) 19.625 * * [simplify]: Extracting #0: cost 1 inf + 0 19.625 * * [simplify]: Extracting #1: cost 8 inf + 0 19.625 * * [simplify]: Extracting #2: cost 13 inf + 1 19.625 * * [simplify]: Extracting #3: cost 11 inf + 405 19.625 * * [simplify]: Extracting #4: cost 10 inf + 406 19.625 * * [simplify]: Extracting #5: cost 4 inf + 974 19.625 * * [simplify]: Extracting #6: cost 1 inf + 1540 19.625 * * [simplify]: Extracting #7: cost 0 inf + 1782 19.626 * [simplify]: Simplified to (* (/ a1 (sqrt (sqrt 2))) (cbrt a1)) 19.626 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (* (/ a1 (sqrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.626 * * * * [progress]: [ 151 / 203 ] simplifiying candidate # 19.626 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) 19.626 * * [simplify]: iters left: 6 (9 enodes) 19.628 * * [simplify]: iters left: 5 (29 enodes) 19.636 * * [simplify]: iters left: 4 (34 enodes) 19.644 * * [simplify]: iters left: 3 (38 enodes) 19.649 * * [simplify]: Extracting #0: cost 1 inf + 0 19.649 * * [simplify]: Extracting #1: cost 8 inf + 0 19.649 * * [simplify]: Extracting #2: cost 17 inf + 0 19.649 * * [simplify]: Extracting #3: cost 17 inf + 2 19.650 * * [simplify]: Extracting #4: cost 11 inf + 248 19.650 * * [simplify]: Extracting #5: cost 5 inf + 998 19.650 * * [simplify]: Extracting #6: cost 0 inf + 1949 19.650 * [simplify]: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) 19.650 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) (/ a1 (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.651 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) (sqrt a1))) 19.651 * * [simplify]: iters left: 6 (7 enodes) 19.653 * * [simplify]: iters left: 5 (23 enodes) 19.656 * * [simplify]: iters left: 4 (28 enodes) 19.663 * * [simplify]: iters left: 3 (32 enodes) 19.667 * * [simplify]: Extracting #0: cost 1 inf + 0 19.667 * * [simplify]: Extracting #1: cost 8 inf + 0 19.667 * * [simplify]: Extracting #2: cost 13 inf + 1 19.667 * * [simplify]: Extracting #3: cost 11 inf + 245 19.667 * * [simplify]: Extracting #4: cost 10 inf + 246 19.668 * * [simplify]: Extracting #5: cost 4 inf + 774 19.668 * * [simplify]: Extracting #6: cost 1 inf + 1260 19.668 * * [simplify]: Extracting #7: cost 0 inf + 1462 19.668 * [simplify]: Simplified to (* (/ a1 (sqrt (sqrt 2))) (sqrt a1)) 19.668 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) (* (/ a1 (sqrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.669 * * * * [progress]: [ 152 / 203 ] simplifiying candidate # 19.669 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) 1)) 19.669 * * [simplify]: iters left: 6 (8 enodes) 19.672 * * [simplify]: iters left: 5 (26 enodes) 19.676 * * [simplify]: iters left: 4 (30 enodes) 19.681 * * [simplify]: iters left: 3 (33 enodes) 19.686 * * [simplify]: iters left: 2 (34 enodes) 19.691 * * [simplify]: iters left: 1 (36 enodes) 19.696 * * [simplify]: Extracting #0: cost 1 inf + 0 19.696 * * [simplify]: Extracting #1: cost 6 inf + 0 19.696 * * [simplify]: Extracting #2: cost 10 inf + 1 19.696 * * [simplify]: Extracting #3: cost 11 inf + 2 19.696 * * [simplify]: Extracting #4: cost 8 inf + 105 19.696 * * [simplify]: Extracting #5: cost 3 inf + 551 19.696 * * [simplify]: Extracting #6: cost 0 inf + 1097 19.696 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 19.696 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ a1 (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.697 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) a1)) 19.697 * * [simplify]: iters left: 6 (6 enodes) 19.699 * * [simplify]: iters left: 5 (20 enodes) 19.705 * * [simplify]: iters left: 4 (25 enodes) 19.713 * * [simplify]: iters left: 3 (27 enodes) 19.721 * * [simplify]: Extracting #0: cost 1 inf + 0 19.721 * * [simplify]: Extracting #1: cost 7 inf + 0 19.721 * * [simplify]: Extracting #2: cost 10 inf + 42 19.721 * * [simplify]: Extracting #3: cost 11 inf + 83 19.722 * * [simplify]: Extracting #4: cost 10 inf + 84 19.722 * * [simplify]: Extracting #5: cost 6 inf + 409 19.722 * * [simplify]: Extracting #6: cost 0 inf + 1140 19.723 * [simplify]: Simplified to (/ (* a1 a1) (sqrt (sqrt 2))) 19.723 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.723 * * * * [progress]: [ 153 / 203 ] simplifiying candidate # 19.723 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) (* (cbrt a1) (cbrt a1)))) 19.724 * * [simplify]: iters left: 6 (9 enodes) 19.729 * * [simplify]: iters left: 5 (33 enodes) 19.739 * * [simplify]: iters left: 4 (47 enodes) 19.753 * * [simplify]: iters left: 3 (68 enodes) 19.772 * * [simplify]: iters left: 2 (82 enodes) 19.798 * * [simplify]: iters left: 1 (105 enodes) 19.829 * * [simplify]: Extracting #0: cost 1 inf + 0 19.829 * * [simplify]: Extracting #1: cost 11 inf + 0 19.829 * * [simplify]: Extracting #2: cost 20 inf + 1 19.830 * * [simplify]: Extracting #3: cost 16 inf + 206 19.830 * * [simplify]: Extracting #4: cost 10 inf + 814 19.831 * * [simplify]: Extracting #5: cost 1 inf + 2373 19.832 * * [simplify]: Extracting #6: cost 0 inf + 2555 19.833 * [simplify]: Simplified to (* (cos th) (* (cbrt a1) (cbrt a1))) 19.833 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (cbrt a1) (cbrt a1))) (/ a1 (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.833 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) (cbrt a1))) 19.834 * * [simplify]: iters left: 5 (6 enodes) 19.837 * * [simplify]: iters left: 4 (20 enodes) 19.843 * * [simplify]: iters left: 3 (25 enodes) 19.846 * * [simplify]: iters left: 2 (29 enodes) 19.850 * * [simplify]: Extracting #0: cost 1 inf + 0 19.850 * * [simplify]: Extracting #1: cost 8 inf + 0 19.850 * * [simplify]: Extracting #2: cost 13 inf + 1 19.851 * * [simplify]: Extracting #3: cost 10 inf + 204 19.851 * * [simplify]: Extracting #4: cost 1 inf + 1178 19.851 * * [simplify]: Extracting #5: cost 0 inf + 1380 19.851 * [simplify]: Simplified to (/ (* (cbrt a1) a1) (sqrt 2)) 19.851 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (cbrt a1) (cbrt a1))) (/ (* (cbrt a1) a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.851 * * * * [progress]: [ 154 / 203 ] simplifiying candidate # 19.851 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) (sqrt a1))) 19.852 * * [simplify]: iters left: 5 (8 enodes) 19.854 * * [simplify]: iters left: 4 (28 enodes) 19.858 * * [simplify]: iters left: 3 (33 enodes) 19.863 * * [simplify]: iters left: 2 (40 enodes) 19.868 * * [simplify]: iters left: 1 (41 enodes) 19.877 * * [simplify]: Extracting #0: cost 1 inf + 0 19.877 * * [simplify]: Extracting #1: cost 7 inf + 0 19.878 * * [simplify]: Extracting #2: cost 11 inf + 1 19.878 * * [simplify]: Extracting #3: cost 9 inf + 3 19.878 * * [simplify]: Extracting #4: cost 1 inf + 716 19.878 * * [simplify]: Extracting #5: cost 0 inf + 757 19.878 * [simplify]: Simplified to (* (sqrt a1) (cos th)) 19.879 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (cos th)) (/ a1 (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.879 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) (sqrt a1))) 19.879 * * [simplify]: iters left: 5 (6 enodes) 19.882 * * [simplify]: iters left: 4 (20 enodes) 19.889 * * [simplify]: iters left: 3 (25 enodes) 19.897 * * [simplify]: iters left: 2 (29 enodes) 19.908 * * [simplify]: Extracting #0: cost 1 inf + 0 19.908 * * [simplify]: Extracting #1: cost 8 inf + 0 19.908 * * [simplify]: Extracting #2: cost 13 inf + 1 19.908 * * [simplify]: Extracting #3: cost 10 inf + 124 19.909 * * [simplify]: Extracting #4: cost 1 inf + 898 19.909 * * [simplify]: Extracting #5: cost 0 inf + 1060 19.909 * [simplify]: Simplified to (/ (* (sqrt a1) a1) (sqrt 2)) 19.910 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (cos th)) (/ (* (sqrt a1) a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.910 * * * * [progress]: [ 155 / 203 ] simplifiying candidate # 19.910 * [simplify]: Simplifying (/ (cos th) (/ (sqrt 1) 1)) 19.910 * * [simplify]: iters left: 5 (6 enodes) 19.915 * * [simplify]: iters left: 4 (20 enodes) 19.921 * * [simplify]: iters left: 3 (22 enodes) 19.926 * * [simplify]: iters left: 2 (25 enodes) 19.931 * * [simplify]: iters left: 1 (26 enodes) 19.938 * * [simplify]: Extracting #0: cost 1 inf + 0 19.938 * * [simplify]: Extracting #1: cost 5 inf + 0 19.938 * * [simplify]: Extracting #2: cost 3 inf + 2 19.938 * * [simplify]: Extracting #3: cost 2 inf + 63 19.938 * * [simplify]: Extracting #4: cost 0 inf + 226 19.938 * [simplify]: Simplified to (cos th) 19.938 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.939 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) a1)) 19.939 * * [simplify]: iters left: 5 (5 enodes) 19.941 * * [simplify]: iters left: 4 (17 enodes) 19.947 * * [simplify]: iters left: 3 (22 enodes) 19.954 * * [simplify]: iters left: 2 (24 enodes) 19.961 * * [simplify]: Extracting #0: cost 1 inf + 0 19.961 * * [simplify]: Extracting #1: cost 7 inf + 0 19.962 * * [simplify]: Extracting #2: cost 11 inf + 1 19.962 * * [simplify]: Extracting #3: cost 8 inf + 84 19.962 * * [simplify]: Extracting #4: cost 0 inf + 738 19.962 * [simplify]: Simplified to (/ a1 (/ (sqrt 2) a1)) 19.962 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 19.962 * * * * [progress]: [ 156 / 203 ] simplifiying candidate # 19.963 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) 19.963 * * [simplify]: iters left: 6 (10 enodes) 19.968 * * [simplify]: iters left: 5 (34 enodes) 19.979 * * [simplify]: iters left: 4 (45 enodes) 19.993 * * [simplify]: iters left: 3 (57 enodes) 20.009 * * [simplify]: iters left: 2 (65 enodes) 20.026 * * [simplify]: iters left: 1 (71 enodes) 20.045 * * [simplify]: Extracting #0: cost 1 inf + 0 20.045 * * [simplify]: Extracting #1: cost 14 inf + 0 20.045 * * [simplify]: Extracting #2: cost 29 inf + 0 20.045 * * [simplify]: Extracting #3: cost 28 inf + 63 20.046 * * [simplify]: Extracting #4: cost 12 inf + 1985 20.047 * * [simplify]: Extracting #5: cost 1 inf + 4893 20.048 * * [simplify]: Extracting #6: cost 0 inf + 5095 20.050 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt a1)) (/ (sqrt (sqrt 2)) (cos th))) 20.050 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (sqrt (sqrt 2)) (cos th))) (/ a1 (/ (sqrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.050 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) (cbrt a1))) 20.050 * * [simplify]: iters left: 6 (7 enodes) 20.054 * * [simplify]: iters left: 5 (23 enodes) 20.063 * * [simplify]: iters left: 4 (28 enodes) 20.072 * * [simplify]: iters left: 3 (32 enodes) 20.081 * * [simplify]: Extracting #0: cost 1 inf + 0 20.081 * * [simplify]: Extracting #1: cost 8 inf + 0 20.081 * * [simplify]: Extracting #2: cost 13 inf + 1 20.081 * * [simplify]: Extracting #3: cost 11 inf + 405 20.081 * * [simplify]: Extracting #4: cost 10 inf + 406 20.081 * * [simplify]: Extracting #5: cost 4 inf + 974 20.082 * * [simplify]: Extracting #6: cost 1 inf + 1540 20.082 * * [simplify]: Extracting #7: cost 0 inf + 1782 20.083 * [simplify]: Simplified to (* (/ a1 (sqrt (sqrt 2))) (cbrt a1)) 20.083 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (* (/ a1 (sqrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.083 * * * * [progress]: [ 157 / 203 ] simplifiying candidate # 20.083 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) 20.084 * * [simplify]: iters left: 6 (9 enodes) 20.088 * * [simplify]: iters left: 5 (29 enodes) 20.096 * * [simplify]: iters left: 4 (34 enodes) 20.101 * * [simplify]: iters left: 3 (38 enodes) 20.106 * * [simplify]: Extracting #0: cost 1 inf + 0 20.106 * * [simplify]: Extracting #1: cost 8 inf + 0 20.106 * * [simplify]: Extracting #2: cost 17 inf + 0 20.106 * * [simplify]: Extracting #3: cost 17 inf + 2 20.107 * * [simplify]: Extracting #4: cost 11 inf + 248 20.107 * * [simplify]: Extracting #5: cost 5 inf + 998 20.107 * * [simplify]: Extracting #6: cost 0 inf + 1949 20.107 * [simplify]: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) 20.107 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) (/ a1 (/ (sqrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.108 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) (sqrt a1))) 20.108 * * [simplify]: iters left: 6 (7 enodes) 20.110 * * [simplify]: iters left: 5 (23 enodes) 20.113 * * [simplify]: iters left: 4 (28 enodes) 20.117 * * [simplify]: iters left: 3 (32 enodes) 20.122 * * [simplify]: Extracting #0: cost 1 inf + 0 20.122 * * [simplify]: Extracting #1: cost 8 inf + 0 20.122 * * [simplify]: Extracting #2: cost 13 inf + 1 20.122 * * [simplify]: Extracting #3: cost 11 inf + 245 20.122 * * [simplify]: Extracting #4: cost 10 inf + 246 20.122 * * [simplify]: Extracting #5: cost 4 inf + 774 20.123 * * [simplify]: Extracting #6: cost 1 inf + 1260 20.123 * * [simplify]: Extracting #7: cost 0 inf + 1462 20.123 * [simplify]: Simplified to (* (/ a1 (sqrt (sqrt 2))) (sqrt a1)) 20.123 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (sqrt (sqrt 2)) (sqrt a1))) (* (/ a1 (sqrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.123 * * * * [progress]: [ 158 / 203 ] simplifiying candidate # 20.123 * [simplify]: Simplifying (/ (cos th) (/ (sqrt (sqrt 2)) 1)) 20.124 * * [simplify]: iters left: 6 (8 enodes) 20.126 * * [simplify]: iters left: 5 (26 enodes) 20.135 * * [simplify]: iters left: 4 (30 enodes) 20.145 * * [simplify]: iters left: 3 (33 enodes) 20.154 * * [simplify]: iters left: 2 (34 enodes) 20.164 * * [simplify]: iters left: 1 (36 enodes) 20.174 * * [simplify]: Extracting #0: cost 1 inf + 0 20.174 * * [simplify]: Extracting #1: cost 6 inf + 0 20.174 * * [simplify]: Extracting #2: cost 10 inf + 1 20.174 * * [simplify]: Extracting #3: cost 11 inf + 2 20.174 * * [simplify]: Extracting #4: cost 8 inf + 105 20.175 * * [simplify]: Extracting #5: cost 3 inf + 551 20.175 * * [simplify]: Extracting #6: cost 0 inf + 1097 20.175 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 20.176 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ a1 (/ (sqrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.176 * [simplify]: Simplifying (/ a1 (/ (sqrt (sqrt 2)) a1)) 20.176 * * [simplify]: iters left: 6 (6 enodes) 20.179 * * [simplify]: iters left: 5 (20 enodes) 20.186 * * [simplify]: iters left: 4 (25 enodes) 20.196 * * [simplify]: iters left: 3 (27 enodes) 20.204 * * [simplify]: Extracting #0: cost 1 inf + 0 20.204 * * [simplify]: Extracting #1: cost 7 inf + 0 20.204 * * [simplify]: Extracting #2: cost 10 inf + 42 20.204 * * [simplify]: Extracting #3: cost 11 inf + 83 20.204 * * [simplify]: Extracting #4: cost 10 inf + 84 20.204 * * [simplify]: Extracting #5: cost 6 inf + 409 20.205 * * [simplify]: Extracting #6: cost 0 inf + 1140 20.205 * [simplify]: Simplified to (/ (* a1 a1) (sqrt (sqrt 2))) 20.205 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (sqrt 2))) (/ (* a1 a1) (sqrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.206 * * * * [progress]: [ 159 / 203 ] simplifiying candidate # 20.206 * [simplify]: Simplifying (/ (cos th) (/ 1 (* (cbrt a1) (cbrt a1)))) 20.206 * * [simplify]: iters left: 6 (8 enodes) 20.210 * * [simplify]: iters left: 5 (30 enodes) 20.219 * * [simplify]: iters left: 4 (39 enodes) 20.232 * * [simplify]: iters left: 3 (54 enodes) 20.247 * * [simplify]: iters left: 2 (63 enodes) 20.265 * * [simplify]: iters left: 1 (86 enodes) 20.296 * * [simplify]: Extracting #0: cost 1 inf + 0 20.296 * * [simplify]: Extracting #1: cost 11 inf + 0 20.296 * * [simplify]: Extracting #2: cost 20 inf + 1 20.296 * * [simplify]: Extracting #3: cost 18 inf + 3 20.297 * * [simplify]: Extracting #4: cost 6 inf + 1662 20.298 * * [simplify]: Extracting #5: cost 1 inf + 2332 20.299 * * [simplify]: Extracting #6: cost 0 inf + 2555 20.300 * [simplify]: Simplified to (* (cos th) (* (cbrt a1) (cbrt a1))) 20.300 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (cbrt a1) (cbrt a1))) (/ a1 (/ (sqrt 2) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.300 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) (cbrt a1))) 20.300 * * [simplify]: iters left: 5 (6 enodes) 20.304 * * [simplify]: iters left: 4 (20 enodes) 20.310 * * [simplify]: iters left: 3 (25 enodes) 20.318 * * [simplify]: iters left: 2 (29 enodes) 20.326 * * [simplify]: Extracting #0: cost 1 inf + 0 20.326 * * [simplify]: Extracting #1: cost 8 inf + 0 20.326 * * [simplify]: Extracting #2: cost 13 inf + 1 20.326 * * [simplify]: Extracting #3: cost 10 inf + 204 20.327 * * [simplify]: Extracting #4: cost 1 inf + 1178 20.327 * * [simplify]: Extracting #5: cost 0 inf + 1380 20.328 * [simplify]: Simplified to (/ (* (cbrt a1) a1) (sqrt 2)) 20.328 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (cbrt a1) (cbrt a1))) (/ (* (cbrt a1) a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.328 * * * * [progress]: [ 160 / 203 ] simplifiying candidate # 20.328 * [simplify]: Simplifying (/ (cos th) (/ 1 (sqrt a1))) 20.328 * * [simplify]: iters left: 5 (7 enodes) 20.332 * * [simplify]: iters left: 4 (25 enodes) 20.341 * * [simplify]: iters left: 3 (28 enodes) 20.350 * * [simplify]: iters left: 2 (35 enodes) 20.359 * * [simplify]: iters left: 1 (36 enodes) 20.366 * * [simplify]: Extracting #0: cost 1 inf + 0 20.366 * * [simplify]: Extracting #1: cost 7 inf + 0 20.366 * * [simplify]: Extracting #2: cost 11 inf + 1 20.366 * * [simplify]: Extracting #3: cost 9 inf + 3 20.366 * * [simplify]: Extracting #4: cost 5 inf + 268 20.366 * * [simplify]: Extracting #5: cost 1 inf + 675 20.366 * * [simplify]: Extracting #6: cost 0 inf + 757 20.366 * [simplify]: Simplified to (* (cos th) (sqrt a1)) 20.366 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ a1 (/ (sqrt 2) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.367 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) (sqrt a1))) 20.367 * * [simplify]: iters left: 5 (6 enodes) 20.369 * * [simplify]: iters left: 4 (20 enodes) 20.372 * * [simplify]: iters left: 3 (25 enodes) 20.376 * * [simplify]: iters left: 2 (29 enodes) 20.380 * * [simplify]: Extracting #0: cost 1 inf + 0 20.380 * * [simplify]: Extracting #1: cost 8 inf + 0 20.380 * * [simplify]: Extracting #2: cost 13 inf + 1 20.380 * * [simplify]: Extracting #3: cost 10 inf + 124 20.380 * * [simplify]: Extracting #4: cost 1 inf + 898 20.380 * * [simplify]: Extracting #5: cost 0 inf + 1060 20.381 * [simplify]: Simplified to (/ (* (sqrt a1) a1) (sqrt 2)) 20.381 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (* (sqrt a1) a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.381 * * * * [progress]: [ 161 / 203 ] simplifiying candidate # 20.381 * [simplify]: Simplifying (/ (cos th) (/ 1 1)) 20.381 * * [simplify]: iters left: 4 (5 enodes) 20.382 * * [simplify]: iters left: 3 (15 enodes) 20.385 * * [simplify]: iters left: 2 (17 enodes) 20.387 * * [simplify]: iters left: 1 (19 enodes) 20.390 * * [simplify]: Extracting #0: cost 1 inf + 0 20.390 * * [simplify]: Extracting #1: cost 4 inf + 0 20.390 * * [simplify]: Extracting #2: cost 2 inf + 2 20.390 * * [simplify]: Extracting #3: cost 1 inf + 63 20.390 * * [simplify]: Extracting #4: cost 0 inf + 124 20.390 * [simplify]: Simplified to (cos th) 20.390 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.391 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) a1)) 20.391 * * [simplify]: iters left: 5 (5 enodes) 20.394 * * [simplify]: iters left: 4 (17 enodes) 20.400 * * [simplify]: iters left: 3 (22 enodes) 20.407 * * [simplify]: iters left: 2 (24 enodes) 20.414 * * [simplify]: Extracting #0: cost 1 inf + 0 20.414 * * [simplify]: Extracting #1: cost 7 inf + 0 20.414 * * [simplify]: Extracting #2: cost 11 inf + 1 20.414 * * [simplify]: Extracting #3: cost 8 inf + 84 20.414 * * [simplify]: Extracting #4: cost 0 inf + 738 20.414 * [simplify]: Simplified to (/ a1 (/ (sqrt 2) a1)) 20.415 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.415 * * * * [progress]: [ 162 / 203 ] simplifiying candidate # 20.415 * [simplify]: Simplifying (/ (cos th) 1) 20.415 * * [simplify]: iters left: 3 (4 enodes) 20.417 * * [simplify]: iters left: 2 (12 enodes) 20.421 * * [simplify]: iters left: 1 (14 enodes) 20.425 * * [simplify]: Extracting #0: cost 1 inf + 0 20.425 * * [simplify]: Extracting #1: cost 4 inf + 0 20.426 * * [simplify]: Extracting #2: cost 2 inf + 2 20.426 * * [simplify]: Extracting #3: cost 1 inf + 63 20.426 * * [simplify]: Extracting #4: cost 0 inf + 124 20.426 * [simplify]: Simplified to (cos th) 20.426 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.426 * [simplify]: Simplifying (/ a1 (/ (sqrt 2) a1)) 20.426 * * [simplify]: iters left: 5 (5 enodes) 20.429 * * [simplify]: iters left: 4 (17 enodes) 20.435 * * [simplify]: iters left: 3 (22 enodes) 20.443 * * [simplify]: iters left: 2 (24 enodes) 20.450 * * [simplify]: Extracting #0: cost 1 inf + 0 20.450 * * [simplify]: Extracting #1: cost 7 inf + 0 20.450 * * [simplify]: Extracting #2: cost 11 inf + 1 20.451 * * [simplify]: Extracting #3: cost 8 inf + 84 20.451 * * [simplify]: Extracting #4: cost 0 inf + 738 20.451 * [simplify]: Simplified to (/ a1 (/ (sqrt 2) a1)) 20.451 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ a1 (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.451 * * * * [progress]: [ 163 / 203 ] simplifiying candidate # 20.452 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 20.452 * * [simplify]: iters left: 3 (5 enodes) 20.455 * * [simplify]: iters left: 2 (15 enodes) 20.460 * * [simplify]: Extracting #0: cost 1 inf + 0 20.460 * * [simplify]: Extracting #1: cost 4 inf + 0 20.460 * * [simplify]: Extracting #2: cost 8 inf + 0 20.460 * * [simplify]: Extracting #3: cost 4 inf + 84 20.460 * * [simplify]: Extracting #4: cost 0 inf + 490 20.460 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 20.460 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (/ a1 (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.461 * [simplify]: Simplifying (/ a1 (/ 1 a1)) 20.461 * * [simplify]: iters left: 4 (4 enodes) 20.463 * * [simplify]: iters left: 3 (16 enodes) 20.469 * * [simplify]: iters left: 2 (18 enodes) 20.476 * * [simplify]: Extracting #0: cost 1 inf + 0 20.476 * * [simplify]: Extracting #1: cost 4 inf + 0 20.476 * * [simplify]: Extracting #2: cost 5 inf + 1 20.476 * * [simplify]: Extracting #3: cost 0 inf + 168 20.476 * [simplify]: Simplified to (* a1 a1) 20.476 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.476 * * * * [progress]: [ 164 / 203 ] simplifiying candidate # 20.477 * * * * [progress]: [ 165 / 203 ] simplifiying candidate # 20.477 * * * * [progress]: [ 166 / 203 ] simplifiying candidate # 20.477 * * * * [progress]: [ 167 / 203 ] simplifiying candidate # 20.477 * [simplify]: Simplifying (cbrt (/ (sqrt 2) a1)) 20.477 * * [simplify]: iters left: 4 (5 enodes) 20.480 * * [simplify]: iters left: 3 (15 enodes) 20.485 * * [simplify]: Extracting #0: cost 1 inf + 0 20.485 * * [simplify]: Extracting #1: cost 3 inf + 0 20.485 * * [simplify]: Extracting #2: cost 6 inf + 0 20.485 * * [simplify]: Extracting #3: cost 7 inf + 1 20.485 * * [simplify]: Extracting #4: cost 6 inf + 2 20.485 * * [simplify]: Extracting #5: cost 0 inf + 572 20.485 * [simplify]: Simplified to (cbrt (/ (sqrt 2) a1)) 20.485 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (* (cbrt (/ (sqrt 2) a1)) (cbrt (/ (sqrt 2) a1)))) (cbrt (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.486 * * * * [progress]: [ 168 / 203 ] simplifiying candidate # 20.486 * [simplify]: Simplifying (sqrt (/ (sqrt 2) a1)) 20.486 * * [simplify]: iters left: 4 (5 enodes) 20.489 * * [simplify]: iters left: 3 (15 enodes) 20.494 * * [simplify]: Extracting #0: cost 1 inf + 0 20.494 * * [simplify]: Extracting #1: cost 3 inf + 0 20.494 * * [simplify]: Extracting #2: cost 6 inf + 0 20.494 * * [simplify]: Extracting #3: cost 7 inf + 1 20.494 * * [simplify]: Extracting #4: cost 6 inf + 2 20.494 * * [simplify]: Extracting #5: cost 0 inf + 492 20.494 * [simplify]: Simplified to (sqrt (/ (sqrt 2) a1)) 20.494 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (sqrt (/ (sqrt 2) a1))) (sqrt (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.495 * * * * [progress]: [ 169 / 203 ] simplifiying candidate # 20.495 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 20.495 * * [simplify]: iters left: 4 (6 enodes) 20.498 * * [simplify]: iters left: 3 (18 enodes) 20.501 * * [simplify]: Extracting #0: cost 1 inf + 0 20.501 * * [simplify]: Extracting #1: cost 4 inf + 0 20.501 * * [simplify]: Extracting #2: cost 8 inf + 0 20.501 * * [simplify]: Extracting #3: cost 7 inf + 163 20.501 * * [simplify]: Extracting #4: cost 6 inf + 164 20.501 * * [simplify]: Extracting #5: cost 0 inf + 972 20.501 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 20.501 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.501 * * * * [progress]: [ 170 / 203 ] simplifiying candidate # 20.501 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 20.501 * * [simplify]: iters left: 4 (6 enodes) 20.503 * * [simplify]: iters left: 3 (18 enodes) 20.506 * * [simplify]: Extracting #0: cost 1 inf + 0 20.506 * * [simplify]: Extracting #1: cost 4 inf + 0 20.506 * * [simplify]: Extracting #2: cost 8 inf + 0 20.506 * * [simplify]: Extracting #3: cost 7 inf + 83 20.506 * * [simplify]: Extracting #4: cost 6 inf + 84 20.506 * * [simplify]: Extracting #5: cost 0 inf + 812 20.506 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 20.506 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) (/ (cbrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.506 * * * * [progress]: [ 171 / 203 ] simplifiying candidate # 20.506 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 20.507 * * [simplify]: iters left: 4 (5 enodes) 20.508 * * [simplify]: iters left: 3 (15 enodes) 20.511 * * [simplify]: Extracting #0: cost 1 inf + 0 20.511 * * [simplify]: Extracting #1: cost 4 inf + 0 20.511 * * [simplify]: Extracting #2: cost 5 inf + 1 20.511 * * [simplify]: Extracting #3: cost 7 inf + 1 20.511 * * [simplify]: Extracting #4: cost 6 inf + 2 20.511 * * [simplify]: Extracting #5: cost 0 inf + 650 20.511 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 20.511 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.511 * * * * [progress]: [ 172 / 203 ] simplifiying candidate # 20.511 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (cbrt a1)) 20.512 * * [simplify]: iters left: 4 (6 enodes) 20.513 * * [simplify]: iters left: 3 (18 enodes) 20.516 * * [simplify]: Extracting #0: cost 1 inf + 0 20.516 * * [simplify]: Extracting #1: cost 4 inf + 0 20.516 * * [simplify]: Extracting #2: cost 8 inf + 0 20.516 * * [simplify]: Extracting #3: cost 7 inf + 163 20.516 * * [simplify]: Extracting #4: cost 6 inf + 164 20.516 * * [simplify]: Extracting #5: cost 0 inf + 1052 20.517 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (cbrt a1)) 20.517 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (* (cbrt 2) (cbrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (cbrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.517 * * * * [progress]: [ 173 / 203 ] simplifiying candidate # 20.517 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) (sqrt a1)) 20.517 * * [simplify]: iters left: 4 (6 enodes) 20.519 * * [simplify]: iters left: 3 (18 enodes) 20.522 * * [simplify]: Extracting #0: cost 1 inf + 0 20.522 * * [simplify]: Extracting #1: cost 4 inf + 0 20.522 * * [simplify]: Extracting #2: cost 8 inf + 0 20.522 * * [simplify]: Extracting #3: cost 7 inf + 83 20.522 * * [simplify]: Extracting #4: cost 6 inf + 84 20.522 * * [simplify]: Extracting #5: cost 0 inf + 892 20.522 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) (sqrt a1)) 20.522 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (* (cbrt 2) (cbrt 2))) (sqrt a1))) (/ (sqrt (cbrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.522 * * * * [progress]: [ 174 / 203 ] simplifiying candidate # 20.522 * [simplify]: Simplifying (/ (sqrt (cbrt 2)) a1) 20.522 * * [simplify]: iters left: 4 (5 enodes) 20.524 * * [simplify]: iters left: 3 (15 enodes) 20.526 * * [simplify]: Extracting #0: cost 1 inf + 0 20.526 * * [simplify]: Extracting #1: cost 4 inf + 0 20.526 * * [simplify]: Extracting #2: cost 5 inf + 1 20.526 * * [simplify]: Extracting #3: cost 7 inf + 1 20.526 * * [simplify]: Extracting #4: cost 6 inf + 2 20.526 * * [simplify]: Extracting #5: cost 0 inf + 730 20.527 * [simplify]: Simplified to (/ (sqrt (cbrt 2)) a1) 20.527 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (* (cbrt 2) (cbrt 2))) 1)) (/ (sqrt (cbrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.527 * * * * [progress]: [ 175 / 203 ] simplifiying candidate # 20.527 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt a1)) 20.527 * * [simplify]: iters left: 4 (6 enodes) 20.529 * * [simplify]: iters left: 3 (18 enodes) 20.531 * * [simplify]: Extracting #0: cost 1 inf + 0 20.531 * * [simplify]: Extracting #1: cost 4 inf + 0 20.531 * * [simplify]: Extracting #2: cost 8 inf + 0 20.532 * * [simplify]: Extracting #3: cost 7 inf + 163 20.532 * * [simplify]: Extracting #4: cost 6 inf + 164 20.532 * * [simplify]: Extracting #5: cost 0 inf + 812 20.532 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt a1)) 20.532 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.532 * * * * [progress]: [ 176 / 203 ] simplifiying candidate # 20.532 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 20.532 * * [simplify]: iters left: 4 (6 enodes) 20.534 * * [simplify]: iters left: 3 (18 enodes) 20.537 * * [simplify]: Extracting #0: cost 1 inf + 0 20.537 * * [simplify]: Extracting #1: cost 4 inf + 0 20.537 * * [simplify]: Extracting #2: cost 8 inf + 0 20.537 * * [simplify]: Extracting #3: cost 7 inf + 83 20.537 * * [simplify]: Extracting #4: cost 6 inf + 84 20.537 * * [simplify]: Extracting #5: cost 0 inf + 652 20.537 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 20.537 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (sqrt a1))) (/ (sqrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.537 * * * * [progress]: [ 177 / 203 ] simplifiying candidate # 20.538 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) a1) 20.538 * * [simplify]: iters left: 4 (5 enodes) 20.539 * * [simplify]: iters left: 3 (15 enodes) 20.541 * * [simplify]: Extracting #0: cost 1 inf + 0 20.541 * * [simplify]: Extracting #1: cost 4 inf + 0 20.542 * * [simplify]: Extracting #2: cost 5 inf + 1 20.542 * * [simplify]: Extracting #3: cost 7 inf + 1 20.542 * * [simplify]: Extracting #4: cost 6 inf + 2 20.542 * * [simplify]: Extracting #5: cost 0 inf + 490 20.542 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) a1) 20.542 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) 1)) (/ (sqrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.542 * * * * [progress]: [ 178 / 203 ] simplifiying candidate # 20.542 * [simplify]: Simplifying (/ (sqrt 2) (cbrt a1)) 20.542 * * [simplify]: iters left: 3 (5 enodes) 20.544 * * [simplify]: iters left: 2 (15 enodes) 20.546 * * [simplify]: Extracting #0: cost 1 inf + 0 20.546 * * [simplify]: Extracting #1: cost 4 inf + 0 20.546 * * [simplify]: Extracting #2: cost 8 inf + 0 20.546 * * [simplify]: Extracting #3: cost 4 inf + 164 20.547 * * [simplify]: Extracting #4: cost 0 inf + 570 20.547 * [simplify]: Simplified to (/ (sqrt 2) (cbrt a1)) 20.547 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt 1) (* (cbrt a1) (cbrt a1)))) (/ (sqrt 2) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.547 * * * * [progress]: [ 179 / 203 ] simplifiying candidate # 20.547 * [simplify]: Simplifying (/ (sqrt 2) (sqrt a1)) 20.547 * * [simplify]: iters left: 3 (5 enodes) 20.550 * * [simplify]: iters left: 2 (15 enodes) 20.555 * * [simplify]: Extracting #0: cost 1 inf + 0 20.555 * * [simplify]: Extracting #1: cost 4 inf + 0 20.555 * * [simplify]: Extracting #2: cost 8 inf + 0 20.555 * * [simplify]: Extracting #3: cost 4 inf + 84 20.555 * * [simplify]: Extracting #4: cost 0 inf + 410 20.555 * [simplify]: Simplified to (/ (sqrt 2) (sqrt a1)) 20.555 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt 1) (sqrt a1))) (/ (sqrt 2) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.556 * * * * [progress]: [ 180 / 203 ] simplifiying candidate # 20.556 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.556 * * [simplify]: iters left: 3 (4 enodes) 20.558 * * [simplify]: iters left: 2 (12 enodes) 20.562 * * [simplify]: Extracting #0: cost 1 inf + 0 20.563 * * [simplify]: Extracting #1: cost 4 inf + 0 20.563 * * [simplify]: Extracting #2: cost 5 inf + 1 20.563 * * [simplify]: Extracting #3: cost 4 inf + 2 20.563 * * [simplify]: Extracting #4: cost 0 inf + 248 20.563 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.563 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt 1) 1)) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.563 * * * * [progress]: [ 181 / 203 ] simplifiying candidate # 20.564 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (cbrt a1)) 20.564 * * [simplify]: iters left: 4 (6 enodes) 20.567 * * [simplify]: iters left: 3 (18 enodes) 20.573 * * [simplify]: Extracting #0: cost 1 inf + 0 20.573 * * [simplify]: Extracting #1: cost 4 inf + 0 20.573 * * [simplify]: Extracting #2: cost 8 inf + 0 20.573 * * [simplify]: Extracting #3: cost 7 inf + 163 20.573 * * [simplify]: Extracting #4: cost 6 inf + 164 20.573 * * [simplify]: Extracting #5: cost 0 inf + 812 20.574 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (cbrt a1)) 20.574 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.574 * * * * [progress]: [ 182 / 203 ] simplifiying candidate # 20.574 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) (sqrt a1)) 20.574 * * [simplify]: iters left: 4 (6 enodes) 20.577 * * [simplify]: iters left: 3 (18 enodes) 20.583 * * [simplify]: Extracting #0: cost 1 inf + 0 20.583 * * [simplify]: Extracting #1: cost 4 inf + 0 20.583 * * [simplify]: Extracting #2: cost 8 inf + 0 20.583 * * [simplify]: Extracting #3: cost 7 inf + 83 20.583 * * [simplify]: Extracting #4: cost 6 inf + 84 20.583 * * [simplify]: Extracting #5: cost 0 inf + 652 20.584 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) (sqrt a1)) 20.584 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) (sqrt a1))) (/ (sqrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.584 * * * * [progress]: [ 183 / 203 ] simplifiying candidate # 20.584 * [simplify]: Simplifying (/ (sqrt (sqrt 2)) a1) 20.584 * * [simplify]: iters left: 4 (5 enodes) 20.589 * * [simplify]: iters left: 3 (15 enodes) 20.592 * * [simplify]: Extracting #0: cost 1 inf + 0 20.592 * * [simplify]: Extracting #1: cost 4 inf + 0 20.592 * * [simplify]: Extracting #2: cost 5 inf + 1 20.592 * * [simplify]: Extracting #3: cost 7 inf + 1 20.592 * * [simplify]: Extracting #4: cost 6 inf + 2 20.592 * * [simplify]: Extracting #5: cost 0 inf + 490 20.592 * [simplify]: Simplified to (/ (sqrt (sqrt 2)) a1) 20.592 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (sqrt (sqrt 2)) 1)) (/ (sqrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.592 * * * * [progress]: [ 184 / 203 ] simplifiying candidate # 20.593 * [simplify]: Simplifying (/ (sqrt 2) (cbrt a1)) 20.593 * * [simplify]: iters left: 3 (5 enodes) 20.594 * * [simplify]: iters left: 2 (15 enodes) 20.597 * * [simplify]: Extracting #0: cost 1 inf + 0 20.597 * * [simplify]: Extracting #1: cost 4 inf + 0 20.597 * * [simplify]: Extracting #2: cost 8 inf + 0 20.597 * * [simplify]: Extracting #3: cost 4 inf + 164 20.597 * * [simplify]: Extracting #4: cost 0 inf + 570 20.597 * [simplify]: Simplified to (/ (sqrt 2) (cbrt a1)) 20.597 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (sqrt 2) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.597 * * * * [progress]: [ 185 / 203 ] simplifiying candidate # 20.597 * [simplify]: Simplifying (/ (sqrt 2) (sqrt a1)) 20.597 * * [simplify]: iters left: 3 (5 enodes) 20.599 * * [simplify]: iters left: 2 (15 enodes) 20.601 * * [simplify]: Extracting #0: cost 1 inf + 0 20.601 * * [simplify]: Extracting #1: cost 4 inf + 0 20.601 * * [simplify]: Extracting #2: cost 8 inf + 0 20.601 * * [simplify]: Extracting #3: cost 4 inf + 84 20.601 * * [simplify]: Extracting #4: cost 0 inf + 410 20.601 * [simplify]: Simplified to (/ (sqrt 2) (sqrt a1)) 20.601 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ 1 (sqrt a1))) (/ (sqrt 2) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.602 * * * * [progress]: [ 186 / 203 ] simplifiying candidate # 20.602 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.602 * * [simplify]: iters left: 3 (4 enodes) 20.603 * * [simplify]: iters left: 2 (12 enodes) 20.605 * * [simplify]: Extracting #0: cost 1 inf + 0 20.605 * * [simplify]: Extracting #1: cost 4 inf + 0 20.605 * * [simplify]: Extracting #2: cost 5 inf + 1 20.605 * * [simplify]: Extracting #3: cost 4 inf + 2 20.605 * * [simplify]: Extracting #4: cost 0 inf + 248 20.605 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.605 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ 1 1)) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.605 * * * * [progress]: [ 187 / 203 ] simplifiying candidate # 20.605 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.606 * * [simplify]: iters left: 3 (4 enodes) 20.607 * * [simplify]: iters left: 2 (12 enodes) 20.609 * * [simplify]: Extracting #0: cost 1 inf + 0 20.609 * * [simplify]: Extracting #1: cost 4 inf + 0 20.609 * * [simplify]: Extracting #2: cost 5 inf + 1 20.609 * * [simplify]: Extracting #3: cost 4 inf + 2 20.609 * * [simplify]: Extracting #4: cost 0 inf + 248 20.609 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.609 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) 1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.609 * * * * [progress]: [ 188 / 203 ] simplifiying candidate # 20.609 * [simplify]: Simplifying (/ 1 a1) 20.609 * * [simplify]: iters left: 2 (3 enodes) 20.610 * * [simplify]: iters left: 1 (11 enodes) 20.612 * * [simplify]: Extracting #0: cost 1 inf + 0 20.612 * * [simplify]: Extracting #1: cost 4 inf + 0 20.612 * * [simplify]: Extracting #2: cost 2 inf + 2 20.612 * * [simplify]: Extracting #3: cost 0 inf + 86 20.612 * [simplify]: Simplified to (/ 1 a1) 20.612 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (sqrt 2)) (/ 1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.612 * * * * [progress]: [ 189 / 203 ] simplifiying candidate # 20.612 * [simplify]: Simplifying (cos th) 20.612 * * [simplify]: iters left: 1 (2 enodes) 20.613 * * [simplify]: Extracting #0: cost 1 inf + 0 20.613 * * [simplify]: Extracting #1: cost 3 inf + 0 20.613 * * [simplify]: Extracting #2: cost 2 inf + 1 20.613 * * [simplify]: Extracting #3: cost 0 inf + 123 20.613 * [simplify]: Simplified to (cos th) 20.613 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (sqrt 2) a1) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.613 * * * * [progress]: [ 190 / 203 ] simplifiying candidate # 20.613 * * * * [progress]: [ 191 / 203 ] simplifiying candidate #real (real->posit16 (/ (* (cos th) a1) (/ (sqrt 2) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 20.613 * * * * [progress]: [ 192 / 203 ] simplifiying candidate # 20.613 * [simplify]: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 20.614 * * [simplify]: iters left: 6 (16 enodes) 20.619 * * [simplify]: iters left: 5 (68 enodes) 20.639 * * [simplify]: iters left: 4 (109 enodes) 20.657 * * [simplify]: iters left: 3 (160 enodes) 20.691 * * [simplify]: iters left: 2 (241 enodes) 20.748 * * [simplify]: iters left: 1 (382 enodes) 20.852 * * [simplify]: Extracting #0: cost 1 inf + 0 20.852 * * [simplify]: Extracting #1: cost 16 inf + 0 20.852 * * [simplify]: Extracting #2: cost 88 inf + 0 20.852 * * [simplify]: Extracting #3: cost 130 inf + 90 20.854 * * [simplify]: Extracting #4: cost 80 inf + 4828 20.857 * * [simplify]: Extracting #5: cost 11 inf + 15932 20.869 * * [simplify]: Extracting #6: cost 0 inf + 18367 20.877 * * [simplify]: Extracting #7: cost 0 inf + 18287 20.886 * [simplify]: Simplified to (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) 20.886 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) (* a2 a2)))) 20.886 * * * * [progress]: [ 193 / 203 ] simplifiying candidate # 20.886 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 20.886 * * [simplify]: iters left: 3 (5 enodes) 20.888 * * [simplify]: iters left: 2 (15 enodes) 20.891 * * [simplify]: Extracting #0: cost 1 inf + 0 20.891 * * [simplify]: Extracting #1: cost 4 inf + 0 20.891 * * [simplify]: Extracting #2: cost 8 inf + 0 20.891 * * [simplify]: Extracting #3: cost 4 inf + 84 20.891 * * [simplify]: Extracting #4: cost 0 inf + 490 20.891 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 20.891 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.891 * * * * [progress]: [ 194 / 203 ] simplifiying candidate # 20.891 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 20.891 * * [simplify]: iters left: 3 (5 enodes) 20.893 * * [simplify]: iters left: 2 (15 enodes) 20.895 * * [simplify]: Extracting #0: cost 1 inf + 0 20.895 * * [simplify]: Extracting #1: cost 4 inf + 0 20.895 * * [simplify]: Extracting #2: cost 8 inf + 0 20.895 * * [simplify]: Extracting #3: cost 4 inf + 84 20.895 * * [simplify]: Extracting #4: cost 0 inf + 490 20.895 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 20.896 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.896 * * * * [progress]: [ 195 / 203 ] simplifiying candidate # 20.896 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.896 * * [simplify]: iters left: 3 (4 enodes) 20.897 * * [simplify]: iters left: 2 (12 enodes) 20.899 * * [simplify]: Extracting #0: cost 1 inf + 0 20.899 * * [simplify]: Extracting #1: cost 4 inf + 0 20.899 * * [simplify]: Extracting #2: cost 5 inf + 1 20.899 * * [simplify]: Extracting #3: cost 4 inf + 2 20.899 * * [simplify]: Extracting #4: cost 0 inf + 248 20.899 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.899 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.899 * * * * [progress]: [ 196 / 203 ] simplifiying candidate # 20.900 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.900 * * [simplify]: iters left: 3 (4 enodes) 20.901 * * [simplify]: iters left: 2 (12 enodes) 20.903 * * [simplify]: Extracting #0: cost 1 inf + 0 20.903 * * [simplify]: Extracting #1: cost 4 inf + 0 20.903 * * [simplify]: Extracting #2: cost 5 inf + 1 20.903 * * [simplify]: Extracting #3: cost 4 inf + 2 20.903 * * [simplify]: Extracting #4: cost 0 inf + 248 20.903 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.903 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.903 * * * * [progress]: [ 197 / 203 ] simplifiying candidate # 20.903 * [simplify]: Simplifying (/ (sqrt 2) a1) 20.903 * * [simplify]: iters left: 3 (4 enodes) 20.905 * * [simplify]: iters left: 2 (12 enodes) 20.907 * * [simplify]: Extracting #0: cost 1 inf + 0 20.907 * * [simplify]: Extracting #1: cost 4 inf + 0 20.907 * * [simplify]: Extracting #2: cost 5 inf + 1 20.907 * * [simplify]: Extracting #3: cost 4 inf + 2 20.907 * * [simplify]: Extracting #4: cost 0 inf + 248 20.907 * [simplify]: Simplified to (/ (sqrt 2) a1) 20.907 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 20.907 * * * * [progress]: [ 198 / 203 ] simplifiying candidate # 20.907 * [simplify]: Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 20.907 * * [simplify]: iters left: 6 (12 enodes) 20.911 * * [simplify]: iters left: 5 (52 enodes) 20.923 * * [simplify]: iters left: 4 (104 enodes) 20.964 * * [simplify]: iters left: 3 (254 enodes) 21.073 * * [simplify]: Extracting #0: cost 1 inf + 0 21.073 * * [simplify]: Extracting #1: cost 5 inf + 0 21.074 * * [simplify]: Extracting #2: cost 89 inf + 0 21.075 * * [simplify]: Extracting #3: cost 176 inf + 45 21.078 * * [simplify]: Extracting #4: cost 103 inf + 7976 21.088 * * [simplify]: Extracting #5: cost 11 inf + 21237 21.099 * * [simplify]: Extracting #6: cost 0 inf + 23114 21.114 * [simplify]: Simplified to (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))) 21.114 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))))) 21.115 * * * * [progress]: [ 199 / 203 ] simplifiying candidate # 21.115 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 21.115 * * [simplify]: iters left: 5 (8 enodes) 21.120 * * [simplify]: iters left: 4 (32 enodes) 21.131 * * [simplify]: iters left: 3 (48 enodes) 21.140 * * [simplify]: iters left: 2 (69 enodes) 21.150 * * [simplify]: iters left: 1 (85 enodes) 21.162 * * [simplify]: Extracting #0: cost 1 inf + 0 21.162 * * [simplify]: Extracting #1: cost 17 inf + 0 21.162 * * [simplify]: Extracting #2: cost 30 inf + 42 21.162 * * [simplify]: Extracting #3: cost 25 inf + 288 21.163 * * [simplify]: Extracting #4: cost 7 inf + 2485 21.163 * * [simplify]: Extracting #5: cost 0 inf + 3461 21.164 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 21.164 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 21.164 * * * * [progress]: [ 200 / 203 ] simplifiying candidate # 21.164 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 21.164 * * [simplify]: iters left: 5 (8 enodes) 21.167 * * [simplify]: iters left: 4 (32 enodes) 21.172 * * [simplify]: iters left: 3 (48 enodes) 21.180 * * [simplify]: iters left: 2 (69 enodes) 21.197 * * [simplify]: iters left: 1 (85 enodes) 21.210 * * [simplify]: Extracting #0: cost 1 inf + 0 21.210 * * [simplify]: Extracting #1: cost 17 inf + 0 21.211 * * [simplify]: Extracting #2: cost 30 inf + 42 21.211 * * [simplify]: Extracting #3: cost 25 inf + 288 21.211 * * [simplify]: Extracting #4: cost 7 inf + 2485 21.212 * * [simplify]: Extracting #5: cost 0 inf + 3461 21.213 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 21.213 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 21.213 * * * * [progress]: [ 201 / 203 ] simplifiying candidate # 21.213 * [simplify]: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 21.213 * * [simplify]: iters left: 6 (12 enodes) 21.217 * * [simplify]: iters left: 5 (52 enodes) 21.228 * * [simplify]: iters left: 4 (104 enodes) 21.268 * * [simplify]: iters left: 3 (254 enodes) 21.379 * * [simplify]: Extracting #0: cost 1 inf + 0 21.379 * * [simplify]: Extracting #1: cost 5 inf + 0 21.379 * * [simplify]: Extracting #2: cost 89 inf + 0 21.380 * * [simplify]: Extracting #3: cost 176 inf + 45 21.384 * * [simplify]: Extracting #4: cost 103 inf + 7976 21.394 * * [simplify]: Extracting #5: cost 11 inf + 21237 21.405 * * [simplify]: Extracting #6: cost 0 inf + 23114 21.416 * [simplify]: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) 21.417 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 21.417 * * * * [progress]: [ 202 / 203 ] simplifiying candidate # 21.417 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 21.417 * * [simplify]: iters left: 5 (8 enodes) 21.423 * * [simplify]: iters left: 4 (32 enodes) 21.433 * * [simplify]: iters left: 3 (48 enodes) 21.448 * * [simplify]: iters left: 2 (68 enodes) 21.471 * * [simplify]: iters left: 1 (80 enodes) 21.492 * * [simplify]: Extracting #0: cost 1 inf + 0 21.492 * * [simplify]: Extracting #1: cost 18 inf + 0 21.492 * * [simplify]: Extracting #2: cost 33 inf + 1 21.493 * * [simplify]: Extracting #3: cost 27 inf + 288 21.494 * * [simplify]: Extracting #4: cost 5 inf + 3074 21.495 * * [simplify]: Extracting #5: cost 1 inf + 3705 21.496 * * [simplify]: Extracting #6: cost 0 inf + 3888 21.498 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 21.498 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 21.498 * * * * [progress]: [ 203 / 203 ] simplifiying candidate # 21.498 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 21.498 * * [simplify]: iters left: 5 (8 enodes) 21.503 * * [simplify]: iters left: 4 (32 enodes) 21.513 * * [simplify]: iters left: 3 (48 enodes) 21.528 * * [simplify]: iters left: 2 (68 enodes) 21.547 * * [simplify]: iters left: 1 (80 enodes) 21.569 * * [simplify]: Extracting #0: cost 1 inf + 0 21.569 * * [simplify]: Extracting #1: cost 18 inf + 0 21.569 * * [simplify]: Extracting #2: cost 33 inf + 1 21.569 * * [simplify]: Extracting #3: cost 27 inf + 288 21.570 * * [simplify]: Extracting #4: cost 5 inf + 3074 21.572 * * [simplify]: Extracting #5: cost 1 inf + 3705 21.573 * * [simplify]: Extracting #6: cost 0 inf + 3888 21.575 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 21.575 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 21.575 * * * [progress]: adding candidates to table 24.000 * * [progress]: iteration 3 / 4 24.000 * * * [progress]: picking best candidate 24.041 * * * * [pick]: Picked # 24.041 * * * [progress]: localizing error 24.120 * * * [progress]: generating rewritten candidates 24.120 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 24.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 24.179 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 24.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 24.255 * * * [progress]: generating series expansions 24.255 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 24.256 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 24.256 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 24.256 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 24.257 * [taylor]: Taking taylor expansion of (cos th) in th 24.257 * [taylor]: Taking taylor expansion of th in th 24.257 * [backup-simplify]: Simplify 0 into 0 24.257 * [backup-simplify]: Simplify 1 into 1 24.257 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.257 * [taylor]: Taking taylor expansion of 2 in th 24.257 * [backup-simplify]: Simplify 2 into 2 24.257 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.258 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.258 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 24.258 * [taylor]: Taking taylor expansion of (cos th) in th 24.258 * [taylor]: Taking taylor expansion of th in th 24.258 * [backup-simplify]: Simplify 0 into 0 24.258 * [backup-simplify]: Simplify 1 into 1 24.258 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.258 * [taylor]: Taking taylor expansion of 2 in th 24.258 * [backup-simplify]: Simplify 2 into 2 24.259 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.260 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.261 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.261 * [backup-simplify]: Simplify (+ 0) into 0 24.262 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.262 * [backup-simplify]: Simplify 0 into 0 24.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 24.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.265 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.267 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.267 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.269 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 24.269 * [backup-simplify]: Simplify 0 into 0 24.271 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 24.272 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.275 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) 24.276 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) 24.279 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 24.279 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.279 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 24.279 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 24.279 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.280 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.280 * [taylor]: Taking taylor expansion of th in th 24.280 * [backup-simplify]: Simplify 0 into 0 24.280 * [backup-simplify]: Simplify 1 into 1 24.280 * [backup-simplify]: Simplify (/ 1 1) into 1 24.280 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.280 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.280 * [taylor]: Taking taylor expansion of 2 in th 24.280 * [backup-simplify]: Simplify 2 into 2 24.280 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.281 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.281 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 24.281 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.281 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.281 * [taylor]: Taking taylor expansion of th in th 24.281 * [backup-simplify]: Simplify 0 into 0 24.281 * [backup-simplify]: Simplify 1 into 1 24.281 * [backup-simplify]: Simplify (/ 1 1) into 1 24.281 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.281 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.281 * [taylor]: Taking taylor expansion of 2 in th 24.281 * [backup-simplify]: Simplify 2 into 2 24.282 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.282 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.283 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.284 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.284 * [backup-simplify]: Simplify 0 into 0 24.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.285 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.286 * [backup-simplify]: Simplify 0 into 0 24.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.288 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.288 * [backup-simplify]: Simplify 0 into 0 24.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.291 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.291 * [backup-simplify]: Simplify 0 into 0 24.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.294 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.294 * [backup-simplify]: Simplify 0 into 0 24.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.297 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.297 * [backup-simplify]: Simplify 0 into 0 24.297 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 24.298 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.298 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in (th) around 0 24.298 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 24.298 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.298 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.298 * [taylor]: Taking taylor expansion of -1 in th 24.298 * [backup-simplify]: Simplify -1 into -1 24.298 * [taylor]: Taking taylor expansion of th in th 24.298 * [backup-simplify]: Simplify 0 into 0 24.298 * [backup-simplify]: Simplify 1 into 1 24.298 * [backup-simplify]: Simplify (/ -1 1) into -1 24.298 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.298 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.298 * [taylor]: Taking taylor expansion of 2 in th 24.298 * [backup-simplify]: Simplify 2 into 2 24.299 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.299 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.299 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 24.299 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.299 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.299 * [taylor]: Taking taylor expansion of -1 in th 24.299 * [backup-simplify]: Simplify -1 into -1 24.299 * [taylor]: Taking taylor expansion of th in th 24.299 * [backup-simplify]: Simplify 0 into 0 24.299 * [backup-simplify]: Simplify 1 into 1 24.300 * [backup-simplify]: Simplify (/ -1 1) into -1 24.300 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.300 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.300 * [taylor]: Taking taylor expansion of 2 in th 24.300 * [backup-simplify]: Simplify 2 into 2 24.300 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.301 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.301 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.302 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.302 * [backup-simplify]: Simplify 0 into 0 24.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.304 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.304 * [backup-simplify]: Simplify 0 into 0 24.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.306 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.306 * [backup-simplify]: Simplify 0 into 0 24.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.309 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.309 * [backup-simplify]: Simplify 0 into 0 24.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.312 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.312 * [backup-simplify]: Simplify 0 into 0 24.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.322 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.322 * [backup-simplify]: Simplify 0 into 0 24.323 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 24.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 24.323 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 24.323 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in (th a2) around 0 24.323 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in a2 24.323 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 24.323 * [taylor]: Taking taylor expansion of (cos th) in a2 24.323 * [taylor]: Taking taylor expansion of th in a2 24.323 * [backup-simplify]: Simplify th into th 24.323 * [backup-simplify]: Simplify (cos th) into (cos th) 24.323 * [backup-simplify]: Simplify (sin th) into (sin th) 24.323 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.323 * [taylor]: Taking taylor expansion of a2 in a2 24.323 * [backup-simplify]: Simplify 0 into 0 24.323 * [backup-simplify]: Simplify 1 into 1 24.324 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.324 * [taylor]: Taking taylor expansion of 2 in a2 24.324 * [backup-simplify]: Simplify 2 into 2 24.324 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.324 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 24.324 * [backup-simplify]: Simplify (* (sin th) 0) into 0 24.325 * [backup-simplify]: Simplify (- 0) into 0 24.325 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 24.325 * [backup-simplify]: Simplify (* 1 1) into 1 24.325 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 24.325 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 24.325 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 24.325 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 24.325 * [taylor]: Taking taylor expansion of (cos th) in th 24.325 * [taylor]: Taking taylor expansion of th in th 24.325 * [backup-simplify]: Simplify 0 into 0 24.325 * [backup-simplify]: Simplify 1 into 1 24.325 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.325 * [taylor]: Taking taylor expansion of a2 in th 24.325 * [backup-simplify]: Simplify a2 into a2 24.325 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.325 * [taylor]: Taking taylor expansion of 2 in th 24.325 * [backup-simplify]: Simplify 2 into 2 24.326 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.326 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.326 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 24.326 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 24.326 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 24.326 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 24.326 * [taylor]: Taking taylor expansion of (cos th) in th 24.327 * [taylor]: Taking taylor expansion of th in th 24.327 * [backup-simplify]: Simplify 0 into 0 24.327 * [backup-simplify]: Simplify 1 into 1 24.327 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.327 * [taylor]: Taking taylor expansion of a2 in th 24.327 * [backup-simplify]: Simplify a2 into a2 24.327 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.327 * [taylor]: Taking taylor expansion of 2 in th 24.327 * [backup-simplify]: Simplify 2 into 2 24.327 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.327 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.327 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 24.328 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 24.328 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 24.328 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.328 * [taylor]: Taking taylor expansion of a2 in a2 24.328 * [backup-simplify]: Simplify 0 into 0 24.328 * [backup-simplify]: Simplify 1 into 1 24.328 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.328 * [taylor]: Taking taylor expansion of 2 in a2 24.328 * [backup-simplify]: Simplify 2 into 2 24.328 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.329 * [backup-simplify]: Simplify (* 1 1) into 1 24.329 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.330 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.330 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 24.330 * [backup-simplify]: Simplify (+ 0) into 0 24.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0 24.331 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.331 * [taylor]: Taking taylor expansion of 0 in a2 24.331 * [backup-simplify]: Simplify 0 into 0 24.331 * [backup-simplify]: Simplify 0 into 0 24.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.333 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.333 * [backup-simplify]: Simplify 0 into 0 24.333 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 24.333 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 24.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2))) 24.335 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.336 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 24.336 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 24.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 24.336 * [taylor]: Taking taylor expansion of 1/2 in a2 24.336 * [backup-simplify]: Simplify 1/2 into 1/2 24.336 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 24.336 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.336 * [taylor]: Taking taylor expansion of a2 in a2 24.336 * [backup-simplify]: Simplify 0 into 0 24.336 * [backup-simplify]: Simplify 1 into 1 24.336 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.336 * [taylor]: Taking taylor expansion of 2 in a2 24.336 * [backup-simplify]: Simplify 2 into 2 24.336 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.337 * [backup-simplify]: Simplify (* 1 1) into 1 24.338 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.339 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 24.339 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.341 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.341 * [backup-simplify]: Simplify 0 into 0 24.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.344 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.344 * [backup-simplify]: Simplify 0 into 0 24.345 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 24.346 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0 24.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.352 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 24.352 * [taylor]: Taking taylor expansion of 0 in a2 24.352 * [backup-simplify]: Simplify 0 into 0 24.352 * [backup-simplify]: Simplify 0 into 0 24.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.354 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 24.355 * [backup-simplify]: Simplify (- 0) into 0 24.355 * [backup-simplify]: Simplify 0 into 0 24.355 * [backup-simplify]: Simplify 0 into 0 24.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.359 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.359 * [backup-simplify]: Simplify 0 into 0 24.362 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 24.363 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 24.363 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 24.363 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 24.363 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 24.363 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 24.363 * [taylor]: Taking taylor expansion of th in a2 24.363 * [backup-simplify]: Simplify th into th 24.363 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 24.364 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.364 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 24.364 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 24.364 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.364 * [taylor]: Taking taylor expansion of 2 in a2 24.364 * [backup-simplify]: Simplify 2 into 2 24.364 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.365 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.365 * [taylor]: Taking taylor expansion of a2 in a2 24.365 * [backup-simplify]: Simplify 0 into 0 24.365 * [backup-simplify]: Simplify 1 into 1 24.365 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 24.365 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 24.366 * [backup-simplify]: Simplify (- 0) into 0 24.366 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 24.366 * [backup-simplify]: Simplify (* 1 1) into 1 24.367 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.367 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.368 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 24.368 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.368 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.368 * [taylor]: Taking taylor expansion of th in th 24.368 * [backup-simplify]: Simplify 0 into 0 24.368 * [backup-simplify]: Simplify 1 into 1 24.368 * [backup-simplify]: Simplify (/ 1 1) into 1 24.368 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.368 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 24.368 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.368 * [taylor]: Taking taylor expansion of 2 in th 24.368 * [backup-simplify]: Simplify 2 into 2 24.369 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.369 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.369 * [taylor]: Taking taylor expansion of a2 in th 24.369 * [backup-simplify]: Simplify a2 into a2 24.369 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.370 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 24.370 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 24.370 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 24.370 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.370 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.370 * [taylor]: Taking taylor expansion of th in th 24.370 * [backup-simplify]: Simplify 0 into 0 24.371 * [backup-simplify]: Simplify 1 into 1 24.371 * [backup-simplify]: Simplify (/ 1 1) into 1 24.371 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.371 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 24.371 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.371 * [taylor]: Taking taylor expansion of 2 in th 24.371 * [backup-simplify]: Simplify 2 into 2 24.372 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.372 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.372 * [taylor]: Taking taylor expansion of a2 in th 24.373 * [backup-simplify]: Simplify a2 into a2 24.373 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.373 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 24.374 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 24.374 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 24.374 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 24.374 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 24.374 * [taylor]: Taking taylor expansion of th in a2 24.374 * [backup-simplify]: Simplify th into th 24.374 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 24.374 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.374 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 24.374 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 24.374 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.374 * [taylor]: Taking taylor expansion of 2 in a2 24.374 * [backup-simplify]: Simplify 2 into 2 24.375 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.375 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.375 * [taylor]: Taking taylor expansion of a2 in a2 24.375 * [backup-simplify]: Simplify 0 into 0 24.375 * [backup-simplify]: Simplify 1 into 1 24.375 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 24.375 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 24.376 * [backup-simplify]: Simplify (- 0) into 0 24.376 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 24.376 * [backup-simplify]: Simplify (* 1 1) into 1 24.377 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.378 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.378 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.378 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 24.379 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 24.380 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.380 * [taylor]: Taking taylor expansion of 0 in a2 24.380 * [backup-simplify]: Simplify 0 into 0 24.381 * [backup-simplify]: Simplify (+ 0) into 0 24.381 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 24.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 24.382 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.383 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 24.383 * [backup-simplify]: Simplify (- 0) into 0 24.383 * [backup-simplify]: Simplify (+ 0 0) into 0 24.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.385 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 24.386 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.386 * [backup-simplify]: Simplify 0 into 0 24.387 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 24.388 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.389 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 24.391 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.391 * [taylor]: Taking taylor expansion of 0 in a2 24.391 * [backup-simplify]: Simplify 0 into 0 24.392 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.392 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 24.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.393 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.394 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 24.394 * [backup-simplify]: Simplify (- 0) into 0 24.395 * [backup-simplify]: Simplify (+ 0 0) into 0 24.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.398 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 24.400 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.400 * [backup-simplify]: Simplify 0 into 0 24.401 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 24.402 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.404 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 24.406 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.406 * [taylor]: Taking taylor expansion of 0 in a2 24.406 * [backup-simplify]: Simplify 0 into 0 24.406 * [backup-simplify]: Simplify 0 into 0 24.407 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.408 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.411 * [backup-simplify]: Simplify (- 0) into 0 24.411 * [backup-simplify]: Simplify (+ 0 0) into 0 24.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.415 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.417 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.417 * [backup-simplify]: Simplify 0 into 0 24.419 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 24.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.422 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 24.425 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.425 * [taylor]: Taking taylor expansion of 0 in a2 24.425 * [backup-simplify]: Simplify 0 into 0 24.425 * [backup-simplify]: Simplify 0 into 0 24.425 * [backup-simplify]: Simplify 0 into 0 24.425 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 24.426 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 24.426 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 24.426 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 24.426 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 24.426 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 24.426 * [taylor]: Taking taylor expansion of -1 in a2 24.426 * [backup-simplify]: Simplify -1 into -1 24.426 * [taylor]: Taking taylor expansion of th in a2 24.426 * [backup-simplify]: Simplify th into th 24.426 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 24.426 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.427 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 24.427 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 24.427 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.427 * [taylor]: Taking taylor expansion of 2 in a2 24.427 * [backup-simplify]: Simplify 2 into 2 24.427 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.428 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.428 * [taylor]: Taking taylor expansion of a2 in a2 24.428 * [backup-simplify]: Simplify 0 into 0 24.428 * [backup-simplify]: Simplify 1 into 1 24.428 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 24.428 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 24.428 * [backup-simplify]: Simplify (- 0) into 0 24.429 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 24.429 * [backup-simplify]: Simplify (* 1 1) into 1 24.430 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.430 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.430 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 24.430 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.430 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.430 * [taylor]: Taking taylor expansion of -1 in th 24.430 * [backup-simplify]: Simplify -1 into -1 24.430 * [taylor]: Taking taylor expansion of th in th 24.430 * [backup-simplify]: Simplify 0 into 0 24.430 * [backup-simplify]: Simplify 1 into 1 24.431 * [backup-simplify]: Simplify (/ -1 1) into -1 24.431 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.431 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 24.431 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.431 * [taylor]: Taking taylor expansion of 2 in th 24.431 * [backup-simplify]: Simplify 2 into 2 24.431 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.432 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.432 * [taylor]: Taking taylor expansion of a2 in th 24.432 * [backup-simplify]: Simplify a2 into a2 24.432 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.433 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 24.433 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 24.433 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 24.433 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.433 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.433 * [taylor]: Taking taylor expansion of -1 in th 24.433 * [backup-simplify]: Simplify -1 into -1 24.434 * [taylor]: Taking taylor expansion of th in th 24.434 * [backup-simplify]: Simplify 0 into 0 24.434 * [backup-simplify]: Simplify 1 into 1 24.434 * [backup-simplify]: Simplify (/ -1 1) into -1 24.434 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.434 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 24.434 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.434 * [taylor]: Taking taylor expansion of 2 in th 24.434 * [backup-simplify]: Simplify 2 into 2 24.435 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.435 * [taylor]: Taking taylor expansion of (pow a2 2) in th 24.435 * [taylor]: Taking taylor expansion of a2 in th 24.435 * [backup-simplify]: Simplify a2 into a2 24.435 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 24.436 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 24.436 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 24.436 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 24.437 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 24.437 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 24.437 * [taylor]: Taking taylor expansion of -1 in a2 24.437 * [backup-simplify]: Simplify -1 into -1 24.437 * [taylor]: Taking taylor expansion of th in a2 24.437 * [backup-simplify]: Simplify th into th 24.437 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 24.437 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.437 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 24.437 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 24.437 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 24.437 * [taylor]: Taking taylor expansion of 2 in a2 24.437 * [backup-simplify]: Simplify 2 into 2 24.437 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.438 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 24.438 * [taylor]: Taking taylor expansion of a2 in a2 24.438 * [backup-simplify]: Simplify 0 into 0 24.438 * [backup-simplify]: Simplify 1 into 1 24.438 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 24.438 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 24.439 * [backup-simplify]: Simplify (- 0) into 0 24.439 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 24.439 * [backup-simplify]: Simplify (* 1 1) into 1 24.440 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.440 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.441 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.441 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 24.442 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 24.443 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.443 * [taylor]: Taking taylor expansion of 0 in a2 24.443 * [backup-simplify]: Simplify 0 into 0 24.444 * [backup-simplify]: Simplify (+ 0) into 0 24.444 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 24.444 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 24.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.445 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 24.446 * [backup-simplify]: Simplify (- 0) into 0 24.446 * [backup-simplify]: Simplify (+ 0 0) into 0 24.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.448 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 24.450 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.450 * [backup-simplify]: Simplify 0 into 0 24.450 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 24.451 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.452 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 24.456 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.456 * [taylor]: Taking taylor expansion of 0 in a2 24.456 * [backup-simplify]: Simplify 0 into 0 24.457 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 24.457 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.458 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 24.458 * [backup-simplify]: Simplify (- 0) into 0 24.458 * [backup-simplify]: Simplify (+ 0 0) into 0 24.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.460 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 24.461 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.461 * [backup-simplify]: Simplify 0 into 0 24.462 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 24.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.463 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 24.465 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.465 * [taylor]: Taking taylor expansion of 0 in a2 24.465 * [backup-simplify]: Simplify 0 into 0 24.465 * [backup-simplify]: Simplify 0 into 0 24.466 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.466 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.467 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.468 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.468 * [backup-simplify]: Simplify (- 0) into 0 24.468 * [backup-simplify]: Simplify (+ 0 0) into 0 24.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.470 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.472 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.472 * [backup-simplify]: Simplify 0 into 0 24.473 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 24.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.475 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 24.477 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 24.477 * [taylor]: Taking taylor expansion of 0 in a2 24.477 * [backup-simplify]: Simplify 0 into 0 24.477 * [backup-simplify]: Simplify 0 into 0 24.477 * [backup-simplify]: Simplify 0 into 0 24.477 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 24.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 24.480 * [backup-simplify]: Simplify (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 24.480 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in (th a1) around 0 24.480 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in a1 24.480 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 24.480 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.480 * [taylor]: Taking taylor expansion of a1 in a1 24.480 * [backup-simplify]: Simplify 0 into 0 24.480 * [backup-simplify]: Simplify 1 into 1 24.480 * [taylor]: Taking taylor expansion of (cos th) in a1 24.480 * [taylor]: Taking taylor expansion of th in a1 24.480 * [backup-simplify]: Simplify th into th 24.480 * [backup-simplify]: Simplify (cos th) into (cos th) 24.480 * [backup-simplify]: Simplify (sin th) into (sin th) 24.480 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.480 * [taylor]: Taking taylor expansion of 2 in a1 24.480 * [backup-simplify]: Simplify 2 into 2 24.480 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.481 * [backup-simplify]: Simplify (* 1 1) into 1 24.481 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 24.481 * [backup-simplify]: Simplify (* (sin th) 0) into 0 24.481 * [backup-simplify]: Simplify (- 0) into 0 24.481 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 24.481 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th) 24.482 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 24.482 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 24.482 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 24.482 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.482 * [taylor]: Taking taylor expansion of a1 in th 24.482 * [backup-simplify]: Simplify a1 into a1 24.482 * [taylor]: Taking taylor expansion of (cos th) in th 24.482 * [taylor]: Taking taylor expansion of th in th 24.482 * [backup-simplify]: Simplify 0 into 0 24.482 * [backup-simplify]: Simplify 1 into 1 24.482 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.482 * [taylor]: Taking taylor expansion of 2 in th 24.482 * [backup-simplify]: Simplify 2 into 2 24.482 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.483 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.483 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 24.483 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 24.483 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 24.483 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 24.483 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.483 * [taylor]: Taking taylor expansion of a1 in th 24.483 * [backup-simplify]: Simplify a1 into a1 24.483 * [taylor]: Taking taylor expansion of (cos th) in th 24.483 * [taylor]: Taking taylor expansion of th in th 24.483 * [backup-simplify]: Simplify 0 into 0 24.483 * [backup-simplify]: Simplify 1 into 1 24.483 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.483 * [taylor]: Taking taylor expansion of 2 in th 24.483 * [backup-simplify]: Simplify 2 into 2 24.483 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.484 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.484 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 24.484 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 24.484 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 24.484 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.484 * [taylor]: Taking taylor expansion of a1 in a1 24.484 * [backup-simplify]: Simplify 0 into 0 24.484 * [backup-simplify]: Simplify 1 into 1 24.484 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.484 * [taylor]: Taking taylor expansion of 2 in a1 24.484 * [backup-simplify]: Simplify 2 into 2 24.485 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.485 * [backup-simplify]: Simplify (* 1 1) into 1 24.486 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.486 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.487 * [backup-simplify]: Simplify (+ 0) into 0 24.487 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 24.487 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0 24.488 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.488 * [taylor]: Taking taylor expansion of 0 in a1 24.488 * [backup-simplify]: Simplify 0 into 0 24.488 * [backup-simplify]: Simplify 0 into 0 24.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.489 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.489 * [backup-simplify]: Simplify 0 into 0 24.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 24.490 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 24.490 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2))) 24.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.492 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) 24.492 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 24.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 24.492 * [taylor]: Taking taylor expansion of 1/2 in a1 24.492 * [backup-simplify]: Simplify 1/2 into 1/2 24.492 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 24.492 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.492 * [taylor]: Taking taylor expansion of a1 in a1 24.493 * [backup-simplify]: Simplify 0 into 0 24.493 * [backup-simplify]: Simplify 1 into 1 24.493 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.493 * [taylor]: Taking taylor expansion of 2 in a1 24.493 * [backup-simplify]: Simplify 2 into 2 24.493 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.493 * [backup-simplify]: Simplify (* 1 1) into 1 24.494 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 24.495 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 24.496 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.497 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 24.497 * [backup-simplify]: Simplify 0 into 0 24.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.499 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.499 * [backup-simplify]: Simplify 0 into 0 24.500 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.500 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 24.501 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 24.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.504 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 24.504 * [taylor]: Taking taylor expansion of 0 in a1 24.504 * [backup-simplify]: Simplify 0 into 0 24.504 * [backup-simplify]: Simplify 0 into 0 24.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.505 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 24.506 * [backup-simplify]: Simplify (- 0) into 0 24.506 * [backup-simplify]: Simplify 0 into 0 24.506 * [backup-simplify]: Simplify 0 into 0 24.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.508 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.508 * [backup-simplify]: Simplify 0 into 0 24.510 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 24.513 * [backup-simplify]: Simplify (/ (/ (* (cos (/ 1 th)) (/ 1 a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 24.513 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in (th a1) around 0 24.513 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 24.513 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 24.513 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 24.513 * [taylor]: Taking taylor expansion of th in a1 24.513 * [backup-simplify]: Simplify th into th 24.513 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 24.513 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.513 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 24.513 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 24.513 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.513 * [taylor]: Taking taylor expansion of 2 in a1 24.513 * [backup-simplify]: Simplify 2 into 2 24.513 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.514 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.514 * [taylor]: Taking taylor expansion of a1 in a1 24.514 * [backup-simplify]: Simplify 0 into 0 24.514 * [backup-simplify]: Simplify 1 into 1 24.514 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 24.514 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 24.514 * [backup-simplify]: Simplify (- 0) into 0 24.514 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 24.514 * [backup-simplify]: Simplify (* 1 1) into 1 24.515 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.515 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.515 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 24.515 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.515 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.515 * [taylor]: Taking taylor expansion of th in th 24.515 * [backup-simplify]: Simplify 0 into 0 24.515 * [backup-simplify]: Simplify 1 into 1 24.515 * [backup-simplify]: Simplify (/ 1 1) into 1 24.516 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.516 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 24.516 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.516 * [taylor]: Taking taylor expansion of 2 in th 24.516 * [backup-simplify]: Simplify 2 into 2 24.516 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.516 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.516 * [taylor]: Taking taylor expansion of a1 in th 24.516 * [backup-simplify]: Simplify a1 into a1 24.516 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.517 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 24.517 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 24.517 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 24.517 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 24.517 * [taylor]: Taking taylor expansion of (/ 1 th) in th 24.517 * [taylor]: Taking taylor expansion of th in th 24.517 * [backup-simplify]: Simplify 0 into 0 24.517 * [backup-simplify]: Simplify 1 into 1 24.517 * [backup-simplify]: Simplify (/ 1 1) into 1 24.517 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.517 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 24.517 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.517 * [taylor]: Taking taylor expansion of 2 in th 24.517 * [backup-simplify]: Simplify 2 into 2 24.518 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.518 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.518 * [taylor]: Taking taylor expansion of a1 in th 24.518 * [backup-simplify]: Simplify a1 into a1 24.518 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.518 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 24.519 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 24.519 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 24.519 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 24.519 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 24.519 * [taylor]: Taking taylor expansion of th in a1 24.519 * [backup-simplify]: Simplify th into th 24.519 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 24.519 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 24.519 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 24.519 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 24.519 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.519 * [taylor]: Taking taylor expansion of 2 in a1 24.519 * [backup-simplify]: Simplify 2 into 2 24.519 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.520 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.520 * [taylor]: Taking taylor expansion of a1 in a1 24.520 * [backup-simplify]: Simplify 0 into 0 24.520 * [backup-simplify]: Simplify 1 into 1 24.520 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 24.520 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 24.520 * [backup-simplify]: Simplify (- 0) into 0 24.520 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 24.520 * [backup-simplify]: Simplify (* 1 1) into 1 24.521 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 24.521 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.522 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 24.522 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 24.522 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a1 2))) into 0 24.523 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.523 * [taylor]: Taking taylor expansion of 0 in a1 24.523 * [backup-simplify]: Simplify 0 into 0 24.523 * [backup-simplify]: Simplify (+ 0) into 0 24.524 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 24.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 24.524 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 24.525 * [backup-simplify]: Simplify (- 0) into 0 24.525 * [backup-simplify]: Simplify (+ 0 0) into 0 24.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.526 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 24.527 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.527 * [backup-simplify]: Simplify 0 into 0 24.527 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 24.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.528 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0 24.530 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.530 * [taylor]: Taking taylor expansion of 0 in a1 24.530 * [backup-simplify]: Simplify 0 into 0 24.530 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 24.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.531 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 24.532 * [backup-simplify]: Simplify (- 0) into 0 24.532 * [backup-simplify]: Simplify (+ 0 0) into 0 24.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.534 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 24.535 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.535 * [backup-simplify]: Simplify 0 into 0 24.536 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 24.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.537 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0 24.538 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.539 * [taylor]: Taking taylor expansion of 0 in a1 24.539 * [backup-simplify]: Simplify 0 into 0 24.539 * [backup-simplify]: Simplify 0 into 0 24.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.540 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.541 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.541 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.541 * [backup-simplify]: Simplify (- 0) into 0 24.542 * [backup-simplify]: Simplify (+ 0 0) into 0 24.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.546 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.548 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.548 * [backup-simplify]: Simplify 0 into 0 24.548 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 24.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.550 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0 24.552 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.552 * [taylor]: Taking taylor expansion of 0 in a1 24.552 * [backup-simplify]: Simplify 0 into 0 24.552 * [backup-simplify]: Simplify 0 into 0 24.552 * [backup-simplify]: Simplify 0 into 0 24.552 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 24.556 * [backup-simplify]: Simplify (/ (/ (* (cos (/ 1 (- th))) (/ 1 (- a1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 24.556 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in (th a1) around 0 24.556 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 24.556 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 24.556 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 24.557 * [taylor]: Taking taylor expansion of -1 in a1 24.557 * [backup-simplify]: Simplify -1 into -1 24.557 * [taylor]: Taking taylor expansion of th in a1 24.557 * [backup-simplify]: Simplify th into th 24.557 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 24.557 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.557 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 24.557 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 24.557 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.557 * [taylor]: Taking taylor expansion of a1 in a1 24.557 * [backup-simplify]: Simplify 0 into 0 24.557 * [backup-simplify]: Simplify 1 into 1 24.557 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.557 * [taylor]: Taking taylor expansion of 2 in a1 24.557 * [backup-simplify]: Simplify 2 into 2 24.557 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.558 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 24.558 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 24.559 * [backup-simplify]: Simplify (- 0) into 0 24.559 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 24.559 * [backup-simplify]: Simplify (* 1 1) into 1 24.560 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 24.561 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.561 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 24.561 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.561 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.561 * [taylor]: Taking taylor expansion of -1 in th 24.561 * [backup-simplify]: Simplify -1 into -1 24.561 * [taylor]: Taking taylor expansion of th in th 24.561 * [backup-simplify]: Simplify 0 into 0 24.561 * [backup-simplify]: Simplify 1 into 1 24.561 * [backup-simplify]: Simplify (/ -1 1) into -1 24.561 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.561 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 24.561 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.561 * [taylor]: Taking taylor expansion of a1 in th 24.561 * [backup-simplify]: Simplify a1 into a1 24.561 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.561 * [taylor]: Taking taylor expansion of 2 in th 24.562 * [backup-simplify]: Simplify 2 into 2 24.562 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.563 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.563 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 24.564 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 24.564 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 24.564 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 24.564 * [taylor]: Taking taylor expansion of (/ -1 th) in th 24.564 * [taylor]: Taking taylor expansion of -1 in th 24.564 * [backup-simplify]: Simplify -1 into -1 24.564 * [taylor]: Taking taylor expansion of th in th 24.564 * [backup-simplify]: Simplify 0 into 0 24.564 * [backup-simplify]: Simplify 1 into 1 24.564 * [backup-simplify]: Simplify (/ -1 1) into -1 24.564 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.564 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 24.564 * [taylor]: Taking taylor expansion of (pow a1 2) in th 24.564 * [taylor]: Taking taylor expansion of a1 in th 24.564 * [backup-simplify]: Simplify a1 into a1 24.565 * [taylor]: Taking taylor expansion of (sqrt 2) in th 24.565 * [taylor]: Taking taylor expansion of 2 in th 24.565 * [backup-simplify]: Simplify 2 into 2 24.565 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.566 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 24.566 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 24.567 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 24.567 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 24.567 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 24.567 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 24.567 * [taylor]: Taking taylor expansion of -1 in a1 24.567 * [backup-simplify]: Simplify -1 into -1 24.567 * [taylor]: Taking taylor expansion of th in a1 24.567 * [backup-simplify]: Simplify th into th 24.567 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 24.567 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 24.567 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 24.567 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 24.567 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 24.567 * [taylor]: Taking taylor expansion of a1 in a1 24.567 * [backup-simplify]: Simplify 0 into 0 24.567 * [backup-simplify]: Simplify 1 into 1 24.567 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.567 * [taylor]: Taking taylor expansion of 2 in a1 24.567 * [backup-simplify]: Simplify 2 into 2 24.568 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.569 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 24.569 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 24.569 * [backup-simplify]: Simplify (- 0) into 0 24.569 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 24.569 * [backup-simplify]: Simplify (* 1 1) into 1 24.570 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 24.571 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.571 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 24.572 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 24.572 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2))) into 0 24.574 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.574 * [taylor]: Taking taylor expansion of 0 in a1 24.574 * [backup-simplify]: Simplify 0 into 0 24.575 * [backup-simplify]: Simplify (+ 0) into 0 24.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 24.576 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 24.576 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.577 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 24.577 * [backup-simplify]: Simplify (- 0) into 0 24.578 * [backup-simplify]: Simplify (+ 0 0) into 0 24.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 24.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 24.581 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 24.581 * [backup-simplify]: Simplify 0 into 0 24.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.582 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 24.583 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 24.585 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.585 * [taylor]: Taking taylor expansion of 0 in a1 24.585 * [backup-simplify]: Simplify 0 into 0 24.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.587 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 24.587 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.588 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 24.589 * [backup-simplify]: Simplify (- 0) into 0 24.589 * [backup-simplify]: Simplify (+ 0 0) into 0 24.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 24.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 24.594 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.594 * [backup-simplify]: Simplify 0 into 0 24.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.596 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 24.597 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 24.600 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.600 * [taylor]: Taking taylor expansion of 0 in a1 24.600 * [backup-simplify]: Simplify 0 into 0 24.600 * [backup-simplify]: Simplify 0 into 0 24.601 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.602 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.602 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 24.603 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 24.604 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 24.605 * [backup-simplify]: Simplify (- 0) into 0 24.605 * [backup-simplify]: Simplify (+ 0 0) into 0 24.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 24.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 24.611 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 24.611 * [backup-simplify]: Simplify 0 into 0 24.612 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.614 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 24.615 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 24.618 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 24.618 * [taylor]: Taking taylor expansion of 0 in a1 24.618 * [backup-simplify]: Simplify 0 into 0 24.618 * [backup-simplify]: Simplify 0 into 0 24.618 * [backup-simplify]: Simplify 0 into 0 24.618 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 24.618 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 24.619 * [backup-simplify]: Simplify (/ (cbrt (sqrt 2)) a1) into (* (/ 1 a1) (pow (sqrt 2) 1/3)) 24.619 * [approximate]: Taking taylor expansion of (* (/ 1 a1) (pow (sqrt 2) 1/3)) in (a1) around 0 24.619 * [taylor]: Taking taylor expansion of (* (/ 1 a1) (pow (sqrt 2) 1/3)) in a1 24.620 * [taylor]: Taking taylor expansion of (/ 1 a1) in a1 24.620 * [taylor]: Taking taylor expansion of a1 in a1 24.620 * [backup-simplify]: Simplify 0 into 0 24.620 * [backup-simplify]: Simplify 1 into 1 24.620 * [backup-simplify]: Simplify (/ 1 1) into 1 24.620 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.620 * [taylor]: Taking taylor expansion of 1/3 in a1 24.620 * [backup-simplify]: Simplify 1/3 into 1/3 24.620 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.620 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.620 * [taylor]: Taking taylor expansion of 2 in a1 24.620 * [backup-simplify]: Simplify 2 into 2 24.621 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.622 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.624 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.626 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.626 * [taylor]: Taking taylor expansion of (* (/ 1 a1) (pow (sqrt 2) 1/3)) in a1 24.626 * [taylor]: Taking taylor expansion of (/ 1 a1) in a1 24.626 * [taylor]: Taking taylor expansion of a1 in a1 24.626 * [backup-simplify]: Simplify 0 into 0 24.626 * [backup-simplify]: Simplify 1 into 1 24.626 * [backup-simplify]: Simplify (/ 1 1) into 1 24.626 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.626 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.626 * [taylor]: Taking taylor expansion of 1/3 in a1 24.626 * [backup-simplify]: Simplify 1/3 into 1/3 24.626 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.626 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.626 * [taylor]: Taking taylor expansion of 2 in a1 24.626 * [backup-simplify]: Simplify 2 into 2 24.627 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.628 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.630 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.632 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.634 * [backup-simplify]: Simplify (* 1 (pow (sqrt 2) 1/3)) into (pow (sqrt 2) 1/3) 24.635 * [backup-simplify]: Simplify (pow (sqrt 2) 1/3) into (pow (sqrt 2) 1/3) 24.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 24.638 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 24.639 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 24.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 2) 1/3))) into 0 24.641 * [backup-simplify]: Simplify 0 into 0 24.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 24.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 24.649 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))) into 0 24.651 * [backup-simplify]: Simplify 0 into 0 24.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.658 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 24.660 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 24.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0 24.665 * [backup-simplify]: Simplify 0 into 0 24.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.678 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0 24.680 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0 24.684 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0 24.690 * [backup-simplify]: Simplify 0 into 0 24.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.709 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0 24.711 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0 24.717 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))))) into 0 24.720 * [backup-simplify]: Simplify 0 into 0 24.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.753 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0 24.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0 24.763 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))))) into 0 24.766 * [backup-simplify]: Simplify 0 into 0 24.767 * [backup-simplify]: Simplify (* (pow (sqrt 2) 1/3) (/ 1 a1)) into (* (/ 1 a1) (pow (sqrt 2) 1/3)) 24.767 * [backup-simplify]: Simplify (/ (cbrt (sqrt 2)) (/ 1 a1)) into (* a1 (pow (sqrt 2) 1/3)) 24.767 * [approximate]: Taking taylor expansion of (* a1 (pow (sqrt 2) 1/3)) in (a1) around 0 24.767 * [taylor]: Taking taylor expansion of (* a1 (pow (sqrt 2) 1/3)) in a1 24.767 * [taylor]: Taking taylor expansion of a1 in a1 24.767 * [backup-simplify]: Simplify 0 into 0 24.768 * [backup-simplify]: Simplify 1 into 1 24.768 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.768 * [taylor]: Taking taylor expansion of 1/3 in a1 24.768 * [backup-simplify]: Simplify 1/3 into 1/3 24.768 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.768 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.768 * [taylor]: Taking taylor expansion of 2 in a1 24.768 * [backup-simplify]: Simplify 2 into 2 24.768 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.769 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.770 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.771 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.771 * [taylor]: Taking taylor expansion of (* a1 (pow (sqrt 2) 1/3)) in a1 24.771 * [taylor]: Taking taylor expansion of a1 in a1 24.771 * [backup-simplify]: Simplify 0 into 0 24.771 * [backup-simplify]: Simplify 1 into 1 24.771 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.771 * [taylor]: Taking taylor expansion of 1/3 in a1 24.771 * [backup-simplify]: Simplify 1/3 into 1/3 24.771 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.771 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.771 * [taylor]: Taking taylor expansion of 2 in a1 24.771 * [backup-simplify]: Simplify 2 into 2 24.771 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.772 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.773 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.774 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.775 * [backup-simplify]: Simplify (* 0 (pow (sqrt 2) 1/3)) into 0 24.775 * [backup-simplify]: Simplify 0 into 0 24.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 24.777 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 24.777 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 24.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 2) 1/3))) into (pow (sqrt 2) 1/3) 24.780 * [backup-simplify]: Simplify (pow (sqrt 2) 1/3) into (pow (sqrt 2) 1/3) 24.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 24.783 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 24.784 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 2) 1/3)))) into 0 24.785 * [backup-simplify]: Simplify 0 into 0 24.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.789 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 24.790 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 24.792 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0 24.793 * [backup-simplify]: Simplify 0 into 0 24.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.805 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0 24.807 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0 24.811 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0 24.815 * [backup-simplify]: Simplify 0 into 0 24.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.827 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0 24.828 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0 24.831 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))))) into 0 24.832 * [backup-simplify]: Simplify 0 into 0 24.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.854 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0 24.856 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0 24.864 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))))) into 0 24.867 * [backup-simplify]: Simplify 0 into 0 24.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.922 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow (sqrt 2) 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow (sqrt 2) 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow (sqrt 2) 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow (sqrt 2) 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow (sqrt 2) 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (sqrt 2) 1)))) 5040) into 0 24.925 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))))) into 0 24.936 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))))))) into 0 24.941 * [backup-simplify]: Simplify 0 into 0 24.942 * [backup-simplify]: Simplify (* (pow (sqrt 2) 1/3) (/ 1 a1)) into (* (/ 1 a1) (pow (sqrt 2) 1/3)) 24.943 * [backup-simplify]: Simplify (/ (cbrt (sqrt 2)) (/ 1 (- a1))) into (* -1 (* a1 (pow (sqrt 2) 1/3))) 24.943 * [approximate]: Taking taylor expansion of (* -1 (* a1 (pow (sqrt 2) 1/3))) in (a1) around 0 24.943 * [taylor]: Taking taylor expansion of (* -1 (* a1 (pow (sqrt 2) 1/3))) in a1 24.943 * [taylor]: Taking taylor expansion of -1 in a1 24.943 * [backup-simplify]: Simplify -1 into -1 24.943 * [taylor]: Taking taylor expansion of (* a1 (pow (sqrt 2) 1/3)) in a1 24.943 * [taylor]: Taking taylor expansion of a1 in a1 24.943 * [backup-simplify]: Simplify 0 into 0 24.943 * [backup-simplify]: Simplify 1 into 1 24.943 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.943 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.943 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.943 * [taylor]: Taking taylor expansion of 1/3 in a1 24.943 * [backup-simplify]: Simplify 1/3 into 1/3 24.943 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.943 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.943 * [taylor]: Taking taylor expansion of 2 in a1 24.944 * [backup-simplify]: Simplify 2 into 2 24.944 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.945 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.947 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.949 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.949 * [taylor]: Taking taylor expansion of (* -1 (* a1 (pow (sqrt 2) 1/3))) in a1 24.949 * [taylor]: Taking taylor expansion of -1 in a1 24.949 * [backup-simplify]: Simplify -1 into -1 24.949 * [taylor]: Taking taylor expansion of (* a1 (pow (sqrt 2) 1/3)) in a1 24.949 * [taylor]: Taking taylor expansion of a1 in a1 24.949 * [backup-simplify]: Simplify 0 into 0 24.949 * [backup-simplify]: Simplify 1 into 1 24.949 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 1/3) in a1 24.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sqrt 2)))) in a1 24.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (sqrt 2))) in a1 24.949 * [taylor]: Taking taylor expansion of 1/3 in a1 24.949 * [backup-simplify]: Simplify 1/3 into 1/3 24.949 * [taylor]: Taking taylor expansion of (log (sqrt 2)) in a1 24.949 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 24.949 * [taylor]: Taking taylor expansion of 2 in a1 24.949 * [backup-simplify]: Simplify 2 into 2 24.950 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 24.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 24.951 * [backup-simplify]: Simplify (log (sqrt 2)) into (log (sqrt 2)) 24.953 * [backup-simplify]: Simplify (* 1/3 (log (sqrt 2))) into (* 1/3 (log (sqrt 2))) 24.955 * [backup-simplify]: Simplify (exp (* 1/3 (log (sqrt 2)))) into (pow (sqrt 2) 1/3) 24.956 * [backup-simplify]: Simplify (* 0 (pow (sqrt 2) 1/3)) into 0 24.956 * [backup-simplify]: Simplify (* -1 0) into 0 24.956 * [backup-simplify]: Simplify 0 into 0 24.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 24.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (sqrt 2)))) into 0 24.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 24.961 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (sqrt 2) 1/3))) into (pow (sqrt 2) 1/3) 24.963 * [backup-simplify]: Simplify (+ (* -1 (pow (sqrt 2) 1/3)) (* 0 0)) into (- (pow (sqrt 2) 1/3)) 24.963 * [backup-simplify]: Simplify (- (pow (sqrt 2) 1/3)) into (- (pow (sqrt 2) 1/3)) 24.964 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 24.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt 2) 1)))) 2) into 0 24.966 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (sqrt 2))))) into 0 24.968 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sqrt 2) 1/3)))) into 0 24.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0))) into 0 24.969 * [backup-simplify]: Simplify 0 into 0 24.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.973 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 24.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))) into 0 24.975 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))) into 0 24.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0)))) into 0 24.977 * [backup-simplify]: Simplify 0 into 0 24.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 24.984 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 1)))) 24) into 0 24.985 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))) into 0 24.990 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))) into 0 24.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0))))) into 0 24.994 * [backup-simplify]: Simplify 0 into 0 24.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.013 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt 2) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt 2) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 1)))) 120) into 0 25.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))) into 0 25.020 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))))) into 0 25.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0)))))) into 0 25.024 * [backup-simplify]: Simplify 0 into 0 25.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.054 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt 2) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt 2) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt 2) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt 2) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt 2) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 1)))) 720) into 0 25.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2))))))))) into 0 25.064 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3)))))))) into 0 25.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0))))))) into 0 25.067 * [backup-simplify]: Simplify 0 into 0 25.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 25.110 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow (sqrt 2) 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow (sqrt 2) 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow (sqrt 2) 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow (sqrt 2) 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt 2) 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow (sqrt 2) 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow (sqrt 2) 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow (sqrt 2) 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt 2) 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow (sqrt 2) 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow (sqrt 2) 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow (sqrt 2) 1)))) 5040) into 0 25.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (sqrt 2)))))))))) into 0 25.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (sqrt 2)))) (+ (* (/ (pow 0 7) 5040)) (* (/ (pow 0 5) 120) (/ (pow 0 1) 1)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 2) 2)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 1/3))))))))) into 0 25.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow (sqrt 2) 1/3)) (* 0 0)))))))) into 0 25.129 * [backup-simplify]: Simplify 0 into 0 25.131 * [backup-simplify]: Simplify (* (- (pow (sqrt 2) 1/3)) (/ 1 (- a1))) into (* (/ 1 a1) (pow (sqrt 2) 1/3)) 25.131 * * * [progress]: simplifying candidates 25.131 * * * * [progress]: [ 1 / 614 ] simplifiying candidate # 25.131 * * * * [progress]: [ 2 / 614 ] simplifiying candidate # 25.131 * [simplify]: Simplifying (- (log (cos th)) (log (sqrt 2))) 25.131 * * [simplify]: iters left: 4 (7 enodes) 25.135 * * [simplify]: iters left: 3 (23 enodes) 25.142 * * [simplify]: iters left: 2 (26 enodes) 25.150 * * [simplify]: Extracting #0: cost 1 inf + 0 25.150 * * [simplify]: Extracting #1: cost 5 inf + 0 25.150 * * [simplify]: Extracting #2: cost 10 inf + 0 25.150 * * [simplify]: Extracting #3: cost 14 inf + 0 25.150 * * [simplify]: Extracting #4: cost 12 inf + 2 25.150 * * [simplify]: Extracting #5: cost 6 inf + 468 25.151 * * [simplify]: Extracting #6: cost 1 inf + 1274 25.151 * * [simplify]: Extracting #7: cost 0 inf + 1556 25.151 * [simplify]: Simplified to (- (log (cos th)) (log (sqrt 2))) 25.152 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2)))) 25.152 * * * * [progress]: [ 3 / 614 ] simplifiying candidate # 25.152 * * * * [progress]: [ 4 / 614 ] simplifiying candidate # 25.152 * * * * [progress]: [ 5 / 614 ] simplifiying candidate # 25.152 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 25.152 * * [simplify]: iters left: 6 (9 enodes) 25.157 * * [simplify]: iters left: 5 (34 enodes) 25.170 * * [simplify]: iters left: 4 (74 enodes) 25.204 * * [simplify]: iters left: 3 (146 enodes) 25.254 * * [simplify]: iters left: 2 (206 enodes) 25.309 * * [simplify]: iters left: 1 (295 enodes) 25.386 * * [simplify]: Extracting #0: cost 1 inf + 0 25.386 * * [simplify]: Extracting #1: cost 49 inf + 0 25.387 * * [simplify]: Extracting #2: cost 103 inf + 123 25.388 * * [simplify]: Extracting #3: cost 82 inf + 3103 25.390 * * [simplify]: Extracting #4: cost 39 inf + 15197 25.393 * * [simplify]: Extracting #5: cost 6 inf + 30076 25.397 * * [simplify]: Extracting #6: cost 0 inf + 33438 25.401 * [simplify]: Simplified to (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2)))) 25.401 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (cbrt (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2))))) (* a2 a2)))) 25.402 * * * * [progress]: [ 6 / 614 ] simplifiying candidate # 25.402 * * * * [progress]: [ 7 / 614 ] simplifiying candidate # 25.402 * * * * [progress]: [ 8 / 614 ] simplifiying candidate # 25.402 * * * * [progress]: [ 9 / 614 ] simplifiying candidate # 25.402 * * * * [progress]: [ 10 / 614 ] simplifiying candidate # 25.402 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 25.402 * * [simplify]: iters left: 6 (9 enodes) 25.405 * * [simplify]: iters left: 5 (33 enodes) 25.410 * * [simplify]: iters left: 4 (48 enodes) 25.417 * * [simplify]: iters left: 3 (55 enodes) 25.425 * * [simplify]: iters left: 2 (58 enodes) 25.441 * * [simplify]: Extracting #0: cost 1 inf + 0 25.442 * * [simplify]: Extracting #1: cost 11 inf + 0 25.442 * * [simplify]: Extracting #2: cost 22 inf + 0 25.442 * * [simplify]: Extracting #3: cost 26 inf + 0 25.442 * * [simplify]: Extracting #4: cost 22 inf + 104 25.443 * * [simplify]: Extracting #5: cost 7 inf + 3466 25.444 * * [simplify]: Extracting #6: cost 0 inf + 5358 25.445 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 25.445 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 25.446 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) 25.446 * * [simplify]: iters left: 4 (7 enodes) 25.448 * * [simplify]: iters left: 3 (21 enodes) 25.451 * * [simplify]: Extracting #0: cost 1 inf + 0 25.451 * * [simplify]: Extracting #1: cost 4 inf + 0 25.451 * * [simplify]: Extracting #2: cost 8 inf + 0 25.451 * * [simplify]: Extracting #3: cost 12 inf + 0 25.451 * * [simplify]: Extracting #4: cost 10 inf + 2 25.451 * * [simplify]: Extracting #5: cost 4 inf + 448 25.451 * * [simplify]: Extracting #6: cost 1 inf + 1032 25.452 * * [simplify]: Extracting #7: cost 0 inf + 1334 25.452 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) 25.452 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 25.452 * * * * [progress]: [ 11 / 614 ] simplifiying candidate # 25.452 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 25.452 * * [simplify]: iters left: 6 (9 enodes) 25.455 * * [simplify]: iters left: 5 (30 enodes) 25.459 * * [simplify]: iters left: 4 (34 enodes) 25.465 * * [simplify]: iters left: 3 (37 enodes) 25.472 * * [simplify]: Extracting #0: cost 1 inf + 0 25.472 * * [simplify]: Extracting #1: cost 7 inf + 0 25.472 * * [simplify]: Extracting #2: cost 15 inf + 0 25.472 * * [simplify]: Extracting #3: cost 20 inf + 0 25.473 * * [simplify]: Extracting #4: cost 14 inf + 386 25.473 * * [simplify]: Extracting #5: cost 4 inf + 2139 25.473 * * [simplify]: Extracting #6: cost 0 inf + 3306 25.473 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 25.473 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 25.474 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt 2))) 25.474 * * [simplify]: iters left: 4 (7 enodes) 25.476 * * [simplify]: iters left: 3 (21 enodes) 25.480 * * [simplify]: Extracting #0: cost 1 inf + 0 25.481 * * [simplify]: Extracting #1: cost 4 inf + 0 25.481 * * [simplify]: Extracting #2: cost 8 inf + 0 25.481 * * [simplify]: Extracting #3: cost 12 inf + 0 25.481 * * [simplify]: Extracting #4: cost 10 inf + 2 25.481 * * [simplify]: Extracting #5: cost 4 inf + 528 25.481 * * [simplify]: Extracting #6: cost 1 inf + 1112 25.481 * * [simplify]: Extracting #7: cost 0 inf + 1414 25.482 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt 2))) 25.482 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 25.482 * * * * [progress]: [ 12 / 614 ] simplifiying candidate # 25.482 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 25.483 * * [simplify]: iters left: 6 (8 enodes) 25.487 * * [simplify]: iters left: 5 (26 enodes) 25.496 * * [simplify]: iters left: 4 (30 enodes) 25.505 * * [simplify]: iters left: 3 (33 enodes) 25.515 * * [simplify]: Extracting #0: cost 1 inf + 0 25.515 * * [simplify]: Extracting #1: cost 7 inf + 0 25.515 * * [simplify]: Extracting #2: cost 14 inf + 0 25.515 * * [simplify]: Extracting #3: cost 18 inf + 0 25.515 * * [simplify]: Extracting #4: cost 15 inf + 43 25.515 * * [simplify]: Extracting #5: cost 11 inf + 307 25.516 * * [simplify]: Extracting #6: cost 2 inf + 2181 25.516 * * [simplify]: Extracting #7: cost 0 inf + 2664 25.517 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 25.517 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.517 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 25.517 * * [simplify]: iters left: 4 (7 enodes) 25.521 * * [simplify]: iters left: 3 (21 enodes) 25.527 * * [simplify]: Extracting #0: cost 1 inf + 0 25.527 * * [simplify]: Extracting #1: cost 4 inf + 0 25.527 * * [simplify]: Extracting #2: cost 8 inf + 0 25.527 * * [simplify]: Extracting #3: cost 12 inf + 0 25.527 * * [simplify]: Extracting #4: cost 10 inf + 2 25.528 * * [simplify]: Extracting #5: cost 4 inf + 368 25.528 * * [simplify]: Extracting #6: cost 1 inf + 912 25.528 * * [simplify]: Extracting #7: cost 0 inf + 1174 25.529 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 25.529 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.529 * * * * [progress]: [ 13 / 614 ] simplifiying candidate # 25.529 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 25.529 * * [simplify]: iters left: 6 (7 enodes) 25.533 * * [simplify]: iters left: 5 (25 enodes) 25.541 * * [simplify]: iters left: 4 (31 enodes) 25.550 * * [simplify]: iters left: 3 (35 enodes) 25.559 * * [simplify]: iters left: 2 (36 enodes) 25.568 * * [simplify]: Extracting #0: cost 1 inf + 0 25.568 * * [simplify]: Extracting #1: cost 5 inf + 0 25.568 * * [simplify]: Extracting #2: cost 7 inf + 1 25.568 * * [simplify]: Extracting #3: cost 9 inf + 1 25.568 * * [simplify]: Extracting #4: cost 8 inf + 2 25.569 * * [simplify]: Extracting #5: cost 1 inf + 951 25.569 * * [simplify]: Extracting #6: cost 0 inf + 1132 25.569 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 25.569 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.570 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 25.570 * * [simplify]: iters left: 4 (6 enodes) 25.573 * * [simplify]: iters left: 3 (18 enodes) 25.579 * * [simplify]: Extracting #0: cost 1 inf + 0 25.579 * * [simplify]: Extracting #1: cost 4 inf + 0 25.579 * * [simplify]: Extracting #2: cost 8 inf + 0 25.579 * * [simplify]: Extracting #3: cost 7 inf + 83 25.579 * * [simplify]: Extracting #4: cost 6 inf + 84 25.579 * * [simplify]: Extracting #5: cost 0 inf + 932 25.579 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 25.580 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.580 * * * * [progress]: [ 14 / 614 ] simplifiying candidate # 25.580 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 25.580 * * [simplify]: iters left: 6 (8 enodes) 25.584 * * [simplify]: iters left: 5 (26 enodes) 25.592 * * [simplify]: iters left: 4 (30 enodes) 25.602 * * [simplify]: iters left: 3 (33 enodes) 25.611 * * [simplify]: Extracting #0: cost 1 inf + 0 25.612 * * [simplify]: Extracting #1: cost 7 inf + 0 25.612 * * [simplify]: Extracting #2: cost 14 inf + 0 25.612 * * [simplify]: Extracting #3: cost 18 inf + 0 25.612 * * [simplify]: Extracting #4: cost 15 inf + 43 25.612 * * [simplify]: Extracting #5: cost 11 inf + 307 25.612 * * [simplify]: Extracting #6: cost 2 inf + 2181 25.613 * * [simplify]: Extracting #7: cost 0 inf + 2664 25.614 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 25.614 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.614 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 25.614 * * [simplify]: iters left: 4 (7 enodes) 25.618 * * [simplify]: iters left: 3 (21 enodes) 25.627 * * [simplify]: Extracting #0: cost 1 inf + 0 25.627 * * [simplify]: Extracting #1: cost 4 inf + 0 25.627 * * [simplify]: Extracting #2: cost 8 inf + 0 25.627 * * [simplify]: Extracting #3: cost 12 inf + 0 25.628 * * [simplify]: Extracting #4: cost 10 inf + 2 25.628 * * [simplify]: Extracting #5: cost 4 inf + 368 25.628 * * [simplify]: Extracting #6: cost 1 inf + 912 25.628 * * [simplify]: Extracting #7: cost 0 inf + 1174 25.629 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 25.629 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.629 * * * * [progress]: [ 15 / 614 ] simplifiying candidate # 25.629 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 25.629 * * [simplify]: iters left: 6 (6 enodes) 25.633 * * [simplify]: iters left: 5 (20 enodes) 25.639 * * [simplify]: iters left: 4 (30 enodes) 25.648 * * [simplify]: iters left: 3 (31 enodes) 25.656 * * [simplify]: Extracting #0: cost 1 inf + 0 25.656 * * [simplify]: Extracting #1: cost 5 inf + 0 25.656 * * [simplify]: Extracting #2: cost 7 inf + 1 25.656 * * [simplify]: Extracting #3: cost 9 inf + 1 25.656 * * [simplify]: Extracting #4: cost 8 inf + 2 25.657 * * [simplify]: Extracting #5: cost 0 inf + 1132 25.657 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 25.657 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.657 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 25.658 * * [simplify]: iters left: 4 (6 enodes) 25.661 * * [simplify]: iters left: 3 (18 enodes) 25.666 * * [simplify]: Extracting #0: cost 1 inf + 0 25.666 * * [simplify]: Extracting #1: cost 4 inf + 0 25.666 * * [simplify]: Extracting #2: cost 8 inf + 0 25.666 * * [simplify]: Extracting #3: cost 7 inf + 83 25.666 * * [simplify]: Extracting #4: cost 6 inf + 84 25.666 * * [simplify]: Extracting #5: cost 0 inf + 932 25.667 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 25.667 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.667 * * * * [progress]: [ 16 / 614 ] simplifiying candidate # 25.667 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 25.667 * * [simplify]: iters left: 6 (8 enodes) 25.671 * * [simplify]: iters left: 5 (26 enodes) 25.679 * * [simplify]: iters left: 4 (28 enodes) 25.687 * * [simplify]: Extracting #0: cost 1 inf + 0 25.687 * * [simplify]: Extracting #1: cost 6 inf + 0 25.688 * * [simplify]: Extracting #2: cost 12 inf + 0 25.688 * * [simplify]: Extracting #3: cost 16 inf + 0 25.688 * * [simplify]: Extracting #4: cost 14 inf + 2 25.688 * * [simplify]: Extracting #5: cost 10 inf + 266 25.688 * * [simplify]: Extracting #6: cost 1 inf + 1798 25.689 * * [simplify]: Extracting #7: cost 0 inf + 2100 25.689 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 25.689 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 25.690 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) 25.690 * * [simplify]: iters left: 4 (7 enodes) 25.694 * * [simplify]: iters left: 3 (21 enodes) 25.700 * * [simplify]: Extracting #0: cost 1 inf + 0 25.700 * * [simplify]: Extracting #1: cost 4 inf + 0 25.700 * * [simplify]: Extracting #2: cost 8 inf + 0 25.700 * * [simplify]: Extracting #3: cost 12 inf + 0 25.700 * * [simplify]: Extracting #4: cost 10 inf + 2 25.700 * * [simplify]: Extracting #5: cost 4 inf + 448 25.700 * * [simplify]: Extracting #6: cost 1 inf + 912 25.701 * * [simplify]: Extracting #7: cost 0 inf + 1174 25.701 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 25.701 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 25.701 * * * * [progress]: [ 17 / 614 ] simplifiying candidate # 25.702 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 25.702 * * [simplify]: iters left: 6 (8 enodes) 25.706 * * [simplify]: iters left: 5 (25 enodes) 25.713 * * [simplify]: Extracting #0: cost 1 inf + 0 25.713 * * [simplify]: Extracting #1: cost 4 inf + 0 25.713 * * [simplify]: Extracting #2: cost 9 inf + 0 25.713 * * [simplify]: Extracting #3: cost 14 inf + 0 25.713 * * [simplify]: Extracting #4: cost 12 inf + 2 25.714 * * [simplify]: Extracting #5: cost 6 inf + 528 25.714 * * [simplify]: Extracting #6: cost 1 inf + 1234 25.714 * * [simplify]: Extracting #7: cost 0 inf + 1496 25.715 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 25.715 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 25.715 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt 2))) 25.715 * * [simplify]: iters left: 4 (7 enodes) 25.719 * * [simplify]: iters left: 3 (21 enodes) 25.725 * * [simplify]: Extracting #0: cost 1 inf + 0 25.725 * * [simplify]: Extracting #1: cost 4 inf + 0 25.725 * * [simplify]: Extracting #2: cost 8 inf + 0 25.725 * * [simplify]: Extracting #3: cost 12 inf + 0 25.725 * * [simplify]: Extracting #4: cost 10 inf + 2 25.726 * * [simplify]: Extracting #5: cost 4 inf + 528 25.726 * * [simplify]: Extracting #6: cost 1 inf + 992 25.726 * * [simplify]: Extracting #7: cost 0 inf + 1254 25.726 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt 2))) 25.727 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 25.727 * * * * [progress]: [ 18 / 614 ] simplifiying candidate # 25.727 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.727 * * [simplify]: iters left: 4 (7 enodes) 25.731 * * [simplify]: iters left: 3 (21 enodes) 25.737 * * [simplify]: Extracting #0: cost 1 inf + 0 25.737 * * [simplify]: Extracting #1: cost 4 inf + 0 25.737 * * [simplify]: Extracting #2: cost 8 inf + 0 25.737 * * [simplify]: Extracting #3: cost 12 inf + 0 25.737 * * [simplify]: Extracting #4: cost 10 inf + 2 25.738 * * [simplify]: Extracting #5: cost 4 inf + 368 25.738 * * [simplify]: Extracting #6: cost 1 inf + 792 25.738 * * [simplify]: Extracting #7: cost 0 inf + 1014 25.738 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.738 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.739 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.739 * * [simplify]: iters left: 4 (7 enodes) 25.743 * * [simplify]: iters left: 3 (21 enodes) 25.749 * * [simplify]: Extracting #0: cost 1 inf + 0 25.749 * * [simplify]: Extracting #1: cost 4 inf + 0 25.749 * * [simplify]: Extracting #2: cost 8 inf + 0 25.749 * * [simplify]: Extracting #3: cost 12 inf + 0 25.750 * * [simplify]: Extracting #4: cost 10 inf + 2 25.750 * * [simplify]: Extracting #5: cost 4 inf + 368 25.750 * * [simplify]: Extracting #6: cost 1 inf + 792 25.750 * * [simplify]: Extracting #7: cost 0 inf + 1014 25.751 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.751 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.751 * * * * [progress]: [ 19 / 614 ] simplifiying candidate # 25.751 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 25.751 * * [simplify]: iters left: 4 (6 enodes) 25.756 * * [simplify]: iters left: 3 (20 enodes) 25.762 * * [simplify]: iters left: 2 (22 enodes) 25.768 * * [simplify]: iters left: 1 (24 enodes) 25.774 * * [simplify]: Extracting #0: cost 1 inf + 0 25.774 * * [simplify]: Extracting #1: cost 4 inf + 0 25.774 * * [simplify]: Extracting #2: cost 5 inf + 1 25.774 * * [simplify]: Extracting #3: cost 4 inf + 2 25.774 * * [simplify]: Extracting #4: cost 0 inf + 326 25.774 * [simplify]: Simplified to (sqrt (cos th)) 25.774 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.775 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 25.775 * * [simplify]: iters left: 4 (6 enodes) 25.781 * * [simplify]: iters left: 3 (18 enodes) 25.787 * * [simplify]: Extracting #0: cost 1 inf + 0 25.787 * * [simplify]: Extracting #1: cost 4 inf + 0 25.787 * * [simplify]: Extracting #2: cost 8 inf + 0 25.787 * * [simplify]: Extracting #3: cost 7 inf + 83 25.787 * * [simplify]: Extracting #4: cost 6 inf + 84 25.787 * * [simplify]: Extracting #5: cost 0 inf + 772 25.787 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 25.788 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.788 * * * * [progress]: [ 20 / 614 ] simplifiying candidate # 25.788 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.788 * * [simplify]: iters left: 4 (7 enodes) 25.792 * * [simplify]: iters left: 3 (21 enodes) 25.798 * * [simplify]: Extracting #0: cost 1 inf + 0 25.798 * * [simplify]: Extracting #1: cost 4 inf + 0 25.798 * * [simplify]: Extracting #2: cost 8 inf + 0 25.798 * * [simplify]: Extracting #3: cost 12 inf + 0 25.798 * * [simplify]: Extracting #4: cost 10 inf + 2 25.798 * * [simplify]: Extracting #5: cost 4 inf + 368 25.799 * * [simplify]: Extracting #6: cost 1 inf + 792 25.799 * * [simplify]: Extracting #7: cost 0 inf + 1014 25.799 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.799 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.800 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.800 * * [simplify]: iters left: 4 (7 enodes) 25.803 * * [simplify]: iters left: 3 (21 enodes) 25.806 * * [simplify]: Extracting #0: cost 1 inf + 0 25.806 * * [simplify]: Extracting #1: cost 4 inf + 0 25.806 * * [simplify]: Extracting #2: cost 8 inf + 0 25.806 * * [simplify]: Extracting #3: cost 12 inf + 0 25.806 * * [simplify]: Extracting #4: cost 10 inf + 2 25.806 * * [simplify]: Extracting #5: cost 4 inf + 368 25.806 * * [simplify]: Extracting #6: cost 1 inf + 792 25.806 * * [simplify]: Extracting #7: cost 0 inf + 1014 25.806 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 25.806 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 25.807 * * * * [progress]: [ 21 / 614 ] simplifiying candidate # 25.807 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 25.807 * * [simplify]: iters left: 4 (5 enodes) 25.808 * * [simplify]: iters left: 3 (15 enodes) 25.811 * * [simplify]: iters left: 2 (17 enodes) 25.813 * * [simplify]: Extracting #0: cost 1 inf + 0 25.813 * * [simplify]: Extracting #1: cost 4 inf + 0 25.813 * * [simplify]: Extracting #2: cost 5 inf + 1 25.813 * * [simplify]: Extracting #3: cost 4 inf + 2 25.814 * * [simplify]: Extracting #4: cost 1 inf + 225 25.814 * * [simplify]: Extracting #5: cost 0 inf + 326 25.814 * [simplify]: Simplified to (sqrt (cos th)) 25.814 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.814 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 25.814 * * [simplify]: iters left: 4 (6 enodes) 25.816 * * [simplify]: iters left: 3 (18 enodes) 25.818 * * [simplify]: Extracting #0: cost 1 inf + 0 25.818 * * [simplify]: Extracting #1: cost 4 inf + 0 25.818 * * [simplify]: Extracting #2: cost 8 inf + 0 25.818 * * [simplify]: Extracting #3: cost 7 inf + 83 25.819 * * [simplify]: Extracting #4: cost 6 inf + 84 25.819 * * [simplify]: Extracting #5: cost 0 inf + 772 25.819 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 25.819 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 25.819 * * * * [progress]: [ 22 / 614 ] simplifiying candidate # 25.819 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 25.819 * * [simplify]: iters left: 6 (6 enodes) 25.821 * * [simplify]: iters left: 5 (22 enodes) 25.825 * * [simplify]: iters left: 4 (26 enodes) 25.829 * * [simplify]: Extracting #0: cost 1 inf + 0 25.829 * * [simplify]: Extracting #1: cost 6 inf + 0 25.830 * * [simplify]: Extracting #2: cost 9 inf + 1 25.830 * * [simplify]: Extracting #3: cost 11 inf + 1 25.830 * * [simplify]: Extracting #4: cost 8 inf + 84 25.830 * * [simplify]: Extracting #5: cost 2 inf + 1013 25.830 * * [simplify]: Extracting #6: cost 0 inf + 1376 25.830 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 25.830 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 25.830 * [simplify]: Simplifying (/ (cos th) (cbrt (sqrt 2))) 25.830 * * [simplify]: iters left: 4 (6 enodes) 25.832 * * [simplify]: iters left: 3 (18 enodes) 25.836 * * [simplify]: Extracting #0: cost 1 inf + 0 25.836 * * [simplify]: Extracting #1: cost 4 inf + 0 25.836 * * [simplify]: Extracting #2: cost 8 inf + 0 25.836 * * [simplify]: Extracting #3: cost 9 inf + 1 25.837 * * [simplify]: Extracting #4: cost 0 inf + 892 25.837 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 25.837 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 25.837 * * * * [progress]: [ 23 / 614 ] simplifiying candidate # 25.837 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 25.838 * * [simplify]: iters left: 6 (6 enodes) 25.841 * * [simplify]: iters left: 5 (21 enodes) 25.848 * * [simplify]: iters left: 4 (23 enodes) 25.855 * * [simplify]: Extracting #0: cost 1 inf + 0 25.855 * * [simplify]: Extracting #1: cost 4 inf + 0 25.855 * * [simplify]: Extracting #2: cost 6 inf + 1 25.855 * * [simplify]: Extracting #3: cost 9 inf + 1 25.855 * * [simplify]: Extracting #4: cost 8 inf + 2 25.856 * * [simplify]: Extracting #5: cost 1 inf + 810 25.856 * * [simplify]: Extracting #6: cost 0 inf + 972 25.856 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 25.856 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 25.857 * [simplify]: Simplifying (/ (cos th) (sqrt (cbrt 2))) 25.857 * * [simplify]: iters left: 4 (6 enodes) 25.860 * * [simplify]: iters left: 3 (18 enodes) 25.866 * * [simplify]: Extracting #0: cost 1 inf + 0 25.866 * * [simplify]: Extracting #1: cost 4 inf + 0 25.866 * * [simplify]: Extracting #2: cost 8 inf + 0 25.866 * * [simplify]: Extracting #3: cost 9 inf + 1 25.866 * * [simplify]: Extracting #4: cost 0 inf + 972 25.867 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt 2))) 25.867 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 25.867 * * * * [progress]: [ 24 / 614 ] simplifiying candidate # 25.867 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 25.867 * * [simplify]: iters left: 4 (5 enodes) 25.870 * * [simplify]: iters left: 3 (17 enodes) 25.876 * * [simplify]: iters left: 2 (19 enodes) 25.882 * * [simplify]: Extracting #0: cost 1 inf + 0 25.882 * * [simplify]: Extracting #1: cost 4 inf + 0 25.882 * * [simplify]: Extracting #2: cost 5 inf + 1 25.882 * * [simplify]: Extracting #3: cost 7 inf + 1 25.882 * * [simplify]: Extracting #4: cost 0 inf + 490 25.883 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 25.883 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 25.883 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 25.883 * * [simplify]: iters left: 4 (6 enodes) 25.886 * * [simplify]: iters left: 3 (18 enodes) 25.892 * * [simplify]: Extracting #0: cost 1 inf + 0 25.892 * * [simplify]: Extracting #1: cost 4 inf + 0 25.892 * * [simplify]: Extracting #2: cost 8 inf + 0 25.892 * * [simplify]: Extracting #3: cost 9 inf + 1 25.892 * * [simplify]: Extracting #4: cost 0 inf + 732 25.892 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 25.892 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 25.892 * * * * [progress]: [ 25 / 614 ] simplifiying candidate # 25.893 * [simplify]: Simplifying (/ 1 (sqrt 1)) 25.893 * * [simplify]: iters left: 3 (3 enodes) 25.896 * * [simplify]: iters left: 2 (11 enodes) 25.898 * * [simplify]: iters left: 1 (13 enodes) 25.902 * * [simplify]: Extracting #0: cost 1 inf + 0 25.902 * * [simplify]: Extracting #1: cost 0 inf + 1 25.902 * [simplify]: Simplified to 1 25.902 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 25.902 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 25.903 * * [simplify]: iters left: 3 (5 enodes) 25.904 * * [simplify]: iters left: 2 (15 enodes) 25.907 * * [simplify]: Extracting #0: cost 1 inf + 0 25.907 * * [simplify]: Extracting #1: cost 4 inf + 0 25.907 * * [simplify]: Extracting #2: cost 8 inf + 0 25.907 * * [simplify]: Extracting #3: cost 4 inf + 84 25.907 * * [simplify]: Extracting #4: cost 0 inf + 490 25.907 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 25.907 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 25.907 * * * * [progress]: [ 26 / 614 ] simplifiying candidate # 25.907 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 25.907 * * [simplify]: iters left: 4 (5 enodes) 25.909 * * [simplify]: iters left: 3 (17 enodes) 25.912 * * [simplify]: iters left: 2 (19 enodes) 25.916 * * [simplify]: Extracting #0: cost 1 inf + 0 25.916 * * [simplify]: Extracting #1: cost 4 inf + 0 25.916 * * [simplify]: Extracting #2: cost 5 inf + 1 25.916 * * [simplify]: Extracting #3: cost 7 inf + 1 25.916 * * [simplify]: Extracting #4: cost 0 inf + 490 25.916 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 25.916 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 25.916 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 25.916 * * [simplify]: iters left: 4 (6 enodes) 25.918 * * [simplify]: iters left: 3 (18 enodes) 25.921 * * [simplify]: Extracting #0: cost 1 inf + 0 25.921 * * [simplify]: Extracting #1: cost 4 inf + 0 25.921 * * [simplify]: Extracting #2: cost 8 inf + 0 25.921 * * [simplify]: Extracting #3: cost 9 inf + 1 25.921 * * [simplify]: Extracting #4: cost 0 inf + 732 25.921 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 25.921 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 25.921 * * * * [progress]: [ 27 / 614 ] simplifiying candidate # 25.921 * [simplify]: Simplifying (/ 1 1) 25.921 * * [simplify]: iters left: 2 (2 enodes) 25.922 * * [simplify]: iters left: 1 (6 enodes) 25.923 * * [simplify]: Extracting #0: cost 1 inf + 0 25.923 * * [simplify]: Extracting #1: cost 0 inf + 1 25.923 * [simplify]: Simplified to 1 25.923 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 25.924 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 25.924 * * [simplify]: iters left: 3 (5 enodes) 25.925 * * [simplify]: iters left: 2 (15 enodes) 25.930 * * [simplify]: Extracting #0: cost 1 inf + 0 25.930 * * [simplify]: Extracting #1: cost 4 inf + 0 25.930 * * [simplify]: Extracting #2: cost 8 inf + 0 25.930 * * [simplify]: Extracting #3: cost 4 inf + 84 25.930 * * [simplify]: Extracting #4: cost 0 inf + 490 25.930 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 25.930 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 25.931 * * * * [progress]: [ 28 / 614 ] simplifiying candidate # 25.931 * * * * [progress]: [ 29 / 614 ] simplifiying candidate # 25.931 * * * * [progress]: [ 30 / 614 ] simplifiying candidate # 25.931 * * * * [progress]: [ 31 / 614 ] simplifiying candidate # 25.931 * [simplify]: Simplifying (cbrt (sqrt 2)) 25.931 * * [simplify]: iters left: 2 (3 enodes) 25.933 * * [simplify]: iters left: 1 (9 enodes) 25.936 * * [simplify]: Extracting #0: cost 1 inf + 0 25.936 * * [simplify]: Extracting #1: cost 3 inf + 0 25.936 * * [simplify]: Extracting #2: cost 5 inf + 0 25.936 * * [simplify]: Extracting #3: cost 4 inf + 1 25.937 * * [simplify]: Extracting #4: cost 0 inf + 325 25.937 * [simplify]: Simplified to (cbrt (sqrt 2)) 25.937 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2)))) 25.937 * * * * [progress]: [ 32 / 614 ] simplifiying candidate # 25.937 * [simplify]: Simplifying (sqrt (cbrt 2)) 25.937 * * [simplify]: iters left: 2 (3 enodes) 25.939 * * [simplify]: iters left: 1 (9 enodes) 25.942 * * [simplify]: Extracting #0: cost 1 inf + 0 25.943 * * [simplify]: Extracting #1: cost 3 inf + 0 25.943 * * [simplify]: Extracting #2: cost 5 inf + 0 25.943 * * [simplify]: Extracting #3: cost 4 inf + 1 25.943 * * [simplify]: Extracting #4: cost 0 inf + 405 25.943 * [simplify]: Simplified to (sqrt (cbrt 2)) 25.943 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (* a2 a2)))) 25.943 * * * * [progress]: [ 33 / 614 ] simplifiying candidate # 25.943 * [simplify]: Simplifying (sqrt (sqrt 2)) 25.943 * * [simplify]: iters left: 2 (3 enodes) 25.945 * * [simplify]: iters left: 1 (9 enodes) 25.949 * * [simplify]: Extracting #0: cost 1 inf + 0 25.949 * * [simplify]: Extracting #1: cost 3 inf + 0 25.949 * * [simplify]: Extracting #2: cost 5 inf + 0 25.949 * * [simplify]: Extracting #3: cost 4 inf + 1 25.949 * * [simplify]: Extracting #4: cost 0 inf + 245 25.949 * [simplify]: Simplified to (sqrt (sqrt 2)) 25.949 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 25.949 * * * * [progress]: [ 34 / 614 ] simplifiying candidate # 25.950 * [simplify]: Simplifying (sqrt 2) 25.950 * * [simplify]: iters left: 1 (2 enodes) 25.951 * * [simplify]: Extracting #0: cost 1 inf + 0 25.951 * * [simplify]: Extracting #1: cost 3 inf + 0 25.951 * * [simplify]: Extracting #2: cost 2 inf + 1 25.951 * * [simplify]: Extracting #3: cost 0 inf + 83 25.951 * [simplify]: Simplified to (sqrt 2) 25.951 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) (sqrt 1)) (sqrt 2)) (* a2 a2)))) 25.952 * * * * [progress]: [ 35 / 614 ] simplifiying candidate # 25.952 * [simplify]: Simplifying (sqrt (sqrt 2)) 25.952 * * [simplify]: iters left: 2 (3 enodes) 25.954 * * [simplify]: iters left: 1 (9 enodes) 25.957 * * [simplify]: Extracting #0: cost 1 inf + 0 25.957 * * [simplify]: Extracting #1: cost 3 inf + 0 25.957 * * [simplify]: Extracting #2: cost 5 inf + 0 25.957 * * [simplify]: Extracting #3: cost 4 inf + 1 25.958 * * [simplify]: Extracting #4: cost 0 inf + 245 25.958 * [simplify]: Simplified to (sqrt (sqrt 2)) 25.958 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 25.958 * * * * [progress]: [ 36 / 614 ] simplifiying candidate # 25.958 * [simplify]: Simplifying (sqrt 2) 25.958 * * [simplify]: iters left: 1 (2 enodes) 25.960 * * [simplify]: Extracting #0: cost 1 inf + 0 25.960 * * [simplify]: Extracting #1: cost 3 inf + 0 25.960 * * [simplify]: Extracting #2: cost 2 inf + 1 25.960 * * [simplify]: Extracting #3: cost 0 inf + 83 25.960 * [simplify]: Simplified to (sqrt 2) 25.960 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2)))) 25.960 * * * * [progress]: [ 37 / 614 ] simplifiying candidate # 25.960 * [simplify]: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) 25.961 * * [simplify]: iters left: 4 (4 enodes) 25.963 * * [simplify]: iters left: 3 (12 enodes) 25.966 * * [simplify]: Extracting #0: cost 1 inf + 0 25.966 * * [simplify]: Extracting #1: cost 3 inf + 0 25.966 * * [simplify]: Extracting #2: cost 5 inf + 0 25.966 * * [simplify]: Extracting #3: cost 7 inf + 0 25.966 * * [simplify]: Extracting #4: cost 6 inf + 1 25.966 * * [simplify]: Extracting #5: cost 0 inf + 767 25.966 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 25.967 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2)))) 25.967 * * * * [progress]: [ 38 / 614 ] simplifiying candidate # 25.967 * [simplify]: Simplifying (sqrt (cos th)) 25.967 * * [simplify]: iters left: 2 (3 enodes) 25.968 * * [simplify]: iters left: 1 (9 enodes) 25.971 * * [simplify]: Extracting #0: cost 1 inf + 0 25.971 * * [simplify]: Extracting #1: cost 3 inf + 0 25.971 * * [simplify]: Extracting #2: cost 5 inf + 0 25.971 * * [simplify]: Extracting #3: cost 4 inf + 1 25.971 * * [simplify]: Extracting #4: cost 0 inf + 325 25.971 * [simplify]: Simplified to (sqrt (cos th)) 25.971 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2)))) 25.971 * * * * [progress]: [ 39 / 614 ] simplifiying candidate # 25.971 * * * * [progress]: [ 40 / 614 ] simplifiying candidate #real (real->posit16 (/ (cos th) (sqrt 2)))) (* a2 a2))))> 25.971 * * * * [progress]: [ 41 / 614 ] simplifiying candidate # 25.972 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 25.972 * * [simplify]: iters left: 5 (8 enodes) 25.976 * * [simplify]: iters left: 4 (29 enodes) 25.986 * * [simplify]: iters left: 3 (42 enodes) 25.999 * * [simplify]: iters left: 2 (54 enodes) 26.010 * * [simplify]: iters left: 1 (61 enodes) 26.018 * * [simplify]: Extracting #0: cost 1 inf + 0 26.018 * * [simplify]: Extracting #1: cost 16 inf + 0 26.019 * * [simplify]: Extracting #2: cost 28 inf + 1 26.019 * * [simplify]: Extracting #3: cost 19 inf + 473 26.019 * * [simplify]: Extracting #4: cost 4 inf + 2525 26.020 * * [simplify]: Extracting #5: cost 0 inf + 3135 26.020 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 26.020 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 26.020 * * * * [progress]: [ 42 / 614 ] simplifiying candidate # 26.021 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 26.021 * * [simplify]: iters left: 5 (8 enodes) 26.025 * * [simplify]: iters left: 4 (29 enodes) 26.030 * * [simplify]: iters left: 3 (42 enodes) 26.037 * * [simplify]: iters left: 2 (54 enodes) 26.051 * * [simplify]: iters left: 1 (61 enodes) 26.068 * * [simplify]: Extracting #0: cost 1 inf + 0 26.068 * * [simplify]: Extracting #1: cost 16 inf + 0 26.068 * * [simplify]: Extracting #2: cost 28 inf + 1 26.069 * * [simplify]: Extracting #3: cost 19 inf + 473 26.069 * * [simplify]: Extracting #4: cost 4 inf + 2525 26.070 * * [simplify]: Extracting #5: cost 0 inf + 3135 26.072 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 26.072 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 26.072 * * * * [progress]: [ 43 / 614 ] simplifiying candidate # 26.072 * * * * [progress]: [ 44 / 614 ] simplifiying candidate # 26.072 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (+ (log a2) (log a2))) 26.072 * * [simplify]: iters left: 6 (11 enodes) 26.079 * * [simplify]: iters left: 5 (40 enodes) 26.091 * * [simplify]: iters left: 4 (63 enodes) 26.111 * * [simplify]: iters left: 3 (102 enodes) 26.146 * * [simplify]: iters left: 2 (144 enodes) 26.178 * * [simplify]: iters left: 1 (166 enodes) 26.204 * * [simplify]: Extracting #0: cost 1 inf + 0 26.204 * * [simplify]: Extracting #1: cost 29 inf + 0 26.204 * * [simplify]: Extracting #2: cost 53 inf + 0 26.204 * * [simplify]: Extracting #3: cost 53 inf + 254 26.205 * * [simplify]: Extracting #4: cost 35 inf + 2686 26.206 * * [simplify]: Extracting #5: cost 8 inf + 10161 26.208 * * [simplify]: Extracting #6: cost 0 inf + 13132 26.210 * [simplify]: Simplified to (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2)))) 26.210 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (exp (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2))))))) 26.210 * * * * [progress]: [ 45 / 614 ] simplifiying candidate # 26.211 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) 26.211 * * [simplify]: iters left: 6 (11 enodes) 26.214 * * [simplify]: iters left: 5 (40 enodes) 26.227 * * [simplify]: iters left: 4 (62 enodes) 26.250 * * [simplify]: iters left: 3 (104 enodes) 26.283 * * [simplify]: iters left: 2 (142 enodes) 26.323 * * [simplify]: iters left: 1 (168 enodes) 26.384 * * [simplify]: Extracting #0: cost 1 inf + 0 26.384 * * [simplify]: Extracting #1: cost 29 inf + 0 26.384 * * [simplify]: Extracting #2: cost 54 inf + 0 26.384 * * [simplify]: Extracting #3: cost 56 inf + 153 26.385 * * [simplify]: Extracting #4: cost 36 inf + 2657 26.388 * * [simplify]: Extracting #5: cost 9 inf + 10001 26.392 * * [simplify]: Extracting #6: cost 0 inf + 13214 26.396 * [simplify]: Simplified to (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2)))) 26.397 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (exp (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2))))))) 26.397 * * * * [progress]: [ 46 / 614 ] simplifiying candidate # 26.397 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 26.397 * * [simplify]: iters left: 6 (10 enodes) 26.402 * * [simplify]: iters left: 5 (36 enodes) 26.408 * * [simplify]: iters left: 4 (52 enodes) 26.416 * * [simplify]: iters left: 3 (81 enodes) 26.429 * * [simplify]: iters left: 2 (127 enodes) 26.451 * * [simplify]: iters left: 1 (153 enodes) 26.494 * * [simplify]: Extracting #0: cost 1 inf + 0 26.494 * * [simplify]: Extracting #1: cost 21 inf + 0 26.494 * * [simplify]: Extracting #2: cost 41 inf + 0 26.495 * * [simplify]: Extracting #3: cost 40 inf + 556 26.495 * * [simplify]: Extracting #4: cost 33 inf + 993 26.496 * * [simplify]: Extracting #5: cost 18 inf + 4050 26.500 * * [simplify]: Extracting #6: cost 1 inf + 8354 26.503 * * [simplify]: Extracting #7: cost 0 inf + 8546 26.506 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 26.506 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))))) 26.506 * * * * [progress]: [ 47 / 614 ] simplifiying candidate # 26.507 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 26.507 * * [simplify]: iters left: 6 (10 enodes) 26.512 * * [simplify]: iters left: 5 (36 enodes) 26.523 * * [simplify]: iters left: 4 (52 enodes) 26.532 * * [simplify]: iters left: 3 (81 enodes) 26.545 * * [simplify]: iters left: 2 (117 enodes) 26.563 * * [simplify]: iters left: 1 (150 enodes) 26.589 * * [simplify]: Extracting #0: cost 1 inf + 0 26.589 * * [simplify]: Extracting #1: cost 22 inf + 0 26.589 * * [simplify]: Extracting #2: cost 42 inf + 0 26.589 * * [simplify]: Extracting #3: cost 41 inf + 517 26.590 * * [simplify]: Extracting #4: cost 25 inf + 2678 26.591 * * [simplify]: Extracting #5: cost 6 inf + 6895 26.593 * * [simplify]: Extracting #6: cost 0 inf + 8628 26.595 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 26.595 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2)))))) 26.596 * * * * [progress]: [ 48 / 614 ] simplifiying candidate # 26.596 * * * * [progress]: [ 49 / 614 ] simplifiying candidate # 26.596 * * * * [progress]: [ 50 / 614 ] simplifiying candidate # 26.596 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 26.596 * * [simplify]: iters left: 6 (14 enodes) 26.604 * * [simplify]: iters left: 5 (61 enodes) 26.629 * * [simplify]: iters left: 4 (181 enodes) 26.732 * * [simplify]: Extracting #0: cost 1 inf + 0 26.733 * * [simplify]: Extracting #1: cost 76 inf + 0 26.733 * * [simplify]: Extracting #2: cost 235 inf + 124 26.736 * * [simplify]: Extracting #3: cost 165 inf + 14368 26.749 * * [simplify]: Extracting #4: cost 20 inf + 49845 26.761 * * [simplify]: Extracting #5: cost 0 inf + 55540 26.773 * * [simplify]: Extracting #6: cost 0 inf + 55500 26.785 * [simplify]: Simplified to (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2)) 26.785 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2))))) 26.786 * * * * [progress]: [ 51 / 614 ] simplifiying candidate # 26.786 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 26.786 * * [simplify]: iters left: 6 (14 enodes) 26.790 * * [simplify]: iters left: 5 (62 enodes) 26.803 * * [simplify]: iters left: 4 (174 enodes) 26.880 * * [simplify]: Extracting #0: cost 1 inf + 0 26.880 * * [simplify]: Extracting #1: cost 74 inf + 0 26.881 * * [simplify]: Extracting #2: cost 223 inf + 978 26.888 * * [simplify]: Extracting #3: cost 117 inf + 23061 26.898 * * [simplify]: Extracting #4: cost 7 inf + 51587 26.910 * * [simplify]: Extracting #5: cost 0 inf + 53337 26.921 * * [simplify]: Extracting #6: cost 0 inf + 53297 26.933 * [simplify]: Simplified to (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2))) 26.933 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2)))))) 26.933 * * * * [progress]: [ 52 / 614 ] simplifiying candidate # 26.933 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 26.933 * * [simplify]: iters left: 6 (12 enodes) 26.937 * * [simplify]: iters left: 5 (55 enodes) 26.955 * * [simplify]: iters left: 4 (146 enodes) 27.016 * * [simplify]: iters left: 3 (466 enodes) 27.454 * * [simplify]: Extracting #0: cost 1 inf + 0 27.454 * * [simplify]: Extracting #1: cost 112 inf + 0 27.456 * * [simplify]: Extracting #2: cost 333 inf + 165 27.461 * * [simplify]: Extracting #3: cost 235 inf + 23822 27.492 * * [simplify]: Extracting #4: cost 37 inf + 81592 27.528 * * [simplify]: Extracting #5: cost 0 inf + 95859 27.559 * [simplify]: Simplified to (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))))) 27.559 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2)))))))) 27.560 * * * * [progress]: [ 53 / 614 ] simplifiying candidate # 27.560 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 27.560 * * [simplify]: iters left: 6 (12 enodes) 27.564 * * [simplify]: iters left: 5 (56 enodes) 27.575 * * [simplify]: iters left: 4 (149 enodes) 27.634 * * [simplify]: iters left: 3 (484 enodes) 28.095 * * [simplify]: Extracting #0: cost 1 inf + 0 28.096 * * [simplify]: Extracting #1: cost 116 inf + 0 28.097 * * [simplify]: Extracting #2: cost 379 inf + 167 28.104 * * [simplify]: Extracting #3: cost 262 inf + 31859 28.128 * * [simplify]: Extracting #4: cost 24 inf + 104764 28.169 * * [simplify]: Extracting #5: cost 0 inf + 112531 28.204 * [simplify]: Simplified to (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) 28.204 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2))))))) 28.204 * * * * [progress]: [ 54 / 614 ] simplifiying candidate # 28.205 * * * * [progress]: [ 55 / 614 ] simplifiying candidate # 28.205 * * * * [progress]: [ 56 / 614 ] simplifiying candidate # 28.205 * * * * [progress]: [ 57 / 614 ] simplifiying candidate # 28.205 * * * * [progress]: [ 58 / 614 ] simplifiying candidate # 28.205 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 28.205 * * [simplify]: iters left: 6 (8 enodes) 28.207 * * [simplify]: iters left: 5 (25 enodes) 28.211 * * [simplify]: Extracting #0: cost 1 inf + 0 28.211 * * [simplify]: Extracting #1: cost 4 inf + 0 28.211 * * [simplify]: Extracting #2: cost 5 inf + 1 28.211 * * [simplify]: Extracting #3: cost 8 inf + 1 28.211 * * [simplify]: Extracting #4: cost 12 inf + 1 28.211 * * [simplify]: Extracting #5: cost 9 inf + 44 28.211 * * [simplify]: Extracting #6: cost 7 inf + 146 28.211 * * [simplify]: Extracting #7: cost 2 inf + 896 28.212 * * [simplify]: Extracting #8: cost 0 inf + 1301 28.212 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 28.212 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 28.212 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 28.212 * * [simplify]: iters left: 6 (8 enodes) 28.214 * * [simplify]: iters left: 5 (25 enodes) 28.218 * * [simplify]: Extracting #0: cost 1 inf + 0 28.218 * * [simplify]: Extracting #1: cost 4 inf + 0 28.218 * * [simplify]: Extracting #2: cost 5 inf + 1 28.218 * * [simplify]: Extracting #3: cost 8 inf + 1 28.218 * * [simplify]: Extracting #4: cost 12 inf + 1 28.218 * * [simplify]: Extracting #5: cost 9 inf + 44 28.218 * * [simplify]: Extracting #6: cost 7 inf + 146 28.218 * * [simplify]: Extracting #7: cost 2 inf + 896 28.218 * * [simplify]: Extracting #8: cost 0 inf + 1301 28.219 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 28.219 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 28.219 * * * * [progress]: [ 59 / 614 ] simplifiying candidate # 28.219 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 28.219 * * [simplify]: iters left: 6 (9 enodes) 28.221 * * [simplify]: iters left: 5 (30 enodes) 28.227 * * [simplify]: iters left: 4 (36 enodes) 28.232 * * [simplify]: iters left: 3 (38 enodes) 28.238 * * [simplify]: Extracting #0: cost 1 inf + 0 28.238 * * [simplify]: Extracting #1: cost 8 inf + 0 28.238 * * [simplify]: Extracting #2: cost 14 inf + 1 28.238 * * [simplify]: Extracting #3: cost 18 inf + 1 28.238 * * [simplify]: Extracting #4: cost 14 inf + 125 28.238 * * [simplify]: Extracting #5: cost 8 inf + 713 28.238 * * [simplify]: Extracting #6: cost 1 inf + 1847 28.239 * * [simplify]: Extracting #7: cost 0 inf + 2069 28.239 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 28.239 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 28.239 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 28.239 * * [simplify]: iters left: 6 (9 enodes) 28.242 * * [simplify]: iters left: 5 (30 enodes) 28.247 * * [simplify]: iters left: 4 (36 enodes) 28.252 * * [simplify]: iters left: 3 (38 enodes) 28.257 * * [simplify]: Extracting #0: cost 1 inf + 0 28.257 * * [simplify]: Extracting #1: cost 8 inf + 0 28.257 * * [simplify]: Extracting #2: cost 14 inf + 1 28.257 * * [simplify]: Extracting #3: cost 18 inf + 1 28.258 * * [simplify]: Extracting #4: cost 14 inf + 125 28.258 * * [simplify]: Extracting #5: cost 8 inf + 713 28.258 * * [simplify]: Extracting #6: cost 1 inf + 1847 28.259 * * [simplify]: Extracting #7: cost 0 inf + 2069 28.260 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 28.260 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 28.260 * * * * [progress]: [ 60 / 614 ] simplifiying candidate # 28.260 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 28.260 * * [simplify]: iters left: 6 (9 enodes) 28.265 * * [simplify]: iters left: 5 (30 enodes) 28.274 * * [simplify]: iters left: 4 (36 enodes) 28.284 * * [simplify]: iters left: 3 (38 enodes) 28.294 * * [simplify]: Extracting #0: cost 1 inf + 0 28.295 * * [simplify]: Extracting #1: cost 8 inf + 0 28.295 * * [simplify]: Extracting #2: cost 14 inf + 1 28.295 * * [simplify]: Extracting #3: cost 18 inf + 1 28.295 * * [simplify]: Extracting #4: cost 14 inf + 125 28.295 * * [simplify]: Extracting #5: cost 8 inf + 713 28.296 * * [simplify]: Extracting #6: cost 1 inf + 1847 28.296 * * [simplify]: Extracting #7: cost 0 inf + 2069 28.297 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 28.297 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 28.298 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 28.298 * * [simplify]: iters left: 6 (9 enodes) 28.302 * * [simplify]: iters left: 5 (30 enodes) 28.312 * * [simplify]: iters left: 4 (36 enodes) 28.322 * * [simplify]: iters left: 3 (38 enodes) 28.332 * * [simplify]: Extracting #0: cost 1 inf + 0 28.332 * * [simplify]: Extracting #1: cost 8 inf + 0 28.332 * * [simplify]: Extracting #2: cost 14 inf + 1 28.332 * * [simplify]: Extracting #3: cost 18 inf + 1 28.332 * * [simplify]: Extracting #4: cost 14 inf + 125 28.333 * * [simplify]: Extracting #5: cost 8 inf + 713 28.333 * * [simplify]: Extracting #6: cost 1 inf + 1847 28.334 * * [simplify]: Extracting #7: cost 0 inf + 2069 28.335 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 28.335 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 28.335 * * * * [progress]: [ 61 / 614 ] simplifiying candidate # 28.335 * * * * [progress]: [ 62 / 614 ] simplifiying candidate # 28.335 * [simplify]: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 28.335 * * [simplify]: iters left: 6 (7 enodes) 28.339 * * [simplify]: iters left: 5 (21 enodes) 28.346 * * [simplify]: Extracting #0: cost 1 inf + 0 28.346 * * [simplify]: Extracting #1: cost 3 inf + 0 28.346 * * [simplify]: Extracting #2: cost 5 inf + 0 28.346 * * [simplify]: Extracting #3: cost 8 inf + 0 28.346 * * [simplify]: Extracting #4: cost 12 inf + 0 28.346 * * [simplify]: Extracting #5: cost 10 inf + 2 28.346 * * [simplify]: Extracting #6: cost 1 inf + 1196 28.347 * * [simplify]: Extracting #7: cost 0 inf + 1458 28.347 * [simplify]: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 28.347 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 28.347 * * * * [progress]: [ 63 / 614 ] simplifiying candidate # 28.348 * [simplify]: Simplifying (sqrt (/ (cos th) (sqrt 2))) 28.348 * * [simplify]: iters left: 4 (6 enodes) 28.353 * * [simplify]: iters left: 3 (18 enodes) 28.359 * * [simplify]: Extracting #0: cost 1 inf + 0 28.359 * * [simplify]: Extracting #1: cost 3 inf + 0 28.360 * * [simplify]: Extracting #2: cost 6 inf + 0 28.360 * * [simplify]: Extracting #3: cost 10 inf + 0 28.360 * * [simplify]: Extracting #4: cost 6 inf + 84 28.360 * * [simplify]: Extracting #5: cost 0 inf + 854 28.360 * [simplify]: Simplified to (sqrt (/ (cos th) (sqrt 2))) 28.360 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 28.360 * * * * [progress]: [ 64 / 614 ] simplifiying candidate # 28.361 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 28.361 * * [simplify]: iters left: 6 (9 enodes) 28.366 * * [simplify]: iters left: 5 (33 enodes) 28.376 * * [simplify]: iters left: 4 (48 enodes) 28.391 * * [simplify]: iters left: 3 (55 enodes) 28.406 * * [simplify]: iters left: 2 (58 enodes) 28.422 * * [simplify]: Extracting #0: cost 1 inf + 0 28.422 * * [simplify]: Extracting #1: cost 11 inf + 0 28.422 * * [simplify]: Extracting #2: cost 22 inf + 0 28.423 * * [simplify]: Extracting #3: cost 26 inf + 0 28.423 * * [simplify]: Extracting #4: cost 22 inf + 104 28.424 * * [simplify]: Extracting #5: cost 7 inf + 3466 28.425 * * [simplify]: Extracting #6: cost 0 inf + 5358 28.426 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 28.426 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 28.427 * * * * [progress]: [ 65 / 614 ] simplifiying candidate # 28.427 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 28.427 * * [simplify]: iters left: 6 (9 enodes) 28.432 * * [simplify]: iters left: 5 (30 enodes) 28.441 * * [simplify]: iters left: 4 (34 enodes) 28.452 * * [simplify]: iters left: 3 (37 enodes) 28.462 * * [simplify]: Extracting #0: cost 1 inf + 0 28.462 * * [simplify]: Extracting #1: cost 7 inf + 0 28.462 * * [simplify]: Extracting #2: cost 15 inf + 0 28.462 * * [simplify]: Extracting #3: cost 20 inf + 0 28.463 * * [simplify]: Extracting #4: cost 14 inf + 386 28.463 * * [simplify]: Extracting #5: cost 4 inf + 2139 28.464 * * [simplify]: Extracting #6: cost 0 inf + 3306 28.464 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 28.465 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 28.465 * * * * [progress]: [ 66 / 614 ] simplifiying candidate # 28.465 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 28.465 * * [simplify]: iters left: 6 (8 enodes) 28.469 * * [simplify]: iters left: 5 (26 enodes) 28.474 * * [simplify]: iters left: 4 (30 enodes) 28.478 * * [simplify]: iters left: 3 (33 enodes) 28.483 * * [simplify]: Extracting #0: cost 1 inf + 0 28.483 * * [simplify]: Extracting #1: cost 7 inf + 0 28.483 * * [simplify]: Extracting #2: cost 14 inf + 0 28.483 * * [simplify]: Extracting #3: cost 18 inf + 0 28.483 * * [simplify]: Extracting #4: cost 15 inf + 43 28.483 * * [simplify]: Extracting #5: cost 11 inf + 307 28.484 * * [simplify]: Extracting #6: cost 2 inf + 2181 28.484 * * [simplify]: Extracting #7: cost 0 inf + 2664 28.484 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 28.484 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 28.484 * * * * [progress]: [ 67 / 614 ] simplifiying candidate # 28.485 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 28.485 * * [simplify]: iters left: 6 (7 enodes) 28.487 * * [simplify]: iters left: 5 (25 enodes) 28.492 * * [simplify]: iters left: 4 (31 enodes) 28.496 * * [simplify]: iters left: 3 (35 enodes) 28.501 * * [simplify]: iters left: 2 (36 enodes) 28.505 * * [simplify]: Extracting #0: cost 1 inf + 0 28.505 * * [simplify]: Extracting #1: cost 5 inf + 0 28.505 * * [simplify]: Extracting #2: cost 7 inf + 1 28.505 * * [simplify]: Extracting #3: cost 9 inf + 1 28.505 * * [simplify]: Extracting #4: cost 8 inf + 2 28.505 * * [simplify]: Extracting #5: cost 1 inf + 951 28.506 * * [simplify]: Extracting #6: cost 0 inf + 1132 28.506 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 28.506 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 28.506 * * * * [progress]: [ 68 / 614 ] simplifiying candidate # 28.506 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 28.506 * * [simplify]: iters left: 6 (8 enodes) 28.508 * * [simplify]: iters left: 5 (26 enodes) 28.512 * * [simplify]: iters left: 4 (30 enodes) 28.517 * * [simplify]: iters left: 3 (33 enodes) 28.521 * * [simplify]: Extracting #0: cost 1 inf + 0 28.522 * * [simplify]: Extracting #1: cost 7 inf + 0 28.522 * * [simplify]: Extracting #2: cost 14 inf + 0 28.522 * * [simplify]: Extracting #3: cost 18 inf + 0 28.522 * * [simplify]: Extracting #4: cost 15 inf + 43 28.522 * * [simplify]: Extracting #5: cost 11 inf + 307 28.522 * * [simplify]: Extracting #6: cost 2 inf + 2181 28.522 * * [simplify]: Extracting #7: cost 0 inf + 2664 28.523 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 28.523 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 28.523 * * * * [progress]: [ 69 / 614 ] simplifiying candidate # 28.523 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 28.523 * * [simplify]: iters left: 6 (6 enodes) 28.525 * * [simplify]: iters left: 5 (20 enodes) 28.528 * * [simplify]: iters left: 4 (30 enodes) 28.532 * * [simplify]: iters left: 3 (31 enodes) 28.536 * * [simplify]: Extracting #0: cost 1 inf + 0 28.536 * * [simplify]: Extracting #1: cost 5 inf + 0 28.536 * * [simplify]: Extracting #2: cost 7 inf + 1 28.536 * * [simplify]: Extracting #3: cost 9 inf + 1 28.536 * * [simplify]: Extracting #4: cost 8 inf + 2 28.536 * * [simplify]: Extracting #5: cost 0 inf + 1132 28.537 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 28.537 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 28.537 * * * * [progress]: [ 70 / 614 ] simplifiying candidate # 28.537 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 28.537 * * [simplify]: iters left: 6 (8 enodes) 28.539 * * [simplify]: iters left: 5 (26 enodes) 28.543 * * [simplify]: iters left: 4 (28 enodes) 28.547 * * [simplify]: Extracting #0: cost 1 inf + 0 28.547 * * [simplify]: Extracting #1: cost 6 inf + 0 28.547 * * [simplify]: Extracting #2: cost 12 inf + 0 28.547 * * [simplify]: Extracting #3: cost 16 inf + 0 28.547 * * [simplify]: Extracting #4: cost 14 inf + 2 28.547 * * [simplify]: Extracting #5: cost 10 inf + 266 28.548 * * [simplify]: Extracting #6: cost 1 inf + 1798 28.548 * * [simplify]: Extracting #7: cost 0 inf + 2100 28.548 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 28.548 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 28.548 * * * * [progress]: [ 71 / 614 ] simplifiying candidate # 28.548 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 28.548 * * [simplify]: iters left: 6 (8 enodes) 28.550 * * [simplify]: iters left: 5 (25 enodes) 28.554 * * [simplify]: Extracting #0: cost 1 inf + 0 28.554 * * [simplify]: Extracting #1: cost 4 inf + 0 28.554 * * [simplify]: Extracting #2: cost 9 inf + 0 28.555 * * [simplify]: Extracting #3: cost 14 inf + 0 28.555 * * [simplify]: Extracting #4: cost 12 inf + 2 28.555 * * [simplify]: Extracting #5: cost 6 inf + 528 28.555 * * [simplify]: Extracting #6: cost 1 inf + 1234 28.555 * * [simplify]: Extracting #7: cost 0 inf + 1496 28.556 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 28.556 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 28.556 * * * * [progress]: [ 72 / 614 ] simplifiying candidate # 28.556 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 28.557 * * [simplify]: iters left: 4 (7 enodes) 28.560 * * [simplify]: iters left: 3 (21 enodes) 28.566 * * [simplify]: Extracting #0: cost 1 inf + 0 28.566 * * [simplify]: Extracting #1: cost 4 inf + 0 28.566 * * [simplify]: Extracting #2: cost 8 inf + 0 28.567 * * [simplify]: Extracting #3: cost 12 inf + 0 28.567 * * [simplify]: Extracting #4: cost 10 inf + 2 28.567 * * [simplify]: Extracting #5: cost 4 inf + 368 28.567 * * [simplify]: Extracting #6: cost 1 inf + 792 28.567 * * [simplify]: Extracting #7: cost 0 inf + 1014 28.568 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 28.568 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 28.568 * * * * [progress]: [ 73 / 614 ] simplifiying candidate # 28.568 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 28.568 * * [simplify]: iters left: 4 (6 enodes) 28.573 * * [simplify]: iters left: 3 (20 enodes) 28.580 * * [simplify]: iters left: 2 (22 enodes) 28.588 * * [simplify]: iters left: 1 (24 enodes) 28.594 * * [simplify]: Extracting #0: cost 1 inf + 0 28.594 * * [simplify]: Extracting #1: cost 4 inf + 0 28.594 * * [simplify]: Extracting #2: cost 5 inf + 1 28.594 * * [simplify]: Extracting #3: cost 4 inf + 2 28.595 * * [simplify]: Extracting #4: cost 0 inf + 326 28.595 * [simplify]: Simplified to (sqrt (cos th)) 28.595 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 28.595 * * * * [progress]: [ 74 / 614 ] simplifiying candidate # 28.595 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 28.596 * * [simplify]: iters left: 4 (7 enodes) 28.599 * * [simplify]: iters left: 3 (21 enodes) 28.606 * * [simplify]: Extracting #0: cost 1 inf + 0 28.606 * * [simplify]: Extracting #1: cost 4 inf + 0 28.606 * * [simplify]: Extracting #2: cost 8 inf + 0 28.606 * * [simplify]: Extracting #3: cost 12 inf + 0 28.606 * * [simplify]: Extracting #4: cost 10 inf + 2 28.606 * * [simplify]: Extracting #5: cost 4 inf + 368 28.606 * * [simplify]: Extracting #6: cost 1 inf + 792 28.607 * * [simplify]: Extracting #7: cost 0 inf + 1014 28.607 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 28.607 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 28.607 * * * * [progress]: [ 75 / 614 ] simplifiying candidate # 28.608 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 28.608 * * [simplify]: iters left: 4 (5 enodes) 28.610 * * [simplify]: iters left: 3 (15 enodes) 28.615 * * [simplify]: iters left: 2 (17 enodes) 28.620 * * [simplify]: Extracting #0: cost 1 inf + 0 28.620 * * [simplify]: Extracting #1: cost 4 inf + 0 28.620 * * [simplify]: Extracting #2: cost 5 inf + 1 28.620 * * [simplify]: Extracting #3: cost 4 inf + 2 28.620 * * [simplify]: Extracting #4: cost 1 inf + 225 28.621 * * [simplify]: Extracting #5: cost 0 inf + 326 28.621 * [simplify]: Simplified to (sqrt (cos th)) 28.621 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 28.621 * * * * [progress]: [ 76 / 614 ] simplifiying candidate # 28.621 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 28.621 * * [simplify]: iters left: 6 (6 enodes) 28.625 * * [simplify]: iters left: 5 (22 enodes) 28.633 * * [simplify]: iters left: 4 (26 enodes) 28.640 * * [simplify]: Extracting #0: cost 1 inf + 0 28.640 * * [simplify]: Extracting #1: cost 6 inf + 0 28.640 * * [simplify]: Extracting #2: cost 9 inf + 1 28.640 * * [simplify]: Extracting #3: cost 11 inf + 1 28.640 * * [simplify]: Extracting #4: cost 8 inf + 84 28.640 * * [simplify]: Extracting #5: cost 2 inf + 1013 28.640 * * [simplify]: Extracting #6: cost 0 inf + 1376 28.640 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 28.640 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))))) 28.641 * * * * [progress]: [ 77 / 614 ] simplifiying candidate # 28.641 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 28.641 * * [simplify]: iters left: 6 (6 enodes) 28.643 * * [simplify]: iters left: 5 (21 enodes) 28.647 * * [simplify]: iters left: 4 (23 enodes) 28.651 * * [simplify]: Extracting #0: cost 1 inf + 0 28.651 * * [simplify]: Extracting #1: cost 4 inf + 0 28.651 * * [simplify]: Extracting #2: cost 6 inf + 1 28.651 * * [simplify]: Extracting #3: cost 9 inf + 1 28.651 * * [simplify]: Extracting #4: cost 8 inf + 2 28.651 * * [simplify]: Extracting #5: cost 1 inf + 810 28.651 * * [simplify]: Extracting #6: cost 0 inf + 972 28.651 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 28.651 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ 1 (fabs (cbrt 2))) (* (/ (cos th) (sqrt (cbrt 2))) (* a2 a2))))) 28.651 * * * * [progress]: [ 78 / 614 ] simplifiying candidate # 28.652 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 28.652 * * [simplify]: iters left: 4 (5 enodes) 28.653 * * [simplify]: iters left: 3 (17 enodes) 28.656 * * [simplify]: iters left: 2 (19 enodes) 28.659 * * [simplify]: Extracting #0: cost 1 inf + 0 28.660 * * [simplify]: Extracting #1: cost 4 inf + 0 28.660 * * [simplify]: Extracting #2: cost 5 inf + 1 28.660 * * [simplify]: Extracting #3: cost 7 inf + 1 28.660 * * [simplify]: Extracting #4: cost 0 inf + 490 28.660 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 28.660 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 28.660 * * * * [progress]: [ 79 / 614 ] simplifiying candidate # 28.660 * [simplify]: Simplifying (/ 1 (sqrt 1)) 28.660 * * [simplify]: iters left: 3 (3 enodes) 28.664 * * [simplify]: iters left: 2 (11 enodes) 28.666 * * [simplify]: iters left: 1 (13 enodes) 28.667 * * [simplify]: Extracting #0: cost 1 inf + 0 28.668 * * [simplify]: Extracting #1: cost 0 inf + 1 28.668 * [simplify]: Simplified to 1 28.668 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 28.668 * * * * [progress]: [ 80 / 614 ] simplifiying candidate # 28.668 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 28.668 * * [simplify]: iters left: 4 (5 enodes) 28.670 * * [simplify]: iters left: 3 (17 enodes) 28.676 * * [simplify]: iters left: 2 (19 enodes) 28.682 * * [simplify]: Extracting #0: cost 1 inf + 0 28.682 * * [simplify]: Extracting #1: cost 4 inf + 0 28.682 * * [simplify]: Extracting #2: cost 5 inf + 1 28.682 * * [simplify]: Extracting #3: cost 7 inf + 1 28.682 * * [simplify]: Extracting #4: cost 0 inf + 490 28.683 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 28.683 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 28.683 * * * * [progress]: [ 81 / 614 ] simplifiying candidate # 28.683 * [simplify]: Simplifying (/ 1 1) 28.683 * * [simplify]: iters left: 2 (2 enodes) 28.685 * * [simplify]: iters left: 1 (6 enodes) 28.687 * * [simplify]: Extracting #0: cost 1 inf + 0 28.687 * * [simplify]: Extracting #1: cost 0 inf + 1 28.687 * [simplify]: Simplified to 1 28.687 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 28.687 * * * * [progress]: [ 82 / 614 ] simplifiying candidate # 28.687 * * * * [progress]: [ 83 / 614 ] simplifiying candidate # 28.688 * [simplify]: Simplifying (cos th) 28.688 * * [simplify]: iters left: 1 (2 enodes) 28.689 * * [simplify]: Extracting #0: cost 1 inf + 0 28.689 * * [simplify]: Extracting #1: cost 3 inf + 0 28.689 * * [simplify]: Extracting #2: cost 2 inf + 1 28.689 * * [simplify]: Extracting #3: cost 0 inf + 123 28.689 * [simplify]: Simplified to (cos th) 28.689 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2))))) 28.689 * * * * [progress]: [ 84 / 614 ] simplifiying candidate # 28.689 * [simplify]: Simplifying (* (cos th) (* a2 a2)) 28.689 * * [simplify]: iters left: 4 (5 enodes) 28.692 * * [simplify]: iters left: 3 (18 enodes) 28.697 * * [simplify]: iters left: 2 (22 enodes) 28.703 * * [simplify]: Extracting #0: cost 1 inf + 0 28.703 * * [simplify]: Extracting #1: cost 6 inf + 0 28.703 * * [simplify]: Extracting #2: cost 8 inf + 42 28.703 * * [simplify]: Extracting #3: cost 6 inf + 84 28.703 * * [simplify]: Extracting #4: cost 0 inf + 694 28.703 * [simplify]: Simplified to (* (* a2 a2) (cos th)) 28.703 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2)))) 28.704 * * * * [progress]: [ 85 / 614 ] simplifiying candidate #real (real->posit16 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))> 28.704 * * * * [progress]: [ 86 / 614 ] simplifiying candidate # 28.704 * * * * [progress]: [ 87 / 614 ] simplifiying candidate # 28.704 * * * * [progress]: [ 88 / 614 ] simplifiying candidate # 28.704 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (cbrt (sqrt 2))) (log a1))) 28.704 * * [simplify]: iters left: 6 (16 enodes) 28.713 * * [simplify]: iters left: 5 (65 enodes) 28.740 * * [simplify]: iters left: 4 (133 enodes) 28.797 * * [simplify]: iters left: 3 (369 enodes) 29.048 * * [simplify]: Extracting #0: cost 1 inf + 0 29.048 * * [simplify]: Extracting #1: cost 50 inf + 0 29.049 * * [simplify]: Extracting #2: cost 141 inf + 1 29.049 * * [simplify]: Extracting #3: cost 141 inf + 367 29.050 * * [simplify]: Extracting #4: cost 131 inf + 2063 29.051 * * [simplify]: Extracting #5: cost 120 inf + 4243 29.055 * * [simplify]: Extracting #6: cost 114 inf + 5472 29.059 * * [simplify]: Extracting #7: cost 58 inf + 27647 29.069 * * [simplify]: Extracting #8: cost 0 inf + 53257 29.088 * * [simplify]: Extracting #9: cost 0 inf + 53137 29.099 * [simplify]: Simplified to (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cos th)) (- (log a1) (log (cbrt (sqrt 2)))))) 29.099 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cos th)) (- (log a1) (log (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 29.099 * * * * [progress]: [ 89 / 614 ] simplifiying candidate # 29.099 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (cbrt (sqrt 2)) a1))) 29.099 * * [simplify]: iters left: 6 (17 enodes) 29.104 * * [simplify]: iters left: 5 (65 enodes) 29.116 * * [simplify]: iters left: 4 (121 enodes) 29.172 * * [simplify]: iters left: 3 (313 enodes) 29.314 * * [simplify]: Extracting #0: cost 1 inf + 0 29.314 * * [simplify]: Extracting #1: cost 52 inf + 0 29.315 * * [simplify]: Extracting #2: cost 151 inf + 1 29.316 * * [simplify]: Extracting #3: cost 161 inf + 2 29.318 * * [simplify]: Extracting #4: cost 151 inf + 1861 29.319 * * [simplify]: Extracting #5: cost 138 inf + 3940 29.322 * * [simplify]: Extracting #6: cost 129 inf + 5513 29.331 * * [simplify]: Extracting #7: cost 46 inf + 38041 29.350 * * [simplify]: Extracting #8: cost 3 inf + 54989 29.360 * * [simplify]: Extracting #9: cost 0 inf + 56216 29.370 * [simplify]: Simplified to (+ (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cos th))) 29.370 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cos th)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 29.370 * * * * [progress]: [ 90 / 614 ] simplifiying candidate # 29.370 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (cbrt (sqrt 2))) (log a1))) 29.370 * * [simplify]: iters left: 6 (17 enodes) 29.375 * * [simplify]: iters left: 5 (72 enodes) 29.397 * * [simplify]: iters left: 4 (147 enodes) 29.441 * * [simplify]: iters left: 3 (355 enodes) 29.662 * * [simplify]: Extracting #0: cost 1 inf + 0 29.662 * * [simplify]: Extracting #1: cost 51 inf + 0 29.662 * * [simplify]: Extracting #2: cost 123 inf + 1 29.663 * * [simplify]: Extracting #3: cost 124 inf + 144 29.664 * * [simplify]: Extracting #4: cost 114 inf + 1600 29.665 * * [simplify]: Extracting #5: cost 101 inf + 4192 29.677 * * [simplify]: Extracting #6: cost 33 inf + 30319 29.695 * * [simplify]: Extracting #7: cost 0 inf + 45854 29.713 * * [simplify]: Extracting #8: cost 0 inf + 45774 29.728 * * [simplify]: Extracting #9: cost 0 inf + 45734 29.738 * [simplify]: Simplified to (+ (log (cos th)) (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) 29.738 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 29.738 * * * * [progress]: [ 91 / 614 ] simplifiying candidate # 29.738 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (cbrt (sqrt 2)) a1))) 29.738 * * [simplify]: iters left: 6 (18 enodes) 29.744 * * [simplify]: iters left: 5 (72 enodes) 29.759 * * [simplify]: iters left: 4 (121 enodes) 29.801 * * [simplify]: iters left: 3 (272 enodes) 29.929 * * [simplify]: Extracting #0: cost 1 inf + 0 29.929 * * [simplify]: Extracting #1: cost 54 inf + 0 29.930 * * [simplify]: Extracting #2: cost 143 inf + 1 29.930 * * [simplify]: Extracting #3: cost 156 inf + 2 29.931 * * [simplify]: Extracting #4: cost 138 inf + 3001 29.932 * * [simplify]: Extracting #5: cost 126 inf + 5029 29.936 * * [simplify]: Extracting #6: cost 39 inf + 37565 29.953 * * [simplify]: Extracting #7: cost 0 inf + 52965 29.972 * [simplify]: Simplified to (+ (+ (log (cos th)) (- (log a1) (log (cbrt (sqrt 2))))) (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) 29.972 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (log (cos th)) (- (log a1) (log (cbrt (sqrt 2))))) (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 29.972 * * * * [progress]: [ 92 / 614 ] simplifiying candidate # 29.973 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (cbrt (sqrt 2))) (log a1))) 29.973 * * [simplify]: iters left: 6 (17 enodes) 29.982 * * [simplify]: iters left: 5 (66 enodes) 30.008 * * [simplify]: iters left: 4 (138 enodes) 30.073 * * [simplify]: iters left: 3 (326 enodes) 30.360 * * [simplify]: Extracting #0: cost 1 inf + 0 30.360 * * [simplify]: Extracting #1: cost 51 inf + 0 30.361 * * [simplify]: Extracting #2: cost 131 inf + 1 30.363 * * [simplify]: Extracting #3: cost 133 inf + 185 30.364 * * [simplify]: Extracting #4: cost 115 inf + 3255 30.367 * * [simplify]: Extracting #5: cost 104 inf + 5263 30.373 * * [simplify]: Extracting #6: cost 59 inf + 23417 30.392 * * [simplify]: Extracting #7: cost 2 inf + 48283 30.413 * * [simplify]: Extracting #8: cost 0 inf + 48746 30.425 * [simplify]: Simplified to (- (- (log a1) (log (cbrt (sqrt 2)))) (- (- (log (cbrt (sqrt 2))) (log (cos th))) (- (log a1) (log (cbrt (sqrt 2)))))) 30.425 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log a1) (log (cbrt (sqrt 2)))) (- (- (log (cbrt (sqrt 2))) (log (cos th))) (- (log a1) (log (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 30.425 * * * * [progress]: [ 93 / 614 ] simplifiying candidate # 30.426 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (cbrt (sqrt 2)) a1))) 30.426 * * [simplify]: iters left: 6 (17 enodes) 30.430 * * [simplify]: iters left: 5 (64 enodes) 30.445 * * [simplify]: iters left: 4 (125 enodes) 30.499 * * [simplify]: iters left: 3 (299 enodes) 30.628 * * [simplify]: Extracting #0: cost 1 inf + 0 30.628 * * [simplify]: Extracting #1: cost 41 inf + 0 30.629 * * [simplify]: Extracting #2: cost 105 inf + 1 30.629 * * [simplify]: Extracting #3: cost 113 inf + 73 30.630 * * [simplify]: Extracting #4: cost 101 inf + 2125 30.631 * * [simplify]: Extracting #5: cost 87 inf + 4396 30.633 * * [simplify]: Extracting #6: cost 46 inf + 19626 30.640 * * [simplify]: Extracting #7: cost 1 inf + 38765 30.656 * * [simplify]: Extracting #8: cost 0 inf + 39178 30.671 * [simplify]: Simplified to (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1)))) 30.671 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 30.671 * * * * [progress]: [ 94 / 614 ] simplifiying candidate # 30.671 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (cbrt (sqrt 2))) (log a1))) 30.671 * * [simplify]: iters left: 6 (18 enodes) 30.676 * * [simplify]: iters left: 5 (74 enodes) 30.688 * * [simplify]: iters left: 4 (129 enodes) 30.754 * * [simplify]: iters left: 3 (330 enodes) 30.937 * * [simplify]: Extracting #0: cost 1 inf + 0 30.937 * * [simplify]: Extracting #1: cost 57 inf + 0 30.938 * * [simplify]: Extracting #2: cost 137 inf + 1 30.939 * * [simplify]: Extracting #3: cost 140 inf + 185 30.941 * * [simplify]: Extracting #4: cost 123 inf + 2853 30.943 * * [simplify]: Extracting #5: cost 114 inf + 4558 30.945 * * [simplify]: Extracting #6: cost 111 inf + 4761 30.950 * * [simplify]: Extracting #7: cost 69 inf + 21861 30.970 * * [simplify]: Extracting #8: cost 10 inf + 47731 30.991 * * [simplify]: Extracting #9: cost 1 inf + 50698 31.012 * * [simplify]: Extracting #10: cost 0 inf + 50729 31.034 * * [simplify]: Extracting #11: cost 0 inf + 50699 31.055 * [simplify]: Simplified to (+ (log (cos th)) (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) 31.055 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 31.056 * * * * [progress]: [ 95 / 614 ] simplifiying candidate # 31.056 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (cbrt (sqrt 2)) a1))) 31.056 * * [simplify]: iters left: 6 (18 enodes) 31.067 * * [simplify]: iters left: 5 (72 enodes) 31.090 * * [simplify]: iters left: 4 (120 enodes) 31.147 * * [simplify]: iters left: 3 (270 enodes) 31.297 * * [simplify]: Extracting #0: cost 1 inf + 0 31.297 * * [simplify]: Extracting #1: cost 50 inf + 0 31.298 * * [simplify]: Extracting #2: cost 115 inf + 1 31.299 * * [simplify]: Extracting #3: cost 123 inf + 256 31.300 * * [simplify]: Extracting #4: cost 110 inf + 2348 31.302 * * [simplify]: Extracting #5: cost 97 inf + 4436 31.307 * * [simplify]: Extracting #6: cost 56 inf + 19471 31.321 * * [simplify]: Extracting #7: cost 6 inf + 40415 31.341 * * [simplify]: Extracting #8: cost 0 inf + 42631 31.357 * * [simplify]: Extracting #9: cost 0 inf + 42541 31.374 * [simplify]: Simplified to (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1)))) 31.374 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 31.374 * * * * [progress]: [ 96 / 614 ] simplifiying candidate # 31.374 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (cbrt (sqrt 2))) (log a1))) 31.375 * * [simplify]: iters left: 6 (17 enodes) 31.385 * * [simplify]: iters left: 5 (69 enodes) 31.407 * * [simplify]: iters left: 4 (135 enodes) 31.463 * * [simplify]: iters left: 3 (307 enodes) 31.631 * * [simplify]: Extracting #0: cost 1 inf + 0 31.631 * * [simplify]: Extracting #1: cost 52 inf + 0 31.632 * * [simplify]: Extracting #2: cost 113 inf + 1 31.633 * * [simplify]: Extracting #3: cost 117 inf + 184 31.633 * * [simplify]: Extracting #4: cost 105 inf + 1843 31.634 * * [simplify]: Extracting #5: cost 95 inf + 3881 31.635 * * [simplify]: Extracting #6: cost 92 inf + 4164 31.640 * * [simplify]: Extracting #7: cost 41 inf + 23400 31.649 * * [simplify]: Extracting #8: cost 1 inf + 41154 31.662 * * [simplify]: Extracting #9: cost 0 inf + 41637 31.677 * [simplify]: Simplified to (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (- (log (cbrt (sqrt 2))) (log (cos th)))) 31.677 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log a1) (log (cbrt (sqrt 2))))) (- (log (cbrt (sqrt 2))) (log (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 31.677 * * * * [progress]: [ 97 / 614 ] simplifiying candidate # 31.677 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (cbrt (sqrt 2)) a1))) 31.678 * * [simplify]: iters left: 6 (17 enodes) 31.683 * * [simplify]: iters left: 5 (67 enodes) 31.696 * * [simplify]: iters left: 4 (122 enodes) 31.719 * * [simplify]: iters left: 3 (260 enodes) 31.828 * * [simplify]: Extracting #0: cost 1 inf + 0 31.828 * * [simplify]: Extracting #1: cost 48 inf + 0 31.828 * * [simplify]: Extracting #2: cost 114 inf + 1 31.829 * * [simplify]: Extracting #3: cost 122 inf + 296 31.829 * * [simplify]: Extracting #4: cost 110 inf + 1866 31.831 * * [simplify]: Extracting #5: cost 99 inf + 4205 31.832 * * [simplify]: Extracting #6: cost 96 inf + 4408 31.834 * * [simplify]: Extracting #7: cost 58 inf + 17850 31.841 * * [simplify]: Extracting #8: cost 3 inf + 42651 31.857 * * [simplify]: Extracting #9: cost 0 inf + 43993 31.866 * [simplify]: Simplified to (- (+ (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) 31.866 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (- (log a1) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 31.866 * * * * [progress]: [ 98 / 614 ] simplifiying candidate # 31.866 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (cbrt (sqrt 2))) (log a1))) 31.866 * * [simplify]: iters left: 6 (16 enodes) 31.871 * * [simplify]: iters left: 5 (65 enodes) 31.884 * * [simplify]: iters left: 4 (120 enodes) 31.924 * * [simplify]: iters left: 3 (318 enodes) 32.118 * * [simplify]: Extracting #0: cost 1 inf + 0 32.118 * * [simplify]: Extracting #1: cost 38 inf + 0 32.119 * * [simplify]: Extracting #2: cost 109 inf + 1 32.120 * * [simplify]: Extracting #3: cost 114 inf + 2 32.121 * * [simplify]: Extracting #4: cost 98 inf + 2491 32.123 * * [simplify]: Extracting #5: cost 83 inf + 5186 32.128 * * [simplify]: Extracting #6: cost 39 inf + 21621 32.142 * * [simplify]: Extracting #7: cost 1 inf + 36299 32.161 * * [simplify]: Extracting #8: cost 0 inf + 36852 32.179 * [simplify]: Simplified to (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) 32.179 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 32.179 * * * * [progress]: [ 99 / 614 ] simplifiying candidate # 32.180 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (cbrt (sqrt 2)) a1))) 32.180 * * [simplify]: iters left: 6 (16 enodes) 32.189 * * [simplify]: iters left: 5 (63 enodes) 32.211 * * [simplify]: iters left: 4 (110 enodes) 32.255 * * [simplify]: iters left: 3 (273 enodes) 32.413 * * [simplify]: Extracting #0: cost 1 inf + 0 32.414 * * [simplify]: Extracting #1: cost 49 inf + 0 32.414 * * [simplify]: Extracting #2: cost 139 inf + 1 32.415 * * [simplify]: Extracting #3: cost 160 inf + 73 32.417 * * [simplify]: Extracting #4: cost 149 inf + 1602 32.419 * * [simplify]: Extracting #5: cost 128 inf + 5339 32.421 * * [simplify]: Extracting #6: cost 122 inf + 6359 32.429 * * [simplify]: Extracting #7: cost 46 inf + 34745 32.447 * * [simplify]: Extracting #8: cost 1 inf + 53506 32.466 * * [simplify]: Extracting #9: cost 0 inf + 53888 32.476 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1))) 32.476 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 32.477 * * * * [progress]: [ 100 / 614 ] simplifiying candidate # 32.477 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (cbrt (sqrt 2))) (log a1))) 32.477 * * [simplify]: iters left: 6 (17 enodes) 32.483 * * [simplify]: iters left: 5 (72 enodes) 32.495 * * [simplify]: iters left: 4 (120 enodes) 32.537 * * [simplify]: iters left: 3 (303 enodes) 32.692 * * [simplify]: Extracting #0: cost 1 inf + 0 32.692 * * [simplify]: Extracting #1: cost 45 inf + 0 32.692 * * [simplify]: Extracting #2: cost 116 inf + 1 32.693 * * [simplify]: Extracting #3: cost 121 inf + 2 32.693 * * [simplify]: Extracting #4: cost 106 inf + 2379 32.694 * * [simplify]: Extracting #5: cost 92 inf + 4669 32.697 * * [simplify]: Extracting #6: cost 39 inf + 24423 32.709 * * [simplify]: Extracting #7: cost 0 inf + 40221 32.723 * [simplify]: Simplified to (+ (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log a1) (log (cbrt (sqrt 2))))) 32.723 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log a1) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 32.723 * * * * [progress]: [ 101 / 614 ] simplifiying candidate # 32.723 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (cbrt (sqrt 2)) a1))) 32.723 * * [simplify]: iters left: 6 (17 enodes) 32.729 * * [simplify]: iters left: 5 (70 enodes) 32.741 * * [simplify]: iters left: 4 (109 enodes) 32.777 * * [simplify]: iters left: 3 (257 enodes) 32.866 * * [simplify]: Extracting #0: cost 1 inf + 0 32.866 * * [simplify]: Extracting #1: cost 46 inf + 0 32.867 * * [simplify]: Extracting #2: cost 142 inf + 1 32.867 * * [simplify]: Extracting #3: cost 158 inf + 408 32.868 * * [simplify]: Extracting #4: cost 146 inf + 1979 32.869 * * [simplify]: Extracting #5: cost 127 inf + 6081 32.874 * * [simplify]: Extracting #6: cost 63 inf + 28072 32.890 * * [simplify]: Extracting #7: cost 2 inf + 51396 32.900 * * [simplify]: Extracting #8: cost 0 inf + 52191 32.909 * [simplify]: Simplified to (+ (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log a1) (log (cbrt (sqrt 2))))) 32.909 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log a1) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 32.909 * * * * [progress]: [ 102 / 614 ] simplifiying candidate # 32.909 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (cbrt (sqrt 2))) (log a1))) 32.909 * * [simplify]: iters left: 6 (17 enodes) 32.914 * * [simplify]: iters left: 5 (66 enodes) 32.928 * * [simplify]: iters left: 4 (124 enodes) 32.976 * * [simplify]: iters left: 3 (274 enodes) 33.116 * * [simplify]: Extracting #0: cost 1 inf + 0 33.116 * * [simplify]: Extracting #1: cost 38 inf + 0 33.117 * * [simplify]: Extracting #2: cost 106 inf + 1 33.118 * * [simplify]: Extracting #3: cost 112 inf + 2 33.119 * * [simplify]: Extracting #4: cost 99 inf + 1724 33.121 * * [simplify]: Extracting #5: cost 81 inf + 4693 33.128 * * [simplify]: Extracting #6: cost 37 inf + 22253 33.146 * * [simplify]: Extracting #7: cost 1 inf + 37164 33.163 * * [simplify]: Extracting #8: cost 0 inf + 37617 33.181 * [simplify]: Simplified to (+ (log (cos th)) (- (- (- (log a1) (- (log (cbrt (sqrt 2))) (log a1))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) 33.181 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (- (- (- (log a1) (- (log (cbrt (sqrt 2))) (log a1))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 33.182 * * * * [progress]: [ 103 / 614 ] simplifiying candidate # 33.182 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (cbrt (sqrt 2)) a1))) 33.182 * * [simplify]: iters left: 6 (16 enodes) 33.191 * * [simplify]: iters left: 5 (62 enodes) 33.202 * * [simplify]: iters left: 4 (113 enodes) 33.231 * * [simplify]: iters left: 3 (256 enodes) 33.390 * * [simplify]: Extracting #0: cost 1 inf + 0 33.390 * * [simplify]: Extracting #1: cost 42 inf + 0 33.390 * * [simplify]: Extracting #2: cost 101 inf + 1 33.391 * * [simplify]: Extracting #3: cost 109 inf + 2 33.391 * * [simplify]: Extracting #4: cost 101 inf + 966 33.392 * * [simplify]: Extracting #5: cost 81 inf + 4069 33.394 * * [simplify]: Extracting #6: cost 51 inf + 13818 33.400 * * [simplify]: Extracting #7: cost 6 inf + 33002 33.411 * * [simplify]: Extracting #8: cost 0 inf + 35916 33.424 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1))) 33.424 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 33.424 * * * * [progress]: [ 104 / 614 ] simplifiying candidate # 33.424 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (cbrt (sqrt 2))) (log a1))) 33.425 * * [simplify]: iters left: 6 (18 enodes) 33.430 * * [simplify]: iters left: 5 (74 enodes) 33.441 * * [simplify]: iters left: 4 (119 enodes) 33.488 * * [simplify]: iters left: 3 (292 enodes) 33.631 * * [simplify]: Extracting #0: cost 1 inf + 0 33.632 * * [simplify]: Extracting #1: cost 48 inf + 0 33.633 * * [simplify]: Extracting #2: cost 122 inf + 1 33.634 * * [simplify]: Extracting #3: cost 128 inf + 2 33.635 * * [simplify]: Extracting #4: cost 113 inf + 2288 33.637 * * [simplify]: Extracting #5: cost 96 inf + 4675 33.640 * * [simplify]: Extracting #6: cost 76 inf + 11846 33.653 * * [simplify]: Extracting #7: cost 13 inf + 37132 33.671 * * [simplify]: Extracting #8: cost 1 inf + 40814 33.689 * * [simplify]: Extracting #9: cost 0 inf + 41126 33.706 * [simplify]: Simplified to (+ (log a1) (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log a1)))) 33.706 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (sqrt 2))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 33.706 * * * * [progress]: [ 105 / 614 ] simplifiying candidate # 33.706 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (cbrt (sqrt 2)) a1))) 33.707 * * [simplify]: iters left: 6 (17 enodes) 33.717 * * [simplify]: iters left: 5 (70 enodes) 33.739 * * [simplify]: iters left: 4 (108 enodes) 33.768 * * [simplify]: iters left: 3 (248 enodes) 33.844 * * [simplify]: Extracting #0: cost 1 inf + 0 33.844 * * [simplify]: Extracting #1: cost 46 inf + 0 33.845 * * [simplify]: Extracting #2: cost 114 inf + 1 33.846 * * [simplify]: Extracting #3: cost 125 inf + 296 33.847 * * [simplify]: Extracting #4: cost 106 inf + 3110 33.848 * * [simplify]: Extracting #5: cost 98 inf + 4271 33.852 * * [simplify]: Extracting #6: cost 72 inf + 12093 33.863 * * [simplify]: Extracting #7: cost 15 inf + 35725 33.878 * * [simplify]: Extracting #8: cost 0 inf + 42788 33.886 * * [simplify]: Extracting #9: cost 0 inf + 42728 33.894 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1)))) 33.894 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (/ (cbrt (sqrt 2)) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 33.894 * * * * [progress]: [ 106 / 614 ] simplifiying candidate # 33.894 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (cbrt (sqrt 2))) (log a1))) 33.894 * * [simplify]: iters left: 6 (17 enodes) 33.899 * * [simplify]: iters left: 5 (69 enodes) 33.914 * * [simplify]: iters left: 4 (125 enodes) 33.956 * * [simplify]: iters left: 3 (271 enodes) 34.073 * * [simplify]: Extracting #0: cost 1 inf + 0 34.073 * * [simplify]: Extracting #1: cost 39 inf + 0 34.074 * * [simplify]: Extracting #2: cost 94 inf + 1 34.074 * * [simplify]: Extracting #3: cost 101 inf + 2 34.075 * * [simplify]: Extracting #4: cost 88 inf + 1453 34.075 * * [simplify]: Extracting #5: cost 78 inf + 2918 34.078 * * [simplify]: Extracting #6: cost 28 inf + 20623 34.084 * * [simplify]: Extracting #7: cost 1 inf + 32861 34.091 * * [simplify]: Extracting #8: cost 0 inf + 33283 34.098 * [simplify]: Simplified to (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log (* a1 (cos th))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) 34.098 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (log a1) (log (cbrt (sqrt 2)))) (- (log (* a1 (cos th))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 34.099 * * * * [progress]: [ 107 / 614 ] simplifiying candidate # 34.099 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (cbrt (sqrt 2)) a1))) 34.099 * * [simplify]: iters left: 6 (16 enodes) 34.108 * * [simplify]: iters left: 5 (65 enodes) 34.132 * * [simplify]: iters left: 4 (114 enodes) 34.153 * * [simplify]: iters left: 3 (235 enodes) 34.240 * * [simplify]: iters left: 2 (489 enodes) 34.497 * * [simplify]: Extracting #0: cost 1 inf + 0 34.498 * * [simplify]: Extracting #1: cost 75 inf + 0 34.498 * * [simplify]: Extracting #2: cost 154 inf + 1 34.499 * * [simplify]: Extracting #3: cost 162 inf + 2 34.500 * * [simplify]: Extracting #4: cost 154 inf + 1016 34.501 * * [simplify]: Extracting #5: cost 137 inf + 3579 34.506 * * [simplify]: Extracting #6: cost 69 inf + 29856 34.517 * * [simplify]: Extracting #7: cost 4 inf + 59076 34.539 * * [simplify]: Extracting #8: cost 0 inf + 60581 34.561 * [simplify]: Simplified to (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (log (/ (cbrt (sqrt 2)) a1))) (log (cbrt (sqrt 2)))) 34.561 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (cos th)) (log (/ (cbrt (sqrt 2)) a1))) (log (/ (cbrt (sqrt 2)) a1))) (log (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 34.561 * * * * [progress]: [ 108 / 614 ] simplifiying candidate # 34.562 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (cbrt (sqrt 2))) (log a1))) 34.562 * * [simplify]: iters left: 6 (16 enodes) 34.574 * * [simplify]: iters left: 5 (64 enodes) 34.588 * * [simplify]: iters left: 4 (132 enodes) 34.612 * * [simplify]: iters left: 3 (308 enodes) 34.752 * * [simplify]: Extracting #0: cost 1 inf + 0 34.753 * * [simplify]: Extracting #1: cost 48 inf + 0 34.753 * * [simplify]: Extracting #2: cost 132 inf + 1 34.755 * * [simplify]: Extracting #3: cost 156 inf + 2 34.756 * * [simplify]: Extracting #4: cost 152 inf + 675 34.757 * * [simplify]: Extracting #5: cost 133 inf + 3152 34.762 * * [simplify]: Extracting #6: cost 37 inf + 34301 34.774 * * [simplify]: Extracting #7: cost 0 inf + 48906 34.783 * * [simplify]: Extracting #8: cost 0 inf + 48706 34.793 * * [simplify]: Extracting #9: cost 0 inf + 48676 34.802 * [simplify]: Simplified to (+ (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ a1 (cbrt (sqrt 2))))) 34.802 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ a1 (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 34.802 * * * * [progress]: [ 109 / 614 ] simplifiying candidate # 34.802 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (cbrt (sqrt 2)) a1))) 34.803 * * [simplify]: iters left: 6 (15 enodes) 34.808 * * [simplify]: iters left: 5 (60 enodes) 34.830 * * [simplify]: iters left: 4 (123 enodes) 34.868 * * [simplify]: iters left: 3 (281 enodes) 34.959 * * [simplify]: Extracting #0: cost 1 inf + 0 34.959 * * [simplify]: Extracting #1: cost 41 inf + 0 34.960 * * [simplify]: Extracting #2: cost 120 inf + 1 34.961 * * [simplify]: Extracting #3: cost 142 inf + 296 34.962 * * [simplify]: Extracting #4: cost 138 inf + 866 34.965 * * [simplify]: Extracting #5: cost 126 inf + 2192 34.968 * * [simplify]: Extracting #6: cost 60 inf + 22489 34.975 * * [simplify]: Extracting #7: cost 5 inf + 42827 34.983 * * [simplify]: Extracting #8: cost 0 inf + 44503 34.991 * [simplify]: Simplified to (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1))) 34.991 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 34.991 * * * * [progress]: [ 110 / 614 ] simplifiying candidate # 34.991 * * * * [progress]: [ 111 / 614 ] simplifiying candidate # 34.991 * * * * [progress]: [ 112 / 614 ] simplifiying candidate # 34.991 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 34.992 * * [simplify]: iters left: 6 (18 enodes) 34.997 * * [simplify]: iters left: 5 (67 enodes) 35.021 * * [simplify]: iters left: 4 (169 enodes) 35.076 * * [simplify]: Extracting #0: cost 1 inf + 0 35.076 * * [simplify]: Extracting #1: cost 97 inf + 0 35.077 * * [simplify]: Extracting #2: cost 260 inf + 207 35.080 * * [simplify]: Extracting #3: cost 154 inf + 21738 35.092 * * [simplify]: Extracting #4: cost 4 inf + 61914 35.116 * * [simplify]: Extracting #5: cost 0 inf + 62086 35.131 * * [simplify]: Extracting #6: cost 0 inf + 60966 35.147 * * [simplify]: Extracting #7: cost 0 inf + 60846 35.158 * [simplify]: Simplified to (/ (cos th) (/ (/ 2 (* (/ (* a1 (* a1 a1)) (sqrt 2)) (* a1 (* a1 a1)))) (* (cos th) (cos th)))) 35.159 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (cos th) (/ (/ 2 (* (/ (* a1 (* a1 a1)) (sqrt 2)) (* a1 (* a1 a1)))) (* (cos th) (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 35.159 * * * * [progress]: [ 113 / 614 ] simplifiying candidate # 35.159 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 35.159 * * [simplify]: iters left: 6 (21 enodes) 35.165 * * [simplify]: iters left: 5 (81 enodes) 35.180 * * [simplify]: iters left: 4 (212 enodes) 35.298 * * [simplify]: Extracting #0: cost 1 inf + 0 35.298 * * [simplify]: Extracting #1: cost 144 inf + 0 35.301 * * [simplify]: Extracting #2: cost 347 inf + 124 35.306 * * [simplify]: Extracting #3: cost 309 inf + 7720 35.324 * * [simplify]: Extracting #4: cost 121 inf + 66319 35.368 * * [simplify]: Extracting #5: cost 3 inf + 109332 35.390 * * [simplify]: Extracting #6: cost 0 inf + 110481 35.412 * [simplify]: Simplified to (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 2) 35.413 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 35.413 * * * * [progress]: [ 114 / 614 ] simplifiying candidate # 35.413 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 35.413 * * [simplify]: iters left: 6 (21 enodes) 35.419 * * [simplify]: iters left: 5 (91 enodes) 35.456 * * [simplify]: iters left: 4 (283 enodes) 35.679 * * [simplify]: Extracting #0: cost 1 inf + 0 35.680 * * [simplify]: Extracting #1: cost 140 inf + 0 35.683 * * [simplify]: Extracting #2: cost 625 inf + 124 35.692 * * [simplify]: Extracting #3: cost 624 inf + 12608 35.722 * * [simplify]: Extracting #4: cost 284 inf + 106279 35.792 * * [simplify]: Extracting #5: cost 4 inf + 197241 35.872 * * [simplify]: Extracting #6: cost 0 inf + 197952 35.924 * * [simplify]: Extracting #7: cost 0 inf + 197912 35.991 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (sqrt 2) a1) (* (/ (sqrt 2) a1) (/ (sqrt 2) a1)))) 35.991 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (sqrt 2) a1) (* (/ (sqrt 2) a1) (/ (sqrt 2) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 35.992 * * * * [progress]: [ 115 / 614 ] simplifiying candidate # 35.992 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 35.993 * * [simplify]: iters left: 6 (23 enodes) 36.006 * * [simplify]: iters left: 5 (102 enodes) 36.029 * * [simplify]: iters left: 4 (317 enodes) 36.343 * * [simplify]: Extracting #0: cost 1 inf + 0 36.344 * * [simplify]: Extracting #1: cost 243 inf + 0 36.349 * * [simplify]: Extracting #2: cost 778 inf + 124 36.356 * * [simplify]: Extracting #3: cost 850 inf + 1064 36.388 * * [simplify]: Extracting #4: cost 595 inf + 71062 36.484 * * [simplify]: Extracting #5: cost 43 inf + 262399 36.587 * * [simplify]: Extracting #6: cost 0 inf + 276717 36.666 * * [simplify]: Extracting #7: cost 0 inf + 276117 36.749 * [simplify]: Simplified to (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (/ (sqrt 2) a1) (* a1 a1))) (* (/ (sqrt 2) a1) (/ (sqrt 2) (* a1 a1)))) 36.749 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (cos th) (cos th)) (cos th)) (/ (/ (sqrt 2) a1) (* a1 a1))) (* (/ (sqrt 2) a1) (/ (sqrt 2) (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 36.749 * * * * [progress]: [ 116 / 614 ] simplifiying candidate # 36.749 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 36.750 * * [simplify]: iters left: 6 (19 enodes) 36.761 * * [simplify]: iters left: 5 (86 enodes) 36.793 * * [simplify]: iters left: 4 (293 enodes) 37.065 * * [simplify]: Extracting #0: cost 1 inf + 0 37.065 * * [simplify]: Extracting #1: cost 173 inf + 0 37.067 * * [simplify]: Extracting #2: cost 637 inf + 124 37.080 * * [simplify]: Extracting #3: cost 462 inf + 76096 37.163 * * [simplify]: Extracting #4: cost 26 inf + 239397 37.236 * * [simplify]: Extracting #5: cost 0 inf + 242791 37.355 * * [simplify]: Extracting #6: cost 0 inf + 241911 37.440 * [simplify]: Simplified to (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ (sqrt 2) (* a1 (* a1 a1))) (* a1 (* a1 a1)))) 37.440 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ (sqrt 2) (* a1 (* a1 a1))) (* a1 (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 37.440 * * * * [progress]: [ 117 / 614 ] simplifiying candidate # 37.440 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 37.441 * * [simplify]: iters left: 6 (21 enodes) 37.450 * * [simplify]: iters left: 5 (97 enodes) 37.475 * * [simplify]: iters left: 4 (328 enodes) 37.813 * * [simplify]: Extracting #0: cost 1 inf + 0 37.814 * * [simplify]: Extracting #1: cost 242 inf + 0 37.819 * * [simplify]: Extracting #2: cost 755 inf + 124 37.828 * * [simplify]: Extracting #3: cost 800 inf + 3460 37.836 * * [simplify]: Extracting #4: cost 777 inf + 6201 37.856 * * [simplify]: Extracting #5: cost 634 inf + 54790 37.948 * * [simplify]: Extracting #6: cost 131 inf + 255466 38.077 * * [simplify]: Extracting #7: cost 0 inf + 300207 38.188 * * [simplify]: Extracting #8: cost 0 inf + 298807 38.299 * [simplify]: Simplified to (* (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2))))) (/ a1 (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))))) 38.299 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (cos th) (cos th)) (cos th)) (/ (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2))))) (/ a1 (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 38.299 * * * * [progress]: [ 118 / 614 ] simplifiying candidate # 38.299 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 38.299 * * [simplify]: iters left: 6 (18 enodes) 38.305 * * [simplify]: iters left: 5 (71 enodes) 38.320 * * [simplify]: iters left: 4 (180 enodes) 38.407 * * [simplify]: Extracting #0: cost 1 inf + 0 38.408 * * [simplify]: Extracting #1: cost 111 inf + 0 38.409 * * [simplify]: Extracting #2: cost 279 inf + 43 38.413 * * [simplify]: Extracting #3: cost 183 inf + 19463 38.424 * * [simplify]: Extracting #4: cost 15 inf + 63153 38.447 * * [simplify]: Extracting #5: cost 0 inf + 67897 38.467 * [simplify]: Simplified to (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) (* (/ (/ (sqrt 2) a1) a1) (/ 2 a1))) 38.467 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) (* (/ (/ (sqrt 2) a1) a1) (/ 2 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 38.468 * * * * [progress]: [ 119 / 614 ] simplifiying candidate # 38.468 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 38.468 * * [simplify]: iters left: 6 (19 enodes) 38.475 * * [simplify]: iters left: 5 (79 enodes) 38.497 * * [simplify]: iters left: 4 (216 enodes) 38.605 * * [simplify]: Extracting #0: cost 1 inf + 0 38.606 * * [simplify]: Extracting #1: cost 151 inf + 0 38.607 * * [simplify]: Extracting #2: cost 357 inf + 43 38.610 * * [simplify]: Extracting #3: cost 308 inf + 12147 38.632 * * [simplify]: Extracting #4: cost 109 inf + 72450 38.680 * * [simplify]: Extracting #5: cost 0 inf + 114486 38.726 * [simplify]: Simplified to (/ (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) (/ (cbrt (sqrt 2)) a1)) (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) 2))) 38.726 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) (/ (cbrt (sqrt 2)) a1)) (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 38.727 * * * * [progress]: [ 120 / 614 ] simplifiying candidate # 38.727 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 38.728 * * [simplify]: iters left: 6 (21 enodes) 38.735 * * [simplify]: iters left: 5 (95 enodes) 38.755 * * [simplify]: iters left: 4 (279 enodes) 38.996 * * [simplify]: Extracting #0: cost 1 inf + 0 38.996 * * [simplify]: Extracting #1: cost 146 inf + 0 39.000 * * [simplify]: Extracting #2: cost 599 inf + 2 39.007 * * [simplify]: Extracting #3: cost 612 inf + 7938 39.046 * * [simplify]: Extracting #4: cost 278 inf + 97775 39.110 * * [simplify]: Extracting #5: cost 9 inf + 184714 39.167 * * [simplify]: Extracting #6: cost 0 inf + 187278 39.218 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (/ (sqrt 2) (* (* a1 a1) a1)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th)))))) 39.219 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* a1 (cos th)) (* (/ (sqrt 2) (* (* a1 a1) a1)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 39.219 * * * * [progress]: [ 121 / 614 ] simplifiying candidate # 39.219 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 39.220 * * [simplify]: iters left: 6 (21 enodes) 39.232 * * [simplify]: iters left: 5 (100 enodes) 39.279 * * [simplify]: iters left: 4 (306 enodes) 39.620 * * [simplify]: Extracting #0: cost 1 inf + 0 39.621 * * [simplify]: Extracting #1: cost 223 inf + 0 39.623 * * [simplify]: Extracting #2: cost 714 inf + 2 39.627 * * [simplify]: Extracting #3: cost 744 inf + 4142 39.639 * * [simplify]: Extracting #4: cost 532 inf + 63982 39.696 * * [simplify]: Extracting #5: cost 58 inf + 226793 39.770 * * [simplify]: Extracting #6: cost 0 inf + 244155 39.837 * * [simplify]: Extracting #7: cost 0 inf + 243835 39.928 * [simplify]: Simplified to (/ (* (/ (cos th) (/ (sqrt 2) a1)) (/ (cos th) (/ (sqrt 2) a1))) (/ (/ (/ (/ (sqrt 2) a1) a1) a1) (* a1 (cos th)))) 39.928 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (cos th) (/ (sqrt 2) a1)) (/ (cos th) (/ (sqrt 2) a1))) (/ (/ (/ (/ (sqrt 2) a1) a1) a1) (* a1 (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 39.928 * * * * [progress]: [ 122 / 614 ] simplifiying candidate # 39.928 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 39.928 * * [simplify]: iters left: 6 (19 enodes) 39.934 * * [simplify]: iters left: 5 (90 enodes) 39.959 * * [simplify]: iters left: 4 (303 enodes) 40.341 * * [simplify]: Extracting #0: cost 1 inf + 0 40.342 * * [simplify]: Extracting #1: cost 189 inf + 0 40.346 * * [simplify]: Extracting #2: cost 665 inf + 124 40.369 * * [simplify]: Extracting #3: cost 529 inf + 63493 40.458 * * [simplify]: Extracting #4: cost 92 inf + 230894 40.529 * * [simplify]: Extracting #5: cost 0 inf + 262987 40.624 * * [simplify]: Extracting #6: cost 0 inf + 261907 40.739 * [simplify]: Simplified to (* (* (* a1 a1) a1) (/ (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (sqrt 2) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))))) 40.739 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* a1 a1) a1) (/ (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (sqrt 2) (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 40.739 * * * * [progress]: [ 123 / 614 ] simplifiying candidate # 40.739 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 40.740 * * [simplify]: iters left: 6 (19 enodes) 40.750 * * [simplify]: iters left: 5 (95 enodes) 40.791 * * [simplify]: iters left: 4 (331 enodes) 41.141 * * [simplify]: Extracting #0: cost 1 inf + 0 41.141 * * [simplify]: Extracting #1: cost 231 inf + 0 41.146 * * [simplify]: Extracting #2: cost 771 inf + 43 41.153 * * [simplify]: Extracting #3: cost 835 inf + 2070 41.161 * * [simplify]: Extracting #4: cost 808 inf + 5471 41.178 * * [simplify]: Extracting #5: cost 670 inf + 50263 41.269 * * [simplify]: Extracting #6: cost 185 inf + 246593 41.373 * * [simplify]: Extracting #7: cost 5 inf + 316234 41.464 * * [simplify]: Extracting #8: cost 0 inf + 316097 41.588 * * [simplify]: Extracting #9: cost 0 inf + 315857 41.698 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))))) 41.698 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 41.698 * * * * [progress]: [ 124 / 614 ] simplifiying candidate # 41.698 * [simplify]: Simplifying (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt 2) (* (* a1 a1) a1))) 41.699 * * [simplify]: iters left: 6 (17 enodes) 41.704 * * [simplify]: iters left: 5 (72 enodes) 41.720 * * [simplify]: iters left: 4 (204 enodes) 41.875 * * [simplify]: Extracting #0: cost 1 inf + 0 41.875 * * [simplify]: Extracting #1: cost 129 inf + 0 41.877 * * [simplify]: Extracting #2: cost 444 inf + 2 41.886 * * [simplify]: Extracting #3: cost 246 inf + 70227 41.930 * * [simplify]: Extracting #4: cost 2 inf + 161932 41.977 * * [simplify]: Extracting #5: cost 0 inf + 162349 42.035 * * [simplify]: Extracting #6: cost 0 inf + 162309 42.096 * [simplify]: Simplified to (* (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 a1)) (/ (sqrt 2) (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 a1)) (* a1 a1)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 42.096 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 a1)) (/ (sqrt 2) (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 a1)) (* a1 a1)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 42.096 * * * * [progress]: [ 125 / 614 ] simplifiying candidate # 42.096 * [simplify]: Simplifying (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1))) 42.097 * * [simplify]: iters left: 6 (17 enodes) 42.107 * * [simplify]: iters left: 5 (79 enodes) 42.143 * * [simplify]: iters left: 4 (246 enodes) 42.358 * * [simplify]: Extracting #0: cost 1 inf + 0 42.358 * * [simplify]: Extracting #1: cost 135 inf + 0 42.361 * * [simplify]: Extracting #2: cost 488 inf + 3 42.365 * * [simplify]: Extracting #3: cost 504 inf + 298 42.379 * * [simplify]: Extracting #4: cost 275 inf + 79874 42.448 * * [simplify]: Extracting #5: cost 6 inf + 187958 42.510 * * [simplify]: Extracting #6: cost 0 inf + 188055 42.554 * * [simplify]: Extracting #7: cost 0 inf + 187615 42.606 * * [simplify]: Extracting #8: cost 0 inf + 187535 42.650 * [simplify]: Simplified to (* (* (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2))))) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2))))) 42.651 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2))))) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 42.651 * * * * [progress]: [ 126 / 614 ] simplifiying candidate # 42.651 * * * * [progress]: [ 127 / 614 ] simplifiying candidate # 42.651 * * * * [progress]: [ 128 / 614 ] simplifiying candidate # 42.651 * * * * [progress]: [ 129 / 614 ] simplifiying candidate # 42.651 * * * * [progress]: [ 130 / 614 ] simplifiying candidate # 42.651 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 42.652 * * [simplify]: iters left: 6 (17 enodes) 42.660 * * [simplify]: iters left: 5 (64 enodes) 42.679 * * [simplify]: iters left: 4 (109 enodes) 42.699 * * [simplify]: iters left: 3 (169 enodes) 42.729 * * [simplify]: iters left: 2 (220 enodes) 42.772 * * [simplify]: iters left: 1 (277 enodes) 42.863 * * [simplify]: Extracting #0: cost 1 inf + 0 42.863 * * [simplify]: Extracting #1: cost 11 inf + 0 42.863 * * [simplify]: Extracting #2: cost 22 inf + 0 42.863 * * [simplify]: Extracting #3: cost 42 inf + 0 42.864 * * [simplify]: Extracting #4: cost 58 inf + 2 42.864 * * [simplify]: Extracting #5: cost 58 inf + 64 42.865 * * [simplify]: Extracting #6: cost 46 inf + 1683 42.867 * * [simplify]: Extracting #7: cost 16 inf + 10375 42.873 * * [simplify]: Extracting #8: cost 1 inf + 16313 42.878 * * [simplify]: Extracting #9: cost 0 inf + 16856 42.884 * [simplify]: Simplified to (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (/ (cbrt (sqrt 2)) a1)))) 42.884 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 42.885 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 42.885 * * [simplify]: iters left: 6 (15 enodes) 42.890 * * [simplify]: iters left: 5 (52 enodes) 42.908 * * [simplify]: iters left: 4 (82 enodes) 42.933 * * [simplify]: iters left: 3 (135 enodes) 42.964 * * [simplify]: iters left: 2 (181 enodes) 43.000 * * [simplify]: iters left: 1 (244 enodes) 43.061 * * [simplify]: Extracting #0: cost 1 inf + 0 43.061 * * [simplify]: Extracting #1: cost 4 inf + 0 43.061 * * [simplify]: Extracting #2: cost 8 inf + 0 43.061 * * [simplify]: Extracting #3: cost 28 inf + 0 43.061 * * [simplify]: Extracting #4: cost 45 inf + 2 43.062 * * [simplify]: Extracting #5: cost 45 inf + 64 43.062 * * [simplify]: Extracting #6: cost 28 inf + 2633 43.064 * * [simplify]: Extracting #7: cost 4 inf + 8929 43.066 * * [simplify]: Extracting #8: cost 0 inf + 9898 43.068 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1))) 43.068 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 43.068 * * * * [progress]: [ 131 / 614 ] simplifiying candidate # 43.068 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 43.068 * * [simplify]: iters left: 6 (16 enodes) 43.072 * * [simplify]: iters left: 5 (57 enodes) 43.081 * * [simplify]: iters left: 4 (91 enodes) 43.096 * * [simplify]: iters left: 3 (147 enodes) 43.130 * * [simplify]: iters left: 2 (195 enodes) 43.167 * * [simplify]: iters left: 1 (252 enodes) 43.236 * * [simplify]: Extracting #0: cost 1 inf + 0 43.236 * * [simplify]: Extracting #1: cost 7 inf + 0 43.236 * * [simplify]: Extracting #2: cost 14 inf + 0 43.237 * * [simplify]: Extracting #3: cost 34 inf + 0 43.237 * * [simplify]: Extracting #4: cost 50 inf + 2 43.237 * * [simplify]: Extracting #5: cost 50 inf + 64 43.237 * * [simplify]: Extracting #6: cost 37 inf + 1827 43.239 * * [simplify]: Extracting #7: cost 11 inf + 8606 43.241 * * [simplify]: Extracting #8: cost 0 inf + 12474 43.245 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 43.245 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 43.246 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 43.246 * * [simplify]: iters left: 6 (15 enodes) 43.250 * * [simplify]: iters left: 5 (52 enodes) 43.266 * * [simplify]: iters left: 4 (82 enodes) 43.294 * * [simplify]: iters left: 3 (135 enodes) 43.338 * * [simplify]: iters left: 2 (181 enodes) 43.377 * * [simplify]: iters left: 1 (244 enodes) 43.447 * * [simplify]: Extracting #0: cost 1 inf + 0 43.447 * * [simplify]: Extracting #1: cost 4 inf + 0 43.447 * * [simplify]: Extracting #2: cost 8 inf + 0 43.447 * * [simplify]: Extracting #3: cost 28 inf + 0 43.447 * * [simplify]: Extracting #4: cost 45 inf + 2 43.448 * * [simplify]: Extracting #5: cost 45 inf + 64 43.448 * * [simplify]: Extracting #6: cost 28 inf + 2633 43.450 * * [simplify]: Extracting #7: cost 4 inf + 8809 43.452 * * [simplify]: Extracting #8: cost 0 inf + 9738 43.454 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 43.454 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 43.454 * * * * [progress]: [ 132 / 614 ] simplifiying candidate # 43.455 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 43.455 * * [simplify]: iters left: 6 (18 enodes) 43.459 * * [simplify]: iters left: 5 (67 enodes) 43.471 * * [simplify]: iters left: 4 (118 enodes) 43.495 * * [simplify]: iters left: 3 (211 enodes) 43.534 * * [simplify]: iters left: 2 (309 enodes) 43.633 * * [simplify]: iters left: 1 (400 enodes) 43.787 * * [simplify]: Extracting #0: cost 1 inf + 0 43.787 * * [simplify]: Extracting #1: cost 25 inf + 0 43.788 * * [simplify]: Extracting #2: cost 51 inf + 0 43.788 * * [simplify]: Extracting #3: cost 67 inf + 203 43.789 * * [simplify]: Extracting #4: cost 83 inf + 406 44.176 * * [simplify]: Extracting #5: cost 82 inf + 529 44.177 * * [simplify]: Extracting #6: cost 69 inf + 2451 44.181 * * [simplify]: Extracting #7: cost 33 inf + 14697 44.187 * * [simplify]: Extracting #8: cost 4 inf + 29636 44.194 * * [simplify]: Extracting #9: cost 0 inf + 31907 44.200 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))))) 44.200 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 44.201 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 44.201 * * [simplify]: iters left: 6 (16 enodes) 44.205 * * [simplify]: iters left: 5 (57 enodes) 44.224 * * [simplify]: iters left: 4 (92 enodes) 44.254 * * [simplify]: iters left: 3 (150 enodes) 44.305 * * [simplify]: iters left: 2 (200 enodes) 44.373 * * [simplify]: iters left: 1 (257 enodes) 44.461 * * [simplify]: Extracting #0: cost 1 inf + 0 44.461 * * [simplify]: Extracting #1: cost 8 inf + 0 44.461 * * [simplify]: Extracting #2: cost 17 inf + 0 44.461 * * [simplify]: Extracting #3: cost 35 inf + 82 44.461 * * [simplify]: Extracting #4: cost 52 inf + 164 44.461 * * [simplify]: Extracting #5: cost 43 inf + 914 44.463 * * [simplify]: Extracting #6: cost 11 inf + 8945 44.465 * * [simplify]: Extracting #7: cost 0 inf + 12592 44.467 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 44.467 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 44.467 * * * * [progress]: [ 133 / 614 ] simplifiying candidate # 44.468 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 44.468 * * [simplify]: iters left: 6 (17 enodes) 44.472 * * [simplify]: iters left: 5 (62 enodes) 44.489 * * [simplify]: iters left: 4 (105 enodes) 44.519 * * [simplify]: iters left: 3 (178 enodes) 44.557 * * [simplify]: iters left: 2 (242 enodes) 44.649 * * [simplify]: iters left: 1 (316 enodes) 44.747 * * [simplify]: Extracting #0: cost 1 inf + 0 44.747 * * [simplify]: Extracting #1: cost 17 inf + 0 44.747 * * [simplify]: Extracting #2: cost 34 inf + 0 44.747 * * [simplify]: Extracting #3: cost 51 inf + 42 44.748 * * [simplify]: Extracting #4: cost 68 inf + 84 44.749 * * [simplify]: Extracting #5: cost 68 inf + 146 44.750 * * [simplify]: Extracting #6: cost 55 inf + 2270 44.754 * * [simplify]: Extracting #7: cost 20 inf + 12290 44.762 * * [simplify]: Extracting #8: cost 4 inf + 19312 44.771 * * [simplify]: Extracting #9: cost 0 inf + 21303 44.779 * [simplify]: Simplified to (* (/ (* (sqrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) 44.779 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (sqrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 44.780 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 44.780 * * [simplify]: iters left: 6 (16 enodes) 44.790 * * [simplify]: iters left: 5 (57 enodes) 44.801 * * [simplify]: iters left: 4 (92 enodes) 44.816 * * [simplify]: iters left: 3 (150 enodes) 44.841 * * [simplify]: iters left: 2 (200 enodes) 44.889 * * [simplify]: iters left: 1 (257 enodes) 44.964 * * [simplify]: Extracting #0: cost 1 inf + 0 44.964 * * [simplify]: Extracting #1: cost 8 inf + 0 44.965 * * [simplify]: Extracting #2: cost 17 inf + 0 44.965 * * [simplify]: Extracting #3: cost 35 inf + 42 44.965 * * [simplify]: Extracting #4: cost 52 inf + 84 44.965 * * [simplify]: Extracting #5: cost 43 inf + 834 44.966 * * [simplify]: Extracting #6: cost 11 inf + 8745 44.969 * * [simplify]: Extracting #7: cost 0 inf + 12272 44.971 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 44.971 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 44.971 * * * * [progress]: [ 134 / 614 ] simplifiying candidate # 44.971 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 44.971 * * [simplify]: iters left: 6 (16 enodes) 44.976 * * [simplify]: iters left: 5 (57 enodes) 44.986 * * [simplify]: iters left: 4 (93 enodes) 45.008 * * [simplify]: iters left: 3 (156 enodes) 45.062 * * [simplify]: iters left: 2 (212 enodes) 45.124 * * [simplify]: iters left: 1 (274 enodes) 45.241 * * [simplify]: Extracting #0: cost 1 inf + 0 45.241 * * [simplify]: Extracting #1: cost 9 inf + 0 45.241 * * [simplify]: Extracting #2: cost 16 inf + 1 45.241 * * [simplify]: Extracting #3: cost 35 inf + 1 45.242 * * [simplify]: Extracting #4: cost 52 inf + 2 45.242 * * [simplify]: Extracting #5: cost 52 inf + 64 45.243 * * [simplify]: Extracting #6: cost 41 inf + 1360 45.245 * * [simplify]: Extracting #7: cost 11 inf + 9410 45.251 * * [simplify]: Extracting #8: cost 1 inf + 13135 45.257 * * [simplify]: Extracting #9: cost 0 inf + 13638 45.263 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 45.263 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 45.263 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 45.263 * * [simplify]: iters left: 6 (15 enodes) 45.271 * * [simplify]: iters left: 5 (54 enodes) 45.290 * * [simplify]: iters left: 4 (89 enodes) 45.319 * * [simplify]: iters left: 3 (147 enodes) 45.355 * * [simplify]: iters left: 2 (197 enodes) 45.414 * * [simplify]: iters left: 1 (254 enodes) 45.504 * * [simplify]: Extracting #0: cost 1 inf + 0 45.504 * * [simplify]: Extracting #1: cost 8 inf + 0 45.504 * * [simplify]: Extracting #2: cost 14 inf + 1 45.504 * * [simplify]: Extracting #3: cost 34 inf + 1 45.504 * * [simplify]: Extracting #4: cost 52 inf + 2 45.505 * * [simplify]: Extracting #5: cost 40 inf + 1380 45.506 * * [simplify]: Extracting #6: cost 4 inf + 10982 45.509 * * [simplify]: Extracting #7: cost 0 inf + 11950 45.511 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1) 45.511 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 45.512 * * * * [progress]: [ 135 / 614 ] simplifiying candidate # 45.512 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 45.512 * * [simplify]: iters left: 6 (21 enodes) 45.518 * * [simplify]: iters left: 5 (77 enodes) 45.533 * * [simplify]: iters left: 4 (128 enodes) 45.571 * * [simplify]: iters left: 3 (221 enodes) 45.646 * * [simplify]: iters left: 2 (317 enodes) 45.760 * * [simplify]: iters left: 1 (410 enodes) 45.857 * * [simplify]: Extracting #0: cost 1 inf + 0 45.857 * * [simplify]: Extracting #1: cost 25 inf + 0 45.858 * * [simplify]: Extracting #2: cost 51 inf + 0 45.858 * * [simplify]: Extracting #3: cost 71 inf + 82 45.859 * * [simplify]: Extracting #4: cost 90 inf + 406 45.859 * * [simplify]: Extracting #5: cost 85 inf + 733 45.861 * * [simplify]: Extracting #6: cost 54 inf + 6829 45.870 * * [simplify]: Extracting #7: cost 12 inf + 25557 45.882 * * [simplify]: Extracting #8: cost 0 inf + 34033 45.889 * [simplify]: Simplified to (/ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt a1)) (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt a1))) (cbrt (fabs (cbrt 2)))) 45.889 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt a1)) (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt a1))) (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 45.890 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 45.890 * * [simplify]: iters left: 6 (18 enodes) 45.895 * * [simplify]: iters left: 5 (63 enodes) 45.906 * * [simplify]: iters left: 4 (98 enodes) 45.933 * * [simplify]: iters left: 3 (156 enodes) 45.963 * * [simplify]: iters left: 2 (206 enodes) 46.010 * * [simplify]: iters left: 1 (263 enodes) 46.104 * * [simplify]: Extracting #0: cost 1 inf + 0 46.104 * * [simplify]: Extracting #1: cost 8 inf + 0 46.104 * * [simplify]: Extracting #2: cost 17 inf + 0 46.104 * * [simplify]: Extracting #3: cost 36 inf + 82 46.104 * * [simplify]: Extracting #4: cost 55 inf + 164 46.105 * * [simplify]: Extracting #5: cost 43 inf + 1760 46.107 * * [simplify]: Extracting #6: cost 19 inf + 6527 46.111 * * [simplify]: Extracting #7: cost 2 inf + 12110 46.116 * * [simplify]: Extracting #8: cost 0 inf + 13476 46.121 * [simplify]: Simplified to (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 46.121 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 46.121 * * * * [progress]: [ 136 / 614 ] simplifiying candidate # 46.121 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 46.122 * * [simplify]: iters left: 6 (20 enodes) 46.132 * * [simplify]: iters left: 5 (72 enodes) 46.151 * * [simplify]: iters left: 4 (115 enodes) 46.170 * * [simplify]: iters left: 3 (188 enodes) 46.218 * * [simplify]: iters left: 2 (250 enodes) 46.289 * * [simplify]: iters left: 1 (318 enodes) 46.398 * * [simplify]: Extracting #0: cost 1 inf + 0 46.398 * * [simplify]: Extracting #1: cost 17 inf + 0 46.398 * * [simplify]: Extracting #2: cost 34 inf + 0 46.398 * * [simplify]: Extracting #3: cost 53 inf + 83 46.399 * * [simplify]: Extracting #4: cost 75 inf + 84 46.399 * * [simplify]: Extracting #5: cost 67 inf + 833 46.402 * * [simplify]: Extracting #6: cost 33 inf + 7295 46.407 * * [simplify]: Extracting #7: cost 11 inf + 16256 46.414 * * [simplify]: Extracting #8: cost 0 inf + 23509 46.422 * [simplify]: Simplified to (* (/ (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (cbrt (fabs (cbrt 2)))) (sqrt a1)) 46.422 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (cbrt (fabs (cbrt 2)))) (sqrt a1)) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 46.423 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 46.423 * * [simplify]: iters left: 6 (18 enodes) 46.432 * * [simplify]: iters left: 5 (63 enodes) 46.453 * * [simplify]: iters left: 4 (98 enodes) 46.471 * * [simplify]: iters left: 3 (156 enodes) 46.504 * * [simplify]: iters left: 2 (206 enodes) 46.550 * * [simplify]: iters left: 1 (263 enodes) 46.630 * * [simplify]: Extracting #0: cost 1 inf + 0 46.630 * * [simplify]: Extracting #1: cost 8 inf + 0 46.630 * * [simplify]: Extracting #2: cost 17 inf + 0 46.631 * * [simplify]: Extracting #3: cost 36 inf + 42 46.631 * * [simplify]: Extracting #4: cost 55 inf + 84 46.631 * * [simplify]: Extracting #5: cost 43 inf + 1640 46.632 * * [simplify]: Extracting #6: cost 19 inf + 6367 46.634 * * [simplify]: Extracting #7: cost 2 inf + 11830 46.637 * * [simplify]: Extracting #8: cost 0 inf + 13156 46.641 * [simplify]: Simplified to (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 46.641 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 46.641 * * * * [progress]: [ 137 / 614 ] simplifiying candidate # 46.642 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 46.642 * * [simplify]: iters left: 6 (19 enodes) 46.651 * * [simplify]: iters left: 5 (67 enodes) 46.674 * * [simplify]: iters left: 4 (103 enodes) 46.707 * * [simplify]: iters left: 3 (166 enodes) 46.764 * * [simplify]: iters left: 2 (224 enodes) 46.815 * * [simplify]: iters left: 1 (286 enodes) 46.898 * * [simplify]: Extracting #0: cost 1 inf + 0 46.898 * * [simplify]: Extracting #1: cost 9 inf + 0 46.898 * * [simplify]: Extracting #2: cost 16 inf + 1 46.898 * * [simplify]: Extracting #3: cost 38 inf + 1 46.899 * * [simplify]: Extracting #4: cost 60 inf + 2 46.899 * * [simplify]: Extracting #5: cost 49 inf + 1377 46.901 * * [simplify]: Extracting #6: cost 22 inf + 6168 46.906 * * [simplify]: Extracting #7: cost 3 inf + 13417 46.912 * * [simplify]: Extracting #8: cost 0 inf + 15366 46.918 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (fabs (cbrt 2))))) 46.918 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (fabs (cbrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 46.919 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 46.919 * * [simplify]: iters left: 6 (17 enodes) 46.927 * * [simplify]: iters left: 5 (60 enodes) 46.938 * * [simplify]: iters left: 4 (95 enodes) 46.953 * * [simplify]: iters left: 3 (153 enodes) 46.998 * * [simplify]: iters left: 2 (202 enodes) 47.047 * * [simplify]: iters left: 1 (265 enodes) 47.132 * * [simplify]: Extracting #0: cost 1 inf + 0 47.132 * * [simplify]: Extracting #1: cost 8 inf + 0 47.132 * * [simplify]: Extracting #2: cost 14 inf + 1 47.132 * * [simplify]: Extracting #3: cost 35 inf + 1 47.133 * * [simplify]: Extracting #4: cost 56 inf + 2 47.134 * * [simplify]: Extracting #5: cost 36 inf + 2933 47.137 * * [simplify]: Extracting #6: cost 4 inf + 11605 47.142 * * [simplify]: Extracting #7: cost 0 inf + 13036 47.147 * [simplify]: Simplified to (/ (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) a1) (cbrt (sqrt (cbrt 2)))) 47.147 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 47.147 * * * * [progress]: [ 138 / 614 ] simplifiying candidate # 47.148 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 47.148 * * [simplify]: iters left: 6 (19 enodes) 47.154 * * [simplify]: iters left: 5 (70 enodes) 47.168 * * [simplify]: iters left: 4 (121 enodes) 47.199 * * [simplify]: iters left: 3 (214 enodes) 47.249 * * [simplify]: iters left: 2 (313 enodes) 47.363 * * [simplify]: iters left: 1 (404 enodes) 47.492 * * [simplify]: Extracting #0: cost 1 inf + 0 47.492 * * [simplify]: Extracting #1: cost 25 inf + 0 47.492 * * [simplify]: Extracting #2: cost 51 inf + 0 47.492 * * [simplify]: Extracting #3: cost 69 inf + 203 47.493 * * [simplify]: Extracting #4: cost 87 inf + 406 47.493 * * [simplify]: Extracting #5: cost 78 inf + 1219 47.494 * * [simplify]: Extracting #6: cost 42 inf + 9070 47.498 * * [simplify]: Extracting #7: cost 15 inf + 22324 47.504 * * [simplify]: Extracting #8: cost 0 inf + 31349 47.510 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1)) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1))) (cbrt (sqrt (sqrt 2)))) 47.511 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1)) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 47.511 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 47.511 * * [simplify]: iters left: 6 (17 enodes) 47.516 * * [simplify]: iters left: 5 (60 enodes) 47.527 * * [simplify]: iters left: 4 (95 enodes) 47.561 * * [simplify]: iters left: 3 (153 enodes) 47.585 * * [simplify]: iters left: 2 (202 enodes) 47.641 * * [simplify]: iters left: 1 (265 enodes) 47.714 * * [simplify]: Extracting #0: cost 1 inf + 0 47.714 * * [simplify]: Extracting #1: cost 8 inf + 0 47.714 * * [simplify]: Extracting #2: cost 17 inf + 0 47.714 * * [simplify]: Extracting #3: cost 35 inf + 163 47.714 * * [simplify]: Extracting #4: cost 55 inf + 164 47.715 * * [simplify]: Extracting #5: cost 39 inf + 2289 47.718 * * [simplify]: Extracting #6: cost 7 inf + 10157 47.722 * * [simplify]: Extracting #7: cost 0 inf + 12956 47.724 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 47.724 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 47.725 * * * * [progress]: [ 139 / 614 ] simplifiying candidate # 47.725 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 47.725 * * [simplify]: iters left: 6 (18 enodes) 47.730 * * [simplify]: iters left: 5 (65 enodes) 47.741 * * [simplify]: iters left: 4 (108 enodes) 47.758 * * [simplify]: iters left: 3 (181 enodes) 47.801 * * [simplify]: iters left: 2 (244 enodes) 47.851 * * [simplify]: iters left: 1 (306 enodes) 47.991 * * [simplify]: Extracting #0: cost 1 inf + 0 47.991 * * [simplify]: Extracting #1: cost 17 inf + 0 47.991 * * [simplify]: Extracting #2: cost 34 inf + 0 47.991 * * [simplify]: Extracting #3: cost 53 inf + 42 47.992 * * [simplify]: Extracting #4: cost 72 inf + 84 47.992 * * [simplify]: Extracting #5: cost 60 inf + 1400 47.996 * * [simplify]: Extracting #6: cost 17 inf + 13998 48.003 * * [simplify]: Extracting #7: cost 0 inf + 21585 48.006 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) 48.007 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 48.007 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 48.007 * * [simplify]: iters left: 6 (17 enodes) 48.011 * * [simplify]: iters left: 5 (60 enodes) 48.022 * * [simplify]: iters left: 4 (95 enodes) 48.038 * * [simplify]: iters left: 3 (153 enodes) 48.089 * * [simplify]: iters left: 2 (202 enodes) 48.164 * * [simplify]: iters left: 1 (265 enodes) 48.267 * * [simplify]: Extracting #0: cost 1 inf + 0 48.267 * * [simplify]: Extracting #1: cost 8 inf + 0 48.267 * * [simplify]: Extracting #2: cost 17 inf + 0 48.267 * * [simplify]: Extracting #3: cost 35 inf + 83 48.268 * * [simplify]: Extracting #4: cost 55 inf + 84 48.268 * * [simplify]: Extracting #5: cost 39 inf + 2209 48.272 * * [simplify]: Extracting #6: cost 7 inf + 9917 48.276 * * [simplify]: Extracting #7: cost 0 inf + 12636 48.281 * [simplify]: Simplified to (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 48.281 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 48.281 * * * * [progress]: [ 140 / 614 ] simplifiying candidate # 48.282 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 48.282 * * [simplify]: iters left: 6 (17 enodes) 48.294 * * [simplify]: iters left: 5 (60 enodes) 48.306 * * [simplify]: iters left: 4 (96 enodes) 48.326 * * [simplify]: iters left: 3 (159 enodes) 48.360 * * [simplify]: iters left: 2 (215 enodes) 48.433 * * [simplify]: iters left: 1 (283 enodes) 48.564 * * [simplify]: Extracting #0: cost 1 inf + 0 48.564 * * [simplify]: Extracting #1: cost 9 inf + 0 48.564 * * [simplify]: Extracting #2: cost 16 inf + 1 48.564 * * [simplify]: Extracting #3: cost 37 inf + 1 48.565 * * [simplify]: Extracting #4: cost 57 inf + 2 48.565 * * [simplify]: Extracting #5: cost 45 inf + 1137 48.567 * * [simplify]: Extracting #6: cost 23 inf + 5300 48.571 * * [simplify]: Extracting #7: cost 4 inf + 11870 48.576 * * [simplify]: Extracting #8: cost 0 inf + 14162 48.581 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) 48.581 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 48.581 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 48.582 * * [simplify]: iters left: 6 (16 enodes) 48.589 * * [simplify]: iters left: 5 (57 enodes) 48.607 * * [simplify]: iters left: 4 (92 enodes) 48.636 * * [simplify]: iters left: 3 (150 enodes) 48.677 * * [simplify]: iters left: 2 (200 enodes) 48.716 * * [simplify]: iters left: 1 (257 enodes) 48.801 * * [simplify]: Extracting #0: cost 1 inf + 0 48.802 * * [simplify]: Extracting #1: cost 8 inf + 0 48.802 * * [simplify]: Extracting #2: cost 14 inf + 1 48.802 * * [simplify]: Extracting #3: cost 35 inf + 1 48.802 * * [simplify]: Extracting #4: cost 54 inf + 2 48.802 * * [simplify]: Extracting #5: cost 45 inf + 752 48.803 * * [simplify]: Extracting #6: cost 12 inf + 8504 48.805 * * [simplify]: Extracting #7: cost 0 inf + 12112 48.808 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1)) 48.808 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 48.808 * * * * [progress]: [ 141 / 614 ] simplifiying candidate # 48.808 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 48.808 * * [simplify]: iters left: 6 (19 enodes) 48.814 * * [simplify]: iters left: 5 (70 enodes) 48.826 * * [simplify]: iters left: 4 (122 enodes) 48.847 * * [simplify]: iters left: 3 (230 enodes) 48.890 * * [simplify]: iters left: 2 (341 enodes) 48.992 * * [simplify]: iters left: 1 (488 enodes) 49.175 * * [simplify]: Extracting #0: cost 1 inf + 0 49.175 * * [simplify]: Extracting #1: cost 17 inf + 0 49.175 * * [simplify]: Extracting #2: cost 32 inf + 1 49.176 * * [simplify]: Extracting #3: cost 45 inf + 447 49.176 * * [simplify]: Extracting #4: cost 62 inf + 852 49.176 * * [simplify]: Extracting #5: cost 61 inf + 1036 49.177 * * [simplify]: Extracting #6: cost 53 inf + 1889 49.179 * * [simplify]: Extracting #7: cost 16 inf + 12761 49.183 * * [simplify]: Extracting #8: cost 1 inf + 19026 49.188 * * [simplify]: Extracting #9: cost 0 inf + 19610 49.193 * [simplify]: Simplified to (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) 49.193 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 49.194 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 49.194 * * [simplify]: iters left: 6 (15 enodes) 49.198 * * [simplify]: iters left: 5 (54 enodes) 49.209 * * [simplify]: iters left: 4 (89 enodes) 49.224 * * [simplify]: iters left: 3 (147 enodes) 49.259 * * [simplify]: iters left: 2 (200 enodes) 49.336 * * [simplify]: iters left: 1 (264 enodes) 49.466 * * [simplify]: Extracting #0: cost 1 inf + 0 49.466 * * [simplify]: Extracting #1: cost 10 inf + 0 49.466 * * [simplify]: Extracting #2: cost 18 inf + 1 49.466 * * [simplify]: Extracting #3: cost 34 inf + 164 49.467 * * [simplify]: Extracting #4: cost 48 inf + 247 49.467 * * [simplify]: Extracting #5: cost 41 inf + 1218 49.471 * * [simplify]: Extracting #6: cost 5 inf + 10962 49.476 * * [simplify]: Extracting #7: cost 0 inf + 12133 49.481 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 49.481 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 49.482 * * * * [progress]: [ 142 / 614 ] simplifiying candidate # 49.482 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (sqrt a1))) 49.482 * * [simplify]: iters left: 6 (18 enodes) 49.496 * * [simplify]: iters left: 5 (65 enodes) 49.515 * * [simplify]: iters left: 4 (106 enodes) 49.532 * * [simplify]: iters left: 3 (184 enodes) 49.585 * * [simplify]: iters left: 2 (246 enodes) 49.647 * * [simplify]: iters left: 1 (331 enodes) 49.768 * * [simplify]: Extracting #0: cost 1 inf + 0 49.768 * * [simplify]: Extracting #1: cost 11 inf + 0 49.768 * * [simplify]: Extracting #2: cost 20 inf + 1 49.769 * * [simplify]: Extracting #3: cost 36 inf + 43 49.769 * * [simplify]: Extracting #4: cost 53 inf + 166 49.770 * * [simplify]: Extracting #5: cost 52 inf + 310 49.770 * * [simplify]: Extracting #6: cost 41 inf + 1486 49.773 * * [simplify]: Extracting #7: cost 12 inf + 9636 49.782 * * [simplify]: Extracting #8: cost 0 inf + 13934 49.787 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (sqrt a1))) 49.787 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (sqrt a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 49.787 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 49.787 * * [simplify]: iters left: 6 (15 enodes) 49.791 * * [simplify]: iters left: 5 (54 enodes) 49.800 * * [simplify]: iters left: 4 (89 enodes) 49.820 * * [simplify]: iters left: 3 (147 enodes) 49.850 * * [simplify]: iters left: 2 (200 enodes) 49.901 * * [simplify]: iters left: 1 (264 enodes) 50.000 * * [simplify]: Extracting #0: cost 1 inf + 0 50.000 * * [simplify]: Extracting #1: cost 10 inf + 0 50.000 * * [simplify]: Extracting #2: cost 18 inf + 1 50.000 * * [simplify]: Extracting #3: cost 34 inf + 84 50.001 * * [simplify]: Extracting #4: cost 48 inf + 167 50.001 * * [simplify]: Extracting #5: cost 41 inf + 1138 50.004 * * [simplify]: Extracting #6: cost 5 inf + 10682 50.007 * * [simplify]: Extracting #7: cost 0 inf + 11813 50.010 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 50.010 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (sqrt a1))) (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 50.010 * * * * [progress]: [ 143 / 614 ] simplifiying candidate # 50.011 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) 1)) 50.011 * * [simplify]: iters left: 6 (17 enodes) 50.017 * * [simplify]: iters left: 5 (60 enodes) 50.027 * * [simplify]: iters left: 4 (94 enodes) 50.053 * * [simplify]: iters left: 3 (153 enodes) 50.082 * * [simplify]: iters left: 2 (206 enodes) 50.140 * * [simplify]: iters left: 1 (270 enodes) 50.220 * * [simplify]: Extracting #0: cost 1 inf + 0 50.220 * * [simplify]: Extracting #1: cost 6 inf + 0 50.220 * * [simplify]: Extracting #2: cost 9 inf + 1 50.220 * * [simplify]: Extracting #3: cost 28 inf + 1 50.220 * * [simplify]: Extracting #4: cost 47 inf + 2 50.221 * * [simplify]: Extracting #5: cost 46 inf + 125 50.221 * * [simplify]: Extracting #6: cost 35 inf + 1502 50.222 * * [simplify]: Extracting #7: cost 5 inf + 9497 50.225 * * [simplify]: Extracting #8: cost 0 inf + 10950 50.230 * [simplify]: Simplified to (* (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) 50.230 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 50.231 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 50.231 * * [simplify]: iters left: 6 (14 enodes) 50.238 * * [simplify]: iters left: 5 (51 enodes) 50.256 * * [simplify]: iters left: 4 (86 enodes) 50.284 * * [simplify]: iters left: 3 (143 enodes) 50.334 * * [simplify]: iters left: 2 (190 enodes) 50.407 * * [simplify]: iters left: 1 (257 enodes) 50.506 * * [simplify]: Extracting #0: cost 1 inf + 0 50.506 * * [simplify]: Extracting #1: cost 11 inf + 0 50.506 * * [simplify]: Extracting #2: cost 16 inf + 2 50.506 * * [simplify]: Extracting #3: cost 34 inf + 2 50.506 * * [simplify]: Extracting #4: cost 49 inf + 44 50.507 * * [simplify]: Extracting #5: cost 42 inf + 752 50.508 * * [simplify]: Extracting #6: cost 15 inf + 7375 50.512 * * [simplify]: Extracting #7: cost 0 inf + 11833 50.515 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 50.515 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 50.515 * * * * [progress]: [ 144 / 614 ] simplifiying candidate # 50.516 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 50.516 * * [simplify]: iters left: 6 (19 enodes) 50.525 * * [simplify]: iters left: 5 (70 enodes) 50.547 * * [simplify]: iters left: 4 (121 enodes) 50.575 * * [simplify]: iters left: 3 (214 enodes) 50.614 * * [simplify]: iters left: 2 (313 enodes) 50.674 * * [simplify]: iters left: 1 (404 enodes) 50.836 * * [simplify]: Extracting #0: cost 1 inf + 0 50.836 * * [simplify]: Extracting #1: cost 25 inf + 0 50.836 * * [simplify]: Extracting #2: cost 51 inf + 0 50.837 * * [simplify]: Extracting #3: cost 69 inf + 203 50.837 * * [simplify]: Extracting #4: cost 87 inf + 406 50.838 * * [simplify]: Extracting #5: cost 78 inf + 1219 50.841 * * [simplify]: Extracting #6: cost 42 inf + 9070 50.849 * * [simplify]: Extracting #7: cost 15 inf + 22324 50.861 * * [simplify]: Extracting #8: cost 0 inf + 31349 50.869 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1)) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1))) (cbrt (sqrt (sqrt 2)))) 50.869 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1)) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt a1))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 50.870 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 50.870 * * [simplify]: iters left: 6 (17 enodes) 50.874 * * [simplify]: iters left: 5 (60 enodes) 50.885 * * [simplify]: iters left: 4 (95 enodes) 50.903 * * [simplify]: iters left: 3 (153 enodes) 50.940 * * [simplify]: iters left: 2 (202 enodes) 50.998 * * [simplify]: iters left: 1 (265 enodes) 51.094 * * [simplify]: Extracting #0: cost 1 inf + 0 51.094 * * [simplify]: Extracting #1: cost 8 inf + 0 51.094 * * [simplify]: Extracting #2: cost 17 inf + 0 51.094 * * [simplify]: Extracting #3: cost 35 inf + 163 51.095 * * [simplify]: Extracting #4: cost 55 inf + 164 51.095 * * [simplify]: Extracting #5: cost 39 inf + 2289 51.099 * * [simplify]: Extracting #6: cost 7 inf + 10157 51.103 * * [simplify]: Extracting #7: cost 0 inf + 12956 51.108 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 51.108 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 51.109 * * * * [progress]: [ 145 / 614 ] simplifiying candidate # 51.109 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 51.109 * * [simplify]: iters left: 6 (18 enodes) 51.118 * * [simplify]: iters left: 5 (65 enodes) 51.138 * * [simplify]: iters left: 4 (108 enodes) 51.156 * * [simplify]: iters left: 3 (181 enodes) 51.208 * * [simplify]: iters left: 2 (244 enodes) 51.292 * * [simplify]: iters left: 1 (306 enodes) 51.396 * * [simplify]: Extracting #0: cost 1 inf + 0 51.396 * * [simplify]: Extracting #1: cost 17 inf + 0 51.396 * * [simplify]: Extracting #2: cost 34 inf + 0 51.396 * * [simplify]: Extracting #3: cost 53 inf + 42 51.396 * * [simplify]: Extracting #4: cost 72 inf + 84 51.397 * * [simplify]: Extracting #5: cost 60 inf + 1400 51.399 * * [simplify]: Extracting #6: cost 17 inf + 13998 51.402 * * [simplify]: Extracting #7: cost 0 inf + 21585 51.407 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) 51.407 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 51.407 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 51.407 * * [simplify]: iters left: 6 (17 enodes) 51.411 * * [simplify]: iters left: 5 (60 enodes) 51.424 * * [simplify]: iters left: 4 (95 enodes) 51.441 * * [simplify]: iters left: 3 (153 enodes) 51.471 * * [simplify]: iters left: 2 (202 enodes) 51.547 * * [simplify]: iters left: 1 (265 enodes) 51.640 * * [simplify]: Extracting #0: cost 1 inf + 0 51.640 * * [simplify]: Extracting #1: cost 8 inf + 0 51.640 * * [simplify]: Extracting #2: cost 17 inf + 0 51.640 * * [simplify]: Extracting #3: cost 35 inf + 83 51.640 * * [simplify]: Extracting #4: cost 55 inf + 84 51.641 * * [simplify]: Extracting #5: cost 39 inf + 2209 51.643 * * [simplify]: Extracting #6: cost 7 inf + 9917 51.648 * * [simplify]: Extracting #7: cost 0 inf + 12636 51.653 * [simplify]: Simplified to (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 51.653 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 51.654 * * * * [progress]: [ 146 / 614 ] simplifiying candidate # 51.654 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 51.654 * * [simplify]: iters left: 6 (17 enodes) 51.663 * * [simplify]: iters left: 5 (60 enodes) 51.677 * * [simplify]: iters left: 4 (96 enodes) 51.694 * * [simplify]: iters left: 3 (159 enodes) 51.732 * * [simplify]: iters left: 2 (215 enodes) 51.793 * * [simplify]: iters left: 1 (283 enodes) 51.877 * * [simplify]: Extracting #0: cost 1 inf + 0 51.877 * * [simplify]: Extracting #1: cost 9 inf + 0 51.877 * * [simplify]: Extracting #2: cost 16 inf + 1 51.877 * * [simplify]: Extracting #3: cost 37 inf + 1 51.877 * * [simplify]: Extracting #4: cost 57 inf + 2 51.877 * * [simplify]: Extracting #5: cost 45 inf + 1137 51.878 * * [simplify]: Extracting #6: cost 23 inf + 5300 51.880 * * [simplify]: Extracting #7: cost 4 inf + 11870 51.883 * * [simplify]: Extracting #8: cost 0 inf + 14162 51.886 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) 51.886 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 51.887 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 51.887 * * [simplify]: iters left: 6 (16 enodes) 51.892 * * [simplify]: iters left: 5 (57 enodes) 51.903 * * [simplify]: iters left: 4 (92 enodes) 51.934 * * [simplify]: iters left: 3 (150 enodes) 51.966 * * [simplify]: iters left: 2 (200 enodes) 52.033 * * [simplify]: iters left: 1 (257 enodes) 52.111 * * [simplify]: Extracting #0: cost 1 inf + 0 52.111 * * [simplify]: Extracting #1: cost 8 inf + 0 52.111 * * [simplify]: Extracting #2: cost 14 inf + 1 52.111 * * [simplify]: Extracting #3: cost 35 inf + 1 52.112 * * [simplify]: Extracting #4: cost 54 inf + 2 52.112 * * [simplify]: Extracting #5: cost 45 inf + 752 52.113 * * [simplify]: Extracting #6: cost 12 inf + 8504 52.118 * * [simplify]: Extracting #7: cost 0 inf + 12112 52.123 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1)) 52.123 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 52.123 * * * * [progress]: [ 147 / 614 ] simplifiying candidate # 52.124 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 52.124 * * [simplify]: iters left: 6 (18 enodes) 52.131 * * [simplify]: iters left: 5 (67 enodes) 52.143 * * [simplify]: iters left: 4 (119 enodes) 52.173 * * [simplify]: iters left: 3 (229 enodes) 52.259 * * [simplify]: iters left: 2 (339 enodes) 52.365 * * [simplify]: iters left: 1 (494 enodes) 52.545 * * [simplify]: Extracting #0: cost 1 inf + 0 52.545 * * [simplify]: Extracting #1: cost 17 inf + 0 52.545 * * [simplify]: Extracting #2: cost 32 inf + 1 52.545 * * [simplify]: Extracting #3: cost 42 inf + 812 52.545 * * [simplify]: Extracting #4: cost 60 inf + 974 52.546 * * [simplify]: Extracting #5: cost 60 inf + 1036 52.546 * * [simplify]: Extracting #6: cost 57 inf + 1200 52.547 * * [simplify]: Extracting #7: cost 46 inf + 3102 52.550 * * [simplify]: Extracting #8: cost 9 inf + 15399 52.555 * * [simplify]: Extracting #9: cost 1 inf + 18865 52.566 * * [simplify]: Extracting #10: cost 0 inf + 19408 52.577 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 52.577 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 52.577 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 52.577 * * [simplify]: iters left: 6 (15 enodes) 52.585 * * [simplify]: iters left: 5 (54 enodes) 52.603 * * [simplify]: iters left: 4 (89 enodes) 52.632 * * [simplify]: iters left: 3 (147 enodes) 52.682 * * [simplify]: iters left: 2 (200 enodes) 52.731 * * [simplify]: iters left: 1 (264 enodes) 52.819 * * [simplify]: Extracting #0: cost 1 inf + 0 52.819 * * [simplify]: Extracting #1: cost 10 inf + 0 52.820 * * [simplify]: Extracting #2: cost 18 inf + 1 52.820 * * [simplify]: Extracting #3: cost 34 inf + 164 52.820 * * [simplify]: Extracting #4: cost 48 inf + 247 52.820 * * [simplify]: Extracting #5: cost 41 inf + 1218 52.822 * * [simplify]: Extracting #6: cost 5 inf + 10962 52.825 * * [simplify]: Extracting #7: cost 0 inf + 12133 52.827 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 52.827 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 52.827 * * * * [progress]: [ 148 / 614 ] simplifiying candidate # 52.828 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (sqrt a1))) 52.828 * * [simplify]: iters left: 6 (17 enodes) 52.833 * * [simplify]: iters left: 5 (62 enodes) 52.846 * * [simplify]: iters left: 4 (103 enodes) 52.879 * * [simplify]: iters left: 3 (181 enodes) 52.923 * * [simplify]: iters left: 2 (244 enodes) 53.009 * * [simplify]: iters left: 1 (342 enodes) 53.106 * * [simplify]: Extracting #0: cost 1 inf + 0 53.106 * * [simplify]: Extracting #1: cost 11 inf + 0 53.106 * * [simplify]: Extracting #2: cost 20 inf + 1 53.106 * * [simplify]: Extracting #3: cost 34 inf + 166 53.106 * * [simplify]: Extracting #4: cost 53 inf + 248 53.107 * * [simplify]: Extracting #5: cost 53 inf + 310 53.107 * * [simplify]: Extracting #6: cost 43 inf + 1405 53.109 * * [simplify]: Extracting #7: cost 7 inf + 11836 53.112 * * [simplify]: Extracting #8: cost 0 inf + 14136 53.115 * [simplify]: Simplified to (* (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) 53.115 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 53.116 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 53.116 * * [simplify]: iters left: 6 (15 enodes) 53.121 * * [simplify]: iters left: 5 (54 enodes) 53.139 * * [simplify]: iters left: 4 (89 enodes) 53.155 * * [simplify]: iters left: 3 (147 enodes) 53.183 * * [simplify]: iters left: 2 (200 enodes) 53.235 * * [simplify]: iters left: 1 (264 enodes) 53.328 * * [simplify]: Extracting #0: cost 1 inf + 0 53.328 * * [simplify]: Extracting #1: cost 10 inf + 0 53.328 * * [simplify]: Extracting #2: cost 18 inf + 1 53.328 * * [simplify]: Extracting #3: cost 34 inf + 84 53.328 * * [simplify]: Extracting #4: cost 48 inf + 167 53.329 * * [simplify]: Extracting #5: cost 41 inf + 1138 53.330 * * [simplify]: Extracting #6: cost 5 inf + 10682 53.334 * * [simplify]: Extracting #7: cost 0 inf + 11813 53.337 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 53.337 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (sqrt a1))) (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 53.337 * * * * [progress]: [ 149 / 614 ] simplifiying candidate # 53.337 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) 1)) 53.338 * * [simplify]: iters left: 6 (16 enodes) 53.344 * * [simplify]: iters left: 5 (57 enodes) 53.357 * * [simplify]: iters left: 4 (91 enodes) 53.372 * * [simplify]: iters left: 3 (150 enodes) 53.404 * * [simplify]: iters left: 2 (206 enodes) 53.446 * * [simplify]: iters left: 1 (270 enodes) 53.535 * * [simplify]: Extracting #0: cost 1 inf + 0 53.535 * * [simplify]: Extracting #1: cost 6 inf + 0 53.535 * * [simplify]: Extracting #2: cost 9 inf + 1 53.535 * * [simplify]: Extracting #3: cost 28 inf + 1 53.536 * * [simplify]: Extracting #4: cost 47 inf + 2 53.536 * * [simplify]: Extracting #5: cost 47 inf + 64 53.537 * * [simplify]: Extracting #6: cost 37 inf + 1037 53.539 * * [simplify]: Extracting #7: cost 10 inf + 8083 53.544 * * [simplify]: Extracting #8: cost 0 inf + 10950 53.549 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 53.549 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 53.550 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 53.550 * * [simplify]: iters left: 6 (14 enodes) 53.556 * * [simplify]: iters left: 5 (51 enodes) 53.565 * * [simplify]: iters left: 4 (86 enodes) 53.582 * * [simplify]: iters left: 3 (143 enodes) 53.628 * * [simplify]: iters left: 2 (190 enodes) 53.705 * * [simplify]: iters left: 1 (257 enodes) 53.813 * * [simplify]: Extracting #0: cost 1 inf + 0 53.813 * * [simplify]: Extracting #1: cost 11 inf + 0 53.813 * * [simplify]: Extracting #2: cost 16 inf + 2 53.813 * * [simplify]: Extracting #3: cost 34 inf + 2 53.813 * * [simplify]: Extracting #4: cost 49 inf + 44 53.813 * * [simplify]: Extracting #5: cost 42 inf + 752 53.814 * * [simplify]: Extracting #6: cost 15 inf + 7375 53.817 * * [simplify]: Extracting #7: cost 0 inf + 11833 53.819 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 53.819 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 53.819 * * * * [progress]: [ 150 / 614 ] simplifiying candidate # 53.820 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 53.820 * * [simplify]: iters left: 6 (19 enodes) 53.828 * * [simplify]: iters left: 5 (74 enodes) 53.854 * * [simplify]: iters left: 4 (150 enodes) 53.906 * * [simplify]: iters left: 3 (313 enodes) 54.039 * * [simplify]: Extracting #0: cost 1 inf + 0 54.039 * * [simplify]: Extracting #1: cost 40 inf + 0 54.040 * * [simplify]: Extracting #2: cost 89 inf + 0 54.040 * * [simplify]: Extracting #3: cost 102 inf + 284 54.041 * * [simplify]: Extracting #4: cost 119 inf + 406 54.042 * * [simplify]: Extracting #5: cost 106 inf + 1988 54.050 * * [simplify]: Extracting #6: cost 46 inf + 25232 54.069 * * [simplify]: Extracting #7: cost 2 inf + 50780 54.090 * * [simplify]: Extracting #8: cost 0 inf + 51786 54.112 * [simplify]: Simplified to (* (* (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 54.113 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 54.113 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 54.113 * * [simplify]: iters left: 6 (16 enodes) 54.121 * * [simplify]: iters left: 5 (57 enodes) 54.140 * * [simplify]: iters left: 4 (92 enodes) 54.163 * * [simplify]: iters left: 3 (150 enodes) 54.197 * * [simplify]: iters left: 2 (200 enodes) 54.259 * * [simplify]: iters left: 1 (257 enodes) 54.363 * * [simplify]: Extracting #0: cost 1 inf + 0 54.363 * * [simplify]: Extracting #1: cost 8 inf + 0 54.363 * * [simplify]: Extracting #2: cost 17 inf + 0 54.363 * * [simplify]: Extracting #3: cost 35 inf + 82 54.363 * * [simplify]: Extracting #4: cost 52 inf + 164 54.364 * * [simplify]: Extracting #5: cost 43 inf + 914 54.367 * * [simplify]: Extracting #6: cost 11 inf + 8945 54.373 * * [simplify]: Extracting #7: cost 0 inf + 12592 54.378 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 54.378 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 54.379 * * * * [progress]: [ 151 / 614 ] simplifiying candidate # 54.379 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 54.379 * * [simplify]: iters left: 6 (18 enodes) 54.388 * * [simplify]: iters left: 5 (67 enodes) 54.403 * * [simplify]: iters left: 4 (121 enodes) 54.426 * * [simplify]: iters left: 3 (234 enodes) 54.480 * * [simplify]: iters left: 2 (339 enodes) 54.567 * * [simplify]: iters left: 1 (436 enodes) 54.749 * * [simplify]: Extracting #0: cost 1 inf + 0 54.750 * * [simplify]: Extracting #1: cost 26 inf + 0 54.750 * * [simplify]: Extracting #2: cost 53 inf + 0 54.750 * * [simplify]: Extracting #3: cost 71 inf + 42 54.751 * * [simplify]: Extracting #4: cost 88 inf + 84 54.752 * * [simplify]: Extracting #5: cost 79 inf + 754 54.757 * * [simplify]: Extracting #6: cost 32 inf + 16387 54.771 * * [simplify]: Extracting #7: cost 3 inf + 28842 54.785 * * [simplify]: Extracting #8: cost 0 inf + 30130 54.800 * [simplify]: Simplified to (/ (sqrt a1) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))))) 54.800 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 54.800 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 54.801 * * [simplify]: iters left: 6 (16 enodes) 54.809 * * [simplify]: iters left: 5 (57 enodes) 54.821 * * [simplify]: iters left: 4 (92 enodes) 54.836 * * [simplify]: iters left: 3 (150 enodes) 54.876 * * [simplify]: iters left: 2 (200 enodes) 54.929 * * [simplify]: iters left: 1 (257 enodes) 55.013 * * [simplify]: Extracting #0: cost 1 inf + 0 55.013 * * [simplify]: Extracting #1: cost 8 inf + 0 55.013 * * [simplify]: Extracting #2: cost 17 inf + 0 55.014 * * [simplify]: Extracting #3: cost 35 inf + 42 55.014 * * [simplify]: Extracting #4: cost 52 inf + 84 55.015 * * [simplify]: Extracting #5: cost 43 inf + 834 55.017 * * [simplify]: Extracting #6: cost 11 inf + 8745 55.021 * * [simplify]: Extracting #7: cost 0 inf + 12272 55.026 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 55.026 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 55.026 * * * * [progress]: [ 152 / 614 ] simplifiying candidate # 55.027 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 55.027 * * [simplify]: iters left: 6 (17 enodes) 55.035 * * [simplify]: iters left: 5 (62 enodes) 55.048 * * [simplify]: iters left: 4 (115 enodes) 55.070 * * [simplify]: iters left: 3 (204 enodes) 55.112 * * [simplify]: iters left: 2 (291 enodes) 55.183 * * [simplify]: iters left: 1 (377 enodes) 55.324 * * [simplify]: Extracting #0: cost 1 inf + 0 55.324 * * [simplify]: Extracting #1: cost 16 inf + 0 55.324 * * [simplify]: Extracting #2: cost 30 inf + 1 55.325 * * [simplify]: Extracting #3: cost 50 inf + 1 55.325 * * [simplify]: Extracting #4: cost 68 inf + 2 55.326 * * [simplify]: Extracting #5: cost 53 inf + 2083 55.330 * * [simplify]: Extracting #6: cost 16 inf + 12347 55.334 * * [simplify]: Extracting #7: cost 1 inf + 18889 55.339 * * [simplify]: Extracting #8: cost 0 inf + 19432 55.344 * [simplify]: Simplified to (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 55.344 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 55.344 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 55.344 * * [simplify]: iters left: 6 (15 enodes) 55.348 * * [simplify]: iters left: 5 (54 enodes) 55.359 * * [simplify]: iters left: 4 (89 enodes) 55.387 * * [simplify]: iters left: 3 (147 enodes) 55.411 * * [simplify]: iters left: 2 (197 enodes) 55.472 * * [simplify]: iters left: 1 (254 enodes) 55.553 * * [simplify]: Extracting #0: cost 1 inf + 0 55.553 * * [simplify]: Extracting #1: cost 8 inf + 0 55.553 * * [simplify]: Extracting #2: cost 14 inf + 1 55.553 * * [simplify]: Extracting #3: cost 34 inf + 1 55.554 * * [simplify]: Extracting #4: cost 52 inf + 2 55.554 * * [simplify]: Extracting #5: cost 40 inf + 1380 55.557 * * [simplify]: Extracting #6: cost 4 inf + 10982 55.563 * * [simplify]: Extracting #7: cost 0 inf + 11950 55.567 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1) 55.567 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 55.568 * * * * [progress]: [ 153 / 614 ] simplifiying candidate # 55.568 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 55.568 * * [simplify]: iters left: 6 (18 enodes) 55.577 * * [simplify]: iters left: 5 (67 enodes) 55.600 * * [simplify]: iters left: 4 (118 enodes) 55.620 * * [simplify]: iters left: 3 (211 enodes) 55.658 * * [simplify]: iters left: 2 (309 enodes) 55.750 * * [simplify]: iters left: 1 (400 enodes) 55.872 * * [simplify]: Extracting #0: cost 1 inf + 0 55.872 * * [simplify]: Extracting #1: cost 25 inf + 0 55.873 * * [simplify]: Extracting #2: cost 51 inf + 0 55.873 * * [simplify]: Extracting #3: cost 68 inf + 203 55.873 * * [simplify]: Extracting #4: cost 85 inf + 406 55.874 * * [simplify]: Extracting #5: cost 75 inf + 1278 55.875 * * [simplify]: Extracting #6: cost 50 inf + 6307 55.879 * * [simplify]: Extracting #7: cost 12 inf + 22972 55.885 * * [simplify]: Extracting #8: cost 1 inf + 28764 55.892 * * [simplify]: Extracting #9: cost 0 inf + 29347 55.905 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (sqrt (cbrt (sqrt 2)))) 55.905 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 55.906 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 55.906 * * [simplify]: iters left: 6 (16 enodes) 55.916 * * [simplify]: iters left: 5 (57 enodes) 55.925 * * [simplify]: iters left: 4 (92 enodes) 55.941 * * [simplify]: iters left: 3 (150 enodes) 55.966 * * [simplify]: iters left: 2 (200 enodes) 56.005 * * [simplify]: iters left: 1 (257 enodes) 56.070 * * [simplify]: Extracting #0: cost 1 inf + 0 56.070 * * [simplify]: Extracting #1: cost 8 inf + 0 56.070 * * [simplify]: Extracting #2: cost 17 inf + 0 56.070 * * [simplify]: Extracting #3: cost 35 inf + 82 56.070 * * [simplify]: Extracting #4: cost 52 inf + 164 56.070 * * [simplify]: Extracting #5: cost 43 inf + 914 56.072 * * [simplify]: Extracting #6: cost 11 inf + 8745 56.074 * * [simplify]: Extracting #7: cost 0 inf + 12272 56.076 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 56.076 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 56.077 * * * * [progress]: [ 154 / 614 ] simplifiying candidate # 56.077 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 56.077 * * [simplify]: iters left: 6 (17 enodes) 56.082 * * [simplify]: iters left: 5 (62 enodes) 56.093 * * [simplify]: iters left: 4 (105 enodes) 56.115 * * [simplify]: iters left: 3 (178 enodes) 56.173 * * [simplify]: iters left: 2 (242 enodes) 56.221 * * [simplify]: iters left: 1 (316 enodes) 56.368 * * [simplify]: Extracting #0: cost 1 inf + 0 56.368 * * [simplify]: Extracting #1: cost 17 inf + 0 56.368 * * [simplify]: Extracting #2: cost 34 inf + 0 56.368 * * [simplify]: Extracting #3: cost 52 inf + 42 56.369 * * [simplify]: Extracting #4: cost 70 inf + 84 56.370 * * [simplify]: Extracting #5: cost 60 inf + 1298 56.373 * * [simplify]: Extracting #6: cost 23 inf + 11081 56.381 * * [simplify]: Extracting #7: cost 4 inf + 18432 56.389 * * [simplify]: Extracting #8: cost 0 inf + 20223 56.397 * [simplify]: Simplified to (* (/ (* (sqrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) 56.397 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (sqrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (sqrt (cbrt (sqrt 2)))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 56.398 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 56.398 * * [simplify]: iters left: 6 (16 enodes) 56.406 * * [simplify]: iters left: 5 (57 enodes) 56.425 * * [simplify]: iters left: 4 (92 enodes) 56.454 * * [simplify]: iters left: 3 (150 enodes) 56.480 * * [simplify]: iters left: 2 (200 enodes) 56.535 * * [simplify]: iters left: 1 (257 enodes) 56.609 * * [simplify]: Extracting #0: cost 1 inf + 0 56.609 * * [simplify]: Extracting #1: cost 8 inf + 0 56.609 * * [simplify]: Extracting #2: cost 17 inf + 0 56.609 * * [simplify]: Extracting #3: cost 35 inf + 42 56.610 * * [simplify]: Extracting #4: cost 52 inf + 84 56.610 * * [simplify]: Extracting #5: cost 43 inf + 834 56.611 * * [simplify]: Extracting #6: cost 11 inf + 8545 56.613 * * [simplify]: Extracting #7: cost 0 inf + 11952 56.616 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 56.616 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 56.616 * * * * [progress]: [ 155 / 614 ] simplifiying candidate # 56.616 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 56.616 * * [simplify]: iters left: 6 (16 enodes) 56.620 * * [simplify]: iters left: 5 (57 enodes) 56.634 * * [simplify]: iters left: 4 (93 enodes) 56.652 * * [simplify]: iters left: 3 (156 enodes) 56.687 * * [simplify]: iters left: 2 (212 enodes) 56.753 * * [simplify]: iters left: 1 (274 enodes) 56.865 * * [simplify]: Extracting #0: cost 1 inf + 0 56.865 * * [simplify]: Extracting #1: cost 9 inf + 0 56.865 * * [simplify]: Extracting #2: cost 16 inf + 1 56.865 * * [simplify]: Extracting #3: cost 36 inf + 1 56.866 * * [simplify]: Extracting #4: cost 54 inf + 2 56.866 * * [simplify]: Extracting #5: cost 44 inf + 993 56.869 * * [simplify]: Extracting #6: cost 10 inf + 9571 56.874 * * [simplify]: Extracting #7: cost 0 inf + 13158 56.880 * [simplify]: Simplified to (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 56.880 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 56.881 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 56.883 * * [simplify]: iters left: 6 (15 enodes) 56.891 * * [simplify]: iters left: 5 (54 enodes) 56.910 * * [simplify]: iters left: 4 (89 enodes) 56.931 * * [simplify]: iters left: 3 (147 enodes) 56.955 * * [simplify]: iters left: 2 (197 enodes) 57.030 * * [simplify]: iters left: 1 (254 enodes) 57.098 * * [simplify]: Extracting #0: cost 1 inf + 0 57.098 * * [simplify]: Extracting #1: cost 8 inf + 0 57.098 * * [simplify]: Extracting #2: cost 14 inf + 1 57.099 * * [simplify]: Extracting #3: cost 34 inf + 1 57.099 * * [simplify]: Extracting #4: cost 52 inf + 2 57.099 * * [simplify]: Extracting #5: cost 40 inf + 1380 57.101 * * [simplify]: Extracting #6: cost 4 inf + 10702 57.103 * * [simplify]: Extracting #7: cost 0 inf + 11630 57.105 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (sqrt (cbrt (sqrt 2)))) a1) 57.106 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (sqrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 57.106 * * * * [progress]: [ 156 / 614 ] simplifiying candidate # 57.106 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 57.106 * * [simplify]: iters left: 6 (17 enodes) 57.115 * * [simplify]: iters left: 5 (64 enodes) 57.137 * * [simplify]: iters left: 4 (111 enodes) 57.177 * * [simplify]: iters left: 3 (211 enodes) 57.251 * * [simplify]: iters left: 2 (306 enodes) 57.320 * * [simplify]: iters left: 1 (450 enodes) 57.472 * * [simplify]: Extracting #0: cost 1 inf + 0 57.472 * * [simplify]: Extracting #1: cost 17 inf + 0 57.472 * * [simplify]: Extracting #2: cost 32 inf + 1 57.472 * * [simplify]: Extracting #3: cost 48 inf + 83 57.473 * * [simplify]: Extracting #4: cost 61 inf + 853 57.473 * * [simplify]: Extracting #5: cost 60 inf + 1036 57.474 * * [simplify]: Extracting #6: cost 47 inf + 2878 57.479 * * [simplify]: Extracting #7: cost 13 inf + 13926 57.488 * * [simplify]: Extracting #8: cost 1 inf + 18864 57.498 * * [simplify]: Extracting #9: cost 0 inf + 19408 57.505 * [simplify]: Simplified to (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) 57.505 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 57.506 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 57.506 * * [simplify]: iters left: 6 (15 enodes) 57.510 * * [simplify]: iters left: 5 (54 enodes) 57.519 * * [simplify]: iters left: 4 (89 enodes) 57.534 * * [simplify]: iters left: 3 (147 enodes) 57.575 * * [simplify]: iters left: 2 (200 enodes) 57.652 * * [simplify]: iters left: 1 (264 enodes) 57.783 * * [simplify]: Extracting #0: cost 1 inf + 0 57.783 * * [simplify]: Extracting #1: cost 10 inf + 0 57.783 * * [simplify]: Extracting #2: cost 18 inf + 1 57.783 * * [simplify]: Extracting #3: cost 34 inf + 164 57.784 * * [simplify]: Extracting #4: cost 48 inf + 247 57.784 * * [simplify]: Extracting #5: cost 41 inf + 1218 57.789 * * [simplify]: Extracting #6: cost 5 inf + 10962 57.794 * * [simplify]: Extracting #7: cost 0 inf + 12133 57.799 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 57.800 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 57.800 * * * * [progress]: [ 157 / 614 ] simplifiying candidate # 57.800 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (sqrt a1))) 57.801 * * [simplify]: iters left: 6 (16 enodes) 57.809 * * [simplify]: iters left: 5 (59 enodes) 57.830 * * [simplify]: iters left: 4 (98 enodes) 57.847 * * [simplify]: iters left: 3 (176 enodes) 57.884 * * [simplify]: iters left: 2 (236 enodes) 57.948 * * [simplify]: iters left: 1 (327 enodes) 58.082 * * [simplify]: Extracting #0: cost 1 inf + 0 58.082 * * [simplify]: Extracting #1: cost 11 inf + 0 58.083 * * [simplify]: Extracting #2: cost 20 inf + 1 58.083 * * [simplify]: Extracting #3: cost 33 inf + 248 58.083 * * [simplify]: Extracting #4: cost 53 inf + 248 58.084 * * [simplify]: Extracting #5: cost 53 inf + 310 58.085 * * [simplify]: Extracting #6: cost 45 inf + 1122 58.088 * * [simplify]: Extracting #7: cost 12 inf + 9779 58.094 * * [simplify]: Extracting #8: cost 0 inf + 14136 58.101 * [simplify]: Simplified to (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt a1))) 58.101 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 58.102 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 58.102 * * [simplify]: iters left: 6 (15 enodes) 58.110 * * [simplify]: iters left: 5 (54 enodes) 58.128 * * [simplify]: iters left: 4 (89 enodes) 58.142 * * [simplify]: iters left: 3 (147 enodes) 58.173 * * [simplify]: iters left: 2 (200 enodes) 58.220 * * [simplify]: iters left: 1 (264 enodes) 58.323 * * [simplify]: Extracting #0: cost 1 inf + 0 58.323 * * [simplify]: Extracting #1: cost 10 inf + 0 58.323 * * [simplify]: Extracting #2: cost 18 inf + 1 58.323 * * [simplify]: Extracting #3: cost 34 inf + 84 58.323 * * [simplify]: Extracting #4: cost 48 inf + 167 58.324 * * [simplify]: Extracting #5: cost 41 inf + 1138 58.326 * * [simplify]: Extracting #6: cost 5 inf + 10682 58.329 * * [simplify]: Extracting #7: cost 0 inf + 11813 58.332 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 58.332 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (sqrt a1))) (* (sqrt a1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 58.332 * * * * [progress]: [ 158 / 614 ] simplifiying candidate # 58.332 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 1)) 58.332 * * [simplify]: iters left: 6 (15 enodes) 58.336 * * [simplify]: iters left: 5 (52 enodes) 58.348 * * [simplify]: iters left: 4 (86 enodes) 58.366 * * [simplify]: iters left: 3 (142 enodes) 58.395 * * [simplify]: iters left: 2 (191 enodes) 58.455 * * [simplify]: iters left: 1 (254 enodes) 58.537 * * [simplify]: Extracting #0: cost 1 inf + 0 58.537 * * [simplify]: Extracting #1: cost 5 inf + 0 58.537 * * [simplify]: Extracting #2: cost 7 inf + 1 58.537 * * [simplify]: Extracting #3: cost 26 inf + 1 58.537 * * [simplify]: Extracting #4: cost 44 inf + 2 58.538 * * [simplify]: Extracting #5: cost 43 inf + 125 58.538 * * [simplify]: Extracting #6: cost 30 inf + 2088 58.539 * * [simplify]: Extracting #7: cost 5 inf + 8305 58.542 * * [simplify]: Extracting #8: cost 0 inf + 9820 58.544 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) 58.544 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 58.544 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 58.544 * * [simplify]: iters left: 6 (14 enodes) 58.548 * * [simplify]: iters left: 5 (51 enodes) 58.557 * * [simplify]: iters left: 4 (86 enodes) 58.575 * * [simplify]: iters left: 3 (143 enodes) 58.626 * * [simplify]: iters left: 2 (190 enodes) 58.665 * * [simplify]: iters left: 1 (257 enodes) 58.757 * * [simplify]: Extracting #0: cost 1 inf + 0 58.757 * * [simplify]: Extracting #1: cost 11 inf + 0 58.757 * * [simplify]: Extracting #2: cost 16 inf + 2 58.758 * * [simplify]: Extracting #3: cost 34 inf + 2 58.758 * * [simplify]: Extracting #4: cost 49 inf + 44 58.758 * * [simplify]: Extracting #5: cost 42 inf + 752 58.759 * * [simplify]: Extracting #6: cost 15 inf + 7375 58.761 * * [simplify]: Extracting #7: cost 0 inf + 11833 58.765 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 58.765 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 1)) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 58.766 * * * * [progress]: [ 159 / 614 ] simplifiying candidate # 58.766 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 58.766 * * [simplify]: iters left: 6 (14 enodes) 58.770 * * [simplify]: iters left: 5 (49 enodes) 58.779 * * [simplify]: iters left: 4 (86 enodes) 58.794 * * [simplify]: iters left: 3 (141 enodes) 58.816 * * [simplify]: iters left: 2 (190 enodes) 58.870 * * [simplify]: iters left: 1 (253 enodes) 58.951 * * [simplify]: Extracting #0: cost 1 inf + 0 58.951 * * [simplify]: Extracting #1: cost 5 inf + 0 58.951 * * [simplify]: Extracting #2: cost 7 inf + 1 58.951 * * [simplify]: Extracting #3: cost 26 inf + 1 58.952 * * [simplify]: Extracting #4: cost 44 inf + 2 58.952 * * [simplify]: Extracting #5: cost 44 inf + 64 58.953 * * [simplify]: Extracting #6: cost 34 inf + 1240 58.955 * * [simplify]: Extracting #7: cost 10 inf + 7176 58.959 * * [simplify]: Extracting #8: cost 0 inf + 9820 58.963 * [simplify]: Simplified to (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 58.963 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 58.964 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 58.964 * * [simplify]: iters left: 6 (14 enodes) 58.968 * * [simplify]: iters left: 5 (51 enodes) 58.978 * * [simplify]: iters left: 4 (86 enodes) 58.992 * * [simplify]: iters left: 3 (143 enodes) 59.036 * * [simplify]: iters left: 2 (190 enodes) 59.087 * * [simplify]: iters left: 1 (257 enodes) 59.167 * * [simplify]: Extracting #0: cost 1 inf + 0 59.167 * * [simplify]: Extracting #1: cost 11 inf + 0 59.167 * * [simplify]: Extracting #2: cost 16 inf + 2 59.167 * * [simplify]: Extracting #3: cost 34 inf + 2 59.168 * * [simplify]: Extracting #4: cost 49 inf + 44 59.168 * * [simplify]: Extracting #5: cost 42 inf + 752 59.169 * * [simplify]: Extracting #6: cost 15 inf + 7375 59.171 * * [simplify]: Extracting #7: cost 0 inf + 11833 59.174 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 59.174 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 59.174 * * * * [progress]: [ 160 / 614 ] simplifiying candidate # 59.174 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (cbrt (sqrt 2))) 59.175 * * [simplify]: iters left: 6 (14 enodes) 59.179 * * [simplify]: iters left: 5 (51 enodes) 59.195 * * [simplify]: iters left: 4 (85 enodes) 59.209 * * [simplify]: iters left: 3 (142 enodes) 59.233 * * [simplify]: iters left: 2 (198 enodes) 59.279 * * [simplify]: iters left: 1 (262 enodes) 59.379 * * [simplify]: Extracting #0: cost 1 inf + 0 59.380 * * [simplify]: Extracting #1: cost 9 inf + 0 59.380 * * [simplify]: Extracting #2: cost 15 inf + 1 59.380 * * [simplify]: Extracting #3: cost 35 inf + 1 59.380 * * [simplify]: Extracting #4: cost 50 inf + 44 59.380 * * [simplify]: Extracting #5: cost 41 inf + 1237 59.382 * * [simplify]: Extracting #6: cost 5 inf + 10542 59.384 * * [simplify]: Extracting #7: cost 0 inf + 12255 59.387 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (sqrt 2))) 59.387 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (sqrt 2))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 59.388 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1)) 59.388 * * [simplify]: iters left: 6 (14 enodes) 59.392 * * [simplify]: iters left: 5 (51 enodes) 59.401 * * [simplify]: iters left: 4 (82 enodes) 59.427 * * [simplify]: iters left: 3 (140 enodes) 59.454 * * [simplify]: iters left: 2 (189 enodes) 59.518 * * [simplify]: iters left: 1 (254 enodes) 59.629 * * [simplify]: Extracting #0: cost 1 inf + 0 59.629 * * [simplify]: Extracting #1: cost 7 inf + 0 59.629 * * [simplify]: Extracting #2: cost 8 inf + 44 59.629 * * [simplify]: Extracting #3: cost 25 inf + 86 59.629 * * [simplify]: Extracting #4: cost 44 inf + 86 59.629 * * [simplify]: Extracting #5: cost 44 inf + 148 59.630 * * [simplify]: Extracting #6: cost 32 inf + 1809 59.631 * * [simplify]: Extracting #7: cost 6 inf + 8350 59.633 * * [simplify]: Extracting #8: cost 0 inf + 9904 59.635 * [simplify]: Simplified to (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) 59.636 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (cbrt (sqrt 2))) (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 59.636 * * * * [progress]: [ 161 / 614 ] simplifiying candidate # 59.636 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 59.636 * * [simplify]: iters left: 6 (16 enodes) 59.640 * * [simplify]: iters left: 5 (57 enodes) 59.650 * * [simplify]: iters left: 4 (89 enodes) 59.679 * * [simplify]: iters left: 3 (142 enodes) 59.727 * * [simplify]: iters left: 2 (190 enodes) 59.775 * * [simplify]: iters left: 1 (247 enodes) 59.859 * * [simplify]: Extracting #0: cost 1 inf + 0 59.859 * * [simplify]: Extracting #1: cost 6 inf + 0 59.859 * * [simplify]: Extracting #2: cost 12 inf + 0 59.859 * * [simplify]: Extracting #3: cost 32 inf + 0 59.859 * * [simplify]: Extracting #4: cost 48 inf + 2 59.860 * * [simplify]: Extracting #5: cost 48 inf + 64 59.860 * * [simplify]: Extracting #6: cost 33 inf + 2107 59.861 * * [simplify]: Extracting #7: cost 9 inf + 8042 59.864 * * [simplify]: Extracting #8: cost 0 inf + 11186 59.866 * [simplify]: Simplified to (/ (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 59.866 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 59.866 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 59.866 * * [simplify]: iters left: 6 (15 enodes) 59.870 * * [simplify]: iters left: 5 (52 enodes) 59.881 * * [simplify]: iters left: 4 (82 enodes) 59.899 * * [simplify]: iters left: 3 (135 enodes) 59.943 * * [simplify]: iters left: 2 (181 enodes) 59.990 * * [simplify]: iters left: 1 (244 enodes) 60.068 * * [simplify]: Extracting #0: cost 1 inf + 0 60.068 * * [simplify]: Extracting #1: cost 4 inf + 0 60.068 * * [simplify]: Extracting #2: cost 8 inf + 0 60.068 * * [simplify]: Extracting #3: cost 28 inf + 0 60.068 * * [simplify]: Extracting #4: cost 45 inf + 2 60.069 * * [simplify]: Extracting #5: cost 45 inf + 64 60.069 * * [simplify]: Extracting #6: cost 28 inf + 2633 60.071 * * [simplify]: Extracting #7: cost 4 inf + 8769 60.073 * * [simplify]: Extracting #8: cost 0 inf + 9738 60.075 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1))) 60.075 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 60.075 * * * * [progress]: [ 162 / 614 ] simplifiying candidate # 60.075 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 60.076 * * [simplify]: iters left: 6 (15 enodes) 60.079 * * [simplify]: iters left: 5 (52 enodes) 60.088 * * [simplify]: iters left: 4 (82 enodes) 60.102 * * [simplify]: iters left: 3 (135 enodes) 60.143 * * [simplify]: iters left: 2 (181 enodes) 60.186 * * [simplify]: iters left: 1 (244 enodes) 60.252 * * [simplify]: Extracting #0: cost 1 inf + 0 60.252 * * [simplify]: Extracting #1: cost 4 inf + 0 60.252 * * [simplify]: Extracting #2: cost 8 inf + 0 60.252 * * [simplify]: Extracting #3: cost 28 inf + 0 60.252 * * [simplify]: Extracting #4: cost 45 inf + 2 60.252 * * [simplify]: Extracting #5: cost 45 inf + 64 60.253 * * [simplify]: Extracting #6: cost 28 inf + 2633 60.254 * * [simplify]: Extracting #7: cost 4 inf + 8649 60.256 * * [simplify]: Extracting #8: cost 0 inf + 9578 60.258 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 60.258 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 60.259 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 60.259 * * [simplify]: iters left: 6 (15 enodes) 60.266 * * [simplify]: iters left: 5 (52 enodes) 60.283 * * [simplify]: iters left: 4 (82 enodes) 60.309 * * [simplify]: iters left: 3 (135 enodes) 60.347 * * [simplify]: iters left: 2 (181 enodes) 60.393 * * [simplify]: iters left: 1 (244 enodes) 60.491 * * [simplify]: Extracting #0: cost 1 inf + 0 60.491 * * [simplify]: Extracting #1: cost 4 inf + 0 60.491 * * [simplify]: Extracting #2: cost 8 inf + 0 60.491 * * [simplify]: Extracting #3: cost 28 inf + 0 60.491 * * [simplify]: Extracting #4: cost 45 inf + 2 60.492 * * [simplify]: Extracting #5: cost 45 inf + 64 60.493 * * [simplify]: Extracting #6: cost 28 inf + 2633 60.495 * * [simplify]: Extracting #7: cost 4 inf + 8649 60.499 * * [simplify]: Extracting #8: cost 0 inf + 9578 60.502 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 60.502 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 60.502 * * * * [progress]: [ 163 / 614 ] simplifiying candidate # 60.503 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 60.503 * * [simplify]: iters left: 6 (17 enodes) 60.510 * * [simplify]: iters left: 5 (62 enodes) 60.521 * * [simplify]: iters left: 4 (103 enodes) 60.542 * * [simplify]: iters left: 3 (169 enodes) 60.574 * * [simplify]: iters left: 2 (228 enodes) 60.629 * * [simplify]: iters left: 1 (291 enodes) 60.709 * * [simplify]: Extracting #0: cost 1 inf + 0 60.709 * * [simplify]: Extracting #1: cost 14 inf + 0 60.709 * * [simplify]: Extracting #2: cost 29 inf + 0 60.709 * * [simplify]: Extracting #3: cost 46 inf + 82 60.710 * * [simplify]: Extracting #4: cost 62 inf + 285 60.710 * * [simplify]: Extracting #5: cost 61 inf + 468 60.712 * * [simplify]: Extracting #6: cost 43 inf + 3462 60.716 * * [simplify]: Extracting #7: cost 13 inf + 12029 60.723 * * [simplify]: Extracting #8: cost 0 inf + 18024 60.731 * [simplify]: Simplified to (* (cbrt a1) (/ (* (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 60.731 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (* (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 60.731 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 60.732 * * [simplify]: iters left: 6 (16 enodes) 60.740 * * [simplify]: iters left: 5 (57 enodes) 60.758 * * [simplify]: iters left: 4 (92 enodes) 60.788 * * [simplify]: iters left: 3 (150 enodes) 60.838 * * [simplify]: iters left: 2 (200 enodes) 60.913 * * [simplify]: iters left: 1 (257 enodes) 61.039 * * [simplify]: Extracting #0: cost 1 inf + 0 61.040 * * [simplify]: Extracting #1: cost 8 inf + 0 61.040 * * [simplify]: Extracting #2: cost 17 inf + 0 61.040 * * [simplify]: Extracting #3: cost 35 inf + 82 61.040 * * [simplify]: Extracting #4: cost 52 inf + 164 61.040 * * [simplify]: Extracting #5: cost 43 inf + 914 61.041 * * [simplify]: Extracting #6: cost 11 inf + 8785 61.044 * * [simplify]: Extracting #7: cost 0 inf + 12272 61.046 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 61.046 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 61.046 * * * * [progress]: [ 164 / 614 ] simplifiying candidate # 61.046 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 61.047 * * [simplify]: iters left: 6 (16 enodes) 61.051 * * [simplify]: iters left: 5 (57 enodes) 61.062 * * [simplify]: iters left: 4 (92 enodes) 61.088 * * [simplify]: iters left: 3 (150 enodes) 61.116 * * [simplify]: iters left: 2 (200 enodes) 61.160 * * [simplify]: iters left: 1 (257 enodes) 61.232 * * [simplify]: Extracting #0: cost 1 inf + 0 61.232 * * [simplify]: Extracting #1: cost 8 inf + 0 61.232 * * [simplify]: Extracting #2: cost 17 inf + 0 61.232 * * [simplify]: Extracting #3: cost 34 inf + 42 61.233 * * [simplify]: Extracting #4: cost 50 inf + 84 61.233 * * [simplify]: Extracting #5: cost 50 inf + 146 61.233 * * [simplify]: Extracting #6: cost 35 inf + 2370 61.235 * * [simplify]: Extracting #7: cost 8 inf + 9452 61.237 * * [simplify]: Extracting #8: cost 0 inf + 12112 61.242 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 61.242 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 61.243 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 61.243 * * [simplify]: iters left: 6 (16 enodes) 61.251 * * [simplify]: iters left: 5 (57 enodes) 61.271 * * [simplify]: iters left: 4 (92 enodes) 61.301 * * [simplify]: iters left: 3 (150 enodes) 61.352 * * [simplify]: iters left: 2 (200 enodes) 61.399 * * [simplify]: iters left: 1 (257 enodes) 61.524 * * [simplify]: Extracting #0: cost 1 inf + 0 61.524 * * [simplify]: Extracting #1: cost 8 inf + 0 61.524 * * [simplify]: Extracting #2: cost 17 inf + 0 61.525 * * [simplify]: Extracting #3: cost 35 inf + 42 61.525 * * [simplify]: Extracting #4: cost 52 inf + 84 61.525 * * [simplify]: Extracting #5: cost 43 inf + 834 61.526 * * [simplify]: Extracting #6: cost 11 inf + 8585 61.528 * * [simplify]: Extracting #7: cost 0 inf + 11952 61.531 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 61.531 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 61.531 * * * * [progress]: [ 165 / 614 ] simplifiying candidate # 61.531 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 61.531 * * [simplify]: iters left: 6 (15 enodes) 61.536 * * [simplify]: iters left: 5 (52 enodes) 61.545 * * [simplify]: iters left: 4 (84 enodes) 61.568 * * [simplify]: iters left: 3 (139 enodes) 61.594 * * [simplify]: iters left: 2 (190 enodes) 61.650 * * [simplify]: iters left: 1 (247 enodes) 61.717 * * [simplify]: Extracting #0: cost 1 inf + 0 61.717 * * [simplify]: Extracting #1: cost 5 inf + 0 61.717 * * [simplify]: Extracting #2: cost 8 inf + 1 61.717 * * [simplify]: Extracting #3: cost 27 inf + 1 61.717 * * [simplify]: Extracting #4: cost 45 inf + 2 61.717 * * [simplify]: Extracting #5: cost 45 inf + 64 61.718 * * [simplify]: Extracting #6: cost 35 inf + 1442 61.721 * * [simplify]: Extracting #7: cost 4 inf + 9214 61.725 * * [simplify]: Extracting #8: cost 0 inf + 9736 61.729 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 61.729 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 61.730 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 61.730 * * [simplify]: iters left: 6 (15 enodes) 61.738 * * [simplify]: iters left: 5 (54 enodes) 61.752 * * [simplify]: iters left: 4 (89 enodes) 61.768 * * [simplify]: iters left: 3 (147 enodes) 61.807 * * [simplify]: iters left: 2 (197 enodes) 61.860 * * [simplify]: iters left: 1 (254 enodes) 61.955 * * [simplify]: Extracting #0: cost 1 inf + 0 61.955 * * [simplify]: Extracting #1: cost 8 inf + 0 61.955 * * [simplify]: Extracting #2: cost 14 inf + 1 61.955 * * [simplify]: Extracting #3: cost 34 inf + 1 61.955 * * [simplify]: Extracting #4: cost 52 inf + 2 61.956 * * [simplify]: Extracting #5: cost 40 inf + 1380 61.960 * * [simplify]: Extracting #6: cost 4 inf + 10662 61.964 * * [simplify]: Extracting #7: cost 0 inf + 11630 61.969 * [simplify]: Simplified to (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1) 61.969 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 61.969 * * * * [progress]: [ 166 / 614 ] simplifiying candidate # 61.970 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 61.970 * * [simplify]: iters left: 6 (20 enodes) 61.980 * * [simplify]: iters left: 5 (72 enodes) 62.005 * * [simplify]: iters left: 4 (113 enodes) 62.042 * * [simplify]: iters left: 3 (179 enodes) 62.093 * * [simplify]: iters left: 2 (236 enodes) 62.154 * * [simplify]: iters left: 1 (305 enodes) 62.266 * * [simplify]: Extracting #0: cost 1 inf + 0 62.267 * * [simplify]: Extracting #1: cost 14 inf + 0 62.267 * * [simplify]: Extracting #2: cost 29 inf + 0 62.267 * * [simplify]: Extracting #3: cost 49 inf + 82 62.267 * * [simplify]: Extracting #4: cost 68 inf + 285 62.268 * * [simplify]: Extracting #5: cost 57 inf + 1398 62.272 * * [simplify]: Extracting #6: cost 13 inf + 12891 62.278 * * [simplify]: Extracting #7: cost 0 inf + 19428 62.285 * [simplify]: Simplified to (* (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt a1))) 62.285 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 62.286 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 62.286 * * [simplify]: iters left: 6 (18 enodes) 62.295 * * [simplify]: iters left: 5 (63 enodes) 62.317 * * [simplify]: iters left: 4 (98 enodes) 62.350 * * [simplify]: iters left: 3 (156 enodes) 62.396 * * [simplify]: iters left: 2 (206 enodes) 62.450 * * [simplify]: iters left: 1 (263 enodes) 62.577 * * [simplify]: Extracting #0: cost 1 inf + 0 62.577 * * [simplify]: Extracting #1: cost 8 inf + 0 62.577 * * [simplify]: Extracting #2: cost 17 inf + 0 62.578 * * [simplify]: Extracting #3: cost 36 inf + 82 62.578 * * [simplify]: Extracting #4: cost 55 inf + 164 62.579 * * [simplify]: Extracting #5: cost 43 inf + 1760 62.581 * * [simplify]: Extracting #6: cost 19 inf + 6527 62.585 * * [simplify]: Extracting #7: cost 2 inf + 11870 62.590 * * [simplify]: Extracting #8: cost 0 inf + 13156 62.594 * [simplify]: Simplified to (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 62.594 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 62.595 * * * * [progress]: [ 167 / 614 ] simplifiying candidate # 62.595 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 62.595 * * [simplify]: iters left: 6 (19 enodes) 62.605 * * [simplify]: iters left: 5 (67 enodes) 62.630 * * [simplify]: iters left: 4 (102 enodes) 62.664 * * [simplify]: iters left: 3 (160 enodes) 62.713 * * [simplify]: iters left: 2 (210 enodes) 62.765 * * [simplify]: iters left: 1 (267 enodes) 62.874 * * [simplify]: Extracting #0: cost 1 inf + 0 62.874 * * [simplify]: Extracting #1: cost 8 inf + 0 62.874 * * [simplify]: Extracting #2: cost 17 inf + 0 62.874 * * [simplify]: Extracting #3: cost 37 inf + 42 62.875 * * [simplify]: Extracting #4: cost 58 inf + 84 62.876 * * [simplify]: Extracting #5: cost 37 inf + 3256 62.879 * * [simplify]: Extracting #6: cost 9 inf + 9615 62.884 * * [simplify]: Extracting #7: cost 0 inf + 13280 62.887 * [simplify]: Simplified to (* (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (fabs (cbrt 2)))) (sqrt a1)) 62.887 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (fabs (cbrt 2)))) (sqrt a1)) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 62.888 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 62.888 * * [simplify]: iters left: 6 (18 enodes) 62.893 * * [simplify]: iters left: 5 (63 enodes) 62.903 * * [simplify]: iters left: 4 (98 enodes) 62.928 * * [simplify]: iters left: 3 (156 enodes) 62.978 * * [simplify]: iters left: 2 (206 enodes) 63.051 * * [simplify]: iters left: 1 (263 enodes) 63.150 * * [simplify]: Extracting #0: cost 1 inf + 0 63.150 * * [simplify]: Extracting #1: cost 8 inf + 0 63.150 * * [simplify]: Extracting #2: cost 17 inf + 0 63.150 * * [simplify]: Extracting #3: cost 36 inf + 42 63.150 * * [simplify]: Extracting #4: cost 55 inf + 84 63.151 * * [simplify]: Extracting #5: cost 43 inf + 1640 63.153 * * [simplify]: Extracting #6: cost 19 inf + 6367 63.157 * * [simplify]: Extracting #7: cost 2 inf + 11590 63.162 * * [simplify]: Extracting #8: cost 0 inf + 12836 63.166 * [simplify]: Simplified to (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 63.166 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 63.166 * * * * [progress]: [ 168 / 614 ] simplifiying candidate # 63.167 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 63.167 * * [simplify]: iters left: 6 (18 enodes) 63.172 * * [simplify]: iters left: 5 (62 enodes) 63.182 * * [simplify]: iters left: 4 (94 enodes) 63.200 * * [simplify]: iters left: 3 (149 enodes) 63.253 * * [simplify]: iters left: 2 (198 enodes) 63.329 * * [simplify]: iters left: 1 (261 enodes) 63.437 * * [simplify]: Extracting #0: cost 1 inf + 0 63.437 * * [simplify]: Extracting #1: cost 5 inf + 0 63.437 * * [simplify]: Extracting #2: cost 8 inf + 1 63.437 * * [simplify]: Extracting #3: cost 30 inf + 1 63.437 * * [simplify]: Extracting #4: cost 52 inf + 2 63.438 * * [simplify]: Extracting #5: cost 38 inf + 1640 63.440 * * [simplify]: Extracting #6: cost 11 inf + 6934 63.444 * * [simplify]: Extracting #7: cost 1 inf + 9879 63.448 * * [simplify]: Extracting #8: cost 0 inf + 10462 63.455 * [simplify]: Simplified to (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (fabs (cbrt 2)))) 63.455 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (fabs (cbrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 63.456 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 63.456 * * [simplify]: iters left: 6 (17 enodes) 63.464 * * [simplify]: iters left: 5 (60 enodes) 63.474 * * [simplify]: iters left: 4 (95 enodes) 63.490 * * [simplify]: iters left: 3 (153 enodes) 63.538 * * [simplify]: iters left: 2 (202 enodes) 63.582 * * [simplify]: iters left: 1 (265 enodes) 63.713 * * [simplify]: Extracting #0: cost 1 inf + 0 63.713 * * [simplify]: Extracting #1: cost 8 inf + 0 63.713 * * [simplify]: Extracting #2: cost 14 inf + 1 63.713 * * [simplify]: Extracting #3: cost 35 inf + 1 63.714 * * [simplify]: Extracting #4: cost 56 inf + 2 63.714 * * [simplify]: Extracting #5: cost 36 inf + 2933 63.718 * * [simplify]: Extracting #6: cost 4 inf + 11325 63.723 * * [simplify]: Extracting #7: cost 0 inf + 12716 63.728 * [simplify]: Simplified to (/ (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) a1) (cbrt (sqrt (cbrt 2)))) 63.728 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (* (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 63.728 * * * * [progress]: [ 169 / 614 ] simplifiying candidate # 63.729 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 63.729 * * [simplify]: iters left: 6 (18 enodes) 63.738 * * [simplify]: iters left: 5 (65 enodes) 63.760 * * [simplify]: iters left: 4 (106 enodes) 63.798 * * [simplify]: iters left: 3 (172 enodes) 63.853 * * [simplify]: iters left: 2 (231 enodes) 63.933 * * [simplify]: iters left: 1 (294 enodes) 64.001 * * [simplify]: Extracting #0: cost 1 inf + 0 64.001 * * [simplify]: Extracting #1: cost 14 inf + 0 64.002 * * [simplify]: Extracting #2: cost 29 inf + 0 64.002 * * [simplify]: Extracting #3: cost 46 inf + 284 64.002 * * [simplify]: Extracting #4: cost 64 inf + 406 64.002 * * [simplify]: Extracting #5: cost 55 inf + 1259 64.004 * * [simplify]: Extracting #6: cost 26 inf + 6895 64.006 * * [simplify]: Extracting #7: cost 11 inf + 12272 64.009 * * [simplify]: Extracting #8: cost 0 inf + 17904 64.013 * [simplify]: Simplified to (* (cbrt a1) (/ (sqrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) 64.013 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (sqrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 64.014 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 64.014 * * [simplify]: iters left: 6 (17 enodes) 64.018 * * [simplify]: iters left: 5 (60 enodes) 64.028 * * [simplify]: iters left: 4 (95 enodes) 64.052 * * [simplify]: iters left: 3 (153 enodes) 64.084 * * [simplify]: iters left: 2 (202 enodes) 64.150 * * [simplify]: iters left: 1 (265 enodes) 64.259 * * [simplify]: Extracting #0: cost 1 inf + 0 64.259 * * [simplify]: Extracting #1: cost 8 inf + 0 64.259 * * [simplify]: Extracting #2: cost 17 inf + 0 64.259 * * [simplify]: Extracting #3: cost 35 inf + 163 64.260 * * [simplify]: Extracting #4: cost 55 inf + 164 64.260 * * [simplify]: Extracting #5: cost 39 inf + 2289 64.264 * * [simplify]: Extracting #6: cost 7 inf + 9957 64.269 * * [simplify]: Extracting #7: cost 0 inf + 12636 64.274 * [simplify]: Simplified to (/ (* (cbrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 64.274 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 64.274 * * * * [progress]: [ 170 / 614 ] simplifiying candidate # 64.275 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 64.275 * * [simplify]: iters left: 6 (17 enodes) 64.283 * * [simplify]: iters left: 5 (60 enodes) 64.299 * * [simplify]: iters left: 4 (95 enodes) 64.314 * * [simplify]: iters left: 3 (153 enodes) 64.351 * * [simplify]: iters left: 2 (202 enodes) 64.406 * * [simplify]: iters left: 1 (265 enodes) 64.515 * * [simplify]: Extracting #0: cost 1 inf + 0 64.515 * * [simplify]: Extracting #1: cost 8 inf + 0 64.515 * * [simplify]: Extracting #2: cost 17 inf + 0 64.515 * * [simplify]: Extracting #3: cost 35 inf + 83 64.516 * * [simplify]: Extracting #4: cost 55 inf + 84 64.516 * * [simplify]: Extracting #5: cost 39 inf + 2209 64.518 * * [simplify]: Extracting #6: cost 7 inf + 9717 64.520 * * [simplify]: Extracting #7: cost 0 inf + 12316 64.523 * [simplify]: Simplified to (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 64.523 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 64.523 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 64.523 * * [simplify]: iters left: 6 (17 enodes) 64.529 * * [simplify]: iters left: 5 (60 enodes) 64.549 * * [simplify]: iters left: 4 (95 enodes) 64.580 * * [simplify]: iters left: 3 (153 enodes) 64.622 * * [simplify]: iters left: 2 (202 enodes) 64.666 * * [simplify]: iters left: 1 (265 enodes) 64.756 * * [simplify]: Extracting #0: cost 1 inf + 0 64.756 * * [simplify]: Extracting #1: cost 8 inf + 0 64.756 * * [simplify]: Extracting #2: cost 17 inf + 0 64.756 * * [simplify]: Extracting #3: cost 35 inf + 83 64.757 * * [simplify]: Extracting #4: cost 55 inf + 84 64.757 * * [simplify]: Extracting #5: cost 39 inf + 2209 64.759 * * [simplify]: Extracting #6: cost 7 inf + 9717 64.761 * * [simplify]: Extracting #7: cost 0 inf + 12316 64.763 * [simplify]: Simplified to (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 64.763 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 64.764 * * * * [progress]: [ 171 / 614 ] simplifiying candidate # 64.764 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 64.764 * * [simplify]: iters left: 6 (16 enodes) 64.770 * * [simplify]: iters left: 5 (55 enodes) 64.789 * * [simplify]: iters left: 4 (87 enodes) 64.821 * * [simplify]: iters left: 3 (142 enodes) 64.864 * * [simplify]: iters left: 2 (192 enodes) 64.918 * * [simplify]: iters left: 1 (261 enodes) 64.991 * * [simplify]: Extracting #0: cost 1 inf + 0 64.991 * * [simplify]: Extracting #1: cost 5 inf + 0 64.991 * * [simplify]: Extracting #2: cost 8 inf + 1 64.991 * * [simplify]: Extracting #3: cost 29 inf + 1 64.992 * * [simplify]: Extracting #4: cost 49 inf + 2 64.992 * * [simplify]: Extracting #5: cost 40 inf + 712 64.994 * * [simplify]: Extracting #6: cost 10 inf + 6572 64.998 * * [simplify]: Extracting #7: cost 1 inf + 9395 65.002 * * [simplify]: Extracting #8: cost 0 inf + 9738 65.006 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (sqrt 2)))) 65.007 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 65.007 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 65.007 * * [simplify]: iters left: 6 (16 enodes) 65.015 * * [simplify]: iters left: 5 (57 enodes) 65.035 * * [simplify]: iters left: 4 (92 enodes) 65.065 * * [simplify]: iters left: 3 (150 enodes) 65.112 * * [simplify]: iters left: 2 (200 enodes) 65.158 * * [simplify]: iters left: 1 (257 enodes) 65.254 * * [simplify]: Extracting #0: cost 1 inf + 0 65.254 * * [simplify]: Extracting #1: cost 8 inf + 0 65.254 * * [simplify]: Extracting #2: cost 14 inf + 1 65.254 * * [simplify]: Extracting #3: cost 35 inf + 1 65.255 * * [simplify]: Extracting #4: cost 54 inf + 2 65.255 * * [simplify]: Extracting #5: cost 45 inf + 752 65.258 * * [simplify]: Extracting #6: cost 12 inf + 8344 65.262 * * [simplify]: Extracting #7: cost 0 inf + 11792 65.267 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1)) 65.267 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 65.268 * * * * [progress]: [ 172 / 614 ] simplifiying candidate # 65.268 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 65.268 * * [simplify]: iters left: 6 (18 enodes) 65.281 * * [simplify]: iters left: 5 (65 enodes) 65.306 * * [simplify]: iters left: 4 (107 enodes) 65.337 * * [simplify]: iters left: 3 (177 enodes) 65.367 * * [simplify]: iters left: 2 (244 enodes) 65.460 * * [simplify]: iters left: 1 (326 enodes) 65.607 * * [simplify]: Extracting #0: cost 1 inf + 0 65.607 * * [simplify]: Extracting #1: cost 11 inf + 0 65.607 * * [simplify]: Extracting #2: cost 20 inf + 1 65.608 * * [simplify]: Extracting #3: cost 34 inf + 285 65.608 * * [simplify]: Extracting #4: cost 51 inf + 690 65.609 * * [simplify]: Extracting #5: cost 49 inf + 1036 65.610 * * [simplify]: Extracting #6: cost 36 inf + 2696 65.613 * * [simplify]: Extracting #7: cost 7 inf + 10647 65.619 * * [simplify]: Extracting #8: cost 0 inf + 12928 65.625 * [simplify]: Simplified to (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1))) 65.625 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 65.626 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 65.626 * * [simplify]: iters left: 6 (15 enodes) 65.636 * * [simplify]: iters left: 5 (54 enodes) 65.655 * * [simplify]: iters left: 4 (89 enodes) 65.685 * * [simplify]: iters left: 3 (147 enodes) 65.733 * * [simplify]: iters left: 2 (200 enodes) 65.794 * * [simplify]: iters left: 1 (264 enodes) 65.887 * * [simplify]: Extracting #0: cost 1 inf + 0 65.887 * * [simplify]: Extracting #1: cost 10 inf + 0 65.887 * * [simplify]: Extracting #2: cost 18 inf + 1 65.887 * * [simplify]: Extracting #3: cost 34 inf + 164 65.888 * * [simplify]: Extracting #4: cost 48 inf + 247 65.888 * * [simplify]: Extracting #5: cost 41 inf + 1218 65.892 * * [simplify]: Extracting #6: cost 5 inf + 10602 65.897 * * [simplify]: Extracting #7: cost 0 inf + 11773 65.902 * [simplify]: Simplified to (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 65.902 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1))) (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 65.902 * * * * [progress]: [ 173 / 614 ] simplifiying candidate # 65.902 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) (sqrt a1))) 65.903 * * [simplify]: iters left: 6 (17 enodes) 65.910 * * [simplify]: iters left: 5 (60 enodes) 65.920 * * [simplify]: iters left: 4 (93 enodes) 65.938 * * [simplify]: iters left: 3 (151 enodes) 65.967 * * [simplify]: iters left: 2 (199 enodes) 66.045 * * [simplify]: iters left: 1 (264 enodes) 66.171 * * [simplify]: Extracting #0: cost 1 inf + 0 66.171 * * [simplify]: Extracting #1: cost 7 inf + 0 66.171 * * [simplify]: Extracting #2: cost 12 inf + 1 66.171 * * [simplify]: Extracting #3: cost 26 inf + 166 66.171 * * [simplify]: Extracting #4: cost 45 inf + 248 66.171 * * [simplify]: Extracting #5: cost 45 inf + 310 66.172 * * [simplify]: Extracting #6: cost 37 inf + 1081 66.173 * * [simplify]: Extracting #7: cost 12 inf + 7422 66.175 * * [simplify]: Extracting #8: cost 0 inf + 10108 66.178 * [simplify]: Simplified to (* (sqrt a1) (sqrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))))) 66.178 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (sqrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 66.178 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 66.178 * * [simplify]: iters left: 6 (15 enodes) 66.182 * * [simplify]: iters left: 5 (54 enodes) 66.192 * * [simplify]: iters left: 4 (89 enodes) 66.220 * * [simplify]: iters left: 3 (147 enodes) 66.256 * * [simplify]: iters left: 2 (200 enodes) 66.294 * * [simplify]: iters left: 1 (264 enodes) 66.385 * * [simplify]: Extracting #0: cost 1 inf + 0 66.385 * * [simplify]: Extracting #1: cost 10 inf + 0 66.385 * * [simplify]: Extracting #2: cost 18 inf + 1 66.386 * * [simplify]: Extracting #3: cost 34 inf + 84 66.386 * * [simplify]: Extracting #4: cost 48 inf + 167 66.386 * * [simplify]: Extracting #5: cost 41 inf + 1138 66.388 * * [simplify]: Extracting #6: cost 5 inf + 10322 66.390 * * [simplify]: Extracting #7: cost 0 inf + 11453 66.393 * [simplify]: Simplified to (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 66.393 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) (sqrt a1))) (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 66.393 * * * * [progress]: [ 174 / 614 ] simplifiying candidate # 66.393 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) 1)) 66.393 * * [simplify]: iters left: 6 (16 enodes) 66.402 * * [simplify]: iters left: 5 (55 enodes) 66.419 * * [simplify]: iters left: 4 (85 enodes) 66.432 * * [simplify]: iters left: 3 (139 enodes) 66.458 * * [simplify]: iters left: 2 (188 enodes) 66.519 * * [simplify]: iters left: 1 (251 enodes) 66.601 * * [simplify]: Extracting #0: cost 1 inf + 0 66.601 * * [simplify]: Extracting #1: cost 4 inf + 0 66.601 * * [simplify]: Extracting #2: cost 22 inf + 1 66.601 * * [simplify]: Extracting #3: cost 40 inf + 2 66.602 * * [simplify]: Extracting #4: cost 40 inf + 64 66.602 * * [simplify]: Extracting #5: cost 36 inf + 330 66.603 * * [simplify]: Extracting #6: cost 34 inf + 412 66.604 * * [simplify]: Extracting #7: cost 17 inf + 3806 66.607 * * [simplify]: Extracting #8: cost 0 inf + 8046 66.611 * [simplify]: Simplified to (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) 66.611 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 66.611 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 66.612 * * [simplify]: iters left: 6 (14 enodes) 66.617 * * [simplify]: iters left: 5 (51 enodes) 66.626 * * [simplify]: iters left: 4 (86 enodes) 66.641 * * [simplify]: iters left: 3 (143 enodes) 66.681 * * [simplify]: iters left: 2 (190 enodes) 66.728 * * [simplify]: iters left: 1 (257 enodes) 66.831 * * [simplify]: Extracting #0: cost 1 inf + 0 66.831 * * [simplify]: Extracting #1: cost 11 inf + 0 66.831 * * [simplify]: Extracting #2: cost 16 inf + 2 66.831 * * [simplify]: Extracting #3: cost 34 inf + 2 66.832 * * [simplify]: Extracting #4: cost 49 inf + 44 66.832 * * [simplify]: Extracting #5: cost 42 inf + 752 66.834 * * [simplify]: Extracting #6: cost 15 inf + 7175 66.841 * * [simplify]: Extracting #7: cost 0 inf + 11433 66.846 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 66.846 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 66.846 * * * * [progress]: [ 175 / 614 ] simplifiying candidate # 66.847 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 66.847 * * [simplify]: iters left: 6 (18 enodes) 66.856 * * [simplify]: iters left: 5 (65 enodes) 66.879 * * [simplify]: iters left: 4 (106 enodes) 66.912 * * [simplify]: iters left: 3 (172 enodes) 66.940 * * [simplify]: iters left: 2 (231 enodes) 67.011 * * [simplify]: iters left: 1 (294 enodes) 67.080 * * [simplify]: Extracting #0: cost 1 inf + 0 67.080 * * [simplify]: Extracting #1: cost 14 inf + 0 67.080 * * [simplify]: Extracting #2: cost 29 inf + 0 67.080 * * [simplify]: Extracting #3: cost 46 inf + 284 67.080 * * [simplify]: Extracting #4: cost 64 inf + 406 67.081 * * [simplify]: Extracting #5: cost 55 inf + 1259 67.082 * * [simplify]: Extracting #6: cost 26 inf + 6895 67.084 * * [simplify]: Extracting #7: cost 11 inf + 12272 67.087 * * [simplify]: Extracting #8: cost 0 inf + 17904 67.092 * [simplify]: Simplified to (* (cbrt a1) (/ (sqrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) 67.092 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (sqrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 67.093 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 67.093 * * [simplify]: iters left: 6 (17 enodes) 67.099 * * [simplify]: iters left: 5 (60 enodes) 67.109 * * [simplify]: iters left: 4 (95 enodes) 67.125 * * [simplify]: iters left: 3 (153 enodes) 67.175 * * [simplify]: iters left: 2 (202 enodes) 67.229 * * [simplify]: iters left: 1 (265 enodes) 67.325 * * [simplify]: Extracting #0: cost 1 inf + 0 67.325 * * [simplify]: Extracting #1: cost 8 inf + 0 67.325 * * [simplify]: Extracting #2: cost 17 inf + 0 67.326 * * [simplify]: Extracting #3: cost 35 inf + 163 67.326 * * [simplify]: Extracting #4: cost 55 inf + 164 67.327 * * [simplify]: Extracting #5: cost 39 inf + 2289 67.330 * * [simplify]: Extracting #6: cost 7 inf + 9957 67.335 * * [simplify]: Extracting #7: cost 0 inf + 12636 67.340 * [simplify]: Simplified to (/ (* (cbrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 67.340 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 67.340 * * * * [progress]: [ 176 / 614 ] simplifiying candidate # 67.340 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 67.341 * * [simplify]: iters left: 6 (17 enodes) 67.350 * * [simplify]: iters left: 5 (60 enodes) 67.370 * * [simplify]: iters left: 4 (95 enodes) 67.404 * * [simplify]: iters left: 3 (153 enodes) 67.453 * * [simplify]: iters left: 2 (202 enodes) 67.532 * * [simplify]: iters left: 1 (265 enodes) 67.662 * * [simplify]: Extracting #0: cost 1 inf + 0 67.662 * * [simplify]: Extracting #1: cost 8 inf + 0 67.662 * * [simplify]: Extracting #2: cost 17 inf + 0 67.662 * * [simplify]: Extracting #3: cost 35 inf + 83 67.663 * * [simplify]: Extracting #4: cost 55 inf + 84 67.663 * * [simplify]: Extracting #5: cost 39 inf + 2209 67.667 * * [simplify]: Extracting #6: cost 7 inf + 9717 67.671 * * [simplify]: Extracting #7: cost 0 inf + 12316 67.676 * [simplify]: Simplified to (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 67.676 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 67.677 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 67.677 * * [simplify]: iters left: 6 (17 enodes) 67.684 * * [simplify]: iters left: 5 (60 enodes) 67.694 * * [simplify]: iters left: 4 (95 enodes) 67.710 * * [simplify]: iters left: 3 (153 enodes) 67.758 * * [simplify]: iters left: 2 (202 enodes) 67.815 * * [simplify]: iters left: 1 (265 enodes) 67.899 * * [simplify]: Extracting #0: cost 1 inf + 0 67.899 * * [simplify]: Extracting #1: cost 8 inf + 0 67.899 * * [simplify]: Extracting #2: cost 17 inf + 0 67.899 * * [simplify]: Extracting #3: cost 35 inf + 83 67.899 * * [simplify]: Extracting #4: cost 55 inf + 84 67.900 * * [simplify]: Extracting #5: cost 39 inf + 2209 67.901 * * [simplify]: Extracting #6: cost 7 inf + 9717 67.904 * * [simplify]: Extracting #7: cost 0 inf + 12316 67.908 * [simplify]: Simplified to (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2)))) 67.908 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (* (sqrt a1) (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 67.908 * * * * [progress]: [ 177 / 614 ] simplifiying candidate # 67.908 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 67.908 * * [simplify]: iters left: 6 (16 enodes) 67.913 * * [simplify]: iters left: 5 (55 enodes) 67.923 * * [simplify]: iters left: 4 (87 enodes) 67.948 * * [simplify]: iters left: 3 (142 enodes) 67.993 * * [simplify]: iters left: 2 (192 enodes) 68.048 * * [simplify]: iters left: 1 (261 enodes) 68.126 * * [simplify]: Extracting #0: cost 1 inf + 0 68.126 * * [simplify]: Extracting #1: cost 5 inf + 0 68.126 * * [simplify]: Extracting #2: cost 8 inf + 1 68.126 * * [simplify]: Extracting #3: cost 29 inf + 1 68.126 * * [simplify]: Extracting #4: cost 49 inf + 2 68.126 * * [simplify]: Extracting #5: cost 40 inf + 712 68.127 * * [simplify]: Extracting #6: cost 10 inf + 6572 68.129 * * [simplify]: Extracting #7: cost 1 inf + 9395 68.131 * * [simplify]: Extracting #8: cost 0 inf + 9738 68.133 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (sqrt 2)))) 68.133 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 68.134 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 68.134 * * [simplify]: iters left: 6 (16 enodes) 68.138 * * [simplify]: iters left: 5 (57 enodes) 68.148 * * [simplify]: iters left: 4 (92 enodes) 68.165 * * [simplify]: iters left: 3 (150 enodes) 68.200 * * [simplify]: iters left: 2 (200 enodes) 68.279 * * [simplify]: iters left: 1 (257 enodes) 68.404 * * [simplify]: Extracting #0: cost 1 inf + 0 68.405 * * [simplify]: Extracting #1: cost 8 inf + 0 68.405 * * [simplify]: Extracting #2: cost 14 inf + 1 68.405 * * [simplify]: Extracting #3: cost 35 inf + 1 68.405 * * [simplify]: Extracting #4: cost 54 inf + 2 68.406 * * [simplify]: Extracting #5: cost 45 inf + 752 68.408 * * [simplify]: Extracting #6: cost 12 inf + 8344 68.413 * * [simplify]: Extracting #7: cost 0 inf + 11792 68.417 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1)) 68.417 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 68.418 * * * * [progress]: [ 178 / 614 ] simplifiying candidate # 68.418 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 68.418 * * [simplify]: iters left: 6 (17 enodes) 68.426 * * [simplify]: iters left: 5 (62 enodes) 68.436 * * [simplify]: iters left: 4 (104 enodes) 68.453 * * [simplify]: iters left: 3 (174 enodes) 68.499 * * [simplify]: iters left: 2 (236 enodes) 68.553 * * [simplify]: iters left: 1 (323 enodes) 68.655 * * [simplify]: Extracting #0: cost 1 inf + 0 68.655 * * [simplify]: Extracting #1: cost 11 inf + 0 68.655 * * [simplify]: Extracting #2: cost 20 inf + 1 68.655 * * [simplify]: Extracting #3: cost 35 inf + 164 68.656 * * [simplify]: Extracting #4: cost 51 inf + 690 68.656 * * [simplify]: Extracting #5: cost 49 inf + 1036 68.657 * * [simplify]: Extracting #6: cost 35 inf + 3019 68.659 * * [simplify]: Extracting #7: cost 5 inf + 11536 68.661 * * [simplify]: Extracting #8: cost 0 inf + 12928 68.664 * [simplify]: Simplified to (* (cbrt a1) (* (sqrt (* a1 (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) 68.664 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (* (sqrt (* a1 (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 68.665 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 68.665 * * [simplify]: iters left: 6 (15 enodes) 68.669 * * [simplify]: iters left: 5 (54 enodes) 68.679 * * [simplify]: iters left: 4 (89 enodes) 68.694 * * [simplify]: iters left: 3 (147 enodes) 68.726 * * [simplify]: iters left: 2 (200 enodes) 68.770 * * [simplify]: iters left: 1 (264 enodes) 68.871 * * [simplify]: Extracting #0: cost 1 inf + 0 68.871 * * [simplify]: Extracting #1: cost 10 inf + 0 68.871 * * [simplify]: Extracting #2: cost 18 inf + 1 68.872 * * [simplify]: Extracting #3: cost 34 inf + 164 68.872 * * [simplify]: Extracting #4: cost 48 inf + 247 68.873 * * [simplify]: Extracting #5: cost 41 inf + 1218 68.876 * * [simplify]: Extracting #6: cost 5 inf + 10602 68.881 * * [simplify]: Extracting #7: cost 0 inf + 11773 68.887 * [simplify]: Simplified to (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 68.887 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 68.887 * * * * [progress]: [ 179 / 614 ] simplifiying candidate # 68.888 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (sqrt a1))) 68.888 * * [simplify]: iters left: 6 (16 enodes) 68.904 * * [simplify]: iters left: 5 (57 enodes) 68.923 * * [simplify]: iters left: 4 (90 enodes) 68.953 * * [simplify]: iters left: 3 (148 enodes) 69.001 * * [simplify]: iters left: 2 (198 enodes) 69.059 * * [simplify]: iters left: 1 (257 enodes) 69.152 * * [simplify]: Extracting #0: cost 1 inf + 0 69.152 * * [simplify]: Extracting #1: cost 7 inf + 0 69.152 * * [simplify]: Extracting #2: cost 12 inf + 1 69.152 * * [simplify]: Extracting #3: cost 28 inf + 43 69.152 * * [simplify]: Extracting #4: cost 45 inf + 248 69.153 * * [simplify]: Extracting #5: cost 45 inf + 310 69.153 * * [simplify]: Extracting #6: cost 33 inf + 1911 69.154 * * [simplify]: Extracting #7: cost 9 inf + 7565 69.157 * * [simplify]: Extracting #8: cost 0 inf + 10108 69.159 * [simplify]: Simplified to (* (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) 69.159 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 69.159 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 69.159 * * [simplify]: iters left: 6 (15 enodes) 69.163 * * [simplify]: iters left: 5 (54 enodes) 69.173 * * [simplify]: iters left: 4 (89 enodes) 69.196 * * [simplify]: iters left: 3 (147 enodes) 69.230 * * [simplify]: iters left: 2 (200 enodes) 69.279 * * [simplify]: iters left: 1 (264 enodes) 69.381 * * [simplify]: Extracting #0: cost 1 inf + 0 69.381 * * [simplify]: Extracting #1: cost 10 inf + 0 69.381 * * [simplify]: Extracting #2: cost 18 inf + 1 69.382 * * [simplify]: Extracting #3: cost 34 inf + 84 69.382 * * [simplify]: Extracting #4: cost 48 inf + 167 69.382 * * [simplify]: Extracting #5: cost 41 inf + 1138 69.384 * * [simplify]: Extracting #6: cost 5 inf + 10322 69.386 * * [simplify]: Extracting #7: cost 0 inf + 11453 69.389 * [simplify]: Simplified to (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 69.389 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (sqrt a1))) (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 69.389 * * * * [progress]: [ 180 / 614 ] simplifiying candidate # 69.389 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) 1)) 69.389 * * [simplify]: iters left: 6 (15 enodes) 69.394 * * [simplify]: iters left: 5 (52 enodes) 69.403 * * [simplify]: iters left: 4 (82 enodes) 69.428 * * [simplify]: iters left: 3 (136 enodes) 69.471 * * [simplify]: iters left: 2 (184 enodes) 69.525 * * [simplify]: iters left: 1 (247 enodes) 69.614 * * [simplify]: Extracting #0: cost 1 inf + 0 69.614 * * [simplify]: Extracting #1: cost 4 inf + 0 69.614 * * [simplify]: Extracting #2: cost 22 inf + 1 69.615 * * [simplify]: Extracting #3: cost 40 inf + 2 69.615 * * [simplify]: Extracting #4: cost 39 inf + 125 69.615 * * [simplify]: Extracting #5: cost 34 inf + 412 69.617 * * [simplify]: Extracting #6: cost 12 inf + 5178 69.621 * * [simplify]: Extracting #7: cost 0 inf + 8046 69.624 * [simplify]: Simplified to (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 69.624 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 69.625 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 69.625 * * [simplify]: iters left: 6 (14 enodes) 69.632 * * [simplify]: iters left: 5 (51 enodes) 69.650 * * [simplify]: iters left: 4 (86 enodes) 69.681 * * [simplify]: iters left: 3 (143 enodes) 69.727 * * [simplify]: iters left: 2 (190 enodes) 69.779 * * [simplify]: iters left: 1 (257 enodes) 69.871 * * [simplify]: Extracting #0: cost 1 inf + 0 69.871 * * [simplify]: Extracting #1: cost 11 inf + 0 69.871 * * [simplify]: Extracting #2: cost 16 inf + 2 69.871 * * [simplify]: Extracting #3: cost 34 inf + 2 69.872 * * [simplify]: Extracting #4: cost 49 inf + 44 69.872 * * [simplify]: Extracting #5: cost 42 inf + 752 69.874 * * [simplify]: Extracting #6: cost 15 inf + 7175 69.878 * * [simplify]: Extracting #7: cost 0 inf + 11433 69.881 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 69.881 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 69.881 * * * * [progress]: [ 181 / 614 ] simplifiying candidate # 69.881 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 69.881 * * [simplify]: iters left: 6 (18 enodes) 69.886 * * [simplify]: iters left: 5 (69 enodes) 69.898 * * [simplify]: iters left: 4 (128 enodes) 69.927 * * [simplify]: iters left: 3 (221 enodes) 69.980 * * [simplify]: iters left: 2 (308 enodes) 70.090 * * [simplify]: iters left: 1 (397 enodes) 70.184 * * [simplify]: Extracting #0: cost 1 inf + 0 70.184 * * [simplify]: Extracting #1: cost 29 inf + 0 70.184 * * [simplify]: Extracting #2: cost 54 inf + 0 70.184 * * [simplify]: Extracting #3: cost 71 inf + 203 70.184 * * [simplify]: Extracting #4: cost 88 inf + 406 70.185 * * [simplify]: Extracting #5: cost 78 inf + 1260 70.187 * * [simplify]: Extracting #6: cost 28 inf + 17714 70.196 * * [simplify]: Extracting #7: cost 1 inf + 29163 70.207 * * [simplify]: Extracting #8: cost 0 inf + 29425 70.219 * [simplify]: Simplified to (* (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))))) 70.219 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 70.220 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 70.220 * * [simplify]: iters left: 6 (16 enodes) 70.230 * * [simplify]: iters left: 5 (57 enodes) 70.250 * * [simplify]: iters left: 4 (92 enodes) 70.282 * * [simplify]: iters left: 3 (150 enodes) 70.330 * * [simplify]: iters left: 2 (200 enodes) 70.383 * * [simplify]: iters left: 1 (257 enodes) 70.463 * * [simplify]: Extracting #0: cost 1 inf + 0 70.463 * * [simplify]: Extracting #1: cost 8 inf + 0 70.463 * * [simplify]: Extracting #2: cost 17 inf + 0 70.463 * * [simplify]: Extracting #3: cost 35 inf + 82 70.463 * * [simplify]: Extracting #4: cost 52 inf + 164 70.463 * * [simplify]: Extracting #5: cost 43 inf + 914 70.465 * * [simplify]: Extracting #6: cost 11 inf + 8785 70.467 * * [simplify]: Extracting #7: cost 0 inf + 12272 70.469 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 70.470 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 70.470 * * * * [progress]: [ 182 / 614 ] simplifiying candidate # 70.470 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 70.470 * * [simplify]: iters left: 6 (17 enodes) 70.475 * * [simplify]: iters left: 5 (62 enodes) 70.485 * * [simplify]: iters left: 4 (104 enodes) 70.504 * * [simplify]: iters left: 3 (177 enodes) 70.549 * * [simplify]: iters left: 2 (234 enodes) 70.637 * * [simplify]: iters left: 1 (311 enodes) 70.746 * * [simplify]: Extracting #0: cost 1 inf + 0 70.747 * * [simplify]: Extracting #1: cost 16 inf + 0 70.747 * * [simplify]: Extracting #2: cost 32 inf + 0 70.747 * * [simplify]: Extracting #3: cost 50 inf + 42 70.747 * * [simplify]: Extracting #4: cost 68 inf + 84 70.748 * * [simplify]: Extracting #5: cost 63 inf + 309 70.750 * * [simplify]: Extracting #6: cost 30 inf + 6929 70.756 * * [simplify]: Extracting #7: cost 5 inf + 15936 70.763 * * [simplify]: Extracting #8: cost 0 inf + 18451 70.770 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))))) 70.770 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 70.771 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 70.771 * * [simplify]: iters left: 6 (16 enodes) 70.779 * * [simplify]: iters left: 5 (57 enodes) 70.799 * * [simplify]: iters left: 4 (92 enodes) 70.829 * * [simplify]: iters left: 3 (150 enodes) 70.880 * * [simplify]: iters left: 2 (200 enodes) 70.955 * * [simplify]: iters left: 1 (257 enodes) 71.082 * * [simplify]: Extracting #0: cost 1 inf + 0 71.083 * * [simplify]: Extracting #1: cost 8 inf + 0 71.083 * * [simplify]: Extracting #2: cost 17 inf + 0 71.083 * * [simplify]: Extracting #3: cost 35 inf + 42 71.083 * * [simplify]: Extracting #4: cost 52 inf + 84 71.084 * * [simplify]: Extracting #5: cost 43 inf + 834 71.086 * * [simplify]: Extracting #6: cost 11 inf + 8585 71.088 * * [simplify]: Extracting #7: cost 0 inf + 11952 71.090 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 71.091 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 71.091 * * * * [progress]: [ 183 / 614 ] simplifiying candidate # 71.091 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 71.091 * * [simplify]: iters left: 6 (16 enodes) 71.096 * * [simplify]: iters left: 5 (57 enodes) 71.106 * * [simplify]: iters left: 4 (99 enodes) 71.124 * * [simplify]: iters left: 3 (164 enodes) 71.152 * * [simplify]: iters left: 2 (220 enodes) 71.192 * * [simplify]: iters left: 1 (289 enodes) 71.284 * * [simplify]: Extracting #0: cost 1 inf + 0 71.284 * * [simplify]: Extracting #1: cost 12 inf + 0 71.284 * * [simplify]: Extracting #2: cost 21 inf + 1 71.284 * * [simplify]: Extracting #3: cost 41 inf + 1 71.285 * * [simplify]: Extracting #4: cost 59 inf + 2 71.285 * * [simplify]: Extracting #5: cost 49 inf + 875 71.287 * * [simplify]: Extracting #6: cost 10 inf + 10861 71.290 * * [simplify]: Extracting #7: cost 0 inf + 14124 71.295 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 71.295 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 71.295 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 71.296 * * [simplify]: iters left: 6 (15 enodes) 71.300 * * [simplify]: iters left: 5 (54 enodes) 71.317 * * [simplify]: iters left: 4 (89 enodes) 71.344 * * [simplify]: iters left: 3 (147 enodes) 71.369 * * [simplify]: iters left: 2 (197 enodes) 71.431 * * [simplify]: iters left: 1 (254 enodes) 71.495 * * [simplify]: Extracting #0: cost 1 inf + 0 71.495 * * [simplify]: Extracting #1: cost 8 inf + 0 71.495 * * [simplify]: Extracting #2: cost 14 inf + 1 71.495 * * [simplify]: Extracting #3: cost 34 inf + 1 71.495 * * [simplify]: Extracting #4: cost 52 inf + 2 71.495 * * [simplify]: Extracting #5: cost 40 inf + 1380 71.497 * * [simplify]: Extracting #6: cost 4 inf + 10662 71.499 * * [simplify]: Extracting #7: cost 0 inf + 11630 71.502 * [simplify]: Simplified to (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1) 71.502 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 71.502 * * * * [progress]: [ 184 / 614 ] simplifiying candidate # 71.502 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 71.502 * * [simplify]: iters left: 6 (17 enodes) 71.507 * * [simplify]: iters left: 5 (62 enodes) 71.518 * * [simplify]: iters left: 4 (103 enodes) 71.540 * * [simplify]: iters left: 3 (169 enodes) 71.569 * * [simplify]: iters left: 2 (228 enodes) 71.648 * * [simplify]: iters left: 1 (291 enodes) 71.733 * * [simplify]: Extracting #0: cost 1 inf + 0 71.734 * * [simplify]: Extracting #1: cost 14 inf + 0 71.734 * * [simplify]: Extracting #2: cost 29 inf + 0 71.734 * * [simplify]: Extracting #3: cost 47 inf + 82 71.735 * * [simplify]: Extracting #4: cost 64 inf + 285 71.736 * * [simplify]: Extracting #5: cost 50 inf + 2186 71.739 * * [simplify]: Extracting #6: cost 15 inf + 11184 71.746 * * [simplify]: Extracting #7: cost 0 inf + 17144 71.751 * [simplify]: Simplified to (* (cbrt a1) (/ (* (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (sqrt (cbrt (sqrt 2))))) 71.751 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (* (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (sqrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 71.751 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 71.751 * * [simplify]: iters left: 6 (16 enodes) 71.756 * * [simplify]: iters left: 5 (57 enodes) 71.766 * * [simplify]: iters left: 4 (92 enodes) 71.782 * * [simplify]: iters left: 3 (150 enodes) 71.824 * * [simplify]: iters left: 2 (200 enodes) 71.864 * * [simplify]: iters left: 1 (257 enodes) 71.964 * * [simplify]: Extracting #0: cost 1 inf + 0 71.964 * * [simplify]: Extracting #1: cost 8 inf + 0 71.964 * * [simplify]: Extracting #2: cost 17 inf + 0 71.964 * * [simplify]: Extracting #3: cost 35 inf + 82 71.964 * * [simplify]: Extracting #4: cost 52 inf + 164 71.965 * * [simplify]: Extracting #5: cost 43 inf + 914 71.970 * * [simplify]: Extracting #6: cost 11 inf + 8585 71.974 * * [simplify]: Extracting #7: cost 0 inf + 11952 71.979 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 71.979 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 71.979 * * * * [progress]: [ 185 / 614 ] simplifiying candidate # 71.980 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 71.980 * * [simplify]: iters left: 6 (16 enodes) 71.988 * * [simplify]: iters left: 5 (57 enodes) 72.007 * * [simplify]: iters left: 4 (92 enodes) 72.038 * * [simplify]: iters left: 3 (150 enodes) 72.071 * * [simplify]: iters left: 2 (200 enodes) 72.111 * * [simplify]: iters left: 1 (257 enodes) 72.196 * * [simplify]: Extracting #0: cost 1 inf + 0 72.196 * * [simplify]: Extracting #1: cost 8 inf + 0 72.196 * * [simplify]: Extracting #2: cost 17 inf + 0 72.197 * * [simplify]: Extracting #3: cost 35 inf + 42 72.197 * * [simplify]: Extracting #4: cost 52 inf + 84 72.197 * * [simplify]: Extracting #5: cost 43 inf + 834 72.199 * * [simplify]: Extracting #6: cost 11 inf + 8385 72.201 * * [simplify]: Extracting #7: cost 0 inf + 11632 72.203 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 72.203 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 72.204 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 72.204 * * [simplify]: iters left: 6 (16 enodes) 72.208 * * [simplify]: iters left: 5 (57 enodes) 72.218 * * [simplify]: iters left: 4 (92 enodes) 72.240 * * [simplify]: iters left: 3 (150 enodes) 72.268 * * [simplify]: iters left: 2 (200 enodes) 72.334 * * [simplify]: iters left: 1 (257 enodes) 72.407 * * [simplify]: Extracting #0: cost 1 inf + 0 72.407 * * [simplify]: Extracting #1: cost 8 inf + 0 72.407 * * [simplify]: Extracting #2: cost 17 inf + 0 72.407 * * [simplify]: Extracting #3: cost 35 inf + 42 72.408 * * [simplify]: Extracting #4: cost 52 inf + 84 72.408 * * [simplify]: Extracting #5: cost 43 inf + 834 72.409 * * [simplify]: Extracting #6: cost 11 inf + 8385 72.414 * * [simplify]: Extracting #7: cost 0 inf + 11632 72.418 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 72.418 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 72.419 * * * * [progress]: [ 186 / 614 ] simplifiying candidate # 72.419 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) 72.419 * * [simplify]: iters left: 6 (15 enodes) 72.426 * * [simplify]: iters left: 5 (52 enodes) 72.436 * * [simplify]: iters left: 4 (84 enodes) 72.454 * * [simplify]: iters left: 3 (139 enodes) 72.485 * * [simplify]: iters left: 2 (190 enodes) 72.548 * * [simplify]: iters left: 1 (247 enodes) 72.644 * * [simplify]: Extracting #0: cost 1 inf + 0 72.644 * * [simplify]: Extracting #1: cost 5 inf + 0 72.644 * * [simplify]: Extracting #2: cost 8 inf + 1 72.644 * * [simplify]: Extracting #3: cost 28 inf + 1 72.644 * * [simplify]: Extracting #4: cost 47 inf + 2 72.645 * * [simplify]: Extracting #5: cost 40 inf + 611 72.647 * * [simplify]: Extracting #6: cost 12 inf + 5944 72.651 * * [simplify]: Extracting #7: cost 0 inf + 9416 72.655 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) 72.655 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 72.655 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 72.656 * * [simplify]: iters left: 6 (15 enodes) 72.664 * * [simplify]: iters left: 5 (54 enodes) 72.683 * * [simplify]: iters left: 4 (89 enodes) 72.712 * * [simplify]: iters left: 3 (147 enodes) 72.760 * * [simplify]: iters left: 2 (197 enodes) 72.820 * * [simplify]: iters left: 1 (254 enodes) 72.910 * * [simplify]: Extracting #0: cost 1 inf + 0 72.910 * * [simplify]: Extracting #1: cost 8 inf + 0 72.911 * * [simplify]: Extracting #2: cost 14 inf + 1 72.911 * * [simplify]: Extracting #3: cost 34 inf + 1 72.911 * * [simplify]: Extracting #4: cost 52 inf + 2 72.911 * * [simplify]: Extracting #5: cost 40 inf + 1380 72.913 * * [simplify]: Extracting #6: cost 4 inf + 10382 72.915 * * [simplify]: Extracting #7: cost 0 inf + 11310 72.917 * [simplify]: Simplified to (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (sqrt (cbrt (sqrt 2)))) a1) 72.917 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) (* (/ (sqrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (sqrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 72.918 * * * * [progress]: [ 187 / 614 ] simplifiying candidate # 72.918 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 72.918 * * [simplify]: iters left: 6 (16 enodes) 72.922 * * [simplify]: iters left: 5 (59 enodes) 72.935 * * [simplify]: iters left: 4 (96 enodes) 72.957 * * [simplify]: iters left: 3 (162 enodes) 72.998 * * [simplify]: iters left: 2 (219 enodes) 73.081 * * [simplify]: iters left: 1 (306 enodes) 73.190 * * [simplify]: Extracting #0: cost 1 inf + 0 73.190 * * [simplify]: Extracting #1: cost 11 inf + 0 73.190 * * [simplify]: Extracting #2: cost 20 inf + 1 73.190 * * [simplify]: Extracting #3: cost 32 inf + 529 73.190 * * [simplify]: Extracting #4: cost 49 inf + 812 73.191 * * [simplify]: Extracting #5: cost 48 inf + 1036 73.192 * * [simplify]: Extracting #6: cost 32 inf + 3426 73.193 * * [simplify]: Extracting #7: cost 8 inf + 9762 73.196 * * [simplify]: Extracting #8: cost 1 inf + 12464 73.199 * * [simplify]: Extracting #9: cost 0 inf + 12726 73.202 * [simplify]: Simplified to (* (* (sqrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt a1)) 73.202 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt a1)) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 73.202 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 73.202 * * [simplify]: iters left: 6 (15 enodes) 73.207 * * [simplify]: iters left: 5 (54 enodes) 73.216 * * [simplify]: iters left: 4 (89 enodes) 73.231 * * [simplify]: iters left: 3 (147 enodes) 73.273 * * [simplify]: iters left: 2 (200 enodes) 73.311 * * [simplify]: iters left: 1 (264 enodes) 73.409 * * [simplify]: Extracting #0: cost 1 inf + 0 73.409 * * [simplify]: Extracting #1: cost 10 inf + 0 73.409 * * [simplify]: Extracting #2: cost 18 inf + 1 73.410 * * [simplify]: Extracting #3: cost 34 inf + 164 73.410 * * [simplify]: Extracting #4: cost 48 inf + 247 73.411 * * [simplify]: Extracting #5: cost 41 inf + 1218 73.414 * * [simplify]: Extracting #6: cost 5 inf + 10602 73.419 * * [simplify]: Extracting #7: cost 0 inf + 11773 73.426 * [simplify]: Simplified to (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 73.427 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 73.427 * * * * [progress]: [ 188 / 614 ] simplifiying candidate # 73.427 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (sqrt a1))) 73.427 * * [simplify]: iters left: 6 (15 enodes) 73.435 * * [simplify]: iters left: 5 (54 enodes) 73.454 * * [simplify]: iters left: 4 (85 enodes) 73.482 * * [simplify]: iters left: 3 (143 enodes) 73.530 * * [simplify]: iters left: 2 (194 enodes) 73.608 * * [simplify]: iters left: 1 (253 enodes) 73.693 * * [simplify]: Extracting #0: cost 1 inf + 0 73.694 * * [simplify]: Extracting #1: cost 7 inf + 0 73.694 * * [simplify]: Extracting #2: cost 12 inf + 1 73.694 * * [simplify]: Extracting #3: cost 26 inf + 166 73.694 * * [simplify]: Extracting #4: cost 45 inf + 248 73.694 * * [simplify]: Extracting #5: cost 45 inf + 310 73.695 * * [simplify]: Extracting #6: cost 35 inf + 1728 73.696 * * [simplify]: Extracting #7: cost 5 inf + 9202 73.698 * * [simplify]: Extracting #8: cost 0 inf + 10148 73.701 * * [simplify]: Extracting #9: cost 0 inf + 10108 73.703 * [simplify]: Simplified to (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) 73.703 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 73.703 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 73.703 * * [simplify]: iters left: 6 (15 enodes) 73.707 * * [simplify]: iters left: 5 (54 enodes) 73.718 * * [simplify]: iters left: 4 (89 enodes) 73.747 * * [simplify]: iters left: 3 (147 enodes) 73.771 * * [simplify]: iters left: 2 (200 enodes) 73.835 * * [simplify]: iters left: 1 (264 enodes) 73.917 * * [simplify]: Extracting #0: cost 1 inf + 0 73.917 * * [simplify]: Extracting #1: cost 10 inf + 0 73.917 * * [simplify]: Extracting #2: cost 18 inf + 1 73.918 * * [simplify]: Extracting #3: cost 34 inf + 84 73.918 * * [simplify]: Extracting #4: cost 48 inf + 167 73.918 * * [simplify]: Extracting #5: cost 41 inf + 1138 73.920 * * [simplify]: Extracting #6: cost 5 inf + 10322 73.922 * * [simplify]: Extracting #7: cost 0 inf + 11453 73.925 * [simplify]: Simplified to (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2)))) 73.925 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (sqrt a1))) (* (sqrt a1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 73.925 * * * * [progress]: [ 189 / 614 ] simplifiying candidate # 73.925 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 73.925 * * [simplify]: iters left: 6 (14 enodes) 73.929 * * [simplify]: iters left: 5 (47 enodes) 73.945 * * [simplify]: iters left: 4 (77 enodes) 73.970 * * [simplify]: iters left: 3 (131 enodes) 74.012 * * [simplify]: iters left: 2 (180 enodes) 74.089 * * [simplify]: iters left: 1 (249 enodes) 74.214 * * [simplify]: Extracting #0: cost 1 inf + 0 74.214 * * [simplify]: Extracting #1: cost 4 inf + 0 74.214 * * [simplify]: Extracting #2: cost 22 inf + 1 74.214 * * [simplify]: Extracting #3: cost 40 inf + 2 74.215 * * [simplify]: Extracting #4: cost 39 inf + 125 74.215 * * [simplify]: Extracting #5: cost 35 inf + 371 74.216 * * [simplify]: Extracting #6: cost 19 inf + 3421 74.219 * * [simplify]: Extracting #7: cost 1 inf + 7703 74.223 * * [simplify]: Extracting #8: cost 0 inf + 8046 74.227 * [simplify]: Simplified to (sqrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) 74.227 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 74.227 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 74.228 * * [simplify]: iters left: 6 (14 enodes) 74.235 * * [simplify]: iters left: 5 (51 enodes) 74.253 * * [simplify]: iters left: 4 (86 enodes) 74.286 * * [simplify]: iters left: 3 (143 enodes) 74.313 * * [simplify]: iters left: 2 (190 enodes) 74.371 * * [simplify]: iters left: 1 (257 enodes) 74.448 * * [simplify]: Extracting #0: cost 1 inf + 0 74.448 * * [simplify]: Extracting #1: cost 11 inf + 0 74.448 * * [simplify]: Extracting #2: cost 16 inf + 2 74.448 * * [simplify]: Extracting #3: cost 34 inf + 2 74.449 * * [simplify]: Extracting #4: cost 49 inf + 44 74.449 * * [simplify]: Extracting #5: cost 42 inf + 752 74.452 * * [simplify]: Extracting #6: cost 15 inf + 7175 74.456 * * [simplify]: Extracting #7: cost 0 inf + 11433 74.461 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 74.461 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 74.462 * * * * [progress]: [ 190 / 614 ] simplifiying candidate # 74.462 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) 74.462 * * [simplify]: iters left: 6 (13 enodes) 74.468 * * [simplify]: iters left: 5 (44 enodes) 74.476 * * [simplify]: iters left: 4 (74 enodes) 74.489 * * [simplify]: iters left: 3 (128 enodes) 74.513 * * [simplify]: iters left: 2 (176 enodes) 74.549 * * [simplify]: iters left: 1 (239 enodes) 74.669 * * [simplify]: Extracting #0: cost 1 inf + 0 74.669 * * [simplify]: Extracting #1: cost 4 inf + 0 74.670 * * [simplify]: Extracting #2: cost 22 inf + 1 74.670 * * [simplify]: Extracting #3: cost 41 inf + 2 74.670 * * [simplify]: Extracting #4: cost 40 inf + 125 74.671 * * [simplify]: Extracting #5: cost 35 inf + 412 74.673 * * [simplify]: Extracting #6: cost 11 inf + 5239 74.676 * * [simplify]: Extracting #7: cost 1 inf + 7946 74.680 * * [simplify]: Extracting #8: cost 0 inf + 8248 74.684 * [simplify]: Simplified to (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 74.684 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 74.684 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 74.684 * * [simplify]: iters left: 6 (14 enodes) 74.692 * * [simplify]: iters left: 5 (51 enodes) 74.711 * * [simplify]: iters left: 4 (86 enodes) 74.735 * * [simplify]: iters left: 3 (143 enodes) 74.758 * * [simplify]: iters left: 2 (190 enodes) 74.820 * * [simplify]: iters left: 1 (257 enodes) 74.912 * * [simplify]: Extracting #0: cost 1 inf + 0 74.912 * * [simplify]: Extracting #1: cost 11 inf + 0 74.912 * * [simplify]: Extracting #2: cost 16 inf + 2 74.912 * * [simplify]: Extracting #3: cost 34 inf + 2 74.912 * * [simplify]: Extracting #4: cost 49 inf + 44 74.912 * * [simplify]: Extracting #5: cost 42 inf + 752 74.913 * * [simplify]: Extracting #6: cost 15 inf + 7175 74.916 * * [simplify]: Extracting #7: cost 0 inf + 11433 74.918 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1)) 74.918 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 74.918 * * * * [progress]: [ 191 / 614 ] simplifiying candidate # 74.919 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (sqrt 2))) 74.919 * * [simplify]: iters left: 6 (13 enodes) 74.922 * * [simplify]: iters left: 5 (46 enodes) 74.931 * * [simplify]: iters left: 4 (76 enodes) 74.947 * * [simplify]: iters left: 3 (130 enodes) 74.994 * * [simplify]: iters left: 2 (182 enodes) 75.071 * * [simplify]: iters left: 1 (254 enodes) 75.152 * * [simplify]: Extracting #0: cost 1 inf + 0 75.152 * * [simplify]: Extracting #1: cost 5 inf + 0 75.152 * * [simplify]: Extracting #2: cost 8 inf + 1 75.152 * * [simplify]: Extracting #3: cost 28 inf + 1 75.153 * * [simplify]: Extracting #4: cost 43 inf + 44 75.153 * * [simplify]: Extracting #5: cost 32 inf + 1600 75.154 * * [simplify]: Extracting #6: cost 5 inf + 7620 75.156 * * [simplify]: Extracting #7: cost 0 inf + 9014 75.158 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))) 75.158 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (sqrt 2))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.160 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1)) 75.160 * * [simplify]: iters left: 6 (14 enodes) 75.164 * * [simplify]: iters left: 5 (51 enodes) 75.180 * * [simplify]: iters left: 4 (82 enodes) 75.208 * * [simplify]: iters left: 3 (140 enodes) 75.254 * * [simplify]: iters left: 2 (189 enodes) 75.318 * * [simplify]: iters left: 1 (254 enodes) 75.395 * * [simplify]: Extracting #0: cost 1 inf + 0 75.395 * * [simplify]: Extracting #1: cost 7 inf + 0 75.395 * * [simplify]: Extracting #2: cost 8 inf + 44 75.395 * * [simplify]: Extracting #3: cost 25 inf + 86 75.395 * * [simplify]: Extracting #4: cost 44 inf + 86 75.396 * * [simplify]: Extracting #5: cost 44 inf + 148 75.396 * * [simplify]: Extracting #6: cost 32 inf + 1809 75.397 * * [simplify]: Extracting #7: cost 6 inf + 8150 75.400 * * [simplify]: Extracting #8: cost 0 inf + 9664 75.402 * [simplify]: Simplified to (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) 75.402 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (sqrt 2))) (* (sqrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.402 * * * * [progress]: [ 192 / 614 ] simplifiying candidate # 75.402 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 75.402 * * [simplify]: iters left: 6 (16 enodes) 75.406 * * [simplify]: iters left: 5 (56 enodes) 75.416 * * [simplify]: iters left: 4 (84 enodes) 75.429 * * [simplify]: iters left: 3 (119 enodes) 75.463 * * [simplify]: iters left: 2 (131 enodes) 75.479 * * [simplify]: Extracting #0: cost 1 inf + 0 75.479 * * [simplify]: Extracting #1: cost 18 inf + 0 75.479 * * [simplify]: Extracting #2: cost 37 inf + 0 75.479 * * [simplify]: Extracting #3: cost 41 inf + 62 75.479 * * [simplify]: Extracting #4: cost 41 inf + 125 75.480 * * [simplify]: Extracting #5: cost 43 inf + 125 75.480 * * [simplify]: Extracting #6: cost 26 inf + 3230 75.482 * * [simplify]: Extracting #7: cost 4 inf + 12202 75.484 * * [simplify]: Extracting #8: cost 0 inf + 14172 75.487 * * [simplify]: Extracting #9: cost 0 inf + 14132 75.492 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 75.492 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.493 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 75.493 * * [simplify]: iters left: 6 (12 enodes) 75.499 * * [simplify]: iters left: 5 (40 enodes) 75.512 * * [simplify]: iters left: 4 (55 enodes) 75.521 * * [simplify]: iters left: 3 (58 enodes) 75.529 * * [simplify]: iters left: 2 (60 enodes) 75.537 * * [simplify]: Extracting #0: cost 1 inf + 0 75.538 * * [simplify]: Extracting #1: cost 8 inf + 0 75.538 * * [simplify]: Extracting #2: cost 14 inf + 1 75.538 * * [simplify]: Extracting #3: cost 19 inf + 1 75.538 * * [simplify]: Extracting #4: cost 21 inf + 2 75.538 * * [simplify]: Extracting #5: cost 23 inf + 2 75.538 * * [simplify]: Extracting #6: cost 22 inf + 3 75.538 * * [simplify]: Extracting #7: cost 16 inf + 651 75.538 * * [simplify]: Extracting #8: cost 6 inf + 2947 75.539 * * [simplify]: Extracting #9: cost 1 inf + 4637 75.540 * * [simplify]: Extracting #10: cost 0 inf + 5079 75.540 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1))) 75.540 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.540 * * * * [progress]: [ 193 / 614 ] simplifiying candidate # 75.541 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 75.541 * * [simplify]: iters left: 6 (15 enodes) 75.546 * * [simplify]: iters left: 5 (51 enodes) 75.555 * * [simplify]: iters left: 4 (71 enodes) 75.566 * * [simplify]: iters left: 3 (84 enodes) 75.578 * * [simplify]: iters left: 2 (88 enodes) 75.589 * * [simplify]: Extracting #0: cost 1 inf + 0 75.589 * * [simplify]: Extracting #1: cost 12 inf + 0 75.589 * * [simplify]: Extracting #2: cost 25 inf + 0 75.589 * * [simplify]: Extracting #3: cost 29 inf + 62 75.589 * * [simplify]: Extracting #4: cost 29 inf + 125 75.590 * * [simplify]: Extracting #5: cost 31 inf + 125 75.590 * * [simplify]: Extracting #6: cost 23 inf + 1016 75.590 * * [simplify]: Extracting #7: cost 11 inf + 3937 75.591 * * [simplify]: Extracting #8: cost 2 inf + 7678 75.592 * * [simplify]: Extracting #9: cost 0 inf + 8382 75.593 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 75.593 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.594 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 75.594 * * [simplify]: iters left: 6 (12 enodes) 75.597 * * [simplify]: iters left: 5 (40 enodes) 75.610 * * [simplify]: iters left: 4 (55 enodes) 75.625 * * [simplify]: iters left: 3 (58 enodes) 75.634 * * [simplify]: iters left: 2 (60 enodes) 75.644 * * [simplify]: Extracting #0: cost 1 inf + 0 75.644 * * [simplify]: Extracting #1: cost 8 inf + 0 75.644 * * [simplify]: Extracting #2: cost 14 inf + 1 75.644 * * [simplify]: Extracting #3: cost 19 inf + 1 75.644 * * [simplify]: Extracting #4: cost 21 inf + 2 75.644 * * [simplify]: Extracting #5: cost 23 inf + 2 75.644 * * [simplify]: Extracting #6: cost 22 inf + 3 75.644 * * [simplify]: Extracting #7: cost 16 inf + 651 75.644 * * [simplify]: Extracting #8: cost 6 inf + 2827 75.645 * * [simplify]: Extracting #9: cost 1 inf + 4357 75.646 * * [simplify]: Extracting #10: cost 0 inf + 4759 75.647 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1))) 75.647 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 75.647 * * * * [progress]: [ 194 / 614 ] simplifiying candidate # 75.648 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 75.648 * * [simplify]: iters left: 6 (17 enodes) 75.657 * * [simplify]: iters left: 5 (59 enodes) 75.676 * * [simplify]: iters left: 4 (100 enodes) 75.711 * * [simplify]: iters left: 3 (178 enodes) 75.755 * * [simplify]: iters left: 2 (293 enodes) 75.827 * * [simplify]: iters left: 1 (475 enodes) 76.073 * * [simplify]: Extracting #0: cost 1 inf + 0 76.073 * * [simplify]: Extracting #1: cost 105 inf + 0 76.074 * * [simplify]: Extracting #2: cost 208 inf + 1 76.075 * * [simplify]: Extracting #3: cost 202 inf + 1140 76.076 * * [simplify]: Extracting #4: cost 184 inf + 4231 76.079 * * [simplify]: Extracting #5: cost 119 inf + 27028 76.091 * * [simplify]: Extracting #6: cost 28 inf + 73493 76.113 * * [simplify]: Extracting #7: cost 0 inf + 89961 76.128 * * [simplify]: Extracting #8: cost 0 inf + 89801 76.145 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) 76.145 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.145 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 76.145 * * [simplify]: iters left: 6 (13 enodes) 76.152 * * [simplify]: iters left: 5 (45 enodes) 76.167 * * [simplify]: iters left: 4 (68 enodes) 76.187 * * [simplify]: iters left: 3 (89 enodes) 76.211 * * [simplify]: iters left: 2 (108 enodes) 76.239 * * [simplify]: iters left: 1 (127 enodes) 76.268 * * [simplify]: Extracting #0: cost 1 inf + 0 76.268 * * [simplify]: Extracting #1: cost 21 inf + 0 76.268 * * [simplify]: Extracting #2: cost 40 inf + 1 76.269 * * [simplify]: Extracting #3: cost 44 inf + 163 76.269 * * [simplify]: Extracting #4: cost 45 inf + 285 76.269 * * [simplify]: Extracting #5: cost 43 inf + 407 76.269 * * [simplify]: Extracting #6: cost 30 inf + 2745 76.270 * * [simplify]: Extracting #7: cost 10 inf + 9662 76.272 * * [simplify]: Extracting #8: cost 0 inf + 13641 76.274 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 76.274 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.274 * * * * [progress]: [ 195 / 614 ] simplifiying candidate # 76.276 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 76.276 * * [simplify]: iters left: 6 (16 enodes) 76.280 * * [simplify]: iters left: 5 (54 enodes) 76.289 * * [simplify]: iters left: 4 (85 enodes) 76.312 * * [simplify]: iters left: 3 (120 enodes) 76.346 * * [simplify]: iters left: 2 (146 enodes) 76.368 * * [simplify]: iters left: 1 (190 enodes) 76.421 * * [simplify]: Extracting #0: cost 1 inf + 0 76.422 * * [simplify]: Extracting #1: cost 45 inf + 0 76.422 * * [simplify]: Extracting #2: cost 100 inf + 1 76.422 * * [simplify]: Extracting #3: cost 98 inf + 393 76.423 * * [simplify]: Extracting #4: cost 86 inf + 1954 76.424 * * [simplify]: Extracting #5: cost 64 inf + 7489 76.428 * * [simplify]: Extracting #6: cost 15 inf + 28291 76.433 * * [simplify]: Extracting #7: cost 0 inf + 35648 76.439 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 76.439 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.440 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 76.440 * * [simplify]: iters left: 6 (13 enodes) 76.447 * * [simplify]: iters left: 5 (45 enodes) 76.461 * * [simplify]: iters left: 4 (68 enodes) 76.476 * * [simplify]: iters left: 3 (89 enodes) 76.491 * * [simplify]: iters left: 2 (108 enodes) 76.512 * * [simplify]: iters left: 1 (127 enodes) 76.547 * * [simplify]: Extracting #0: cost 1 inf + 0 76.547 * * [simplify]: Extracting #1: cost 21 inf + 0 76.547 * * [simplify]: Extracting #2: cost 40 inf + 1 76.547 * * [simplify]: Extracting #3: cost 44 inf + 83 76.548 * * [simplify]: Extracting #4: cost 45 inf + 165 76.548 * * [simplify]: Extracting #5: cost 43 inf + 247 76.549 * * [simplify]: Extracting #6: cost 30 inf + 2585 76.551 * * [simplify]: Extracting #7: cost 10 inf + 9022 76.554 * * [simplify]: Extracting #8: cost 0 inf + 12761 76.558 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 76.558 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.558 * * * * [progress]: [ 196 / 614 ] simplifiying candidate # 76.559 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 76.559 * * [simplify]: iters left: 6 (14 enodes) 76.566 * * [simplify]: iters left: 5 (47 enodes) 76.576 * * [simplify]: iters left: 4 (73 enodes) 76.589 * * [simplify]: iters left: 3 (100 enodes) 76.614 * * [simplify]: iters left: 2 (133 enodes) 76.641 * * [simplify]: iters left: 1 (242 enodes) 76.751 * * [simplify]: Extracting #0: cost 1 inf + 0 76.751 * * [simplify]: Extracting #1: cost 32 inf + 0 76.751 * * [simplify]: Extracting #2: cost 80 inf + 1 76.752 * * [simplify]: Extracting #3: cost 80 inf + 66 76.752 * * [simplify]: Extracting #4: cost 67 inf + 2106 76.753 * * [simplify]: Extracting #5: cost 52 inf + 6181 76.757 * * [simplify]: Extracting #6: cost 15 inf + 25655 76.762 * * [simplify]: Extracting #7: cost 0 inf + 35689 76.767 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 76.767 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.767 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 76.767 * * [simplify]: iters left: 6 (12 enodes) 76.771 * * [simplify]: iters left: 5 (42 enodes) 76.782 * * [simplify]: iters left: 4 (65 enodes) 76.802 * * [simplify]: iters left: 3 (83 enodes) 76.817 * * [simplify]: iters left: 2 (93 enodes) 76.829 * * [simplify]: iters left: 1 (100 enodes) 76.843 * * [simplify]: Extracting #0: cost 1 inf + 0 76.844 * * [simplify]: Extracting #1: cost 15 inf + 0 76.844 * * [simplify]: Extracting #2: cost 28 inf + 1 76.844 * * [simplify]: Extracting #3: cost 32 inf + 42 76.844 * * [simplify]: Extracting #4: cost 33 inf + 84 76.845 * * [simplify]: Extracting #5: cost 32 inf + 85 76.845 * * [simplify]: Extracting #6: cost 28 inf + 409 76.846 * * [simplify]: Extracting #7: cost 10 inf + 5077 76.849 * * [simplify]: Extracting #8: cost 1 inf + 8055 76.851 * * [simplify]: Extracting #9: cost 0 inf + 8457 76.854 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 76.854 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 76.854 * * * * [progress]: [ 197 / 614 ] simplifiying candidate # 76.854 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 76.855 * * [simplify]: iters left: 6 (20 enodes) 76.865 * * [simplify]: iters left: 5 (71 enodes) 76.879 * * [simplify]: iters left: 4 (109 enodes) 76.903 * * [simplify]: iters left: 3 (181 enodes) 76.950 * * [simplify]: iters left: 2 (346 enodes) 77.088 * * [simplify]: Extracting #0: cost 1 inf + 0 77.089 * * [simplify]: Extracting #1: cost 61 inf + 0 77.089 * * [simplify]: Extracting #2: cost 132 inf + 0 77.092 * * [simplify]: Extracting #3: cost 133 inf + 468 77.093 * * [simplify]: Extracting #4: cost 133 inf + 1337 77.093 * * [simplify]: Extracting #5: cost 126 inf + 2585 77.097 * * [simplify]: Extracting #6: cost 60 inf + 29529 77.108 * * [simplify]: Extracting #7: cost 1 inf + 61220 77.123 * * [simplify]: Extracting #8: cost 0 inf + 61602 77.135 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) 77.135 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.135 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 77.135 * * [simplify]: iters left: 6 (15 enodes) 77.140 * * [simplify]: iters left: 5 (51 enodes) 77.148 * * [simplify]: iters left: 4 (74 enodes) 77.170 * * [simplify]: iters left: 3 (95 enodes) 77.196 * * [simplify]: iters left: 2 (114 enodes) 77.228 * * [simplify]: iters left: 1 (133 enodes) 77.264 * * [simplify]: Extracting #0: cost 1 inf + 0 77.264 * * [simplify]: Extracting #1: cost 21 inf + 0 77.264 * * [simplify]: Extracting #2: cost 40 inf + 1 77.265 * * [simplify]: Extracting #3: cost 46 inf + 82 77.265 * * [simplify]: Extracting #4: cost 47 inf + 406 77.265 * * [simplify]: Extracting #5: cost 46 inf + 488 77.267 * * [simplify]: Extracting #6: cost 22 inf + 5724 77.270 * * [simplify]: Extracting #7: cost 5 inf + 12755 77.274 * * [simplify]: Extracting #8: cost 0 inf + 15485 77.278 * [simplify]: Simplified to (/ (* (cbrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 77.278 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.279 * * * * [progress]: [ 198 / 614 ] simplifiying candidate # 77.279 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 77.279 * * [simplify]: iters left: 6 (19 enodes) 77.289 * * [simplify]: iters left: 5 (66 enodes) 77.310 * * [simplify]: iters left: 4 (96 enodes) 77.338 * * [simplify]: iters left: 3 (139 enodes) 77.362 * * [simplify]: iters left: 2 (191 enodes) 77.408 * * [simplify]: iters left: 1 (254 enodes) 77.471 * * [simplify]: Extracting #0: cost 1 inf + 0 77.471 * * [simplify]: Extracting #1: cost 36 inf + 0 77.471 * * [simplify]: Extracting #2: cost 70 inf + 0 77.472 * * [simplify]: Extracting #3: cost 74 inf + 104 77.472 * * [simplify]: Extracting #4: cost 75 inf + 491 77.472 * * [simplify]: Extracting #5: cost 64 inf + 2325 77.474 * * [simplify]: Extracting #6: cost 37 inf + 10293 77.480 * * [simplify]: Extracting #7: cost 2 inf + 27885 77.491 * * [simplify]: Extracting #8: cost 0 inf + 28830 77.502 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt a1)) 77.502 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (sqrt a1)) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.502 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 77.503 * * [simplify]: iters left: 6 (15 enodes) 77.510 * * [simplify]: iters left: 5 (51 enodes) 77.519 * * [simplify]: iters left: 4 (74 enodes) 77.531 * * [simplify]: iters left: 3 (95 enodes) 77.544 * * [simplify]: iters left: 2 (114 enodes) 77.562 * * [simplify]: iters left: 1 (133 enodes) 77.581 * * [simplify]: Extracting #0: cost 1 inf + 0 77.581 * * [simplify]: Extracting #1: cost 21 inf + 0 77.581 * * [simplify]: Extracting #2: cost 40 inf + 1 77.581 * * [simplify]: Extracting #3: cost 46 inf + 42 77.581 * * [simplify]: Extracting #4: cost 47 inf + 246 77.582 * * [simplify]: Extracting #5: cost 46 inf + 328 77.582 * * [simplify]: Extracting #6: cost 22 inf + 5284 77.584 * * [simplify]: Extracting #7: cost 5 inf + 12035 77.586 * * [simplify]: Extracting #8: cost 0 inf + 14605 77.590 * [simplify]: Simplified to (/ (* (sqrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 77.590 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.591 * * * * [progress]: [ 199 / 614 ] simplifiying candidate # 77.591 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 77.591 * * [simplify]: iters left: 6 (17 enodes) 77.600 * * [simplify]: iters left: 5 (58 enodes) 77.619 * * [simplify]: iters left: 4 (80 enodes) 77.631 * * [simplify]: iters left: 3 (104 enodes) 77.655 * * [simplify]: iters left: 2 (139 enodes) 77.703 * * [simplify]: iters left: 1 (211 enodes) 77.794 * * [simplify]: Extracting #0: cost 1 inf + 0 77.794 * * [simplify]: Extracting #1: cost 21 inf + 0 77.795 * * [simplify]: Extracting #2: cost 47 inf + 1 77.795 * * [simplify]: Extracting #3: cost 51 inf + 63 77.795 * * [simplify]: Extracting #4: cost 56 inf + 124 77.795 * * [simplify]: Extracting #5: cost 42 inf + 2521 77.798 * * [simplify]: Extracting #6: cost 7 inf + 15602 77.802 * * [simplify]: Extracting #7: cost 0 inf + 18775 77.806 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (fabs (cbrt 2)))) 77.806 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.806 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 77.806 * * [simplify]: iters left: 6 (14 enodes) 77.810 * * [simplify]: iters left: 5 (48 enodes) 77.819 * * [simplify]: iters left: 4 (71 enodes) 77.842 * * [simplify]: iters left: 3 (89 enodes) 77.864 * * [simplify]: iters left: 2 (99 enodes) 77.893 * * [simplify]: iters left: 1 (106 enodes) 77.920 * * [simplify]: Extracting #0: cost 1 inf + 0 77.921 * * [simplify]: Extracting #1: cost 15 inf + 0 77.921 * * [simplify]: Extracting #2: cost 28 inf + 1 77.921 * * [simplify]: Extracting #3: cost 33 inf + 42 77.921 * * [simplify]: Extracting #4: cost 36 inf + 84 77.922 * * [simplify]: Extracting #5: cost 35 inf + 166 77.922 * * [simplify]: Extracting #6: cost 23 inf + 1781 77.924 * * [simplify]: Extracting #7: cost 8 inf + 6327 77.926 * * [simplify]: Extracting #8: cost 0 inf + 9821 77.929 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt (cbrt 2))) a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 77.929 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ a1 (* (/ (cbrt (sqrt (cbrt 2))) a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 77.930 * * * * [progress]: [ 200 / 614 ] simplifiying candidate # 77.930 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 77.930 * * [simplify]: iters left: 6 (18 enodes) 77.939 * * [simplify]: iters left: 5 (64 enodes) 77.960 * * [simplify]: iters left: 4 (102 enodes) 77.994 * * [simplify]: iters left: 3 (174 enodes) 78.063 * * [simplify]: iters left: 2 (339 enodes) 78.202 * * [simplify]: Extracting #0: cost 1 inf + 0 78.202 * * [simplify]: Extracting #1: cost 61 inf + 0 78.203 * * [simplify]: Extracting #2: cost 132 inf + 0 78.203 * * [simplify]: Extracting #3: cost 133 inf + 326 78.204 * * [simplify]: Extracting #4: cost 130 inf + 1337 78.205 * * [simplify]: Extracting #5: cost 120 inf + 3774 78.210 * * [simplify]: Extracting #6: cost 36 inf + 40438 78.223 * * [simplify]: Extracting #7: cost 0 inf + 56617 78.234 * * [simplify]: Extracting #8: cost 0 inf + 56577 78.257 * [simplify]: Simplified to (/ (cos th) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 78.257 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 78.257 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 78.258 * * [simplify]: iters left: 6 (14 enodes) 78.263 * * [simplify]: iters left: 5 (48 enodes) 78.272 * * [simplify]: iters left: 4 (71 enodes) 78.283 * * [simplify]: iters left: 3 (92 enodes) 78.297 * * [simplify]: iters left: 2 (111 enodes) 78.326 * * [simplify]: iters left: 1 (130 enodes) 78.364 * * [simplify]: Extracting #0: cost 1 inf + 0 78.364 * * [simplify]: Extracting #1: cost 21 inf + 0 78.365 * * [simplify]: Extracting #2: cost 40 inf + 1 78.365 * * [simplify]: Extracting #3: cost 44 inf + 284 78.365 * * [simplify]: Extracting #4: cost 46 inf + 406 78.366 * * [simplify]: Extracting #5: cost 45 inf + 407 78.366 * * [simplify]: Extracting #6: cost 35 inf + 2100 78.369 * * [simplify]: Extracting #7: cost 5 inf + 11873 78.373 * * [simplify]: Extracting #8: cost 0 inf + 13803 78.377 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1))) 78.377 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 78.377 * * * * [progress]: [ 201 / 614 ] simplifiying candidate # 78.378 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 78.378 * * [simplify]: iters left: 6 (17 enodes) 78.387 * * [simplify]: iters left: 5 (59 enodes) 78.406 * * [simplify]: iters left: 4 (89 enodes) 78.430 * * [simplify]: iters left: 3 (132 enodes) 78.450 * * [simplify]: iters left: 2 (184 enodes) 78.499 * * [simplify]: iters left: 1 (247 enodes) 78.547 * * [simplify]: Extracting #0: cost 1 inf + 0 78.547 * * [simplify]: Extracting #1: cost 36 inf + 0 78.550 * * [simplify]: Extracting #2: cost 70 inf + 0 78.550 * * [simplify]: Extracting #3: cost 72 inf + 165 78.551 * * [simplify]: Extracting #4: cost 72 inf + 491 78.552 * * [simplify]: Extracting #5: cost 52 inf + 4461 78.560 * * [simplify]: Extracting #6: cost 8 inf + 22029 78.570 * * [simplify]: Extracting #7: cost 0 inf + 25866 78.580 * [simplify]: Simplified to (* (sqrt a1) (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 78.580 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 78.581 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 78.581 * * [simplify]: iters left: 6 (14 enodes) 78.589 * * [simplify]: iters left: 5 (48 enodes) 78.604 * * [simplify]: iters left: 4 (71 enodes) 78.625 * * [simplify]: iters left: 3 (92 enodes) 78.650 * * [simplify]: iters left: 2 (111 enodes) 78.678 * * [simplify]: iters left: 1 (130 enodes) 78.717 * * [simplify]: Extracting #0: cost 1 inf + 0 78.717 * * [simplify]: Extracting #1: cost 21 inf + 0 78.717 * * [simplify]: Extracting #2: cost 40 inf + 1 78.718 * * [simplify]: Extracting #3: cost 44 inf + 164 78.718 * * [simplify]: Extracting #4: cost 46 inf + 246 78.718 * * [simplify]: Extracting #5: cost 45 inf + 247 78.719 * * [simplify]: Extracting #6: cost 35 inf + 1900 78.722 * * [simplify]: Extracting #7: cost 5 inf + 11153 78.726 * * [simplify]: Extracting #8: cost 0 inf + 12923 78.730 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 78.730 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 78.730 * * * * [progress]: [ 202 / 614 ] simplifiying candidate # 78.730 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 78.731 * * [simplify]: iters left: 6 (15 enodes) 78.739 * * [simplify]: iters left: 5 (51 enodes) 78.753 * * [simplify]: iters left: 4 (73 enodes) 78.764 * * [simplify]: iters left: 3 (97 enodes) 78.780 * * [simplify]: iters left: 2 (132 enodes) 78.828 * * [simplify]: iters left: 1 (204 enodes) 78.899 * * [simplify]: Extracting #0: cost 1 inf + 0 78.899 * * [simplify]: Extracting #1: cost 21 inf + 0 78.900 * * [simplify]: Extracting #2: cost 45 inf + 1 78.900 * * [simplify]: Extracting #3: cost 47 inf + 124 78.900 * * [simplify]: Extracting #4: cost 51 inf + 124 78.900 * * [simplify]: Extracting #5: cost 37 inf + 2320 78.902 * * [simplify]: Extracting #6: cost 8 inf + 12632 78.906 * * [simplify]: Extracting #7: cost 0 inf + 15807 78.909 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 78.910 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 78.910 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 78.910 * * [simplify]: iters left: 6 (13 enodes) 78.920 * * [simplify]: iters left: 5 (45 enodes) 78.934 * * [simplify]: iters left: 4 (68 enodes) 78.956 * * [simplify]: iters left: 3 (86 enodes) 78.970 * * [simplify]: iters left: 2 (96 enodes) 78.983 * * [simplify]: iters left: 1 (103 enodes) 79.003 * * [simplify]: Extracting #0: cost 1 inf + 0 79.003 * * [simplify]: Extracting #1: cost 15 inf + 0 79.003 * * [simplify]: Extracting #2: cost 28 inf + 1 79.003 * * [simplify]: Extracting #3: cost 32 inf + 83 79.004 * * [simplify]: Extracting #4: cost 35 inf + 84 79.004 * * [simplify]: Extracting #5: cost 34 inf + 85 79.004 * * [simplify]: Extracting #6: cost 29 inf + 531 79.006 * * [simplify]: Extracting #7: cost 10 inf + 5681 79.008 * * [simplify]: Extracting #8: cost 0 inf + 8619 79.011 * [simplify]: Simplified to (* a1 (/ a1 (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))) 79.011 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* a1 (/ a1 (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.011 * * * * [progress]: [ 203 / 614 ] simplifiying candidate # 79.012 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 79.012 * * [simplify]: iters left: 6 (18 enodes) 79.024 * * [simplify]: iters left: 5 (64 enodes) 79.047 * * [simplify]: iters left: 4 (100 enodes) 79.064 * * [simplify]: iters left: 3 (173 enodes) 79.126 * * [simplify]: iters left: 2 (334 enodes) 79.286 * * [simplify]: Extracting #0: cost 1 inf + 0 79.287 * * [simplify]: Extracting #1: cost 38 inf + 0 79.287 * * [simplify]: Extracting #2: cost 88 inf + 1 79.287 * * [simplify]: Extracting #3: cost 82 inf + 955 79.288 * * [simplify]: Extracting #4: cost 63 inf + 4696 79.289 * * [simplify]: Extracting #5: cost 63 inf + 5100 79.290 * * [simplify]: Extracting #6: cost 54 inf + 6551 79.294 * * [simplify]: Extracting #7: cost 16 inf + 21679 79.300 * * [simplify]: Extracting #8: cost 0 inf + 29005 79.306 * [simplify]: Simplified to (* (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cos th)) 79.306 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cos th)) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.306 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 79.306 * * [simplify]: iters left: 6 (12 enodes) 79.310 * * [simplify]: iters left: 5 (42 enodes) 79.319 * * [simplify]: iters left: 4 (65 enodes) 79.329 * * [simplify]: iters left: 3 (86 enodes) 79.341 * * [simplify]: iters left: 2 (112 enodes) 79.356 * * [simplify]: iters left: 1 (154 enodes) 79.397 * * [simplify]: Extracting #0: cost 1 inf + 0 79.397 * * [simplify]: Extracting #1: cost 25 inf + 0 79.398 * * [simplify]: Extracting #2: cost 49 inf + 83 79.398 * * [simplify]: Extracting #3: cost 49 inf + 448 79.399 * * [simplify]: Extracting #4: cost 48 inf + 449 79.400 * * [simplify]: Extracting #5: cost 27 inf + 5444 79.404 * * [simplify]: Extracting #6: cost 3 inf + 12653 79.407 * * [simplify]: Extracting #7: cost 0 inf + 13779 79.409 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 79.409 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cos th)) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.410 * * * * [progress]: [ 204 / 614 ] simplifiying candidate # 79.410 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) (sqrt a1))) 79.410 * * [simplify]: iters left: 6 (17 enodes) 79.417 * * [simplify]: iters left: 5 (59 enodes) 79.427 * * [simplify]: iters left: 4 (84 enodes) 79.444 * * [simplify]: iters left: 3 (111 enodes) 79.479 * * [simplify]: iters left: 2 (160 enodes) 79.522 * * [simplify]: iters left: 1 (228 enodes) 79.574 * * [simplify]: Extracting #0: cost 1 inf + 0 79.574 * * [simplify]: Extracting #1: cost 18 inf + 0 79.574 * * [simplify]: Extracting #2: cost 36 inf + 1 79.575 * * [simplify]: Extracting #3: cost 36 inf + 166 79.575 * * [simplify]: Extracting #4: cost 33 inf + 635 79.575 * * [simplify]: Extracting #5: cost 33 inf + 859 79.575 * * [simplify]: Extracting #6: cost 27 inf + 1346 79.576 * * [simplify]: Extracting #7: cost 17 inf + 4224 79.578 * * [simplify]: Extracting #8: cost 2 inf + 9554 79.580 * * [simplify]: Extracting #9: cost 0 inf + 10278 79.582 * [simplify]: Simplified to (/ (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 79.582 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.582 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 79.582 * * [simplify]: iters left: 6 (12 enodes) 79.586 * * [simplify]: iters left: 5 (42 enodes) 79.593 * * [simplify]: iters left: 4 (65 enodes) 79.606 * * [simplify]: iters left: 3 (86 enodes) 79.618 * * [simplify]: iters left: 2 (112 enodes) 79.638 * * [simplify]: iters left: 1 (154 enodes) 79.681 * * [simplify]: Extracting #0: cost 1 inf + 0 79.681 * * [simplify]: Extracting #1: cost 25 inf + 0 79.681 * * [simplify]: Extracting #2: cost 49 inf + 43 79.682 * * [simplify]: Extracting #3: cost 49 inf + 288 79.682 * * [simplify]: Extracting #4: cost 48 inf + 289 79.683 * * [simplify]: Extracting #5: cost 27 inf + 5004 79.685 * * [simplify]: Extracting #6: cost 3 inf + 11733 79.689 * * [simplify]: Extracting #7: cost 0 inf + 12779 79.691 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 79.691 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.691 * * * * [progress]: [ 205 / 614 ] simplifiying candidate # 79.692 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt 1)) 1)) 79.692 * * [simplify]: iters left: 6 (15 enodes) 79.701 * * [simplify]: iters left: 5 (51 enodes) 79.718 * * [simplify]: iters left: 4 (67 enodes) 79.736 * * [simplify]: iters left: 3 (73 enodes) 79.755 * * [simplify]: iters left: 2 (84 enodes) 79.781 * * [simplify]: iters left: 1 (124 enodes) 79.837 * * [simplify]: Extracting #0: cost 1 inf + 0 79.837 * * [simplify]: Extracting #1: cost 13 inf + 0 79.837 * * [simplify]: Extracting #2: cost 23 inf + 1 79.838 * * [simplify]: Extracting #3: cost 22 inf + 226 79.838 * * [simplify]: Extracting #4: cost 24 inf + 328 79.838 * * [simplify]: Extracting #5: cost 26 inf + 328 79.839 * * [simplify]: Extracting #6: cost 22 inf + 532 79.839 * * [simplify]: Extracting #7: cost 14 inf + 2102 79.841 * * [simplify]: Extracting #8: cost 2 inf + 6105 79.845 * * [simplify]: Extracting #9: cost 0 inf + 6769 79.848 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 79.848 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.848 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 79.848 * * [simplify]: iters left: 6 (11 enodes) 79.855 * * [simplify]: iters left: 5 (39 enodes) 79.868 * * [simplify]: iters left: 4 (62 enodes) 79.887 * * [simplify]: iters left: 3 (80 enodes) 79.908 * * [simplify]: iters left: 2 (97 enodes) 79.937 * * [simplify]: iters left: 1 (119 enodes) 79.976 * * [simplify]: Extracting #0: cost 1 inf + 0 79.976 * * [simplify]: Extracting #1: cost 23 inf + 0 79.976 * * [simplify]: Extracting #2: cost 39 inf + 2 79.976 * * [simplify]: Extracting #3: cost 40 inf + 125 79.977 * * [simplify]: Extracting #4: cost 38 inf + 167 79.977 * * [simplify]: Extracting #5: cost 28 inf + 1625 79.978 * * [simplify]: Extracting #6: cost 9 inf + 6458 79.979 * * [simplify]: Extracting #7: cost 0 inf + 9357 79.981 * [simplify]: Simplified to (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 79.981 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 79.981 * * * * [progress]: [ 206 / 614 ] simplifiying candidate # 79.981 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 79.982 * * [simplify]: iters left: 6 (18 enodes) 79.986 * * [simplify]: iters left: 5 (64 enodes) 79.997 * * [simplify]: iters left: 4 (102 enodes) 80.022 * * [simplify]: iters left: 3 (174 enodes) 80.093 * * [simplify]: iters left: 2 (339 enodes) 80.233 * * [simplify]: Extracting #0: cost 1 inf + 0 80.233 * * [simplify]: Extracting #1: cost 61 inf + 0 80.234 * * [simplify]: Extracting #2: cost 132 inf + 0 80.235 * * [simplify]: Extracting #3: cost 133 inf + 326 80.236 * * [simplify]: Extracting #4: cost 130 inf + 1337 80.237 * * [simplify]: Extracting #5: cost 120 inf + 3774 80.248 * * [simplify]: Extracting #6: cost 36 inf + 40438 80.263 * * [simplify]: Extracting #7: cost 0 inf + 56617 80.274 * * [simplify]: Extracting #8: cost 0 inf + 56577 80.288 * [simplify]: Simplified to (/ (cos th) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 80.288 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (/ (cbrt (sqrt (sqrt 2))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 80.288 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 80.289 * * [simplify]: iters left: 6 (14 enodes) 80.296 * * [simplify]: iters left: 5 (48 enodes) 80.308 * * [simplify]: iters left: 4 (71 enodes) 80.318 * * [simplify]: iters left: 3 (92 enodes) 80.333 * * [simplify]: iters left: 2 (111 enodes) 80.360 * * [simplify]: iters left: 1 (130 enodes) 80.396 * * [simplify]: Extracting #0: cost 1 inf + 0 80.396 * * [simplify]: Extracting #1: cost 21 inf + 0 80.396 * * [simplify]: Extracting #2: cost 40 inf + 1 80.396 * * [simplify]: Extracting #3: cost 44 inf + 284 80.397 * * [simplify]: Extracting #4: cost 46 inf + 406 80.397 * * [simplify]: Extracting #5: cost 45 inf + 407 80.398 * * [simplify]: Extracting #6: cost 35 inf + 2100 80.400 * * [simplify]: Extracting #7: cost 5 inf + 11873 80.406 * * [simplify]: Extracting #8: cost 0 inf + 13803 80.410 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1))) 80.410 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 80.410 * * * * [progress]: [ 207 / 614 ] simplifiying candidate # 80.411 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 80.411 * * [simplify]: iters left: 6 (17 enodes) 80.420 * * [simplify]: iters left: 5 (59 enodes) 80.439 * * [simplify]: iters left: 4 (89 enodes) 80.466 * * [simplify]: iters left: 3 (132 enodes) 80.494 * * [simplify]: iters left: 2 (184 enodes) 80.543 * * [simplify]: iters left: 1 (247 enodes) 80.607 * * [simplify]: Extracting #0: cost 1 inf + 0 80.607 * * [simplify]: Extracting #1: cost 36 inf + 0 80.608 * * [simplify]: Extracting #2: cost 70 inf + 0 80.608 * * [simplify]: Extracting #3: cost 72 inf + 165 80.608 * * [simplify]: Extracting #4: cost 72 inf + 491 80.609 * * [simplify]: Extracting #5: cost 52 inf + 4461 80.613 * * [simplify]: Extracting #6: cost 8 inf + 22029 80.618 * * [simplify]: Extracting #7: cost 0 inf + 25866 80.629 * [simplify]: Simplified to (* (sqrt a1) (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 80.629 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 80.629 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 80.630 * * [simplify]: iters left: 6 (14 enodes) 80.637 * * [simplify]: iters left: 5 (48 enodes) 80.647 * * [simplify]: iters left: 4 (71 enodes) 80.658 * * [simplify]: iters left: 3 (92 enodes) 80.670 * * [simplify]: iters left: 2 (111 enodes) 80.685 * * [simplify]: iters left: 1 (130 enodes) 80.702 * * [simplify]: Extracting #0: cost 1 inf + 0 80.702 * * [simplify]: Extracting #1: cost 21 inf + 0 80.702 * * [simplify]: Extracting #2: cost 40 inf + 1 80.702 * * [simplify]: Extracting #3: cost 44 inf + 164 80.702 * * [simplify]: Extracting #4: cost 46 inf + 246 80.703 * * [simplify]: Extracting #5: cost 45 inf + 247 80.703 * * [simplify]: Extracting #6: cost 35 inf + 1900 80.704 * * [simplify]: Extracting #7: cost 5 inf + 11153 80.706 * * [simplify]: Extracting #8: cost 0 inf + 12923 80.708 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 80.708 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 80.708 * * * * [progress]: [ 208 / 614 ] simplifiying candidate # 80.708 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 80.709 * * [simplify]: iters left: 6 (15 enodes) 80.713 * * [simplify]: iters left: 5 (51 enodes) 80.723 * * [simplify]: iters left: 4 (73 enodes) 80.744 * * [simplify]: iters left: 3 (97 enodes) 80.774 * * [simplify]: iters left: 2 (132 enodes) 80.821 * * [simplify]: iters left: 1 (204 enodes) 80.914 * * [simplify]: Extracting #0: cost 1 inf + 0 80.914 * * [simplify]: Extracting #1: cost 21 inf + 0 80.915 * * [simplify]: Extracting #2: cost 45 inf + 1 80.915 * * [simplify]: Extracting #3: cost 47 inf + 124 80.916 * * [simplify]: Extracting #4: cost 51 inf + 124 80.917 * * [simplify]: Extracting #5: cost 37 inf + 2320 80.921 * * [simplify]: Extracting #6: cost 8 inf + 12632 80.928 * * [simplify]: Extracting #7: cost 0 inf + 15807 80.935 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 80.935 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 80.935 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 80.936 * * [simplify]: iters left: 6 (13 enodes) 80.942 * * [simplify]: iters left: 5 (45 enodes) 80.958 * * [simplify]: iters left: 4 (68 enodes) 80.981 * * [simplify]: iters left: 3 (86 enodes) 81.004 * * [simplify]: iters left: 2 (96 enodes) 81.029 * * [simplify]: iters left: 1 (103 enodes) 81.056 * * [simplify]: Extracting #0: cost 1 inf + 0 81.056 * * [simplify]: Extracting #1: cost 15 inf + 0 81.056 * * [simplify]: Extracting #2: cost 28 inf + 1 81.057 * * [simplify]: Extracting #3: cost 32 inf + 83 81.057 * * [simplify]: Extracting #4: cost 35 inf + 84 81.057 * * [simplify]: Extracting #5: cost 34 inf + 85 81.058 * * [simplify]: Extracting #6: cost 29 inf + 531 81.059 * * [simplify]: Extracting #7: cost 10 inf + 5681 81.062 * * [simplify]: Extracting #8: cost 0 inf + 8619 81.064 * [simplify]: Simplified to (* a1 (/ a1 (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))))) 81.065 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) (* a1 (/ a1 (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.065 * * * * [progress]: [ 209 / 614 ] simplifiying candidate # 81.065 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 81.065 * * [simplify]: iters left: 6 (17 enodes) 81.076 * * [simplify]: iters left: 5 (61 enodes) 81.095 * * [simplify]: iters left: 4 (97 enodes) 81.126 * * [simplify]: iters left: 3 (172 enodes) 81.179 * * [simplify]: iters left: 2 (333 enodes) 81.322 * * [simplify]: Extracting #0: cost 1 inf + 0 81.322 * * [simplify]: Extracting #1: cost 49 inf + 0 81.323 * * [simplify]: Extracting #2: cost 105 inf + 1 81.324 * * [simplify]: Extracting #3: cost 103 inf + 268 81.325 * * [simplify]: Extracting #4: cost 93 inf + 2211 81.327 * * [simplify]: Extracting #5: cost 78 inf + 5403 81.329 * * [simplify]: Extracting #6: cost 67 inf + 7800 81.338 * * [simplify]: Extracting #7: cost 13 inf + 29202 81.347 * * [simplify]: Extracting #8: cost 0 inf + 35181 81.354 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) 81.354 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.354 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 81.354 * * [simplify]: iters left: 6 (12 enodes) 81.358 * * [simplify]: iters left: 5 (42 enodes) 81.365 * * [simplify]: iters left: 4 (65 enodes) 81.378 * * [simplify]: iters left: 3 (86 enodes) 81.394 * * [simplify]: iters left: 2 (112 enodes) 81.426 * * [simplify]: iters left: 1 (154 enodes) 81.465 * * [simplify]: Extracting #0: cost 1 inf + 0 81.465 * * [simplify]: Extracting #1: cost 25 inf + 0 81.466 * * [simplify]: Extracting #2: cost 49 inf + 83 81.466 * * [simplify]: Extracting #3: cost 49 inf + 448 81.466 * * [simplify]: Extracting #4: cost 48 inf + 449 81.467 * * [simplify]: Extracting #5: cost 27 inf + 5444 81.469 * * [simplify]: Extracting #6: cost 3 inf + 12653 81.472 * * [simplify]: Extracting #7: cost 0 inf + 13779 81.474 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 81.474 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.475 * * * * [progress]: [ 210 / 614 ] simplifiying candidate # 81.475 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) (sqrt a1))) 81.476 * * [simplify]: iters left: 6 (16 enodes) 81.481 * * [simplify]: iters left: 5 (56 enodes) 81.491 * * [simplify]: iters left: 4 (81 enodes) 81.503 * * [simplify]: iters left: 3 (108 enodes) 81.534 * * [simplify]: iters left: 2 (155 enodes) 81.573 * * [simplify]: iters left: 1 (223 enodes) 81.613 * * [simplify]: Extracting #0: cost 1 inf + 0 81.613 * * [simplify]: Extracting #1: cost 19 inf + 0 81.613 * * [simplify]: Extracting #2: cost 37 inf + 1 81.613 * * [simplify]: Extracting #3: cost 37 inf + 64 81.613 * * [simplify]: Extracting #4: cost 35 inf + 411 81.614 * * [simplify]: Extracting #5: cost 34 inf + 717 81.614 * * [simplify]: Extracting #6: cost 27 inf + 1346 81.615 * * [simplify]: Extracting #7: cost 20 inf + 3197 81.616 * * [simplify]: Extracting #8: cost 4 inf + 8689 81.618 * * [simplify]: Extracting #9: cost 0 inf + 10278 81.620 * [simplify]: Simplified to (/ (/ (sqrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 81.620 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.621 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 81.621 * * [simplify]: iters left: 6 (12 enodes) 81.624 * * [simplify]: iters left: 5 (42 enodes) 81.632 * * [simplify]: iters left: 4 (65 enodes) 81.642 * * [simplify]: iters left: 3 (86 enodes) 81.656 * * [simplify]: iters left: 2 (112 enodes) 81.687 * * [simplify]: iters left: 1 (154 enodes) 81.719 * * [simplify]: Extracting #0: cost 1 inf + 0 81.719 * * [simplify]: Extracting #1: cost 25 inf + 0 81.719 * * [simplify]: Extracting #2: cost 49 inf + 43 81.719 * * [simplify]: Extracting #3: cost 49 inf + 288 81.719 * * [simplify]: Extracting #4: cost 48 inf + 289 81.720 * * [simplify]: Extracting #5: cost 27 inf + 5004 81.723 * * [simplify]: Extracting #6: cost 3 inf + 11733 81.725 * * [simplify]: Extracting #7: cost 0 inf + 12779 81.727 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 81.728 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.728 * * * * [progress]: [ 211 / 614 ] simplifiying candidate # 81.728 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt 1) 1)) 81.728 * * [simplify]: iters left: 6 (14 enodes) 81.735 * * [simplify]: iters left: 5 (48 enodes) 81.753 * * [simplify]: iters left: 4 (64 enodes) 81.771 * * [simplify]: iters left: 3 (70 enodes) 81.790 * * [simplify]: iters left: 2 (81 enodes) 81.807 * * [simplify]: iters left: 1 (121 enodes) 81.833 * * [simplify]: Extracting #0: cost 1 inf + 0 81.833 * * [simplify]: Extracting #1: cost 13 inf + 0 81.833 * * [simplify]: Extracting #2: cost 23 inf + 1 81.833 * * [simplify]: Extracting #3: cost 24 inf + 63 81.834 * * [simplify]: Extracting #4: cost 25 inf + 226 81.834 * * [simplify]: Extracting #5: cost 26 inf + 328 81.835 * * [simplify]: Extracting #6: cost 22 inf + 532 81.836 * * [simplify]: Extracting #7: cost 12 inf + 2948 81.838 * * [simplify]: Extracting #8: cost 1 inf + 6447 81.842 * * [simplify]: Extracting #9: cost 0 inf + 6769 81.845 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 81.845 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.846 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 81.846 * * [simplify]: iters left: 6 (11 enodes) 81.852 * * [simplify]: iters left: 5 (39 enodes) 81.860 * * [simplify]: iters left: 4 (62 enodes) 81.870 * * [simplify]: iters left: 3 (80 enodes) 81.882 * * [simplify]: iters left: 2 (97 enodes) 81.908 * * [simplify]: iters left: 1 (119 enodes) 81.927 * * [simplify]: Extracting #0: cost 1 inf + 0 81.927 * * [simplify]: Extracting #1: cost 23 inf + 0 81.927 * * [simplify]: Extracting #2: cost 39 inf + 2 81.927 * * [simplify]: Extracting #3: cost 40 inf + 125 81.927 * * [simplify]: Extracting #4: cost 38 inf + 167 81.928 * * [simplify]: Extracting #5: cost 28 inf + 1625 81.928 * * [simplify]: Extracting #6: cost 9 inf + 6458 81.930 * * [simplify]: Extracting #7: cost 0 inf + 9357 81.932 * [simplify]: Simplified to (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 81.932 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 81.932 * * * * [progress]: [ 212 / 614 ] simplifiying candidate # 81.932 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 81.932 * * [simplify]: iters left: 6 (18 enodes) 81.941 * * [simplify]: iters left: 5 (68 enodes) 81.967 * * [simplify]: iters left: 4 (130 enodes) 81.993 * * [simplify]: iters left: 3 (289 enodes) 82.107 * * [simplify]: Extracting #0: cost 1 inf + 0 82.108 * * [simplify]: Extracting #1: cost 76 inf + 0 82.109 * * [simplify]: Extracting #2: cost 172 inf + 0 82.110 * * [simplify]: Extracting #3: cost 172 inf + 386 82.112 * * [simplify]: Extracting #4: cost 168 inf + 1337 82.114 * * [simplify]: Extracting #5: cost 157 inf + 3431 82.124 * * [simplify]: Extracting #6: cost 79 inf + 38756 82.154 * * [simplify]: Extracting #7: cost 6 inf + 74907 82.170 * * [simplify]: Extracting #8: cost 0 inf + 78103 82.185 * * [simplify]: Extracting #9: cost 0 inf + 78063 82.200 * [simplify]: Simplified to (/ (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) 82.200 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 82.200 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 82.200 * * [simplify]: iters left: 6 (13 enodes) 82.204 * * [simplify]: iters left: 5 (45 enodes) 82.213 * * [simplify]: iters left: 4 (68 enodes) 82.235 * * [simplify]: iters left: 3 (89 enodes) 82.261 * * [simplify]: iters left: 2 (108 enodes) 82.288 * * [simplify]: iters left: 1 (127 enodes) 82.322 * * [simplify]: Extracting #0: cost 1 inf + 0 82.322 * * [simplify]: Extracting #1: cost 21 inf + 0 82.323 * * [simplify]: Extracting #2: cost 40 inf + 1 82.323 * * [simplify]: Extracting #3: cost 44 inf + 163 82.323 * * [simplify]: Extracting #4: cost 45 inf + 285 82.324 * * [simplify]: Extracting #5: cost 43 inf + 407 82.324 * * [simplify]: Extracting #6: cost 30 inf + 2745 82.327 * * [simplify]: Extracting #7: cost 10 inf + 9662 82.330 * * [simplify]: Extracting #8: cost 0 inf + 13641 82.334 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 82.334 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 82.334 * * * * [progress]: [ 213 / 614 ] simplifiying candidate # 82.335 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 82.335 * * [simplify]: iters left: 6 (17 enodes) 82.339 * * [simplify]: iters left: 5 (61 enodes) 82.350 * * [simplify]: iters left: 4 (100 enodes) 82.367 * * [simplify]: iters left: 3 (183 enodes) 82.444 * * [simplify]: iters left: 2 (370 enodes) 82.588 * * [simplify]: Extracting #0: cost 1 inf + 0 82.589 * * [simplify]: Extracting #1: cost 66 inf + 0 82.589 * * [simplify]: Extracting #2: cost 135 inf + 0 82.591 * * [simplify]: Extracting #3: cost 137 inf + 246 82.592 * * [simplify]: Extracting #4: cost 136 inf + 491 82.593 * * [simplify]: Extracting #5: cost 129 inf + 1499 82.601 * * [simplify]: Extracting #6: cost 54 inf + 31012 82.612 * * [simplify]: Extracting #7: cost 1 inf + 55327 82.623 * * [simplify]: Extracting #8: cost 0 inf + 55749 82.635 * * [simplify]: Extracting #9: cost 0 inf + 55709 82.657 * [simplify]: Simplified to (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 82.657 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 82.658 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 82.658 * * [simplify]: iters left: 6 (13 enodes) 82.661 * * [simplify]: iters left: 5 (45 enodes) 82.672 * * [simplify]: iters left: 4 (68 enodes) 82.683 * * [simplify]: iters left: 3 (89 enodes) 82.700 * * [simplify]: iters left: 2 (108 enodes) 82.723 * * [simplify]: iters left: 1 (127 enodes) 82.741 * * [simplify]: Extracting #0: cost 1 inf + 0 82.741 * * [simplify]: Extracting #1: cost 21 inf + 0 82.741 * * [simplify]: Extracting #2: cost 40 inf + 1 82.741 * * [simplify]: Extracting #3: cost 44 inf + 83 82.742 * * [simplify]: Extracting #4: cost 45 inf + 165 82.742 * * [simplify]: Extracting #5: cost 43 inf + 247 82.742 * * [simplify]: Extracting #6: cost 30 inf + 2585 82.743 * * [simplify]: Extracting #7: cost 10 inf + 9022 82.745 * * [simplify]: Extracting #8: cost 0 inf + 12761 82.747 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 82.747 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 82.747 * * * * [progress]: [ 214 / 614 ] simplifiying candidate # 82.747 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 82.747 * * [simplify]: iters left: 6 (15 enodes) 82.751 * * [simplify]: iters left: 5 (53 enodes) 82.763 * * [simplify]: iters left: 4 (91 enodes) 82.795 * * [simplify]: iters left: 3 (163 enodes) 82.867 * * [simplify]: iters left: 2 (288 enodes) 82.986 * * [simplify]: iters left: 1 (496 enodes) 83.226 * * [simplify]: Extracting #0: cost 1 inf + 0 83.226 * * [simplify]: Extracting #1: cost 34 inf + 0 83.226 * * [simplify]: Extracting #2: cost 69 inf + 1 83.229 * * [simplify]: Extracting #3: cost 72 inf + 63 83.230 * * [simplify]: Extracting #4: cost 74 inf + 124 83.231 * * [simplify]: Extracting #5: cost 68 inf + 730 83.236 * * [simplify]: Extracting #6: cost 21 inf + 16812 83.252 * * [simplify]: Extracting #7: cost 0 inf + 25669 83.262 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 83.262 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 83.263 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 83.263 * * [simplify]: iters left: 6 (12 enodes) 83.266 * * [simplify]: iters left: 5 (42 enodes) 83.273 * * [simplify]: iters left: 4 (65 enodes) 83.284 * * [simplify]: iters left: 3 (83 enodes) 83.299 * * [simplify]: iters left: 2 (93 enodes) 83.315 * * [simplify]: iters left: 1 (100 enodes) 83.335 * * [simplify]: Extracting #0: cost 1 inf + 0 83.335 * * [simplify]: Extracting #1: cost 15 inf + 0 83.335 * * [simplify]: Extracting #2: cost 28 inf + 1 83.335 * * [simplify]: Extracting #3: cost 32 inf + 42 83.336 * * [simplify]: Extracting #4: cost 33 inf + 84 83.337 * * [simplify]: Extracting #5: cost 32 inf + 85 83.338 * * [simplify]: Extracting #6: cost 28 inf + 409 83.339 * * [simplify]: Extracting #7: cost 10 inf + 5077 83.342 * * [simplify]: Extracting #8: cost 1 inf + 8055 83.344 * * [simplify]: Extracting #9: cost 0 inf + 8457 83.347 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 83.347 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 83.347 * * * * [progress]: [ 215 / 614 ] simplifiying candidate # 83.348 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 83.348 * * [simplify]: iters left: 6 (17 enodes) 83.357 * * [simplify]: iters left: 5 (61 enodes) 83.376 * * [simplify]: iters left: 4 (99 enodes) 83.403 * * [simplify]: iters left: 3 (171 enodes) 83.444 * * [simplify]: iters left: 2 (336 enodes) 83.546 * * [simplify]: Extracting #0: cost 1 inf + 0 83.546 * * [simplify]: Extracting #1: cost 61 inf + 0 83.547 * * [simplify]: Extracting #2: cost 132 inf + 0 83.548 * * [simplify]: Extracting #3: cost 131 inf + 568 83.549 * * [simplify]: Extracting #4: cost 128 inf + 1337 83.550 * * [simplify]: Extracting #5: cost 121 inf + 2345 83.560 * * [simplify]: Extracting #6: cost 45 inf + 33374 83.579 * * [simplify]: Extracting #7: cost 2 inf + 51771 83.599 * * [simplify]: Extracting #8: cost 0 inf + 52655 83.620 * [simplify]: Simplified to (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 83.620 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 83.621 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 83.621 * * [simplify]: iters left: 6 (13 enodes) 83.628 * * [simplify]: iters left: 5 (45 enodes) 83.927 * * [simplify]: iters left: 4 (68 enodes) 83.947 * * [simplify]: iters left: 3 (89 enodes) 83.971 * * [simplify]: iters left: 2 (108 enodes) 83.998 * * [simplify]: iters left: 1 (127 enodes) 84.018 * * [simplify]: Extracting #0: cost 1 inf + 0 84.018 * * [simplify]: Extracting #1: cost 21 inf + 0 84.018 * * [simplify]: Extracting #2: cost 40 inf + 1 84.018 * * [simplify]: Extracting #3: cost 44 inf + 163 84.019 * * [simplify]: Extracting #4: cost 45 inf + 285 84.019 * * [simplify]: Extracting #5: cost 43 inf + 407 84.019 * * [simplify]: Extracting #6: cost 30 inf + 2665 84.020 * * [simplify]: Extracting #7: cost 10 inf + 9102 84.022 * * [simplify]: Extracting #8: cost 0 inf + 12681 84.024 * [simplify]: Simplified to (/ (cbrt a1) (/ (sqrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 84.024 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (sqrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 84.024 * * * * [progress]: [ 216 / 614 ] simplifiying candidate # 84.025 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 84.025 * * [simplify]: iters left: 6 (16 enodes) 84.029 * * [simplify]: iters left: 5 (56 enodes) 84.046 * * [simplify]: iters left: 4 (86 enodes) 84.072 * * [simplify]: iters left: 3 (129 enodes) 84.111 * * [simplify]: iters left: 2 (181 enodes) 84.163 * * [simplify]: iters left: 1 (244 enodes) 84.247 * * [simplify]: Extracting #0: cost 1 inf + 0 84.247 * * [simplify]: Extracting #1: cost 36 inf + 0 84.248 * * [simplify]: Extracting #2: cost 70 inf + 0 84.248 * * [simplify]: Extracting #3: cost 71 inf + 145 84.249 * * [simplify]: Extracting #4: cost 70 inf + 491 84.250 * * [simplify]: Extracting #5: cost 58 inf + 2849 84.256 * * [simplify]: Extracting #6: cost 19 inf + 16606 84.265 * * [simplify]: Extracting #7: cost 2 inf + 22900 84.275 * * [simplify]: Extracting #8: cost 0 inf + 23704 84.285 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 84.285 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 84.286 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 84.286 * * [simplify]: iters left: 6 (13 enodes) 84.293 * * [simplify]: iters left: 5 (45 enodes) 84.307 * * [simplify]: iters left: 4 (68 enodes) 84.320 * * [simplify]: iters left: 3 (89 enodes) 84.333 * * [simplify]: iters left: 2 (108 enodes) 84.352 * * [simplify]: iters left: 1 (127 enodes) 84.386 * * [simplify]: Extracting #0: cost 1 inf + 0 84.386 * * [simplify]: Extracting #1: cost 21 inf + 0 84.387 * * [simplify]: Extracting #2: cost 40 inf + 1 84.387 * * [simplify]: Extracting #3: cost 44 inf + 83 84.387 * * [simplify]: Extracting #4: cost 45 inf + 165 84.387 * * [simplify]: Extracting #5: cost 43 inf + 247 84.388 * * [simplify]: Extracting #6: cost 30 inf + 2505 84.390 * * [simplify]: Extracting #7: cost 10 inf + 8462 84.393 * * [simplify]: Extracting #8: cost 0 inf + 11801 84.396 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 84.396 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 84.396 * * * * [progress]: [ 217 / 614 ] simplifiying candidate # 84.396 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 84.396 * * [simplify]: iters left: 6 (14 enodes) 84.400 * * [simplify]: iters left: 5 (48 enodes) 84.410 * * [simplify]: iters left: 4 (70 enodes) 84.424 * * [simplify]: iters left: 3 (94 enodes) 84.444 * * [simplify]: iters left: 2 (129 enodes) 84.467 * * [simplify]: iters left: 1 (201 enodes) 84.540 * * [simplify]: Extracting #0: cost 1 inf + 0 84.541 * * [simplify]: Extracting #1: cost 21 inf + 0 84.541 * * [simplify]: Extracting #2: cost 44 inf + 1 84.541 * * [simplify]: Extracting #3: cost 46 inf + 63 84.542 * * [simplify]: Extracting #4: cost 48 inf + 124 84.542 * * [simplify]: Extracting #5: cost 35 inf + 2541 84.544 * * [simplify]: Extracting #6: cost 7 inf + 11350 84.547 * * [simplify]: Extracting #7: cost 0 inf + 14023 84.551 * [simplify]: Simplified to (/ (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 84.551 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 84.551 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 84.551 * * [simplify]: iters left: 6 (12 enodes) 84.555 * * [simplify]: iters left: 5 (42 enodes) 84.562 * * [simplify]: iters left: 4 (65 enodes) 84.574 * * [simplify]: iters left: 3 (83 enodes) 84.597 * * [simplify]: iters left: 2 (93 enodes) 84.627 * * [simplify]: iters left: 1 (100 enodes) 84.652 * * [simplify]: Extracting #0: cost 1 inf + 0 84.652 * * [simplify]: Extracting #1: cost 15 inf + 0 84.652 * * [simplify]: Extracting #2: cost 28 inf + 1 84.652 * * [simplify]: Extracting #3: cost 32 inf + 42 84.653 * * [simplify]: Extracting #4: cost 33 inf + 84 84.653 * * [simplify]: Extracting #5: cost 32 inf + 85 84.653 * * [simplify]: Extracting #6: cost 28 inf + 409 84.654 * * [simplify]: Extracting #7: cost 10 inf + 4677 84.657 * * [simplify]: Extracting #8: cost 1 inf + 7455 84.659 * * [simplify]: Extracting #9: cost 0 inf + 7817 84.662 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) a1)) 84.662 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 84.662 * * * * [progress]: [ 218 / 614 ] simplifiying candidate # 84.663 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 84.663 * * [simplify]: iters left: 6 (16 enodes) 84.671 * * [simplify]: iters left: 5 (58 enodes) 84.690 * * [simplify]: iters left: 4 (92 enodes) 84.720 * * [simplify]: iters left: 3 (148 enodes) 84.767 * * [simplify]: iters left: 2 (284 enodes) 84.885 * * [simplify]: iters left: 1 (440 enodes) 85.044 * * [simplify]: Extracting #0: cost 1 inf + 0 85.044 * * [simplify]: Extracting #1: cost 37 inf + 0 85.045 * * [simplify]: Extracting #2: cost 94 inf + 1 85.045 * * [simplify]: Extracting #3: cost 80 inf + 2006 85.046 * * [simplify]: Extracting #4: cost 67 inf + 5062 85.047 * * [simplify]: Extracting #5: cost 67 inf + 5447 85.049 * * [simplify]: Extracting #6: cost 55 inf + 8505 85.053 * * [simplify]: Extracting #7: cost 11 inf + 26065 85.060 * * [simplify]: Extracting #8: cost 0 inf + 30977 85.068 * [simplify]: Simplified to (* (cos th) (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 85.069 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.069 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 85.069 * * [simplify]: iters left: 6 (12 enodes) 85.075 * * [simplify]: iters left: 5 (42 enodes) 85.087 * * [simplify]: iters left: 4 (65 enodes) 85.097 * * [simplify]: iters left: 3 (86 enodes) 85.109 * * [simplify]: iters left: 2 (112 enodes) 85.132 * * [simplify]: iters left: 1 (154 enodes) 85.167 * * [simplify]: Extracting #0: cost 1 inf + 0 85.167 * * [simplify]: Extracting #1: cost 25 inf + 0 85.167 * * [simplify]: Extracting #2: cost 49 inf + 83 85.168 * * [simplify]: Extracting #3: cost 49 inf + 448 85.169 * * [simplify]: Extracting #4: cost 48 inf + 449 85.170 * * [simplify]: Extracting #5: cost 27 inf + 5444 85.174 * * [simplify]: Extracting #6: cost 3 inf + 12653 85.179 * * [simplify]: Extracting #7: cost 0 inf + 13779 85.183 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 85.183 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.183 * * * * [progress]: [ 219 / 614 ] simplifiying candidate # 85.183 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (sqrt a1))) 85.183 * * [simplify]: iters left: 6 (15 enodes) 85.187 * * [simplify]: iters left: 5 (53 enodes) 85.197 * * [simplify]: iters left: 4 (79 enodes) 85.208 * * [simplify]: iters left: 3 (107 enodes) 85.227 * * [simplify]: iters left: 2 (146 enodes) 85.252 * * [simplify]: iters left: 1 (184 enodes) 85.279 * * [simplify]: Extracting #0: cost 1 inf + 0 85.279 * * [simplify]: Extracting #1: cost 21 inf + 0 85.279 * * [simplify]: Extracting #2: cost 47 inf + 1 85.280 * * [simplify]: Extracting #3: cost 43 inf + 370 85.280 * * [simplify]: Extracting #4: cost 37 inf + 1407 85.280 * * [simplify]: Extracting #5: cost 38 inf + 1509 85.281 * * [simplify]: Extracting #6: cost 29 inf + 2879 85.283 * * [simplify]: Extracting #7: cost 4 inf + 11573 85.285 * * [simplify]: Extracting #8: cost 0 inf + 13062 85.287 * [simplify]: Simplified to (/ (/ (* (cos th) (sqrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 85.287 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) (sqrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.288 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 85.288 * * [simplify]: iters left: 6 (12 enodes) 85.291 * * [simplify]: iters left: 5 (42 enodes) 85.298 * * [simplify]: iters left: 4 (65 enodes) 85.316 * * [simplify]: iters left: 3 (86 enodes) 85.341 * * [simplify]: iters left: 2 (112 enodes) 85.372 * * [simplify]: iters left: 1 (154 enodes) 85.431 * * [simplify]: Extracting #0: cost 1 inf + 0 85.431 * * [simplify]: Extracting #1: cost 25 inf + 0 85.431 * * [simplify]: Extracting #2: cost 49 inf + 43 85.432 * * [simplify]: Extracting #3: cost 49 inf + 288 85.432 * * [simplify]: Extracting #4: cost 48 inf + 289 85.434 * * [simplify]: Extracting #5: cost 27 inf + 5004 85.438 * * [simplify]: Extracting #6: cost 3 inf + 11733 85.443 * * [simplify]: Extracting #7: cost 0 inf + 12779 85.447 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 85.447 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 (sqrt a1))) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.447 * * * * [progress]: [ 220 / 614 ] simplifiying candidate # 85.447 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 1)) 85.447 * * [simplify]: iters left: 6 (13 enodes) 85.453 * * [simplify]: iters left: 5 (43 enodes) 85.460 * * [simplify]: iters left: 4 (60 enodes) 85.468 * * [simplify]: iters left: 3 (63 enodes) 85.479 * * [simplify]: iters left: 2 (64 enodes) 85.493 * * [simplify]: Extracting #0: cost 1 inf + 0 85.493 * * [simplify]: Extracting #1: cost 7 inf + 0 85.493 * * [simplify]: Extracting #2: cost 12 inf + 1 85.493 * * [simplify]: Extracting #3: cost 14 inf + 2 85.494 * * [simplify]: Extracting #4: cost 15 inf + 124 85.494 * * [simplify]: Extracting #5: cost 17 inf + 124 85.494 * * [simplify]: Extracting #6: cost 14 inf + 207 85.494 * * [simplify]: Extracting #7: cost 11 inf + 610 85.495 * * [simplify]: Extracting #8: cost 3 inf + 2481 85.496 * * [simplify]: Extracting #9: cost 0 inf + 3587 85.497 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 85.497 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.497 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 85.497 * * [simplify]: iters left: 6 (11 enodes) 85.500 * * [simplify]: iters left: 5 (39 enodes) 85.507 * * [simplify]: iters left: 4 (62 enodes) 85.516 * * [simplify]: iters left: 3 (80 enodes) 85.527 * * [simplify]: iters left: 2 (97 enodes) 85.546 * * [simplify]: iters left: 1 (119 enodes) 85.566 * * [simplify]: Extracting #0: cost 1 inf + 0 85.566 * * [simplify]: Extracting #1: cost 23 inf + 0 85.566 * * [simplify]: Extracting #2: cost 39 inf + 2 85.566 * * [simplify]: Extracting #3: cost 40 inf + 125 85.566 * * [simplify]: Extracting #4: cost 38 inf + 167 85.567 * * [simplify]: Extracting #5: cost 28 inf + 1625 85.568 * * [simplify]: Extracting #6: cost 9 inf + 6458 85.569 * * [simplify]: Extracting #7: cost 0 inf + 9357 85.571 * [simplify]: Simplified to (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 85.571 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ 1 1)) (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.571 * * * * [progress]: [ 221 / 614 ] simplifiying candidate # 85.571 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 85.571 * * [simplify]: iters left: 6 (12 enodes) 85.575 * * [simplify]: iters left: 5 (40 enodes) 85.582 * * [simplify]: iters left: 4 (58 enodes) 85.590 * * [simplify]: iters left: 3 (63 enodes) 85.598 * * [simplify]: Extracting #0: cost 1 inf + 0 85.598 * * [simplify]: Extracting #1: cost 7 inf + 0 85.599 * * [simplify]: Extracting #2: cost 12 inf + 1 85.599 * * [simplify]: Extracting #3: cost 12 inf + 124 85.599 * * [simplify]: Extracting #4: cost 15 inf + 124 85.599 * * [simplify]: Extracting #5: cost 17 inf + 124 85.599 * * [simplify]: Extracting #6: cost 14 inf + 207 85.599 * * [simplify]: Extracting #7: cost 9 inf + 933 85.599 * * [simplify]: Extracting #8: cost 3 inf + 2582 85.600 * * [simplify]: Extracting #9: cost 0 inf + 3587 85.601 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 85.601 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.601 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 85.601 * * [simplify]: iters left: 6 (11 enodes) 85.604 * * [simplify]: iters left: 5 (39 enodes) 85.618 * * [simplify]: iters left: 4 (62 enodes) 85.639 * * [simplify]: iters left: 3 (80 enodes) 85.650 * * [simplify]: iters left: 2 (97 enodes) 85.665 * * [simplify]: iters left: 1 (119 enodes) 85.685 * * [simplify]: Extracting #0: cost 1 inf + 0 85.685 * * [simplify]: Extracting #1: cost 23 inf + 0 85.685 * * [simplify]: Extracting #2: cost 39 inf + 2 85.686 * * [simplify]: Extracting #3: cost 40 inf + 125 85.686 * * [simplify]: Extracting #4: cost 38 inf + 167 85.687 * * [simplify]: Extracting #5: cost 28 inf + 1625 85.689 * * [simplify]: Extracting #6: cost 9 inf + 6458 85.692 * * [simplify]: Extracting #7: cost 0 inf + 9357 85.696 * [simplify]: Simplified to (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 85.696 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* a1 a1) (* (cbrt (sqrt 2)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.696 * * * * [progress]: [ 222 / 614 ] simplifiying candidate # 85.696 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (cbrt (sqrt 2))) 85.696 * * [simplify]: iters left: 6 (12 enodes) 85.703 * * [simplify]: iters left: 5 (42 enodes) 85.717 * * [simplify]: iters left: 4 (62 enodes) 85.731 * * [simplify]: iters left: 3 (75 enodes) 85.745 * * [simplify]: iters left: 2 (82 enodes) 85.757 * * [simplify]: iters left: 1 (109 enodes) 85.776 * * [simplify]: Extracting #0: cost 1 inf + 0 85.776 * * [simplify]: Extracting #1: cost 23 inf + 0 85.776 * * [simplify]: Extracting #2: cost 40 inf + 1 85.776 * * [simplify]: Extracting #3: cost 40 inf + 124 85.776 * * [simplify]: Extracting #4: cost 35 inf + 490 85.777 * * [simplify]: Extracting #5: cost 25 inf + 2823 85.779 * * [simplify]: Extracting #6: cost 5 inf + 9501 85.783 * * [simplify]: Extracting #7: cost 0 inf + 11371 85.788 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) 85.788 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.788 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1)) 85.788 * * [simplify]: iters left: 6 (11 enodes) 85.795 * * [simplify]: iters left: 5 (39 enodes) 85.809 * * [simplify]: iters left: 4 (58 enodes) 85.827 * * [simplify]: iters left: 3 (69 enodes) 85.843 * * [simplify]: iters left: 2 (83 enodes) 85.855 * * [simplify]: Extracting #0: cost 1 inf + 0 85.855 * * [simplify]: Extracting #1: cost 9 inf + 0 85.855 * * [simplify]: Extracting #2: cost 11 inf + 85 85.855 * * [simplify]: Extracting #3: cost 12 inf + 168 85.855 * * [simplify]: Extracting #4: cost 15 inf + 168 85.855 * * [simplify]: Extracting #5: cost 17 inf + 168 85.855 * * [simplify]: Extracting #6: cost 16 inf + 169 85.856 * * [simplify]: Extracting #7: cost 11 inf + 696 85.856 * * [simplify]: Extracting #8: cost 7 inf + 1380 85.856 * * [simplify]: Extracting #9: cost 0 inf + 3393 85.857 * [simplify]: Simplified to (* a1 (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 85.857 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (cbrt (sqrt 2))) (* a1 (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.857 * * * * [progress]: [ 223 / 614 ] simplifiying candidate # 85.857 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 85.857 * * [simplify]: iters left: 6 (15 enodes) 85.861 * * [simplify]: iters left: 5 (51 enodes) 85.878 * * [simplify]: iters left: 4 (72 enodes) 85.898 * * [simplify]: iters left: 3 (82 enodes) 85.909 * * [simplify]: iters left: 2 (87 enodes) 85.920 * * [simplify]: Extracting #0: cost 1 inf + 0 85.920 * * [simplify]: Extracting #1: cost 10 inf + 0 85.920 * * [simplify]: Extracting #2: cost 24 inf + 0 85.920 * * [simplify]: Extracting #3: cost 31 inf + 62 85.920 * * [simplify]: Extracting #4: cost 31 inf + 125 85.921 * * [simplify]: Extracting #5: cost 22 inf + 1296 85.921 * * [simplify]: Extracting #6: cost 13 inf + 3072 85.922 * * [simplify]: Extracting #7: cost 1 inf + 7483 85.923 * * [simplify]: Extracting #8: cost 0 inf + 7906 85.924 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 85.924 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.924 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 85.924 * * [simplify]: iters left: 6 (12 enodes) 85.929 * * [simplify]: iters left: 5 (40 enodes) 85.942 * * [simplify]: iters left: 4 (56 enodes) 85.960 * * [simplify]: iters left: 3 (59 enodes) 85.977 * * [simplify]: iters left: 2 (61 enodes) 85.993 * * [simplify]: Extracting #0: cost 1 inf + 0 85.993 * * [simplify]: Extracting #1: cost 8 inf + 0 85.993 * * [simplify]: Extracting #2: cost 15 inf + 1 85.993 * * [simplify]: Extracting #3: cost 21 inf + 1 85.994 * * [simplify]: Extracting #4: cost 23 inf + 2 85.994 * * [simplify]: Extracting #5: cost 22 inf + 3 85.994 * * [simplify]: Extracting #6: cost 13 inf + 1175 85.995 * * [simplify]: Extracting #7: cost 4 inf + 3311 85.996 * * [simplify]: Extracting #8: cost 0 inf + 4439 85.997 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1))) 85.997 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 85.997 * * * * [progress]: [ 224 / 614 ] simplifiying candidate # 85.998 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 85.998 * * [simplify]: iters left: 6 (14 enodes) 86.006 * * [simplify]: iters left: 5 (46 enodes) 86.022 * * [simplify]: iters left: 4 (62 enodes) 86.039 * * [simplify]: iters left: 3 (65 enodes) 86.049 * * [simplify]: iters left: 2 (67 enodes) 86.058 * * [simplify]: Extracting #0: cost 1 inf + 0 86.058 * * [simplify]: Extracting #1: cost 8 inf + 0 86.058 * * [simplify]: Extracting #2: cost 18 inf + 0 86.058 * * [simplify]: Extracting #3: cost 22 inf + 123 86.058 * * [simplify]: Extracting #4: cost 23 inf + 125 86.059 * * [simplify]: Extracting #5: cost 16 inf + 914 86.059 * * [simplify]: Extracting #6: cost 7 inf + 2831 86.059 * * [simplify]: Extracting #7: cost 1 inf + 4324 86.060 * * [simplify]: Extracting #8: cost 0 inf + 4606 86.061 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 86.061 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.061 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 86.061 * * [simplify]: iters left: 6 (12 enodes) 86.064 * * [simplify]: iters left: 5 (40 enodes) 86.072 * * [simplify]: iters left: 4 (56 enodes) 86.090 * * [simplify]: iters left: 3 (59 enodes) 86.099 * * [simplify]: iters left: 2 (61 enodes) 86.107 * * [simplify]: Extracting #0: cost 1 inf + 0 86.107 * * [simplify]: Extracting #1: cost 8 inf + 0 86.107 * * [simplify]: Extracting #2: cost 15 inf + 1 86.107 * * [simplify]: Extracting #3: cost 21 inf + 1 86.107 * * [simplify]: Extracting #4: cost 23 inf + 2 86.107 * * [simplify]: Extracting #5: cost 22 inf + 3 86.107 * * [simplify]: Extracting #6: cost 13 inf + 1175 86.108 * * [simplify]: Extracting #7: cost 4 inf + 3111 86.108 * * [simplify]: Extracting #8: cost 0 inf + 4119 86.109 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 86.109 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.109 * * * * [progress]: [ 225 / 614 ] simplifiying candidate # 86.109 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 86.109 * * [simplify]: iters left: 6 (16 enodes) 86.113 * * [simplify]: iters left: 5 (56 enodes) 86.124 * * [simplify]: iters left: 4 (88 enodes) 86.151 * * [simplify]: iters left: 3 (132 enodes) 86.182 * * [simplify]: iters left: 2 (205 enodes) 86.234 * * [simplify]: iters left: 1 (271 enodes) 86.331 * * [simplify]: Extracting #0: cost 1 inf + 0 86.331 * * [simplify]: Extracting #1: cost 41 inf + 0 86.332 * * [simplify]: Extracting #2: cost 78 inf + 0 86.332 * * [simplify]: Extracting #3: cost 77 inf + 649 86.333 * * [simplify]: Extracting #4: cost 76 inf + 1115 86.334 * * [simplify]: Extracting #5: cost 66 inf + 2407 86.340 * * [simplify]: Extracting #6: cost 26 inf + 17415 86.350 * * [simplify]: Extracting #7: cost 0 inf + 28859 86.360 * [simplify]: Simplified to (/ (* (* (cos th) (cbrt a1)) (/ (cbrt a1) (fabs (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 86.360 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cos th) (cbrt a1)) (/ (cbrt a1) (fabs (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.361 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 86.361 * * [simplify]: iters left: 6 (13 enodes) 86.368 * * [simplify]: iters left: 5 (45 enodes) 86.383 * * [simplify]: iters left: 4 (69 enodes) 86.404 * * [simplify]: iters left: 3 (90 enodes) 86.424 * * [simplify]: iters left: 2 (109 enodes) 86.440 * * [simplify]: iters left: 1 (128 enodes) 86.460 * * [simplify]: Extracting #0: cost 1 inf + 0 86.460 * * [simplify]: Extracting #1: cost 21 inf + 0 86.460 * * [simplify]: Extracting #2: cost 40 inf + 1 86.461 * * [simplify]: Extracting #3: cost 43 inf + 284 86.461 * * [simplify]: Extracting #4: cost 44 inf + 406 86.461 * * [simplify]: Extracting #5: cost 43 inf + 407 86.462 * * [simplify]: Extracting #6: cost 32 inf + 2062 86.464 * * [simplify]: Extracting #7: cost 9 inf + 8743 86.467 * * [simplify]: Extracting #8: cost 0 inf + 11801 86.470 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) 86.470 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.471 * * * * [progress]: [ 226 / 614 ] simplifiying candidate # 86.471 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 86.471 * * [simplify]: iters left: 6 (15 enodes) 86.479 * * [simplify]: iters left: 5 (51 enodes) 86.489 * * [simplify]: iters left: 4 (75 enodes) 86.500 * * [simplify]: iters left: 3 (96 enodes) 86.513 * * [simplify]: iters left: 2 (115 enodes) 86.544 * * [simplify]: iters left: 1 (134 enodes) 86.581 * * [simplify]: Extracting #0: cost 1 inf + 0 86.581 * * [simplify]: Extracting #1: cost 21 inf + 0 86.581 * * [simplify]: Extracting #2: cost 44 inf + 0 86.582 * * [simplify]: Extracting #3: cost 45 inf + 145 86.582 * * [simplify]: Extracting #4: cost 45 inf + 349 86.583 * * [simplify]: Extracting #5: cost 33 inf + 1986 86.585 * * [simplify]: Extracting #6: cost 7 inf + 10498 86.590 * * [simplify]: Extracting #7: cost 0 inf + 13152 86.594 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 86.594 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.595 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 86.595 * * [simplify]: iters left: 6 (13 enodes) 86.602 * * [simplify]: iters left: 5 (45 enodes) 86.619 * * [simplify]: iters left: 4 (69 enodes) 86.639 * * [simplify]: iters left: 3 (90 enodes) 86.663 * * [simplify]: iters left: 2 (109 enodes) 86.694 * * [simplify]: iters left: 1 (128 enodes) 86.713 * * [simplify]: Extracting #0: cost 1 inf + 0 86.713 * * [simplify]: Extracting #1: cost 21 inf + 0 86.713 * * [simplify]: Extracting #2: cost 40 inf + 1 86.714 * * [simplify]: Extracting #3: cost 43 inf + 164 86.714 * * [simplify]: Extracting #4: cost 44 inf + 246 86.714 * * [simplify]: Extracting #5: cost 43 inf + 247 86.714 * * [simplify]: Extracting #6: cost 32 inf + 1902 86.715 * * [simplify]: Extracting #7: cost 9 inf + 8103 86.717 * * [simplify]: Extracting #8: cost 0 inf + 10921 86.718 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) 86.718 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.718 * * * * [progress]: [ 227 / 614 ] simplifiying candidate # 86.719 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 86.719 * * [simplify]: iters left: 6 (13 enodes) 86.722 * * [simplify]: iters left: 5 (43 enodes) 86.733 * * [simplify]: iters left: 4 (61 enodes) 86.746 * * [simplify]: iters left: 3 (71 enodes) 86.756 * * [simplify]: iters left: 2 (83 enodes) 86.768 * * [simplify]: iters left: 1 (109 enodes) 86.806 * * [simplify]: Extracting #0: cost 1 inf + 0 86.806 * * [simplify]: Extracting #1: cost 13 inf + 0 86.807 * * [simplify]: Extracting #2: cost 26 inf + 1 86.807 * * [simplify]: Extracting #3: cost 28 inf + 63 86.807 * * [simplify]: Extracting #4: cost 30 inf + 124 86.808 * * [simplify]: Extracting #5: cost 24 inf + 852 86.809 * * [simplify]: Extracting #6: cost 10 inf + 4113 86.812 * * [simplify]: Extracting #7: cost 0 inf + 7351 86.814 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 86.814 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.815 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 86.815 * * [simplify]: iters left: 6 (12 enodes) 86.821 * * [simplify]: iters left: 5 (42 enodes) 86.836 * * [simplify]: iters left: 4 (66 enodes) 86.856 * * [simplify]: iters left: 3 (84 enodes) 86.878 * * [simplify]: iters left: 2 (94 enodes) 86.895 * * [simplify]: iters left: 1 (101 enodes) 86.911 * * [simplify]: Extracting #0: cost 1 inf + 0 86.911 * * [simplify]: Extracting #1: cost 15 inf + 0 86.911 * * [simplify]: Extracting #2: cost 28 inf + 1 86.911 * * [simplify]: Extracting #3: cost 31 inf + 83 86.911 * * [simplify]: Extracting #4: cost 33 inf + 84 86.911 * * [simplify]: Extracting #5: cost 32 inf + 85 86.912 * * [simplify]: Extracting #6: cost 20 inf + 2262 86.912 * * [simplify]: Extracting #7: cost 2 inf + 6693 86.913 * * [simplify]: Extracting #8: cost 0 inf + 7177 86.914 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 86.914 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 86.915 * * * * [progress]: [ 228 / 614 ] simplifiying candidate # 86.915 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 86.915 * * [simplify]: iters left: 6 (19 enodes) 86.920 * * [simplify]: iters left: 5 (66 enodes) 86.939 * * [simplify]: iters left: 4 (98 enodes) 86.960 * * [simplify]: iters left: 3 (142 enodes) 86.984 * * [simplify]: iters left: 2 (215 enodes) 87.050 * * [simplify]: iters left: 1 (282 enodes) 87.120 * * [simplify]: Extracting #0: cost 1 inf + 0 87.120 * * [simplify]: Extracting #1: cost 41 inf + 0 87.120 * * [simplify]: Extracting #2: cost 79 inf + 0 87.121 * * [simplify]: Extracting #3: cost 84 inf + 265 87.122 * * [simplify]: Extracting #4: cost 82 inf + 1115 87.123 * * [simplify]: Extracting #5: cost 73 inf + 2287 87.127 * * [simplify]: Extracting #6: cost 28 inf + 17843 87.136 * * [simplify]: Extracting #7: cost 1 inf + 30144 87.141 * * [simplify]: Extracting #8: cost 0 inf + 30545 87.146 * [simplify]: Simplified to (/ (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt a1))) (fabs (cbrt (sqrt 2)))) 87.146 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt a1))) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.147 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 87.147 * * [simplify]: iters left: 6 (15 enodes) 87.152 * * [simplify]: iters left: 5 (51 enodes) 87.160 * * [simplify]: iters left: 4 (75 enodes) 87.177 * * [simplify]: iters left: 3 (96 enodes) 87.204 * * [simplify]: iters left: 2 (115 enodes) 87.228 * * [simplify]: iters left: 1 (134 enodes) 87.250 * * [simplify]: Extracting #0: cost 1 inf + 0 87.250 * * [simplify]: Extracting #1: cost 21 inf + 0 87.250 * * [simplify]: Extracting #2: cost 41 inf + 1 87.251 * * [simplify]: Extracting #3: cost 48 inf + 82 87.251 * * [simplify]: Extracting #4: cost 49 inf + 285 87.251 * * [simplify]: Extracting #5: cost 45 inf + 569 87.252 * * [simplify]: Extracting #6: cost 22 inf + 5004 87.255 * * [simplify]: Extracting #7: cost 2 inf + 12561 87.259 * * [simplify]: Extracting #8: cost 0 inf + 13645 87.263 * [simplify]: Simplified to (/ (* (cbrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (fabs (cbrt (sqrt 2))))) 87.263 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (* (cbrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.264 * * * * [progress]: [ 229 / 614 ] simplifiying candidate # 87.264 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 87.264 * * [simplify]: iters left: 6 (18 enodes) 87.270 * * [simplify]: iters left: 5 (61 enodes) 87.279 * * [simplify]: iters left: 4 (85 enodes) 87.292 * * [simplify]: iters left: 3 (106 enodes) 87.322 * * [simplify]: iters left: 2 (125 enodes) 87.340 * * [simplify]: iters left: 1 (144 enodes) 87.364 * * [simplify]: Extracting #0: cost 1 inf + 0 87.364 * * [simplify]: Extracting #1: cost 21 inf + 0 87.365 * * [simplify]: Extracting #2: cost 45 inf + 0 87.365 * * [simplify]: Extracting #3: cost 49 inf + 165 87.365 * * [simplify]: Extracting #4: cost 51 inf + 349 87.366 * * [simplify]: Extracting #5: cost 29 inf + 4040 87.369 * * [simplify]: Extracting #6: cost 5 inf + 12066 87.373 * * [simplify]: Extracting #7: cost 0 inf + 14278 87.377 * [simplify]: Simplified to (* (/ (cos th) (* (cbrt (fabs (cbrt 2))) (fabs (cbrt (sqrt 2))))) (sqrt a1)) 87.377 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (fabs (cbrt 2))) (fabs (cbrt (sqrt 2))))) (sqrt a1)) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.378 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 87.378 * * [simplify]: iters left: 6 (15 enodes) 87.386 * * [simplify]: iters left: 5 (51 enodes) 87.403 * * [simplify]: iters left: 4 (75 enodes) 87.427 * * [simplify]: iters left: 3 (96 enodes) 87.456 * * [simplify]: iters left: 2 (115 enodes) 87.485 * * [simplify]: iters left: 1 (134 enodes) 87.503 * * [simplify]: Extracting #0: cost 1 inf + 0 87.503 * * [simplify]: Extracting #1: cost 21 inf + 0 87.503 * * [simplify]: Extracting #2: cost 41 inf + 1 87.503 * * [simplify]: Extracting #3: cost 48 inf + 42 87.504 * * [simplify]: Extracting #4: cost 49 inf + 165 87.504 * * [simplify]: Extracting #5: cost 45 inf + 409 87.504 * * [simplify]: Extracting #6: cost 22 inf + 4644 87.506 * * [simplify]: Extracting #7: cost 2 inf + 11761 87.508 * * [simplify]: Extracting #8: cost 0 inf + 12765 87.510 * [simplify]: Simplified to (/ (* (sqrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (fabs (cbrt (sqrt 2))))) 87.510 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt (cbrt 2))) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.510 * * * * [progress]: [ 230 / 614 ] simplifiying candidate # 87.510 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 87.510 * * [simplify]: iters left: 6 (16 enodes) 87.515 * * [simplify]: iters left: 5 (53 enodes) 87.523 * * [simplify]: iters left: 4 (71 enodes) 87.534 * * [simplify]: iters left: 3 (81 enodes) 87.547 * * [simplify]: iters left: 2 (93 enodes) 87.563 * * [simplify]: iters left: 1 (119 enodes) 87.604 * * [simplify]: Extracting #0: cost 1 inf + 0 87.604 * * [simplify]: Extracting #1: cost 13 inf + 0 87.604 * * [simplify]: Extracting #2: cost 27 inf + 1 87.604 * * [simplify]: Extracting #3: cost 31 inf + 124 87.605 * * [simplify]: Extracting #4: cost 36 inf + 124 87.605 * * [simplify]: Extracting #5: cost 24 inf + 1397 87.607 * * [simplify]: Extracting #6: cost 5 inf + 6049 87.610 * * [simplify]: Extracting #7: cost 1 inf + 7756 87.612 * * [simplify]: Extracting #8: cost 0 inf + 8157 87.615 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 87.615 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.616 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 87.616 * * [simplify]: iters left: 6 (14 enodes) 87.624 * * [simplify]: iters left: 5 (48 enodes) 87.639 * * [simplify]: iters left: 4 (72 enodes) 87.659 * * [simplify]: iters left: 3 (90 enodes) 87.685 * * [simplify]: iters left: 2 (100 enodes) 87.712 * * [simplify]: iters left: 1 (107 enodes) 87.741 * * [simplify]: Extracting #0: cost 1 inf + 0 87.741 * * [simplify]: Extracting #1: cost 15 inf + 0 87.741 * * [simplify]: Extracting #2: cost 29 inf + 1 87.741 * * [simplify]: Extracting #3: cost 34 inf + 83 87.742 * * [simplify]: Extracting #4: cost 37 inf + 84 87.742 * * [simplify]: Extracting #5: cost 36 inf + 85 87.743 * * [simplify]: Extracting #6: cost 25 inf + 1620 87.744 * * [simplify]: Extracting #7: cost 10 inf + 4883 87.747 * * [simplify]: Extracting #8: cost 0 inf + 8541 87.749 * [simplify]: Simplified to (/ a1 (* (/ (fabs (cbrt (sqrt 2))) a1) (cbrt (sqrt (cbrt 2))))) 87.749 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ a1 (* (/ (fabs (cbrt (sqrt 2))) a1) (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.749 * * * * [progress]: [ 231 / 614 ] simplifiying candidate # 87.750 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 87.750 * * [simplify]: iters left: 6 (17 enodes) 87.760 * * [simplify]: iters left: 5 (59 enodes) 87.780 * * [simplify]: iters left: 4 (91 enodes) 87.808 * * [simplify]: iters left: 3 (135 enodes) 87.855 * * [simplify]: iters left: 2 (208 enodes) 87.916 * * [simplify]: iters left: 1 (273 enodes) 87.976 * * [simplify]: Extracting #0: cost 1 inf + 0 87.976 * * [simplify]: Extracting #1: cost 41 inf + 0 87.976 * * [simplify]: Extracting #2: cost 79 inf + 0 87.976 * * [simplify]: Extracting #3: cost 79 inf + 589 87.977 * * [simplify]: Extracting #4: cost 77 inf + 1337 87.977 * * [simplify]: Extracting #5: cost 67 inf + 2791 87.981 * * [simplify]: Extracting #6: cost 24 inf + 17563 87.985 * * [simplify]: Extracting #7: cost 0 inf + 27261 87.990 * [simplify]: Simplified to (/ (cbrt a1) (/ (/ (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cos th))) 87.990 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cos th))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 87.990 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 87.990 * * [simplify]: iters left: 6 (14 enodes) 87.994 * * [simplify]: iters left: 5 (48 enodes) 88.003 * * [simplify]: iters left: 4 (72 enodes) 88.028 * * [simplify]: iters left: 3 (93 enodes) 88.052 * * [simplify]: iters left: 2 (112 enodes) 88.073 * * [simplify]: iters left: 1 (131 enodes) 88.091 * * [simplify]: Extracting #0: cost 1 inf + 0 88.091 * * [simplify]: Extracting #1: cost 21 inf + 0 88.091 * * [simplify]: Extracting #2: cost 40 inf + 82 88.092 * * [simplify]: Extracting #3: cost 45 inf + 284 88.092 * * [simplify]: Extracting #4: cost 46 inf + 406 88.092 * * [simplify]: Extracting #5: cost 45 inf + 407 88.092 * * [simplify]: Extracting #6: cost 32 inf + 2545 88.093 * * [simplify]: Extracting #7: cost 6 inf + 9833 88.095 * * [simplify]: Extracting #8: cost 0 inf + 11963 88.097 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) (fabs (cbrt (sqrt 2))))) 88.097 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.097 * * * * [progress]: [ 232 / 614 ] simplifiying candidate # 88.097 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 88.097 * * [simplify]: iters left: 6 (16 enodes) 88.101 * * [simplify]: iters left: 5 (54 enodes) 88.110 * * [simplify]: iters left: 4 (78 enodes) 88.123 * * [simplify]: iters left: 3 (99 enodes) 88.136 * * [simplify]: iters left: 2 (118 enodes) 88.151 * * [simplify]: iters left: 1 (137 enodes) 88.175 * * [simplify]: Extracting #0: cost 1 inf + 0 88.176 * * [simplify]: Extracting #1: cost 21 inf + 0 88.176 * * [simplify]: Extracting #2: cost 45 inf + 0 88.176 * * [simplify]: Extracting #3: cost 48 inf + 104 88.176 * * [simplify]: Extracting #4: cost 46 inf + 491 88.177 * * [simplify]: Extracting #5: cost 39 inf + 1399 88.179 * * [simplify]: Extracting #6: cost 10 inf + 8994 88.182 * * [simplify]: Extracting #7: cost 0 inf + 12354 88.186 * [simplify]: Simplified to (/ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) 88.186 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.187 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 88.187 * * [simplify]: iters left: 6 (14 enodes) 88.194 * * [simplify]: iters left: 5 (48 enodes) 88.207 * * [simplify]: iters left: 4 (72 enodes) 88.228 * * [simplify]: iters left: 3 (93 enodes) 88.250 * * [simplify]: iters left: 2 (112 enodes) 88.275 * * [simplify]: iters left: 1 (131 enodes) 88.307 * * [simplify]: Extracting #0: cost 1 inf + 0 88.307 * * [simplify]: Extracting #1: cost 21 inf + 0 88.307 * * [simplify]: Extracting #2: cost 40 inf + 42 88.307 * * [simplify]: Extracting #3: cost 45 inf + 164 88.308 * * [simplify]: Extracting #4: cost 46 inf + 246 88.308 * * [simplify]: Extracting #5: cost 45 inf + 247 88.309 * * [simplify]: Extracting #6: cost 32 inf + 2265 88.310 * * [simplify]: Extracting #7: cost 6 inf + 9113 88.313 * * [simplify]: Extracting #8: cost 0 inf + 11083 88.316 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (fabs (cbrt (sqrt 2))))) 88.316 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.316 * * * * [progress]: [ 233 / 614 ] simplifiying candidate # 88.317 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 88.317 * * [simplify]: iters left: 6 (14 enodes) 88.323 * * [simplify]: iters left: 5 (46 enodes) 88.337 * * [simplify]: iters left: 4 (64 enodes) 88.356 * * [simplify]: iters left: 3 (74 enodes) 88.369 * * [simplify]: iters left: 2 (86 enodes) 88.386 * * [simplify]: iters left: 1 (112 enodes) 88.404 * * [simplify]: Extracting #0: cost 1 inf + 0 88.404 * * [simplify]: Extracting #1: cost 13 inf + 0 88.404 * * [simplify]: Extracting #2: cost 27 inf + 1 88.405 * * [simplify]: Extracting #3: cost 30 inf + 63 88.405 * * [simplify]: Extracting #4: cost 32 inf + 124 88.405 * * [simplify]: Extracting #5: cost 22 inf + 1337 88.406 * * [simplify]: Extracting #6: cost 11 inf + 3572 88.408 * * [simplify]: Extracting #7: cost 0 inf + 6873 88.410 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 88.410 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.411 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 88.411 * * [simplify]: iters left: 6 (13 enodes) 88.418 * * [simplify]: iters left: 5 (45 enodes) 88.433 * * [simplify]: iters left: 4 (69 enodes) 88.454 * * [simplify]: iters left: 3 (87 enodes) 88.465 * * [simplify]: iters left: 2 (97 enodes) 88.478 * * [simplify]: iters left: 1 (104 enodes) 88.494 * * [simplify]: Extracting #0: cost 1 inf + 0 88.494 * * [simplify]: Extracting #1: cost 15 inf + 0 88.494 * * [simplify]: Extracting #2: cost 29 inf + 1 88.494 * * [simplify]: Extracting #3: cost 33 inf + 83 88.495 * * [simplify]: Extracting #4: cost 35 inf + 84 88.495 * * [simplify]: Extracting #5: cost 34 inf + 85 88.495 * * [simplify]: Extracting #6: cost 30 inf + 369 88.495 * * [simplify]: Extracting #7: cost 10 inf + 4521 88.496 * * [simplify]: Extracting #8: cost 0 inf + 7339 88.498 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) a1)) 88.498 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.498 * * * * [progress]: [ 234 / 614 ] simplifiying candidate # 88.498 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 88.498 * * [simplify]: iters left: 6 (17 enodes) 88.506 * * [simplify]: iters left: 5 (59 enodes) 88.516 * * [simplify]: iters left: 4 (93 enodes) 88.539 * * [simplify]: iters left: 3 (142 enodes) 88.593 * * [simplify]: iters left: 2 (221 enodes) 88.688 * * [simplify]: iters left: 1 (309 enodes) 88.752 * * [simplify]: Extracting #0: cost 1 inf + 0 88.752 * * [simplify]: Extracting #1: cost 24 inf + 0 88.752 * * [simplify]: Extracting #2: cost 60 inf + 1 88.753 * * [simplify]: Extracting #3: cost 57 inf + 409 88.753 * * [simplify]: Extracting #4: cost 43 inf + 3059 88.754 * * [simplify]: Extracting #5: cost 23 inf + 6675 88.756 * * [simplify]: Extracting #6: cost 1 inf + 13767 88.760 * * [simplify]: Extracting #7: cost 0 inf + 14089 88.763 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 88.763 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (fabs (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.763 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 88.763 * * [simplify]: iters left: 6 (12 enodes) 88.767 * * [simplify]: iters left: 5 (42 enodes) 88.774 * * [simplify]: iters left: 4 (66 enodes) 88.794 * * [simplify]: iters left: 3 (87 enodes) 88.818 * * [simplify]: iters left: 2 (113 enodes) 88.850 * * [simplify]: iters left: 1 (155 enodes) 88.913 * * [simplify]: Extracting #0: cost 1 inf + 0 88.913 * * [simplify]: Extracting #1: cost 25 inf + 0 88.913 * * [simplify]: Extracting #2: cost 49 inf + 83 88.913 * * [simplify]: Extracting #3: cost 49 inf + 448 88.914 * * [simplify]: Extracting #4: cost 48 inf + 449 88.915 * * [simplify]: Extracting #5: cost 26 inf + 4647 88.919 * * [simplify]: Extracting #6: cost 2 inf + 10895 88.923 * * [simplify]: Extracting #7: cost 0 inf + 11539 88.927 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 88.927 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (fabs (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 88.927 * * * * [progress]: [ 235 / 614 ] simplifiying candidate # 88.928 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) (sqrt a1))) 88.928 * * [simplify]: iters left: 6 (16 enodes) 88.940 * * [simplify]: iters left: 5 (54 enodes) 88.956 * * [simplify]: iters left: 4 (77 enodes) 88.978 * * [simplify]: iters left: 3 (89 enodes) 89.001 * * [simplify]: iters left: 2 (109 enodes) 89.031 * * [simplify]: iters left: 1 (125 enodes) 89.064 * * [simplify]: Extracting #0: cost 1 inf + 0 89.064 * * [simplify]: Extracting #1: cost 13 inf + 0 89.065 * * [simplify]: Extracting #2: cost 26 inf + 1 89.065 * * [simplify]: Extracting #3: cost 26 inf + 105 89.065 * * [simplify]: Extracting #4: cost 22 inf + 717 89.066 * * [simplify]: Extracting #5: cost 14 inf + 1767 89.068 * * [simplify]: Extracting #6: cost 1 inf + 4692 89.069 * * [simplify]: Extracting #7: cost 0 inf + 4854 89.072 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (fabs (cbrt (sqrt 2)))) 89.072 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.072 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 89.072 * * [simplify]: iters left: 6 (12 enodes) 89.079 * * [simplify]: iters left: 5 (42 enodes) 89.094 * * [simplify]: iters left: 4 (66 enodes) 89.110 * * [simplify]: iters left: 3 (87 enodes) 89.122 * * [simplify]: iters left: 2 (113 enodes) 89.138 * * [simplify]: iters left: 1 (155 enodes) 89.180 * * [simplify]: Extracting #0: cost 1 inf + 0 89.180 * * [simplify]: Extracting #1: cost 25 inf + 0 89.180 * * [simplify]: Extracting #2: cost 49 inf + 43 89.180 * * [simplify]: Extracting #3: cost 49 inf + 288 89.181 * * [simplify]: Extracting #4: cost 48 inf + 289 89.181 * * [simplify]: Extracting #5: cost 26 inf + 4327 89.183 * * [simplify]: Extracting #6: cost 2 inf + 9975 89.185 * * [simplify]: Extracting #7: cost 0 inf + 10539 89.187 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 89.187 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.188 * * * * [progress]: [ 236 / 614 ] simplifiying candidate # 89.188 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 1)) 1)) 89.188 * * [simplify]: iters left: 6 (14 enodes) 89.194 * * [simplify]: iters left: 5 (46 enodes) 89.209 * * [simplify]: iters left: 4 (59 enodes) 89.224 * * [simplify]: iters left: 3 (62 enodes) 89.240 * * [simplify]: iters left: 2 (68 enodes) 89.259 * * [simplify]: iters left: 1 (85 enodes) 89.290 * * [simplify]: Extracting #0: cost 1 inf + 0 89.290 * * [simplify]: Extracting #1: cost 8 inf + 0 89.291 * * [simplify]: Extracting #2: cost 15 inf + 1 89.291 * * [simplify]: Extracting #3: cost 18 inf + 2 89.291 * * [simplify]: Extracting #4: cost 19 inf + 165 89.291 * * [simplify]: Extracting #5: cost 15 inf + 370 89.292 * * [simplify]: Extracting #6: cost 4 inf + 2286 89.293 * * [simplify]: Extracting #7: cost 0 inf + 3073 89.295 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 89.295 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.295 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 89.296 * * [simplify]: iters left: 6 (11 enodes) 89.301 * * [simplify]: iters left: 5 (39 enodes) 89.310 * * [simplify]: iters left: 4 (63 enodes) 89.319 * * [simplify]: iters left: 3 (81 enodes) 89.331 * * [simplify]: iters left: 2 (98 enodes) 89.353 * * [simplify]: iters left: 1 (120 enodes) 89.373 * * [simplify]: Extracting #0: cost 1 inf + 0 89.373 * * [simplify]: Extracting #1: cost 23 inf + 0 89.374 * * [simplify]: Extracting #2: cost 38 inf + 43 89.374 * * [simplify]: Extracting #3: cost 39 inf + 166 89.374 * * [simplify]: Extracting #4: cost 38 inf + 167 89.375 * * [simplify]: Extracting #5: cost 27 inf + 1783 89.377 * * [simplify]: Extracting #6: cost 2 inf + 7113 89.380 * * [simplify]: Extracting #7: cost 0 inf + 7597 89.383 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2))))) 89.383 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.383 * * * * [progress]: [ 237 / 614 ] simplifiying candidate # 89.383 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 89.383 * * [simplify]: iters left: 6 (17 enodes) 89.392 * * [simplify]: iters left: 5 (59 enodes) 89.411 * * [simplify]: iters left: 4 (91 enodes) 89.440 * * [simplify]: iters left: 3 (135 enodes) 89.481 * * [simplify]: iters left: 2 (208 enodes) 89.520 * * [simplify]: iters left: 1 (273 enodes) 89.599 * * [simplify]: Extracting #0: cost 1 inf + 0 89.599 * * [simplify]: Extracting #1: cost 41 inf + 0 89.600 * * [simplify]: Extracting #2: cost 79 inf + 0 89.600 * * [simplify]: Extracting #3: cost 79 inf + 589 89.600 * * [simplify]: Extracting #4: cost 77 inf + 1337 89.601 * * [simplify]: Extracting #5: cost 67 inf + 2791 89.604 * * [simplify]: Extracting #6: cost 24 inf + 17563 89.612 * * [simplify]: Extracting #7: cost 0 inf + 27261 89.621 * [simplify]: Simplified to (/ (cbrt a1) (/ (/ (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cos th))) 89.621 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cos th))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.622 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 89.622 * * [simplify]: iters left: 6 (14 enodes) 89.629 * * [simplify]: iters left: 5 (48 enodes) 89.645 * * [simplify]: iters left: 4 (72 enodes) 89.662 * * [simplify]: iters left: 3 (93 enodes) 89.676 * * [simplify]: iters left: 2 (112 enodes) 89.693 * * [simplify]: iters left: 1 (131 enodes) 89.714 * * [simplify]: Extracting #0: cost 1 inf + 0 89.714 * * [simplify]: Extracting #1: cost 21 inf + 0 89.714 * * [simplify]: Extracting #2: cost 40 inf + 82 89.714 * * [simplify]: Extracting #3: cost 45 inf + 284 89.715 * * [simplify]: Extracting #4: cost 46 inf + 406 89.715 * * [simplify]: Extracting #5: cost 45 inf + 407 89.715 * * [simplify]: Extracting #6: cost 32 inf + 2545 89.716 * * [simplify]: Extracting #7: cost 6 inf + 9833 89.718 * * [simplify]: Extracting #8: cost 0 inf + 11963 89.722 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) (fabs (cbrt (sqrt 2))))) 89.722 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.722 * * * * [progress]: [ 238 / 614 ] simplifiying candidate # 89.722 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 89.723 * * [simplify]: iters left: 6 (16 enodes) 89.730 * * [simplify]: iters left: 5 (54 enodes) 89.748 * * [simplify]: iters left: 4 (78 enodes) 89.770 * * [simplify]: iters left: 3 (99 enodes) 89.784 * * [simplify]: iters left: 2 (118 enodes) 89.799 * * [simplify]: iters left: 1 (137 enodes) 89.818 * * [simplify]: Extracting #0: cost 1 inf + 0 89.818 * * [simplify]: Extracting #1: cost 21 inf + 0 89.818 * * [simplify]: Extracting #2: cost 45 inf + 0 89.818 * * [simplify]: Extracting #3: cost 48 inf + 104 89.819 * * [simplify]: Extracting #4: cost 46 inf + 491 89.819 * * [simplify]: Extracting #5: cost 39 inf + 1399 89.820 * * [simplify]: Extracting #6: cost 10 inf + 8994 89.822 * * [simplify]: Extracting #7: cost 0 inf + 12354 89.823 * [simplify]: Simplified to (/ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) 89.824 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.824 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 89.824 * * [simplify]: iters left: 6 (14 enodes) 89.827 * * [simplify]: iters left: 5 (48 enodes) 89.836 * * [simplify]: iters left: 4 (72 enodes) 89.847 * * [simplify]: iters left: 3 (93 enodes) 89.861 * * [simplify]: iters left: 2 (112 enodes) 89.876 * * [simplify]: iters left: 1 (131 enodes) 89.904 * * [simplify]: Extracting #0: cost 1 inf + 0 89.904 * * [simplify]: Extracting #1: cost 21 inf + 0 89.904 * * [simplify]: Extracting #2: cost 40 inf + 42 89.904 * * [simplify]: Extracting #3: cost 45 inf + 164 89.905 * * [simplify]: Extracting #4: cost 46 inf + 246 89.905 * * [simplify]: Extracting #5: cost 45 inf + 247 89.906 * * [simplify]: Extracting #6: cost 32 inf + 2265 89.909 * * [simplify]: Extracting #7: cost 6 inf + 9113 89.912 * * [simplify]: Extracting #8: cost 0 inf + 11083 89.914 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (fabs (cbrt (sqrt 2))))) 89.914 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ a1 (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 89.914 * * * * [progress]: [ 239 / 614 ] simplifiying candidate # 89.915 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 89.915 * * [simplify]: iters left: 6 (14 enodes) 89.919 * * [simplify]: iters left: 5 (46 enodes) 89.927 * * [simplify]: iters left: 4 (64 enodes) 89.937 * * [simplify]: iters left: 3 (74 enodes) 89.948 * * [simplify]: iters left: 2 (86 enodes) 89.968 * * [simplify]: iters left: 1 (112 enodes) 90.007 * * [simplify]: Extracting #0: cost 1 inf + 0 90.007 * * [simplify]: Extracting #1: cost 13 inf + 0 90.007 * * [simplify]: Extracting #2: cost 27 inf + 1 90.007 * * [simplify]: Extracting #3: cost 30 inf + 63 90.007 * * [simplify]: Extracting #4: cost 32 inf + 124 90.008 * * [simplify]: Extracting #5: cost 22 inf + 1337 90.009 * * [simplify]: Extracting #6: cost 11 inf + 3572 90.011 * * [simplify]: Extracting #7: cost 0 inf + 6873 90.013 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 90.013 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.014 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 90.014 * * [simplify]: iters left: 6 (13 enodes) 90.021 * * [simplify]: iters left: 5 (45 enodes) 90.036 * * [simplify]: iters left: 4 (69 enodes) 90.056 * * [simplify]: iters left: 3 (87 enodes) 90.074 * * [simplify]: iters left: 2 (97 enodes) 90.088 * * [simplify]: iters left: 1 (104 enodes) 90.108 * * [simplify]: Extracting #0: cost 1 inf + 0 90.109 * * [simplify]: Extracting #1: cost 15 inf + 0 90.109 * * [simplify]: Extracting #2: cost 29 inf + 1 90.109 * * [simplify]: Extracting #3: cost 33 inf + 83 90.109 * * [simplify]: Extracting #4: cost 35 inf + 84 90.110 * * [simplify]: Extracting #5: cost 34 inf + 85 90.110 * * [simplify]: Extracting #6: cost 30 inf + 369 90.111 * * [simplify]: Extracting #7: cost 10 inf + 4521 90.113 * * [simplify]: Extracting #8: cost 0 inf + 7339 90.116 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) a1)) 90.116 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.116 * * * * [progress]: [ 240 / 614 ] simplifiying candidate # 90.116 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 90.117 * * [simplify]: iters left: 6 (16 enodes) 90.127 * * [simplify]: iters left: 5 (56 enodes) 90.137 * * [simplify]: iters left: 4 (90 enodes) 90.151 * * [simplify]: iters left: 3 (139 enodes) 90.197 * * [simplify]: iters left: 2 (218 enodes) 90.266 * * [simplify]: iters left: 1 (305 enodes) 90.369 * * [simplify]: Extracting #0: cost 1 inf + 0 90.370 * * [simplify]: Extracting #1: cost 24 inf + 0 90.370 * * [simplify]: Extracting #2: cost 60 inf + 1 90.371 * * [simplify]: Extracting #3: cost 57 inf + 529 90.372 * * [simplify]: Extracting #4: cost 42 inf + 3321 90.373 * * [simplify]: Extracting #5: cost 24 inf + 6313 90.377 * * [simplify]: Extracting #6: cost 3 inf + 13022 90.383 * * [simplify]: Extracting #7: cost 0 inf + 14089 90.388 * [simplify]: Simplified to (/ (cbrt a1) (/ (fabs (cbrt (sqrt 2))) (* (cos th) (cbrt a1)))) 90.388 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (fabs (cbrt (sqrt 2))) (* (cos th) (cbrt a1)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.388 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 90.388 * * [simplify]: iters left: 6 (12 enodes) 90.395 * * [simplify]: iters left: 5 (42 enodes) 90.409 * * [simplify]: iters left: 4 (66 enodes) 90.429 * * [simplify]: iters left: 3 (87 enodes) 90.454 * * [simplify]: iters left: 2 (113 enodes) 90.473 * * [simplify]: iters left: 1 (155 enodes) 90.501 * * [simplify]: Extracting #0: cost 1 inf + 0 90.501 * * [simplify]: Extracting #1: cost 25 inf + 0 90.501 * * [simplify]: Extracting #2: cost 49 inf + 83 90.501 * * [simplify]: Extracting #3: cost 49 inf + 448 90.501 * * [simplify]: Extracting #4: cost 48 inf + 449 90.502 * * [simplify]: Extracting #5: cost 26 inf + 4647 90.504 * * [simplify]: Extracting #6: cost 2 inf + 10895 90.506 * * [simplify]: Extracting #7: cost 0 inf + 11539 90.508 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 90.508 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (fabs (cbrt (sqrt 2))) (* (cos th) (cbrt a1)))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.508 * * * * [progress]: [ 241 / 614 ] simplifiying candidate # 90.508 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) (sqrt a1))) 90.508 * * [simplify]: iters left: 6 (15 enodes) 90.513 * * [simplify]: iters left: 5 (51 enodes) 90.522 * * [simplify]: iters left: 4 (74 enodes) 90.547 * * [simplify]: iters left: 3 (86 enodes) 90.570 * * [simplify]: iters left: 2 (106 enodes) 90.598 * * [simplify]: iters left: 1 (123 enodes) 90.619 * * [simplify]: Extracting #0: cost 1 inf + 0 90.620 * * [simplify]: Extracting #1: cost 13 inf + 0 90.620 * * [simplify]: Extracting #2: cost 26 inf + 1 90.620 * * [simplify]: Extracting #3: cost 23 inf + 330 90.620 * * [simplify]: Extracting #4: cost 22 inf + 717 90.620 * * [simplify]: Extracting #5: cost 10 inf + 2514 90.621 * * [simplify]: Extracting #6: cost 1 inf + 4612 90.622 * * [simplify]: Extracting #7: cost 0 inf + 4854 90.623 * [simplify]: Simplified to (* (cos th) (/ (sqrt a1) (fabs (cbrt (sqrt 2))))) 90.623 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (/ (sqrt a1) (fabs (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.623 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 90.624 * * [simplify]: iters left: 6 (12 enodes) 90.627 * * [simplify]: iters left: 5 (42 enodes) 90.635 * * [simplify]: iters left: 4 (66 enodes) 90.646 * * [simplify]: iters left: 3 (87 enodes) 90.660 * * [simplify]: iters left: 2 (113 enodes) 90.676 * * [simplify]: iters left: 1 (155 enodes) 90.704 * * [simplify]: Extracting #0: cost 1 inf + 0 90.704 * * [simplify]: Extracting #1: cost 25 inf + 0 90.704 * * [simplify]: Extracting #2: cost 49 inf + 43 90.705 * * [simplify]: Extracting #3: cost 49 inf + 288 90.705 * * [simplify]: Extracting #4: cost 48 inf + 289 90.706 * * [simplify]: Extracting #5: cost 26 inf + 4327 90.707 * * [simplify]: Extracting #6: cost 2 inf + 9975 90.709 * * [simplify]: Extracting #7: cost 0 inf + 10539 90.711 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 90.712 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (/ (sqrt a1) (fabs (cbrt (sqrt 2))))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.712 * * * * [progress]: [ 242 / 614 ] simplifiying candidate # 90.712 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt 1) 1)) 90.712 * * [simplify]: iters left: 6 (13 enodes) 90.717 * * [simplify]: iters left: 5 (43 enodes) 90.726 * * [simplify]: iters left: 4 (56 enodes) 90.734 * * [simplify]: iters left: 3 (59 enodes) 90.742 * * [simplify]: iters left: 2 (65 enodes) 90.750 * * [simplify]: iters left: 1 (82 enodes) 90.764 * * [simplify]: Extracting #0: cost 1 inf + 0 90.764 * * [simplify]: Extracting #1: cost 8 inf + 0 90.764 * * [simplify]: Extracting #2: cost 15 inf + 1 90.764 * * [simplify]: Extracting #3: cost 18 inf + 2 90.764 * * [simplify]: Extracting #4: cost 20 inf + 63 90.765 * * [simplify]: Extracting #5: cost 15 inf + 370 90.765 * * [simplify]: Extracting #6: cost 7 inf + 1742 90.766 * * [simplify]: Extracting #7: cost 0 inf + 3073 90.766 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 90.766 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.767 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 90.767 * * [simplify]: iters left: 6 (11 enodes) 90.770 * * [simplify]: iters left: 5 (39 enodes) 90.776 * * [simplify]: iters left: 4 (63 enodes) 90.785 * * [simplify]: iters left: 3 (81 enodes) 90.802 * * [simplify]: iters left: 2 (98 enodes) 90.833 * * [simplify]: iters left: 1 (120 enodes) 90.869 * * [simplify]: Extracting #0: cost 1 inf + 0 90.869 * * [simplify]: Extracting #1: cost 23 inf + 0 90.869 * * [simplify]: Extracting #2: cost 38 inf + 43 90.870 * * [simplify]: Extracting #3: cost 39 inf + 166 90.870 * * [simplify]: Extracting #4: cost 38 inf + 167 90.871 * * [simplify]: Extracting #5: cost 27 inf + 1783 90.873 * * [simplify]: Extracting #6: cost 2 inf + 7113 90.875 * * [simplify]: Extracting #7: cost 0 inf + 7597 90.878 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2))))) 90.878 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 90.879 * * * * [progress]: [ 243 / 614 ] simplifiying candidate # 90.879 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 90.879 * * [simplify]: iters left: 6 (17 enodes) 90.887 * * [simplify]: iters left: 5 (63 enodes) 90.903 * * [simplify]: iters left: 4 (117 enodes) 90.926 * * [simplify]: iters left: 3 (225 enodes) 90.976 * * [simplify]: iters left: 2 (418 enodes) 91.095 * * [simplify]: Extracting #0: cost 1 inf + 0 91.095 * * [simplify]: Extracting #1: cost 56 inf + 0 91.096 * * [simplify]: Extracting #2: cost 123 inf + 0 91.096 * * [simplify]: Extracting #3: cost 123 inf + 386 91.097 * * [simplify]: Extracting #4: cost 120 inf + 1115 91.097 * * [simplify]: Extracting #5: cost 111 inf + 2568 91.102 * * [simplify]: Extracting #6: cost 34 inf + 31213 91.110 * * [simplify]: Extracting #7: cost 1 inf + 45193 91.123 * * [simplify]: Extracting #8: cost 0 inf + 45616 91.140 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt (sqrt 2))) (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))))) 91.140 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (fabs (cbrt (sqrt 2))) (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.140 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 91.141 * * [simplify]: iters left: 6 (13 enodes) 91.148 * * [simplify]: iters left: 5 (45 enodes) 91.167 * * [simplify]: iters left: 4 (69 enodes) 91.188 * * [simplify]: iters left: 3 (90 enodes) 91.212 * * [simplify]: iters left: 2 (109 enodes) 91.240 * * [simplify]: iters left: 1 (128 enodes) 91.275 * * [simplify]: Extracting #0: cost 1 inf + 0 91.275 * * [simplify]: Extracting #1: cost 21 inf + 0 91.275 * * [simplify]: Extracting #2: cost 40 inf + 1 91.276 * * [simplify]: Extracting #3: cost 43 inf + 284 91.276 * * [simplify]: Extracting #4: cost 44 inf + 406 91.276 * * [simplify]: Extracting #5: cost 43 inf + 407 91.277 * * [simplify]: Extracting #6: cost 32 inf + 2062 91.279 * * [simplify]: Extracting #7: cost 9 inf + 8743 91.282 * * [simplify]: Extracting #8: cost 0 inf + 11801 91.285 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) 91.285 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.285 * * * * [progress]: [ 244 / 614 ] simplifiying candidate # 91.286 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 91.286 * * [simplify]: iters left: 6 (16 enodes) 91.290 * * [simplify]: iters left: 5 (56 enodes) 91.302 * * [simplify]: iters left: 4 (89 enodes) 91.318 * * [simplify]: iters left: 3 (143 enodes) 91.356 * * [simplify]: iters left: 2 (222 enodes) 91.394 * * [simplify]: iters left: 1 (278 enodes) 91.485 * * [simplify]: Extracting #0: cost 1 inf + 0 91.486 * * [simplify]: Extracting #1: cost 33 inf + 0 91.486 * * [simplify]: Extracting #2: cost 69 inf + 0 91.487 * * [simplify]: Extracting #3: cost 70 inf + 145 91.487 * * [simplify]: Extracting #4: cost 70 inf + 349 91.488 * * [simplify]: Extracting #5: cost 59 inf + 1844 91.493 * * [simplify]: Extracting #6: cost 17 inf + 15127 91.503 * * [simplify]: Extracting #7: cost 0 inf + 21462 91.511 * [simplify]: Simplified to (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 91.511 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.512 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 91.512 * * [simplify]: iters left: 6 (13 enodes) 91.519 * * [simplify]: iters left: 5 (45 enodes) 91.530 * * [simplify]: iters left: 4 (69 enodes) 91.541 * * [simplify]: iters left: 3 (90 enodes) 91.552 * * [simplify]: iters left: 2 (109 enodes) 91.566 * * [simplify]: iters left: 1 (128 enodes) 91.584 * * [simplify]: Extracting #0: cost 1 inf + 0 91.584 * * [simplify]: Extracting #1: cost 21 inf + 0 91.584 * * [simplify]: Extracting #2: cost 40 inf + 1 91.584 * * [simplify]: Extracting #3: cost 43 inf + 164 91.584 * * [simplify]: Extracting #4: cost 44 inf + 246 91.584 * * [simplify]: Extracting #5: cost 43 inf + 247 91.585 * * [simplify]: Extracting #6: cost 32 inf + 1902 91.585 * * [simplify]: Extracting #7: cost 9 inf + 8103 91.587 * * [simplify]: Extracting #8: cost 0 inf + 10921 91.590 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) 91.590 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.590 * * * * [progress]: [ 245 / 614 ] simplifiying candidate # 91.590 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 91.590 * * [simplify]: iters left: 6 (14 enodes) 91.594 * * [simplify]: iters left: 5 (48 enodes) 91.602 * * [simplify]: iters left: 4 (80 enodes) 91.623 * * [simplify]: iters left: 3 (119 enodes) 91.663 * * [simplify]: iters left: 2 (165 enodes) 91.713 * * [simplify]: iters left: 1 (232 enodes) 91.798 * * [simplify]: Extracting #0: cost 1 inf + 0 91.799 * * [simplify]: Extracting #1: cost 24 inf + 0 91.799 * * [simplify]: Extracting #2: cost 45 inf + 1 91.800 * * [simplify]: Extracting #3: cost 47 inf + 63 91.800 * * [simplify]: Extracting #4: cost 49 inf + 124 91.801 * * [simplify]: Extracting #5: cost 42 inf + 912 91.802 * * [simplify]: Extracting #6: cost 21 inf + 6406 91.807 * * [simplify]: Extracting #7: cost 1 inf + 13063 91.813 * * [simplify]: Extracting #8: cost 0 inf + 13345 91.819 * [simplify]: Simplified to (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 91.819 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.820 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 91.820 * * [simplify]: iters left: 6 (12 enodes) 91.826 * * [simplify]: iters left: 5 (42 enodes) 91.841 * * [simplify]: iters left: 4 (66 enodes) 91.858 * * [simplify]: iters left: 3 (84 enodes) 91.869 * * [simplify]: iters left: 2 (94 enodes) 91.881 * * [simplify]: iters left: 1 (101 enodes) 91.900 * * [simplify]: Extracting #0: cost 1 inf + 0 91.900 * * [simplify]: Extracting #1: cost 15 inf + 0 91.900 * * [simplify]: Extracting #2: cost 28 inf + 1 91.900 * * [simplify]: Extracting #3: cost 31 inf + 83 91.900 * * [simplify]: Extracting #4: cost 33 inf + 84 91.900 * * [simplify]: Extracting #5: cost 32 inf + 85 91.901 * * [simplify]: Extracting #6: cost 20 inf + 2262 91.901 * * [simplify]: Extracting #7: cost 2 inf + 6693 91.903 * * [simplify]: Extracting #8: cost 0 inf + 7177 91.904 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 91.904 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 91.904 * * * * [progress]: [ 246 / 614 ] simplifiying candidate # 91.904 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 91.904 * * [simplify]: iters left: 6 (16 enodes) 91.910 * * [simplify]: iters left: 5 (56 enodes) 91.920 * * [simplify]: iters left: 4 (88 enodes) 91.934 * * [simplify]: iters left: 3 (132 enodes) 91.955 * * [simplify]: iters left: 2 (205 enodes) 92.018 * * [simplify]: iters left: 1 (271 enodes) 92.114 * * [simplify]: Extracting #0: cost 1 inf + 0 92.115 * * [simplify]: Extracting #1: cost 41 inf + 0 92.115 * * [simplify]: Extracting #2: cost 78 inf + 0 92.115 * * [simplify]: Extracting #3: cost 77 inf + 649 92.115 * * [simplify]: Extracting #4: cost 76 inf + 1115 92.116 * * [simplify]: Extracting #5: cost 66 inf + 2407 92.120 * * [simplify]: Extracting #6: cost 26 inf + 15415 92.124 * * [simplify]: Extracting #7: cost 0 inf + 25179 92.128 * [simplify]: Simplified to (/ (* (* (cos th) (cbrt a1)) (/ (cbrt a1) (fabs (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) 92.128 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cos th) (cbrt a1)) (/ (cbrt a1) (fabs (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.129 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 92.129 * * [simplify]: iters left: 6 (13 enodes) 92.132 * * [simplify]: iters left: 5 (45 enodes) 92.140 * * [simplify]: iters left: 4 (69 enodes) 92.150 * * [simplify]: iters left: 3 (90 enodes) 92.162 * * [simplify]: iters left: 2 (109 enodes) 92.175 * * [simplify]: iters left: 1 (128 enodes) 92.196 * * [simplify]: Extracting #0: cost 1 inf + 0 92.196 * * [simplify]: Extracting #1: cost 21 inf + 0 92.197 * * [simplify]: Extracting #2: cost 40 inf + 1 92.197 * * [simplify]: Extracting #3: cost 43 inf + 284 92.197 * * [simplify]: Extracting #4: cost 44 inf + 406 92.197 * * [simplify]: Extracting #5: cost 43 inf + 407 92.198 * * [simplify]: Extracting #6: cost 32 inf + 2022 92.199 * * [simplify]: Extracting #7: cost 9 inf + 8103 92.200 * * [simplify]: Extracting #8: cost 0 inf + 10841 92.202 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) 92.202 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt a1)) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.202 * * * * [progress]: [ 247 / 614 ] simplifiying candidate # 92.202 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 92.202 * * [simplify]: iters left: 6 (15 enodes) 92.206 * * [simplify]: iters left: 5 (51 enodes) 92.214 * * [simplify]: iters left: 4 (75 enodes) 92.226 * * [simplify]: iters left: 3 (96 enodes) 92.239 * * [simplify]: iters left: 2 (115 enodes) 92.256 * * [simplify]: iters left: 1 (134 enodes) 92.294 * * [simplify]: Extracting #0: cost 1 inf + 0 92.294 * * [simplify]: Extracting #1: cost 21 inf + 0 92.294 * * [simplify]: Extracting #2: cost 44 inf + 0 92.295 * * [simplify]: Extracting #3: cost 45 inf + 145 92.295 * * [simplify]: Extracting #4: cost 45 inf + 349 92.296 * * [simplify]: Extracting #5: cost 33 inf + 1986 92.298 * * [simplify]: Extracting #6: cost 7 inf + 9138 92.301 * * [simplify]: Extracting #7: cost 0 inf + 11232 92.305 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 92.305 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.305 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 92.305 * * [simplify]: iters left: 6 (13 enodes) 92.309 * * [simplify]: iters left: 5 (45 enodes) 92.317 * * [simplify]: iters left: 4 (69 enodes) 92.328 * * [simplify]: iters left: 3 (90 enodes) 92.345 * * [simplify]: iters left: 2 (109 enodes) 92.361 * * [simplify]: iters left: 1 (128 enodes) 92.380 * * [simplify]: Extracting #0: cost 1 inf + 0 92.380 * * [simplify]: Extracting #1: cost 21 inf + 0 92.380 * * [simplify]: Extracting #2: cost 40 inf + 1 92.380 * * [simplify]: Extracting #3: cost 43 inf + 164 92.381 * * [simplify]: Extracting #4: cost 44 inf + 246 92.381 * * [simplify]: Extracting #5: cost 43 inf + 247 92.381 * * [simplify]: Extracting #6: cost 32 inf + 1862 92.382 * * [simplify]: Extracting #7: cost 9 inf + 7463 92.386 * * [simplify]: Extracting #8: cost 0 inf + 9961 92.389 * [simplify]: Simplified to (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (sqrt (cbrt (sqrt 2)))) 92.389 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (* (/ a1 (fabs (cbrt (sqrt 2)))) (sqrt a1)) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.389 * * * * [progress]: [ 248 / 614 ] simplifiying candidate # 92.390 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) 92.390 * * [simplify]: iters left: 6 (13 enodes) 92.397 * * [simplify]: iters left: 5 (43 enodes) 92.412 * * [simplify]: iters left: 4 (61 enodes) 92.428 * * [simplify]: iters left: 3 (71 enodes) 92.440 * * [simplify]: iters left: 2 (83 enodes) 92.452 * * [simplify]: iters left: 1 (109 enodes) 92.470 * * [simplify]: Extracting #0: cost 1 inf + 0 92.470 * * [simplify]: Extracting #1: cost 13 inf + 0 92.470 * * [simplify]: Extracting #2: cost 26 inf + 1 92.470 * * [simplify]: Extracting #3: cost 28 inf + 63 92.470 * * [simplify]: Extracting #4: cost 30 inf + 124 92.470 * * [simplify]: Extracting #5: cost 24 inf + 852 92.471 * * [simplify]: Extracting #6: cost 10 inf + 3713 92.472 * * [simplify]: Extracting #7: cost 0 inf + 6231 92.473 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 92.473 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.473 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 92.473 * * [simplify]: iters left: 6 (12 enodes) 92.477 * * [simplify]: iters left: 5 (42 enodes) 92.486 * * [simplify]: iters left: 4 (66 enodes) 92.498 * * [simplify]: iters left: 3 (84 enodes) 92.520 * * [simplify]: iters left: 2 (94 enodes) 92.534 * * [simplify]: iters left: 1 (101 enodes) 92.547 * * [simplify]: Extracting #0: cost 1 inf + 0 92.547 * * [simplify]: Extracting #1: cost 15 inf + 0 92.547 * * [simplify]: Extracting #2: cost 28 inf + 1 92.548 * * [simplify]: Extracting #3: cost 31 inf + 83 92.548 * * [simplify]: Extracting #4: cost 33 inf + 84 92.548 * * [simplify]: Extracting #5: cost 32 inf + 85 92.548 * * [simplify]: Extracting #6: cost 20 inf + 2142 92.549 * * [simplify]: Extracting #7: cost 2 inf + 6133 92.550 * * [simplify]: Extracting #8: cost 0 inf + 6537 92.551 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) a1)) 92.551 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.551 * * * * [progress]: [ 249 / 614 ] simplifiying candidate # 92.551 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 92.552 * * [simplify]: iters left: 6 (15 enodes) 92.557 * * [simplify]: iters left: 5 (53 enodes) 92.575 * * [simplify]: iters left: 4 (81 enodes) 92.602 * * [simplify]: iters left: 3 (114 enodes) 92.642 * * [simplify]: iters left: 2 (184 enodes) 92.703 * * [simplify]: iters left: 1 (257 enodes) 92.766 * * [simplify]: Extracting #0: cost 1 inf + 0 92.767 * * [simplify]: Extracting #1: cost 23 inf + 0 92.767 * * [simplify]: Extracting #2: cost 64 inf + 1 92.767 * * [simplify]: Extracting #3: cost 56 inf + 1136 92.768 * * [simplify]: Extracting #4: cost 38 inf + 4697 92.769 * * [simplify]: Extracting #5: cost 27 inf + 6192 92.771 * * [simplify]: Extracting #6: cost 4 inf + 13344 92.773 * * [simplify]: Extracting #7: cost 0 inf + 14794 92.778 * [simplify]: Simplified to (* (* (cbrt a1) (/ (cos th) (fabs (cbrt (sqrt 2))))) (cbrt a1)) 92.778 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (cos th) (fabs (cbrt (sqrt 2))))) (cbrt a1)) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.779 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 92.779 * * [simplify]: iters left: 6 (12 enodes) 92.782 * * [simplify]: iters left: 5 (42 enodes) 92.790 * * [simplify]: iters left: 4 (66 enodes) 92.800 * * [simplify]: iters left: 3 (87 enodes) 92.814 * * [simplify]: iters left: 2 (113 enodes) 92.846 * * [simplify]: iters left: 1 (155 enodes) 92.903 * * [simplify]: Extracting #0: cost 1 inf + 0 92.903 * * [simplify]: Extracting #1: cost 25 inf + 0 92.903 * * [simplify]: Extracting #2: cost 49 inf + 83 92.903 * * [simplify]: Extracting #3: cost 49 inf + 448 92.904 * * [simplify]: Extracting #4: cost 48 inf + 449 92.904 * * [simplify]: Extracting #5: cost 26 inf + 4647 92.906 * * [simplify]: Extracting #6: cost 2 inf + 10895 92.908 * * [simplify]: Extracting #7: cost 0 inf + 11539 92.910 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 92.910 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 92.910 * * * * [progress]: [ 250 / 614 ] simplifiying candidate # 92.911 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (sqrt a1))) 92.911 * * [simplify]: iters left: 6 (14 enodes) 92.915 * * [simplify]: iters left: 5 (48 enodes) 92.923 * * [simplify]: iters left: 4 (68 enodes) 92.939 * * [simplify]: iters left: 3 (80 enodes) 92.963 * * [simplify]: iters left: 2 (100 enodes) 92.986 * * [simplify]: iters left: 1 (117 enodes) 93.003 * * [simplify]: Extracting #0: cost 1 inf + 0 93.004 * * [simplify]: Extracting #1: cost 13 inf + 0 93.004 * * [simplify]: Extracting #2: cost 26 inf + 1 93.004 * * [simplify]: Extracting #3: cost 24 inf + 269 93.004 * * [simplify]: Extracting #4: cost 22 inf + 717 93.004 * * [simplify]: Extracting #5: cost 12 inf + 2312 93.005 * * [simplify]: Extracting #6: cost 2 inf + 4350 93.006 * * [simplify]: Extracting #7: cost 0 inf + 4854 93.007 * [simplify]: Simplified to (* (sqrt a1) (/ (cos th) (fabs (cbrt (sqrt 2))))) 93.007 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (cos th) (fabs (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.008 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 93.008 * * [simplify]: iters left: 6 (12 enodes) 93.011 * * [simplify]: iters left: 5 (42 enodes) 93.019 * * [simplify]: iters left: 4 (66 enodes) 93.030 * * [simplify]: iters left: 3 (87 enodes) 93.042 * * [simplify]: iters left: 2 (113 enodes) 93.059 * * [simplify]: iters left: 1 (155 enodes) 93.089 * * [simplify]: Extracting #0: cost 1 inf + 0 93.089 * * [simplify]: Extracting #1: cost 25 inf + 0 93.090 * * [simplify]: Extracting #2: cost 49 inf + 43 93.090 * * [simplify]: Extracting #3: cost 49 inf + 288 93.091 * * [simplify]: Extracting #4: cost 48 inf + 289 93.092 * * [simplify]: Extracting #5: cost 26 inf + 4327 93.096 * * [simplify]: Extracting #6: cost 2 inf + 9975 93.100 * * [simplify]: Extracting #7: cost 0 inf + 10539 93.104 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 93.104 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 (sqrt a1))) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.104 * * * * [progress]: [ 251 / 614 ] simplifiying candidate # 93.105 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 93.105 * * [simplify]: iters left: 6 (12 enodes) 93.108 * * [simplify]: iters left: 5 (38 enodes) 93.114 * * [simplify]: iters left: 4 (52 enodes) 93.122 * * [simplify]: iters left: 3 (53 enodes) 93.128 * * [simplify]: Extracting #0: cost 1 inf + 0 93.128 * * [simplify]: Extracting #1: cost 5 inf + 0 93.128 * * [simplify]: Extracting #2: cost 9 inf + 1 93.128 * * [simplify]: Extracting #3: cost 12 inf + 2 93.128 * * [simplify]: Extracting #4: cost 13 inf + 124 93.128 * * [simplify]: Extracting #5: cost 10 inf + 207 93.128 * * [simplify]: Extracting #6: cost 0 inf + 1941 93.129 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 93.129 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.129 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 93.129 * * [simplify]: iters left: 6 (11 enodes) 93.132 * * [simplify]: iters left: 5 (39 enodes) 93.140 * * [simplify]: iters left: 4 (63 enodes) 93.159 * * [simplify]: iters left: 3 (81 enodes) 93.179 * * [simplify]: iters left: 2 (98 enodes) 93.193 * * [simplify]: iters left: 1 (120 enodes) 93.213 * * [simplify]: Extracting #0: cost 1 inf + 0 93.213 * * [simplify]: Extracting #1: cost 23 inf + 0 93.214 * * [simplify]: Extracting #2: cost 38 inf + 43 93.214 * * [simplify]: Extracting #3: cost 39 inf + 166 93.214 * * [simplify]: Extracting #4: cost 38 inf + 167 93.214 * * [simplify]: Extracting #5: cost 27 inf + 1783 93.215 * * [simplify]: Extracting #6: cost 2 inf + 7113 93.217 * * [simplify]: Extracting #7: cost 0 inf + 7597 93.218 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2))))) 93.218 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.218 * * * * [progress]: [ 252 / 614 ] simplifiying candidate # 93.218 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) 93.219 * * [simplify]: iters left: 6 (11 enodes) 93.222 * * [simplify]: iters left: 5 (35 enodes) 93.228 * * [simplify]: iters left: 4 (49 enodes) 93.241 * * [simplify]: iters left: 3 (50 enodes) 93.253 * * [simplify]: Extracting #0: cost 1 inf + 0 93.253 * * [simplify]: Extracting #1: cost 5 inf + 0 93.253 * * [simplify]: Extracting #2: cost 9 inf + 1 93.254 * * [simplify]: Extracting #3: cost 12 inf + 2 93.254 * * [simplify]: Extracting #4: cost 14 inf + 63 93.254 * * [simplify]: Extracting #5: cost 11 inf + 166 93.254 * * [simplify]: Extracting #6: cost 2 inf + 1618 93.254 * * [simplify]: Extracting #7: cost 0 inf + 1941 93.254 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 93.254 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.255 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (sqrt 2)) a1)) 93.255 * * [simplify]: iters left: 6 (11 enodes) 93.258 * * [simplify]: iters left: 5 (39 enodes) 93.267 * * [simplify]: iters left: 4 (63 enodes) 93.277 * * [simplify]: iters left: 3 (81 enodes) 93.289 * * [simplify]: iters left: 2 (98 enodes) 93.304 * * [simplify]: iters left: 1 (120 enodes) 93.326 * * [simplify]: Extracting #0: cost 1 inf + 0 93.327 * * [simplify]: Extracting #1: cost 23 inf + 0 93.327 * * [simplify]: Extracting #2: cost 38 inf + 43 93.327 * * [simplify]: Extracting #3: cost 39 inf + 166 93.327 * * [simplify]: Extracting #4: cost 38 inf + 167 93.327 * * [simplify]: Extracting #5: cost 27 inf + 1783 93.328 * * [simplify]: Extracting #6: cost 2 inf + 7113 93.330 * * [simplify]: Extracting #7: cost 0 inf + 7597 93.331 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2))))) 93.331 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (fabs (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.331 * * * * [progress]: [ 253 / 614 ] simplifiying candidate # 93.332 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (sqrt 2))) 93.332 * * [simplify]: iters left: 6 (11 enodes) 93.335 * * [simplify]: iters left: 5 (37 enodes) 93.341 * * [simplify]: iters left: 4 (53 enodes) 93.355 * * [simplify]: iters left: 3 (56 enodes) 93.370 * * [simplify]: iters left: 2 (59 enodes) 93.386 * * [simplify]: iters left: 1 (71 enodes) 93.407 * * [simplify]: Extracting #0: cost 1 inf + 0 93.407 * * [simplify]: Extracting #1: cost 12 inf + 0 93.407 * * [simplify]: Extracting #2: cost 22 inf + 1 93.407 * * [simplify]: Extracting #3: cost 24 inf + 2 93.407 * * [simplify]: Extracting #4: cost 15 inf + 1013 93.408 * * [simplify]: Extracting #5: cost 4 inf + 3211 93.410 * * [simplify]: Extracting #6: cost 0 inf + 4097 93.411 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 93.411 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.411 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 a1)) 93.412 * * [simplify]: iters left: 6 (11 enodes) 93.417 * * [simplify]: iters left: 5 (39 enodes) 93.431 * * [simplify]: iters left: 4 (59 enodes) 93.449 * * [simplify]: iters left: 3 (70 enodes) 93.462 * * [simplify]: iters left: 2 (84 enodes) 93.472 * * [simplify]: Extracting #0: cost 1 inf + 0 93.472 * * [simplify]: Extracting #1: cost 9 inf + 0 93.472 * * [simplify]: Extracting #2: cost 14 inf + 2 93.472 * * [simplify]: Extracting #3: cost 16 inf + 85 93.472 * * [simplify]: Extracting #4: cost 17 inf + 168 93.473 * * [simplify]: Extracting #5: cost 16 inf + 169 93.474 * * [simplify]: Extracting #6: cost 12 inf + 534 93.474 * * [simplify]: Extracting #7: cost 7 inf + 1300 93.475 * * [simplify]: Extracting #8: cost 0 inf + 2753 93.475 * [simplify]: Simplified to (/ (* a1 a1) (fabs (cbrt (sqrt 2)))) 93.475 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (sqrt 2))) (/ (* a1 a1) (fabs (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.476 * * * * [progress]: [ 254 / 614 ] simplifiying candidate # 93.476 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 93.476 * * [simplify]: iters left: 6 (15 enodes) 93.482 * * [simplify]: iters left: 5 (55 enodes) 93.499 * * [simplify]: iters left: 4 (70 enodes) 93.510 * * [simplify]: iters left: 3 (97 enodes) 93.526 * * [simplify]: iters left: 2 (145 enodes) 93.569 * * [simplify]: iters left: 1 (191 enodes) 93.655 * * [simplify]: Extracting #0: cost 1 inf + 0 93.655 * * [simplify]: Extracting #1: cost 31 inf + 0 93.655 * * [simplify]: Extracting #2: cost 54 inf + 1 93.656 * * [simplify]: Extracting #3: cost 56 inf + 63 93.656 * * [simplify]: Extracting #4: cost 48 inf + 713 93.658 * * [simplify]: Extracting #5: cost 26 inf + 7146 93.664 * * [simplify]: Extracting #6: cost 2 inf + 15717 93.670 * * [simplify]: Extracting #7: cost 0 inf + 16524 93.676 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 93.676 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.676 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 93.677 * * [simplify]: iters left: 6 (11 enodes) 93.683 * * [simplify]: iters left: 5 (39 enodes) 93.695 * * [simplify]: iters left: 4 (46 enodes) 93.703 * * [simplify]: iters left: 3 (55 enodes) 93.713 * * [simplify]: iters left: 2 (65 enodes) 93.722 * * [simplify]: iters left: 1 (79 enodes) 93.737 * * [simplify]: Extracting #0: cost 1 inf + 0 93.737 * * [simplify]: Extracting #1: cost 16 inf + 0 93.737 * * [simplify]: Extracting #2: cost 25 inf + 2 93.737 * * [simplify]: Extracting #3: cost 28 inf + 2 93.737 * * [simplify]: Extracting #4: cost 27 inf + 3 93.738 * * [simplify]: Extracting #5: cost 21 inf + 692 93.738 * * [simplify]: Extracting #6: cost 16 inf + 1541 93.740 * * [simplify]: Extracting #7: cost 3 inf + 5291 93.741 * * [simplify]: Extracting #8: cost 0 inf + 6218 93.743 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) 93.743 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.744 * * * * [progress]: [ 255 / 614 ] simplifiying candidate # 93.744 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 93.744 * * [simplify]: iters left: 6 (14 enodes) 93.754 * * [simplify]: iters left: 5 (50 enodes) 93.768 * * [simplify]: iters left: 4 (57 enodes) 93.775 * * [simplify]: iters left: 3 (63 enodes) 93.784 * * [simplify]: iters left: 2 (74 enodes) 93.795 * * [simplify]: iters left: 1 (87 enodes) 93.822 * * [simplify]: Extracting #0: cost 1 inf + 0 93.822 * * [simplify]: Extracting #1: cost 12 inf + 0 93.822 * * [simplify]: Extracting #2: cost 24 inf + 1 93.822 * * [simplify]: Extracting #3: cost 26 inf + 63 93.822 * * [simplify]: Extracting #4: cost 19 inf + 631 93.823 * * [simplify]: Extracting #5: cost 14 inf + 1440 93.824 * * [simplify]: Extracting #6: cost 4 inf + 3844 93.826 * * [simplify]: Extracting #7: cost 0 inf + 5016 93.827 * [simplify]: Simplified to (/ (cos th) (* (sqrt (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) 93.827 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (sqrt (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.828 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 93.828 * * [simplify]: iters left: 6 (11 enodes) 93.834 * * [simplify]: iters left: 5 (39 enodes) 93.846 * * [simplify]: iters left: 4 (46 enodes) 93.860 * * [simplify]: iters left: 3 (55 enodes) 93.875 * * [simplify]: iters left: 2 (65 enodes) 93.895 * * [simplify]: iters left: 1 (79 enodes) 93.918 * * [simplify]: Extracting #0: cost 1 inf + 0 93.918 * * [simplify]: Extracting #1: cost 16 inf + 0 93.918 * * [simplify]: Extracting #2: cost 25 inf + 2 93.919 * * [simplify]: Extracting #3: cost 28 inf + 2 93.919 * * [simplify]: Extracting #4: cost 27 inf + 3 93.919 * * [simplify]: Extracting #5: cost 21 inf + 692 93.920 * * [simplify]: Extracting #6: cost 16 inf + 1501 93.921 * * [simplify]: Extracting #7: cost 3 inf + 4771 93.923 * * [simplify]: Extracting #8: cost 0 inf + 5578 93.925 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) 93.925 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (sqrt (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 93.925 * * * * [progress]: [ 256 / 614 ] simplifiying candidate # 93.926 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 93.926 * * [simplify]: iters left: 6 (17 enodes) 93.934 * * [simplify]: iters left: 5 (63 enodes) 93.944 * * [simplify]: iters left: 4 (86 enodes) 93.958 * * [simplify]: iters left: 3 (142 enodes) 94.010 * * [simplify]: iters left: 2 (260 enodes) 94.074 * * [simplify]: iters left: 1 (426 enodes) 94.277 * * [simplify]: Extracting #0: cost 1 inf + 0 94.277 * * [simplify]: Extracting #1: cost 65 inf + 0 94.278 * * [simplify]: Extracting #2: cost 112 inf + 1 94.278 * * [simplify]: Extracting #3: cost 110 inf + 266 94.279 * * [simplify]: Extracting #4: cost 102 inf + 1096 94.282 * * [simplify]: Extracting #5: cost 37 inf + 23591 94.289 * * [simplify]: Extracting #6: cost 0 inf + 39048 94.297 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) 94.297 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 94.298 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 94.298 * * [simplify]: iters left: 6 (12 enodes) 94.303 * * [simplify]: iters left: 5 (44 enodes) 94.317 * * [simplify]: iters left: 4 (59 enodes) 94.333 * * [simplify]: iters left: 3 (91 enodes) 94.350 * * [simplify]: iters left: 2 (141 enodes) 94.402 * * [simplify]: iters left: 1 (224 enodes) 94.474 * * [simplify]: Extracting #0: cost 1 inf + 0 94.475 * * [simplify]: Extracting #1: cost 35 inf + 0 94.475 * * [simplify]: Extracting #2: cost 67 inf + 83 94.476 * * [simplify]: Extracting #3: cost 67 inf + 285 94.477 * * [simplify]: Extracting #4: cost 65 inf + 407 94.478 * * [simplify]: Extracting #5: cost 51 inf + 2992 94.482 * * [simplify]: Extracting #6: cost 10 inf + 15399 94.488 * * [simplify]: Extracting #7: cost 0 inf + 18741 94.494 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 94.495 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 94.495 * * * * [progress]: [ 257 / 614 ] simplifiying candidate # 94.495 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 94.495 * * [simplify]: iters left: 6 (16 enodes) 94.506 * * [simplify]: iters left: 5 (58 enodes) 94.515 * * [simplify]: iters left: 4 (73 enodes) 94.526 * * [simplify]: iters left: 3 (103 enodes) 94.552 * * [simplify]: iters left: 2 (152 enodes) 94.583 * * [simplify]: iters left: 1 (228 enodes) 94.685 * * [simplify]: Extracting #0: cost 1 inf + 0 94.686 * * [simplify]: Extracting #1: cost 33 inf + 0 94.686 * * [simplify]: Extracting #2: cost 65 inf + 1 94.687 * * [simplify]: Extracting #3: cost 62 inf + 288 94.687 * * [simplify]: Extracting #4: cost 54 inf + 1059 94.692 * * [simplify]: Extracting #5: cost 13 inf + 13754 94.699 * * [simplify]: Extracting #6: cost 0 inf + 18404 94.706 * [simplify]: Simplified to (/ (sqrt a1) (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 94.707 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 94.707 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 94.707 * * [simplify]: iters left: 6 (12 enodes) 94.715 * * [simplify]: iters left: 5 (44 enodes) 94.729 * * [simplify]: iters left: 4 (59 enodes) 94.748 * * [simplify]: iters left: 3 (91 enodes) 94.773 * * [simplify]: iters left: 2 (141 enodes) 94.802 * * [simplify]: iters left: 1 (224 enodes) 94.901 * * [simplify]: Extracting #0: cost 1 inf + 0 94.901 * * [simplify]: Extracting #1: cost 35 inf + 0 94.902 * * [simplify]: Extracting #2: cost 67 inf + 43 94.902 * * [simplify]: Extracting #3: cost 67 inf + 165 94.903 * * [simplify]: Extracting #4: cost 65 inf + 247 94.904 * * [simplify]: Extracting #5: cost 51 inf + 2672 94.908 * * [simplify]: Extracting #6: cost 10 inf + 14119 94.915 * * [simplify]: Extracting #7: cost 0 inf + 17181 94.921 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 94.921 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 94.921 * * * * [progress]: [ 258 / 614 ] simplifiying candidate # 94.922 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 94.922 * * [simplify]: iters left: 6 (14 enodes) 94.928 * * [simplify]: iters left: 5 (50 enodes) 94.936 * * [simplify]: iters left: 4 (57 enodes) 94.944 * * [simplify]: iters left: 3 (65 enodes) 94.953 * * [simplify]: iters left: 2 (75 enodes) 94.966 * * [simplify]: iters left: 1 (104 enodes) 94.984 * * [simplify]: Extracting #0: cost 1 inf + 0 94.984 * * [simplify]: Extracting #1: cost 14 inf + 0 94.984 * * [simplify]: Extracting #2: cost 27 inf + 1 94.984 * * [simplify]: Extracting #3: cost 28 inf + 63 94.985 * * [simplify]: Extracting #4: cost 22 inf + 490 94.985 * * [simplify]: Extracting #5: cost 13 inf + 2504 94.986 * * [simplify]: Extracting #6: cost 0 inf + 6487 94.988 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 94.988 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 94.988 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 94.988 * * [simplify]: iters left: 6 (11 enodes) 94.991 * * [simplify]: iters left: 5 (41 enodes) 94.999 * * [simplify]: iters left: 4 (56 enodes) 95.008 * * [simplify]: iters left: 3 (85 enodes) 95.021 * * [simplify]: iters left: 2 (116 enodes) 95.044 * * [simplify]: iters left: 1 (155 enodes) 95.098 * * [simplify]: Extracting #0: cost 1 inf + 0 95.098 * * [simplify]: Extracting #1: cost 30 inf + 0 95.098 * * [simplify]: Extracting #2: cost 51 inf + 2 95.098 * * [simplify]: Extracting #3: cost 51 inf + 84 95.099 * * [simplify]: Extracting #4: cost 50 inf + 85 95.100 * * [simplify]: Extracting #5: cost 36 inf + 2669 95.103 * * [simplify]: Extracting #6: cost 5 inf + 10455 95.107 * * [simplify]: Extracting #7: cost 0 inf + 11988 95.111 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1) 95.111 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 95.111 * * * * [progress]: [ 259 / 614 ] simplifiying candidate # 95.112 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 95.112 * * [simplify]: iters left: 6 (19 enodes) 95.124 * * [simplify]: iters left: 5 (70 enodes) 95.145 * * [simplify]: iters left: 4 (93 enodes) 95.176 * * [simplify]: iters left: 3 (148 enodes) 95.206 * * [simplify]: iters left: 2 (265 enodes) 95.336 * * [simplify]: iters left: 1 (438 enodes) 95.553 * * [simplify]: Extracting #0: cost 1 inf + 0 95.554 * * [simplify]: Extracting #1: cost 55 inf + 0 95.554 * * [simplify]: Extracting #2: cost 104 inf + 1 95.555 * * [simplify]: Extracting #3: cost 98 inf + 1155 95.555 * * [simplify]: Extracting #4: cost 92 inf + 2528 95.558 * * [simplify]: Extracting #5: cost 40 inf + 20603 95.565 * * [simplify]: Extracting #6: cost 0 inf + 37308 95.572 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))))) 95.572 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 95.572 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 95.573 * * [simplify]: iters left: 6 (14 enodes) 95.577 * * [simplify]: iters left: 5 (50 enodes) 95.588 * * [simplify]: iters left: 4 (65 enodes) 95.612 * * [simplify]: iters left: 3 (97 enodes) 95.641 * * [simplify]: iters left: 2 (147 enodes) 95.678 * * [simplify]: iters left: 1 (225 enodes) 95.745 * * [simplify]: Extracting #0: cost 1 inf + 0 95.746 * * [simplify]: Extracting #1: cost 34 inf + 0 95.746 * * [simplify]: Extracting #2: cost 67 inf + 2 95.746 * * [simplify]: Extracting #3: cost 67 inf + 406 95.746 * * [simplify]: Extracting #4: cost 67 inf + 407 95.747 * * [simplify]: Extracting #5: cost 55 inf + 2427 95.749 * * [simplify]: Extracting #6: cost 14 inf + 15711 95.756 * * [simplify]: Extracting #7: cost 0 inf + 20500 95.763 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2))))) 95.763 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 95.763 * * * * [progress]: [ 260 / 614 ] simplifiying candidate # 95.763 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 95.764 * * [simplify]: iters left: 6 (18 enodes) 95.772 * * [simplify]: iters left: 5 (65 enodes) 95.782 * * [simplify]: iters left: 4 (80 enodes) 95.795 * * [simplify]: iters left: 3 (109 enodes) 95.817 * * [simplify]: iters left: 2 (157 enodes) 95.875 * * [simplify]: iters left: 1 (239 enodes) 95.942 * * [simplify]: Extracting #0: cost 1 inf + 0 95.942 * * [simplify]: Extracting #1: cost 40 inf + 0 95.943 * * [simplify]: Extracting #2: cost 73 inf + 1 95.943 * * [simplify]: Extracting #3: cost 74 inf + 105 95.945 * * [simplify]: Extracting #4: cost 51 inf + 5446 95.951 * * [simplify]: Extracting #5: cost 8 inf + 19311 95.959 * * [simplify]: Extracting #6: cost 0 inf + 22072 95.967 * [simplify]: Simplified to (* (/ (cos th) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) (sqrt a1)) 95.967 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) (sqrt a1)) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 95.967 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 95.967 * * [simplify]: iters left: 6 (14 enodes) 95.976 * * [simplify]: iters left: 5 (50 enodes) 95.995 * * [simplify]: iters left: 4 (65 enodes) 96.015 * * [simplify]: iters left: 3 (97 enodes) 96.046 * * [simplify]: iters left: 2 (147 enodes) 96.097 * * [simplify]: iters left: 1 (225 enodes) 96.170 * * [simplify]: Extracting #0: cost 1 inf + 0 96.170 * * [simplify]: Extracting #1: cost 34 inf + 0 96.171 * * [simplify]: Extracting #2: cost 67 inf + 2 96.171 * * [simplify]: Extracting #3: cost 67 inf + 246 96.172 * * [simplify]: Extracting #4: cost 67 inf + 247 96.173 * * [simplify]: Extracting #5: cost 55 inf + 2107 96.177 * * [simplify]: Extracting #6: cost 14 inf + 14431 96.184 * * [simplify]: Extracting #7: cost 0 inf + 18980 96.191 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2))))) 96.191 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (fabs (cbrt 2))) (cbrt (sqrt 2)))) (sqrt a1)) (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 96.191 * * * * [progress]: [ 261 / 614 ] simplifiying candidate # 96.192 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 96.192 * * [simplify]: iters left: 6 (16 enodes) 96.203 * * [simplify]: iters left: 5 (57 enodes) 96.213 * * [simplify]: iters left: 4 (64 enodes) 96.222 * * [simplify]: iters left: 3 (71 enodes) 96.233 * * [simplify]: iters left: 2 (80 enodes) 96.246 * * [simplify]: iters left: 1 (109 enodes) 96.264 * * [simplify]: Extracting #0: cost 1 inf + 0 96.264 * * [simplify]: Extracting #1: cost 14 inf + 0 96.265 * * [simplify]: Extracting #2: cost 27 inf + 1 96.265 * * [simplify]: Extracting #3: cost 30 inf + 63 96.265 * * [simplify]: Extracting #4: cost 20 inf + 1419 96.266 * * [simplify]: Extracting #5: cost 8 inf + 4355 96.268 * * [simplify]: Extracting #6: cost 0 inf + 6971 96.270 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 96.270 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 96.271 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 96.271 * * [simplify]: iters left: 6 (13 enodes) 96.278 * * [simplify]: iters left: 5 (47 enodes) 96.293 * * [simplify]: iters left: 4 (62 enodes) 96.316 * * [simplify]: iters left: 3 (91 enodes) 96.344 * * [simplify]: iters left: 2 (122 enodes) 96.385 * * [simplify]: iters left: 1 (160 enodes) 96.444 * * [simplify]: Extracting #0: cost 1 inf + 0 96.444 * * [simplify]: Extracting #1: cost 30 inf + 0 96.444 * * [simplify]: Extracting #2: cost 52 inf + 2 96.445 * * [simplify]: Extracting #3: cost 55 inf + 43 96.445 * * [simplify]: Extracting #4: cost 54 inf + 85 96.446 * * [simplify]: Extracting #5: cost 45 inf + 1259 96.448 * * [simplify]: Extracting #6: cost 19 inf + 7269 96.452 * * [simplify]: Extracting #7: cost 0 inf + 14072 96.456 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1)) 96.456 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 96.457 * * * * [progress]: [ 262 / 614 ] simplifiying candidate # 96.457 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 96.457 * * [simplify]: iters left: 6 (17 enodes) 96.468 * * [simplify]: iters left: 5 (63 enodes) 96.486 * * [simplify]: iters left: 4 (86 enodes) 96.512 * * [simplify]: iters left: 3 (141 enodes) 96.538 * * [simplify]: iters left: 2 (258 enodes) 96.617 * * [simplify]: iters left: 1 (434 enodes) 96.820 * * [simplify]: Extracting #0: cost 1 inf + 0 96.820 * * [simplify]: Extracting #1: cost 59 inf + 0 96.821 * * [simplify]: Extracting #2: cost 108 inf + 1 96.822 * * [simplify]: Extracting #3: cost 104 inf + 710 96.823 * * [simplify]: Extracting #4: cost 95 inf + 1541 96.825 * * [simplify]: Extracting #5: cost 47 inf + 17433 96.833 * * [simplify]: Extracting #6: cost 0 inf + 35198 96.842 * [simplify]: Simplified to (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 96.842 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 96.842 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 96.842 * * [simplify]: iters left: 6 (13 enodes) 96.846 * * [simplify]: iters left: 5 (47 enodes) 96.854 * * [simplify]: iters left: 4 (62 enodes) 96.864 * * [simplify]: iters left: 3 (94 enodes) 96.886 * * [simplify]: iters left: 2 (144 enodes) 96.918 * * [simplify]: iters left: 1 (221 enodes) 96.994 * * [simplify]: Extracting #0: cost 1 inf + 0 96.994 * * [simplify]: Extracting #1: cost 35 inf + 0 96.994 * * [simplify]: Extracting #2: cost 68 inf + 2 96.995 * * [simplify]: Extracting #3: cost 67 inf + 406 96.995 * * [simplify]: Extracting #4: cost 66 inf + 407 96.995 * * [simplify]: Extracting #5: cost 54 inf + 2426 96.998 * * [simplify]: Extracting #6: cost 7 inf + 15926 97.001 * * [simplify]: Extracting #7: cost 0 inf + 18260 97.007 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 97.007 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.007 * * * * [progress]: [ 263 / 614 ] simplifiying candidate # 97.008 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 97.008 * * [simplify]: iters left: 6 (16 enodes) 97.021 * * [simplify]: iters left: 5 (58 enodes) 97.038 * * [simplify]: iters left: 4 (73 enodes) 97.058 * * [simplify]: iters left: 3 (102 enodes) 97.089 * * [simplify]: iters left: 2 (150 enodes) 97.144 * * [simplify]: iters left: 1 (226 enodes) 97.228 * * [simplify]: Extracting #0: cost 1 inf + 0 97.228 * * [simplify]: Extracting #1: cost 37 inf + 0 97.229 * * [simplify]: Extracting #2: cost 69 inf + 1 97.229 * * [simplify]: Extracting #3: cost 67 inf + 146 97.229 * * [simplify]: Extracting #4: cost 55 inf + 1786 97.231 * * [simplify]: Extracting #5: cost 18 inf + 12171 97.235 * * [simplify]: Extracting #6: cost 1 inf + 17593 97.238 * * [simplify]: Extracting #7: cost 0 inf + 17896 97.247 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 97.247 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.248 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 97.248 * * [simplify]: iters left: 6 (13 enodes) 97.255 * * [simplify]: iters left: 5 (47 enodes) 97.270 * * [simplify]: iters left: 4 (62 enodes) 97.286 * * [simplify]: iters left: 3 (94 enodes) 97.301 * * [simplify]: iters left: 2 (144 enodes) 97.336 * * [simplify]: iters left: 1 (221 enodes) 97.385 * * [simplify]: Extracting #0: cost 1 inf + 0 97.385 * * [simplify]: Extracting #1: cost 35 inf + 0 97.386 * * [simplify]: Extracting #2: cost 68 inf + 2 97.386 * * [simplify]: Extracting #3: cost 67 inf + 246 97.386 * * [simplify]: Extracting #4: cost 66 inf + 247 97.387 * * [simplify]: Extracting #5: cost 54 inf + 2106 97.389 * * [simplify]: Extracting #6: cost 7 inf + 14526 97.392 * * [simplify]: Extracting #7: cost 0 inf + 16700 97.395 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 97.395 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.395 * * * * [progress]: [ 264 / 614 ] simplifiying candidate # 97.396 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 97.396 * * [simplify]: iters left: 6 (14 enodes) 97.402 * * [simplify]: iters left: 5 (50 enodes) 97.416 * * [simplify]: iters left: 4 (57 enodes) 97.429 * * [simplify]: iters left: 3 (64 enodes) 97.443 * * [simplify]: iters left: 2 (73 enodes) 97.462 * * [simplify]: iters left: 1 (102 enodes) 97.483 * * [simplify]: Extracting #0: cost 1 inf + 0 97.483 * * [simplify]: Extracting #1: cost 14 inf + 0 97.483 * * [simplify]: Extracting #2: cost 27 inf + 1 97.483 * * [simplify]: Extracting #3: cost 28 inf + 63 97.483 * * [simplify]: Extracting #4: cost 23 inf + 328 97.484 * * [simplify]: Extracting #5: cost 11 inf + 2668 97.485 * * [simplify]: Extracting #6: cost 1 inf + 5425 97.486 * * [simplify]: Extracting #7: cost 0 inf + 5687 97.487 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 97.487 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.487 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 97.487 * * [simplify]: iters left: 6 (12 enodes) 97.492 * * [simplify]: iters left: 5 (44 enodes) 97.503 * * [simplify]: iters left: 4 (59 enodes) 97.517 * * [simplify]: iters left: 3 (88 enodes) 97.543 * * [simplify]: iters left: 2 (119 enodes) 97.573 * * [simplify]: iters left: 1 (157 enodes) 97.607 * * [simplify]: Extracting #0: cost 1 inf + 0 97.607 * * [simplify]: Extracting #1: cost 30 inf + 0 97.608 * * [simplify]: Extracting #2: cost 51 inf + 43 97.608 * * [simplify]: Extracting #3: cost 53 inf + 84 97.610 * * [simplify]: Extracting #4: cost 52 inf + 85 97.611 * * [simplify]: Extracting #5: cost 43 inf + 1137 97.613 * * [simplify]: Extracting #6: cost 7 inf + 9855 97.616 * * [simplify]: Extracting #7: cost 0 inf + 11990 97.620 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2))))) 97.620 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.620 * * * * [progress]: [ 265 / 614 ] simplifiying candidate # 97.621 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 97.621 * * [simplify]: iters left: 6 (17 enodes) 97.635 * * [simplify]: iters left: 5 (63 enodes) 97.652 * * [simplify]: iters left: 4 (85 enodes) 97.673 * * [simplify]: iters left: 3 (141 enodes) 97.716 * * [simplify]: iters left: 2 (245 enodes) 97.844 * * [simplify]: iters left: 1 (398 enodes) 97.960 * * [simplify]: Extracting #0: cost 1 inf + 0 97.960 * * [simplify]: Extracting #1: cost 29 inf + 0 97.961 * * [simplify]: Extracting #2: cost 53 inf + 1 97.961 * * [simplify]: Extracting #3: cost 47 inf + 772 97.963 * * [simplify]: Extracting #4: cost 21 inf + 5605 97.968 * * [simplify]: Extracting #5: cost 5 inf + 10486 97.973 * * [simplify]: Extracting #6: cost 0 inf + 11838 97.980 * [simplify]: Simplified to (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))) (cos th)) 97.980 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))) (cos th)) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 97.980 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 97.980 * * [simplify]: iters left: 6 (11 enodes) 97.987 * * [simplify]: iters left: 5 (41 enodes) 98.000 * * [simplify]: iters left: 4 (59 enodes) 98.020 * * [simplify]: iters left: 3 (87 enodes) 98.046 * * [simplify]: iters left: 2 (117 enodes) 98.087 * * [simplify]: iters left: 1 (157 enodes) 98.136 * * [simplify]: Extracting #0: cost 1 inf + 0 98.136 * * [simplify]: Extracting #1: cost 29 inf + 0 98.137 * * [simplify]: Extracting #2: cost 52 inf + 83 98.137 * * [simplify]: Extracting #3: cost 51 inf + 406 98.138 * * [simplify]: Extracting #4: cost 50 inf + 407 98.138 * * [simplify]: Extracting #5: cost 45 inf + 1094 98.140 * * [simplify]: Extracting #6: cost 9 inf + 9732 98.144 * * [simplify]: Extracting #7: cost 0 inf + 12033 98.148 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 98.149 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt 2))) (cos th)) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.149 * * * * [progress]: [ 266 / 614 ] simplifiying candidate # 98.149 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt 1)) (sqrt a1))) 98.149 * * [simplify]: iters left: 6 (16 enodes) 98.166 * * [simplify]: iters left: 5 (58 enodes) 98.183 * * [simplify]: iters left: 4 (69 enodes) 98.196 * * [simplify]: iters left: 3 (87 enodes) 98.211 * * [simplify]: iters left: 2 (120 enodes) 98.244 * * [simplify]: iters left: 1 (155 enodes) 98.303 * * [simplify]: Extracting #0: cost 1 inf + 0 98.303 * * [simplify]: Extracting #1: cost 18 inf + 0 98.303 * * [simplify]: Extracting #2: cost 33 inf + 1 98.303 * * [simplify]: Extracting #3: cost 30 inf + 207 98.304 * * [simplify]: Extracting #4: cost 15 inf + 1791 98.306 * * [simplify]: Extracting #5: cost 0 inf + 5590 98.309 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) 98.309 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.309 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 98.309 * * [simplify]: iters left: 6 (11 enodes) 98.316 * * [simplify]: iters left: 5 (41 enodes) 98.332 * * [simplify]: iters left: 4 (59 enodes) 98.352 * * [simplify]: iters left: 3 (87 enodes) 98.376 * * [simplify]: iters left: 2 (117 enodes) 98.416 * * [simplify]: iters left: 1 (157 enodes) 98.463 * * [simplify]: Extracting #0: cost 1 inf + 0 98.463 * * [simplify]: Extracting #1: cost 29 inf + 0 98.463 * * [simplify]: Extracting #2: cost 52 inf + 43 98.464 * * [simplify]: Extracting #3: cost 51 inf + 246 98.464 * * [simplify]: Extracting #4: cost 50 inf + 247 98.464 * * [simplify]: Extracting #5: cost 45 inf + 854 98.465 * * [simplify]: Extracting #6: cost 9 inf + 8732 98.467 * * [simplify]: Extracting #7: cost 0 inf + 10833 98.469 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 98.470 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.470 * * * * [progress]: [ 267 / 614 ] simplifiying candidate # 98.470 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt 1)) 1)) 98.470 * * [simplify]: iters left: 6 (14 enodes) 98.480 * * [simplify]: iters left: 5 (50 enodes) 98.488 * * [simplify]: iters left: 4 (52 enodes) 98.498 * * [simplify]: iters left: 3 (54 enodes) 98.509 * * [simplify]: iters left: 2 (59 enodes) 98.522 * * [simplify]: iters left: 1 (60 enodes) 98.529 * * [simplify]: Extracting #0: cost 1 inf + 0 98.529 * * [simplify]: Extracting #1: cost 5 inf + 0 98.529 * * [simplify]: Extracting #2: cost 9 inf + 1 98.529 * * [simplify]: Extracting #3: cost 11 inf + 2 98.529 * * [simplify]: Extracting #4: cost 8 inf + 105 98.529 * * [simplify]: Extracting #5: cost 1 inf + 995 98.529 * * [simplify]: Extracting #6: cost 0 inf + 1217 98.530 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 98.530 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.530 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1)) 98.530 * * [simplify]: iters left: 6 (10 enodes) 98.533 * * [simplify]: iters left: 5 (38 enodes) 98.541 * * [simplify]: iters left: 4 (56 enodes) 98.560 * * [simplify]: iters left: 3 (82 enodes) 98.580 * * [simplify]: iters left: 2 (94 enodes) 98.601 * * [simplify]: iters left: 1 (109 enodes) 98.618 * * [simplify]: Extracting #0: cost 1 inf + 0 98.618 * * [simplify]: Extracting #1: cost 17 inf + 0 98.618 * * [simplify]: Extracting #2: cost 30 inf + 2 98.618 * * [simplify]: Extracting #3: cost 31 inf + 43 98.619 * * [simplify]: Extracting #4: cost 29 inf + 85 98.619 * * [simplify]: Extracting #5: cost 9 inf + 3441 98.621 * * [simplify]: Extracting #6: cost 1 inf + 5099 98.622 * * [simplify]: Extracting #7: cost 0 inf + 5302 98.623 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 98.623 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.623 * * * * [progress]: [ 268 / 614 ] simplifiying candidate # 98.623 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 98.623 * * [simplify]: iters left: 6 (17 enodes) 98.629 * * [simplify]: iters left: 5 (63 enodes) 98.639 * * [simplify]: iters left: 4 (86 enodes) 98.654 * * [simplify]: iters left: 3 (141 enodes) 98.696 * * [simplify]: iters left: 2 (258 enodes) 98.764 * * [simplify]: iters left: 1 (434 enodes) 98.964 * * [simplify]: Extracting #0: cost 1 inf + 0 98.964 * * [simplify]: Extracting #1: cost 59 inf + 0 98.965 * * [simplify]: Extracting #2: cost 108 inf + 1 98.966 * * [simplify]: Extracting #3: cost 104 inf + 710 98.966 * * [simplify]: Extracting #4: cost 95 inf + 1541 98.968 * * [simplify]: Extracting #5: cost 47 inf + 17433 98.975 * * [simplify]: Extracting #6: cost 0 inf + 35198 98.982 * [simplify]: Simplified to (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 98.982 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 98.983 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 98.983 * * [simplify]: iters left: 6 (13 enodes) 98.988 * * [simplify]: iters left: 5 (47 enodes) 98.996 * * [simplify]: iters left: 4 (62 enodes) 99.006 * * [simplify]: iters left: 3 (94 enodes) 99.027 * * [simplify]: iters left: 2 (144 enodes) 99.061 * * [simplify]: iters left: 1 (221 enodes) 99.121 * * [simplify]: Extracting #0: cost 1 inf + 0 99.121 * * [simplify]: Extracting #1: cost 35 inf + 0 99.121 * * [simplify]: Extracting #2: cost 68 inf + 2 99.122 * * [simplify]: Extracting #3: cost 67 inf + 406 99.122 * * [simplify]: Extracting #4: cost 66 inf + 407 99.122 * * [simplify]: Extracting #5: cost 54 inf + 2426 99.125 * * [simplify]: Extracting #6: cost 7 inf + 15926 99.128 * * [simplify]: Extracting #7: cost 0 inf + 18260 99.131 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 99.131 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 99.131 * * * * [progress]: [ 269 / 614 ] simplifiying candidate # 99.131 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 99.131 * * [simplify]: iters left: 6 (16 enodes) 99.137 * * [simplify]: iters left: 5 (58 enodes) 99.150 * * [simplify]: iters left: 4 (73 enodes) 99.171 * * [simplify]: iters left: 3 (102 enodes) 99.204 * * [simplify]: iters left: 2 (150 enodes) 99.260 * * [simplify]: iters left: 1 (226 enodes) 99.334 * * [simplify]: Extracting #0: cost 1 inf + 0 99.334 * * [simplify]: Extracting #1: cost 37 inf + 0 99.334 * * [simplify]: Extracting #2: cost 69 inf + 1 99.335 * * [simplify]: Extracting #3: cost 67 inf + 146 99.335 * * [simplify]: Extracting #4: cost 55 inf + 1786 99.337 * * [simplify]: Extracting #5: cost 18 inf + 12171 99.340 * * [simplify]: Extracting #6: cost 1 inf + 17593 99.343 * * [simplify]: Extracting #7: cost 0 inf + 17896 99.347 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 99.347 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 99.347 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 99.347 * * [simplify]: iters left: 6 (13 enodes) 99.353 * * [simplify]: iters left: 5 (47 enodes) 99.361 * * [simplify]: iters left: 4 (62 enodes) 99.380 * * [simplify]: iters left: 3 (94 enodes) 99.413 * * [simplify]: iters left: 2 (144 enodes) 99.450 * * [simplify]: iters left: 1 (221 enodes) 99.527 * * [simplify]: Extracting #0: cost 1 inf + 0 99.527 * * [simplify]: Extracting #1: cost 35 inf + 0 99.527 * * [simplify]: Extracting #2: cost 68 inf + 2 99.527 * * [simplify]: Extracting #3: cost 67 inf + 246 99.528 * * [simplify]: Extracting #4: cost 66 inf + 247 99.528 * * [simplify]: Extracting #5: cost 54 inf + 2106 99.530 * * [simplify]: Extracting #6: cost 7 inf + 14526 99.534 * * [simplify]: Extracting #7: cost 0 inf + 16700 99.537 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 99.537 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 99.537 * * * * [progress]: [ 270 / 614 ] simplifiying candidate # 99.537 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 99.538 * * [simplify]: iters left: 6 (14 enodes) 99.546 * * [simplify]: iters left: 5 (50 enodes) 99.561 * * [simplify]: iters left: 4 (57 enodes) 99.575 * * [simplify]: iters left: 3 (64 enodes) 99.584 * * [simplify]: iters left: 2 (73 enodes) 99.598 * * [simplify]: iters left: 1 (102 enodes) 99.627 * * [simplify]: Extracting #0: cost 1 inf + 0 99.627 * * [simplify]: Extracting #1: cost 14 inf + 0 99.627 * * [simplify]: Extracting #2: cost 27 inf + 1 99.627 * * [simplify]: Extracting #3: cost 28 inf + 63 99.628 * * [simplify]: Extracting #4: cost 23 inf + 328 99.628 * * [simplify]: Extracting #5: cost 11 inf + 2668 99.630 * * [simplify]: Extracting #6: cost 1 inf + 5425 99.632 * * [simplify]: Extracting #7: cost 0 inf + 5687 99.634 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) 99.634 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 99.635 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 99.635 * * [simplify]: iters left: 6 (12 enodes) 99.643 * * [simplify]: iters left: 5 (44 enodes) 99.654 * * [simplify]: iters left: 4 (59 enodes) 99.663 * * [simplify]: iters left: 3 (88 enodes) 99.677 * * [simplify]: iters left: 2 (119 enodes) 99.707 * * [simplify]: iters left: 1 (157 enodes) 99.747 * * [simplify]: Extracting #0: cost 1 inf + 0 99.747 * * [simplify]: Extracting #1: cost 30 inf + 0 99.748 * * [simplify]: Extracting #2: cost 51 inf + 43 99.748 * * [simplify]: Extracting #3: cost 53 inf + 84 99.748 * * [simplify]: Extracting #4: cost 52 inf + 85 99.749 * * [simplify]: Extracting #5: cost 43 inf + 1137 99.750 * * [simplify]: Extracting #6: cost 7 inf + 9855 99.752 * * [simplify]: Extracting #7: cost 0 inf + 11990 99.755 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2))))) 99.755 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 99.755 * * * * [progress]: [ 271 / 614 ] simplifiying candidate # 99.755 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 99.755 * * [simplify]: iters left: 6 (15 enodes) 99.761 * * [simplify]: iters left: 5 (57 enodes) 99.770 * * [simplify]: iters left: 4 (79 enodes) 99.788 * * [simplify]: iters left: 3 (135 enodes) 99.829 * * [simplify]: iters left: 2 (239 enodes) 99.950 * * [simplify]: iters left: 1 (399 enodes) 100.134 * * [simplify]: Extracting #0: cost 1 inf + 0 100.135 * * [simplify]: Extracting #1: cost 27 inf + 0 100.135 * * [simplify]: Extracting #2: cost 53 inf + 1 100.135 * * [simplify]: Extracting #3: cost 49 inf + 328 100.136 * * [simplify]: Extracting #4: cost 26 inf + 4192 100.138 * * [simplify]: Extracting #5: cost 3 inf + 10850 100.141 * * [simplify]: Extracting #6: cost 0 inf + 11838 100.143 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) 100.143 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.144 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 100.144 * * [simplify]: iters left: 6 (11 enodes) 100.149 * * [simplify]: iters left: 5 (41 enodes) 100.157 * * [simplify]: iters left: 4 (59 enodes) 100.168 * * [simplify]: iters left: 3 (87 enodes) 100.180 * * [simplify]: iters left: 2 (117 enodes) 100.214 * * [simplify]: iters left: 1 (157 enodes) 100.248 * * [simplify]: Extracting #0: cost 1 inf + 0 100.249 * * [simplify]: Extracting #1: cost 29 inf + 0 100.249 * * [simplify]: Extracting #2: cost 52 inf + 83 100.249 * * [simplify]: Extracting #3: cost 51 inf + 406 100.249 * * [simplify]: Extracting #4: cost 50 inf + 407 100.250 * * [simplify]: Extracting #5: cost 45 inf + 1094 100.251 * * [simplify]: Extracting #6: cost 9 inf + 9732 100.253 * * [simplify]: Extracting #7: cost 0 inf + 12033 100.255 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 100.255 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.255 * * * * [progress]: [ 272 / 614 ] simplifiying candidate # 100.255 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (sqrt a1))) 100.255 * * [simplify]: iters left: 6 (14 enodes) 100.261 * * [simplify]: iters left: 5 (52 enodes) 100.269 * * [simplify]: iters left: 4 (63 enodes) 100.285 * * [simplify]: iters left: 3 (81 enodes) 100.308 * * [simplify]: iters left: 2 (114 enodes) 100.335 * * [simplify]: iters left: 1 (150 enodes) 100.392 * * [simplify]: Extracting #0: cost 1 inf + 0 100.392 * * [simplify]: Extracting #1: cost 18 inf + 0 100.393 * * [simplify]: Extracting #2: cost 33 inf + 1 100.393 * * [simplify]: Extracting #3: cost 28 inf + 370 100.394 * * [simplify]: Extracting #4: cost 14 inf + 2458 100.397 * * [simplify]: Extracting #5: cost 1 inf + 5388 100.399 * * [simplify]: Extracting #6: cost 0 inf + 5590 100.402 * [simplify]: Simplified to (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) 100.402 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.402 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 100.402 * * [simplify]: iters left: 6 (11 enodes) 100.406 * * [simplify]: iters left: 5 (41 enodes) 100.413 * * [simplify]: iters left: 4 (59 enodes) 100.423 * * [simplify]: iters left: 3 (87 enodes) 100.440 * * [simplify]: iters left: 2 (117 enodes) 100.465 * * [simplify]: iters left: 1 (157 enodes) 100.515 * * [simplify]: Extracting #0: cost 1 inf + 0 100.515 * * [simplify]: Extracting #1: cost 29 inf + 0 100.515 * * [simplify]: Extracting #2: cost 52 inf + 43 100.516 * * [simplify]: Extracting #3: cost 51 inf + 246 100.516 * * [simplify]: Extracting #4: cost 50 inf + 247 100.517 * * [simplify]: Extracting #5: cost 45 inf + 854 100.519 * * [simplify]: Extracting #6: cost 9 inf + 8732 100.523 * * [simplify]: Extracting #7: cost 0 inf + 10833 100.527 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 100.527 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.527 * * * * [progress]: [ 273 / 614 ] simplifiying candidate # 100.527 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) 1)) 100.527 * * [simplify]: iters left: 6 (12 enodes) 100.539 * * [simplify]: iters left: 5 (45 enodes) 100.555 * * [simplify]: iters left: 4 (47 enodes) 100.561 * * [simplify]: iters left: 3 (49 enodes) 100.567 * * [simplify]: iters left: 2 (54 enodes) 100.574 * * [simplify]: iters left: 1 (55 enodes) 100.580 * * [simplify]: Extracting #0: cost 1 inf + 0 100.580 * * [simplify]: Extracting #1: cost 5 inf + 0 100.580 * * [simplify]: Extracting #2: cost 9 inf + 1 100.581 * * [simplify]: Extracting #3: cost 11 inf + 2 100.581 * * [simplify]: Extracting #4: cost 6 inf + 207 100.581 * * [simplify]: Extracting #5: cost 3 inf + 712 100.581 * * [simplify]: Extracting #6: cost 0 inf + 1217 100.581 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 100.581 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.582 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1)) 100.582 * * [simplify]: iters left: 6 (10 enodes) 100.585 * * [simplify]: iters left: 5 (38 enodes) 100.593 * * [simplify]: iters left: 4 (56 enodes) 100.611 * * [simplify]: iters left: 3 (82 enodes) 100.629 * * [simplify]: iters left: 2 (94 enodes) 100.642 * * [simplify]: iters left: 1 (109 enodes) 100.660 * * [simplify]: Extracting #0: cost 1 inf + 0 100.660 * * [simplify]: Extracting #1: cost 17 inf + 0 100.661 * * [simplify]: Extracting #2: cost 30 inf + 2 100.661 * * [simplify]: Extracting #3: cost 31 inf + 43 100.661 * * [simplify]: Extracting #4: cost 29 inf + 85 100.662 * * [simplify]: Extracting #5: cost 9 inf + 3441 100.664 * * [simplify]: Extracting #6: cost 1 inf + 5099 100.666 * * [simplify]: Extracting #7: cost 0 inf + 5302 100.668 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 100.668 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.668 * * * * [progress]: [ 274 / 614 ] simplifiying candidate # 100.668 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 100.669 * * [simplify]: iters left: 6 (17 enodes) 100.679 * * [simplify]: iters left: 5 (67 enodes) 100.696 * * [simplify]: iters left: 4 (116 enodes) 100.718 * * [simplify]: iters left: 3 (264 enodes) 100.831 * * [simplify]: Extracting #0: cost 1 inf + 0 100.831 * * [simplify]: Extracting #1: cost 63 inf + 0 100.832 * * [simplify]: Extracting #2: cost 142 inf + 1 100.833 * * [simplify]: Extracting #3: cost 135 inf + 873 100.835 * * [simplify]: Extracting #4: cost 124 inf + 2674 100.839 * * [simplify]: Extracting #5: cost 56 inf + 25703 100.847 * * [simplify]: Extracting #6: cost 1 inf + 47805 100.855 * * [simplify]: Extracting #7: cost 0 inf + 48068 100.864 * * [simplify]: Extracting #8: cost 0 inf + 48028 100.879 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) 100.879 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 100.879 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 100.880 * * [simplify]: iters left: 6 (12 enodes) 100.887 * * [simplify]: iters left: 5 (44 enodes) 100.896 * * [simplify]: iters left: 4 (59 enodes) 100.905 * * [simplify]: iters left: 3 (91 enodes) 100.926 * * [simplify]: iters left: 2 (141 enodes) 100.977 * * [simplify]: iters left: 1 (224 enodes) 101.053 * * [simplify]: Extracting #0: cost 1 inf + 0 101.053 * * [simplify]: Extracting #1: cost 35 inf + 0 101.054 * * [simplify]: Extracting #2: cost 67 inf + 83 101.054 * * [simplify]: Extracting #3: cost 67 inf + 285 101.054 * * [simplify]: Extracting #4: cost 65 inf + 407 101.055 * * [simplify]: Extracting #5: cost 51 inf + 2992 101.057 * * [simplify]: Extracting #6: cost 10 inf + 15399 101.060 * * [simplify]: Extracting #7: cost 0 inf + 18741 101.063 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 101.063 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 101.063 * * * * [progress]: [ 275 / 614 ] simplifiying candidate # 101.064 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 101.064 * * [simplify]: iters left: 6 (16 enodes) 101.069 * * [simplify]: iters left: 5 (60 enodes) 101.083 * * [simplify]: iters left: 4 (86 enodes) 101.107 * * [simplify]: iters left: 3 (163 enodes) 101.146 * * [simplify]: iters left: 2 (328 enodes) 101.302 * * [simplify]: Extracting #0: cost 1 inf + 0 101.302 * * [simplify]: Extracting #1: cost 57 inf + 0 101.303 * * [simplify]: Extracting #2: cost 109 inf + 1 101.304 * * [simplify]: Extracting #3: cost 105 inf + 207 101.305 * * [simplify]: Extracting #4: cost 97 inf + 1280 101.311 * * [simplify]: Extracting #5: cost 33 inf + 21667 101.318 * * [simplify]: Extracting #6: cost 0 inf + 32927 101.325 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) 101.325 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 101.325 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 101.325 * * [simplify]: iters left: 6 (12 enodes) 101.329 * * [simplify]: iters left: 5 (44 enodes) 101.336 * * [simplify]: iters left: 4 (59 enodes) 101.352 * * [simplify]: iters left: 3 (91 enodes) 101.377 * * [simplify]: iters left: 2 (141 enodes) 101.417 * * [simplify]: iters left: 1 (224 enodes) 101.483 * * [simplify]: Extracting #0: cost 1 inf + 0 101.483 * * [simplify]: Extracting #1: cost 35 inf + 0 101.484 * * [simplify]: Extracting #2: cost 67 inf + 43 101.484 * * [simplify]: Extracting #3: cost 67 inf + 165 101.484 * * [simplify]: Extracting #4: cost 65 inf + 247 101.485 * * [simplify]: Extracting #5: cost 51 inf + 2672 101.488 * * [simplify]: Extracting #6: cost 10 inf + 14119 101.494 * * [simplify]: Extracting #7: cost 0 inf + 17181 101.499 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 101.500 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 101.500 * * * * [progress]: [ 276 / 614 ] simplifiying candidate # 101.500 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 101.500 * * [simplify]: iters left: 6 (14 enodes) 101.511 * * [simplify]: iters left: 5 (52 enodes) 101.526 * * [simplify]: iters left: 4 (77 enodes) 101.549 * * [simplify]: iters left: 3 (128 enodes) 101.578 * * [simplify]: iters left: 2 (168 enodes) 101.606 * * [simplify]: iters left: 1 (222 enodes) 101.666 * * [simplify]: Extracting #0: cost 1 inf + 0 101.666 * * [simplify]: Extracting #1: cost 24 inf + 0 101.666 * * [simplify]: Extracting #2: cost 44 inf + 1 101.666 * * [simplify]: Extracting #3: cost 43 inf + 124 101.666 * * [simplify]: Extracting #4: cost 38 inf + 570 101.667 * * [simplify]: Extracting #5: cost 16 inf + 6508 101.670 * * [simplify]: Extracting #6: cost 0 inf + 11397 101.672 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 101.672 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 101.673 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 101.673 * * [simplify]: iters left: 6 (11 enodes) 101.676 * * [simplify]: iters left: 5 (41 enodes) 101.686 * * [simplify]: iters left: 4 (56 enodes) 101.697 * * [simplify]: iters left: 3 (85 enodes) 101.712 * * [simplify]: iters left: 2 (116 enodes) 101.737 * * [simplify]: iters left: 1 (155 enodes) 101.774 * * [simplify]: Extracting #0: cost 1 inf + 0 101.774 * * [simplify]: Extracting #1: cost 30 inf + 0 101.774 * * [simplify]: Extracting #2: cost 51 inf + 2 101.774 * * [simplify]: Extracting #3: cost 51 inf + 84 101.775 * * [simplify]: Extracting #4: cost 50 inf + 85 101.775 * * [simplify]: Extracting #5: cost 36 inf + 2669 101.776 * * [simplify]: Extracting #6: cost 5 inf + 10455 101.778 * * [simplify]: Extracting #7: cost 0 inf + 11988 101.781 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1) 101.781 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 101.781 * * * * [progress]: [ 277 / 614 ] simplifiying candidate # 101.781 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 101.781 * * [simplify]: iters left: 6 (16 enodes) 101.788 * * [simplify]: iters left: 5 (60 enodes) 101.799 * * [simplify]: iters left: 4 (83 enodes) 101.819 * * [simplify]: iters left: 3 (138 enodes) 101.847 * * [simplify]: iters left: 2 (254 enodes) 101.927 * * [simplify]: iters left: 1 (430 enodes) 102.104 * * [simplify]: Extracting #0: cost 1 inf + 0 102.104 * * [simplify]: Extracting #1: cost 56 inf + 0 102.105 * * [simplify]: Extracting #2: cost 104 inf + 1 102.105 * * [simplify]: Extracting #3: cost 98 inf + 690 102.106 * * [simplify]: Extracting #4: cost 89 inf + 2065 102.111 * * [simplify]: Extracting #5: cost 33 inf + 19958 102.123 * * [simplify]: Extracting #6: cost 1 inf + 31203 102.137 * * [simplify]: Extracting #7: cost 0 inf + 31525 102.150 * [simplify]: Simplified to (/ (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cos th))) 102.150 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cos th))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.151 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 102.151 * * [simplify]: iters left: 6 (12 enodes) 102.157 * * [simplify]: iters left: 5 (44 enodes) 102.167 * * [simplify]: iters left: 4 (59 enodes) 102.177 * * [simplify]: iters left: 3 (91 enodes) 102.196 * * [simplify]: iters left: 2 (141 enodes) 102.252 * * [simplify]: iters left: 1 (224 enodes) 102.350 * * [simplify]: Extracting #0: cost 1 inf + 0 102.351 * * [simplify]: Extracting #1: cost 35 inf + 0 102.351 * * [simplify]: Extracting #2: cost 67 inf + 83 102.351 * * [simplify]: Extracting #3: cost 67 inf + 285 102.351 * * [simplify]: Extracting #4: cost 65 inf + 407 102.352 * * [simplify]: Extracting #5: cost 51 inf + 2912 102.354 * * [simplify]: Extracting #6: cost 10 inf + 13999 102.357 * * [simplify]: Extracting #7: cost 0 inf + 17021 102.361 * [simplify]: Simplified to (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 102.361 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cos th))) (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.361 * * * * [progress]: [ 278 / 614 ] simplifiying candidate # 102.361 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 102.361 * * [simplify]: iters left: 6 (15 enodes) 102.367 * * [simplify]: iters left: 5 (55 enodes) 102.378 * * [simplify]: iters left: 4 (70 enodes) 102.395 * * [simplify]: iters left: 3 (99 enodes) 102.425 * * [simplify]: iters left: 2 (147 enodes) 102.460 * * [simplify]: iters left: 1 (228 enodes) 102.526 * * [simplify]: Extracting #0: cost 1 inf + 0 102.526 * * [simplify]: Extracting #1: cost 34 inf + 0 102.526 * * [simplify]: Extracting #2: cost 67 inf + 1 102.526 * * [simplify]: Extracting #3: cost 64 inf + 146 102.527 * * [simplify]: Extracting #4: cost 57 inf + 856 102.528 * * [simplify]: Extracting #5: cost 17 inf + 11025 102.531 * * [simplify]: Extracting #6: cost 0 inf + 16351 102.534 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (sqrt (cbrt (sqrt 2))))) 102.534 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (sqrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.535 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 102.535 * * [simplify]: iters left: 6 (12 enodes) 102.540 * * [simplify]: iters left: 5 (44 enodes) 102.553 * * [simplify]: iters left: 4 (59 enodes) 102.565 * * [simplify]: iters left: 3 (91 enodes) 102.580 * * [simplify]: iters left: 2 (141 enodes) 102.616 * * [simplify]: iters left: 1 (224 enodes) 102.674 * * [simplify]: Extracting #0: cost 1 inf + 0 102.674 * * [simplify]: Extracting #1: cost 35 inf + 0 102.674 * * [simplify]: Extracting #2: cost 67 inf + 43 102.675 * * [simplify]: Extracting #3: cost 67 inf + 165 102.675 * * [simplify]: Extracting #4: cost 65 inf + 247 102.675 * * [simplify]: Extracting #5: cost 51 inf + 2592 102.678 * * [simplify]: Extracting #6: cost 10 inf + 12719 102.684 * * [simplify]: Extracting #7: cost 0 inf + 15461 102.690 * [simplify]: Simplified to (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 102.690 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (sqrt (cbrt (sqrt 2))))) (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.690 * * * * [progress]: [ 279 / 614 ] simplifiying candidate # 102.691 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 102.691 * * [simplify]: iters left: 6 (13 enodes) 102.700 * * [simplify]: iters left: 5 (47 enodes) 102.710 * * [simplify]: iters left: 4 (54 enodes) 102.724 * * [simplify]: iters left: 3 (61 enodes) 102.743 * * [simplify]: iters left: 2 (70 enodes) 102.760 * * [simplify]: iters left: 1 (99 enodes) 102.776 * * [simplify]: Extracting #0: cost 1 inf + 0 102.776 * * [simplify]: Extracting #1: cost 14 inf + 0 102.776 * * [simplify]: Extracting #2: cost 26 inf + 1 102.776 * * [simplify]: Extracting #3: cost 26 inf + 63 102.777 * * [simplify]: Extracting #4: cost 21 inf + 328 102.777 * * [simplify]: Extracting #5: cost 7 inf + 3292 102.778 * * [simplify]: Extracting #6: cost 0 inf + 5045 102.779 * [simplify]: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 102.779 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.779 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 102.779 * * [simplify]: iters left: 6 (11 enodes) 102.784 * * [simplify]: iters left: 5 (41 enodes) 102.796 * * [simplify]: iters left: 4 (56 enodes) 102.814 * * [simplify]: iters left: 3 (85 enodes) 102.839 * * [simplify]: iters left: 2 (116 enodes) 102.870 * * [simplify]: iters left: 1 (155 enodes) 102.917 * * [simplify]: Extracting #0: cost 1 inf + 0 102.917 * * [simplify]: Extracting #1: cost 30 inf + 0 102.917 * * [simplify]: Extracting #2: cost 51 inf + 2 102.917 * * [simplify]: Extracting #3: cost 51 inf + 84 102.918 * * [simplify]: Extracting #4: cost 50 inf + 85 102.919 * * [simplify]: Extracting #5: cost 36 inf + 2429 102.921 * * [simplify]: Extracting #6: cost 5 inf + 9375 102.925 * * [simplify]: Extracting #7: cost 0 inf + 10708 102.928 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a1) 102.928 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 102.928 * * * * [progress]: [ 280 / 614 ] simplifiying candidate # 102.929 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 102.929 * * [simplify]: iters left: 6 (15 enodes) 102.939 * * [simplify]: iters left: 5 (57 enodes) 102.958 * * [simplify]: iters left: 4 (76 enodes) 102.981 * * [simplify]: iters left: 3 (122 enodes) 103.024 * * [simplify]: iters left: 2 (212 enodes) 103.115 * * [simplify]: iters left: 1 (326 enodes) 103.236 * * [simplify]: Extracting #0: cost 1 inf + 0 103.237 * * [simplify]: Extracting #1: cost 26 inf + 0 103.237 * * [simplify]: Extracting #2: cost 50 inf + 1 103.237 * * [simplify]: Extracting #3: cost 42 inf + 995 103.238 * * [simplify]: Extracting #4: cost 23 inf + 4012 103.241 * * [simplify]: Extracting #5: cost 3 inf + 9599 103.244 * * [simplify]: Extracting #6: cost 0 inf + 10607 103.247 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) 103.247 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.247 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 103.247 * * [simplify]: iters left: 6 (11 enodes) 103.251 * * [simplify]: iters left: 5 (41 enodes) 103.258 * * [simplify]: iters left: 4 (59 enodes) 103.269 * * [simplify]: iters left: 3 (87 enodes) 103.285 * * [simplify]: iters left: 2 (117 enodes) 103.304 * * [simplify]: iters left: 1 (157 enodes) 103.332 * * [simplify]: Extracting #0: cost 1 inf + 0 103.332 * * [simplify]: Extracting #1: cost 29 inf + 0 103.332 * * [simplify]: Extracting #2: cost 52 inf + 83 103.332 * * [simplify]: Extracting #3: cost 51 inf + 406 103.333 * * [simplify]: Extracting #4: cost 50 inf + 407 103.333 * * [simplify]: Extracting #5: cost 45 inf + 1094 103.334 * * [simplify]: Extracting #6: cost 9 inf + 9732 103.336 * * [simplify]: Extracting #7: cost 0 inf + 12033 103.340 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 103.340 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1)))) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.340 * * * * [progress]: [ 281 / 614 ] simplifiying candidate # 103.340 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ 1 (sqrt a1))) 103.340 * * [simplify]: iters left: 6 (14 enodes) 103.346 * * [simplify]: iters left: 5 (52 enodes) 103.357 * * [simplify]: iters left: 4 (63 enodes) 103.375 * * [simplify]: iters left: 3 (81 enodes) 103.400 * * [simplify]: iters left: 2 (115 enodes) 103.425 * * [simplify]: iters left: 1 (165 enodes) 103.461 * * [simplify]: Extracting #0: cost 1 inf + 0 103.461 * * [simplify]: Extracting #1: cost 16 inf + 0 103.461 * * [simplify]: Extracting #2: cost 31 inf + 1 103.461 * * [simplify]: Extracting #3: cost 25 inf + 432 103.462 * * [simplify]: Extracting #4: cost 13 inf + 1954 103.465 * * [simplify]: Extracting #5: cost 1 inf + 4580 103.467 * * [simplify]: Extracting #6: cost 0 inf + 4782 103.470 * [simplify]: Simplified to (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) 103.470 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.471 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 103.471 * * [simplify]: iters left: 6 (11 enodes) 103.477 * * [simplify]: iters left: 5 (41 enodes) 103.491 * * [simplify]: iters left: 4 (59 enodes) 103.510 * * [simplify]: iters left: 3 (87 enodes) 103.525 * * [simplify]: iters left: 2 (117 enodes) 103.547 * * [simplify]: iters left: 1 (157 enodes) 103.578 * * [simplify]: Extracting #0: cost 1 inf + 0 103.578 * * [simplify]: Extracting #1: cost 29 inf + 0 103.579 * * [simplify]: Extracting #2: cost 52 inf + 43 103.580 * * [simplify]: Extracting #3: cost 51 inf + 246 103.580 * * [simplify]: Extracting #4: cost 50 inf + 247 103.580 * * [simplify]: Extracting #5: cost 45 inf + 854 103.581 * * [simplify]: Extracting #6: cost 9 inf + 8732 103.585 * * [simplify]: Extracting #7: cost 0 inf + 10833 103.590 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 103.590 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.590 * * * * [progress]: [ 282 / 614 ] simplifiying candidate # 103.590 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ 1 1)) 103.590 * * [simplify]: iters left: 6 (12 enodes) 103.601 * * [simplify]: iters left: 5 (42 enodes) 103.614 * * [simplify]: iters left: 4 (47 enodes) 103.626 * * [simplify]: iters left: 3 (51 enodes) 103.639 * * [simplify]: iters left: 2 (59 enodes) 103.649 * * [simplify]: iters left: 1 (66 enodes) 103.659 * * [simplify]: Extracting #0: cost 1 inf + 0 103.659 * * [simplify]: Extracting #1: cost 8 inf + 0 103.659 * * [simplify]: Extracting #2: cost 14 inf + 1 103.659 * * [simplify]: Extracting #3: cost 15 inf + 2 103.659 * * [simplify]: Extracting #4: cost 9 inf + 309 103.659 * * [simplify]: Extracting #5: cost 5 inf + 976 103.660 * * [simplify]: Extracting #6: cost 0 inf + 1865 103.660 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 103.660 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.661 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1)) 103.661 * * [simplify]: iters left: 6 (10 enodes) 103.664 * * [simplify]: iters left: 5 (38 enodes) 103.670 * * [simplify]: iters left: 4 (56 enodes) 103.684 * * [simplify]: iters left: 3 (82 enodes) 103.700 * * [simplify]: iters left: 2 (94 enodes) 103.723 * * [simplify]: iters left: 1 (109 enodes) 103.749 * * [simplify]: Extracting #0: cost 1 inf + 0 103.749 * * [simplify]: Extracting #1: cost 17 inf + 0 103.749 * * [simplify]: Extracting #2: cost 30 inf + 2 103.749 * * [simplify]: Extracting #3: cost 31 inf + 43 103.750 * * [simplify]: Extracting #4: cost 29 inf + 85 103.750 * * [simplify]: Extracting #5: cost 9 inf + 3441 103.751 * * [simplify]: Extracting #6: cost 1 inf + 5099 103.752 * * [simplify]: Extracting #7: cost 0 inf + 5302 103.753 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 103.753 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.753 * * * * [progress]: [ 283 / 614 ] simplifiying candidate # 103.754 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) 1) 103.754 * * [simplify]: iters left: 6 (11 enodes) 103.759 * * [simplify]: iters left: 5 (39 enodes) 103.765 * * [simplify]: iters left: 4 (44 enodes) 103.771 * * [simplify]: iters left: 3 (50 enodes) 103.778 * * [simplify]: iters left: 2 (58 enodes) 103.786 * * [simplify]: iters left: 1 (65 enodes) 103.796 * * [simplify]: Extracting #0: cost 1 inf + 0 103.796 * * [simplify]: Extracting #1: cost 8 inf + 0 103.796 * * [simplify]: Extracting #2: cost 14 inf + 1 103.796 * * [simplify]: Extracting #3: cost 15 inf + 2 103.796 * * [simplify]: Extracting #4: cost 12 inf + 105 103.796 * * [simplify]: Extracting #5: cost 1 inf + 1703 103.797 * * [simplify]: Extracting #6: cost 0 inf + 1865 103.797 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 103.797 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.798 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (sqrt 2)) a1)) 103.798 * * [simplify]: iters left: 6 (10 enodes) 103.801 * * [simplify]: iters left: 5 (38 enodes) 103.807 * * [simplify]: iters left: 4 (56 enodes) 103.818 * * [simplify]: iters left: 3 (82 enodes) 103.830 * * [simplify]: iters left: 2 (94 enodes) 103.843 * * [simplify]: iters left: 1 (109 enodes) 103.860 * * [simplify]: Extracting #0: cost 1 inf + 0 103.860 * * [simplify]: Extracting #1: cost 17 inf + 0 103.860 * * [simplify]: Extracting #2: cost 30 inf + 2 103.860 * * [simplify]: Extracting #3: cost 31 inf + 43 103.861 * * [simplify]: Extracting #4: cost 29 inf + 85 103.861 * * [simplify]: Extracting #5: cost 9 inf + 3441 103.862 * * [simplify]: Extracting #6: cost 1 inf + 5099 103.863 * * [simplify]: Extracting #7: cost 0 inf + 5302 103.864 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 103.864 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.865 * * * * [progress]: [ 284 / 614 ] simplifiying candidate # 103.865 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (cbrt (sqrt 2))) 103.865 * * [simplify]: iters left: 6 (11 enodes) 103.870 * * [simplify]: iters left: 5 (41 enodes) 103.876 * * [simplify]: iters left: 4 (50 enodes) 103.883 * * [simplify]: iters left: 3 (57 enodes) 103.892 * * [simplify]: iters left: 2 (64 enodes) 103.901 * * [simplify]: iters left: 1 (75 enodes) 103.918 * * [simplify]: Extracting #0: cost 1 inf + 0 103.918 * * [simplify]: Extracting #1: cost 11 inf + 0 103.918 * * [simplify]: Extracting #2: cost 20 inf + 1 103.918 * * [simplify]: Extracting #3: cost 21 inf + 2 103.918 * * [simplify]: Extracting #4: cost 19 inf + 64 103.918 * * [simplify]: Extracting #5: cost 11 inf + 1055 103.919 * * [simplify]: Extracting #6: cost 0 inf + 3516 103.920 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 103.921 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 103.921 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ 1 a1)) 103.921 * * [simplify]: iters left: 6 (10 enodes) 103.927 * * [simplify]: iters left: 5 (38 enodes) 103.938 * * [simplify]: iters left: 4 (49 enodes) 103.948 * * [simplify]: iters left: 3 (69 enodes) 103.961 * * [simplify]: iters left: 2 (92 enodes) 103.986 * * [simplify]: iters left: 1 (115 enodes) 104.023 * * [simplify]: Extracting #0: cost 1 inf + 0 104.023 * * [simplify]: Extracting #1: cost 11 inf + 0 104.024 * * [simplify]: Extracting #2: cost 18 inf + 2 104.024 * * [simplify]: Extracting #3: cost 18 inf + 85 104.024 * * [simplify]: Extracting #4: cost 14 inf + 251 104.024 * * [simplify]: Extracting #5: cost 3 inf + 1911 104.025 * * [simplify]: Extracting #6: cost 0 inf + 2437 104.026 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 104.026 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.026 * * * * [progress]: [ 285 / 614 ] simplifiying candidate # 104.026 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 104.026 * * [simplify]: iters left: 6 (14 enodes) 104.031 * * [simplify]: iters left: 5 (50 enodes) 104.039 * * [simplify]: iters left: 4 (65 enodes) 104.054 * * [simplify]: iters left: 3 (93 enodes) 104.076 * * [simplify]: iters left: 2 (143 enodes) 104.112 * * [simplify]: iters left: 1 (189 enodes) 104.155 * * [simplify]: Extracting #0: cost 1 inf + 0 104.155 * * [simplify]: Extracting #1: cost 31 inf + 0 104.156 * * [simplify]: Extracting #2: cost 56 inf + 1 104.156 * * [simplify]: Extracting #3: cost 59 inf + 63 104.156 * * [simplify]: Extracting #4: cost 52 inf + 551 104.157 * * [simplify]: Extracting #5: cost 21 inf + 9951 104.160 * * [simplify]: Extracting #6: cost 2 inf + 16947 104.163 * * [simplify]: Extracting #7: cost 0 inf + 17753 104.166 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 104.166 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.166 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 104.166 * * [simplify]: iters left: 6 (11 enodes) 104.172 * * [simplify]: iters left: 5 (39 enodes) 104.179 * * [simplify]: iters left: 4 (46 enodes) 104.186 * * [simplify]: iters left: 3 (55 enodes) 104.194 * * [simplify]: iters left: 2 (65 enodes) 104.203 * * [simplify]: iters left: 1 (79 enodes) 104.215 * * [simplify]: Extracting #0: cost 1 inf + 0 104.215 * * [simplify]: Extracting #1: cost 16 inf + 0 104.215 * * [simplify]: Extracting #2: cost 25 inf + 2 104.215 * * [simplify]: Extracting #3: cost 28 inf + 2 104.215 * * [simplify]: Extracting #4: cost 27 inf + 3 104.216 * * [simplify]: Extracting #5: cost 21 inf + 692 104.216 * * [simplify]: Extracting #6: cost 16 inf + 1541 104.217 * * [simplify]: Extracting #7: cost 3 inf + 5291 104.219 * * [simplify]: Extracting #8: cost 0 inf + 6218 104.220 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) 104.220 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.221 * * * * [progress]: [ 286 / 614 ] simplifiying candidate # 104.221 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 104.221 * * [simplify]: iters left: 6 (13 enodes) 104.228 * * [simplify]: iters left: 5 (45 enodes) 104.241 * * [simplify]: iters left: 4 (52 enodes) 104.248 * * [simplify]: iters left: 3 (61 enodes) 104.257 * * [simplify]: iters left: 2 (74 enodes) 104.269 * * [simplify]: iters left: 1 (88 enodes) 104.281 * * [simplify]: Extracting #0: cost 1 inf + 0 104.281 * * [simplify]: Extracting #1: cost 15 inf + 0 104.281 * * [simplify]: Extracting #2: cost 27 inf + 1 104.281 * * [simplify]: Extracting #3: cost 29 inf + 63 104.282 * * [simplify]: Extracting #4: cost 22 inf + 732 104.282 * * [simplify]: Extracting #5: cost 6 inf + 4309 104.283 * * [simplify]: Extracting #6: cost 0 inf + 6087 104.284 * [simplify]: Simplified to (/ (cos th) (* (sqrt (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) 104.284 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (sqrt (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.285 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) 104.285 * * [simplify]: iters left: 6 (11 enodes) 104.288 * * [simplify]: iters left: 5 (39 enodes) 104.294 * * [simplify]: iters left: 4 (46 enodes) 104.301 * * [simplify]: iters left: 3 (55 enodes) 104.309 * * [simplify]: iters left: 2 (65 enodes) 104.318 * * [simplify]: iters left: 1 (79 enodes) 104.335 * * [simplify]: Extracting #0: cost 1 inf + 0 104.335 * * [simplify]: Extracting #1: cost 16 inf + 0 104.335 * * [simplify]: Extracting #2: cost 25 inf + 2 104.336 * * [simplify]: Extracting #3: cost 28 inf + 2 104.336 * * [simplify]: Extracting #4: cost 27 inf + 3 104.336 * * [simplify]: Extracting #5: cost 21 inf + 692 104.337 * * [simplify]: Extracting #6: cost 16 inf + 1501 104.337 * * [simplify]: Extracting #7: cost 3 inf + 4771 104.338 * * [simplify]: Extracting #8: cost 0 inf + 5578 104.339 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) 104.339 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.340 * * * * [progress]: [ 287 / 614 ] simplifiying candidate # 104.340 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 104.340 * * [simplify]: iters left: 6 (16 enodes) 104.346 * * [simplify]: iters left: 5 (58 enodes) 104.356 * * [simplify]: iters left: 4 (81 enodes) 104.371 * * [simplify]: iters left: 3 (140 enodes) 104.396 * * [simplify]: iters left: 2 (259 enodes) 104.471 * * [simplify]: iters left: 1 (434 enodes) 104.630 * * [simplify]: Extracting #0: cost 1 inf + 0 104.630 * * [simplify]: Extracting #1: cost 61 inf + 0 104.630 * * [simplify]: Extracting #2: cost 119 inf + 1 104.631 * * [simplify]: Extracting #3: cost 115 inf + 468 104.632 * * [simplify]: Extracting #4: cost 101 inf + 2652 104.636 * * [simplify]: Extracting #5: cost 31 inf + 28986 104.646 * * [simplify]: Extracting #6: cost 0 inf + 42309 104.656 * * [simplify]: Extracting #7: cost 0 inf + 42268 104.667 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 104.667 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.667 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 104.668 * * [simplify]: iters left: 6 (12 enodes) 104.672 * * [simplify]: iters left: 5 (44 enodes) 104.681 * * [simplify]: iters left: 4 (59 enodes) 104.698 * * [simplify]: iters left: 3 (91 enodes) 104.725 * * [simplify]: iters left: 2 (141 enodes) 104.783 * * [simplify]: iters left: 1 (224 enodes) 104.871 * * [simplify]: Extracting #0: cost 1 inf + 0 104.872 * * [simplify]: Extracting #1: cost 35 inf + 0 104.872 * * [simplify]: Extracting #2: cost 67 inf + 83 104.872 * * [simplify]: Extracting #3: cost 67 inf + 285 104.873 * * [simplify]: Extracting #4: cost 65 inf + 407 104.873 * * [simplify]: Extracting #5: cost 51 inf + 2992 104.875 * * [simplify]: Extracting #6: cost 10 inf + 15399 104.878 * * [simplify]: Extracting #7: cost 0 inf + 18741 104.883 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 104.883 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 104.883 * * * * [progress]: [ 288 / 614 ] simplifiying candidate # 104.883 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 104.883 * * [simplify]: iters left: 6 (15 enodes) 104.888 * * [simplify]: iters left: 5 (53 enodes) 104.896 * * [simplify]: iters left: 4 (68 enodes) 104.907 * * [simplify]: iters left: 3 (101 enodes) 104.924 * * [simplify]: iters left: 2 (152 enodes) 104.983 * * [simplify]: iters left: 1 (234 enodes) 105.034 * * [simplify]: Extracting #0: cost 1 inf + 0 105.034 * * [simplify]: Extracting #1: cost 34 inf + 0 105.034 * * [simplify]: Extracting #2: cost 73 inf + 1 105.035 * * [simplify]: Extracting #3: cost 71 inf + 166 105.036 * * [simplify]: Extracting #4: cost 58 inf + 1866 105.040 * * [simplify]: Extracting #5: cost 21 inf + 13333 105.051 * * [simplify]: Extracting #6: cost 0 inf + 21527 105.058 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 105.058 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.058 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 105.059 * * [simplify]: iters left: 6 (12 enodes) 105.063 * * [simplify]: iters left: 5 (44 enodes) 105.070 * * [simplify]: iters left: 4 (59 enodes) 105.080 * * [simplify]: iters left: 3 (91 enodes) 105.095 * * [simplify]: iters left: 2 (141 enodes) 105.135 * * [simplify]: iters left: 1 (224 enodes) 105.194 * * [simplify]: Extracting #0: cost 1 inf + 0 105.194 * * [simplify]: Extracting #1: cost 35 inf + 0 105.195 * * [simplify]: Extracting #2: cost 67 inf + 43 105.195 * * [simplify]: Extracting #3: cost 67 inf + 165 105.196 * * [simplify]: Extracting #4: cost 65 inf + 247 105.197 * * [simplify]: Extracting #5: cost 51 inf + 2672 105.201 * * [simplify]: Extracting #6: cost 10 inf + 14119 105.207 * * [simplify]: Extracting #7: cost 0 inf + 17181 105.214 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 105.214 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.214 * * * * [progress]: [ 289 / 614 ] simplifiying candidate # 105.215 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 105.215 * * [simplify]: iters left: 6 (13 enodes) 105.224 * * [simplify]: iters left: 5 (45 enodes) 105.231 * * [simplify]: iters left: 4 (52 enodes) 105.239 * * [simplify]: iters left: 3 (64 enodes) 105.253 * * [simplify]: iters left: 2 (75 enodes) 105.273 * * [simplify]: iters left: 1 (103 enodes) 105.303 * * [simplify]: Extracting #0: cost 1 inf + 0 105.303 * * [simplify]: Extracting #1: cost 14 inf + 0 105.303 * * [simplify]: Extracting #2: cost 27 inf + 1 105.304 * * [simplify]: Extracting #3: cost 28 inf + 63 105.304 * * [simplify]: Extracting #4: cost 21 inf + 831 105.304 * * [simplify]: Extracting #5: cost 9 inf + 3552 105.306 * * [simplify]: Extracting #6: cost 0 inf + 6487 105.309 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 105.309 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.309 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 105.309 * * [simplify]: iters left: 6 (11 enodes) 105.315 * * [simplify]: iters left: 5 (41 enodes) 105.327 * * [simplify]: iters left: 4 (56 enodes) 105.345 * * [simplify]: iters left: 3 (85 enodes) 105.368 * * [simplify]: iters left: 2 (116 enodes) 105.401 * * [simplify]: iters left: 1 (155 enodes) 105.431 * * [simplify]: Extracting #0: cost 1 inf + 0 105.431 * * [simplify]: Extracting #1: cost 30 inf + 0 105.431 * * [simplify]: Extracting #2: cost 51 inf + 2 105.431 * * [simplify]: Extracting #3: cost 51 inf + 84 105.432 * * [simplify]: Extracting #4: cost 50 inf + 85 105.432 * * [simplify]: Extracting #5: cost 36 inf + 2669 105.434 * * [simplify]: Extracting #6: cost 5 inf + 10455 105.436 * * [simplify]: Extracting #7: cost 0 inf + 11988 105.438 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1) 105.438 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.438 * * * * [progress]: [ 290 / 614 ] simplifiying candidate # 105.438 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 105.438 * * [simplify]: iters left: 6 (18 enodes) 105.448 * * [simplify]: iters left: 5 (65 enodes) 105.460 * * [simplify]: iters left: 4 (88 enodes) 105.478 * * [simplify]: iters left: 3 (146 enodes) 105.511 * * [simplify]: iters left: 2 (264 enodes) 105.593 * * [simplify]: iters left: 1 (442 enodes) 105.778 * * [simplify]: Extracting #0: cost 1 inf + 0 105.778 * * [simplify]: Extracting #1: cost 60 inf + 0 105.779 * * [simplify]: Extracting #2: cost 116 inf + 1 105.780 * * [simplify]: Extracting #3: cost 115 inf + 448 105.780 * * [simplify]: Extracting #4: cost 106 inf + 1924 105.785 * * [simplify]: Extracting #5: cost 46 inf + 22165 105.796 * * [simplify]: Extracting #6: cost 0 inf + 41643 105.804 * [simplify]: Simplified to (/ (/ (* (* (cos th) (cbrt a1)) (cbrt a1)) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) 105.804 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cos th) (cbrt a1)) (cbrt a1)) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.804 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 105.804 * * [simplify]: iters left: 6 (14 enodes) 105.809 * * [simplify]: iters left: 5 (50 enodes) 105.818 * * [simplify]: iters left: 4 (65 enodes) 105.832 * * [simplify]: iters left: 3 (97 enodes) 105.857 * * [simplify]: iters left: 2 (147 enodes) 105.902 * * [simplify]: iters left: 1 (225 enodes) 105.960 * * [simplify]: Extracting #0: cost 1 inf + 0 105.960 * * [simplify]: Extracting #1: cost 34 inf + 0 105.960 * * [simplify]: Extracting #2: cost 67 inf + 2 105.961 * * [simplify]: Extracting #3: cost 67 inf + 406 105.961 * * [simplify]: Extracting #4: cost 67 inf + 407 105.962 * * [simplify]: Extracting #5: cost 55 inf + 2427 105.964 * * [simplify]: Extracting #6: cost 14 inf + 15711 105.967 * * [simplify]: Extracting #7: cost 0 inf + 20500 105.971 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2))))) 105.971 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cos th) (cbrt a1)) (cbrt a1)) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 105.971 * * * * [progress]: [ 291 / 614 ] simplifiying candidate # 105.972 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 105.972 * * [simplify]: iters left: 6 (17 enodes) 105.977 * * [simplify]: iters left: 5 (60 enodes) 105.995 * * [simplify]: iters left: 4 (75 enodes) 106.018 * * [simplify]: iters left: 3 (107 enodes) 106.053 * * [simplify]: iters left: 2 (157 enodes) 106.117 * * [simplify]: iters left: 1 (239 enodes) 106.206 * * [simplify]: Extracting #0: cost 1 inf + 0 106.207 * * [simplify]: Extracting #1: cost 38 inf + 0 106.207 * * [simplify]: Extracting #2: cost 76 inf + 1 106.207 * * [simplify]: Extracting #3: cost 77 inf + 105 106.208 * * [simplify]: Extracting #4: cost 54 inf + 5731 106.211 * * [simplify]: Extracting #5: cost 7 inf + 21181 106.215 * * [simplify]: Extracting #6: cost 0 inf + 23680 106.219 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 106.219 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 106.219 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 106.220 * * [simplify]: iters left: 6 (14 enodes) 106.226 * * [simplify]: iters left: 5 (50 enodes) 106.242 * * [simplify]: iters left: 4 (65 enodes) 106.263 * * [simplify]: iters left: 3 (97 enodes) 106.294 * * [simplify]: iters left: 2 (147 enodes) 106.350 * * [simplify]: iters left: 1 (225 enodes) 106.409 * * [simplify]: Extracting #0: cost 1 inf + 0 106.409 * * [simplify]: Extracting #1: cost 34 inf + 0 106.409 * * [simplify]: Extracting #2: cost 67 inf + 2 106.410 * * [simplify]: Extracting #3: cost 67 inf + 246 106.410 * * [simplify]: Extracting #4: cost 67 inf + 247 106.411 * * [simplify]: Extracting #5: cost 55 inf + 2107 106.413 * * [simplify]: Extracting #6: cost 14 inf + 14431 106.416 * * [simplify]: Extracting #7: cost 0 inf + 18980 106.420 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2))))) 106.420 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) (* (/ (sqrt a1) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 106.420 * * * * [progress]: [ 292 / 614 ] simplifiying candidate # 106.421 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 106.421 * * [simplify]: iters left: 6 (15 enodes) 106.425 * * [simplify]: iters left: 5 (52 enodes) 106.434 * * [simplify]: iters left: 4 (59 enodes) 106.443 * * [simplify]: iters left: 3 (70 enodes) 106.462 * * [simplify]: iters left: 2 (80 enodes) 106.486 * * [simplify]: iters left: 1 (108 enodes) 106.524 * * [simplify]: Extracting #0: cost 1 inf + 0 106.524 * * [simplify]: Extracting #1: cost 14 inf + 0 106.524 * * [simplify]: Extracting #2: cost 27 inf + 1 106.525 * * [simplify]: Extracting #3: cost 30 inf + 63 106.525 * * [simplify]: Extracting #4: cost 20 inf + 1701 106.525 * * [simplify]: Extracting #5: cost 14 inf + 2387 106.526 * * [simplify]: Extracting #6: cost 0 inf + 6971 106.527 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) 106.527 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 106.528 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (cbrt 2))) a1)) 106.528 * * [simplify]: iters left: 6 (13 enodes) 106.531 * * [simplify]: iters left: 5 (47 enodes) 106.539 * * [simplify]: iters left: 4 (62 enodes) 106.550 * * [simplify]: iters left: 3 (91 enodes) 106.564 * * [simplify]: iters left: 2 (122 enodes) 106.586 * * [simplify]: iters left: 1 (160 enodes) 106.616 * * [simplify]: Extracting #0: cost 1 inf + 0 106.616 * * [simplify]: Extracting #1: cost 30 inf + 0 106.616 * * [simplify]: Extracting #2: cost 52 inf + 2 106.616 * * [simplify]: Extracting #3: cost 55 inf + 43 106.617 * * [simplify]: Extracting #4: cost 54 inf + 85 106.617 * * [simplify]: Extracting #5: cost 45 inf + 1259 106.618 * * [simplify]: Extracting #6: cost 19 inf + 7269 106.620 * * [simplify]: Extracting #7: cost 0 inf + 14072 106.623 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1)) 106.623 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 106.623 * * * * [progress]: [ 293 / 614 ] simplifiying candidate # 106.623 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 106.623 * * [simplify]: iters left: 6 (16 enodes) 106.630 * * [simplify]: iters left: 5 (58 enodes) 106.649 * * [simplify]: iters left: 4 (81 enodes) 106.679 * * [simplify]: iters left: 3 (139 enodes) 106.728 * * [simplify]: iters left: 2 (257 enodes) 106.830 * * [simplify]: iters left: 1 (423 enodes) 107.051 * * [simplify]: Extracting #0: cost 1 inf + 0 107.051 * * [simplify]: Extracting #1: cost 66 inf + 0 107.051 * * [simplify]: Extracting #2: cost 120 inf + 1 107.052 * * [simplify]: Extracting #3: cost 116 inf + 468 107.053 * * [simplify]: Extracting #4: cost 103 inf + 2872 107.056 * * [simplify]: Extracting #5: cost 34 inf + 25399 107.063 * * [simplify]: Extracting #6: cost 1 inf + 38489 107.077 * * [simplify]: Extracting #7: cost 0 inf + 38891 107.092 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) 107.092 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.092 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 107.093 * * [simplify]: iters left: 6 (13 enodes) 107.100 * * [simplify]: iters left: 5 (47 enodes) 107.115 * * [simplify]: iters left: 4 (62 enodes) 107.137 * * [simplify]: iters left: 3 (94 enodes) 107.155 * * [simplify]: iters left: 2 (144 enodes) 107.194 * * [simplify]: iters left: 1 (221 enodes) 107.277 * * [simplify]: Extracting #0: cost 1 inf + 0 107.278 * * [simplify]: Extracting #1: cost 35 inf + 0 107.278 * * [simplify]: Extracting #2: cost 68 inf + 2 107.278 * * [simplify]: Extracting #3: cost 67 inf + 406 107.278 * * [simplify]: Extracting #4: cost 66 inf + 407 107.279 * * [simplify]: Extracting #5: cost 54 inf + 2426 107.281 * * [simplify]: Extracting #6: cost 7 inf + 15926 107.284 * * [simplify]: Extracting #7: cost 0 inf + 18260 107.287 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 107.287 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.288 * * * * [progress]: [ 294 / 614 ] simplifiying candidate # 107.288 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 107.288 * * [simplify]: iters left: 6 (15 enodes) 107.294 * * [simplify]: iters left: 5 (53 enodes) 107.310 * * [simplify]: iters left: 4 (68 enodes) 107.323 * * [simplify]: iters left: 3 (100 enodes) 107.341 * * [simplify]: iters left: 2 (150 enodes) 107.400 * * [simplify]: iters left: 1 (227 enodes) 107.459 * * [simplify]: Extracting #0: cost 1 inf + 0 107.460 * * [simplify]: Extracting #1: cost 38 inf + 0 107.460 * * [simplify]: Extracting #2: cost 75 inf + 1 107.460 * * [simplify]: Extracting #3: cost 74 inf + 105 107.461 * * [simplify]: Extracting #4: cost 60 inf + 1827 107.462 * * [simplify]: Extracting #5: cost 23 inf + 13074 107.466 * * [simplify]: Extracting #6: cost 0 inf + 20173 107.469 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 107.470 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.470 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 107.470 * * [simplify]: iters left: 6 (13 enodes) 107.474 * * [simplify]: iters left: 5 (47 enodes) 107.481 * * [simplify]: iters left: 4 (62 enodes) 107.501 * * [simplify]: iters left: 3 (94 enodes) 107.528 * * [simplify]: iters left: 2 (144 enodes) 107.557 * * [simplify]: iters left: 1 (221 enodes) 107.652 * * [simplify]: Extracting #0: cost 1 inf + 0 107.652 * * [simplify]: Extracting #1: cost 35 inf + 0 107.652 * * [simplify]: Extracting #2: cost 68 inf + 2 107.653 * * [simplify]: Extracting #3: cost 67 inf + 246 107.653 * * [simplify]: Extracting #4: cost 66 inf + 247 107.654 * * [simplify]: Extracting #5: cost 54 inf + 2106 107.656 * * [simplify]: Extracting #6: cost 7 inf + 14526 107.659 * * [simplify]: Extracting #7: cost 0 inf + 16700 107.662 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 107.662 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.663 * * * * [progress]: [ 295 / 614 ] simplifiying candidate # 107.663 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 107.663 * * [simplify]: iters left: 6 (13 enodes) 107.668 * * [simplify]: iters left: 5 (45 enodes) 107.675 * * [simplify]: iters left: 4 (52 enodes) 107.683 * * [simplify]: iters left: 3 (63 enodes) 107.700 * * [simplify]: iters left: 2 (73 enodes) 107.726 * * [simplify]: iters left: 1 (101 enodes) 107.761 * * [simplify]: Extracting #0: cost 1 inf + 0 107.761 * * [simplify]: Extracting #1: cost 14 inf + 0 107.761 * * [simplify]: Extracting #2: cost 27 inf + 1 107.761 * * [simplify]: Extracting #3: cost 28 inf + 63 107.762 * * [simplify]: Extracting #4: cost 13 inf + 2465 107.764 * * [simplify]: Extracting #5: cost 0 inf + 5687 107.766 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) 107.766 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.766 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 107.766 * * [simplify]: iters left: 6 (12 enodes) 107.774 * * [simplify]: iters left: 5 (44 enodes) 107.788 * * [simplify]: iters left: 4 (59 enodes) 107.807 * * [simplify]: iters left: 3 (88 enodes) 107.834 * * [simplify]: iters left: 2 (119 enodes) 107.877 * * [simplify]: iters left: 1 (157 enodes) 107.934 * * [simplify]: Extracting #0: cost 1 inf + 0 107.934 * * [simplify]: Extracting #1: cost 30 inf + 0 107.934 * * [simplify]: Extracting #2: cost 51 inf + 43 107.935 * * [simplify]: Extracting #3: cost 53 inf + 84 107.935 * * [simplify]: Extracting #4: cost 52 inf + 85 107.936 * * [simplify]: Extracting #5: cost 43 inf + 1137 107.938 * * [simplify]: Extracting #6: cost 7 inf + 9855 107.943 * * [simplify]: Extracting #7: cost 0 inf + 11990 107.947 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2))))) 107.947 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 107.948 * * * * [progress]: [ 296 / 614 ] simplifiying candidate # 107.948 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 107.948 * * [simplify]: iters left: 6 (15 enodes) 107.958 * * [simplify]: iters left: 5 (55 enodes) 107.975 * * [simplify]: iters left: 4 (77 enodes) 108.004 * * [simplify]: iters left: 3 (140 enodes) 108.058 * * [simplify]: iters left: 2 (241 enodes) 108.173 * * [simplify]: iters left: 1 (396 enodes) 108.365 * * [simplify]: Extracting #0: cost 1 inf + 0 108.365 * * [simplify]: Extracting #1: cost 28 inf + 0 108.365 * * [simplify]: Extracting #2: cost 52 inf + 1 108.366 * * [simplify]: Extracting #3: cost 45 inf + 833 108.368 * * [simplify]: Extracting #4: cost 23 inf + 4719 108.371 * * [simplify]: Extracting #5: cost 2 inf + 10830 108.374 * * [simplify]: Extracting #6: cost 0 inf + 11455 108.377 * [simplify]: Simplified to (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) 108.377 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.378 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 108.378 * * [simplify]: iters left: 6 (11 enodes) 108.381 * * [simplify]: iters left: 5 (41 enodes) 108.390 * * [simplify]: iters left: 4 (59 enodes) 108.402 * * [simplify]: iters left: 3 (87 enodes) 108.427 * * [simplify]: iters left: 2 (117 enodes) 108.460 * * [simplify]: iters left: 1 (157 enodes) 108.490 * * [simplify]: Extracting #0: cost 1 inf + 0 108.490 * * [simplify]: Extracting #1: cost 29 inf + 0 108.490 * * [simplify]: Extracting #2: cost 52 inf + 83 108.490 * * [simplify]: Extracting #3: cost 51 inf + 406 108.491 * * [simplify]: Extracting #4: cost 50 inf + 407 108.491 * * [simplify]: Extracting #5: cost 45 inf + 1094 108.492 * * [simplify]: Extracting #6: cost 9 inf + 9732 108.494 * * [simplify]: Extracting #7: cost 0 inf + 12033 108.496 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 108.496 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.496 * * * * [progress]: [ 297 / 614 ] simplifiying candidate # 108.496 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) (sqrt a1))) 108.497 * * [simplify]: iters left: 6 (14 enodes) 108.502 * * [simplify]: iters left: 5 (50 enodes) 108.510 * * [simplify]: iters left: 4 (61 enodes) 108.529 * * [simplify]: iters left: 3 (83 enodes) 108.553 * * [simplify]: iters left: 2 (116 enodes) 108.594 * * [simplify]: iters left: 1 (154 enodes) 108.637 * * [simplify]: Extracting #0: cost 1 inf + 0 108.637 * * [simplify]: Extracting #1: cost 18 inf + 0 108.637 * * [simplify]: Extracting #2: cost 33 inf + 1 108.637 * * [simplify]: Extracting #3: cost 28 inf + 310 108.638 * * [simplify]: Extracting #4: cost 12 inf + 3023 108.639 * * [simplify]: Extracting #5: cost 1 inf + 5287 108.641 * * [simplify]: Extracting #6: cost 0 inf + 5590 108.642 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) 108.642 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.642 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 108.642 * * [simplify]: iters left: 6 (11 enodes) 108.645 * * [simplify]: iters left: 5 (41 enodes) 108.652 * * [simplify]: iters left: 4 (59 enodes) 108.662 * * [simplify]: iters left: 3 (87 enodes) 108.681 * * [simplify]: iters left: 2 (117 enodes) 108.720 * * [simplify]: iters left: 1 (157 enodes) 108.763 * * [simplify]: Extracting #0: cost 1 inf + 0 108.763 * * [simplify]: Extracting #1: cost 29 inf + 0 108.763 * * [simplify]: Extracting #2: cost 52 inf + 43 108.763 * * [simplify]: Extracting #3: cost 51 inf + 246 108.763 * * [simplify]: Extracting #4: cost 50 inf + 247 108.764 * * [simplify]: Extracting #5: cost 45 inf + 854 108.765 * * [simplify]: Extracting #6: cost 9 inf + 8732 108.767 * * [simplify]: Extracting #7: cost 0 inf + 10833 108.769 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 108.769 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.769 * * * * [progress]: [ 298 / 614 ] simplifiying candidate # 108.769 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 1)) 1)) 108.770 * * [simplify]: iters left: 6 (12 enodes) 108.775 * * [simplify]: iters left: 5 (42 enodes) 108.785 * * [simplify]: iters left: 4 (44 enodes) 108.791 * * [simplify]: iters left: 3 (50 enodes) 108.798 * * [simplify]: iters left: 2 (61 enodes) 108.806 * * [simplify]: iters left: 1 (66 enodes) 108.820 * * [simplify]: Extracting #0: cost 1 inf + 0 108.820 * * [simplify]: Extracting #1: cost 7 inf + 0 108.820 * * [simplify]: Extracting #2: cost 13 inf + 1 108.820 * * [simplify]: Extracting #3: cost 11 inf + 226 108.820 * * [simplify]: Extracting #4: cost 5 inf + 713 108.821 * * [simplify]: Extracting #5: cost 1 inf + 1623 108.822 * * [simplify]: Extracting #6: cost 0 inf + 1845 108.822 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 108.823 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.823 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1)) 108.823 * * [simplify]: iters left: 6 (10 enodes) 108.830 * * [simplify]: iters left: 5 (38 enodes) 108.843 * * [simplify]: iters left: 4 (56 enodes) 108.861 * * [simplify]: iters left: 3 (82 enodes) 108.883 * * [simplify]: iters left: 2 (94 enodes) 108.912 * * [simplify]: iters left: 1 (109 enodes) 108.945 * * [simplify]: Extracting #0: cost 1 inf + 0 108.945 * * [simplify]: Extracting #1: cost 17 inf + 0 108.945 * * [simplify]: Extracting #2: cost 30 inf + 2 108.946 * * [simplify]: Extracting #3: cost 31 inf + 43 108.946 * * [simplify]: Extracting #4: cost 29 inf + 85 108.947 * * [simplify]: Extracting #5: cost 9 inf + 3441 108.949 * * [simplify]: Extracting #6: cost 1 inf + 5099 108.951 * * [simplify]: Extracting #7: cost 0 inf + 5302 108.953 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 108.953 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 108.954 * * * * [progress]: [ 299 / 614 ] simplifiying candidate # 108.954 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 108.954 * * [simplify]: iters left: 6 (16 enodes) 108.961 * * [simplify]: iters left: 5 (58 enodes) 108.971 * * [simplify]: iters left: 4 (81 enodes) 108.990 * * [simplify]: iters left: 3 (139 enodes) 109.023 * * [simplify]: iters left: 2 (257 enodes) 109.110 * * [simplify]: iters left: 1 (423 enodes) 109.288 * * [simplify]: Extracting #0: cost 1 inf + 0 109.288 * * [simplify]: Extracting #1: cost 66 inf + 0 109.289 * * [simplify]: Extracting #2: cost 120 inf + 1 109.292 * * [simplify]: Extracting #3: cost 116 inf + 468 109.293 * * [simplify]: Extracting #4: cost 103 inf + 2872 109.299 * * [simplify]: Extracting #5: cost 34 inf + 25399 109.313 * * [simplify]: Extracting #6: cost 1 inf + 38489 109.329 * * [simplify]: Extracting #7: cost 0 inf + 38891 109.344 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) 109.344 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 109.344 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 109.345 * * [simplify]: iters left: 6 (13 enodes) 109.352 * * [simplify]: iters left: 5 (47 enodes) 109.367 * * [simplify]: iters left: 4 (62 enodes) 109.386 * * [simplify]: iters left: 3 (94 enodes) 109.416 * * [simplify]: iters left: 2 (144 enodes) 109.473 * * [simplify]: iters left: 1 (221 enodes) 109.572 * * [simplify]: Extracting #0: cost 1 inf + 0 109.573 * * [simplify]: Extracting #1: cost 35 inf + 0 109.573 * * [simplify]: Extracting #2: cost 68 inf + 2 109.574 * * [simplify]: Extracting #3: cost 67 inf + 406 109.574 * * [simplify]: Extracting #4: cost 66 inf + 407 109.575 * * [simplify]: Extracting #5: cost 54 inf + 2426 109.580 * * [simplify]: Extracting #6: cost 7 inf + 15926 109.586 * * [simplify]: Extracting #7: cost 0 inf + 18260 109.593 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1))) 109.593 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 109.593 * * * * [progress]: [ 300 / 614 ] simplifiying candidate # 109.594 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 109.594 * * [simplify]: iters left: 6 (15 enodes) 109.602 * * [simplify]: iters left: 5 (53 enodes) 109.618 * * [simplify]: iters left: 4 (68 enodes) 109.635 * * [simplify]: iters left: 3 (100 enodes) 109.650 * * [simplify]: iters left: 2 (150 enodes) 109.689 * * [simplify]: iters left: 1 (227 enodes) 109.749 * * [simplify]: Extracting #0: cost 1 inf + 0 109.749 * * [simplify]: Extracting #1: cost 38 inf + 0 109.750 * * [simplify]: Extracting #2: cost 75 inf + 1 109.750 * * [simplify]: Extracting #3: cost 74 inf + 105 109.751 * * [simplify]: Extracting #4: cost 60 inf + 1827 109.752 * * [simplify]: Extracting #5: cost 23 inf + 13074 109.756 * * [simplify]: Extracting #6: cost 0 inf + 20173 109.759 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 109.759 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 109.760 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 109.760 * * [simplify]: iters left: 6 (13 enodes) 109.763 * * [simplify]: iters left: 5 (47 enodes) 109.772 * * [simplify]: iters left: 4 (62 enodes) 109.792 * * [simplify]: iters left: 3 (94 enodes) 109.817 * * [simplify]: iters left: 2 (144 enodes) 109.869 * * [simplify]: iters left: 1 (221 enodes) 109.968 * * [simplify]: Extracting #0: cost 1 inf + 0 109.968 * * [simplify]: Extracting #1: cost 35 inf + 0 109.969 * * [simplify]: Extracting #2: cost 68 inf + 2 109.970 * * [simplify]: Extracting #3: cost 67 inf + 246 109.970 * * [simplify]: Extracting #4: cost 66 inf + 247 109.971 * * [simplify]: Extracting #5: cost 54 inf + 2106 109.976 * * [simplify]: Extracting #6: cost 7 inf + 14526 109.982 * * [simplify]: Extracting #7: cost 0 inf + 16700 109.989 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1))) 109.989 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 109.989 * * * * [progress]: [ 301 / 614 ] simplifiying candidate # 109.990 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) 1)) 109.990 * * [simplify]: iters left: 6 (13 enodes) 109.998 * * [simplify]: iters left: 5 (45 enodes) 110.010 * * [simplify]: iters left: 4 (52 enodes) 110.024 * * [simplify]: iters left: 3 (63 enodes) 110.041 * * [simplify]: iters left: 2 (73 enodes) 110.057 * * [simplify]: iters left: 1 (101 enodes) 110.075 * * [simplify]: Extracting #0: cost 1 inf + 0 110.075 * * [simplify]: Extracting #1: cost 14 inf + 0 110.075 * * [simplify]: Extracting #2: cost 27 inf + 1 110.075 * * [simplify]: Extracting #3: cost 28 inf + 63 110.075 * * [simplify]: Extracting #4: cost 13 inf + 2465 110.076 * * [simplify]: Extracting #5: cost 0 inf + 5687 110.080 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) 110.080 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.081 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt (sqrt 2))) a1)) 110.081 * * [simplify]: iters left: 6 (12 enodes) 110.086 * * [simplify]: iters left: 5 (44 enodes) 110.093 * * [simplify]: iters left: 4 (59 enodes) 110.103 * * [simplify]: iters left: 3 (88 enodes) 110.118 * * [simplify]: iters left: 2 (119 enodes) 110.139 * * [simplify]: iters left: 1 (157 enodes) 110.192 * * [simplify]: Extracting #0: cost 1 inf + 0 110.192 * * [simplify]: Extracting #1: cost 30 inf + 0 110.193 * * [simplify]: Extracting #2: cost 51 inf + 43 110.193 * * [simplify]: Extracting #3: cost 53 inf + 84 110.193 * * [simplify]: Extracting #4: cost 52 inf + 85 110.194 * * [simplify]: Extracting #5: cost 43 inf + 1137 110.196 * * [simplify]: Extracting #6: cost 7 inf + 9855 110.201 * * [simplify]: Extracting #7: cost 0 inf + 11990 110.205 * [simplify]: Simplified to (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2))))) 110.205 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.205 * * * * [progress]: [ 302 / 614 ] simplifiying candidate # 110.206 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 110.206 * * [simplify]: iters left: 6 (15 enodes) 110.215 * * [simplify]: iters left: 5 (55 enodes) 110.224 * * [simplify]: iters left: 4 (77 enodes) 110.236 * * [simplify]: iters left: 3 (140 enodes) 110.280 * * [simplify]: iters left: 2 (241 enodes) 110.400 * * [simplify]: iters left: 1 (396 enodes) 110.549 * * [simplify]: Extracting #0: cost 1 inf + 0 110.549 * * [simplify]: Extracting #1: cost 28 inf + 0 110.550 * * [simplify]: Extracting #2: cost 52 inf + 1 110.550 * * [simplify]: Extracting #3: cost 45 inf + 833 110.552 * * [simplify]: Extracting #4: cost 23 inf + 4719 110.557 * * [simplify]: Extracting #5: cost 2 inf + 10830 110.563 * * [simplify]: Extracting #6: cost 0 inf + 11455 110.568 * [simplify]: Simplified to (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) 110.568 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.569 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 110.569 * * [simplify]: iters left: 6 (11 enodes) 110.576 * * [simplify]: iters left: 5 (41 enodes) 110.584 * * [simplify]: iters left: 4 (59 enodes) 110.594 * * [simplify]: iters left: 3 (87 enodes) 110.608 * * [simplify]: iters left: 2 (117 enodes) 110.644 * * [simplify]: iters left: 1 (157 enodes) 110.673 * * [simplify]: Extracting #0: cost 1 inf + 0 110.673 * * [simplify]: Extracting #1: cost 29 inf + 0 110.674 * * [simplify]: Extracting #2: cost 52 inf + 83 110.674 * * [simplify]: Extracting #3: cost 51 inf + 406 110.675 * * [simplify]: Extracting #4: cost 50 inf + 407 110.675 * * [simplify]: Extracting #5: cost 45 inf + 1094 110.677 * * [simplify]: Extracting #6: cost 9 inf + 9732 110.681 * * [simplify]: Extracting #7: cost 0 inf + 12033 110.685 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 110.686 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (/ (/ (cbrt (sqrt 2)) (cos th)) (cbrt a1))) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.686 * * * * [progress]: [ 303 / 614 ] simplifiying candidate # 110.686 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) (sqrt a1))) 110.686 * * [simplify]: iters left: 6 (14 enodes) 110.696 * * [simplify]: iters left: 5 (50 enodes) 110.712 * * [simplify]: iters left: 4 (61 enodes) 110.722 * * [simplify]: iters left: 3 (83 enodes) 110.734 * * [simplify]: iters left: 2 (116 enodes) 110.768 * * [simplify]: iters left: 1 (154 enodes) 110.835 * * [simplify]: Extracting #0: cost 1 inf + 0 110.835 * * [simplify]: Extracting #1: cost 18 inf + 0 110.835 * * [simplify]: Extracting #2: cost 33 inf + 1 110.835 * * [simplify]: Extracting #3: cost 28 inf + 310 110.836 * * [simplify]: Extracting #4: cost 12 inf + 3023 110.839 * * [simplify]: Extracting #5: cost 1 inf + 5287 110.842 * * [simplify]: Extracting #6: cost 0 inf + 5590 110.844 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) 110.844 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.845 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 110.845 * * [simplify]: iters left: 6 (11 enodes) 110.851 * * [simplify]: iters left: 5 (41 enodes) 110.859 * * [simplify]: iters left: 4 (59 enodes) 110.869 * * [simplify]: iters left: 3 (87 enodes) 110.883 * * [simplify]: iters left: 2 (117 enodes) 110.903 * * [simplify]: iters left: 1 (157 enodes) 110.947 * * [simplify]: Extracting #0: cost 1 inf + 0 110.948 * * [simplify]: Extracting #1: cost 29 inf + 0 110.948 * * [simplify]: Extracting #2: cost 52 inf + 43 110.948 * * [simplify]: Extracting #3: cost 51 inf + 246 110.949 * * [simplify]: Extracting #4: cost 50 inf + 247 110.949 * * [simplify]: Extracting #5: cost 45 inf + 854 110.952 * * [simplify]: Extracting #6: cost 9 inf + 8732 110.956 * * [simplify]: Extracting #7: cost 0 inf + 10833 110.960 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 110.960 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt a1))) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 110.960 * * * * [progress]: [ 304 / 614 ] simplifiying candidate # 110.961 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt 1) 1)) 110.961 * * [simplify]: iters left: 6 (12 enodes) 110.971 * * [simplify]: iters left: 5 (42 enodes) 110.984 * * [simplify]: iters left: 4 (44 enodes) 110.995 * * [simplify]: iters left: 3 (50 enodes) 111.007 * * [simplify]: iters left: 2 (61 enodes) 111.023 * * [simplify]: iters left: 1 (66 enodes) 111.042 * * [simplify]: Extracting #0: cost 1 inf + 0 111.043 * * [simplify]: Extracting #1: cost 7 inf + 0 111.043 * * [simplify]: Extracting #2: cost 13 inf + 1 111.043 * * [simplify]: Extracting #3: cost 11 inf + 226 111.043 * * [simplify]: Extracting #4: cost 5 inf + 713 111.044 * * [simplify]: Extracting #5: cost 1 inf + 1623 111.045 * * [simplify]: Extracting #6: cost 0 inf + 1845 111.045 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 111.045 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 111.046 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1)) 111.046 * * [simplify]: iters left: 6 (10 enodes) 111.053 * * [simplify]: iters left: 5 (38 enodes) 111.066 * * [simplify]: iters left: 4 (56 enodes) 111.085 * * [simplify]: iters left: 3 (82 enodes) 111.107 * * [simplify]: iters left: 2 (94 enodes) 111.134 * * [simplify]: iters left: 1 (109 enodes) 111.152 * * [simplify]: Extracting #0: cost 1 inf + 0 111.152 * * [simplify]: Extracting #1: cost 17 inf + 0 111.152 * * [simplify]: Extracting #2: cost 30 inf + 2 111.152 * * [simplify]: Extracting #3: cost 31 inf + 43 111.153 * * [simplify]: Extracting #4: cost 29 inf + 85 111.153 * * [simplify]: Extracting #5: cost 9 inf + 3441 111.154 * * [simplify]: Extracting #6: cost 1 inf + 5099 111.155 * * [simplify]: Extracting #7: cost 0 inf + 5302 111.157 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 111.157 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 111.157 * * * * [progress]: [ 305 / 614 ] simplifiying candidate # 111.157 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 111.157 * * [simplify]: iters left: 6 (16 enodes) 111.165 * * [simplify]: iters left: 5 (62 enodes) 111.186 * * [simplify]: iters left: 4 (111 enodes) 111.229 * * [simplify]: iters left: 3 (260 enodes) 111.346 * * [simplify]: Extracting #0: cost 1 inf + 0 111.346 * * [simplify]: Extracting #1: cost 65 inf + 0 111.347 * * [simplify]: Extracting #2: cost 145 inf + 1 111.348 * * [simplify]: Extracting #3: cost 139 inf + 954 111.348 * * [simplify]: Extracting #4: cost 124 inf + 3318 111.353 * * [simplify]: Extracting #5: cost 35 inf + 35362 111.362 * * [simplify]: Extracting #6: cost 0 inf + 49556 111.373 * * [simplify]: Extracting #7: cost 0 inf + 49316 111.382 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) 111.382 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 111.382 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 111.382 * * [simplify]: iters left: 6 (12 enodes) 111.386 * * [simplify]: iters left: 5 (44 enodes) 111.394 * * [simplify]: iters left: 4 (59 enodes) 111.403 * * [simplify]: iters left: 3 (91 enodes) 111.419 * * [simplify]: iters left: 2 (141 enodes) 111.462 * * [simplify]: iters left: 1 (224 enodes) 111.528 * * [simplify]: Extracting #0: cost 1 inf + 0 111.528 * * [simplify]: Extracting #1: cost 35 inf + 0 111.528 * * [simplify]: Extracting #2: cost 67 inf + 83 111.529 * * [simplify]: Extracting #3: cost 67 inf + 285 111.530 * * [simplify]: Extracting #4: cost 65 inf + 407 111.531 * * [simplify]: Extracting #5: cost 51 inf + 2992 111.535 * * [simplify]: Extracting #6: cost 10 inf + 15399 111.543 * * [simplify]: Extracting #7: cost 0 inf + 18741 111.549 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 111.550 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 111.550 * * * * [progress]: [ 306 / 614 ] simplifiying candidate # 111.550 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 111.550 * * [simplify]: iters left: 6 (15 enodes) 111.555 * * [simplify]: iters left: 5 (55 enodes) 111.565 * * [simplify]: iters left: 4 (81 enodes) 111.579 * * [simplify]: iters left: 3 (161 enodes) 111.650 * * [simplify]: iters left: 2 (327 enodes) 111.840 * * [simplify]: Extracting #0: cost 1 inf + 0 111.840 * * [simplify]: Extracting #1: cost 55 inf + 0 111.841 * * [simplify]: Extracting #2: cost 101 inf + 1 111.842 * * [simplify]: Extracting #3: cost 97 inf + 207 111.843 * * [simplify]: Extracting #4: cost 90 inf + 1077 111.849 * * [simplify]: Extracting #5: cost 26 inf + 21304 111.861 * * [simplify]: Extracting #6: cost 0 inf + 30506 111.874 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 111.874 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 111.875 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 111.875 * * [simplify]: iters left: 6 (12 enodes) 111.883 * * [simplify]: iters left: 5 (44 enodes) 111.897 * * [simplify]: iters left: 4 (59 enodes) 111.916 * * [simplify]: iters left: 3 (91 enodes) 111.944 * * [simplify]: iters left: 2 (141 enodes) 111.976 * * [simplify]: iters left: 1 (224 enodes) 112.067 * * [simplify]: Extracting #0: cost 1 inf + 0 112.068 * * [simplify]: Extracting #1: cost 35 inf + 0 112.068 * * [simplify]: Extracting #2: cost 67 inf + 43 112.069 * * [simplify]: Extracting #3: cost 67 inf + 165 112.069 * * [simplify]: Extracting #4: cost 65 inf + 247 112.070 * * [simplify]: Extracting #5: cost 51 inf + 2672 112.075 * * [simplify]: Extracting #6: cost 10 inf + 14119 112.081 * * [simplify]: Extracting #7: cost 0 inf + 17181 112.088 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 112.088 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ a1 (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 112.088 * * * * [progress]: [ 307 / 614 ] simplifiying candidate # 112.088 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 112.089 * * [simplify]: iters left: 6 (13 enodes) 112.097 * * [simplify]: iters left: 5 (47 enodes) 112.114 * * [simplify]: iters left: 4 (74 enodes) 112.128 * * [simplify]: iters left: 3 (125 enodes) 112.153 * * [simplify]: iters left: 2 (168 enodes) 112.214 * * [simplify]: iters left: 1 (226 enodes) 112.288 * * [simplify]: Extracting #0: cost 1 inf + 0 112.288 * * [simplify]: Extracting #1: cost 24 inf + 0 112.288 * * [simplify]: Extracting #2: cost 44 inf + 1 112.288 * * [simplify]: Extracting #3: cost 44 inf + 63 112.289 * * [simplify]: Extracting #4: cost 37 inf + 751 112.290 * * [simplify]: Extracting #5: cost 10 inf + 8258 112.292 * * [simplify]: Extracting #6: cost 0 inf + 11397 112.295 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 112.295 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 112.295 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 112.296 * * [simplify]: iters left: 6 (11 enodes) 112.300 * * [simplify]: iters left: 5 (41 enodes) 112.310 * * [simplify]: iters left: 4 (56 enodes) 112.319 * * [simplify]: iters left: 3 (85 enodes) 112.332 * * [simplify]: iters left: 2 (116 enodes) 112.369 * * [simplify]: iters left: 1 (155 enodes) 112.421 * * [simplify]: Extracting #0: cost 1 inf + 0 112.421 * * [simplify]: Extracting #1: cost 30 inf + 0 112.421 * * [simplify]: Extracting #2: cost 51 inf + 2 112.421 * * [simplify]: Extracting #3: cost 51 inf + 84 112.422 * * [simplify]: Extracting #4: cost 50 inf + 85 112.422 * * [simplify]: Extracting #5: cost 36 inf + 2669 112.424 * * [simplify]: Extracting #6: cost 5 inf + 10455 112.426 * * [simplify]: Extracting #7: cost 0 inf + 11988 112.428 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1) 112.428 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 112.428 * * * * [progress]: [ 308 / 614 ] simplifiying candidate # 112.428 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 112.428 * * [simplify]: iters left: 6 (15 enodes) 112.433 * * [simplify]: iters left: 5 (55 enodes) 112.442 * * [simplify]: iters left: 4 (78 enodes) 112.467 * * [simplify]: iters left: 3 (136 enodes) 112.500 * * [simplify]: iters left: 2 (255 enodes) 112.627 * * [simplify]: iters left: 1 (439 enodes) 112.823 * * [simplify]: Extracting #0: cost 1 inf + 0 112.823 * * [simplify]: Extracting #1: cost 58 inf + 0 112.823 * * [simplify]: Extracting #2: cost 118 inf + 1 112.824 * * [simplify]: Extracting #3: cost 112 inf + 650 112.824 * * [simplify]: Extracting #4: cost 104 inf + 1661 112.828 * * [simplify]: Extracting #5: cost 29 inf + 26006 112.835 * * [simplify]: Extracting #6: cost 0 inf + 36506 112.843 * [simplify]: Simplified to (/ (cbrt a1) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (sqrt (cbrt (sqrt 2))) (cos th)))) 112.843 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt a1) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (sqrt (cbrt (sqrt 2))) (cos th)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 112.843 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 112.843 * * [simplify]: iters left: 6 (12 enodes) 112.849 * * [simplify]: iters left: 5 (44 enodes) 112.863 * * [simplify]: iters left: 4 (59 enodes) 112.882 * * [simplify]: iters left: 3 (91 enodes) 112.915 * * [simplify]: iters left: 2 (141 enodes) 112.953 * * [simplify]: iters left: 1 (224 enodes) 113.010 * * [simplify]: Extracting #0: cost 1 inf + 0 113.010 * * [simplify]: Extracting #1: cost 35 inf + 0 113.011 * * [simplify]: Extracting #2: cost 67 inf + 83 113.011 * * [simplify]: Extracting #3: cost 67 inf + 285 113.012 * * [simplify]: Extracting #4: cost 65 inf + 407 113.013 * * [simplify]: Extracting #5: cost 51 inf + 2912 113.017 * * [simplify]: Extracting #6: cost 10 inf + 13999 113.024 * * [simplify]: Extracting #7: cost 0 inf + 17021 113.031 * [simplify]: Simplified to (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 113.031 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.031 * * * * [progress]: [ 309 / 614 ] simplifiying candidate # 113.032 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 113.032 * * [simplify]: iters left: 6 (14 enodes) 113.039 * * [simplify]: iters left: 5 (50 enodes) 113.047 * * [simplify]: iters left: 4 (65 enodes) 113.058 * * [simplify]: iters left: 3 (97 enodes) 113.078 * * [simplify]: iters left: 2 (147 enodes) 113.123 * * [simplify]: iters left: 1 (224 enodes) 113.196 * * [simplify]: Extracting #0: cost 1 inf + 0 113.197 * * [simplify]: Extracting #1: cost 37 inf + 0 113.197 * * [simplify]: Extracting #2: cost 73 inf + 1 113.197 * * [simplify]: Extracting #3: cost 70 inf + 146 113.198 * * [simplify]: Extracting #4: cost 58 inf + 1604 113.200 * * [simplify]: Extracting #5: cost 11 inf + 14621 113.203 * * [simplify]: Extracting #6: cost 0 inf + 18028 113.206 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 113.206 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.207 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 113.207 * * [simplify]: iters left: 6 (12 enodes) 113.212 * * [simplify]: iters left: 5 (44 enodes) 113.226 * * [simplify]: iters left: 4 (59 enodes) 113.244 * * [simplify]: iters left: 3 (91 enodes) 113.276 * * [simplify]: iters left: 2 (141 enodes) 113.330 * * [simplify]: iters left: 1 (224 enodes) 113.392 * * [simplify]: Extracting #0: cost 1 inf + 0 113.392 * * [simplify]: Extracting #1: cost 35 inf + 0 113.393 * * [simplify]: Extracting #2: cost 67 inf + 43 113.393 * * [simplify]: Extracting #3: cost 67 inf + 165 113.393 * * [simplify]: Extracting #4: cost 65 inf + 247 113.394 * * [simplify]: Extracting #5: cost 51 inf + 2592 113.396 * * [simplify]: Extracting #6: cost 10 inf + 12719 113.399 * * [simplify]: Extracting #7: cost 0 inf + 15461 113.402 * [simplify]: Simplified to (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2))))) 113.402 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ a1 (/ (sqrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.402 * * * * [progress]: [ 310 / 614 ] simplifiying candidate # 113.403 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) 1)) 113.403 * * [simplify]: iters left: 6 (12 enodes) 113.407 * * [simplify]: iters left: 5 (42 enodes) 113.414 * * [simplify]: iters left: 4 (49 enodes) 113.425 * * [simplify]: iters left: 3 (60 enodes) 113.439 * * [simplify]: iters left: 2 (70 enodes) 113.449 * * [simplify]: iters left: 1 (98 enodes) 113.469 * * [simplify]: Extracting #0: cost 1 inf + 0 113.469 * * [simplify]: Extracting #1: cost 14 inf + 0 113.469 * * [simplify]: Extracting #2: cost 26 inf + 1 113.469 * * [simplify]: Extracting #3: cost 25 inf + 124 113.470 * * [simplify]: Extracting #4: cost 17 inf + 1055 113.471 * * [simplify]: Extracting #5: cost 5 inf + 3776 113.473 * * [simplify]: Extracting #6: cost 0 inf + 5045 113.475 * [simplify]: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 113.475 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.476 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (sqrt (cbrt (sqrt 2))) a1)) 113.476 * * [simplify]: iters left: 6 (11 enodes) 113.482 * * [simplify]: iters left: 5 (41 enodes) 113.494 * * [simplify]: iters left: 4 (56 enodes) 113.512 * * [simplify]: iters left: 3 (85 enodes) 113.527 * * [simplify]: iters left: 2 (116 enodes) 113.547 * * [simplify]: iters left: 1 (155 enodes) 113.593 * * [simplify]: Extracting #0: cost 1 inf + 0 113.593 * * [simplify]: Extracting #1: cost 30 inf + 0 113.593 * * [simplify]: Extracting #2: cost 51 inf + 2 113.593 * * [simplify]: Extracting #3: cost 51 inf + 84 113.594 * * [simplify]: Extracting #4: cost 50 inf + 85 113.594 * * [simplify]: Extracting #5: cost 36 inf + 2429 113.595 * * [simplify]: Extracting #6: cost 5 inf + 9375 113.597 * * [simplify]: Extracting #7: cost 0 inf + 10708 113.600 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a1) 113.600 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.600 * * * * [progress]: [ 311 / 614 ] simplifiying candidate # 113.600 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 113.600 * * [simplify]: iters left: 6 (14 enodes) 113.604 * * [simplify]: iters left: 5 (52 enodes) 113.613 * * [simplify]: iters left: 4 (71 enodes) 113.628 * * [simplify]: iters left: 3 (120 enodes) 113.675 * * [simplify]: iters left: 2 (210 enodes) 113.803 * * [simplify]: iters left: 1 (320 enodes) 113.983 * * [simplify]: Extracting #0: cost 1 inf + 0 113.983 * * [simplify]: Extracting #1: cost 26 inf + 0 113.984 * * [simplify]: Extracting #2: cost 50 inf + 1 113.984 * * [simplify]: Extracting #3: cost 49 inf + 64 113.986 * * [simplify]: Extracting #4: cost 25 inf + 3585 113.988 * * [simplify]: Extracting #5: cost 3 inf + 9559 113.991 * * [simplify]: Extracting #6: cost 0 inf + 10567 113.994 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt 2)) (cos th))) 113.994 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt 2)) (cos th))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 113.994 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (cbrt a1))) 113.994 * * [simplify]: iters left: 6 (11 enodes) 113.998 * * [simplify]: iters left: 5 (41 enodes) 114.004 * * [simplify]: iters left: 4 (59 enodes) 114.014 * * [simplify]: iters left: 3 (87 enodes) 114.030 * * [simplify]: iters left: 2 (117 enodes) 114.073 * * [simplify]: iters left: 1 (157 enodes) 114.104 * * [simplify]: Extracting #0: cost 1 inf + 0 114.104 * * [simplify]: Extracting #1: cost 29 inf + 0 114.104 * * [simplify]: Extracting #2: cost 52 inf + 83 114.105 * * [simplify]: Extracting #3: cost 51 inf + 406 114.105 * * [simplify]: Extracting #4: cost 50 inf + 407 114.105 * * [simplify]: Extracting #5: cost 45 inf + 1094 114.106 * * [simplify]: Extracting #6: cost 9 inf + 9732 114.108 * * [simplify]: Extracting #7: cost 0 inf + 12033 114.112 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 114.112 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt a1)) (/ (cbrt (sqrt 2)) (cos th))) (/ (* a1 (cbrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.112 * * * * [progress]: [ 312 / 614 ] simplifiying candidate # 114.112 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 (sqrt a1))) 114.113 * * [simplify]: iters left: 6 (13 enodes) 114.121 * * [simplify]: iters left: 5 (47 enodes) 114.136 * * [simplify]: iters left: 4 (58 enodes) 114.154 * * [simplify]: iters left: 3 (79 enodes) 114.181 * * [simplify]: iters left: 2 (113 enodes) 114.216 * * [simplify]: iters left: 1 (165 enodes) 114.267 * * [simplify]: Extracting #0: cost 1 inf + 0 114.268 * * [simplify]: Extracting #1: cost 16 inf + 0 114.268 * * [simplify]: Extracting #2: cost 31 inf + 1 114.268 * * [simplify]: Extracting #3: cost 30 inf + 64 114.269 * * [simplify]: Extracting #4: cost 19 inf + 840 114.270 * * [simplify]: Extracting #5: cost 10 inf + 2579 114.273 * * [simplify]: Extracting #6: cost 0 inf + 4782 114.276 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) 114.276 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.276 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) (sqrt a1))) 114.277 * * [simplify]: iters left: 6 (11 enodes) 114.283 * * [simplify]: iters left: 5 (41 enodes) 114.297 * * [simplify]: iters left: 4 (59 enodes) 114.316 * * [simplify]: iters left: 3 (87 enodes) 114.332 * * [simplify]: iters left: 2 (117 enodes) 114.354 * * [simplify]: iters left: 1 (157 enodes) 114.413 * * [simplify]: Extracting #0: cost 1 inf + 0 114.413 * * [simplify]: Extracting #1: cost 29 inf + 0 114.413 * * [simplify]: Extracting #2: cost 52 inf + 43 114.414 * * [simplify]: Extracting #3: cost 51 inf + 246 114.414 * * [simplify]: Extracting #4: cost 50 inf + 247 114.415 * * [simplify]: Extracting #5: cost 45 inf + 854 114.417 * * [simplify]: Extracting #6: cost 9 inf + 8732 114.421 * * [simplify]: Extracting #7: cost 0 inf + 10833 114.426 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 114.426 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (/ (* a1 (sqrt a1)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.426 * * * * [progress]: [ 313 / 614 ] simplifiying candidate # 114.426 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 1)) 114.426 * * [simplify]: iters left: 6 (11 enodes) 114.434 * * [simplify]: iters left: 5 (37 enodes) 114.446 * * [simplify]: iters left: 4 (42 enodes) 114.458 * * [simplify]: iters left: 3 (51 enodes) 114.472 * * [simplify]: iters left: 2 (59 enodes) 114.488 * * [simplify]: iters left: 1 (66 enodes) 114.510 * * [simplify]: Extracting #0: cost 1 inf + 0 114.510 * * [simplify]: Extracting #1: cost 8 inf + 0 114.510 * * [simplify]: Extracting #2: cost 14 inf + 1 114.510 * * [simplify]: Extracting #3: cost 15 inf + 2 114.511 * * [simplify]: Extracting #4: cost 9 inf + 509 114.511 * * [simplify]: Extracting #5: cost 1 inf + 1703 114.512 * * [simplify]: Extracting #6: cost 0 inf + 1865 114.513 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 114.513 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.513 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1)) 114.514 * * [simplify]: iters left: 6 (10 enodes) 114.520 * * [simplify]: iters left: 5 (38 enodes) 114.533 * * [simplify]: iters left: 4 (56 enodes) 114.552 * * [simplify]: iters left: 3 (82 enodes) 114.574 * * [simplify]: iters left: 2 (94 enodes) 114.602 * * [simplify]: iters left: 1 (109 enodes) 114.635 * * [simplify]: Extracting #0: cost 1 inf + 0 114.635 * * [simplify]: Extracting #1: cost 17 inf + 0 114.635 * * [simplify]: Extracting #2: cost 30 inf + 2 114.635 * * [simplify]: Extracting #3: cost 31 inf + 43 114.636 * * [simplify]: Extracting #4: cost 29 inf + 85 114.637 * * [simplify]: Extracting #5: cost 9 inf + 3441 114.639 * * [simplify]: Extracting #6: cost 1 inf + 5099 114.641 * * [simplify]: Extracting #7: cost 0 inf + 5302 114.643 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 114.643 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.643 * * * * [progress]: [ 314 / 614 ] simplifiying candidate # 114.644 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) 1) 114.644 * * [simplify]: iters left: 6 (10 enodes) 114.651 * * [simplify]: iters left: 5 (34 enodes) 114.665 * * [simplify]: iters left: 4 (39 enodes) 114.677 * * [simplify]: iters left: 3 (50 enodes) 114.690 * * [simplify]: iters left: 2 (58 enodes) 114.706 * * [simplify]: iters left: 1 (65 enodes) 114.724 * * [simplify]: Extracting #0: cost 1 inf + 0 114.724 * * [simplify]: Extracting #1: cost 8 inf + 0 114.724 * * [simplify]: Extracting #2: cost 14 inf + 1 114.725 * * [simplify]: Extracting #3: cost 15 inf + 2 114.725 * * [simplify]: Extracting #4: cost 6 inf + 994 114.726 * * [simplify]: Extracting #5: cost 1 inf + 1643 114.726 * * [simplify]: Extracting #6: cost 0 inf + 1865 114.727 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 114.727 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.728 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (sqrt 2)) a1)) 114.728 * * [simplify]: iters left: 6 (10 enodes) 114.735 * * [simplify]: iters left: 5 (38 enodes) 114.748 * * [simplify]: iters left: 4 (56 enodes) 114.766 * * [simplify]: iters left: 3 (82 enodes) 114.788 * * [simplify]: iters left: 2 (94 enodes) 114.811 * * [simplify]: iters left: 1 (109 enodes) 114.829 * * [simplify]: Extracting #0: cost 1 inf + 0 114.830 * * [simplify]: Extracting #1: cost 17 inf + 0 114.830 * * [simplify]: Extracting #2: cost 30 inf + 2 114.830 * * [simplify]: Extracting #3: cost 31 inf + 43 114.830 * * [simplify]: Extracting #4: cost 29 inf + 85 114.832 * * [simplify]: Extracting #5: cost 9 inf + 3441 114.834 * * [simplify]: Extracting #6: cost 1 inf + 5099 114.836 * * [simplify]: Extracting #7: cost 0 inf + 5302 114.838 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 114.838 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.838 * * * * [progress]: [ 315 / 614 ] simplifiying candidate # 114.839 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (sqrt 2))) 114.839 * * [simplify]: iters left: 6 (10 enodes) 114.846 * * [simplify]: iters left: 5 (36 enodes) 114.857 * * [simplify]: iters left: 4 (45 enodes) 114.871 * * [simplify]: iters left: 3 (52 enodes) 114.884 * * [simplify]: iters left: 2 (59 enodes) 114.899 * * [simplify]: iters left: 1 (68 enodes) 114.915 * * [simplify]: Extracting #0: cost 1 inf + 0 114.916 * * [simplify]: Extracting #1: cost 10 inf + 0 114.916 * * [simplify]: Extracting #2: cost 18 inf + 1 114.916 * * [simplify]: Extracting #3: cost 19 inf + 2 114.916 * * [simplify]: Extracting #4: cost 13 inf + 388 114.917 * * [simplify]: Extracting #5: cost 4 inf + 2225 114.918 * * [simplify]: Extracting #6: cost 0 inf + 3072 114.919 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 114.919 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 114.919 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 a1)) 114.919 * * [simplify]: iters left: 6 (10 enodes) 114.926 * * [simplify]: iters left: 5 (38 enodes) 114.941 * * [simplify]: iters left: 4 (49 enodes) 114.956 * * [simplify]: iters left: 3 (69 enodes) 114.978 * * [simplify]: iters left: 2 (92 enodes) 115.006 * * [simplify]: iters left: 1 (115 enodes) 115.026 * * [simplify]: Extracting #0: cost 1 inf + 0 115.027 * * [simplify]: Extracting #1: cost 11 inf + 0 115.027 * * [simplify]: Extracting #2: cost 18 inf + 2 115.027 * * [simplify]: Extracting #3: cost 18 inf + 85 115.027 * * [simplify]: Extracting #4: cost 14 inf + 251 115.027 * * [simplify]: Extracting #5: cost 3 inf + 1911 115.028 * * [simplify]: Extracting #6: cost 0 inf + 2437 115.029 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 115.029 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (sqrt 2))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.029 * * * * [progress]: [ 316 / 614 ] simplifiying candidate # 115.029 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 115.029 * * [simplify]: iters left: 6 (13 enodes) 115.033 * * [simplify]: iters left: 5 (45 enodes) 115.044 * * [simplify]: iters left: 4 (66 enodes) 115.065 * * [simplify]: iters left: 3 (92 enodes) 115.099 * * [simplify]: iters left: 2 (146 enodes) 115.167 * * [simplify]: iters left: 1 (277 enodes) 115.274 * * [simplify]: Extracting #0: cost 1 inf + 0 115.274 * * [simplify]: Extracting #1: cost 25 inf + 0 115.274 * * [simplify]: Extracting #2: cost 47 inf + 1 115.275 * * [simplify]: Extracting #3: cost 49 inf + 63 115.275 * * [simplify]: Extracting #4: cost 42 inf + 571 115.278 * * [simplify]: Extracting #5: cost 16 inf + 8095 115.284 * * [simplify]: Extracting #6: cost 0 inf + 13680 115.291 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 115.291 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.291 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (cbrt (/ (cbrt (sqrt 2)) a1))) 115.291 * * [simplify]: iters left: 6 (10 enodes) 115.297 * * [simplify]: iters left: 5 (34 enodes) 115.309 * * [simplify]: iters left: 4 (45 enodes) 115.323 * * [simplify]: iters left: 3 (51 enodes) 115.338 * * [simplify]: iters left: 2 (59 enodes) 115.356 * * [simplify]: iters left: 1 (74 enodes) 115.367 * * [simplify]: Extracting #0: cost 1 inf + 0 115.367 * * [simplify]: Extracting #1: cost 15 inf + 0 115.367 * * [simplify]: Extracting #2: cost 24 inf + 2 115.368 * * [simplify]: Extracting #3: cost 27 inf + 2 115.368 * * [simplify]: Extracting #4: cost 26 inf + 3 115.368 * * [simplify]: Extracting #5: cost 23 inf + 206 115.368 * * [simplify]: Extracting #6: cost 14 inf + 1984 115.369 * * [simplify]: Extracting #7: cost 2 inf + 5291 115.370 * * [simplify]: Extracting #8: cost 0 inf + 5895 115.371 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) 115.371 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.371 * * * * [progress]: [ 317 / 614 ] simplifiying candidate # 115.371 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 115.371 * * [simplify]: iters left: 6 (12 enodes) 115.375 * * [simplify]: iters left: 5 (40 enodes) 115.386 * * [simplify]: iters left: 4 (51 enodes) 115.402 * * [simplify]: iters left: 3 (58 enodes) 115.419 * * [simplify]: iters left: 2 (74 enodes) 115.446 * * [simplify]: iters left: 1 (121 enodes) 115.484 * * [simplify]: Extracting #0: cost 1 inf + 0 115.484 * * [simplify]: Extracting #1: cost 16 inf + 0 115.484 * * [simplify]: Extracting #2: cost 30 inf + 1 115.484 * * [simplify]: Extracting #3: cost 32 inf + 63 115.484 * * [simplify]: Extracting #4: cost 27 inf + 208 115.485 * * [simplify]: Extracting #5: cost 21 inf + 1218 115.485 * * [simplify]: Extracting #6: cost 5 inf + 5319 115.488 * * [simplify]: Extracting #7: cost 0 inf + 6833 115.491 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) 115.491 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.491 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 115.491 * * [simplify]: iters left: 6 (10 enodes) 115.497 * * [simplify]: iters left: 5 (34 enodes) 115.508 * * [simplify]: iters left: 4 (45 enodes) 115.522 * * [simplify]: iters left: 3 (51 enodes) 115.536 * * [simplify]: iters left: 2 (59 enodes) 115.553 * * [simplify]: iters left: 1 (74 enodes) 115.564 * * [simplify]: Extracting #0: cost 1 inf + 0 115.564 * * [simplify]: Extracting #1: cost 15 inf + 0 115.565 * * [simplify]: Extracting #2: cost 24 inf + 2 115.565 * * [simplify]: Extracting #3: cost 27 inf + 2 115.565 * * [simplify]: Extracting #4: cost 26 inf + 3 115.565 * * [simplify]: Extracting #5: cost 23 inf + 206 115.565 * * [simplify]: Extracting #6: cost 14 inf + 1864 115.566 * * [simplify]: Extracting #7: cost 2 inf + 4771 115.567 * * [simplify]: Extracting #8: cost 0 inf + 5295 115.568 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) 115.568 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.568 * * * * [progress]: [ 318 / 614 ] simplifiying candidate # 115.568 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 115.568 * * [simplify]: iters left: 6 (15 enodes) 115.572 * * [simplify]: iters left: 5 (54 enodes) 115.581 * * [simplify]: iters left: 4 (83 enodes) 115.605 * * [simplify]: iters left: 3 (141 enodes) 115.638 * * [simplify]: iters left: 2 (281 enodes) 115.779 * * [simplify]: Extracting #0: cost 1 inf + 0 115.779 * * [simplify]: Extracting #1: cost 61 inf + 0 115.779 * * [simplify]: Extracting #2: cost 108 inf + 1 115.780 * * [simplify]: Extracting #3: cost 103 inf + 529 115.781 * * [simplify]: Extracting #4: cost 91 inf + 2489 115.782 * * [simplify]: Extracting #5: cost 62 inf + 11143 115.787 * * [simplify]: Extracting #6: cost 17 inf + 30015 115.794 * * [simplify]: Extracting #7: cost 0 inf + 36756 115.804 * [simplify]: Simplified to (/ (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) 115.804 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (/ (* (cbrt a1) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.804 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 115.805 * * [simplify]: iters left: 6 (11 enodes) 115.813 * * [simplify]: iters left: 5 (39 enodes) 115.827 * * [simplify]: iters left: 4 (60 enodes) 115.847 * * [simplify]: iters left: 3 (89 enodes) 115.867 * * [simplify]: iters left: 2 (137 enodes) 115.901 * * [simplify]: iters left: 1 (213 enodes) 115.970 * * [simplify]: Extracting #0: cost 1 inf + 0 115.971 * * [simplify]: Extracting #1: cost 35 inf + 0 115.971 * * [simplify]: Extracting #2: cost 66 inf + 83 115.972 * * [simplify]: Extracting #3: cost 65 inf + 406 115.972 * * [simplify]: Extracting #4: cost 64 inf + 407 115.973 * * [simplify]: Extracting #5: cost 50 inf + 3189 115.978 * * [simplify]: Extracting #6: cost 9 inf + 15558 115.984 * * [simplify]: Extracting #7: cost 0 inf + 18379 115.990 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 115.990 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (* a1 (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 115.991 * * * * [progress]: [ 319 / 614 ] simplifiying candidate # 115.991 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 115.991 * * [simplify]: iters left: 6 (14 enodes) 115.998 * * [simplify]: iters left: 5 (49 enodes) 116.012 * * [simplify]: iters left: 4 (70 enodes) 116.027 * * [simplify]: iters left: 3 (100 enodes) 116.045 * * [simplify]: iters left: 2 (165 enodes) 116.131 * * [simplify]: iters left: 1 (306 enodes) 116.289 * * [simplify]: Extracting #0: cost 1 inf + 0 116.289 * * [simplify]: Extracting #1: cost 32 inf + 0 116.289 * * [simplify]: Extracting #2: cost 64 inf + 1 116.290 * * [simplify]: Extracting #3: cost 62 inf + 166 116.293 * * [simplify]: Extracting #4: cost 50 inf + 1724 116.295 * * [simplify]: Extracting #5: cost 8 inf + 15378 116.300 * * [simplify]: Extracting #6: cost 0 inf + 18156 116.304 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) 116.304 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 116.305 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 116.305 * * [simplify]: iters left: 6 (11 enodes) 116.308 * * [simplify]: iters left: 5 (39 enodes) 116.316 * * [simplify]: iters left: 4 (60 enodes) 116.333 * * [simplify]: iters left: 3 (89 enodes) 116.348 * * [simplify]: iters left: 2 (137 enodes) 116.384 * * [simplify]: iters left: 1 (213 enodes) 116.440 * * [simplify]: Extracting #0: cost 1 inf + 0 116.440 * * [simplify]: Extracting #1: cost 35 inf + 0 116.440 * * [simplify]: Extracting #2: cost 66 inf + 43 116.441 * * [simplify]: Extracting #3: cost 65 inf + 246 116.442 * * [simplify]: Extracting #4: cost 64 inf + 247 116.443 * * [simplify]: Extracting #5: cost 50 inf + 2869 116.447 * * [simplify]: Extracting #6: cost 9 inf + 14198 116.453 * * [simplify]: Extracting #7: cost 0 inf + 16819 116.462 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 116.462 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (* a1 (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 116.462 * * * * [progress]: [ 320 / 614 ] simplifiying candidate # 116.462 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 116.462 * * [simplify]: iters left: 6 (12 enodes) 116.469 * * [simplify]: iters left: 5 (41 enodes) 116.476 * * [simplify]: iters left: 4 (52 enodes) 116.484 * * [simplify]: iters left: 3 (61 enodes) 116.492 * * [simplify]: iters left: 2 (76 enodes) 116.506 * * [simplify]: iters left: 1 (122 enodes) 116.533 * * [simplify]: Extracting #0: cost 1 inf + 0 116.533 * * [simplify]: Extracting #1: cost 16 inf + 0 116.534 * * [simplify]: Extracting #2: cost 30 inf + 1 116.534 * * [simplify]: Extracting #3: cost 31 inf + 63 116.534 * * [simplify]: Extracting #4: cost 27 inf + 207 116.534 * * [simplify]: Extracting #5: cost 21 inf + 1155 116.536 * * [simplify]: Extracting #6: cost 4 inf + 6045 116.539 * * [simplify]: Extracting #7: cost 0 inf + 7493 116.542 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 116.542 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 116.543 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 116.543 * * [simplify]: iters left: 6 (10 enodes) 116.550 * * [simplify]: iters left: 5 (36 enodes) 116.563 * * [simplify]: iters left: 4 (57 enodes) 116.582 * * [simplify]: iters left: 3 (83 enodes) 116.599 * * [simplify]: iters left: 2 (110 enodes) 116.617 * * [simplify]: iters left: 1 (145 enodes) 116.674 * * [simplify]: Extracting #0: cost 1 inf + 0 116.674 * * [simplify]: Extracting #1: cost 28 inf + 0 116.675 * * [simplify]: Extracting #2: cost 46 inf + 2 116.675 * * [simplify]: Extracting #3: cost 47 inf + 43 116.675 * * [simplify]: Extracting #4: cost 45 inf + 85 116.676 * * [simplify]: Extracting #5: cost 32 inf + 2586 116.680 * * [simplify]: Extracting #6: cost 2 inf + 10172 116.684 * * [simplify]: Extracting #7: cost 0 inf + 10695 116.688 * [simplify]: Simplified to (/ (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 116.688 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 116.688 * * * * [progress]: [ 321 / 614 ] simplifiying candidate # 116.689 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 116.689 * * [simplify]: iters left: 6 (17 enodes) 116.698 * * [simplify]: iters left: 5 (60 enodes) 116.717 * * [simplify]: iters left: 4 (89 enodes) 116.748 * * [simplify]: iters left: 3 (147 enodes) 116.811 * * [simplify]: iters left: 2 (287 enodes) 116.961 * * [simplify]: Extracting #0: cost 1 inf + 0 116.961 * * [simplify]: Extracting #1: cost 62 inf + 0 116.962 * * [simplify]: Extracting #2: cost 109 inf + 1 116.962 * * [simplify]: Extracting #3: cost 106 inf + 650 116.963 * * [simplify]: Extracting #4: cost 94 inf + 3197 116.967 * * [simplify]: Extracting #5: cost 26 inf + 27199 116.975 * * [simplify]: Extracting #6: cost 0 inf + 38103 116.983 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1)))) 116.983 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 116.984 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 116.984 * * [simplify]: iters left: 6 (13 enodes) 116.991 * * [simplify]: iters left: 5 (45 enodes) 117.006 * * [simplify]: iters left: 4 (66 enodes) 117.029 * * [simplify]: iters left: 3 (95 enodes) 117.054 * * [simplify]: iters left: 2 (143 enodes) 117.081 * * [simplify]: iters left: 1 (220 enodes) 117.145 * * [simplify]: Extracting #0: cost 1 inf + 0 117.145 * * [simplify]: Extracting #1: cost 36 inf + 0 117.146 * * [simplify]: Extracting #2: cost 68 inf + 2 117.146 * * [simplify]: Extracting #3: cost 68 inf + 406 117.147 * * [simplify]: Extracting #4: cost 68 inf + 407 117.148 * * [simplify]: Extracting #5: cost 58 inf + 1820 117.152 * * [simplify]: Extracting #6: cost 12 inf + 16158 117.156 * * [simplify]: Extracting #7: cost 0 inf + 21063 117.159 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2))))) 117.160 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 117.160 * * * * [progress]: [ 322 / 614 ] simplifiying candidate # 117.160 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 117.160 * * [simplify]: iters left: 6 (16 enodes) 117.165 * * [simplify]: iters left: 5 (55 enodes) 117.174 * * [simplify]: iters left: 4 (76 enodes) 117.189 * * [simplify]: iters left: 3 (106 enodes) 117.228 * * [simplify]: iters left: 2 (171 enodes) 117.281 * * [simplify]: iters left: 1 (313 enodes) 117.456 * * [simplify]: Extracting #0: cost 1 inf + 0 117.456 * * [simplify]: Extracting #1: cost 32 inf + 0 117.457 * * [simplify]: Extracting #2: cost 64 inf + 1 117.457 * * [simplify]: Extracting #3: cost 65 inf + 105 117.458 * * [simplify]: Extracting #4: cost 53 inf + 2189 117.462 * * [simplify]: Extracting #5: cost 20 inf + 11693 117.470 * * [simplify]: Extracting #6: cost 0 inf + 19280 117.478 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (fabs (cbrt 2))))) 117.478 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (fabs (cbrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 117.478 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 117.478 * * [simplify]: iters left: 6 (13 enodes) 117.482 * * [simplify]: iters left: 5 (45 enodes) 117.492 * * [simplify]: iters left: 4 (66 enodes) 117.503 * * [simplify]: iters left: 3 (95 enodes) 117.528 * * [simplify]: iters left: 2 (143 enodes) 117.557 * * [simplify]: iters left: 1 (220 enodes) 117.642 * * [simplify]: Extracting #0: cost 1 inf + 0 117.642 * * [simplify]: Extracting #1: cost 36 inf + 0 117.643 * * [simplify]: Extracting #2: cost 68 inf + 2 117.644 * * [simplify]: Extracting #3: cost 68 inf + 246 117.644 * * [simplify]: Extracting #4: cost 68 inf + 247 117.645 * * [simplify]: Extracting #5: cost 58 inf + 1580 117.650 * * [simplify]: Extracting #6: cost 12 inf + 14958 117.657 * * [simplify]: Extracting #7: cost 0 inf + 19503 117.664 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2))))) 117.664 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (fabs (cbrt 2))))) (/ (sqrt a1) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 117.665 * * * * [progress]: [ 323 / 614 ] simplifiying candidate # 117.665 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 117.665 * * [simplify]: iters left: 6 (14 enodes) 117.673 * * [simplify]: iters left: 5 (47 enodes) 117.681 * * [simplify]: iters left: 4 (58 enodes) 117.691 * * [simplify]: iters left: 3 (67 enodes) 117.700 * * [simplify]: iters left: 2 (82 enodes) 117.715 * * [simplify]: iters left: 1 (128 enodes) 117.744 * * [simplify]: Extracting #0: cost 1 inf + 0 117.744 * * [simplify]: Extracting #1: cost 16 inf + 0 117.744 * * [simplify]: Extracting #2: cost 30 inf + 1 117.744 * * [simplify]: Extracting #3: cost 33 inf + 63 117.744 * * [simplify]: Extracting #4: cost 29 inf + 409 117.745 * * [simplify]: Extracting #5: cost 14 inf + 3352 117.746 * * [simplify]: Extracting #6: cost 1 inf + 7856 117.747 * * [simplify]: Extracting #7: cost 0 inf + 8217 117.749 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) 117.749 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 117.749 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) 117.749 * * [simplify]: iters left: 6 (12 enodes) 117.752 * * [simplify]: iters left: 5 (42 enodes) 117.762 * * [simplify]: iters left: 4 (63 enodes) 117.773 * * [simplify]: iters left: 3 (89 enodes) 117.794 * * [simplify]: iters left: 2 (116 enodes) 117.814 * * [simplify]: iters left: 1 (151 enodes) 117.860 * * [simplify]: Extracting #0: cost 1 inf + 0 117.860 * * [simplify]: Extracting #1: cost 28 inf + 0 117.860 * * [simplify]: Extracting #2: cost 47 inf + 2 117.861 * * [simplify]: Extracting #3: cost 49 inf + 84 117.861 * * [simplify]: Extracting #4: cost 49 inf + 85 117.861 * * [simplify]: Extracting #5: cost 39 inf + 1257 117.863 * * [simplify]: Extracting #6: cost 11 inf + 9155 117.865 * * [simplify]: Extracting #7: cost 0 inf + 12659 117.867 * [simplify]: Simplified to (/ (/ (* a1 a1) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2))) 117.867 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (/ (* a1 a1) (cbrt (sqrt (cbrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 117.867 * * * * [progress]: [ 324 / 614 ] simplifiying candidate # 117.867 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 117.867 * * [simplify]: iters left: 6 (15 enodes) 117.872 * * [simplify]: iters left: 5 (53 enodes) 117.880 * * [simplify]: iters left: 4 (82 enodes) 117.899 * * [simplify]: iters left: 3 (140 enodes) 117.948 * * [simplify]: iters left: 2 (280 enodes) 118.089 * * [simplify]: Extracting #0: cost 1 inf + 0 118.090 * * [simplify]: Extracting #1: cost 61 inf + 0 118.090 * * [simplify]: Extracting #2: cost 108 inf + 1 118.091 * * [simplify]: Extracting #3: cost 103 inf + 529 118.091 * * [simplify]: Extracting #4: cost 88 inf + 3318 118.093 * * [simplify]: Extracting #5: cost 63 inf + 10361 118.097 * * [simplify]: Extracting #6: cost 23 inf + 24936 118.104 * * [simplify]: Extracting #7: cost 0 inf + 33956 118.118 * [simplify]: Simplified to (/ (* (cbrt a1) (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (cbrt (sqrt (sqrt 2))))) 118.118 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (cbrt (sqrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 118.118 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 118.119 * * [simplify]: iters left: 6 (12 enodes) 118.125 * * [simplify]: iters left: 5 (42 enodes) 118.139 * * [simplify]: iters left: 4 (63 enodes) 118.159 * * [simplify]: iters left: 3 (92 enodes) 118.189 * * [simplify]: iters left: 2 (140 enodes) 118.242 * * [simplify]: iters left: 1 (217 enodes) 118.301 * * [simplify]: Extracting #0: cost 1 inf + 0 118.301 * * [simplify]: Extracting #1: cost 36 inf + 0 118.301 * * [simplify]: Extracting #2: cost 67 inf + 83 118.301 * * [simplify]: Extracting #3: cost 67 inf + 406 118.302 * * [simplify]: Extracting #4: cost 66 inf + 407 118.302 * * [simplify]: Extracting #5: cost 50 inf + 3434 118.304 * * [simplify]: Extracting #6: cost 14 inf + 14227 118.308 * * [simplify]: Extracting #7: cost 0 inf + 18500 118.313 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt 2)) (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))))) 118.313 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (cbrt (sqrt 2)) (/ (cbrt a1) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 118.313 * * * * [progress]: [ 325 / 614 ] simplifiying candidate # 118.313 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 118.313 * * [simplify]: iters left: 6 (14 enodes) 118.321 * * [simplify]: iters left: 5 (48 enodes) 118.333 * * [simplify]: iters left: 4 (69 enodes) 118.345 * * [simplify]: iters left: 3 (99 enodes) 118.366 * * [simplify]: iters left: 2 (164 enodes) 118.453 * * [simplify]: iters left: 1 (302 enodes) 118.608 * * [simplify]: Extracting #0: cost 1 inf + 0 118.609 * * [simplify]: Extracting #1: cost 32 inf + 0 118.609 * * [simplify]: Extracting #2: cost 64 inf + 1 118.609 * * [simplify]: Extracting #3: cost 61 inf + 207 118.610 * * [simplify]: Extracting #4: cost 49 inf + 1704 118.612 * * [simplify]: Extracting #5: cost 8 inf + 13957 118.616 * * [simplify]: Extracting #6: cost 0 inf + 16556 118.620 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 118.620 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 118.620 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 118.620 * * [simplify]: iters left: 6 (12 enodes) 118.624 * * [simplify]: iters left: 5 (42 enodes) 118.631 * * [simplify]: iters left: 4 (63 enodes) 118.649 * * [simplify]: iters left: 3 (92 enodes) 118.682 * * [simplify]: iters left: 2 (140 enodes) 118.736 * * [simplify]: iters left: 1 (217 enodes) 118.806 * * [simplify]: Extracting #0: cost 1 inf + 0 118.806 * * [simplify]: Extracting #1: cost 36 inf + 0 118.807 * * [simplify]: Extracting #2: cost 67 inf + 43 118.807 * * [simplify]: Extracting #3: cost 67 inf + 246 118.808 * * [simplify]: Extracting #4: cost 66 inf + 247 118.809 * * [simplify]: Extracting #5: cost 50 inf + 3074 118.813 * * [simplify]: Extracting #6: cost 14 inf + 12947 118.819 * * [simplify]: Extracting #7: cost 0 inf + 16900 118.826 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))))) 118.826 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ a1 (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 118.826 * * * * [progress]: [ 326 / 614 ] simplifiying candidate # 118.826 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) 118.827 * * [simplify]: iters left: 6 (12 enodes) 118.833 * * [simplify]: iters left: 5 (40 enodes) 118.846 * * [simplify]: iters left: 4 (51 enodes) 118.861 * * [simplify]: iters left: 3 (60 enodes) 118.877 * * [simplify]: iters left: 2 (75 enodes) 118.899 * * [simplify]: iters left: 1 (121 enodes) 118.925 * * [simplify]: Extracting #0: cost 1 inf + 0 118.926 * * [simplify]: Extracting #1: cost 16 inf + 0 118.926 * * [simplify]: Extracting #2: cost 30 inf + 1 118.926 * * [simplify]: Extracting #3: cost 30 inf + 124 118.926 * * [simplify]: Extracting #4: cost 26 inf + 288 118.927 * * [simplify]: Extracting #5: cost 8 inf + 4557 118.928 * * [simplify]: Extracting #6: cost 0 inf + 6693 118.929 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 118.929 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 118.929 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 118.929 * * [simplify]: iters left: 6 (11 enodes) 118.933 * * [simplify]: iters left: 5 (39 enodes) 118.940 * * [simplify]: iters left: 4 (60 enodes) 118.951 * * [simplify]: iters left: 3 (86 enodes) 118.973 * * [simplify]: iters left: 2 (113 enodes) 119.014 * * [simplify]: iters left: 1 (149 enodes) 119.063 * * [simplify]: Extracting #0: cost 1 inf + 0 119.064 * * [simplify]: Extracting #1: cost 28 inf + 0 119.064 * * [simplify]: Extracting #2: cost 47 inf + 2 119.064 * * [simplify]: Extracting #3: cost 49 inf + 43 119.064 * * [simplify]: Extracting #4: cost 47 inf + 85 119.065 * * [simplify]: Extracting #5: cost 36 inf + 1660 119.066 * * [simplify]: Extracting #6: cost 6 inf + 9044 119.068 * * [simplify]: Extracting #7: cost 0 inf + 10737 119.070 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1)) 119.070 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.070 * * * * [progress]: [ 327 / 614 ] simplifiying candidate # 119.070 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 119.070 * * [simplify]: iters left: 6 (15 enodes) 119.075 * * [simplify]: iters left: 5 (53 enodes) 119.084 * * [simplify]: iters left: 4 (84 enodes) 119.101 * * [simplify]: iters left: 3 (147 enodes) 119.132 * * [simplify]: iters left: 2 (272 enodes) 119.314 * * [simplify]: Extracting #0: cost 1 inf + 0 119.314 * * [simplify]: Extracting #1: cost 32 inf + 0 119.315 * * [simplify]: Extracting #2: cost 81 inf + 1 119.316 * * [simplify]: Extracting #3: cost 61 inf + 2619 119.319 * * [simplify]: Extracting #4: cost 28 inf + 10176 119.326 * * [simplify]: Extracting #5: cost 2 inf + 17259 119.333 * * [simplify]: Extracting #6: cost 0 inf + 17823 119.340 * [simplify]: Simplified to (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) 119.340 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.341 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 119.341 * * [simplify]: iters left: 6 (10 enodes) 119.346 * * [simplify]: iters left: 5 (36 enodes) 119.359 * * [simplify]: iters left: 4 (58 enodes) 119.378 * * [simplify]: iters left: 3 (80 enodes) 119.401 * * [simplify]: iters left: 2 (109 enodes) 119.423 * * [simplify]: iters left: 1 (147 enodes) 119.466 * * [simplify]: Extracting #0: cost 1 inf + 0 119.466 * * [simplify]: Extracting #1: cost 26 inf + 0 119.466 * * [simplify]: Extracting #2: cost 50 inf + 2 119.467 * * [simplify]: Extracting #3: cost 51 inf + 83 119.467 * * [simplify]: Extracting #4: cost 47 inf + 407 119.469 * * [simplify]: Extracting #5: cost 25 inf + 5132 119.472 * * [simplify]: Extracting #6: cost 4 inf + 10258 119.476 * * [simplify]: Extracting #7: cost 0 inf + 11345 119.480 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) 119.480 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (* (cbrt a1) (cbrt a1))) (cbrt (sqrt 2))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.480 * * * * [progress]: [ 328 / 614 ] simplifiying candidate # 119.481 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) (sqrt a1))) 119.481 * * [simplify]: iters left: 6 (14 enodes) 119.489 * * [simplify]: iters left: 5 (48 enodes) 119.505 * * [simplify]: iters left: 4 (68 enodes) 119.523 * * [simplify]: iters left: 3 (87 enodes) 119.539 * * [simplify]: iters left: 2 (131 enodes) 119.578 * * [simplify]: iters left: 1 (250 enodes) 119.722 * * [simplify]: Extracting #0: cost 1 inf + 0 119.723 * * [simplify]: Extracting #1: cost 16 inf + 0 119.723 * * [simplify]: Extracting #2: cost 32 inf + 1 119.723 * * [simplify]: Extracting #3: cost 30 inf + 125 119.724 * * [simplify]: Extracting #4: cost 21 inf + 759 119.726 * * [simplify]: Extracting #5: cost 4 inf + 4096 119.728 * * [simplify]: Extracting #6: cost 0 inf + 5005 119.732 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (cbrt (sqrt 2))) 119.732 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.732 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 119.732 * * [simplify]: iters left: 6 (10 enodes) 119.738 * * [simplify]: iters left: 5 (36 enodes) 119.751 * * [simplify]: iters left: 4 (58 enodes) 119.770 * * [simplify]: iters left: 3 (80 enodes) 119.794 * * [simplify]: iters left: 2 (109 enodes) 119.832 * * [simplify]: iters left: 1 (147 enodes) 119.863 * * [simplify]: Extracting #0: cost 1 inf + 0 119.863 * * [simplify]: Extracting #1: cost 26 inf + 0 119.863 * * [simplify]: Extracting #2: cost 50 inf + 2 119.863 * * [simplify]: Extracting #3: cost 51 inf + 43 119.863 * * [simplify]: Extracting #4: cost 47 inf + 247 119.864 * * [simplify]: Extracting #5: cost 25 inf + 4572 119.866 * * [simplify]: Extracting #6: cost 4 inf + 9218 119.868 * * [simplify]: Extracting #7: cost 0 inf + 10185 119.870 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)) 119.870 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (cbrt (sqrt 2))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.870 * * * * [progress]: [ 329 / 614 ] simplifiying candidate # 119.870 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 1)) 1)) 119.871 * * [simplify]: iters left: 6 (12 enodes) 119.875 * * [simplify]: iters left: 5 (40 enodes) 119.888 * * [simplify]: iters left: 4 (51 enodes) 119.903 * * [simplify]: iters left: 3 (54 enodes) 119.916 * * [simplify]: iters left: 2 (59 enodes) 119.934 * * [simplify]: iters left: 1 (74 enodes) 119.956 * * [simplify]: Extracting #0: cost 1 inf + 0 119.956 * * [simplify]: Extracting #1: cost 9 inf + 0 119.956 * * [simplify]: Extracting #2: cost 15 inf + 1 119.957 * * [simplify]: Extracting #3: cost 16 inf + 2 119.957 * * [simplify]: Extracting #4: cost 12 inf + 166 119.957 * * [simplify]: Extracting #5: cost 5 inf + 1058 119.958 * * [simplify]: Extracting #6: cost 0 inf + 2007 119.959 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 119.959 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 119.960 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1)) 119.960 * * [simplify]: iters left: 6 (9 enodes) 119.965 * * [simplify]: iters left: 5 (33 enodes) 119.977 * * [simplify]: iters left: 4 (55 enodes) 119.995 * * [simplify]: iters left: 3 (74 enodes) 120.016 * * [simplify]: iters left: 2 (86 enodes) 120.041 * * [simplify]: iters left: 1 (101 enodes) 120.075 * * [simplify]: Extracting #0: cost 1 inf + 0 120.075 * * [simplify]: Extracting #1: cost 17 inf + 0 120.075 * * [simplify]: Extracting #2: cost 30 inf + 2 120.075 * * [simplify]: Extracting #3: cost 31 inf + 43 120.076 * * [simplify]: Extracting #4: cost 29 inf + 85 120.076 * * [simplify]: Extracting #5: cost 26 inf + 288 120.077 * * [simplify]: Extracting #6: cost 7 inf + 3846 120.079 * * [simplify]: Extracting #7: cost 0 inf + 5302 120.082 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 120.082 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 120.082 * * * * [progress]: [ 330 / 614 ] simplifiying candidate # 120.082 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 120.082 * * [simplify]: iters left: 6 (15 enodes) 120.090 * * [simplify]: iters left: 5 (53 enodes) 120.107 * * [simplify]: iters left: 4 (82 enodes) 120.135 * * [simplify]: iters left: 3 (140 enodes) 120.191 * * [simplify]: iters left: 2 (280 enodes) 120.402 * * [simplify]: Extracting #0: cost 1 inf + 0 120.403 * * [simplify]: Extracting #1: cost 61 inf + 0 120.403 * * [simplify]: Extracting #2: cost 108 inf + 1 120.404 * * [simplify]: Extracting #3: cost 103 inf + 529 120.406 * * [simplify]: Extracting #4: cost 88 inf + 3318 120.412 * * [simplify]: Extracting #5: cost 63 inf + 10361 120.420 * * [simplify]: Extracting #6: cost 23 inf + 24936 120.435 * * [simplify]: Extracting #7: cost 0 inf + 33956 120.449 * [simplify]: Simplified to (/ (* (cbrt a1) (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (cbrt (sqrt (sqrt 2))))) 120.449 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cos th)) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (cbrt (sqrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 120.450 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 120.450 * * [simplify]: iters left: 6 (12 enodes) 120.457 * * [simplify]: iters left: 5 (42 enodes) 120.470 * * [simplify]: iters left: 4 (63 enodes) 120.492 * * [simplify]: iters left: 3 (92 enodes) 120.515 * * [simplify]: iters left: 2 (140 enodes) 120.557 * * [simplify]: iters left: 1 (217 enodes) 120.609 * * [simplify]: Extracting #0: cost 1 inf + 0 120.609 * * [simplify]: Extracting #1: cost 36 inf + 0 120.610 * * [simplify]: Extracting #2: cost 67 inf + 83 120.610 * * [simplify]: Extracting #3: cost 67 inf + 406 120.611 * * [simplify]: Extracting #4: cost 66 inf + 407 120.612 * * [simplify]: Extracting #5: cost 50 inf + 3434 120.616 * * [simplify]: Extracting #6: cost 14 inf + 14227 120.622 * * [simplify]: Extracting #7: cost 0 inf + 18500 120.629 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt 2)) (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))))) 120.629 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ a1 (/ (cbrt (sqrt 2)) (/ (cbrt a1) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 120.629 * * * * [progress]: [ 331 / 614 ] simplifiying candidate # 120.629 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 120.630 * * [simplify]: iters left: 6 (14 enodes) 120.633 * * [simplify]: iters left: 5 (48 enodes) 120.641 * * [simplify]: iters left: 4 (69 enodes) 120.652 * * [simplify]: iters left: 3 (99 enodes) 120.680 * * [simplify]: iters left: 2 (164 enodes) 120.735 * * [simplify]: iters left: 1 (302 enodes) 120.880 * * [simplify]: Extracting #0: cost 1 inf + 0 120.880 * * [simplify]: Extracting #1: cost 32 inf + 0 120.880 * * [simplify]: Extracting #2: cost 64 inf + 1 120.881 * * [simplify]: Extracting #3: cost 61 inf + 207 120.881 * * [simplify]: Extracting #4: cost 49 inf + 1704 120.886 * * [simplify]: Extracting #5: cost 8 inf + 13957 120.894 * * [simplify]: Extracting #6: cost 0 inf + 16556 120.902 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 120.902 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 120.902 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 120.902 * * [simplify]: iters left: 6 (12 enodes) 120.909 * * [simplify]: iters left: 5 (42 enodes) 120.919 * * [simplify]: iters left: 4 (63 enodes) 120.930 * * [simplify]: iters left: 3 (92 enodes) 120.945 * * [simplify]: iters left: 2 (140 enodes) 121.002 * * [simplify]: iters left: 1 (217 enodes) 121.092 * * [simplify]: Extracting #0: cost 1 inf + 0 121.092 * * [simplify]: Extracting #1: cost 36 inf + 0 121.092 * * [simplify]: Extracting #2: cost 67 inf + 43 121.092 * * [simplify]: Extracting #3: cost 67 inf + 246 121.093 * * [simplify]: Extracting #4: cost 66 inf + 247 121.093 * * [simplify]: Extracting #5: cost 50 inf + 3074 121.095 * * [simplify]: Extracting #6: cost 14 inf + 12947 121.099 * * [simplify]: Extracting #7: cost 0 inf + 16900 121.102 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))))) 121.102 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ a1 (/ (cbrt (sqrt 2)) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 121.102 * * * * [progress]: [ 332 / 614 ] simplifiying candidate # 121.102 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) 121.102 * * [simplify]: iters left: 6 (12 enodes) 121.106 * * [simplify]: iters left: 5 (40 enodes) 121.113 * * [simplify]: iters left: 4 (51 enodes) 121.127 * * [simplify]: iters left: 3 (60 enodes) 121.144 * * [simplify]: iters left: 2 (75 enodes) 121.171 * * [simplify]: iters left: 1 (121 enodes) 121.220 * * [simplify]: Extracting #0: cost 1 inf + 0 121.220 * * [simplify]: Extracting #1: cost 16 inf + 0 121.220 * * [simplify]: Extracting #2: cost 30 inf + 1 121.221 * * [simplify]: Extracting #3: cost 30 inf + 124 121.221 * * [simplify]: Extracting #4: cost 26 inf + 288 121.222 * * [simplify]: Extracting #5: cost 8 inf + 4557 121.224 * * [simplify]: Extracting #6: cost 0 inf + 6693 121.226 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 121.226 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 121.226 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 121.226 * * [simplify]: iters left: 6 (11 enodes) 121.230 * * [simplify]: iters left: 5 (39 enodes) 121.237 * * [simplify]: iters left: 4 (60 enodes) 121.248 * * [simplify]: iters left: 3 (86 enodes) 121.267 * * [simplify]: iters left: 2 (113 enodes) 121.289 * * [simplify]: iters left: 1 (149 enodes) 121.324 * * [simplify]: Extracting #0: cost 1 inf + 0 121.324 * * [simplify]: Extracting #1: cost 28 inf + 0 121.324 * * [simplify]: Extracting #2: cost 47 inf + 2 121.324 * * [simplify]: Extracting #3: cost 49 inf + 43 121.325 * * [simplify]: Extracting #4: cost 47 inf + 85 121.325 * * [simplify]: Extracting #5: cost 36 inf + 1660 121.326 * * [simplify]: Extracting #6: cost 6 inf + 9044 121.328 * * [simplify]: Extracting #7: cost 0 inf + 10737 121.330 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1)) 121.330 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 121.331 * * * * [progress]: [ 333 / 614 ] simplifiying candidate # 121.331 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 121.331 * * [simplify]: iters left: 6 (14 enodes) 121.336 * * [simplify]: iters left: 5 (50 enodes) 121.345 * * [simplify]: iters left: 4 (81 enodes) 121.371 * * [simplify]: iters left: 3 (144 enodes) 121.432 * * [simplify]: iters left: 2 (272 enodes) 121.579 * * [simplify]: Extracting #0: cost 1 inf + 0 121.580 * * [simplify]: Extracting #1: cost 32 inf + 0 121.580 * * [simplify]: Extracting #2: cost 89 inf + 1 121.580 * * [simplify]: Extracting #3: cost 87 inf + 166 121.581 * * [simplify]: Extracting #4: cost 54 inf + 5125 121.584 * * [simplify]: Extracting #5: cost 6 inf + 17487 121.588 * * [simplify]: Extracting #6: cost 0 inf + 19221 121.592 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt a1)) (/ (cos th) (cbrt (sqrt 2)))) 121.592 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (/ (cos th) (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 121.592 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 121.592 * * [simplify]: iters left: 6 (10 enodes) 121.595 * * [simplify]: iters left: 5 (36 enodes) 121.602 * * [simplify]: iters left: 4 (58 enodes) 121.612 * * [simplify]: iters left: 3 (80 enodes) 121.624 * * [simplify]: iters left: 2 (109 enodes) 121.645 * * [simplify]: iters left: 1 (147 enodes) 121.700 * * [simplify]: Extracting #0: cost 1 inf + 0 121.700 * * [simplify]: Extracting #1: cost 26 inf + 0 121.700 * * [simplify]: Extracting #2: cost 50 inf + 2 121.700 * * [simplify]: Extracting #3: cost 51 inf + 83 121.701 * * [simplify]: Extracting #4: cost 47 inf + 407 121.702 * * [simplify]: Extracting #5: cost 25 inf + 5132 121.706 * * [simplify]: Extracting #6: cost 4 inf + 10258 121.710 * * [simplify]: Extracting #7: cost 0 inf + 11345 121.714 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) 121.714 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 121.714 * * * * [progress]: [ 334 / 614 ] simplifiying candidate # 121.715 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) (sqrt a1))) 121.715 * * [simplify]: iters left: 6 (13 enodes) 121.723 * * [simplify]: iters left: 5 (45 enodes) 121.738 * * [simplify]: iters left: 4 (65 enodes) 121.759 * * [simplify]: iters left: 3 (84 enodes) 121.787 * * [simplify]: iters left: 2 (128 enodes) 121.849 * * [simplify]: iters left: 1 (248 enodes) 122.039 * * [simplify]: Extracting #0: cost 1 inf + 0 122.039 * * [simplify]: Extracting #1: cost 16 inf + 0 122.040 * * [simplify]: Extracting #2: cost 32 inf + 1 122.040 * * [simplify]: Extracting #3: cost 30 inf + 105 122.041 * * [simplify]: Extracting #4: cost 18 inf + 1307 122.042 * * [simplify]: Extracting #5: cost 7 inf + 3349 122.045 * * [simplify]: Extracting #6: cost 0 inf + 5005 122.048 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) 122.048 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.049 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 122.049 * * [simplify]: iters left: 6 (10 enodes) 122.055 * * [simplify]: iters left: 5 (36 enodes) 122.067 * * [simplify]: iters left: 4 (58 enodes) 122.077 * * [simplify]: iters left: 3 (80 enodes) 122.089 * * [simplify]: iters left: 2 (109 enodes) 122.122 * * [simplify]: iters left: 1 (147 enodes) 122.151 * * [simplify]: Extracting #0: cost 1 inf + 0 122.152 * * [simplify]: Extracting #1: cost 26 inf + 0 122.152 * * [simplify]: Extracting #2: cost 50 inf + 2 122.152 * * [simplify]: Extracting #3: cost 51 inf + 43 122.152 * * [simplify]: Extracting #4: cost 47 inf + 247 122.153 * * [simplify]: Extracting #5: cost 25 inf + 4572 122.156 * * [simplify]: Extracting #6: cost 4 inf + 9218 122.161 * * [simplify]: Extracting #7: cost 0 inf + 10185 122.165 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)) 122.165 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (sqrt a1)) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.165 * * * * [progress]: [ 335 / 614 ] simplifiying candidate # 122.165 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt 1) 1)) 122.166 * * [simplify]: iters left: 6 (11 enodes) 122.169 * * [simplify]: iters left: 5 (37 enodes) 122.175 * * [simplify]: iters left: 4 (41 enodes) 122.180 * * [simplify]: iters left: 3 (49 enodes) 122.187 * * [simplify]: iters left: 2 (61 enodes) 122.199 * * [simplify]: iters left: 1 (77 enodes) 122.219 * * [simplify]: Extracting #0: cost 1 inf + 0 122.219 * * [simplify]: Extracting #1: cost 8 inf + 0 122.219 * * [simplify]: Extracting #2: cost 14 inf + 1 122.220 * * [simplify]: Extracting #3: cost 15 inf + 2 122.220 * * [simplify]: Extracting #4: cost 11 inf + 207 122.220 * * [simplify]: Extracting #5: cost 1 inf + 1643 122.220 * * [simplify]: Extracting #6: cost 0 inf + 1865 122.221 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 122.221 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.221 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1)) 122.221 * * [simplify]: iters left: 6 (9 enodes) 122.224 * * [simplify]: iters left: 5 (33 enodes) 122.230 * * [simplify]: iters left: 4 (55 enodes) 122.239 * * [simplify]: iters left: 3 (74 enodes) 122.257 * * [simplify]: iters left: 2 (86 enodes) 122.277 * * [simplify]: iters left: 1 (101 enodes) 122.294 * * [simplify]: Extracting #0: cost 1 inf + 0 122.294 * * [simplify]: Extracting #1: cost 17 inf + 0 122.294 * * [simplify]: Extracting #2: cost 30 inf + 2 122.294 * * [simplify]: Extracting #3: cost 31 inf + 43 122.294 * * [simplify]: Extracting #4: cost 29 inf + 85 122.294 * * [simplify]: Extracting #5: cost 26 inf + 288 122.295 * * [simplify]: Extracting #6: cost 7 inf + 3846 122.296 * * [simplify]: Extracting #7: cost 0 inf + 5302 122.297 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 122.297 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.297 * * * * [progress]: [ 336 / 614 ] simplifiying candidate # 122.298 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 122.298 * * [simplify]: iters left: 6 (15 enodes) 122.302 * * [simplify]: iters left: 5 (57 enodes) 122.322 * * [simplify]: iters left: 4 (112 enodes) 122.367 * * [simplify]: iters left: 3 (268 enodes) 122.536 * * [simplify]: Extracting #0: cost 1 inf + 0 122.536 * * [simplify]: Extracting #1: cost 68 inf + 0 122.537 * * [simplify]: Extracting #2: cost 148 inf + 1 122.538 * * [simplify]: Extracting #3: cost 143 inf + 650 122.539 * * [simplify]: Extracting #4: cost 128 inf + 3614 122.543 * * [simplify]: Extracting #5: cost 26 inf + 40857 122.552 * * [simplify]: Extracting #6: cost 0 inf + 51945 122.562 * * [simplify]: Extracting #7: cost 0 inf + 51745 122.581 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) 122.581 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.581 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 122.581 * * [simplify]: iters left: 6 (11 enodes) 122.588 * * [simplify]: iters left: 5 (39 enodes) 122.601 * * [simplify]: iters left: 4 (60 enodes) 122.618 * * [simplify]: iters left: 3 (89 enodes) 122.634 * * [simplify]: iters left: 2 (137 enodes) 122.677 * * [simplify]: iters left: 1 (213 enodes) 122.741 * * [simplify]: Extracting #0: cost 1 inf + 0 122.741 * * [simplify]: Extracting #1: cost 35 inf + 0 122.742 * * [simplify]: Extracting #2: cost 66 inf + 83 122.742 * * [simplify]: Extracting #3: cost 65 inf + 406 122.742 * * [simplify]: Extracting #4: cost 64 inf + 407 122.743 * * [simplify]: Extracting #5: cost 50 inf + 3189 122.745 * * [simplify]: Extracting #6: cost 9 inf + 15558 122.748 * * [simplify]: Extracting #7: cost 0 inf + 18379 122.751 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 122.751 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (* a1 (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 122.751 * * * * [progress]: [ 337 / 614 ] simplifiying candidate # 122.752 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 122.752 * * [simplify]: iters left: 6 (14 enodes) 122.755 * * [simplify]: iters left: 5 (50 enodes) 122.766 * * [simplify]: iters left: 4 (82 enodes) 122.795 * * [simplify]: iters left: 3 (164 enodes) 122.863 * * [simplify]: iters left: 2 (370 enodes) 123.124 * * [simplify]: Extracting #0: cost 1 inf + 0 123.124 * * [simplify]: Extracting #1: cost 64 inf + 0 123.125 * * [simplify]: Extracting #2: cost 109 inf + 1 123.126 * * [simplify]: Extracting #3: cost 105 inf + 288 123.128 * * [simplify]: Extracting #4: cost 93 inf + 2086 123.138 * * [simplify]: Extracting #5: cost 29 inf + 22736 123.154 * * [simplify]: Extracting #6: cost 0 inf + 32947 123.170 * [simplify]: Simplified to (/ (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 123.170 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 123.170 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 123.171 * * [simplify]: iters left: 6 (11 enodes) 123.177 * * [simplify]: iters left: 5 (39 enodes) 123.190 * * [simplify]: iters left: 4 (60 enodes) 123.211 * * [simplify]: iters left: 3 (89 enodes) 123.240 * * [simplify]: iters left: 2 (137 enodes) 123.295 * * [simplify]: iters left: 1 (213 enodes) 123.374 * * [simplify]: Extracting #0: cost 1 inf + 0 123.374 * * [simplify]: Extracting #1: cost 35 inf + 0 123.375 * * [simplify]: Extracting #2: cost 66 inf + 43 123.375 * * [simplify]: Extracting #3: cost 65 inf + 246 123.375 * * [simplify]: Extracting #4: cost 64 inf + 247 123.376 * * [simplify]: Extracting #5: cost 50 inf + 2869 123.380 * * [simplify]: Extracting #6: cost 9 inf + 14198 123.383 * * [simplify]: Extracting #7: cost 0 inf + 16819 123.386 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 123.386 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (* a1 (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 123.386 * * * * [progress]: [ 338 / 614 ] simplifiying candidate # 123.386 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 123.387 * * [simplify]: iters left: 6 (12 enodes) 123.390 * * [simplify]: iters left: 5 (42 enodes) 123.398 * * [simplify]: iters left: 4 (68 enodes) 123.409 * * [simplify]: iters left: 3 (103 enodes) 123.427 * * [simplify]: iters left: 2 (153 enodes) 123.465 * * [simplify]: iters left: 1 (260 enodes) 123.567 * * [simplify]: Extracting #0: cost 1 inf + 0 123.568 * * [simplify]: Extracting #1: cost 25 inf + 0 123.568 * * [simplify]: Extracting #2: cost 46 inf + 1 123.568 * * [simplify]: Extracting #3: cost 46 inf + 63 123.568 * * [simplify]: Extracting #4: cost 37 inf + 1094 123.570 * * [simplify]: Extracting #5: cost 14 inf + 7656 123.572 * * [simplify]: Extracting #6: cost 1 inf + 11580 123.575 * * [simplify]: Extracting #7: cost 0 inf + 11942 123.578 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 123.578 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 123.578 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 123.578 * * [simplify]: iters left: 6 (10 enodes) 123.581 * * [simplify]: iters left: 5 (36 enodes) 123.588 * * [simplify]: iters left: 4 (57 enodes) 123.598 * * [simplify]: iters left: 3 (83 enodes) 123.626 * * [simplify]: iters left: 2 (110 enodes) 123.663 * * [simplify]: iters left: 1 (145 enodes) 123.703 * * [simplify]: Extracting #0: cost 1 inf + 0 123.703 * * [simplify]: Extracting #1: cost 28 inf + 0 123.703 * * [simplify]: Extracting #2: cost 46 inf + 2 123.704 * * [simplify]: Extracting #3: cost 47 inf + 43 123.704 * * [simplify]: Extracting #4: cost 45 inf + 85 123.704 * * [simplify]: Extracting #5: cost 32 inf + 2586 123.706 * * [simplify]: Extracting #6: cost 2 inf + 10172 123.708 * * [simplify]: Extracting #7: cost 0 inf + 10695 123.710 * [simplify]: Simplified to (/ (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 123.711 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 123.711 * * * * [progress]: [ 339 / 614 ] simplifiying candidate # 123.711 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 123.711 * * [simplify]: iters left: 6 (14 enodes) 123.717 * * [simplify]: iters left: 5 (50 enodes) 123.725 * * [simplify]: iters left: 4 (79 enodes) 123.747 * * [simplify]: iters left: 3 (137 enodes) 123.802 * * [simplify]: iters left: 2 (277 enodes) 123.939 * * [simplify]: Extracting #0: cost 1 inf + 0 123.939 * * [simplify]: Extracting #1: cost 61 inf + 0 123.940 * * [simplify]: Extracting #2: cost 107 inf + 1 123.941 * * [simplify]: Extracting #3: cost 106 inf + 64 123.942 * * [simplify]: Extracting #4: cost 89 inf + 2549 123.949 * * [simplify]: Extracting #5: cost 24 inf + 23069 123.962 * * [simplify]: Extracting #6: cost 0 inf + 31794 123.980 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt a1)) (/ (cos th) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 123.980 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt a1)) (/ (cos th) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 123.981 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 123.981 * * [simplify]: iters left: 6 (11 enodes) 123.987 * * [simplify]: iters left: 5 (39 enodes) 124.000 * * [simplify]: iters left: 4 (60 enodes) 124.020 * * [simplify]: iters left: 3 (89 enodes) 124.049 * * [simplify]: iters left: 2 (137 enodes) 124.102 * * [simplify]: iters left: 1 (213 enodes) 124.180 * * [simplify]: Extracting #0: cost 1 inf + 0 124.180 * * [simplify]: Extracting #1: cost 35 inf + 0 124.180 * * [simplify]: Extracting #2: cost 66 inf + 83 124.180 * * [simplify]: Extracting #3: cost 65 inf + 406 124.181 * * [simplify]: Extracting #4: cost 64 inf + 407 124.181 * * [simplify]: Extracting #5: cost 50 inf + 2949 124.183 * * [simplify]: Extracting #6: cost 9 inf + 14158 124.186 * * [simplify]: Extracting #7: cost 0 inf + 16739 124.190 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 124.190 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (* a1 (cbrt a1)) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 124.190 * * * * [progress]: [ 340 / 614 ] simplifiying candidate # 124.190 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 124.190 * * [simplify]: iters left: 6 (13 enodes) 124.198 * * [simplify]: iters left: 5 (45 enodes) 124.215 * * [simplify]: iters left: 4 (66 enodes) 124.233 * * [simplify]: iters left: 3 (96 enodes) 124.250 * * [simplify]: iters left: 2 (161 enodes) 124.316 * * [simplify]: iters left: 1 (303 enodes) 124.474 * * [simplify]: Extracting #0: cost 1 inf + 0 124.474 * * [simplify]: Extracting #1: cost 32 inf + 0 124.474 * * [simplify]: Extracting #2: cost 63 inf + 1 124.475 * * [simplify]: Extracting #3: cost 62 inf + 64 124.476 * * [simplify]: Extracting #4: cost 47 inf + 2087 124.480 * * [simplify]: Extracting #5: cost 10 inf + 12132 124.486 * * [simplify]: Extracting #6: cost 0 inf + 14874 124.490 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 124.490 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 124.490 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 124.491 * * [simplify]: iters left: 6 (11 enodes) 124.494 * * [simplify]: iters left: 5 (39 enodes) 124.500 * * [simplify]: iters left: 4 (60 enodes) 124.514 * * [simplify]: iters left: 3 (89 enodes) 124.533 * * [simplify]: iters left: 2 (137 enodes) 124.565 * * [simplify]: iters left: 1 (213 enodes) 124.655 * * [simplify]: Extracting #0: cost 1 inf + 0 124.655 * * [simplify]: Extracting #1: cost 35 inf + 0 124.655 * * [simplify]: Extracting #2: cost 66 inf + 43 124.655 * * [simplify]: Extracting #3: cost 65 inf + 246 124.656 * * [simplify]: Extracting #4: cost 64 inf + 247 125.058 * * [simplify]: Extracting #5: cost 50 inf + 2629 125.063 * * [simplify]: Extracting #6: cost 9 inf + 12798 125.069 * * [simplify]: Extracting #7: cost 0 inf + 15179 125.076 * [simplify]: Simplified to (/ (* a1 (sqrt a1)) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 125.076 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (* a1 (sqrt a1)) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 125.076 * * * * [progress]: [ 341 / 614 ] simplifiying candidate # 125.076 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) 1)) 125.076 * * [simplify]: iters left: 6 (11 enodes) 125.082 * * [simplify]: iters left: 5 (37 enodes) 125.095 * * [simplify]: iters left: 4 (48 enodes) 125.110 * * [simplify]: iters left: 3 (57 enodes) 125.125 * * [simplify]: iters left: 2 (72 enodes) 125.146 * * [simplify]: iters left: 1 (118 enodes) 125.169 * * [simplify]: Extracting #0: cost 1 inf + 0 125.169 * * [simplify]: Extracting #1: cost 16 inf + 0 125.169 * * [simplify]: Extracting #2: cost 29 inf + 1 125.169 * * [simplify]: Extracting #3: cost 29 inf + 63 125.169 * * [simplify]: Extracting #4: cost 26 inf + 166 125.170 * * [simplify]: Extracting #5: cost 17 inf + 1660 125.172 * * [simplify]: Extracting #6: cost 2 inf + 5308 125.174 * * [simplify]: Extracting #7: cost 0 inf + 5811 125.176 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) 125.176 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 125.177 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) 125.177 * * [simplify]: iters left: 6 (10 enodes) 125.182 * * [simplify]: iters left: 5 (36 enodes) 125.195 * * [simplify]: iters left: 4 (57 enodes) 125.214 * * [simplify]: iters left: 3 (83 enodes) 125.239 * * [simplify]: iters left: 2 (110 enodes) 125.261 * * [simplify]: iters left: 1 (145 enodes) 125.301 * * [simplify]: Extracting #0: cost 1 inf + 0 125.301 * * [simplify]: Extracting #1: cost 28 inf + 0 125.301 * * [simplify]: Extracting #2: cost 46 inf + 2 125.301 * * [simplify]: Extracting #3: cost 47 inf + 43 125.302 * * [simplify]: Extracting #4: cost 45 inf + 85 125.302 * * [simplify]: Extracting #5: cost 32 inf + 2346 125.304 * * [simplify]: Extracting #6: cost 2 inf + 9092 125.306 * * [simplify]: Extracting #7: cost 0 inf + 9535 125.308 * [simplify]: Simplified to (/ (/ (* a1 a1) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 125.308 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ (/ (* a1 a1) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 125.308 * * * * [progress]: [ 342 / 614 ] simplifiying candidate # 125.308 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ 1 (* (cbrt a1) (cbrt a1)))) 125.308 * * [simplify]: iters left: 6 (13 enodes) 125.312 * * [simplify]: iters left: 5 (47 enodes) 125.320 * * [simplify]: iters left: 4 (72 enodes) 125.335 * * [simplify]: iters left: 3 (117 enodes) 125.383 * * [simplify]: iters left: 2 (225 enodes) 125.517 * * [simplify]: iters left: 1 (406 enodes) 125.791 * * [simplify]: Extracting #0: cost 1 inf + 0 125.791 * * [simplify]: Extracting #1: cost 24 inf + 0 125.792 * * [simplify]: Extracting #2: cost 47 inf + 1 125.792 * * [simplify]: Extracting #3: cost 44 inf + 247 125.794 * * [simplify]: Extracting #4: cost 19 inf + 4212 125.799 * * [simplify]: Extracting #5: cost 2 inf + 9033 125.807 * * [simplify]: Extracting #6: cost 0 inf + 9618 125.811 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt 2))) (* (cos th) (cbrt a1))) 125.811 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (* (cos th) (cbrt a1))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 125.812 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 125.812 * * [simplify]: iters left: 6 (10 enodes) 125.815 * * [simplify]: iters left: 5 (36 enodes) 125.822 * * [simplify]: iters left: 4 (58 enodes) 125.832 * * [simplify]: iters left: 3 (80 enodes) 125.847 * * [simplify]: iters left: 2 (109 enodes) 125.881 * * [simplify]: iters left: 1 (147 enodes) 125.912 * * [simplify]: Extracting #0: cost 1 inf + 0 125.912 * * [simplify]: Extracting #1: cost 26 inf + 0 125.912 * * [simplify]: Extracting #2: cost 50 inf + 2 125.912 * * [simplify]: Extracting #3: cost 51 inf + 83 125.913 * * [simplify]: Extracting #4: cost 47 inf + 407 125.915 * * [simplify]: Extracting #5: cost 25 inf + 5132 125.918 * * [simplify]: Extracting #6: cost 4 inf + 10258 125.922 * * [simplify]: Extracting #7: cost 0 inf + 11345 125.926 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) 125.926 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (* (cos th) (cbrt a1))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 125.926 * * * * [progress]: [ 343 / 614 ] simplifiying candidate # 125.927 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ 1 (sqrt a1))) 125.927 * * [simplify]: iters left: 6 (12 enodes) 125.933 * * [simplify]: iters left: 5 (42 enodes) 125.942 * * [simplify]: iters left: 4 (59 enodes) 125.951 * * [simplify]: iters left: 3 (77 enodes) 125.964 * * [simplify]: iters left: 2 (121 enodes) 126.002 * * [simplify]: iters left: 1 (243 enodes) 126.159 * * [simplify]: Extracting #0: cost 1 inf + 0 126.159 * * [simplify]: Extracting #1: cost 16 inf + 0 126.159 * * [simplify]: Extracting #2: cost 31 inf + 1 126.159 * * [simplify]: Extracting #3: cost 29 inf + 125 126.159 * * [simplify]: Extracting #4: cost 20 inf + 840 126.160 * * [simplify]: Extracting #5: cost 3 inf + 4196 126.162 * * [simplify]: Extracting #6: cost 0 inf + 4782 126.163 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (sqrt 2))) (cos th)) 126.163 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (sqrt 2))) (cos th)) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.163 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 126.163 * * [simplify]: iters left: 6 (10 enodes) 126.167 * * [simplify]: iters left: 5 (36 enodes) 126.173 * * [simplify]: iters left: 4 (58 enodes) 126.191 * * [simplify]: iters left: 3 (80 enodes) 126.205 * * [simplify]: iters left: 2 (109 enodes) 126.225 * * [simplify]: iters left: 1 (147 enodes) 126.273 * * [simplify]: Extracting #0: cost 1 inf + 0 126.273 * * [simplify]: Extracting #1: cost 26 inf + 0 126.273 * * [simplify]: Extracting #2: cost 50 inf + 2 126.274 * * [simplify]: Extracting #3: cost 51 inf + 43 126.274 * * [simplify]: Extracting #4: cost 47 inf + 247 126.275 * * [simplify]: Extracting #5: cost 25 inf + 4572 126.278 * * [simplify]: Extracting #6: cost 4 inf + 9218 126.280 * * [simplify]: Extracting #7: cost 0 inf + 10185 126.282 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)) 126.282 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (sqrt 2))) (cos th)) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.282 * * * * [progress]: [ 344 / 614 ] simplifiying candidate # 126.282 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ 1 1)) 126.282 * * [simplify]: iters left: 6 (10 enodes) 126.285 * * [simplify]: iters left: 5 (32 enodes) 126.291 * * [simplify]: iters left: 4 (39 enodes) 126.300 * * [simplify]: iters left: 3 (48 enodes) 126.312 * * [simplify]: iters left: 2 (59 enodes) 126.321 * * [simplify]: iters left: 1 (73 enodes) 126.333 * * [simplify]: Extracting #0: cost 1 inf + 0 126.333 * * [simplify]: Extracting #1: cost 8 inf + 0 126.333 * * [simplify]: Extracting #2: cost 14 inf + 1 126.333 * * [simplify]: Extracting #3: cost 15 inf + 2 126.333 * * [simplify]: Extracting #4: cost 12 inf + 105 126.333 * * [simplify]: Extracting #5: cost 4 inf + 1037 126.334 * * [simplify]: Extracting #6: cost 0 inf + 1865 126.334 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 126.334 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.334 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1)) 126.334 * * [simplify]: iters left: 6 (9 enodes) 126.337 * * [simplify]: iters left: 5 (33 enodes) 126.348 * * [simplify]: iters left: 4 (55 enodes) 126.368 * * [simplify]: iters left: 3 (74 enodes) 126.391 * * [simplify]: iters left: 2 (86 enodes) 126.404 * * [simplify]: iters left: 1 (101 enodes) 126.421 * * [simplify]: Extracting #0: cost 1 inf + 0 126.421 * * [simplify]: Extracting #1: cost 17 inf + 0 126.421 * * [simplify]: Extracting #2: cost 30 inf + 2 126.421 * * [simplify]: Extracting #3: cost 31 inf + 43 126.422 * * [simplify]: Extracting #4: cost 29 inf + 85 126.422 * * [simplify]: Extracting #5: cost 26 inf + 288 126.423 * * [simplify]: Extracting #6: cost 7 inf + 3846 126.425 * * [simplify]: Extracting #7: cost 0 inf + 5302 126.427 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 126.427 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.428 * * * * [progress]: [ 345 / 614 ] simplifiying candidate # 126.428 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) 1) 126.428 * * [simplify]: iters left: 6 (9 enodes) 126.433 * * [simplify]: iters left: 5 (29 enodes) 126.444 * * [simplify]: iters left: 4 (38 enodes) 126.456 * * [simplify]: iters left: 3 (47 enodes) 126.470 * * [simplify]: iters left: 2 (58 enodes) 126.488 * * [simplify]: iters left: 1 (72 enodes) 126.513 * * [simplify]: Extracting #0: cost 1 inf + 0 126.513 * * [simplify]: Extracting #1: cost 8 inf + 0 126.513 * * [simplify]: Extracting #2: cost 14 inf + 1 126.513 * * [simplify]: Extracting #3: cost 15 inf + 2 126.514 * * [simplify]: Extracting #4: cost 10 inf + 268 126.514 * * [simplify]: Extracting #5: cost 1 inf + 1643 126.515 * * [simplify]: Extracting #6: cost 0 inf + 1865 126.516 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 126.516 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.516 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (sqrt 2)) a1)) 126.516 * * [simplify]: iters left: 6 (9 enodes) 126.520 * * [simplify]: iters left: 5 (33 enodes) 126.526 * * [simplify]: iters left: 4 (55 enodes) 126.536 * * [simplify]: iters left: 3 (74 enodes) 126.547 * * [simplify]: iters left: 2 (86 enodes) 126.565 * * [simplify]: iters left: 1 (101 enodes) 126.592 * * [simplify]: Extracting #0: cost 1 inf + 0 126.592 * * [simplify]: Extracting #1: cost 17 inf + 0 126.592 * * [simplify]: Extracting #2: cost 30 inf + 2 126.592 * * [simplify]: Extracting #3: cost 31 inf + 43 126.592 * * [simplify]: Extracting #4: cost 29 inf + 85 126.593 * * [simplify]: Extracting #5: cost 26 inf + 288 126.593 * * [simplify]: Extracting #6: cost 7 inf + 3846 126.594 * * [simplify]: Extracting #7: cost 0 inf + 5302 126.595 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 126.595 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.595 * * * * [progress]: [ 346 / 614 ] simplifiying candidate # 126.596 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (cbrt (sqrt 2))) 126.596 * * [simplify]: iters left: 6 (9 enodes) 126.598 * * [simplify]: iters left: 5 (31 enodes) 126.605 * * [simplify]: iters left: 4 (37 enodes) 126.611 * * [simplify]: iters left: 3 (41 enodes) 126.617 * * [simplify]: iters left: 2 (46 enodes) 126.624 * * [simplify]: iters left: 1 (64 enodes) 126.644 * * [simplify]: Extracting #0: cost 1 inf + 0 126.644 * * [simplify]: Extracting #1: cost 10 inf + 0 126.644 * * [simplify]: Extracting #2: cost 18 inf + 1 126.644 * * [simplify]: Extracting #3: cost 19 inf + 2 126.644 * * [simplify]: Extracting #4: cost 15 inf + 166 126.645 * * [simplify]: Extracting #5: cost 6 inf + 1640 126.646 * * [simplify]: Extracting #6: cost 0 inf + 3031 126.647 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 126.647 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.647 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ 1 a1)) 126.648 * * [simplify]: iters left: 6 (9 enodes) 126.653 * * [simplify]: iters left: 5 (33 enodes) 126.665 * * [simplify]: iters left: 4 (50 enodes) 126.682 * * [simplify]: iters left: 3 (66 enodes) 126.702 * * [simplify]: iters left: 2 (85 enodes) 126.730 * * [simplify]: iters left: 1 (103 enodes) 126.749 * * [simplify]: Extracting #0: cost 1 inf + 0 126.749 * * [simplify]: Extracting #1: cost 12 inf + 0 126.749 * * [simplify]: Extracting #2: cost 19 inf + 2 126.749 * * [simplify]: Extracting #3: cost 19 inf + 85 126.750 * * [simplify]: Extracting #4: cost 14 inf + 333 126.750 * * [simplify]: Extracting #5: cost 8 inf + 1022 126.750 * * [simplify]: Extracting #6: cost 0 inf + 2519 126.751 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 126.751 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (cbrt (sqrt 2))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.751 * * * * [progress]: [ 347 / 614 ] simplifiying candidate # 126.752 * [simplify]: Simplifying (/ (/ (cos th) 1) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 126.752 * * [simplify]: iters left: 6 (12 enodes) 126.755 * * [simplify]: iters left: 5 (40 enodes) 126.761 * * [simplify]: iters left: 4 (48 enodes) 126.771 * * [simplify]: iters left: 3 (53 enodes) 126.786 * * [simplify]: iters left: 2 (54 enodes) 126.799 * * [simplify]: Extracting #0: cost 1 inf + 0 126.799 * * [simplify]: Extracting #1: cost 7 inf + 0 126.800 * * [simplify]: Extracting #2: cost 12 inf + 1 126.800 * * [simplify]: Extracting #3: cost 12 inf + 124 126.800 * * [simplify]: Extracting #4: cost 13 inf + 125 126.800 * * [simplify]: Extracting #5: cost 15 inf + 125 126.800 * * [simplify]: Extracting #6: cost 12 inf + 208 126.800 * * [simplify]: Extracting #7: cost 10 inf + 450 126.801 * * [simplify]: Extracting #8: cost 6 inf + 1258 126.801 * * [simplify]: Extracting #9: cost 3 inf + 2266 126.802 * * [simplify]: Extracting #10: cost 0 inf + 3274 126.803 * [simplify]: Simplified to (/ (cos th) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 126.803 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.803 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1))) 126.804 * * [simplify]: iters left: 6 (11 enodes) 126.810 * * [simplify]: iters left: 5 (39 enodes) 126.823 * * [simplify]: iters left: 4 (63 enodes) 126.840 * * [simplify]: iters left: 3 (93 enodes) 126.855 * * [simplify]: iters left: 2 (134 enodes) 126.887 * * [simplify]: iters left: 1 (181 enodes) 126.959 * * [simplify]: Extracting #0: cost 1 inf + 0 126.959 * * [simplify]: Extracting #1: cost 26 inf + 0 126.959 * * [simplify]: Extracting #2: cost 45 inf + 2 126.960 * * [simplify]: Extracting #3: cost 47 inf + 2 126.960 * * [simplify]: Extracting #4: cost 46 inf + 3 126.961 * * [simplify]: Extracting #5: cost 33 inf + 1944 126.964 * * [simplify]: Extracting #6: cost 8 inf + 9480 126.968 * * [simplify]: Extracting #7: cost 0 inf + 11940 126.973 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1))) 126.973 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 126.973 * * * * [progress]: [ 348 / 614 ] simplifiying candidate # 126.974 * [simplify]: Simplifying (/ (/ (cos th) 1) (sqrt (/ (cbrt (sqrt 2)) a1))) 126.974 * * [simplify]: iters left: 6 (11 enodes) 126.980 * * [simplify]: iters left: 5 (35 enodes) 126.991 * * [simplify]: iters left: 4 (39 enodes) 127.004 * * [simplify]: iters left: 3 (42 enodes) 127.015 * * [simplify]: Extracting #0: cost 1 inf + 0 127.015 * * [simplify]: Extracting #1: cost 5 inf + 0 127.016 * * [simplify]: Extracting #2: cost 8 inf + 1 127.016 * * [simplify]: Extracting #3: cost 10 inf + 2 127.016 * * [simplify]: Extracting #4: cost 10 inf + 64 127.016 * * [simplify]: Extracting #5: cost 11 inf + 125 127.016 * * [simplify]: Extracting #6: cost 9 inf + 167 127.016 * * [simplify]: Extracting #7: cost 3 inf + 976 127.017 * * [simplify]: Extracting #8: cost 0 inf + 1784 127.017 * [simplify]: Simplified to (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) a1))) 127.017 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.018 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 127.018 * * [simplify]: iters left: 6 (11 enodes) 127.024 * * [simplify]: iters left: 5 (39 enodes) 127.037 * * [simplify]: iters left: 4 (63 enodes) 127.058 * * [simplify]: iters left: 3 (93 enodes) 127.091 * * [simplify]: iters left: 2 (134 enodes) 127.125 * * [simplify]: iters left: 1 (181 enodes) 127.169 * * [simplify]: Extracting #0: cost 1 inf + 0 127.170 * * [simplify]: Extracting #1: cost 26 inf + 0 127.170 * * [simplify]: Extracting #2: cost 45 inf + 2 127.170 * * [simplify]: Extracting #3: cost 47 inf + 2 127.170 * * [simplify]: Extracting #4: cost 46 inf + 3 127.171 * * [simplify]: Extracting #5: cost 33 inf + 1904 127.172 * * [simplify]: Extracting #6: cost 8 inf + 8600 127.175 * * [simplify]: Extracting #7: cost 0 inf + 10740 127.177 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 127.177 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.177 * * * * [progress]: [ 349 / 614 ] simplifiying candidate # 127.177 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 127.177 * * [simplify]: iters left: 6 (14 enodes) 127.181 * * [simplify]: iters left: 5 (48 enodes) 127.189 * * [simplify]: iters left: 4 (67 enodes) 127.204 * * [simplify]: iters left: 3 (101 enodes) 127.237 * * [simplify]: iters left: 2 (153 enodes) 127.268 * * [simplify]: iters left: 1 (215 enodes) 127.326 * * [simplify]: Extracting #0: cost 1 inf + 0 127.327 * * [simplify]: Extracting #1: cost 21 inf + 0 127.327 * * [simplify]: Extracting #2: cost 42 inf + 1 127.327 * * [simplify]: Extracting #3: cost 42 inf + 3 127.327 * * [simplify]: Extracting #4: cost 31 inf + 1744 127.328 * * [simplify]: Extracting #5: cost 27 inf + 2818 127.329 * * [simplify]: Extracting #6: cost 19 inf + 4229 127.331 * * [simplify]: Extracting #7: cost 1 inf + 10867 127.333 * * [simplify]: Extracting #8: cost 0 inf + 11229 127.335 * [simplify]: Simplified to (* (cos th) (/ (cbrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) 127.336 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (/ (cbrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.336 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 127.336 * * [simplify]: iters left: 6 (12 enodes) 127.341 * * [simplify]: iters left: 5 (44 enodes) 127.349 * * [simplify]: iters left: 4 (76 enodes) 127.363 * * [simplify]: iters left: 3 (148 enodes) 127.418 * * [simplify]: iters left: 2 (295 enodes) 127.582 * * [simplify]: Extracting #0: cost 1 inf + 0 127.582 * * [simplify]: Extracting #1: cost 58 inf + 0 127.584 * * [simplify]: Extracting #2: cost 101 inf + 125 127.584 * * [simplify]: Extracting #3: cost 100 inf + 448 127.586 * * [simplify]: Extracting #4: cost 88 inf + 2506 127.590 * * [simplify]: Extracting #5: cost 24 inf + 21433 127.596 * * [simplify]: Extracting #6: cost 0 inf + 29408 127.603 * [simplify]: Simplified to (/ (/ (* (cbrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 127.604 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (/ (cbrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt a1)))) (/ (/ (* (cbrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.604 * * * * [progress]: [ 350 / 614 ] simplifiying candidate # 127.604 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 127.604 * * [simplify]: iters left: 6 (13 enodes) 127.608 * * [simplify]: iters left: 5 (43 enodes) 127.615 * * [simplify]: iters left: 4 (54 enodes) 127.626 * * [simplify]: iters left: 3 (72 enodes) 127.646 * * [simplify]: iters left: 2 (88 enodes) 127.670 * * [simplify]: iters left: 1 (107 enodes) 127.688 * * [simplify]: Extracting #0: cost 1 inf + 0 127.688 * * [simplify]: Extracting #1: cost 14 inf + 0 127.688 * * [simplify]: Extracting #2: cost 26 inf + 1 127.688 * * [simplify]: Extracting #3: cost 26 inf + 3 127.688 * * [simplify]: Extracting #4: cost 22 inf + 492 127.689 * * [simplify]: Extracting #5: cost 20 inf + 859 127.689 * * [simplify]: Extracting #6: cost 18 inf + 901 127.690 * * [simplify]: Extracting #7: cost 10 inf + 2672 127.692 * * [simplify]: Extracting #8: cost 1 inf + 5511 127.694 * * [simplify]: Extracting #9: cost 0 inf + 5853 127.696 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 127.696 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.696 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 127.697 * * [simplify]: iters left: 6 (12 enodes) 127.703 * * [simplify]: iters left: 5 (44 enodes) 127.721 * * [simplify]: iters left: 4 (76 enodes) 127.748 * * [simplify]: iters left: 3 (148 enodes) 127.800 * * [simplify]: iters left: 2 (295 enodes) 127.927 * * [simplify]: Extracting #0: cost 1 inf + 0 127.927 * * [simplify]: Extracting #1: cost 58 inf + 0 127.928 * * [simplify]: Extracting #2: cost 101 inf + 85 127.928 * * [simplify]: Extracting #3: cost 100 inf + 288 127.930 * * [simplify]: Extracting #4: cost 88 inf + 2186 127.936 * * [simplify]: Extracting #5: cost 24 inf + 19673 127.947 * * [simplify]: Extracting #6: cost 0 inf + 27248 127.958 * [simplify]: Simplified to (/ (/ (* (sqrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 127.958 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (* (sqrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 127.958 * * * * [progress]: [ 351 / 614 ] simplifiying candidate # 127.959 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 127.959 * * [simplify]: iters left: 6 (11 enodes) 127.968 * * [simplify]: iters left: 5 (35 enodes) 127.980 * * [simplify]: iters left: 4 (41 enodes) 127.990 * * [simplify]: iters left: 3 (54 enodes) 127.998 * * [simplify]: iters left: 2 (65 enodes) 128.007 * * [simplify]: iters left: 1 (75 enodes) 128.018 * * [simplify]: Extracting #0: cost 1 inf + 0 128.018 * * [simplify]: Extracting #1: cost 8 inf + 0 128.019 * * [simplify]: Extracting #2: cost 14 inf + 1 128.019 * * [simplify]: Extracting #3: cost 14 inf + 63 128.019 * * [simplify]: Extracting #4: cost 13 inf + 328 128.019 * * [simplify]: Extracting #5: cost 15 inf + 328 128.020 * * [simplify]: Extracting #6: cost 12 inf + 411 128.020 * * [simplify]: Extracting #7: cost 8 inf + 975 128.021 * * [simplify]: Extracting #8: cost 4 inf + 2182 128.022 * * [simplify]: Extracting #9: cost 0 inf + 3389 128.024 * [simplify]: Simplified to (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 128.024 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 128.024 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 128.025 * * [simplify]: iters left: 6 (11 enodes) 128.031 * * [simplify]: iters left: 5 (41 enodes) 128.045 * * [simplify]: iters left: 4 (73 enodes) 128.071 * * [simplify]: iters left: 3 (142 enodes) 128.104 * * [simplify]: iters left: 2 (257 enodes) 128.208 * * [simplify]: iters left: 1 (463 enodes) 128.404 * * [simplify]: Extracting #0: cost 1 inf + 0 128.404 * * [simplify]: Extracting #1: cost 41 inf + 0 128.405 * * [simplify]: Extracting #2: cost 79 inf + 2 128.406 * * [simplify]: Extracting #3: cost 79 inf + 84 128.406 * * [simplify]: Extracting #4: cost 78 inf + 85 128.408 * * [simplify]: Extracting #5: cost 54 inf + 5008 128.415 * * [simplify]: Extracting #6: cost 12 inf + 16251 128.425 * * [simplify]: Extracting #7: cost 0 inf + 19874 128.438 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))) 128.438 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 128.438 * * * * [progress]: [ 352 / 614 ] simplifiying candidate # 128.438 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 128.439 * * [simplify]: iters left: 6 (14 enodes) 128.446 * * [simplify]: iters left: 5 (49 enodes) 128.461 * * [simplify]: iters left: 4 (68 enodes) 128.477 * * [simplify]: iters left: 3 (102 enodes) 128.494 * * [simplify]: iters left: 2 (154 enodes) 128.545 * * [simplify]: iters left: 1 (215 enodes) 128.603 * * [simplify]: Extracting #0: cost 1 inf + 0 128.637 * * [simplify]: Extracting #1: cost 21 inf + 0 128.638 * * [simplify]: Extracting #2: cost 42 inf + 1 128.638 * * [simplify]: Extracting #3: cost 43 inf + 3 128.638 * * [simplify]: Extracting #4: cost 36 inf + 1097 128.640 * * [simplify]: Extracting #5: cost 22 inf + 3420 128.643 * * [simplify]: Extracting #6: cost 2 inf + 9644 128.647 * * [simplify]: Extracting #7: cost 0 inf + 10429 128.651 * [simplify]: Simplified to (* (cbrt a1) (* (cos th) (/ (cbrt a1) (cbrt (fabs (cbrt 2)))))) 128.651 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (* (cos th) (/ (cbrt a1) (cbrt (fabs (cbrt 2)))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 128.652 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 128.652 * * [simplify]: iters left: 6 (14 enodes) 128.660 * * [simplify]: iters left: 5 (50 enodes) 128.681 * * [simplify]: iters left: 4 (82 enodes) 128.711 * * [simplify]: iters left: 3 (154 enodes) 128.778 * * [simplify]: iters left: 2 (297 enodes) 128.976 * * [simplify]: Extracting #0: cost 1 inf + 0 128.976 * * [simplify]: Extracting #1: cost 61 inf + 0 128.977 * * [simplify]: Extracting #2: cost 107 inf + 44 128.977 * * [simplify]: Extracting #3: cost 107 inf + 448 128.978 * * [simplify]: Extracting #4: cost 95 inf + 2627 128.981 * * [simplify]: Extracting #5: cost 34 inf + 23181 128.987 * * [simplify]: Extracting #6: cost 0 inf + 36299 128.996 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1) (cbrt (sqrt (cbrt 2)))) 128.996 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (* (cos th) (/ (cbrt a1) (cbrt (fabs (cbrt 2)))))) (/ (* (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 128.996 * * * * [progress]: [ 353 / 614 ] simplifiying candidate # 128.996 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 128.996 * * [simplify]: iters left: 6 (13 enodes) 129.000 * * [simplify]: iters left: 5 (44 enodes) 129.012 * * [simplify]: iters left: 4 (55 enodes) 129.029 * * [simplify]: iters left: 3 (73 enodes) 129.042 * * [simplify]: iters left: 2 (89 enodes) 129.054 * * [simplify]: iters left: 1 (108 enodes) 129.074 * * [simplify]: Extracting #0: cost 1 inf + 0 129.074 * * [simplify]: Extracting #1: cost 14 inf + 0 129.074 * * [simplify]: Extracting #2: cost 26 inf + 1 129.074 * * [simplify]: Extracting #3: cost 27 inf + 3 129.075 * * [simplify]: Extracting #4: cost 23 inf + 533 129.075 * * [simplify]: Extracting #5: cost 18 inf + 941 129.076 * * [simplify]: Extracting #6: cost 10 inf + 2573 129.077 * * [simplify]: Extracting #7: cost 1 inf + 5051 129.079 * * [simplify]: Extracting #8: cost 0 inf + 5333 129.081 * [simplify]: Simplified to (/ (* (sqrt a1) (cos th)) (cbrt (fabs (cbrt 2)))) 129.081 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cos th)) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 129.081 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 129.081 * * [simplify]: iters left: 6 (14 enodes) 129.089 * * [simplify]: iters left: 5 (50 enodes) 129.107 * * [simplify]: iters left: 4 (82 enodes) 129.122 * * [simplify]: iters left: 3 (154 enodes) 129.171 * * [simplify]: iters left: 2 (297 enodes) 129.315 * * [simplify]: Extracting #0: cost 1 inf + 0 129.316 * * [simplify]: Extracting #1: cost 61 inf + 0 129.316 * * [simplify]: Extracting #2: cost 107 inf + 44 129.316 * * [simplify]: Extracting #3: cost 107 inf + 288 129.317 * * [simplify]: Extracting #4: cost 95 inf + 2307 129.320 * * [simplify]: Extracting #5: cost 34 inf + 21621 129.334 * * [simplify]: Extracting #6: cost 0 inf + 34059 129.348 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1) (cbrt (sqrt (cbrt 2)))) 129.348 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cos th)) (cbrt (fabs (cbrt 2)))) (/ (* (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 129.348 * * * * [progress]: [ 354 / 614 ] simplifiying candidate # 129.348 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 129.349 * * [simplify]: iters left: 6 (11 enodes) 129.355 * * [simplify]: iters left: 5 (36 enodes) 129.362 * * [simplify]: iters left: 4 (42 enodes) 129.370 * * [simplify]: iters left: 3 (55 enodes) 129.377 * * [simplify]: iters left: 2 (66 enodes) 129.386 * * [simplify]: iters left: 1 (76 enodes) 129.404 * * [simplify]: Extracting #0: cost 1 inf + 0 129.404 * * [simplify]: Extracting #1: cost 8 inf + 0 129.404 * * [simplify]: Extracting #2: cost 14 inf + 1 129.404 * * [simplify]: Extracting #3: cost 16 inf + 2 129.404 * * [simplify]: Extracting #4: cost 16 inf + 226 129.405 * * [simplify]: Extracting #5: cost 13 inf + 410 129.405 * * [simplify]: Extracting #6: cost 6 inf + 1377 129.406 * * [simplify]: Extracting #7: cost 3 inf + 2223 129.407 * * [simplify]: Extracting #8: cost 0 inf + 3069 129.408 * [simplify]: Simplified to (/ (cos th) (cbrt (fabs (cbrt 2)))) 129.408 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 129.409 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) 129.409 * * [simplify]: iters left: 6 (13 enodes) 129.416 * * [simplify]: iters left: 5 (47 enodes) 129.431 * * [simplify]: iters left: 4 (79 enodes) 129.460 * * [simplify]: iters left: 3 (148 enodes) 129.518 * * [simplify]: iters left: 2 (259 enodes) 129.626 * * [simplify]: iters left: 1 (455 enodes) 129.872 * * [simplify]: Extracting #0: cost 1 inf + 0 129.872 * * [simplify]: Extracting #1: cost 41 inf + 0 129.873 * * [simplify]: Extracting #2: cost 80 inf + 43 129.873 * * [simplify]: Extracting #3: cost 83 inf + 84 129.874 * * [simplify]: Extracting #4: cost 82 inf + 166 129.874 * * [simplify]: Extracting #5: cost 58 inf + 4166 129.878 * * [simplify]: Extracting #6: cost 16 inf + 18248 129.883 * * [simplify]: Extracting #7: cost 0 inf + 25000 129.889 * [simplify]: Simplified to (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) 129.889 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 129.889 * * * * [progress]: [ 355 / 614 ] simplifiying candidate # 129.889 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 129.890 * * [simplify]: iters left: 6 (13 enodes) 129.893 * * [simplify]: iters left: 5 (45 enodes) 129.911 * * [simplify]: iters left: 4 (64 enodes) 129.933 * * [simplify]: iters left: 3 (98 enodes) 129.967 * * [simplify]: iters left: 2 (150 enodes) 130.018 * * [simplify]: iters left: 1 (210 enodes) 130.102 * * [simplify]: Extracting #0: cost 1 inf + 0 130.102 * * [simplify]: Extracting #1: cost 21 inf + 0 130.103 * * [simplify]: Extracting #2: cost 42 inf + 1 130.103 * * [simplify]: Extracting #3: cost 42 inf + 3 130.103 * * [simplify]: Extracting #4: cost 35 inf + 1200 130.104 * * [simplify]: Extracting #5: cost 17 inf + 4211 130.105 * * [simplify]: Extracting #6: cost 4 inf + 8079 130.107 * * [simplify]: Extracting #7: cost 0 inf + 9227 130.109 * [simplify]: Simplified to (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) 130.109 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 130.110 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 130.110 * * [simplify]: iters left: 6 (13 enodes) 130.113 * * [simplify]: iters left: 5 (47 enodes) 130.122 * * [simplify]: iters left: 4 (79 enodes) 130.150 * * [simplify]: iters left: 3 (151 enodes) 130.197 * * [simplify]: iters left: 2 (294 enodes) 130.329 * * [simplify]: Extracting #0: cost 1 inf + 0 130.330 * * [simplify]: Extracting #1: cost 60 inf + 0 130.330 * * [simplify]: Extracting #2: cost 107 inf + 2 130.331 * * [simplify]: Extracting #3: cost 105 inf + 448 130.331 * * [simplify]: Extracting #4: cost 91 inf + 2668 130.334 * * [simplify]: Extracting #5: cost 30 inf + 20751 130.340 * * [simplify]: Extracting #6: cost 0 inf + 31175 130.351 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 130.351 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 130.351 * * * * [progress]: [ 356 / 614 ] simplifiying candidate # 130.352 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 130.352 * * [simplify]: iters left: 6 (12 enodes) 130.358 * * [simplify]: iters left: 5 (40 enodes) 130.371 * * [simplify]: iters left: 4 (51 enodes) 130.391 * * [simplify]: iters left: 3 (69 enodes) 130.410 * * [simplify]: iters left: 2 (85 enodes) 130.433 * * [simplify]: iters left: 1 (104 enodes) 130.462 * * [simplify]: Extracting #0: cost 1 inf + 0 130.463 * * [simplify]: Extracting #1: cost 14 inf + 0 130.463 * * [simplify]: Extracting #2: cost 26 inf + 1 130.463 * * [simplify]: Extracting #3: cost 26 inf + 3 130.463 * * [simplify]: Extracting #4: cost 21 inf + 473 130.464 * * [simplify]: Extracting #5: cost 15 inf + 942 130.464 * * [simplify]: Extracting #6: cost 7 inf + 2536 130.466 * * [simplify]: Extracting #7: cost 0 inf + 4411 130.468 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) 130.468 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 130.468 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 130.468 * * [simplify]: iters left: 6 (13 enodes) 130.475 * * [simplify]: iters left: 5 (47 enodes) 130.492 * * [simplify]: iters left: 4 (79 enodes) 130.520 * * [simplify]: iters left: 3 (151 enodes) 130.561 * * [simplify]: iters left: 2 (294 enodes) 130.743 * * [simplify]: Extracting #0: cost 1 inf + 0 130.743 * * [simplify]: Extracting #1: cost 60 inf + 0 130.744 * * [simplify]: Extracting #2: cost 107 inf + 2 130.745 * * [simplify]: Extracting #3: cost 105 inf + 288 130.746 * * [simplify]: Extracting #4: cost 91 inf + 2388 130.753 * * [simplify]: Extracting #5: cost 30 inf + 19031 130.765 * * [simplify]: Extracting #6: cost 0 inf + 28935 130.777 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 130.777 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 130.777 * * * * [progress]: [ 357 / 614 ] simplifiying candidate # 130.778 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) 1)) 130.778 * * [simplify]: iters left: 6 (10 enodes) 130.783 * * [simplify]: iters left: 5 (32 enodes) 130.793 * * [simplify]: iters left: 4 (38 enodes) 130.800 * * [simplify]: iters left: 3 (51 enodes) 130.810 * * [simplify]: iters left: 2 (62 enodes) 130.819 * * [simplify]: iters left: 1 (72 enodes) 130.837 * * [simplify]: Extracting #0: cost 1 inf + 0 130.837 * * [simplify]: Extracting #1: cost 8 inf + 0 130.838 * * [simplify]: Extracting #2: cost 14 inf + 1 130.838 * * [simplify]: Extracting #3: cost 15 inf + 2 130.838 * * [simplify]: Extracting #4: cost 15 inf + 165 130.838 * * [simplify]: Extracting #5: cost 11 inf + 370 130.839 * * [simplify]: Extracting #6: cost 2 inf + 1823 130.840 * * [simplify]: Extracting #7: cost 0 inf + 2347 130.841 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2)))) 130.841 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 130.841 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 130.841 * * [simplify]: iters left: 6 (12 enodes) 130.848 * * [simplify]: iters left: 5 (44 enodes) 130.864 * * [simplify]: iters left: 4 (76 enodes) 130.885 * * [simplify]: iters left: 3 (145 enodes) 130.924 * * [simplify]: iters left: 2 (262 enodes) 131.055 * * [simplify]: iters left: 1 (461 enodes) 131.310 * * [simplify]: Extracting #0: cost 1 inf + 0 131.310 * * [simplify]: Extracting #1: cost 41 inf + 0 131.310 * * [simplify]: Extracting #2: cost 80 inf + 43 131.311 * * [simplify]: Extracting #3: cost 82 inf + 84 131.312 * * [simplify]: Extracting #4: cost 81 inf + 85 131.313 * * [simplify]: Extracting #5: cost 60 inf + 3680 131.319 * * [simplify]: Extracting #6: cost 16 inf + 15884 131.329 * * [simplify]: Extracting #7: cost 0 inf + 21399 131.340 * [simplify]: Simplified to (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 131.340 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 131.340 * * * * [progress]: [ 358 / 614 ] simplifiying candidate # 131.341 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 131.341 * * [simplify]: iters left: 6 (11 enodes) 131.348 * * [simplify]: iters left: 5 (39 enodes) 131.359 * * [simplify]: iters left: 4 (56 enodes) 131.378 * * [simplify]: iters left: 3 (79 enodes) 131.390 * * [simplify]: iters left: 2 (94 enodes) 131.401 * * [simplify]: iters left: 1 (106 enodes) 131.413 * * [simplify]: Extracting #0: cost 1 inf + 0 131.413 * * [simplify]: Extracting #1: cost 11 inf + 0 131.413 * * [simplify]: Extracting #2: cost 20 inf + 1 131.413 * * [simplify]: Extracting #3: cost 15 inf + 267 131.413 * * [simplify]: Extracting #4: cost 1 inf + 2516 131.414 * * [simplify]: Extracting #5: cost 0 inf + 2555 131.414 * [simplify]: Simplified to (* (* (cos th) (cbrt a1)) (cbrt a1)) 131.414 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cos th) (cbrt a1)) (cbrt a1)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 131.415 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 131.415 * * [simplify]: iters left: 6 (11 enodes) 131.418 * * [simplify]: iters left: 5 (41 enodes) 131.433 * * [simplify]: iters left: 4 (73 enodes) 131.459 * * [simplify]: iters left: 3 (137 enodes) 131.504 * * [simplify]: iters left: 2 (247 enodes) 131.596 * * [simplify]: iters left: 1 (374 enodes) 131.807 * * [simplify]: Extracting #0: cost 1 inf + 0 131.807 * * [simplify]: Extracting #1: cost 55 inf + 0 131.807 * * [simplify]: Extracting #2: cost 121 inf + 83 131.808 * * [simplify]: Extracting #3: cost 115 inf + 410 131.809 * * [simplify]: Extracting #4: cost 84 inf + 8068 131.813 * * [simplify]: Extracting #5: cost 13 inf + 31614 131.819 * * [simplify]: Extracting #6: cost 0 inf + 35960 131.824 * [simplify]: Simplified to (/ (cbrt a1) (/ (sqrt 2) a1)) 131.824 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cos th) (cbrt a1)) (cbrt a1)) (/ (cbrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 131.824 * * * * [progress]: [ 359 / 614 ] simplifiying candidate # 131.825 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt 1)) (sqrt a1))) 131.825 * * [simplify]: iters left: 6 (10 enodes) 131.829 * * [simplify]: iters left: 5 (34 enodes) 131.838 * * [simplify]: iters left: 4 (42 enodes) 131.849 * * [simplify]: Extracting #0: cost 1 inf + 0 131.849 * * [simplify]: Extracting #1: cost 6 inf + 0 131.849 * * [simplify]: Extracting #2: cost 10 inf + 1 131.850 * * [simplify]: Extracting #3: cost 4 inf + 249 131.850 * * [simplify]: Extracting #4: cost 0 inf + 655 131.850 * [simplify]: Simplified to (* (cos th) (sqrt a1)) 131.850 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 131.851 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 131.851 * * [simplify]: iters left: 6 (11 enodes) 131.857 * * [simplify]: iters left: 5 (41 enodes) 131.872 * * [simplify]: iters left: 4 (73 enodes) 131.898 * * [simplify]: iters left: 3 (137 enodes) 131.962 * * [simplify]: iters left: 2 (247 enodes) 132.068 * * [simplify]: iters left: 1 (374 enodes) 132.268 * * [simplify]: Extracting #0: cost 1 inf + 0 132.268 * * [simplify]: Extracting #1: cost 55 inf + 0 132.269 * * [simplify]: Extracting #2: cost 121 inf + 43 132.270 * * [simplify]: Extracting #3: cost 115 inf + 250 132.272 * * [simplify]: Extracting #4: cost 84 inf + 7588 132.279 * * [simplify]: Extracting #5: cost 13 inf + 29494 132.288 * * [simplify]: Extracting #6: cost 0 inf + 33520 132.298 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt 2) a1)) 132.298 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (sqrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 132.298 * * * * [progress]: [ 360 / 614 ] simplifiying candidate # 132.299 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt 1)) 1)) 132.299 * * [simplify]: iters left: 6 (8 enodes) 132.307 * * [simplify]: iters left: 5 (26 enodes) 132.310 * * [simplify]: iters left: 4 (28 enodes) 132.313 * * [simplify]: Extracting #0: cost 1 inf + 0 132.313 * * [simplify]: Extracting #1: cost 4 inf + 0 132.313 * * [simplify]: Extracting #2: cost 2 inf + 2 132.313 * * [simplify]: Extracting #3: cost 1 inf + 63 132.313 * * [simplify]: Extracting #4: cost 0 inf + 124 132.313 * [simplify]: Simplified to (cos th) 132.313 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 132.313 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 132.313 * * [simplify]: iters left: 6 (10 enodes) 132.316 * * [simplify]: iters left: 5 (38 enodes) 132.324 * * [simplify]: iters left: 4 (70 enodes) 132.338 * * [simplify]: iters left: 3 (131 enodes) 132.382 * * [simplify]: iters left: 2 (208 enodes) 132.475 * * [simplify]: iters left: 1 (267 enodes) 132.589 * * [simplify]: Extracting #0: cost 1 inf + 0 132.589 * * [simplify]: Extracting #1: cost 38 inf + 0 132.590 * * [simplify]: Extracting #2: cost 72 inf + 43 132.591 * * [simplify]: Extracting #3: cost 68 inf + 88 132.591 * * [simplify]: Extracting #4: cost 64 inf + 293 132.594 * * [simplify]: Extracting #5: cost 23 inf + 11280 132.600 * * [simplify]: Extracting #6: cost 1 inf + 17966 132.606 * * [simplify]: Extracting #7: cost 0 inf + 18128 132.613 * [simplify]: Simplified to (/ (* a1 a1) (sqrt 2)) 132.613 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 132.614 * * * * [progress]: [ 361 / 614 ] simplifiying candidate # 132.615 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 132.615 * * [simplify]: iters left: 6 (13 enodes) 132.621 * * [simplify]: iters left: 5 (45 enodes) 132.636 * * [simplify]: iters left: 4 (64 enodes) 132.659 * * [simplify]: iters left: 3 (98 enodes) 132.691 * * [simplify]: iters left: 2 (150 enodes) 132.718 * * [simplify]: iters left: 1 (210 enodes) 132.810 * * [simplify]: Extracting #0: cost 1 inf + 0 132.810 * * [simplify]: Extracting #1: cost 21 inf + 0 132.811 * * [simplify]: Extracting #2: cost 42 inf + 1 132.812 * * [simplify]: Extracting #3: cost 42 inf + 3 132.812 * * [simplify]: Extracting #4: cost 35 inf + 1200 132.814 * * [simplify]: Extracting #5: cost 17 inf + 4211 132.817 * * [simplify]: Extracting #6: cost 4 inf + 8079 132.820 * * [simplify]: Extracting #7: cost 0 inf + 9227 132.824 * [simplify]: Simplified to (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) 132.824 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 132.825 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 132.825 * * [simplify]: iters left: 6 (13 enodes) 132.832 * * [simplify]: iters left: 5 (47 enodes) 132.848 * * [simplify]: iters left: 4 (79 enodes) 132.875 * * [simplify]: iters left: 3 (151 enodes) 132.910 * * [simplify]: iters left: 2 (294 enodes) 133.030 * * [simplify]: Extracting #0: cost 1 inf + 0 133.030 * * [simplify]: Extracting #1: cost 60 inf + 0 133.031 * * [simplify]: Extracting #2: cost 107 inf + 2 133.031 * * [simplify]: Extracting #3: cost 105 inf + 448 133.032 * * [simplify]: Extracting #4: cost 91 inf + 2668 133.037 * * [simplify]: Extracting #5: cost 30 inf + 20751 133.048 * * [simplify]: Extracting #6: cost 0 inf + 31175 133.060 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 133.060 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (cbrt (sqrt (sqrt 2)))) (cos th)) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 133.061 * * * * [progress]: [ 362 / 614 ] simplifiying candidate # 133.061 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 133.061 * * [simplify]: iters left: 6 (12 enodes) 133.067 * * [simplify]: iters left: 5 (40 enodes) 133.080 * * [simplify]: iters left: 4 (51 enodes) 133.096 * * [simplify]: iters left: 3 (69 enodes) 133.116 * * [simplify]: iters left: 2 (85 enodes) 133.143 * * [simplify]: iters left: 1 (104 enodes) 133.168 * * [simplify]: Extracting #0: cost 1 inf + 0 133.168 * * [simplify]: Extracting #1: cost 14 inf + 0 133.168 * * [simplify]: Extracting #2: cost 26 inf + 1 133.168 * * [simplify]: Extracting #3: cost 26 inf + 3 133.168 * * [simplify]: Extracting #4: cost 21 inf + 473 133.168 * * [simplify]: Extracting #5: cost 15 inf + 942 133.169 * * [simplify]: Extracting #6: cost 7 inf + 2536 133.169 * * [simplify]: Extracting #7: cost 0 inf + 4411 133.170 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) 133.170 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 133.171 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 133.171 * * [simplify]: iters left: 6 (13 enodes) 133.174 * * [simplify]: iters left: 5 (47 enodes) 133.183 * * [simplify]: iters left: 4 (79 enodes) 133.200 * * [simplify]: iters left: 3 (151 enodes) 133.237 * * [simplify]: iters left: 2 (294 enodes) 133.403 * * [simplify]: Extracting #0: cost 1 inf + 0 133.404 * * [simplify]: Extracting #1: cost 60 inf + 0 133.405 * * [simplify]: Extracting #2: cost 107 inf + 2 133.406 * * [simplify]: Extracting #3: cost 105 inf + 288 133.407 * * [simplify]: Extracting #4: cost 91 inf + 2388 133.413 * * [simplify]: Extracting #5: cost 30 inf + 19031 133.424 * * [simplify]: Extracting #6: cost 0 inf + 28935 133.437 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 133.437 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 133.437 * * * * [progress]: [ 363 / 614 ] simplifiying candidate # 133.438 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (sqrt (sqrt 2))) 1)) 133.438 * * [simplify]: iters left: 6 (10 enodes) 133.443 * * [simplify]: iters left: 5 (32 enodes) 133.454 * * [simplify]: iters left: 4 (38 enodes) 133.467 * * [simplify]: iters left: 3 (51 enodes) 133.481 * * [simplify]: iters left: 2 (62 enodes) 133.498 * * [simplify]: iters left: 1 (72 enodes) 133.511 * * [simplify]: Extracting #0: cost 1 inf + 0 133.511 * * [simplify]: Extracting #1: cost 8 inf + 0 133.511 * * [simplify]: Extracting #2: cost 14 inf + 1 133.511 * * [simplify]: Extracting #3: cost 15 inf + 2 133.511 * * [simplify]: Extracting #4: cost 15 inf + 165 133.511 * * [simplify]: Extracting #5: cost 11 inf + 370 133.512 * * [simplify]: Extracting #6: cost 2 inf + 1823 133.514 * * [simplify]: Extracting #7: cost 0 inf + 2347 133.515 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2)))) 133.515 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 133.515 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 133.515 * * [simplify]: iters left: 6 (12 enodes) 133.519 * * [simplify]: iters left: 5 (44 enodes) 133.527 * * [simplify]: iters left: 4 (76 enodes) 133.541 * * [simplify]: iters left: 3 (145 enodes) 133.601 * * [simplify]: iters left: 2 (262 enodes) 133.752 * * [simplify]: iters left: 1 (461 enodes) 134.076 * * [simplify]: Extracting #0: cost 1 inf + 0 134.076 * * [simplify]: Extracting #1: cost 41 inf + 0 134.077 * * [simplify]: Extracting #2: cost 80 inf + 43 134.078 * * [simplify]: Extracting #3: cost 82 inf + 84 134.078 * * [simplify]: Extracting #4: cost 81 inf + 85 134.079 * * [simplify]: Extracting #5: cost 60 inf + 3680 134.082 * * [simplify]: Extracting #6: cost 16 inf + 15884 134.087 * * [simplify]: Extracting #7: cost 0 inf + 21399 134.092 * [simplify]: Simplified to (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 134.092 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt (sqrt 2)))) (/ (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 134.092 * * * * [progress]: [ 364 / 614 ] simplifiying candidate # 134.092 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 134.092 * * [simplify]: iters left: 6 (10 enodes) 134.095 * * [simplify]: iters left: 5 (36 enodes) 134.102 * * [simplify]: iters left: 4 (53 enodes) 134.114 * * [simplify]: iters left: 3 (76 enodes) 134.135 * * [simplify]: iters left: 2 (91 enodes) 134.160 * * [simplify]: iters left: 1 (103 enodes) 134.170 * * [simplify]: Extracting #0: cost 1 inf + 0 134.170 * * [simplify]: Extracting #1: cost 11 inf + 0 134.170 * * [simplify]: Extracting #2: cost 20 inf + 1 134.170 * * [simplify]: Extracting #3: cost 16 inf + 125 134.171 * * [simplify]: Extracting #4: cost 4 inf + 1888 134.171 * * [simplify]: Extracting #5: cost 0 inf + 2555 134.172 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt a1)) (cos th)) 134.172 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (cos th)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 134.172 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 134.172 * * [simplify]: iters left: 6 (11 enodes) 134.175 * * [simplify]: iters left: 5 (41 enodes) 134.183 * * [simplify]: iters left: 4 (73 enodes) 134.202 * * [simplify]: iters left: 3 (137 enodes) 134.263 * * [simplify]: iters left: 2 (247 enodes) 134.368 * * [simplify]: iters left: 1 (374 enodes) 134.589 * * [simplify]: Extracting #0: cost 1 inf + 0 134.589 * * [simplify]: Extracting #1: cost 55 inf + 0 134.590 * * [simplify]: Extracting #2: cost 121 inf + 83 134.591 * * [simplify]: Extracting #3: cost 115 inf + 410 134.593 * * [simplify]: Extracting #4: cost 84 inf + 8068 134.601 * * [simplify]: Extracting #5: cost 13 inf + 31614 134.612 * * [simplify]: Extracting #6: cost 0 inf + 35960 134.626 * [simplify]: Simplified to (/ (cbrt a1) (/ (sqrt 2) a1)) 134.626 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (cos th)) (/ (cbrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 134.627 * * * * [progress]: [ 365 / 614 ] simplifiying candidate # 134.627 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt 1) (sqrt a1))) 134.627 * * [simplify]: iters left: 5 (9 enodes) 134.632 * * [simplify]: iters left: 4 (31 enodes) 134.642 * * [simplify]: iters left: 3 (39 enodes) 134.652 * * [simplify]: Extracting #0: cost 1 inf + 0 134.652 * * [simplify]: Extracting #1: cost 6 inf + 0 134.652 * * [simplify]: Extracting #2: cost 10 inf + 1 134.652 * * [simplify]: Extracting #3: cost 4 inf + 249 134.652 * * [simplify]: Extracting #4: cost 1 inf + 594 134.653 * * [simplify]: Extracting #5: cost 0 inf + 655 134.653 * [simplify]: Simplified to (* (cos th) (sqrt a1)) 134.653 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 134.653 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 134.653 * * [simplify]: iters left: 6 (11 enodes) 134.657 * * [simplify]: iters left: 5 (41 enodes) 134.664 * * [simplify]: iters left: 4 (73 enodes) 134.679 * * [simplify]: iters left: 3 (137 enodes) 134.712 * * [simplify]: iters left: 2 (247 enodes) 134.795 * * [simplify]: iters left: 1 (374 enodes) 135.037 * * [simplify]: Extracting #0: cost 1 inf + 0 135.037 * * [simplify]: Extracting #1: cost 55 inf + 0 135.038 * * [simplify]: Extracting #2: cost 121 inf + 43 135.039 * * [simplify]: Extracting #3: cost 115 inf + 250 135.041 * * [simplify]: Extracting #4: cost 84 inf + 7588 135.045 * * [simplify]: Extracting #5: cost 13 inf + 29494 135.051 * * [simplify]: Extracting #6: cost 0 inf + 33520 135.059 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt 2) a1)) 135.059 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (sqrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 135.059 * * * * [progress]: [ 366 / 614 ] simplifiying candidate # 135.059 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt 1) 1)) 135.059 * * [simplify]: iters left: 5 (7 enodes) 135.062 * * [simplify]: iters left: 4 (23 enodes) 135.065 * * [simplify]: iters left: 3 (25 enodes) 135.067 * * [simplify]: Extracting #0: cost 1 inf + 0 135.067 * * [simplify]: Extracting #1: cost 4 inf + 0 135.067 * * [simplify]: Extracting #2: cost 2 inf + 2 135.067 * * [simplify]: Extracting #3: cost 1 inf + 63 135.068 * * [simplify]: Extracting #4: cost 0 inf + 124 135.068 * [simplify]: Simplified to (cos th) 135.068 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 135.068 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 135.068 * * [simplify]: iters left: 6 (10 enodes) 135.072 * * [simplify]: iters left: 5 (38 enodes) 135.086 * * [simplify]: iters left: 4 (70 enodes) 135.112 * * [simplify]: iters left: 3 (131 enodes) 135.166 * * [simplify]: iters left: 2 (208 enodes) 135.229 * * [simplify]: iters left: 1 (267 enodes) 135.342 * * [simplify]: Extracting #0: cost 1 inf + 0 135.342 * * [simplify]: Extracting #1: cost 38 inf + 0 135.343 * * [simplify]: Extracting #2: cost 72 inf + 43 135.343 * * [simplify]: Extracting #3: cost 68 inf + 88 135.344 * * [simplify]: Extracting #4: cost 64 inf + 293 135.349 * * [simplify]: Extracting #5: cost 23 inf + 11280 135.355 * * [simplify]: Extracting #6: cost 1 inf + 17966 135.361 * * [simplify]: Extracting #7: cost 0 inf + 18128 135.367 * [simplify]: Simplified to (/ (* a1 a1) (sqrt 2)) 135.367 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 135.367 * * * * [progress]: [ 367 / 614 ] simplifiying candidate # 135.368 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 135.368 * * [simplify]: iters left: 6 (14 enodes) 135.373 * * [simplify]: iters left: 5 (52 enodes) 135.383 * * [simplify]: iters left: 4 (93 enodes) 135.401 * * [simplify]: iters left: 3 (171 enodes) 135.448 * * [simplify]: iters left: 2 (295 enodes) 135.557 * * [simplify]: iters left: 1 (446 enodes) 135.784 * * [simplify]: Extracting #0: cost 1 inf + 0 135.785 * * [simplify]: Extracting #1: cost 32 inf + 0 135.785 * * [simplify]: Extracting #2: cost 64 inf + 1 135.786 * * [simplify]: Extracting #3: cost 64 inf + 3 135.787 * * [simplify]: Extracting #4: cost 52 inf + 1785 135.788 * * [simplify]: Extracting #5: cost 36 inf + 5093 135.795 * * [simplify]: Extracting #6: cost 6 inf + 16122 135.804 * * [simplify]: Extracting #7: cost 0 inf + 18559 135.813 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) 135.813 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 135.813 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 135.813 * * [simplify]: iters left: 6 (12 enodes) 135.820 * * [simplify]: iters left: 5 (44 enodes) 135.836 * * [simplify]: iters left: 4 (76 enodes) 135.853 * * [simplify]: iters left: 3 (148 enodes) 135.907 * * [simplify]: iters left: 2 (295 enodes) 136.025 * * [simplify]: Extracting #0: cost 1 inf + 0 136.025 * * [simplify]: Extracting #1: cost 58 inf + 0 136.026 * * [simplify]: Extracting #2: cost 101 inf + 125 136.027 * * [simplify]: Extracting #3: cost 100 inf + 448 136.028 * * [simplify]: Extracting #4: cost 88 inf + 2506 136.034 * * [simplify]: Extracting #5: cost 24 inf + 21433 136.045 * * [simplify]: Extracting #6: cost 0 inf + 29408 136.051 * [simplify]: Simplified to (/ (/ (* (cbrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 136.051 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ (* (cbrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 136.051 * * * * [progress]: [ 368 / 614 ] simplifiying candidate # 136.051 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 136.051 * * [simplify]: iters left: 6 (13 enodes) 136.055 * * [simplify]: iters left: 5 (45 enodes) 136.062 * * [simplify]: iters left: 4 (65 enodes) 136.073 * * [simplify]: iters left: 3 (105 enodes) 136.099 * * [simplify]: iters left: 2 (149 enodes) 136.131 * * [simplify]: iters left: 1 (194 enodes) 136.163 * * [simplify]: Extracting #0: cost 1 inf + 0 136.164 * * [simplify]: Extracting #1: cost 19 inf + 0 136.164 * * [simplify]: Extracting #2: cost 37 inf + 1 136.164 * * [simplify]: Extracting #3: cost 37 inf + 3 136.164 * * [simplify]: Extracting #4: cost 36 inf + 146 136.164 * * [simplify]: Extracting #5: cost 27 inf + 901 136.165 * * [simplify]: Extracting #6: cost 17 inf + 3136 136.166 * * [simplify]: Extracting #7: cost 0 inf + 8672 136.168 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2))))) 136.168 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 136.168 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 136.168 * * [simplify]: iters left: 6 (12 enodes) 136.171 * * [simplify]: iters left: 5 (44 enodes) 136.187 * * [simplify]: iters left: 4 (76 enodes) 136.213 * * [simplify]: iters left: 3 (148 enodes) 136.277 * * [simplify]: iters left: 2 (295 enodes) 136.412 * * [simplify]: Extracting #0: cost 1 inf + 0 136.413 * * [simplify]: Extracting #1: cost 58 inf + 0 136.414 * * [simplify]: Extracting #2: cost 101 inf + 85 136.415 * * [simplify]: Extracting #3: cost 100 inf + 288 136.416 * * [simplify]: Extracting #4: cost 88 inf + 2186 136.421 * * [simplify]: Extracting #5: cost 24 inf + 19673 136.433 * * [simplify]: Extracting #6: cost 0 inf + 27248 136.444 * [simplify]: Simplified to (/ (/ (* (sqrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 136.444 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cos th) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (sqrt a1) a1) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 136.445 * * * * [progress]: [ 369 / 614 ] simplifiying candidate # 136.445 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 136.445 * * [simplify]: iters left: 6 (11 enodes) 136.452 * * [simplify]: iters left: 5 (37 enodes) 136.468 * * [simplify]: iters left: 4 (57 enodes) 136.489 * * [simplify]: iters left: 3 (84 enodes) 136.512 * * [simplify]: iters left: 2 (108 enodes) 136.529 * * [simplify]: iters left: 1 (131 enodes) 136.561 * * [simplify]: Extracting #0: cost 1 inf + 0 136.561 * * [simplify]: Extracting #1: cost 12 inf + 0 136.561 * * [simplify]: Extracting #2: cost 22 inf + 1 136.561 * * [simplify]: Extracting #3: cost 23 inf + 2 136.561 * * [simplify]: Extracting #4: cost 21 inf + 328 136.561 * * [simplify]: Extracting #5: cost 19 inf + 370 136.562 * * [simplify]: Extracting #6: cost 8 inf + 2786 136.563 * * [simplify]: Extracting #7: cost 0 inf + 5161 136.564 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 136.564 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 136.564 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 136.564 * * [simplify]: iters left: 6 (11 enodes) 136.568 * * [simplify]: iters left: 5 (41 enodes) 136.576 * * [simplify]: iters left: 4 (73 enodes) 136.590 * * [simplify]: iters left: 3 (142 enodes) 136.636 * * [simplify]: iters left: 2 (257 enodes) 136.774 * * [simplify]: iters left: 1 (463 enodes) 137.081 * * [simplify]: Extracting #0: cost 1 inf + 0 137.081 * * [simplify]: Extracting #1: cost 41 inf + 0 137.082 * * [simplify]: Extracting #2: cost 79 inf + 2 137.083 * * [simplify]: Extracting #3: cost 79 inf + 84 137.084 * * [simplify]: Extracting #4: cost 78 inf + 85 137.085 * * [simplify]: Extracting #5: cost 54 inf + 5008 137.092 * * [simplify]: Extracting #6: cost 12 inf + 16251 137.102 * * [simplify]: Extracting #7: cost 0 inf + 19874 137.112 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))) 137.112 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 137.112 * * * * [progress]: [ 370 / 614 ] simplifiying candidate # 137.113 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 137.113 * * [simplify]: iters left: 6 (13 enodes) 137.120 * * [simplify]: iters left: 5 (45 enodes) 137.134 * * [simplify]: iters left: 4 (64 enodes) 137.157 * * [simplify]: iters left: 3 (98 enodes) 137.190 * * [simplify]: iters left: 2 (150 enodes) 137.218 * * [simplify]: iters left: 1 (210 enodes) 137.292 * * [simplify]: Extracting #0: cost 1 inf + 0 137.292 * * [simplify]: Extracting #1: cost 21 inf + 0 137.292 * * [simplify]: Extracting #2: cost 42 inf + 1 137.293 * * [simplify]: Extracting #3: cost 42 inf + 3 137.293 * * [simplify]: Extracting #4: cost 35 inf + 1200 137.294 * * [simplify]: Extracting #5: cost 17 inf + 4251 137.295 * * [simplify]: Extracting #6: cost 4 inf + 8159 137.297 * * [simplify]: Extracting #7: cost 0 inf + 9307 137.299 * [simplify]: Simplified to (* (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (cos th)) 137.299 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (cos th)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 137.299 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 137.300 * * [simplify]: iters left: 6 (12 enodes) 137.304 * * [simplify]: iters left: 5 (44 enodes) 137.319 * * [simplify]: iters left: 4 (76 enodes) 137.346 * * [simplify]: iters left: 3 (148 enodes) 137.398 * * [simplify]: iters left: 2 (295 enodes) 137.596 * * [simplify]: Extracting #0: cost 1 inf + 0 137.596 * * [simplify]: Extracting #1: cost 58 inf + 0 137.597 * * [simplify]: Extracting #2: cost 101 inf + 125 137.598 * * [simplify]: Extracting #3: cost 100 inf + 448 137.599 * * [simplify]: Extracting #4: cost 88 inf + 2466 137.605 * * [simplify]: Extracting #5: cost 24 inf + 19833 137.616 * * [simplify]: Extracting #6: cost 0 inf + 26968 137.627 * [simplify]: Simplified to (/ (/ (* (cbrt a1) a1) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 137.627 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt a1) (cbrt a1)) (sqrt (cbrt (sqrt 2)))) (cos th)) (/ (/ (* (cbrt a1) a1) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 137.627 * * * * [progress]: [ 371 / 614 ] simplifiying candidate # 137.628 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 137.628 * * [simplify]: iters left: 6 (12 enodes) 137.634 * * [simplify]: iters left: 5 (40 enodes) 137.647 * * [simplify]: iters left: 4 (51 enodes) 137.663 * * [simplify]: iters left: 3 (69 enodes) 137.673 * * [simplify]: iters left: 2 (85 enodes) 137.684 * * [simplify]: iters left: 1 (104 enodes) 137.714 * * [simplify]: Extracting #0: cost 1 inf + 0 137.714 * * [simplify]: Extracting #1: cost 14 inf + 0 137.714 * * [simplify]: Extracting #2: cost 26 inf + 1 137.714 * * [simplify]: Extracting #3: cost 26 inf + 3 137.714 * * [simplify]: Extracting #4: cost 21 inf + 473 137.715 * * [simplify]: Extracting #5: cost 16 inf + 901 137.715 * * [simplify]: Extracting #6: cost 7 inf + 2616 137.716 * * [simplify]: Extracting #7: cost 0 inf + 4491 137.717 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (sqrt (cbrt (sqrt 2)))) 137.717 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 137.717 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 137.717 * * [simplify]: iters left: 6 (12 enodes) 137.720 * * [simplify]: iters left: 5 (44 enodes) 137.728 * * [simplify]: iters left: 4 (76 enodes) 137.742 * * [simplify]: iters left: 3 (148 enodes) 137.797 * * [simplify]: iters left: 2 (295 enodes) 137.944 * * [simplify]: Extracting #0: cost 1 inf + 0 137.944 * * [simplify]: Extracting #1: cost 58 inf + 0 137.944 * * [simplify]: Extracting #2: cost 101 inf + 85 137.945 * * [simplify]: Extracting #3: cost 100 inf + 288 137.945 * * [simplify]: Extracting #4: cost 88 inf + 2146 137.948 * * [simplify]: Extracting #5: cost 24 inf + 18073 137.954 * * [simplify]: Extracting #6: cost 0 inf + 24808 137.959 * [simplify]: Simplified to (/ (/ (* (sqrt a1) a1) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 137.960 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ (* (sqrt a1) a1) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 137.960 * * * * [progress]: [ 372 / 614 ] simplifiying candidate # 137.960 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (sqrt (cbrt (sqrt 2))) 1)) 137.960 * * [simplify]: iters left: 6 (10 enodes) 137.963 * * [simplify]: iters left: 5 (32 enodes) 137.971 * * [simplify]: iters left: 4 (38 enodes) 137.985 * * [simplify]: iters left: 3 (51 enodes) 138.000 * * [simplify]: iters left: 2 (62 enodes) 138.013 * * [simplify]: iters left: 1 (72 enodes) 138.024 * * [simplify]: Extracting #0: cost 1 inf + 0 138.025 * * [simplify]: Extracting #1: cost 8 inf + 0 138.025 * * [simplify]: Extracting #2: cost 14 inf + 1 138.025 * * [simplify]: Extracting #3: cost 15 inf + 2 138.025 * * [simplify]: Extracting #4: cost 15 inf + 165 138.025 * * [simplify]: Extracting #5: cost 11 inf + 370 138.025 * * [simplify]: Extracting #6: cost 2 inf + 1903 138.026 * * [simplify]: Extracting #7: cost 0 inf + 2427 138.026 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2)))) 138.027 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 138.027 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) 138.027 * * [simplify]: iters left: 6 (11 enodes) 138.030 * * [simplify]: iters left: 5 (41 enodes) 138.040 * * [simplify]: iters left: 4 (73 enodes) 138.053 * * [simplify]: iters left: 3 (142 enodes) 138.084 * * [simplify]: iters left: 2 (257 enodes) 138.231 * * [simplify]: iters left: 1 (463 enodes) 138.559 * * [simplify]: Extracting #0: cost 1 inf + 0 138.559 * * [simplify]: Extracting #1: cost 41 inf + 0 138.559 * * [simplify]: Extracting #2: cost 79 inf + 2 138.560 * * [simplify]: Extracting #3: cost 79 inf + 84 138.560 * * [simplify]: Extracting #4: cost 78 inf + 85 138.561 * * [simplify]: Extracting #5: cost 54 inf + 4728 138.564 * * [simplify]: Extracting #6: cost 12 inf + 14771 138.569 * * [simplify]: Extracting #7: cost 0 inf + 17914 138.575 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))) 138.575 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (/ a1 (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 138.575 * * * * [progress]: [ 373 / 614 ] simplifiying candidate # 138.575 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ 1 (* (cbrt a1) (cbrt a1)))) 138.575 * * [simplify]: iters left: 6 (9 enodes) 138.578 * * [simplify]: iters left: 5 (32 enodes) 138.583 * * [simplify]: iters left: 4 (47 enodes) 138.591 * * [simplify]: iters left: 3 (60 enodes) 138.599 * * [simplify]: iters left: 2 (69 enodes) 138.614 * * [simplify]: iters left: 1 (86 enodes) 138.639 * * [simplify]: Extracting #0: cost 1 inf + 0 138.639 * * [simplify]: Extracting #1: cost 11 inf + 0 138.639 * * [simplify]: Extracting #2: cost 20 inf + 1 138.639 * * [simplify]: Extracting #3: cost 10 inf + 896 138.640 * * [simplify]: Extracting #4: cost 0 inf + 2555 138.640 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt a1)) (cos th)) 138.640 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (cos th)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 138.641 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 138.641 * * [simplify]: iters left: 6 (11 enodes) 138.646 * * [simplify]: iters left: 5 (41 enodes) 138.654 * * [simplify]: iters left: 4 (73 enodes) 138.668 * * [simplify]: iters left: 3 (137 enodes) 138.728 * * [simplify]: iters left: 2 (247 enodes) 138.809 * * [simplify]: iters left: 1 (374 enodes) 138.990 * * [simplify]: Extracting #0: cost 1 inf + 0 138.990 * * [simplify]: Extracting #1: cost 55 inf + 0 138.991 * * [simplify]: Extracting #2: cost 121 inf + 83 138.992 * * [simplify]: Extracting #3: cost 115 inf + 410 138.994 * * [simplify]: Extracting #4: cost 84 inf + 8068 139.002 * * [simplify]: Extracting #5: cost 13 inf + 31614 139.014 * * [simplify]: Extracting #6: cost 0 inf + 35960 139.025 * [simplify]: Simplified to (/ (cbrt a1) (/ (sqrt 2) a1)) 139.025 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (cos th)) (/ (cbrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.025 * * * * [progress]: [ 374 / 614 ] simplifiying candidate # 139.025 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ 1 (sqrt a1))) 139.025 * * [simplify]: iters left: 5 (8 enodes) 139.028 * * [simplify]: iters left: 4 (27 enodes) 139.032 * * [simplify]: iters left: 3 (34 enodes) 139.037 * * [simplify]: iters left: 2 (36 enodes) 139.044 * * [simplify]: iters left: 1 (39 enodes) 139.049 * * [simplify]: Extracting #0: cost 1 inf + 0 139.049 * * [simplify]: Extracting #1: cost 7 inf + 0 139.049 * * [simplify]: Extracting #2: cost 12 inf + 1 139.049 * * [simplify]: Extracting #3: cost 9 inf + 44 139.049 * * [simplify]: Extracting #4: cost 3 inf + 513 139.049 * * [simplify]: Extracting #5: cost 0 inf + 859 139.050 * [simplify]: Simplified to (* (cos th) (sqrt a1)) 139.050 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.050 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 139.050 * * [simplify]: iters left: 6 (11 enodes) 139.053 * * [simplify]: iters left: 5 (41 enodes) 139.061 * * [simplify]: iters left: 4 (73 enodes) 139.086 * * [simplify]: iters left: 3 (137 enodes) 139.131 * * [simplify]: iters left: 2 (247 enodes) 139.231 * * [simplify]: iters left: 1 (374 enodes) 139.437 * * [simplify]: Extracting #0: cost 1 inf + 0 139.437 * * [simplify]: Extracting #1: cost 55 inf + 0 139.438 * * [simplify]: Extracting #2: cost 121 inf + 43 139.438 * * [simplify]: Extracting #3: cost 115 inf + 250 139.439 * * [simplify]: Extracting #4: cost 84 inf + 7588 139.446 * * [simplify]: Extracting #5: cost 13 inf + 29494 139.456 * * [simplify]: Extracting #6: cost 0 inf + 33520 139.465 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt 2) a1)) 139.466 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (sqrt a1)) (/ (sqrt a1) (/ (sqrt 2) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.466 * * * * [progress]: [ 375 / 614 ] simplifiying candidate # 139.466 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ 1 1)) 139.466 * * [simplify]: iters left: 5 (6 enodes) 139.469 * * [simplify]: iters left: 4 (16 enodes) 139.473 * * [simplify]: iters left: 3 (18 enodes) 139.477 * * [simplify]: Extracting #0: cost 1 inf + 0 139.477 * * [simplify]: Extracting #1: cost 4 inf + 0 139.477 * * [simplify]: Extracting #2: cost 2 inf + 2 139.477 * * [simplify]: Extracting #3: cost 0 inf + 124 139.477 * [simplify]: Simplified to (cos th) 139.477 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.477 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 139.477 * * [simplify]: iters left: 6 (10 enodes) 139.487 * * [simplify]: iters left: 5 (38 enodes) 139.500 * * [simplify]: iters left: 4 (70 enodes) 139.525 * * [simplify]: iters left: 3 (131 enodes) 139.578 * * [simplify]: iters left: 2 (208 enodes) 139.634 * * [simplify]: iters left: 1 (267 enodes) 139.717 * * [simplify]: Extracting #0: cost 1 inf + 0 139.717 * * [simplify]: Extracting #1: cost 38 inf + 0 139.717 * * [simplify]: Extracting #2: cost 72 inf + 43 139.718 * * [simplify]: Extracting #3: cost 68 inf + 88 139.718 * * [simplify]: Extracting #4: cost 64 inf + 293 139.719 * * [simplify]: Extracting #5: cost 23 inf + 11280 139.722 * * [simplify]: Extracting #6: cost 1 inf + 17966 139.725 * * [simplify]: Extracting #7: cost 0 inf + 18128 139.728 * [simplify]: Simplified to (/ (* a1 a1) (sqrt 2)) 139.728 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.728 * * * * [progress]: [ 376 / 614 ] simplifiying candidate # 139.729 * [simplify]: Simplifying (/ (/ (cos th) 1) 1) 139.729 * * [simplify]: iters left: 5 (5 enodes) 139.730 * * [simplify]: iters left: 4 (13 enodes) 139.734 * * [simplify]: iters left: 3 (17 enodes) 139.737 * * [simplify]: Extracting #0: cost 1 inf + 0 139.737 * * [simplify]: Extracting #1: cost 4 inf + 0 139.737 * * [simplify]: Extracting #2: cost 2 inf + 2 139.737 * * [simplify]: Extracting #3: cost 1 inf + 63 139.737 * * [simplify]: Extracting #4: cost 0 inf + 124 139.737 * [simplify]: Simplified to (cos th) 139.737 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.737 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 139.737 * * [simplify]: iters left: 6 (10 enodes) 139.740 * * [simplify]: iters left: 5 (38 enodes) 139.748 * * [simplify]: iters left: 4 (70 enodes) 139.760 * * [simplify]: iters left: 3 (131 enodes) 139.794 * * [simplify]: iters left: 2 (208 enodes) 139.865 * * [simplify]: iters left: 1 (267 enodes) 139.973 * * [simplify]: Extracting #0: cost 1 inf + 0 139.973 * * [simplify]: Extracting #1: cost 38 inf + 0 139.973 * * [simplify]: Extracting #2: cost 72 inf + 43 139.974 * * [simplify]: Extracting #3: cost 68 inf + 88 139.974 * * [simplify]: Extracting #4: cost 64 inf + 293 139.976 * * [simplify]: Extracting #5: cost 23 inf + 11280 139.979 * * [simplify]: Extracting #6: cost 1 inf + 17966 139.982 * * [simplify]: Extracting #7: cost 0 inf + 18128 139.987 * [simplify]: Simplified to (/ (* a1 a1) (sqrt 2)) 139.987 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (cos th) (/ (* a1 a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 139.987 * * * * [progress]: [ 377 / 614 ] simplifiying candidate # 139.987 * [simplify]: Simplifying (/ (/ (cos th) 1) (cbrt (sqrt 2))) 139.987 * * [simplify]: iters left: 5 (8 enodes) 139.990 * * [simplify]: iters left: 4 (26 enodes) 139.995 * * [simplify]: iters left: 3 (30 enodes) 140.001 * * [simplify]: iters left: 2 (33 enodes) 140.011 * * [simplify]: Extracting #0: cost 1 inf + 0 140.011 * * [simplify]: Extracting #1: cost 5 inf + 0 140.011 * * [simplify]: Extracting #2: cost 8 inf + 1 140.011 * * [simplify]: Extracting #3: cost 9 inf + 2 140.011 * * [simplify]: Extracting #4: cost 6 inf + 125 140.011 * * [simplify]: Extracting #5: cost 3 inf + 328 140.011 * * [simplify]: Extracting #6: cost 1 inf + 671 140.012 * * [simplify]: Extracting #7: cost 0 inf + 893 140.012 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 140.012 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.012 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1)) 140.013 * * [simplify]: iters left: 6 (10 enodes) 140.016 * * [simplify]: iters left: 5 (38 enodes) 140.024 * * [simplify]: iters left: 4 (66 enodes) 140.036 * * [simplify]: iters left: 3 (113 enodes) 140.066 * * [simplify]: iters left: 2 (178 enodes) 140.138 * * [simplify]: iters left: 1 (234 enodes) 140.212 * * [simplify]: Extracting #0: cost 1 inf + 0 140.213 * * [simplify]: Extracting #1: cost 17 inf + 0 140.213 * * [simplify]: Extracting #2: cost 30 inf + 2 140.213 * * [simplify]: Extracting #3: cost 27 inf + 250 140.214 * * [simplify]: Extracting #4: cost 26 inf + 251 140.215 * * [simplify]: Extracting #5: cost 16 inf + 1708 140.217 * * [simplify]: Extracting #6: cost 1 inf + 4495 140.219 * * [simplify]: Extracting #7: cost 0 inf + 4697 140.220 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 140.220 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (cbrt (sqrt 2))) (* (/ a1 (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.221 * * * * [progress]: [ 378 / 614 ] simplifiying candidate # 140.221 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 140.221 * * [simplify]: iters left: 6 (12 enodes) 140.224 * * [simplify]: iters left: 5 (42 enodes) 140.231 * * [simplify]: iters left: 4 (60 enodes) 140.240 * * [simplify]: iters left: 3 (94 enodes) 140.262 * * [simplify]: iters left: 2 (104 enodes) 140.275 * * [simplify]: Extracting #0: cost 1 inf + 0 140.275 * * [simplify]: Extracting #1: cost 18 inf + 0 140.275 * * [simplify]: Extracting #2: cost 37 inf + 0 140.275 * * [simplify]: Extracting #3: cost 39 inf + 62 140.275 * * [simplify]: Extracting #4: cost 27 inf + 1398 140.276 * * [simplify]: Extracting #5: cost 5 inf + 8751 140.278 * * [simplify]: Extracting #6: cost 0 inf + 10363 140.279 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))))) 140.279 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))))) (/ (/ a1 (/ 1 1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.280 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (cbrt (/ (cbrt (sqrt 2)) a1))) 140.280 * * [simplify]: iters left: 6 (10 enodes) 140.283 * * [simplify]: iters left: 5 (32 enodes) 140.289 * * [simplify]: iters left: 4 (35 enodes) 140.294 * * [simplify]: iters left: 3 (38 enodes) 140.299 * * [simplify]: Extracting #0: cost 1 inf + 0 140.299 * * [simplify]: Extracting #1: cost 4 inf + 0 140.299 * * [simplify]: Extracting #2: cost 6 inf + 1 140.299 * * [simplify]: Extracting #3: cost 7 inf + 2 140.299 * * [simplify]: Extracting #4: cost 9 inf + 2 140.299 * * [simplify]: Extracting #5: cost 11 inf + 2 140.299 * * [simplify]: Extracting #6: cost 9 inf + 44 140.299 * * [simplify]: Extracting #7: cost 4 inf + 651 140.299 * * [simplify]: Extracting #8: cost 0 inf + 1699 140.299 * [simplify]: Simplified to (/ a1 (cbrt (/ (cbrt (sqrt 2)) a1))) 140.299 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))) (* (cbrt (sqrt 2)) (cbrt (/ (cbrt (sqrt 2)) a1))))) (/ a1 (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.299 * * * * [progress]: [ 379 / 614 ] simplifiying candidate # 140.300 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 140.300 * * [simplify]: iters left: 6 (11 enodes) 140.303 * * [simplify]: iters left: 5 (37 enodes) 140.314 * * [simplify]: iters left: 4 (47 enodes) 140.328 * * [simplify]: iters left: 3 (59 enodes) 140.345 * * [simplify]: iters left: 2 (61 enodes) 140.363 * * [simplify]: Extracting #0: cost 1 inf + 0 140.363 * * [simplify]: Extracting #1: cost 12 inf + 0 140.363 * * [simplify]: Extracting #2: cost 25 inf + 0 140.364 * * [simplify]: Extracting #3: cost 27 inf + 62 140.364 * * [simplify]: Extracting #4: cost 16 inf + 1377 140.365 * * [simplify]: Extracting #5: cost 1 inf + 5270 140.367 * * [simplify]: Extracting #6: cost 0 inf + 5573 140.368 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 140.368 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ a1 (/ 1 1)) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.369 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 140.369 * * [simplify]: iters left: 6 (10 enodes) 140.374 * * [simplify]: iters left: 5 (32 enodes) 140.385 * * [simplify]: iters left: 4 (35 enodes) 140.395 * * [simplify]: iters left: 3 (38 enodes) 140.404 * * [simplify]: Extracting #0: cost 1 inf + 0 140.404 * * [simplify]: Extracting #1: cost 4 inf + 0 140.404 * * [simplify]: Extracting #2: cost 6 inf + 1 140.404 * * [simplify]: Extracting #3: cost 7 inf + 2 140.404 * * [simplify]: Extracting #4: cost 9 inf + 2 140.404 * * [simplify]: Extracting #5: cost 11 inf + 2 140.405 * * [simplify]: Extracting #6: cost 9 inf + 44 140.405 * * [simplify]: Extracting #7: cost 4 inf + 651 140.405 * * [simplify]: Extracting #8: cost 0 inf + 1539 140.406 * [simplify]: Simplified to (/ a1 (sqrt (/ (cbrt (sqrt 2)) a1))) 140.406 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ a1 (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.406 * * * * [progress]: [ 380 / 614 ] simplifiying candidate # 140.406 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 140.406 * * [simplify]: iters left: 6 (13 enodes) 140.412 * * [simplify]: iters left: 5 (47 enodes) 140.428 * * [simplify]: iters left: 4 (75 enodes) 140.453 * * [simplify]: iters left: 3 (146 enodes) 140.498 * * [simplify]: iters left: 2 (311 enodes) 140.636 * * [simplify]: Extracting #0: cost 1 inf + 0 140.637 * * [simplify]: Extracting #1: cost 64 inf + 0 140.637 * * [simplify]: Extracting #2: cost 134 inf + 0 140.638 * * [simplify]: Extracting #3: cost 132 inf + 205 140.640 * * [simplify]: Extracting #4: cost 111 inf + 4701 140.651 * * [simplify]: Extracting #5: cost 22 inf + 38404 140.668 * * [simplify]: Extracting #6: cost 0 inf + 46595 140.686 * * [simplify]: Extracting #7: cost 0 inf + 46555 140.706 * [simplify]: Simplified to (* (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 140.706 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.706 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 140.706 * * [simplify]: iters left: 6 (11 enodes) 140.713 * * [simplify]: iters left: 5 (37 enodes) 140.725 * * [simplify]: iters left: 4 (49 enodes) 140.740 * * [simplify]: iters left: 3 (65 enodes) 140.757 * * [simplify]: iters left: 2 (73 enodes) 140.773 * * [simplify]: iters left: 1 (87 enodes) 140.794 * * [simplify]: Extracting #0: cost 1 inf + 0 140.794 * * [simplify]: Extracting #1: cost 19 inf + 0 140.794 * * [simplify]: Extracting #2: cost 28 inf + 2 140.795 * * [simplify]: Extracting #3: cost 26 inf + 288 140.795 * * [simplify]: Extracting #4: cost 22 inf + 939 140.795 * * [simplify]: Extracting #5: cost 19 inf + 1102 140.796 * * [simplify]: Extracting #6: cost 10 inf + 3077 140.798 * * [simplify]: Extracting #7: cost 0 inf + 6179 140.800 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) a1)) 140.800 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.800 * * * * [progress]: [ 381 / 614 ] simplifiying candidate # 140.800 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 140.800 * * [simplify]: iters left: 6 (12 enodes) 140.806 * * [simplify]: iters left: 5 (42 enodes) 140.820 * * [simplify]: iters left: 4 (62 enodes) 140.840 * * [simplify]: iters left: 3 (104 enodes) 140.874 * * [simplify]: iters left: 2 (156 enodes) 140.901 * * [simplify]: iters left: 1 (219 enodes) 140.960 * * [simplify]: Extracting #0: cost 1 inf + 0 140.960 * * [simplify]: Extracting #1: cost 36 inf + 0 140.961 * * [simplify]: Extracting #2: cost 69 inf + 0 140.961 * * [simplify]: Extracting #3: cost 68 inf + 104 140.962 * * [simplify]: Extracting #4: cost 38 inf + 6797 140.965 * * [simplify]: Extracting #5: cost 5 inf + 17787 140.968 * * [simplify]: Extracting #6: cost 0 inf + 19455 140.972 * [simplify]: Simplified to (/ (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) 140.972 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 140.973 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 140.973 * * [simplify]: iters left: 6 (11 enodes) 140.976 * * [simplify]: iters left: 5 (37 enodes) 140.982 * * [simplify]: iters left: 4 (49 enodes) 140.994 * * [simplify]: iters left: 3 (65 enodes) 141.007 * * [simplify]: iters left: 2 (73 enodes) 141.015 * * [simplify]: iters left: 1 (87 enodes) 141.026 * * [simplify]: Extracting #0: cost 1 inf + 0 141.026 * * [simplify]: Extracting #1: cost 19 inf + 0 141.026 * * [simplify]: Extracting #2: cost 28 inf + 2 141.026 * * [simplify]: Extracting #3: cost 26 inf + 208 141.026 * * [simplify]: Extracting #4: cost 22 inf + 699 141.026 * * [simplify]: Extracting #5: cost 19 inf + 822 141.027 * * [simplify]: Extracting #6: cost 10 inf + 2677 141.028 * * [simplify]: Extracting #7: cost 0 inf + 5539 141.028 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) a1)) 141.029 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.029 * * * * [progress]: [ 382 / 614 ] simplifiying candidate # 141.029 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 141.029 * * [simplify]: iters left: 6 (11 enodes) 141.032 * * [simplify]: iters left: 5 (39 enodes) 141.046 * * [simplify]: iters left: 4 (53 enodes) 141.056 * * [simplify]: iters left: 3 (78 enodes) 141.069 * * [simplify]: iters left: 2 (113 enodes) 141.100 * * [simplify]: iters left: 1 (185 enodes) 141.166 * * [simplify]: Extracting #0: cost 1 inf + 0 141.166 * * [simplify]: Extracting #1: cost 21 inf + 0 141.166 * * [simplify]: Extracting #2: cost 44 inf + 1 141.166 * * [simplify]: Extracting #3: cost 43 inf + 124 141.167 * * [simplify]: Extracting #4: cost 32 inf + 1719 141.168 * * [simplify]: Extracting #5: cost 4 inf + 10150 141.172 * * [simplify]: Extracting #6: cost 0 inf + 11317 141.177 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 141.178 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.178 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 141.178 * * [simplify]: iters left: 6 (10 enodes) 141.184 * * [simplify]: iters left: 5 (34 enodes) 141.195 * * [simplify]: iters left: 4 (44 enodes) 141.208 * * [simplify]: iters left: 3 (56 enodes) 141.224 * * [simplify]: iters left: 2 (68 enodes) 141.237 * * [simplify]: iters left: 1 (75 enodes) 141.248 * * [simplify]: Extracting #0: cost 1 inf + 0 141.248 * * [simplify]: Extracting #1: cost 11 inf + 0 141.248 * * [simplify]: Extracting #2: cost 15 inf + 2 141.249 * * [simplify]: Extracting #3: cost 11 inf + 332 141.249 * * [simplify]: Extracting #4: cost 13 inf + 332 141.249 * * [simplify]: Extracting #5: cost 10 inf + 415 141.249 * * [simplify]: Extracting #6: cost 3 inf + 1865 141.250 * * [simplify]: Extracting #7: cost 1 inf + 2349 141.250 * * [simplify]: Extracting #8: cost 0 inf + 2591 141.250 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) 141.251 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.251 * * * * [progress]: [ 383 / 614 ] simplifiying candidate # 141.251 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 141.251 * * [simplify]: iters left: 6 (16 enodes) 141.255 * * [simplify]: iters left: 5 (57 enodes) 141.264 * * [simplify]: iters left: 4 (85 enodes) 141.292 * * [simplify]: iters left: 3 (156 enodes) 141.354 * * [simplify]: iters left: 2 (321 enodes) 141.457 * * [simplify]: Extracting #0: cost 1 inf + 0 141.458 * * [simplify]: Extracting #1: cost 61 inf + 0 141.458 * * [simplify]: Extracting #2: cost 132 inf + 0 141.459 * * [simplify]: Extracting #3: cost 129 inf + 710 141.461 * * [simplify]: Extracting #4: cost 116 inf + 3293 141.469 * * [simplify]: Extracting #5: cost 20 inf + 40006 141.477 * * [simplify]: Extracting #6: cost 0 inf + 49332 141.485 * [simplify]: Simplified to (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (fabs (cbrt 2))))) 141.486 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (fabs (cbrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.486 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 141.486 * * [simplify]: iters left: 6 (11 enodes) 141.492 * * [simplify]: iters left: 5 (37 enodes) 141.504 * * [simplify]: iters left: 4 (49 enodes) 141.515 * * [simplify]: iters left: 3 (65 enodes) 141.526 * * [simplify]: iters left: 2 (73 enodes) 141.534 * * [simplify]: iters left: 1 (87 enodes) 141.552 * * [simplify]: Extracting #0: cost 1 inf + 0 141.552 * * [simplify]: Extracting #1: cost 19 inf + 0 141.552 * * [simplify]: Extracting #2: cost 28 inf + 2 141.552 * * [simplify]: Extracting #3: cost 26 inf + 288 141.553 * * [simplify]: Extracting #4: cost 22 inf + 939 141.553 * * [simplify]: Extracting #5: cost 19 inf + 1142 141.554 * * [simplify]: Extracting #6: cost 10 inf + 3157 141.556 * * [simplify]: Extracting #7: cost 0 inf + 6259 141.557 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (sqrt (cbrt 2))) a1)) 141.557 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (fabs (cbrt 2))))) (/ (cbrt a1) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.558 * * * * [progress]: [ 384 / 614 ] simplifiying candidate # 141.558 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 141.558 * * [simplify]: iters left: 6 (15 enodes) 141.566 * * [simplify]: iters left: 5 (52 enodes) 141.582 * * [simplify]: iters left: 4 (72 enodes) 141.596 * * [simplify]: iters left: 3 (114 enodes) 141.615 * * [simplify]: iters left: 2 (166 enodes) 141.666 * * [simplify]: iters left: 1 (229 enodes) 141.742 * * [simplify]: Extracting #0: cost 1 inf + 0 141.742 * * [simplify]: Extracting #1: cost 36 inf + 0 141.743 * * [simplify]: Extracting #2: cost 70 inf + 0 141.743 * * [simplify]: Extracting #3: cost 71 inf + 145 141.745 * * [simplify]: Extracting #4: cost 51 inf + 3721 141.749 * * [simplify]: Extracting #5: cost 12 inf + 17197 141.759 * * [simplify]: Extracting #6: cost 0 inf + 22061 141.766 * [simplify]: Simplified to (/ (* (cos th) (sqrt a1)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) 141.766 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.767 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 141.767 * * [simplify]: iters left: 6 (11 enodes) 141.773 * * [simplify]: iters left: 5 (37 enodes) 141.784 * * [simplify]: iters left: 4 (49 enodes) 141.792 * * [simplify]: iters left: 3 (65 enodes) 141.801 * * [simplify]: iters left: 2 (73 enodes) 141.809 * * [simplify]: iters left: 1 (87 enodes) 141.829 * * [simplify]: Extracting #0: cost 1 inf + 0 141.829 * * [simplify]: Extracting #1: cost 19 inf + 0 141.829 * * [simplify]: Extracting #2: cost 28 inf + 2 141.829 * * [simplify]: Extracting #3: cost 26 inf + 208 141.829 * * [simplify]: Extracting #4: cost 22 inf + 699 141.829 * * [simplify]: Extracting #5: cost 19 inf + 862 141.830 * * [simplify]: Extracting #6: cost 10 inf + 2757 141.831 * * [simplify]: Extracting #7: cost 0 inf + 5619 141.831 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (cbrt 2))) a1)) 141.831 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) (sqrt a1)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2))))) (/ (sqrt a1) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 141.832 * * * * [progress]: [ 385 / 614 ] simplifiying candidate # 141.832 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 141.832 * * [simplify]: iters left: 6 (14 enodes) 141.836 * * [simplify]: iters left: 5 (49 enodes) 141.845 * * [simplify]: iters left: 4 (63 enodes) 141.856 * * [simplify]: iters left: 3 (88 enodes) 141.881 * * [simplify]: iters left: 2 (123 enodes) 141.926 * * [simplify]: iters left: 1 (195 enodes) 142.023 * * [simplify]: Extracting #0: cost 1 inf + 0 142.023 * * [simplify]: Extracting #1: cost 21 inf + 0 142.023 * * [simplify]: Extracting #2: cost 44 inf + 1 142.024 * * [simplify]: Extracting #3: cost 47 inf + 63 142.024 * * [simplify]: Extracting #4: cost 36 inf + 1559 142.027 * * [simplify]: Extracting #5: cost 12 inf + 8001 142.032 * * [simplify]: Extracting #6: cost 0 inf + 12621 142.037 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 142.037 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.038 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) 142.038 * * [simplify]: iters left: 6 (10 enodes) 142.044 * * [simplify]: iters left: 5 (34 enodes) 142.051 * * [simplify]: iters left: 4 (44 enodes) 142.058 * * [simplify]: iters left: 3 (56 enodes) 142.066 * * [simplify]: iters left: 2 (68 enodes) 142.075 * * [simplify]: iters left: 1 (75 enodes) 142.092 * * [simplify]: Extracting #0: cost 1 inf + 0 142.092 * * [simplify]: Extracting #1: cost 11 inf + 0 142.092 * * [simplify]: Extracting #2: cost 15 inf + 2 142.092 * * [simplify]: Extracting #3: cost 11 inf + 332 142.093 * * [simplify]: Extracting #4: cost 13 inf + 332 142.093 * * [simplify]: Extracting #5: cost 10 inf + 495 142.093 * * [simplify]: Extracting #6: cost 3 inf + 1945 142.094 * * [simplify]: Extracting #7: cost 1 inf + 2429 142.095 * * [simplify]: Extracting #8: cost 0 inf + 2671 142.096 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt (cbrt 2)))) 142.096 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ (* a1 a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.096 * * * * [progress]: [ 386 / 614 ] simplifiying candidate # 142.096 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 142.097 * * [simplify]: iters left: 6 (14 enodes) 142.104 * * [simplify]: iters left: 5 (50 enodes) 142.112 * * [simplify]: iters left: 4 (78 enodes) 142.127 * * [simplify]: iters left: 3 (149 enodes) 142.167 * * [simplify]: iters left: 2 (314 enodes) 142.298 * * [simplify]: Extracting #0: cost 1 inf + 0 142.299 * * [simplify]: Extracting #1: cost 60 inf + 0 142.299 * * [simplify]: Extracting #2: cost 131 inf + 0 142.300 * * [simplify]: Extracting #3: cost 132 inf + 63 142.302 * * [simplify]: Extracting #4: cost 107 inf + 4785 142.312 * * [simplify]: Extracting #5: cost 27 inf + 33485 142.321 * * [simplify]: Extracting #6: cost 0 inf + 43766 142.328 * * [simplify]: Extracting #7: cost 0 inf + 43726 142.336 * [simplify]: Simplified to (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) 142.336 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.337 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 142.337 * * [simplify]: iters left: 6 (11 enodes) 142.340 * * [simplify]: iters left: 5 (37 enodes) 142.347 * * [simplify]: iters left: 4 (49 enodes) 142.362 * * [simplify]: iters left: 3 (65 enodes) 142.378 * * [simplify]: iters left: 2 (73 enodes) 142.396 * * [simplify]: iters left: 1 (87 enodes) 142.417 * * [simplify]: Extracting #0: cost 1 inf + 0 142.417 * * [simplify]: Extracting #1: cost 19 inf + 0 142.417 * * [simplify]: Extracting #2: cost 28 inf + 2 142.418 * * [simplify]: Extracting #3: cost 26 inf + 288 142.418 * * [simplify]: Extracting #4: cost 22 inf + 939 142.419 * * [simplify]: Extracting #5: cost 19 inf + 1102 142.419 * * [simplify]: Extracting #6: cost 10 inf + 2757 142.421 * * [simplify]: Extracting #7: cost 0 inf + 5459 142.423 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (sqrt (sqrt 2))) a1)) 142.423 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt a1) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.423 * * * * [progress]: [ 387 / 614 ] simplifiying candidate # 142.424 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 142.424 * * [simplify]: iters left: 6 (13 enodes) 142.430 * * [simplify]: iters left: 5 (45 enodes) 142.441 * * [simplify]: iters left: 4 (65 enodes) 142.451 * * [simplify]: iters left: 3 (107 enodes) 142.469 * * [simplify]: iters left: 2 (159 enodes) 142.502 * * [simplify]: iters left: 1 (222 enodes) 142.561 * * [simplify]: Extracting #0: cost 1 inf + 0 142.561 * * [simplify]: Extracting #1: cost 36 inf + 0 142.562 * * [simplify]: Extracting #2: cost 70 inf + 0 142.562 * * [simplify]: Extracting #3: cost 71 inf + 63 142.563 * * [simplify]: Extracting #4: cost 47 inf + 3978 142.568 * * [simplify]: Extracting #5: cost 8 inf + 16543 142.575 * * [simplify]: Extracting #6: cost 0 inf + 19097 142.582 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) 142.582 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.583 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 142.583 * * [simplify]: iters left: 6 (11 enodes) 142.589 * * [simplify]: iters left: 5 (37 enodes) 142.601 * * [simplify]: iters left: 4 (49 enodes) 142.617 * * [simplify]: iters left: 3 (65 enodes) 142.635 * * [simplify]: iters left: 2 (73 enodes) 142.650 * * [simplify]: iters left: 1 (87 enodes) 142.662 * * [simplify]: Extracting #0: cost 1 inf + 0 142.662 * * [simplify]: Extracting #1: cost 19 inf + 0 142.663 * * [simplify]: Extracting #2: cost 28 inf + 2 142.663 * * [simplify]: Extracting #3: cost 26 inf + 208 142.663 * * [simplify]: Extracting #4: cost 22 inf + 699 142.663 * * [simplify]: Extracting #5: cost 19 inf + 822 142.663 * * [simplify]: Extracting #6: cost 10 inf + 2357 142.664 * * [simplify]: Extracting #7: cost 0 inf + 4819 142.665 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) a1)) 142.665 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.665 * * * * [progress]: [ 388 / 614 ] simplifiying candidate # 142.666 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 142.666 * * [simplify]: iters left: 6 (12 enodes) 142.669 * * [simplify]: iters left: 5 (42 enodes) 142.676 * * [simplify]: iters left: 4 (56 enodes) 142.687 * * [simplify]: iters left: 3 (81 enodes) 142.702 * * [simplify]: iters left: 2 (116 enodes) 142.730 * * [simplify]: iters left: 1 (188 enodes) 142.800 * * [simplify]: Extracting #0: cost 1 inf + 0 142.800 * * [simplify]: Extracting #1: cost 21 inf + 0 142.801 * * [simplify]: Extracting #2: cost 46 inf + 1 142.801 * * [simplify]: Extracting #3: cost 47 inf + 63 142.801 * * [simplify]: Extracting #4: cost 35 inf + 1719 142.802 * * [simplify]: Extracting #5: cost 11 inf + 7522 142.805 * * [simplify]: Extracting #6: cost 1 inf + 10959 142.807 * * [simplify]: Extracting #7: cost 0 inf + 11341 142.809 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 142.809 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.810 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 142.810 * * [simplify]: iters left: 6 (10 enodes) 142.815 * * [simplify]: iters left: 5 (34 enodes) 142.826 * * [simplify]: iters left: 4 (44 enodes) 142.839 * * [simplify]: iters left: 3 (56 enodes) 142.854 * * [simplify]: iters left: 2 (68 enodes) 142.871 * * [simplify]: iters left: 1 (75 enodes) 142.888 * * [simplify]: Extracting #0: cost 1 inf + 0 142.888 * * [simplify]: Extracting #1: cost 11 inf + 0 142.889 * * [simplify]: Extracting #2: cost 15 inf + 2 142.889 * * [simplify]: Extracting #3: cost 11 inf + 332 142.889 * * [simplify]: Extracting #4: cost 13 inf + 332 142.889 * * [simplify]: Extracting #5: cost 10 inf + 415 142.890 * * [simplify]: Extracting #6: cost 3 inf + 1585 142.891 * * [simplify]: Extracting #7: cost 1 inf + 1989 142.892 * * [simplify]: Extracting #8: cost 0 inf + 2191 142.892 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt (sqrt 2)))) 142.893 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 142.893 * * * * [progress]: [ 389 / 614 ] simplifiying candidate # 142.893 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 142.893 * * [simplify]: iters left: 6 (15 enodes) 142.902 * * [simplify]: iters left: 5 (55 enodes) 142.918 * * [simplify]: iters left: 4 (83 enodes) 142.948 * * [simplify]: iters left: 3 (158 enodes) 142.995 * * [simplify]: iters left: 2 (317 enodes) 143.158 * * [simplify]: Extracting #0: cost 1 inf + 0 143.158 * * [simplify]: Extracting #1: cost 37 inf + 0 143.158 * * [simplify]: Extracting #2: cost 88 inf + 1 143.159 * * [simplify]: Extracting #3: cost 82 inf + 791 143.160 * * [simplify]: Extracting #4: cost 32 inf + 11613 143.167 * * [simplify]: Extracting #5: cost 1 inf + 21313 143.175 * * [simplify]: Extracting #6: cost 0 inf + 21697 143.182 * [simplify]: Simplified to (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 143.182 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.183 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 143.183 * * [simplify]: iters left: 6 (10 enodes) 143.188 * * [simplify]: iters left: 5 (34 enodes) 143.195 * * [simplify]: iters left: 4 (46 enodes) 143.203 * * [simplify]: iters left: 3 (62 enodes) 143.211 * * [simplify]: iters left: 2 (70 enodes) 143.224 * * [simplify]: iters left: 1 (84 enodes) 143.246 * * [simplify]: Extracting #0: cost 1 inf + 0 143.246 * * [simplify]: Extracting #1: cost 19 inf + 0 143.247 * * [simplify]: Extracting #2: cost 28 inf + 2 143.247 * * [simplify]: Extracting #3: cost 27 inf + 206 143.247 * * [simplify]: Extracting #4: cost 17 inf + 1102 143.248 * * [simplify]: Extracting #5: cost 5 inf + 3486 143.249 * * [simplify]: Extracting #6: cost 0 inf + 4657 143.251 * [simplify]: Simplified to (* a1 (/ (cbrt a1) (cbrt (sqrt 2)))) 143.251 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (* a1 (/ (cbrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.251 * * * * [progress]: [ 390 / 614 ] simplifiying candidate # 143.252 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt a1))) 143.252 * * [simplify]: iters left: 6 (14 enodes) 143.261 * * [simplify]: iters left: 5 (50 enodes) 143.277 * * [simplify]: iters left: 4 (67 enodes) 143.297 * * [simplify]: iters left: 3 (95 enodes) 143.328 * * [simplify]: iters left: 2 (144 enodes) 143.380 * * [simplify]: iters left: 1 (215 enodes) 143.415 * * [simplify]: Extracting #0: cost 1 inf + 0 143.415 * * [simplify]: Extracting #1: cost 19 inf + 0 143.416 * * [simplify]: Extracting #2: cost 37 inf + 1 143.416 * * [simplify]: Extracting #3: cost 33 inf + 269 143.416 * * [simplify]: Extracting #4: cost 13 inf + 3404 143.417 * * [simplify]: Extracting #5: cost 1 inf + 6268 143.419 * * [simplify]: Extracting #6: cost 0 inf + 6510 143.420 * [simplify]: Simplified to (/ (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 143.420 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.420 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 143.421 * * [simplify]: iters left: 6 (10 enodes) 143.423 * * [simplify]: iters left: 5 (34 enodes) 143.429 * * [simplify]: iters left: 4 (46 enodes) 143.439 * * [simplify]: iters left: 3 (62 enodes) 143.448 * * [simplify]: iters left: 2 (70 enodes) 143.463 * * [simplify]: iters left: 1 (84 enodes) 143.484 * * [simplify]: Extracting #0: cost 1 inf + 0 143.485 * * [simplify]: Extracting #1: cost 19 inf + 0 143.485 * * [simplify]: Extracting #2: cost 28 inf + 2 143.485 * * [simplify]: Extracting #3: cost 27 inf + 126 143.485 * * [simplify]: Extracting #4: cost 17 inf + 822 143.486 * * [simplify]: Extracting #5: cost 5 inf + 2966 143.488 * * [simplify]: Extracting #6: cost 0 inf + 4017 143.489 * [simplify]: Simplified to (* a1 (/ (sqrt a1) (cbrt (sqrt 2)))) 143.490 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 (/ (sqrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.490 * * * * [progress]: [ 391 / 614 ] simplifiying candidate # 143.490 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) 1)) 143.490 * * [simplify]: iters left: 6 (12 enodes) 143.496 * * [simplify]: iters left: 5 (42 enodes) 143.505 * * [simplify]: iters left: 4 (56 enodes) 143.514 * * [simplify]: iters left: 3 (66 enodes) 143.523 * * [simplify]: iters left: 2 (81 enodes) 143.539 * * [simplify]: iters left: 1 (120 enodes) 143.591 * * [simplify]: Extracting #0: cost 1 inf + 0 143.591 * * [simplify]: Extracting #1: cost 13 inf + 0 143.591 * * [simplify]: Extracting #2: cost 23 inf + 1 143.592 * * [simplify]: Extracting #3: cost 21 inf + 226 143.592 * * [simplify]: Extracting #4: cost 16 inf + 532 143.593 * * [simplify]: Extracting #5: cost 4 inf + 2953 143.595 * * [simplify]: Extracting #6: cost 0 inf + 3841 143.597 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 143.598 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.599 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1)) 143.599 * * [simplify]: iters left: 6 (9 enodes) 143.604 * * [simplify]: iters left: 5 (31 enodes) 143.615 * * [simplify]: iters left: 4 (41 enodes) 143.629 * * [simplify]: iters left: 3 (53 enodes) 143.643 * * [simplify]: iters left: 2 (63 enodes) 143.657 * * [simplify]: iters left: 1 (71 enodes) 143.674 * * [simplify]: Extracting #0: cost 1 inf + 0 143.674 * * [simplify]: Extracting #1: cost 11 inf + 0 143.674 * * [simplify]: Extracting #2: cost 15 inf + 2 143.674 * * [simplify]: Extracting #3: cost 12 inf + 291 143.674 * * [simplify]: Extracting #4: cost 9 inf + 374 143.675 * * [simplify]: Extracting #5: cost 1 inf + 1547 143.675 * * [simplify]: Extracting #6: cost 0 inf + 1709 143.676 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 143.676 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.676 * * * * [progress]: [ 392 / 614 ] simplifiying candidate # 143.677 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 143.677 * * [simplify]: iters left: 6 (14 enodes) 143.683 * * [simplify]: iters left: 5 (50 enodes) 143.701 * * [simplify]: iters left: 4 (78 enodes) 143.728 * * [simplify]: iters left: 3 (149 enodes) 143.766 * * [simplify]: iters left: 2 (314 enodes) 143.910 * * [simplify]: Extracting #0: cost 1 inf + 0 143.910 * * [simplify]: Extracting #1: cost 60 inf + 0 143.911 * * [simplify]: Extracting #2: cost 131 inf + 0 143.912 * * [simplify]: Extracting #3: cost 132 inf + 63 143.913 * * [simplify]: Extracting #4: cost 107 inf + 4785 143.923 * * [simplify]: Extracting #5: cost 27 inf + 33485 143.938 * * [simplify]: Extracting #6: cost 0 inf + 43766 143.954 * * [simplify]: Extracting #7: cost 0 inf + 43726 143.970 * [simplify]: Simplified to (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) 143.970 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 143.971 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 143.971 * * [simplify]: iters left: 6 (11 enodes) 143.977 * * [simplify]: iters left: 5 (37 enodes) 143.989 * * [simplify]: iters left: 4 (49 enodes) 144.004 * * [simplify]: iters left: 3 (65 enodes) 144.022 * * [simplify]: iters left: 2 (73 enodes) 144.037 * * [simplify]: iters left: 1 (87 enodes) 144.060 * * [simplify]: Extracting #0: cost 1 inf + 0 144.060 * * [simplify]: Extracting #1: cost 19 inf + 0 144.060 * * [simplify]: Extracting #2: cost 28 inf + 2 144.060 * * [simplify]: Extracting #3: cost 26 inf + 288 144.060 * * [simplify]: Extracting #4: cost 22 inf + 939 144.061 * * [simplify]: Extracting #5: cost 19 inf + 1102 144.061 * * [simplify]: Extracting #6: cost 10 inf + 2757 144.062 * * [simplify]: Extracting #7: cost 0 inf + 5459 144.063 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (sqrt (sqrt 2))) a1)) 144.063 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt a1) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.063 * * * * [progress]: [ 393 / 614 ] simplifiying candidate # 144.063 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 144.063 * * [simplify]: iters left: 6 (13 enodes) 144.066 * * [simplify]: iters left: 5 (45 enodes) 144.073 * * [simplify]: iters left: 4 (65 enodes) 144.084 * * [simplify]: iters left: 3 (107 enodes) 144.107 * * [simplify]: iters left: 2 (159 enodes) 144.136 * * [simplify]: iters left: 1 (222 enodes) 144.190 * * [simplify]: Extracting #0: cost 1 inf + 0 144.190 * * [simplify]: Extracting #1: cost 36 inf + 0 144.191 * * [simplify]: Extracting #2: cost 70 inf + 0 144.191 * * [simplify]: Extracting #3: cost 71 inf + 63 144.191 * * [simplify]: Extracting #4: cost 47 inf + 3978 144.194 * * [simplify]: Extracting #5: cost 8 inf + 16543 144.197 * * [simplify]: Extracting #6: cost 0 inf + 19097 144.201 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) 144.201 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.201 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 144.201 * * [simplify]: iters left: 6 (11 enodes) 144.204 * * [simplify]: iters left: 5 (37 enodes) 144.212 * * [simplify]: iters left: 4 (49 enodes) 144.226 * * [simplify]: iters left: 3 (65 enodes) 144.237 * * [simplify]: iters left: 2 (73 enodes) 144.245 * * [simplify]: iters left: 1 (87 enodes) 144.255 * * [simplify]: Extracting #0: cost 1 inf + 0 144.256 * * [simplify]: Extracting #1: cost 19 inf + 0 144.256 * * [simplify]: Extracting #2: cost 28 inf + 2 144.256 * * [simplify]: Extracting #3: cost 26 inf + 208 144.256 * * [simplify]: Extracting #4: cost 22 inf + 699 144.256 * * [simplify]: Extracting #5: cost 19 inf + 822 144.257 * * [simplify]: Extracting #6: cost 10 inf + 2357 144.258 * * [simplify]: Extracting #7: cost 0 inf + 4819 144.259 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) a1)) 144.259 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.260 * * * * [progress]: [ 394 / 614 ] simplifiying candidate # 144.260 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 144.260 * * [simplify]: iters left: 6 (12 enodes) 144.266 * * [simplify]: iters left: 5 (42 enodes) 144.281 * * [simplify]: iters left: 4 (56 enodes) 144.298 * * [simplify]: iters left: 3 (81 enodes) 144.325 * * [simplify]: iters left: 2 (116 enodes) 144.361 * * [simplify]: iters left: 1 (188 enodes) 144.424 * * [simplify]: Extracting #0: cost 1 inf + 0 144.425 * * [simplify]: Extracting #1: cost 21 inf + 0 144.425 * * [simplify]: Extracting #2: cost 46 inf + 1 144.426 * * [simplify]: Extracting #3: cost 47 inf + 63 144.426 * * [simplify]: Extracting #4: cost 35 inf + 1719 144.430 * * [simplify]: Extracting #5: cost 11 inf + 7522 144.435 * * [simplify]: Extracting #6: cost 1 inf + 10959 144.440 * * [simplify]: Extracting #7: cost 0 inf + 11341 144.445 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 144.445 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.445 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 144.445 * * [simplify]: iters left: 6 (10 enodes) 144.451 * * [simplify]: iters left: 5 (34 enodes) 144.463 * * [simplify]: iters left: 4 (44 enodes) 144.476 * * [simplify]: iters left: 3 (56 enodes) 144.492 * * [simplify]: iters left: 2 (68 enodes) 144.503 * * [simplify]: iters left: 1 (75 enodes) 144.512 * * [simplify]: Extracting #0: cost 1 inf + 0 144.512 * * [simplify]: Extracting #1: cost 11 inf + 0 144.512 * * [simplify]: Extracting #2: cost 15 inf + 2 144.512 * * [simplify]: Extracting #3: cost 11 inf + 332 144.512 * * [simplify]: Extracting #4: cost 13 inf + 332 144.512 * * [simplify]: Extracting #5: cost 10 inf + 415 144.512 * * [simplify]: Extracting #6: cost 3 inf + 1585 144.513 * * [simplify]: Extracting #7: cost 1 inf + 1989 144.513 * * [simplify]: Extracting #8: cost 0 inf + 2191 144.514 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt (sqrt 2)))) 144.514 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.514 * * * * [progress]: [ 395 / 614 ] simplifiying candidate # 144.514 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 144.514 * * [simplify]: iters left: 6 (14 enodes) 144.518 * * [simplify]: iters left: 5 (52 enodes) 144.526 * * [simplify]: iters left: 4 (80 enodes) 144.554 * * [simplify]: iters left: 3 (155 enodes) 144.608 * * [simplify]: iters left: 2 (314 enodes) 144.758 * * [simplify]: Extracting #0: cost 1 inf + 0 144.758 * * [simplify]: Extracting #1: cost 41 inf + 0 144.758 * * [simplify]: Extracting #2: cost 95 inf + 1 144.759 * * [simplify]: Extracting #3: cost 92 inf + 227 144.760 * * [simplify]: Extracting #4: cost 59 inf + 6569 144.763 * * [simplify]: Extracting #5: cost 6 inf + 21450 144.767 * * [simplify]: Extracting #6: cost 0 inf + 23430 144.772 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) 144.772 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.772 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 144.772 * * [simplify]: iters left: 6 (10 enodes) 144.775 * * [simplify]: iters left: 5 (34 enodes) 144.781 * * [simplify]: iters left: 4 (46 enodes) 144.791 * * [simplify]: iters left: 3 (62 enodes) 144.808 * * [simplify]: iters left: 2 (70 enodes) 144.819 * * [simplify]: iters left: 1 (84 enodes) 144.831 * * [simplify]: Extracting #0: cost 1 inf + 0 144.832 * * [simplify]: Extracting #1: cost 19 inf + 0 144.832 * * [simplify]: Extracting #2: cost 28 inf + 2 144.832 * * [simplify]: Extracting #3: cost 27 inf + 206 144.832 * * [simplify]: Extracting #4: cost 17 inf + 1102 144.832 * * [simplify]: Extracting #5: cost 5 inf + 3486 144.833 * * [simplify]: Extracting #6: cost 0 inf + 4657 144.834 * [simplify]: Simplified to (* a1 (/ (cbrt a1) (cbrt (sqrt 2)))) 144.834 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* a1 (/ (cbrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.834 * * * * [progress]: [ 396 / 614 ] simplifiying candidate # 144.834 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt a1))) 144.834 * * [simplify]: iters left: 6 (13 enodes) 144.839 * * [simplify]: iters left: 5 (47 enodes) 144.847 * * [simplify]: iters left: 4 (64 enodes) 144.857 * * [simplify]: iters left: 3 (92 enodes) 144.873 * * [simplify]: iters left: 2 (141 enodes) 144.920 * * [simplify]: iters left: 1 (211 enodes) 144.952 * * [simplify]: Extracting #0: cost 1 inf + 0 144.952 * * [simplify]: Extracting #1: cost 19 inf + 0 144.952 * * [simplify]: Extracting #2: cost 37 inf + 1 144.952 * * [simplify]: Extracting #3: cost 32 inf + 310 144.953 * * [simplify]: Extracting #4: cost 17 inf + 2496 144.954 * * [simplify]: Extracting #5: cost 1 inf + 6248 144.957 * * [simplify]: Extracting #6: cost 0 inf + 6510 144.960 * [simplify]: Simplified to (/ (* (sqrt a1) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 144.960 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 144.960 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 144.960 * * [simplify]: iters left: 6 (10 enodes) 144.966 * * [simplify]: iters left: 5 (34 enodes) 144.977 * * [simplify]: iters left: 4 (46 enodes) 144.991 * * [simplify]: iters left: 3 (62 enodes) 145.000 * * [simplify]: iters left: 2 (70 enodes) 145.009 * * [simplify]: iters left: 1 (84 enodes) 145.021 * * [simplify]: Extracting #0: cost 1 inf + 0 145.021 * * [simplify]: Extracting #1: cost 19 inf + 0 145.021 * * [simplify]: Extracting #2: cost 28 inf + 2 145.022 * * [simplify]: Extracting #3: cost 27 inf + 126 145.022 * * [simplify]: Extracting #4: cost 17 inf + 822 145.022 * * [simplify]: Extracting #5: cost 5 inf + 2966 145.023 * * [simplify]: Extracting #6: cost 0 inf + 4017 145.024 * [simplify]: Simplified to (* a1 (/ (sqrt a1) (cbrt (sqrt 2)))) 145.024 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (/ (sqrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.024 * * * * [progress]: [ 397 / 614 ] simplifiying candidate # 145.024 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) 1)) 145.024 * * [simplify]: iters left: 6 (11 enodes) 145.028 * * [simplify]: iters left: 5 (39 enodes) 145.035 * * [simplify]: iters left: 4 (47 enodes) 145.042 * * [simplify]: iters left: 3 (54 enodes) 145.051 * * [simplify]: iters left: 2 (64 enodes) 145.063 * * [simplify]: iters left: 1 (104 enodes) 145.104 * * [simplify]: Extracting #0: cost 1 inf + 0 145.104 * * [simplify]: Extracting #1: cost 13 inf + 0 145.104 * * [simplify]: Extracting #2: cost 23 inf + 1 145.104 * * [simplify]: Extracting #3: cost 23 inf + 63 145.104 * * [simplify]: Extracting #4: cost 11 inf + 1721 145.105 * * [simplify]: Extracting #5: cost 0 inf + 3841 145.106 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 145.106 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.107 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1)) 145.107 * * [simplify]: iters left: 6 (9 enodes) 145.109 * * [simplify]: iters left: 5 (31 enodes) 145.115 * * [simplify]: iters left: 4 (41 enodes) 145.122 * * [simplify]: iters left: 3 (53 enodes) 145.137 * * [simplify]: iters left: 2 (63 enodes) 145.150 * * [simplify]: iters left: 1 (71 enodes) 145.167 * * [simplify]: Extracting #0: cost 1 inf + 0 145.167 * * [simplify]: Extracting #1: cost 11 inf + 0 145.167 * * [simplify]: Extracting #2: cost 15 inf + 2 145.167 * * [simplify]: Extracting #3: cost 12 inf + 291 145.167 * * [simplify]: Extracting #4: cost 9 inf + 374 145.168 * * [simplify]: Extracting #5: cost 1 inf + 1547 145.169 * * [simplify]: Extracting #6: cost 0 inf + 1709 145.169 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 145.169 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.169 * * * * [progress]: [ 398 / 614 ] simplifiying candidate # 145.170 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 145.170 * * [simplify]: iters left: 6 (14 enodes) 145.173 * * [simplify]: iters left: 5 (54 enodes) 145.182 * * [simplify]: iters left: 4 (106 enodes) 145.212 * * [simplify]: iters left: 3 (258 enodes) 145.298 * * [simplify]: Extracting #0: cost 1 inf + 0 145.299 * * [simplify]: Extracting #1: cost 76 inf + 0 145.299 * * [simplify]: Extracting #2: cost 169 inf + 0 145.300 * * [simplify]: Extracting #3: cost 168 inf + 124 145.301 * * [simplify]: Extracting #4: cost 151 inf + 2987 145.312 * * [simplify]: Extracting #5: cost 54 inf + 40042 145.325 * * [simplify]: Extracting #6: cost 0 inf + 61949 145.336 * * [simplify]: Extracting #7: cost 0 inf + 61869 145.348 * [simplify]: Simplified to (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)))) 145.348 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.349 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 145.349 * * [simplify]: iters left: 6 (11 enodes) 145.355 * * [simplify]: iters left: 5 (37 enodes) 145.366 * * [simplify]: iters left: 4 (49 enodes) 145.384 * * [simplify]: iters left: 3 (65 enodes) 145.402 * * [simplify]: iters left: 2 (73 enodes) 145.417 * * [simplify]: iters left: 1 (87 enodes) 145.439 * * [simplify]: Extracting #0: cost 1 inf + 0 145.439 * * [simplify]: Extracting #1: cost 19 inf + 0 145.439 * * [simplify]: Extracting #2: cost 28 inf + 2 145.439 * * [simplify]: Extracting #3: cost 26 inf + 288 145.440 * * [simplify]: Extracting #4: cost 22 inf + 939 145.440 * * [simplify]: Extracting #5: cost 19 inf + 1102 145.441 * * [simplify]: Extracting #6: cost 10 inf + 3077 145.442 * * [simplify]: Extracting #7: cost 0 inf + 6179 145.444 * [simplify]: Simplified to (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) a1)) 145.444 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cbrt a1)))) (/ (cbrt a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.444 * * * * [progress]: [ 399 / 614 ] simplifiying candidate # 145.445 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 145.445 * * [simplify]: iters left: 6 (13 enodes) 145.448 * * [simplify]: iters left: 5 (47 enodes) 145.456 * * [simplify]: iters left: 4 (76 enodes) 145.469 * * [simplify]: iters left: 3 (158 enodes) 145.519 * * [simplify]: iters left: 2 (344 enodes) 145.644 * * [simplify]: Extracting #0: cost 1 inf + 0 145.644 * * [simplify]: Extracting #1: cost 65 inf + 0 145.645 * * [simplify]: Extracting #2: cost 134 inf + 0 145.646 * * [simplify]: Extracting #3: cost 134 inf + 124 145.648 * * [simplify]: Extracting #4: cost 106 inf + 5872 145.659 * * [simplify]: Extracting #5: cost 14 inf + 37707 145.676 * * [simplify]: Extracting #6: cost 0 inf + 42700 145.692 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th))) 145.692 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.693 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 145.693 * * [simplify]: iters left: 6 (11 enodes) 145.699 * * [simplify]: iters left: 5 (37 enodes) 145.709 * * [simplify]: iters left: 4 (49 enodes) 145.716 * * [simplify]: iters left: 3 (65 enodes) 145.725 * * [simplify]: iters left: 2 (73 enodes) 145.733 * * [simplify]: iters left: 1 (87 enodes) 145.744 * * [simplify]: Extracting #0: cost 1 inf + 0 145.744 * * [simplify]: Extracting #1: cost 19 inf + 0 145.744 * * [simplify]: Extracting #2: cost 28 inf + 2 145.744 * * [simplify]: Extracting #3: cost 26 inf + 208 145.744 * * [simplify]: Extracting #4: cost 22 inf + 699 145.744 * * [simplify]: Extracting #5: cost 19 inf + 822 145.745 * * [simplify]: Extracting #6: cost 10 inf + 2677 145.745 * * [simplify]: Extracting #7: cost 0 inf + 5539 145.748 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) a1)) 145.748 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th))) (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 145.748 * * * * [progress]: [ 400 / 614 ] simplifiying candidate # 145.748 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 145.748 * * [simplify]: iters left: 6 (12 enodes) 145.752 * * [simplify]: iters left: 5 (44 enodes) 145.766 * * [simplify]: iters left: 4 (75 enodes) 145.793 * * [simplify]: iters left: 3 (146 enodes) 145.859 * * [simplify]: iters left: 2 (271 enodes) 145.982 * * [simplify]: iters left: 1 (471 enodes) 146.334 * * [simplify]: Extracting #0: cost 1 inf + 0 146.334 * * [simplify]: Extracting #1: cost 35 inf + 0 146.335 * * [simplify]: Extracting #2: cost 69 inf + 1 146.336 * * [simplify]: Extracting #3: cost 69 inf + 63 146.337 * * [simplify]: Extracting #4: cost 54 inf + 2363 146.343 * * [simplify]: Extracting #5: cost 9 inf + 16167 146.352 * * [simplify]: Extracting #6: cost 0 inf + 19061 146.357 * * [simplify]: Extracting #7: cost 0 inf + 18981 146.363 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 146.363 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.363 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 146.363 * * [simplify]: iters left: 6 (10 enodes) 146.366 * * [simplify]: iters left: 5 (34 enodes) 146.372 * * [simplify]: iters left: 4 (44 enodes) 146.379 * * [simplify]: iters left: 3 (56 enodes) 146.392 * * [simplify]: iters left: 2 (68 enodes) 146.407 * * [simplify]: iters left: 1 (75 enodes) 146.416 * * [simplify]: Extracting #0: cost 1 inf + 0 146.416 * * [simplify]: Extracting #1: cost 11 inf + 0 146.416 * * [simplify]: Extracting #2: cost 15 inf + 2 146.416 * * [simplify]: Extracting #3: cost 11 inf + 332 146.416 * * [simplify]: Extracting #4: cost 13 inf + 332 146.416 * * [simplify]: Extracting #5: cost 10 inf + 415 146.417 * * [simplify]: Extracting #6: cost 3 inf + 1865 146.417 * * [simplify]: Extracting #7: cost 1 inf + 2349 146.418 * * [simplify]: Extracting #8: cost 0 inf + 2591 146.418 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (cbrt (sqrt 2)))) 146.418 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.418 * * * * [progress]: [ 401 / 614 ] simplifiying candidate # 146.418 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 146.419 * * [simplify]: iters left: 6 (13 enodes) 146.422 * * [simplify]: iters left: 5 (47 enodes) 146.432 * * [simplify]: iters left: 4 (75 enodes) 146.445 * * [simplify]: iters left: 3 (146 enodes) 146.475 * * [simplify]: iters left: 2 (311 enodes) 146.629 * * [simplify]: Extracting #0: cost 1 inf + 0 146.629 * * [simplify]: Extracting #1: cost 64 inf + 0 146.630 * * [simplify]: Extracting #2: cost 134 inf + 0 146.630 * * [simplify]: Extracting #3: cost 132 inf + 205 146.631 * * [simplify]: Extracting #4: cost 111 inf + 4461 146.635 * * [simplify]: Extracting #5: cost 22 inf + 34164 146.643 * * [simplify]: Extracting #6: cost 0 inf + 41395 146.651 * * [simplify]: Extracting #7: cost 0 inf + 41315 146.660 * [simplify]: Simplified to (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 146.660 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.661 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 146.661 * * [simplify]: iters left: 6 (11 enodes) 146.667 * * [simplify]: iters left: 5 (37 enodes) 146.680 * * [simplify]: iters left: 4 (49 enodes) 146.693 * * [simplify]: iters left: 3 (65 enodes) 146.702 * * [simplify]: iters left: 2 (73 enodes) 146.710 * * [simplify]: iters left: 1 (87 enodes) 146.726 * * [simplify]: Extracting #0: cost 1 inf + 0 146.726 * * [simplify]: Extracting #1: cost 19 inf + 0 146.726 * * [simplify]: Extracting #2: cost 28 inf + 2 146.726 * * [simplify]: Extracting #3: cost 26 inf + 288 146.727 * * [simplify]: Extracting #4: cost 22 inf + 939 146.727 * * [simplify]: Extracting #5: cost 19 inf + 1102 146.728 * * [simplify]: Extracting #6: cost 10 inf + 2837 146.730 * * [simplify]: Extracting #7: cost 0 inf + 5539 146.732 * [simplify]: Simplified to (/ (cbrt a1) (/ (sqrt (cbrt (sqrt 2))) a1)) 146.732 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ (cbrt a1) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.732 * * * * [progress]: [ 402 / 614 ] simplifiying candidate # 146.732 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 146.732 * * [simplify]: iters left: 6 (12 enodes) 146.736 * * [simplify]: iters left: 5 (42 enodes) 146.743 * * [simplify]: iters left: 4 (62 enodes) 146.753 * * [simplify]: iters left: 3 (104 enodes) 146.776 * * [simplify]: iters left: 2 (156 enodes) 146.801 * * [simplify]: iters left: 1 (219 enodes) 146.846 * * [simplify]: Extracting #0: cost 1 inf + 0 146.846 * * [simplify]: Extracting #1: cost 36 inf + 0 146.847 * * [simplify]: Extracting #2: cost 69 inf + 0 146.847 * * [simplify]: Extracting #3: cost 68 inf + 104 146.848 * * [simplify]: Extracting #4: cost 38 inf + 6237 146.850 * * [simplify]: Extracting #5: cost 5 inf + 15547 146.854 * * [simplify]: Extracting #6: cost 0 inf + 16935 146.860 * [simplify]: Simplified to (/ (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt a1)) (sqrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) 146.861 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (/ (cbrt (sqrt 2)) (sqrt a1)) (sqrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.861 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 146.861 * * [simplify]: iters left: 6 (11 enodes) 146.867 * * [simplify]: iters left: 5 (37 enodes) 146.874 * * [simplify]: iters left: 4 (49 enodes) 146.884 * * [simplify]: iters left: 3 (65 enodes) 146.893 * * [simplify]: iters left: 2 (73 enodes) 146.905 * * [simplify]: iters left: 1 (87 enodes) 146.926 * * [simplify]: Extracting #0: cost 1 inf + 0 146.926 * * [simplify]: Extracting #1: cost 19 inf + 0 146.926 * * [simplify]: Extracting #2: cost 28 inf + 2 146.927 * * [simplify]: Extracting #3: cost 26 inf + 208 146.927 * * [simplify]: Extracting #4: cost 22 inf + 699 146.927 * * [simplify]: Extracting #5: cost 19 inf + 822 146.928 * * [simplify]: Extracting #6: cost 10 inf + 2437 146.930 * * [simplify]: Extracting #7: cost 0 inf + 4899 146.932 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) a1)) 146.932 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 146.932 * * * * [progress]: [ 403 / 614 ] simplifiying candidate # 146.933 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 146.933 * * [simplify]: iters left: 6 (11 enodes) 146.939 * * [simplify]: iters left: 5 (39 enodes) 146.952 * * [simplify]: iters left: 4 (53 enodes) 146.969 * * [simplify]: iters left: 3 (78 enodes) 146.982 * * [simplify]: iters left: 2 (113 enodes) 147.013 * * [simplify]: iters left: 1 (185 enodes) 147.100 * * [simplify]: Extracting #0: cost 1 inf + 0 147.101 * * [simplify]: Extracting #1: cost 21 inf + 0 147.101 * * [simplify]: Extracting #2: cost 44 inf + 1 147.102 * * [simplify]: Extracting #3: cost 43 inf + 124 147.102 * * [simplify]: Extracting #4: cost 32 inf + 1639 147.107 * * [simplify]: Extracting #5: cost 4 inf + 8710 147.112 * * [simplify]: Extracting #6: cost 0 inf + 9717 147.116 * [simplify]: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 147.116 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 147.117 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) 147.117 * * [simplify]: iters left: 6 (10 enodes) 147.123 * * [simplify]: iters left: 5 (34 enodes) 147.134 * * [simplify]: iters left: 4 (44 enodes) 147.147 * * [simplify]: iters left: 3 (56 enodes) 147.162 * * [simplify]: iters left: 2 (68 enodes) 147.179 * * [simplify]: iters left: 1 (75 enodes) 147.196 * * [simplify]: Extracting #0: cost 1 inf + 0 147.196 * * [simplify]: Extracting #1: cost 11 inf + 0 147.196 * * [simplify]: Extracting #2: cost 15 inf + 2 147.196 * * [simplify]: Extracting #3: cost 11 inf + 332 147.197 * * [simplify]: Extracting #4: cost 13 inf + 332 147.197 * * [simplify]: Extracting #5: cost 10 inf + 415 147.197 * * [simplify]: Extracting #6: cost 3 inf + 1665 147.198 * * [simplify]: Extracting #7: cost 1 inf + 2069 147.199 * * [simplify]: Extracting #8: cost 0 inf + 2271 147.200 * [simplify]: Simplified to (/ (* a1 a1) (sqrt (cbrt (sqrt 2)))) 147.200 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 147.200 * * * * [progress]: [ 404 / 614 ] simplifiying candidate # 147.201 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 147.201 * * [simplify]: iters left: 6 (13 enodes) 147.208 * * [simplify]: iters left: 5 (49 enodes) 147.225 * * [simplify]: iters left: 4 (75 enodes) 147.250 * * [simplify]: iters left: 3 (130 enodes) 147.296 * * [simplify]: iters left: 2 (280 enodes) 147.446 * * [simplify]: iters left: 1 (462 enodes) 147.704 * * [simplify]: Extracting #0: cost 1 inf + 0 147.705 * * [simplify]: Extracting #1: cost 33 inf + 0 147.705 * * [simplify]: Extracting #2: cost 97 inf + 1 147.705 * * [simplify]: Extracting #3: cost 91 inf + 510 147.706 * * [simplify]: Extracting #4: cost 56 inf + 6169 147.710 * * [simplify]: Extracting #5: cost 11 inf + 19657 147.714 * * [simplify]: Extracting #6: cost 0 inf + 23347 147.719 * [simplify]: Simplified to (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) 147.719 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 147.719 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 147.719 * * [simplify]: iters left: 6 (10 enodes) 147.722 * * [simplify]: iters left: 5 (34 enodes) 147.731 * * [simplify]: iters left: 4 (46 enodes) 147.746 * * [simplify]: iters left: 3 (62 enodes) 147.763 * * [simplify]: iters left: 2 (70 enodes) 147.779 * * [simplify]: iters left: 1 (84 enodes) 147.799 * * [simplify]: Extracting #0: cost 1 inf + 0 147.799 * * [simplify]: Extracting #1: cost 19 inf + 0 147.799 * * [simplify]: Extracting #2: cost 28 inf + 2 147.799 * * [simplify]: Extracting #3: cost 27 inf + 206 147.800 * * [simplify]: Extracting #4: cost 17 inf + 1102 147.801 * * [simplify]: Extracting #5: cost 5 inf + 3486 147.802 * * [simplify]: Extracting #6: cost 0 inf + 4657 147.804 * [simplify]: Simplified to (* a1 (/ (cbrt a1) (cbrt (sqrt 2)))) 147.804 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))) (cos th)) (* a1 (/ (cbrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 147.804 * * * * [progress]: [ 405 / 614 ] simplifiying candidate # 147.805 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt a1))) 147.805 * * [simplify]: iters left: 6 (12 enodes) 147.811 * * [simplify]: iters left: 5 (44 enodes) 147.820 * * [simplify]: iters left: 4 (62 enodes) 147.830 * * [simplify]: iters left: 3 (89 enodes) 147.848 * * [simplify]: iters left: 2 (136 enodes) 147.870 * * [simplify]: iters left: 1 (175 enodes) 147.921 * * [simplify]: Extracting #0: cost 1 inf + 0 147.921 * * [simplify]: Extracting #1: cost 21 inf + 0 147.921 * * [simplify]: Extracting #2: cost 47 inf + 1 147.922 * * [simplify]: Extracting #3: cost 45 inf + 105 147.923 * * [simplify]: Extracting #4: cost 13 inf + 5485 147.926 * * [simplify]: Extracting #5: cost 2 inf + 8109 147.929 * * [simplify]: Extracting #6: cost 0 inf + 8694 147.932 * [simplify]: Simplified to (/ (/ (sqrt a1) (/ (cbrt (sqrt 2)) (cos th))) (cbrt (sqrt 2))) 147.932 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (/ (cbrt (sqrt 2)) (cos th))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 147.933 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 147.933 * * [simplify]: iters left: 6 (10 enodes) 147.938 * * [simplify]: iters left: 5 (34 enodes) 147.952 * * [simplify]: iters left: 4 (46 enodes) 147.966 * * [simplify]: iters left: 3 (62 enodes) 147.983 * * [simplify]: iters left: 2 (70 enodes) 147.999 * * [simplify]: iters left: 1 (84 enodes) 148.019 * * [simplify]: Extracting #0: cost 1 inf + 0 148.019 * * [simplify]: Extracting #1: cost 19 inf + 0 148.019 * * [simplify]: Extracting #2: cost 28 inf + 2 148.019 * * [simplify]: Extracting #3: cost 27 inf + 126 148.020 * * [simplify]: Extracting #4: cost 17 inf + 822 148.021 * * [simplify]: Extracting #5: cost 5 inf + 2966 148.022 * * [simplify]: Extracting #6: cost 0 inf + 4017 148.024 * [simplify]: Simplified to (* a1 (/ (sqrt a1) (cbrt (sqrt 2)))) 148.024 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt a1) (/ (cbrt (sqrt 2)) (cos th))) (cbrt (sqrt 2))) (* a1 (/ (sqrt a1) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.024 * * * * [progress]: [ 406 / 614 ] simplifiying candidate # 148.024 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 1)) 148.024 * * [simplify]: iters left: 6 (10 enodes) 148.031 * * [simplify]: iters left: 5 (34 enodes) 148.042 * * [simplify]: iters left: 4 (43 enodes) 148.055 * * [simplify]: iters left: 3 (48 enodes) 148.068 * * [simplify]: iters left: 2 (49 enodes) 148.079 * * [simplify]: Extracting #0: cost 1 inf + 0 148.080 * * [simplify]: Extracting #1: cost 7 inf + 0 148.080 * * [simplify]: Extracting #2: cost 12 inf + 1 148.080 * * [simplify]: Extracting #3: cost 13 inf + 2 148.080 * * [simplify]: Extracting #4: cost 9 inf + 146 148.080 * * [simplify]: Extracting #5: cost 3 inf + 993 148.081 * * [simplify]: Extracting #6: cost 0 inf + 1739 148.081 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 148.081 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.082 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1)) 148.082 * * [simplify]: iters left: 6 (9 enodes) 148.087 * * [simplify]: iters left: 5 (31 enodes) 148.097 * * [simplify]: iters left: 4 (41 enodes) 148.112 * * [simplify]: iters left: 3 (53 enodes) 148.126 * * [simplify]: iters left: 2 (63 enodes) 148.141 * * [simplify]: iters left: 1 (71 enodes) 148.157 * * [simplify]: Extracting #0: cost 1 inf + 0 148.157 * * [simplify]: Extracting #1: cost 11 inf + 0 148.157 * * [simplify]: Extracting #2: cost 15 inf + 2 148.158 * * [simplify]: Extracting #3: cost 12 inf + 291 148.158 * * [simplify]: Extracting #4: cost 9 inf + 374 148.158 * * [simplify]: Extracting #5: cost 1 inf + 1547 148.159 * * [simplify]: Extracting #6: cost 0 inf + 1709 148.160 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 148.160 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.160 * * * * [progress]: [ 407 / 614 ] simplifiying candidate # 148.161 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 148.161 * * [simplify]: iters left: 6 (9 enodes) 148.165 * * [simplify]: iters left: 5 (31 enodes) 148.170 * * [simplify]: iters left: 4 (41 enodes) 148.177 * * [simplify]: iters left: 3 (48 enodes) 148.183 * * [simplify]: Extracting #0: cost 1 inf + 0 148.183 * * [simplify]: Extracting #1: cost 7 inf + 0 148.183 * * [simplify]: Extracting #2: cost 12 inf + 1 148.183 * * [simplify]: Extracting #3: cost 13 inf + 2 148.183 * * [simplify]: Extracting #4: cost 9 inf + 166 148.183 * * [simplify]: Extracting #5: cost 4 inf + 832 148.184 * * [simplify]: Extracting #6: cost 0 inf + 1739 148.184 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 148.184 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.184 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (sqrt 2)) a1)) 148.184 * * [simplify]: iters left: 6 (9 enodes) 148.187 * * [simplify]: iters left: 5 (31 enodes) 148.192 * * [simplify]: iters left: 4 (41 enodes) 148.198 * * [simplify]: iters left: 3 (53 enodes) 148.212 * * [simplify]: iters left: 2 (63 enodes) 148.229 * * [simplify]: iters left: 1 (71 enodes) 148.245 * * [simplify]: Extracting #0: cost 1 inf + 0 148.245 * * [simplify]: Extracting #1: cost 11 inf + 0 148.245 * * [simplify]: Extracting #2: cost 15 inf + 2 148.245 * * [simplify]: Extracting #3: cost 12 inf + 291 148.246 * * [simplify]: Extracting #4: cost 9 inf + 374 148.246 * * [simplify]: Extracting #5: cost 1 inf + 1547 148.247 * * [simplify]: Extracting #6: cost 0 inf + 1709 148.248 * [simplify]: Simplified to (/ (* a1 a1) (cbrt (sqrt 2))) 148.248 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.248 * * * * [progress]: [ 408 / 614 ] simplifiying candidate # 148.248 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 148.248 * * [simplify]: iters left: 6 (8 enodes) 148.253 * * [simplify]: iters left: 5 (28 enodes) 148.262 * * [simplify]: iters left: 4 (36 enodes) 148.274 * * [simplify]: iters left: 3 (42 enodes) 148.287 * * [simplify]: iters left: 2 (54 enodes) 148.297 * * [simplify]: iters left: 1 (84 enodes) 148.315 * * [simplify]: Extracting #0: cost 1 inf + 0 148.315 * * [simplify]: Extracting #1: cost 8 inf + 0 148.315 * * [simplify]: Extracting #2: cost 22 inf + 0 148.315 * * [simplify]: Extracting #3: cost 30 inf + 44 148.316 * * [simplify]: Extracting #4: cost 23 inf + 763 148.317 * * [simplify]: Extracting #5: cost 6 inf + 5757 148.318 * * [simplify]: Extracting #6: cost 0 inf + 8563 148.320 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 148.320 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (/ (/ a1 (/ 1 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.320 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ 1 a1)) 148.320 * * [simplify]: iters left: 6 (6 enodes) 148.323 * * [simplify]: iters left: 5 (22 enodes) 148.331 * * [simplify]: iters left: 4 (29 enodes) 148.338 * * [simplify]: iters left: 3 (30 enodes) 148.344 * * [simplify]: Extracting #0: cost 1 inf + 0 148.344 * * [simplify]: Extracting #1: cost 5 inf + 0 148.344 * * [simplify]: Extracting #2: cost 4 inf + 2 148.345 * * [simplify]: Extracting #3: cost 2 inf + 85 148.345 * * [simplify]: Extracting #4: cost 0 inf + 168 148.345 * [simplify]: Simplified to (* a1 a1) 148.345 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.345 * * * * [progress]: [ 409 / 614 ] simplifiying candidate # 148.345 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 148.345 * * [simplify]: iters left: 6 (9 enodes) 148.352 * * [simplify]: iters left: 5 (31 enodes) 148.358 * * [simplify]: iters left: 4 (35 enodes) 148.364 * * [simplify]: Extracting #0: cost 1 inf + 0 148.364 * * [simplify]: Extracting #1: cost 6 inf + 0 148.364 * * [simplify]: Extracting #2: cost 9 inf + 1 148.364 * * [simplify]: Extracting #3: cost 12 inf + 1 148.364 * * [simplify]: Extracting #4: cost 13 inf + 2 148.364 * * [simplify]: Extracting #5: cost 15 inf + 2 148.364 * * [simplify]: Extracting #6: cost 14 inf + 3 148.364 * * [simplify]: Extracting #7: cost 10 inf + 368 148.364 * * [simplify]: Extracting #8: cost 4 inf + 1700 148.365 * * [simplify]: Extracting #9: cost 0 inf + 2911 148.365 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (sqrt 2)) a1))) 148.365 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.365 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1))) 148.365 * * [simplify]: iters left: 6 (14 enodes) 148.369 * * [simplify]: iters left: 5 (51 enodes) 148.379 * * [simplify]: iters left: 4 (101 enodes) 148.410 * * [simplify]: iters left: 3 (230 enodes) 148.497 * * [simplify]: iters left: 2 (489 enodes) 148.831 * * [simplify]: Extracting #0: cost 1 inf + 0 148.831 * * [simplify]: Extracting #1: cost 63 inf + 0 148.832 * * [simplify]: Extracting #2: cost 112 inf + 2 148.834 * * [simplify]: Extracting #3: cost 109 inf + 329 148.835 * * [simplify]: Extracting #4: cost 104 inf + 916 148.841 * * [simplify]: Extracting #5: cost 36 inf + 21029 148.861 * * [simplify]: Extracting #6: cost 0 inf + 33307 148.879 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1)) 148.880 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.880 * * * * [progress]: [ 410 / 614 ] simplifiying candidate # 148.880 * [simplify]: Simplifying (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) 148.880 * * [simplify]: iters left: 6 (8 enodes) 148.885 * * [simplify]: iters left: 5 (26 enodes) 148.894 * * [simplify]: iters left: 4 (28 enodes) 148.903 * * [simplify]: Extracting #0: cost 1 inf + 0 148.903 * * [simplify]: Extracting #1: cost 4 inf + 0 148.903 * * [simplify]: Extracting #2: cost 5 inf + 1 148.903 * * [simplify]: Extracting #3: cost 8 inf + 1 148.903 * * [simplify]: Extracting #4: cost 9 inf + 2 148.903 * * [simplify]: Extracting #5: cost 11 inf + 2 148.903 * * [simplify]: Extracting #6: cost 10 inf + 3 148.903 * * [simplify]: Extracting #7: cost 6 inf + 368 148.904 * * [simplify]: Extracting #8: cost 1 inf + 1298 148.904 * * [simplify]: Extracting #9: cost 0 inf + 1541 148.904 * [simplify]: Simplified to (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) 148.904 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 148.905 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 148.905 * * [simplify]: iters left: 6 (14 enodes) 148.913 * * [simplify]: iters left: 5 (51 enodes) 148.932 * * [simplify]: iters left: 4 (101 enodes) 148.970 * * [simplify]: iters left: 3 (230 enodes) 149.086 * * [simplify]: iters left: 2 (489 enodes) 149.455 * * [simplify]: Extracting #0: cost 1 inf + 0 149.455 * * [simplify]: Extracting #1: cost 63 inf + 0 149.456 * * [simplify]: Extracting #2: cost 112 inf + 2 149.457 * * [simplify]: Extracting #3: cost 109 inf + 329 149.459 * * [simplify]: Extracting #4: cost 104 inf + 916 149.465 * * [simplify]: Extracting #5: cost 36 inf + 19629 149.474 * * [simplify]: Extracting #6: cost 0 inf + 30587 149.483 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1)) 149.483 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 149.483 * * * * [progress]: [ 411 / 614 ] simplifiying candidate # 149.483 * [simplify]: Simplifying (/ 1 (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 149.483 * * [simplify]: iters left: 6 (11 enodes) 149.487 * * [simplify]: iters left: 5 (39 enodes) 149.494 * * [simplify]: iters left: 4 (52 enodes) 149.510 * * [simplify]: iters left: 3 (62 enodes) 149.530 * * [simplify]: iters left: 2 (77 enodes) 149.546 * * [simplify]: iters left: 1 (86 enodes) 149.560 * * [simplify]: Extracting #0: cost 1 inf + 0 149.560 * * [simplify]: Extracting #1: cost 10 inf + 0 149.561 * * [simplify]: Extracting #2: cost 18 inf + 1 149.561 * * [simplify]: Extracting #3: cost 18 inf + 83 149.561 * * [simplify]: Extracting #4: cost 17 inf + 406 149.561 * * [simplify]: Extracting #5: cost 19 inf + 406 149.561 * * [simplify]: Extracting #6: cost 18 inf + 407 149.561 * * [simplify]: Extracting #7: cost 9 inf + 2259 149.562 * * [simplify]: Extracting #8: cost 0 inf + 5155 149.563 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) 149.563 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 149.563 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 149.563 * * [simplify]: iters left: 6 (15 enodes) 149.567 * * [simplify]: iters left: 5 (56 enodes) 149.578 * * [simplify]: iters left: 4 (116 enodes) 149.607 * * [simplify]: iters left: 3 (323 enodes) 149.818 * * [simplify]: Extracting #0: cost 1 inf + 0 149.818 * * [simplify]: Extracting #1: cost 95 inf + 0 149.819 * * [simplify]: Extracting #2: cost 212 inf + 2 149.820 * * [simplify]: Extracting #3: cost 213 inf + 452 149.822 * * [simplify]: Extracting #4: cost 150 inf + 17922 149.836 * * [simplify]: Extracting #5: cost 8 inf + 69789 149.849 * * [simplify]: Extracting #6: cost 0 inf + 73091 149.867 * [simplify]: Simplified to (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 149.867 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 149.867 * * * * [progress]: [ 412 / 614 ] simplifiying candidate # 149.868 * [simplify]: Simplifying (/ 1 (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 149.868 * * [simplify]: iters left: 6 (10 enodes) 149.873 * * [simplify]: iters left: 5 (34 enodes) 149.884 * * [simplify]: iters left: 4 (41 enodes) 149.898 * * [simplify]: iters left: 3 (43 enodes) 149.912 * * [simplify]: iters left: 2 (55 enodes) 149.928 * * [simplify]: Extracting #0: cost 1 inf + 0 149.928 * * [simplify]: Extracting #1: cost 7 inf + 0 149.928 * * [simplify]: Extracting #2: cost 12 inf + 1 149.928 * * [simplify]: Extracting #3: cost 11 inf + 84 149.928 * * [simplify]: Extracting #4: cost 13 inf + 84 149.929 * * [simplify]: Extracting #5: cost 15 inf + 84 149.929 * * [simplify]: Extracting #6: cost 14 inf + 85 149.929 * * [simplify]: Extracting #7: cost 11 inf + 288 149.929 * * [simplify]: Extracting #8: cost 4 inf + 1857 149.930 * * [simplify]: Extracting #9: cost 0 inf + 3065 149.931 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 149.931 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 149.932 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 149.932 * * [simplify]: iters left: 6 (15 enodes) 149.940 * * [simplify]: iters left: 5 (56 enodes) 149.961 * * [simplify]: iters left: 4 (116 enodes) 150.003 * * [simplify]: iters left: 3 (323 enodes) 150.161 * * [simplify]: Extracting #0: cost 1 inf + 0 150.161 * * [simplify]: Extracting #1: cost 95 inf + 0 150.163 * * [simplify]: Extracting #2: cost 212 inf + 2 150.164 * * [simplify]: Extracting #3: cost 213 inf + 412 150.169 * * [simplify]: Extracting #4: cost 150 inf + 16602 150.192 * * [simplify]: Extracting #5: cost 8 inf + 65149 150.219 * * [simplify]: Extracting #6: cost 0 inf + 68251 150.249 * [simplify]: Simplified to (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 150.249 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.249 * * * * [progress]: [ 413 / 614 ] simplifiying candidate # 150.250 * [simplify]: Simplifying (/ 1 (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 150.250 * * [simplify]: iters left: 6 (8 enodes) 150.255 * * [simplify]: iters left: 5 (26 enodes) 150.263 * * [simplify]: iters left: 4 (30 enodes) 150.267 * * [simplify]: Extracting #0: cost 1 inf + 0 150.267 * * [simplify]: Extracting #1: cost 4 inf + 0 150.267 * * [simplify]: Extracting #2: cost 5 inf + 1 150.267 * * [simplify]: Extracting #3: cost 7 inf + 1 150.267 * * [simplify]: Extracting #4: cost 9 inf + 1 150.268 * * [simplify]: Extracting #5: cost 11 inf + 1 150.268 * * [simplify]: Extracting #6: cost 10 inf + 2 150.268 * * [simplify]: Extracting #7: cost 8 inf + 84 150.268 * * [simplify]: Extracting #8: cost 5 inf + 607 150.268 * * [simplify]: Extracting #9: cost 1 inf + 1412 150.268 * * [simplify]: Extracting #10: cost 0 inf + 1694 150.268 * [simplify]: Simplified to (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 150.268 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.269 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 150.269 * * [simplify]: iters left: 6 (14 enodes) 150.273 * * [simplify]: iters left: 5 (53 enodes) 150.283 * * [simplify]: iters left: 4 (113 enodes) 150.308 * * [simplify]: iters left: 3 (306 enodes) 150.480 * * [simplify]: Extracting #0: cost 1 inf + 0 150.480 * * [simplify]: Extracting #1: cost 76 inf + 0 150.481 * * [simplify]: Extracting #2: cost 182 inf + 43 150.482 * * [simplify]: Extracting #3: cost 179 inf + 859 150.484 * * [simplify]: Extracting #4: cost 144 inf + 9753 150.492 * * [simplify]: Extracting #5: cost 20 inf + 48986 150.512 * * [simplify]: Extracting #6: cost 0 inf + 55702 150.523 * [simplify]: Simplified to (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (cbrt (sqrt 2)))) 150.523 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.523 * * * * [progress]: [ 414 / 614 ] simplifiying candidate # 150.524 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 150.524 * * [simplify]: iters left: 6 (11 enodes) 150.527 * * [simplify]: iters left: 5 (40 enodes) 150.534 * * [simplify]: iters left: 4 (53 enodes) 150.551 * * [simplify]: iters left: 3 (63 enodes) 150.571 * * [simplify]: iters left: 2 (78 enodes) 150.595 * * [simplify]: iters left: 1 (85 enodes) 150.608 * * [simplify]: Extracting #0: cost 1 inf + 0 150.608 * * [simplify]: Extracting #1: cost 10 inf + 0 150.608 * * [simplify]: Extracting #2: cost 18 inf + 1 150.608 * * [simplify]: Extracting #3: cost 18 inf + 164 150.609 * * [simplify]: Extracting #4: cost 20 inf + 285 150.609 * * [simplify]: Extracting #5: cost 18 inf + 407 150.609 * * [simplify]: Extracting #6: cost 10 inf + 1616 150.609 * * [simplify]: Extracting #7: cost 1 inf + 4313 150.610 * * [simplify]: Extracting #8: cost 0 inf + 4675 150.611 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt a1) (cbrt (fabs (cbrt 2))))) 150.611 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (cbrt a1) (cbrt (fabs (cbrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.611 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 150.611 * * [simplify]: iters left: 6 (17 enodes) 150.616 * * [simplify]: iters left: 5 (62 enodes) 150.630 * * [simplify]: iters left: 4 (122 enodes) 150.680 * * [simplify]: iters left: 3 (329 enodes) 150.886 * * [simplify]: Extracting #0: cost 1 inf + 0 150.886 * * [simplify]: Extracting #1: cost 101 inf + 0 150.888 * * [simplify]: Extracting #2: cost 216 inf + 2 150.889 * * [simplify]: Extracting #3: cost 218 inf + 452 150.891 * * [simplify]: Extracting #4: cost 176 inf + 10282 150.896 * * [simplify]: Extracting #5: cost 108 inf + 33720 150.911 * * [simplify]: Extracting #6: cost 18 inf + 77100 150.930 * * [simplify]: Extracting #7: cost 0 inf + 85084 150.960 * [simplify]: Simplified to (* (/ (* a1 (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 150.960 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (/ (cbrt a1) (cbrt (fabs (cbrt 2))))) (* (/ (* a1 (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.961 * * * * [progress]: [ 415 / 614 ] simplifiying candidate # 150.961 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 150.961 * * [simplify]: iters left: 6 (10 enodes) 150.967 * * [simplify]: iters left: 5 (35 enodes) 150.974 * * [simplify]: iters left: 4 (42 enodes) 150.980 * * [simplify]: iters left: 3 (44 enodes) 150.988 * * [simplify]: iters left: 2 (56 enodes) 150.996 * * [simplify]: Extracting #0: cost 1 inf + 0 150.996 * * [simplify]: Extracting #1: cost 7 inf + 0 150.996 * * [simplify]: Extracting #2: cost 12 inf + 1 150.996 * * [simplify]: Extracting #3: cost 13 inf + 43 150.996 * * [simplify]: Extracting #4: cost 15 inf + 84 150.996 * * [simplify]: Extracting #5: cost 14 inf + 85 150.996 * * [simplify]: Extracting #6: cost 6 inf + 1496 150.997 * * [simplify]: Extracting #7: cost 0 inf + 2745 150.997 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (fabs (cbrt 2)))) 150.997 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (fabs (cbrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 150.998 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 150.998 * * [simplify]: iters left: 6 (17 enodes) 151.002 * * [simplify]: iters left: 5 (62 enodes) 151.015 * * [simplify]: iters left: 4 (122 enodes) 151.041 * * [simplify]: iters left: 3 (329 enodes) 151.224 * * [simplify]: Extracting #0: cost 1 inf + 0 151.225 * * [simplify]: Extracting #1: cost 101 inf + 0 151.225 * * [simplify]: Extracting #2: cost 216 inf + 2 151.226 * * [simplify]: Extracting #3: cost 218 inf + 412 151.228 * * [simplify]: Extracting #4: cost 176 inf + 9362 151.233 * * [simplify]: Extracting #5: cost 108 inf + 31520 151.246 * * [simplify]: Extracting #6: cost 18 inf + 72580 151.269 * * [simplify]: Extracting #7: cost 0 inf + 80164 151.299 * [simplify]: Simplified to (* (/ (* a1 (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 151.299 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (fabs (cbrt 2)))) (* (/ (* a1 (cos th)) (cbrt (sqrt (cbrt 2)))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 151.299 * * * * [progress]: [ 416 / 614 ] simplifiying candidate # 151.299 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 151.300 * * [simplify]: iters left: 6 (8 enodes) 151.305 * * [simplify]: iters left: 5 (27 enodes) 151.313 * * [simplify]: iters left: 4 (31 enodes) 151.317 * * [simplify]: Extracting #0: cost 1 inf + 0 151.317 * * [simplify]: Extracting #1: cost 4 inf + 0 151.317 * * [simplify]: Extracting #2: cost 5 inf + 1 151.317 * * [simplify]: Extracting #3: cost 8 inf + 1 151.317 * * [simplify]: Extracting #4: cost 11 inf + 1 151.317 * * [simplify]: Extracting #5: cost 4 inf + 849 151.317 * * [simplify]: Extracting #6: cost 0 inf + 1534 151.318 * [simplify]: Simplified to (/ 1 (cbrt (fabs (cbrt 2)))) 151.318 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (fabs (cbrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 151.318 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) 151.318 * * [simplify]: iters left: 6 (16 enodes) 151.323 * * [simplify]: iters left: 5 (59 enodes) 151.334 * * [simplify]: iters left: 4 (119 enodes) 151.381 * * [simplify]: iters left: 3 (312 enodes) 151.550 * * [simplify]: Extracting #0: cost 1 inf + 0 151.550 * * [simplify]: Extracting #1: cost 80 inf + 0 151.551 * * [simplify]: Extracting #2: cost 182 inf + 43 151.553 * * [simplify]: Extracting #3: cost 181 inf + 717 151.555 * * [simplify]: Extracting #4: cost 140 inf + 12083 151.566 * * [simplify]: Extracting #5: cost 22 inf + 54396 151.583 * * [simplify]: Extracting #6: cost 0 inf + 64540 151.608 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2)))))) 151.608 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (fabs (cbrt 2)))) (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (/ (cbrt (sqrt (cbrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 151.608 * * * * [progress]: [ 417 / 614 ] simplifiying candidate # 151.609 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 151.609 * * [simplify]: iters left: 6 (10 enodes) 151.612 * * [simplify]: iters left: 5 (36 enodes) 151.618 * * [simplify]: iters left: 4 (49 enodes) 151.626 * * [simplify]: iters left: 3 (59 enodes) 151.636 * * [simplify]: iters left: 2 (74 enodes) 151.653 * * [simplify]: iters left: 1 (81 enodes) 151.677 * * [simplify]: Extracting #0: cost 1 inf + 0 151.677 * * [simplify]: Extracting #1: cost 10 inf + 0 151.677 * * [simplify]: Extracting #2: cost 18 inf + 1 151.677 * * [simplify]: Extracting #3: cost 19 inf + 2 151.678 * * [simplify]: Extracting #4: cost 17 inf + 406 151.678 * * [simplify]: Extracting #5: cost 16 inf + 407 151.678 * * [simplify]: Extracting #6: cost 12 inf + 651 151.679 * * [simplify]: Extracting #7: cost 2 inf + 3309 151.680 * * [simplify]: Extracting #8: cost 0 inf + 3793 151.681 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) 151.681 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 151.682 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 151.682 * * [simplify]: iters left: 6 (16 enodes) 151.690 * * [simplify]: iters left: 5 (59 enodes) 151.703 * * [simplify]: iters left: 4 (119 enodes) 151.731 * * [simplify]: iters left: 3 (324 enodes) 151.974 * * [simplify]: Extracting #0: cost 1 inf + 0 151.974 * * [simplify]: Extracting #1: cost 98 inf + 0 151.976 * * [simplify]: Extracting #2: cost 213 inf + 2 151.978 * * [simplify]: Extracting #3: cost 213 inf + 533 151.982 * * [simplify]: Extracting #4: cost 156 inf + 15766 152.003 * * [simplify]: Extracting #5: cost 23 inf + 65203 152.031 * * [simplify]: Extracting #6: cost 0 inf + 74790 152.052 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 152.052 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.052 * * * * [progress]: [ 418 / 614 ] simplifiying candidate # 152.052 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 152.052 * * [simplify]: iters left: 6 (9 enodes) 152.055 * * [simplify]: iters left: 5 (31 enodes) 152.060 * * [simplify]: iters left: 4 (38 enodes) 152.066 * * [simplify]: iters left: 3 (40 enodes) 152.073 * * [simplify]: iters left: 2 (52 enodes) 152.083 * * [simplify]: Extracting #0: cost 1 inf + 0 152.083 * * [simplify]: Extracting #1: cost 7 inf + 0 152.083 * * [simplify]: Extracting #2: cost 12 inf + 1 152.083 * * [simplify]: Extracting #3: cost 13 inf + 2 152.083 * * [simplify]: Extracting #4: cost 13 inf + 84 152.083 * * [simplify]: Extracting #5: cost 12 inf + 85 152.083 * * [simplify]: Extracting #6: cost 9 inf + 248 152.084 * * [simplify]: Extracting #7: cost 3 inf + 1418 152.084 * * [simplify]: Extracting #8: cost 0 inf + 2023 152.084 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) 152.084 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.085 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 152.085 * * [simplify]: iters left: 6 (16 enodes) 152.092 * * [simplify]: iters left: 5 (59 enodes) 152.113 * * [simplify]: iters left: 4 (119 enodes) 152.157 * * [simplify]: iters left: 3 (324 enodes) 152.326 * * [simplify]: Extracting #0: cost 1 inf + 0 152.326 * * [simplify]: Extracting #1: cost 98 inf + 0 152.327 * * [simplify]: Extracting #2: cost 213 inf + 2 152.328 * * [simplify]: Extracting #3: cost 213 inf + 453 152.330 * * [simplify]: Extracting #4: cost 156 inf + 14806 152.343 * * [simplify]: Extracting #5: cost 23 inf + 61003 152.361 * * [simplify]: Extracting #6: cost 0 inf + 69950 152.375 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 152.375 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.375 * * * * [progress]: [ 419 / 614 ] simplifiying candidate # 152.375 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) 1)) 152.375 * * [simplify]: iters left: 6 (7 enodes) 152.378 * * [simplify]: iters left: 5 (23 enodes) 152.386 * * [simplify]: iters left: 4 (27 enodes) 152.395 * * [simplify]: Extracting #0: cost 1 inf + 0 152.395 * * [simplify]: Extracting #1: cost 4 inf + 0 152.395 * * [simplify]: Extracting #2: cost 5 inf + 1 152.395 * * [simplify]: Extracting #3: cost 7 inf + 1 152.395 * * [simplify]: Extracting #4: cost 9 inf + 1 152.395 * * [simplify]: Extracting #5: cost 8 inf + 2 152.395 * * [simplify]: Extracting #6: cost 4 inf + 246 152.395 * * [simplify]: Extracting #7: cost 2 inf + 609 152.396 * * [simplify]: Extracting #8: cost 0 inf + 972 152.396 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (sqrt 2)))) 152.396 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.397 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 152.397 * * [simplify]: iters left: 6 (15 enodes) 152.405 * * [simplify]: iters left: 5 (56 enodes) 152.426 * * [simplify]: iters left: 4 (116 enodes) 152.476 * * [simplify]: iters left: 3 (308 enodes) 152.613 * * [simplify]: Extracting #0: cost 1 inf + 0 152.614 * * [simplify]: Extracting #1: cost 75 inf + 0 152.614 * * [simplify]: Extracting #2: cost 177 inf + 43 152.615 * * [simplify]: Extracting #3: cost 178 inf + 514 152.617 * * [simplify]: Extracting #4: cost 129 inf + 12571 152.626 * * [simplify]: Extracting #5: cost 16 inf + 49339 152.637 * * [simplify]: Extracting #6: cost 0 inf + 55526 152.658 * * [simplify]: Extracting #7: cost 0 inf + 55486 152.669 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cos th)) 152.669 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (* (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cos th))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.669 * * * * [progress]: [ 420 / 614 ] simplifiying candidate # 152.670 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 152.670 * * [simplify]: iters left: 6 (8 enodes) 152.673 * * [simplify]: iters left: 5 (30 enodes) 152.680 * * [simplify]: iters left: 4 (43 enodes) 152.688 * * [simplify]: iters left: 3 (50 enodes) 152.702 * * [simplify]: iters left: 2 (60 enodes) 152.718 * * [simplify]: iters left: 1 (68 enodes) 152.734 * * [simplify]: Extracting #0: cost 1 inf + 0 152.734 * * [simplify]: Extracting #1: cost 6 inf + 0 152.734 * * [simplify]: Extracting #2: cost 9 inf + 1 152.735 * * [simplify]: Extracting #3: cost 0 inf + 974 152.735 * [simplify]: Simplified to (* (cbrt a1) (cbrt a1)) 152.735 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 152.736 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 152.736 * * [simplify]: iters left: 6 (14 enodes) 152.743 * * [simplify]: iters left: 5 (53 enodes) 152.763 * * [simplify]: iters left: 4 (113 enodes) 152.812 * * [simplify]: iters left: 3 (304 enodes) 152.974 * * [simplify]: Extracting #0: cost 1 inf + 0 152.975 * * [simplify]: Extracting #1: cost 78 inf + 0 152.976 * * [simplify]: Extracting #2: cost 161 inf + 204 152.978 * * [simplify]: Extracting #3: cost 153 inf + 999 152.980 * * [simplify]: Extracting #4: cost 132 inf + 4863 152.992 * * [simplify]: Extracting #5: cost 34 inf + 32421 153.007 * * [simplify]: Extracting #6: cost 0 inf + 43734 153.015 * [simplify]: Simplified to (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1)) 153.016 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.016 * * * * [progress]: [ 421 / 614 ] simplifiying candidate # 153.016 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 1)) (sqrt a1))) 153.016 * * [simplify]: iters left: 6 (7 enodes) 153.019 * * [simplify]: iters left: 5 (25 enodes) 153.026 * * [simplify]: iters left: 4 (32 enodes) 153.031 * * [simplify]: iters left: 3 (34 enodes) 153.038 * * [simplify]: iters left: 2 (38 enodes) 153.045 * * [simplify]: iters left: 1 (40 enodes) 153.050 * * [simplify]: Extracting #0: cost 1 inf + 0 153.050 * * [simplify]: Extracting #1: cost 5 inf + 0 153.050 * * [simplify]: Extracting #2: cost 3 inf + 43 153.050 * * [simplify]: Extracting #3: cost 1 inf + 166 153.050 * * [simplify]: Extracting #4: cost 0 inf + 248 153.050 * [simplify]: Simplified to (sqrt a1) 153.050 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt a1) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.051 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 153.051 * * [simplify]: iters left: 6 (14 enodes) 153.055 * * [simplify]: iters left: 5 (53 enodes) 153.065 * * [simplify]: iters left: 4 (113 enodes) 153.103 * * [simplify]: iters left: 3 (304 enodes) 153.238 * * [simplify]: Extracting #0: cost 1 inf + 0 153.238 * * [simplify]: Extracting #1: cost 78 inf + 0 153.239 * * [simplify]: Extracting #2: cost 161 inf + 124 153.240 * * [simplify]: Extracting #3: cost 153 inf + 759 153.241 * * [simplify]: Extracting #4: cost 132 inf + 4223 153.247 * * [simplify]: Extracting #5: cost 34 inf + 29461 153.256 * * [simplify]: Extracting #6: cost 0 inf + 39894 153.268 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1)) 153.268 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt a1) (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.268 * * * * [progress]: [ 422 / 614 ] simplifiying candidate # 153.269 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 1)) 1)) 153.269 * * [simplify]: iters left: 6 (5 enodes) 153.276 * * [simplify]: iters left: 5 (17 enodes) 153.281 * * [simplify]: iters left: 4 (19 enodes) 153.284 * * [simplify]: Extracting #0: cost 1 inf + 0 153.284 * * [simplify]: Extracting #1: cost 0 inf + 1 153.285 * [simplify]: Simplified to 1 153.285 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.285 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 153.285 * * [simplify]: iters left: 6 (13 enodes) 153.292 * * [simplify]: iters left: 5 (50 enodes) 153.305 * * [simplify]: iters left: 4 (110 enodes) 153.336 * * [simplify]: iters left: 3 (271 enodes) 153.501 * * [simplify]: Extracting #0: cost 1 inf + 0 153.502 * * [simplify]: Extracting #1: cost 60 inf + 0 153.502 * * [simplify]: Extracting #2: cost 131 inf + 43 153.503 * * [simplify]: Extracting #3: cost 122 inf + 719 153.504 * * [simplify]: Extracting #4: cost 104 inf + 3270 153.508 * * [simplify]: Extracting #5: cost 17 inf + 24493 153.514 * * [simplify]: Extracting #6: cost 0 inf + 28962 153.521 * [simplify]: Simplified to (/ (* a1 (* a1 (cos th))) (sqrt 2)) 153.521 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* 1 (/ (* a1 (* a1 (cos th))) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.521 * * * * [progress]: [ 423 / 614 ] simplifiying candidate # 153.521 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 153.521 * * [simplify]: iters left: 6 (10 enodes) 153.524 * * [simplify]: iters left: 5 (36 enodes) 153.535 * * [simplify]: iters left: 4 (49 enodes) 153.554 * * [simplify]: iters left: 3 (59 enodes) 153.573 * * [simplify]: iters left: 2 (74 enodes) 153.596 * * [simplify]: iters left: 1 (81 enodes) 153.619 * * [simplify]: Extracting #0: cost 1 inf + 0 153.619 * * [simplify]: Extracting #1: cost 10 inf + 0 153.619 * * [simplify]: Extracting #2: cost 18 inf + 1 153.619 * * [simplify]: Extracting #3: cost 19 inf + 2 153.620 * * [simplify]: Extracting #4: cost 17 inf + 406 153.620 * * [simplify]: Extracting #5: cost 16 inf + 407 153.620 * * [simplify]: Extracting #6: cost 12 inf + 651 153.621 * * [simplify]: Extracting #7: cost 2 inf + 3309 153.622 * * [simplify]: Extracting #8: cost 0 inf + 3793 153.624 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) 153.624 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.624 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 153.624 * * [simplify]: iters left: 6 (16 enodes) 153.629 * * [simplify]: iters left: 5 (59 enodes) 153.641 * * [simplify]: iters left: 4 (119 enodes) 153.679 * * [simplify]: iters left: 3 (324 enodes) 153.876 * * [simplify]: Extracting #0: cost 1 inf + 0 153.877 * * [simplify]: Extracting #1: cost 98 inf + 0 153.878 * * [simplify]: Extracting #2: cost 213 inf + 2 153.880 * * [simplify]: Extracting #3: cost 213 inf + 533 153.885 * * [simplify]: Extracting #4: cost 156 inf + 15766 153.906 * * [simplify]: Extracting #5: cost 23 inf + 65203 153.933 * * [simplify]: Extracting #6: cost 0 inf + 74790 153.951 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 153.951 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) (cbrt a1)) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.951 * * * * [progress]: [ 424 / 614 ] simplifiying candidate # 153.952 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 153.952 * * [simplify]: iters left: 6 (9 enodes) 153.955 * * [simplify]: iters left: 5 (31 enodes) 153.962 * * [simplify]: iters left: 4 (38 enodes) 153.968 * * [simplify]: iters left: 3 (40 enodes) 153.975 * * [simplify]: iters left: 2 (52 enodes) 153.987 * * [simplify]: Extracting #0: cost 1 inf + 0 153.988 * * [simplify]: Extracting #1: cost 7 inf + 0 153.988 * * [simplify]: Extracting #2: cost 12 inf + 1 153.988 * * [simplify]: Extracting #3: cost 13 inf + 2 153.988 * * [simplify]: Extracting #4: cost 13 inf + 84 153.988 * * [simplify]: Extracting #5: cost 12 inf + 85 153.988 * * [simplify]: Extracting #6: cost 9 inf + 248 153.989 * * [simplify]: Extracting #7: cost 3 inf + 1418 153.989 * * [simplify]: Extracting #8: cost 0 inf + 2023 153.990 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) 153.990 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 153.990 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 153.991 * * [simplify]: iters left: 6 (16 enodes) 153.999 * * [simplify]: iters left: 5 (59 enodes) 154.013 * * [simplify]: iters left: 4 (119 enodes) 154.045 * * [simplify]: iters left: 3 (324 enodes) 154.212 * * [simplify]: Extracting #0: cost 1 inf + 0 154.213 * * [simplify]: Extracting #1: cost 98 inf + 0 154.215 * * [simplify]: Extracting #2: cost 213 inf + 2 154.217 * * [simplify]: Extracting #3: cost 213 inf + 453 154.221 * * [simplify]: Extracting #4: cost 156 inf + 14806 154.243 * * [simplify]: Extracting #5: cost 23 inf + 61003 154.270 * * [simplify]: Extracting #6: cost 0 inf + 69950 154.283 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 154.284 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.284 * * * * [progress]: [ 425 / 614 ] simplifiying candidate # 154.284 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) 1)) 154.284 * * [simplify]: iters left: 6 (7 enodes) 154.286 * * [simplify]: iters left: 5 (23 enodes) 154.291 * * [simplify]: iters left: 4 (27 enodes) 154.295 * * [simplify]: Extracting #0: cost 1 inf + 0 154.295 * * [simplify]: Extracting #1: cost 4 inf + 0 154.295 * * [simplify]: Extracting #2: cost 5 inf + 1 154.295 * * [simplify]: Extracting #3: cost 7 inf + 1 154.295 * * [simplify]: Extracting #4: cost 9 inf + 1 154.295 * * [simplify]: Extracting #5: cost 8 inf + 2 154.295 * * [simplify]: Extracting #6: cost 4 inf + 246 154.295 * * [simplify]: Extracting #7: cost 2 inf + 609 154.296 * * [simplify]: Extracting #8: cost 0 inf + 972 154.296 * [simplify]: Simplified to (/ 1 (cbrt (sqrt (sqrt 2)))) 154.296 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.296 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 154.296 * * [simplify]: iters left: 6 (15 enodes) 154.300 * * [simplify]: iters left: 5 (56 enodes) 154.323 * * [simplify]: iters left: 4 (116 enodes) 154.371 * * [simplify]: iters left: 3 (308 enodes) 154.561 * * [simplify]: Extracting #0: cost 1 inf + 0 154.561 * * [simplify]: Extracting #1: cost 75 inf + 0 154.562 * * [simplify]: Extracting #2: cost 177 inf + 43 154.563 * * [simplify]: Extracting #3: cost 178 inf + 514 154.565 * * [simplify]: Extracting #4: cost 129 inf + 12571 154.574 * * [simplify]: Extracting #5: cost 16 inf + 49339 154.584 * * [simplify]: Extracting #6: cost 0 inf + 55526 154.606 * * [simplify]: Extracting #7: cost 0 inf + 55486 154.628 * [simplify]: Simplified to (* (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cos th)) 154.628 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt (sqrt 2)))) (* (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cos th))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.628 * * * * [progress]: [ 426 / 614 ] simplifiying candidate # 154.629 * [simplify]: Simplifying (/ 1 (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 154.629 * * [simplify]: iters left: 6 (7 enodes) 154.634 * * [simplify]: iters left: 5 (27 enodes) 154.639 * * [simplify]: iters left: 4 (38 enodes) 154.645 * * [simplify]: iters left: 3 (49 enodes) 154.651 * * [simplify]: iters left: 2 (56 enodes) 154.658 * * [simplify]: iters left: 1 (61 enodes) 154.666 * * [simplify]: Extracting #0: cost 1 inf + 0 154.666 * * [simplify]: Extracting #1: cost 6 inf + 0 154.666 * * [simplify]: Extracting #2: cost 9 inf + 1 154.666 * * [simplify]: Extracting #3: cost 3 inf + 569 154.667 * * [simplify]: Extracting #4: cost 0 inf + 974 154.667 * [simplify]: Simplified to (* (cbrt a1) (cbrt a1)) 154.667 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.667 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 154.667 * * [simplify]: iters left: 6 (14 enodes) 154.671 * * [simplify]: iters left: 5 (53 enodes) 154.684 * * [simplify]: iters left: 4 (113 enodes) 154.731 * * [simplify]: iters left: 3 (304 enodes) 154.929 * * [simplify]: Extracting #0: cost 1 inf + 0 154.929 * * [simplify]: Extracting #1: cost 78 inf + 0 154.931 * * [simplify]: Extracting #2: cost 161 inf + 204 154.932 * * [simplify]: Extracting #3: cost 153 inf + 999 154.934 * * [simplify]: Extracting #4: cost 132 inf + 4863 154.939 * * [simplify]: Extracting #5: cost 34 inf + 32421 154.948 * * [simplify]: Extracting #6: cost 0 inf + 43734 154.957 * [simplify]: Simplified to (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1)) 154.957 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.957 * * * * [progress]: [ 427 / 614 ] simplifiying candidate # 154.957 * [simplify]: Simplifying (/ 1 (/ (cbrt 1) (sqrt a1))) 154.957 * * [simplify]: iters left: 5 (6 enodes) 154.960 * * [simplify]: iters left: 4 (22 enodes) 154.965 * * [simplify]: iters left: 3 (26 enodes) 154.972 * * [simplify]: iters left: 2 (30 enodes) 154.978 * * [simplify]: iters left: 1 (32 enodes) 154.986 * * [simplify]: Extracting #0: cost 1 inf + 0 154.986 * * [simplify]: Extracting #1: cost 5 inf + 0 154.986 * * [simplify]: Extracting #2: cost 3 inf + 43 154.986 * * [simplify]: Extracting #3: cost 1 inf + 166 154.987 * * [simplify]: Extracting #4: cost 0 inf + 248 154.987 * [simplify]: Simplified to (sqrt a1) 154.987 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt a1) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 154.987 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 154.987 * * [simplify]: iters left: 6 (14 enodes) 154.995 * * [simplify]: iters left: 5 (53 enodes) 155.014 * * [simplify]: iters left: 4 (113 enodes) 155.064 * * [simplify]: iters left: 3 (304 enodes) 155.228 * * [simplify]: Extracting #0: cost 1 inf + 0 155.228 * * [simplify]: Extracting #1: cost 78 inf + 0 155.229 * * [simplify]: Extracting #2: cost 161 inf + 124 155.231 * * [simplify]: Extracting #3: cost 153 inf + 759 155.233 * * [simplify]: Extracting #4: cost 132 inf + 4223 155.243 * * [simplify]: Extracting #5: cost 34 inf + 29461 155.252 * * [simplify]: Extracting #6: cost 0 inf + 39894 155.261 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1)) 155.261 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt a1) (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 155.261 * * * * [progress]: [ 428 / 614 ] simplifiying candidate # 155.261 * [simplify]: Simplifying (/ 1 (/ (cbrt 1) 1)) 155.261 * * [simplify]: iters left: 5 (4 enodes) 155.266 * * [simplify]: iters left: 4 (14 enodes) 155.268 * * [simplify]: iters left: 3 (16 enodes) 155.269 * * [simplify]: Extracting #0: cost 1 inf + 0 155.269 * * [simplify]: Extracting #1: cost 0 inf + 1 155.269 * [simplify]: Simplified to 1 155.270 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 155.270 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 155.270 * * [simplify]: iters left: 6 (13 enodes) 155.277 * * [simplify]: iters left: 5 (50 enodes) 155.297 * * [simplify]: iters left: 4 (110 enodes) 155.348 * * [simplify]: iters left: 3 (271 enodes) 155.471 * * [simplify]: Extracting #0: cost 1 inf + 0 155.471 * * [simplify]: Extracting #1: cost 60 inf + 0 155.472 * * [simplify]: Extracting #2: cost 131 inf + 43 155.473 * * [simplify]: Extracting #3: cost 122 inf + 719 155.475 * * [simplify]: Extracting #4: cost 104 inf + 3270 155.484 * * [simplify]: Extracting #5: cost 17 inf + 24493 155.496 * * [simplify]: Extracting #6: cost 0 inf + 28962 155.509 * [simplify]: Simplified to (/ (* a1 (* a1 (cos th))) (sqrt 2)) 155.510 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* 1 (/ (* a1 (* a1 (cos th))) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 155.510 * * * * [progress]: [ 429 / 614 ] simplifiying candidate # 155.511 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 155.511 * * [simplify]: iters left: 6 (11 enodes) 155.517 * * [simplify]: iters left: 5 (43 enodes) 155.536 * * [simplify]: iters left: 4 (74 enodes) 155.561 * * [simplify]: iters left: 3 (109 enodes) 155.601 * * [simplify]: iters left: 2 (169 enodes) 155.670 * * [simplify]: iters left: 1 (193 enodes) 155.700 * * [simplify]: Extracting #0: cost 1 inf + 0 155.700 * * [simplify]: Extracting #1: cost 16 inf + 0 155.700 * * [simplify]: Extracting #2: cost 30 inf + 1 155.700 * * [simplify]: Extracting #3: cost 28 inf + 325 155.700 * * [simplify]: Extracting #4: cost 29 inf + 406 155.700 * * [simplify]: Extracting #5: cost 28 inf + 407 155.701 * * [simplify]: Extracting #6: cost 17 inf + 2863 155.702 * * [simplify]: Extracting #7: cost 2 inf + 7691 155.704 * * [simplify]: Extracting #8: cost 0 inf + 8295 155.705 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) 155.705 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 155.706 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 155.706 * * [simplify]: iters left: 6 (15 enodes) 155.709 * * [simplify]: iters left: 5 (56 enodes) 155.721 * * [simplify]: iters left: 4 (116 enodes) 155.760 * * [simplify]: iters left: 3 (323 enodes) 155.933 * * [simplify]: Extracting #0: cost 1 inf + 0 155.934 * * [simplify]: Extracting #1: cost 95 inf + 0 155.935 * * [simplify]: Extracting #2: cost 212 inf + 2 155.937 * * [simplify]: Extracting #3: cost 213 inf + 452 155.942 * * [simplify]: Extracting #4: cost 150 inf + 17922 155.964 * * [simplify]: Extracting #5: cost 8 inf + 69789 155.990 * * [simplify]: Extracting #6: cost 0 inf + 73091 156.017 * [simplify]: Simplified to (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 156.017 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.017 * * * * [progress]: [ 430 / 614 ] simplifiying candidate # 156.018 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 156.018 * * [simplify]: iters left: 6 (10 enodes) 156.023 * * [simplify]: iters left: 5 (36 enodes) 156.034 * * [simplify]: iters left: 4 (50 enodes) 156.045 * * [simplify]: iters left: 3 (65 enodes) 156.059 * * [simplify]: iters left: 2 (90 enodes) 156.087 * * [simplify]: iters left: 1 (94 enodes) 156.113 * * [simplify]: Extracting #0: cost 1 inf + 0 156.113 * * [simplify]: Extracting #1: cost 11 inf + 0 156.113 * * [simplify]: Extracting #2: cost 20 inf + 1 156.113 * * [simplify]: Extracting #3: cost 19 inf + 84 156.114 * * [simplify]: Extracting #4: cost 21 inf + 84 156.114 * * [simplify]: Extracting #5: cost 20 inf + 85 156.114 * * [simplify]: Extracting #6: cost 9 inf + 2220 156.116 * * [simplify]: Extracting #7: cost 1 inf + 4435 156.117 * * [simplify]: Extracting #8: cost 0 inf + 4757 156.119 * [simplify]: Simplified to (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 156.119 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.119 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 156.120 * * [simplify]: iters left: 6 (15 enodes) 156.127 * * [simplify]: iters left: 5 (56 enodes) 156.146 * * [simplify]: iters left: 4 (116 enodes) 156.172 * * [simplify]: iters left: 3 (323 enodes) 156.357 * * [simplify]: Extracting #0: cost 1 inf + 0 156.357 * * [simplify]: Extracting #1: cost 95 inf + 0 156.358 * * [simplify]: Extracting #2: cost 212 inf + 2 156.359 * * [simplify]: Extracting #3: cost 213 inf + 412 156.362 * * [simplify]: Extracting #4: cost 150 inf + 16602 156.381 * * [simplify]: Extracting #5: cost 8 inf + 65149 156.407 * * [simplify]: Extracting #6: cost 0 inf + 68251 156.424 * [simplify]: Simplified to (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 156.424 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.424 * * * * [progress]: [ 431 / 614 ] simplifiying candidate # 156.424 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 156.424 * * [simplify]: iters left: 6 (8 enodes) 156.427 * * [simplify]: iters left: 5 (28 enodes) 156.433 * * [simplify]: iters left: 4 (41 enodes) 156.442 * * [simplify]: iters left: 3 (44 enodes) 156.453 * * [simplify]: iters left: 2 (45 enodes) 156.464 * * [simplify]: Extracting #0: cost 1 inf + 0 156.464 * * [simplify]: Extracting #1: cost 6 inf + 0 156.464 * * [simplify]: Extracting #2: cost 9 inf + 1 156.464 * * [simplify]: Extracting #3: cost 11 inf + 1 156.464 * * [simplify]: Extracting #4: cost 13 inf + 1 156.464 * * [simplify]: Extracting #5: cost 12 inf + 2 156.464 * * [simplify]: Extracting #6: cost 9 inf + 205 156.465 * * [simplify]: Extracting #7: cost 0 inf + 2258 156.465 * [simplify]: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 156.465 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.466 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 156.466 * * [simplify]: iters left: 6 (14 enodes) 156.471 * * [simplify]: iters left: 5 (53 enodes) 156.481 * * [simplify]: iters left: 4 (113 enodes) 156.511 * * [simplify]: iters left: 3 (306 enodes) 156.704 * * [simplify]: Extracting #0: cost 1 inf + 0 156.704 * * [simplify]: Extracting #1: cost 76 inf + 0 156.706 * * [simplify]: Extracting #2: cost 182 inf + 43 156.707 * * [simplify]: Extracting #3: cost 179 inf + 859 156.711 * * [simplify]: Extracting #4: cost 144 inf + 9753 156.728 * * [simplify]: Extracting #5: cost 20 inf + 48986 156.744 * * [simplify]: Extracting #6: cost 0 inf + 55702 156.754 * [simplify]: Simplified to (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (cbrt (sqrt 2)))) 156.754 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.755 * * * * [progress]: [ 432 / 614 ] simplifiying candidate # 156.755 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 156.755 * * [simplify]: iters left: 6 (10 enodes) 156.758 * * [simplify]: iters left: 5 (36 enodes) 156.765 * * [simplify]: iters left: 4 (49 enodes) 156.773 * * [simplify]: iters left: 3 (59 enodes) 156.787 * * [simplify]: iters left: 2 (74 enodes) 156.798 * * [simplify]: iters left: 1 (81 enodes) 156.810 * * [simplify]: Extracting #0: cost 1 inf + 0 156.810 * * [simplify]: Extracting #1: cost 10 inf + 0 156.810 * * [simplify]: Extracting #2: cost 18 inf + 1 156.810 * * [simplify]: Extracting #3: cost 19 inf + 2 156.811 * * [simplify]: Extracting #4: cost 17 inf + 406 156.811 * * [simplify]: Extracting #5: cost 16 inf + 407 156.811 * * [simplify]: Extracting #6: cost 12 inf + 731 156.812 * * [simplify]: Extracting #7: cost 2 inf + 3389 156.814 * * [simplify]: Extracting #8: cost 0 inf + 3873 156.815 * [simplify]: Simplified to (* (/ (cbrt a1) (sqrt (cbrt (sqrt 2)))) (cbrt a1)) 156.815 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (sqrt (cbrt (sqrt 2)))) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 156.816 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 156.816 * * [simplify]: iters left: 6 (15 enodes) 156.824 * * [simplify]: iters left: 5 (56 enodes) 156.847 * * [simplify]: iters left: 4 (116 enodes) 156.877 * * [simplify]: iters left: 3 (323 enodes) 157.044 * * [simplify]: Extracting #0: cost 1 inf + 0 157.045 * * [simplify]: Extracting #1: cost 95 inf + 0 157.045 * * [simplify]: Extracting #2: cost 212 inf + 2 157.046 * * [simplify]: Extracting #3: cost 213 inf + 452 157.049 * * [simplify]: Extracting #4: cost 150 inf + 16882 157.066 * * [simplify]: Extracting #5: cost 8 inf + 64829 157.092 * * [simplify]: Extracting #6: cost 0 inf + 67811 157.122 * [simplify]: Simplified to (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) 157.122 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt a1) (sqrt (cbrt (sqrt 2)))) (cbrt a1)) (/ (* (cbrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.122 * * * * [progress]: [ 433 / 614 ] simplifiying candidate # 157.122 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 157.122 * * [simplify]: iters left: 6 (9 enodes) 157.128 * * [simplify]: iters left: 5 (31 enodes) 157.138 * * [simplify]: iters left: 4 (38 enodes) 157.150 * * [simplify]: iters left: 3 (40 enodes) 157.163 * * [simplify]: iters left: 2 (52 enodes) 157.178 * * [simplify]: Extracting #0: cost 1 inf + 0 157.178 * * [simplify]: Extracting #1: cost 7 inf + 0 157.178 * * [simplify]: Extracting #2: cost 12 inf + 1 157.178 * * [simplify]: Extracting #3: cost 13 inf + 2 157.178 * * [simplify]: Extracting #4: cost 13 inf + 84 157.179 * * [simplify]: Extracting #5: cost 12 inf + 85 157.179 * * [simplify]: Extracting #6: cost 9 inf + 288 157.179 * * [simplify]: Extracting #7: cost 3 inf + 1498 157.180 * * [simplify]: Extracting #8: cost 0 inf + 2103 157.181 * [simplify]: Simplified to (/ (sqrt a1) (sqrt (cbrt (sqrt 2)))) 157.181 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (sqrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.181 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 157.181 * * [simplify]: iters left: 6 (15 enodes) 157.189 * * [simplify]: iters left: 5 (56 enodes) 157.206 * * [simplify]: iters left: 4 (116 enodes) 157.232 * * [simplify]: iters left: 3 (323 enodes) 157.400 * * [simplify]: Extracting #0: cost 1 inf + 0 157.401 * * [simplify]: Extracting #1: cost 95 inf + 0 157.402 * * [simplify]: Extracting #2: cost 212 inf + 2 157.404 * * [simplify]: Extracting #3: cost 213 inf + 412 157.409 * * [simplify]: Extracting #4: cost 150 inf + 15562 157.432 * * [simplify]: Extracting #5: cost 8 inf + 60189 157.459 * * [simplify]: Extracting #6: cost 0 inf + 62971 157.486 * [simplify]: Simplified to (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) 157.486 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (* (sqrt a1) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.486 * * * * [progress]: [ 434 / 614 ] simplifiying candidate # 157.487 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) 1)) 157.487 * * [simplify]: iters left: 6 (7 enodes) 157.491 * * [simplify]: iters left: 5 (23 enodes) 157.500 * * [simplify]: iters left: 4 (27 enodes) 157.508 * * [simplify]: Extracting #0: cost 1 inf + 0 157.508 * * [simplify]: Extracting #1: cost 4 inf + 0 157.508 * * [simplify]: Extracting #2: cost 5 inf + 1 157.508 * * [simplify]: Extracting #3: cost 7 inf + 1 157.508 * * [simplify]: Extracting #4: cost 9 inf + 1 157.508 * * [simplify]: Extracting #5: cost 8 inf + 2 157.508 * * [simplify]: Extracting #6: cost 2 inf + 689 157.509 * * [simplify]: Extracting #7: cost 0 inf + 1052 157.509 * [simplify]: Simplified to (/ 1 (sqrt (cbrt (sqrt 2)))) 157.509 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.509 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) 157.509 * * [simplify]: iters left: 6 (14 enodes) 157.517 * * [simplify]: iters left: 5 (53 enodes) 157.540 * * [simplify]: iters left: 4 (113 enodes) 157.568 * * [simplify]: iters left: 3 (306 enodes) 157.714 * * [simplify]: Extracting #0: cost 1 inf + 0 157.714 * * [simplify]: Extracting #1: cost 76 inf + 0 157.714 * * [simplify]: Extracting #2: cost 182 inf + 43 157.715 * * [simplify]: Extracting #3: cost 179 inf + 859 157.717 * * [simplify]: Extracting #4: cost 144 inf + 9153 157.725 * * [simplify]: Extracting #5: cost 20 inf + 44946 157.736 * * [simplify]: Extracting #6: cost 0 inf + 51022 157.746 * [simplify]: Simplified to (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (sqrt (cbrt (sqrt 2)))) 157.747 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (cbrt (sqrt 2)))) (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (/ (cbrt (sqrt 2)) a1)) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.747 * * * * [progress]: [ 435 / 614 ] simplifiying candidate # 157.747 * [simplify]: Simplifying (/ 1 (/ 1 (* (cbrt a1) (cbrt a1)))) 157.747 * * [simplify]: iters left: 6 (6 enodes) 157.749 * * [simplify]: iters left: 5 (22 enodes) 157.753 * * [simplify]: iters left: 4 (29 enodes) 157.760 * * [simplify]: iters left: 3 (41 enodes) 157.767 * * [simplify]: iters left: 2 (55 enodes) 157.779 * * [simplify]: iters left: 1 (57 enodes) 157.790 * * [simplify]: Extracting #0: cost 1 inf + 0 157.790 * * [simplify]: Extracting #1: cost 6 inf + 0 157.791 * * [simplify]: Extracting #2: cost 9 inf + 1 157.791 * * [simplify]: Extracting #3: cost 3 inf + 529 157.791 * * [simplify]: Extracting #4: cost 1 inf + 812 157.792 * * [simplify]: Extracting #5: cost 0 inf + 974 157.792 * [simplify]: Simplified to (* (cbrt a1) (cbrt a1)) 157.792 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 157.793 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 157.793 * * [simplify]: iters left: 6 (14 enodes) 157.800 * * [simplify]: iters left: 5 (53 enodes) 157.820 * * [simplify]: iters left: 4 (113 enodes) 157.847 * * [simplify]: iters left: 3 (304 enodes) 157.959 * * [simplify]: Extracting #0: cost 1 inf + 0 157.959 * * [simplify]: Extracting #1: cost 78 inf + 0 157.960 * * [simplify]: Extracting #2: cost 161 inf + 204 157.960 * * [simplify]: Extracting #3: cost 153 inf + 999 157.962 * * [simplify]: Extracting #4: cost 132 inf + 4863 157.970 * * [simplify]: Extracting #5: cost 34 inf + 32421 157.983 * * [simplify]: Extracting #6: cost 0 inf + 43734 158.001 * [simplify]: Simplified to (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1)) 158.001 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt a1) (cbrt a1)) (* (cbrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.001 * * * * [progress]: [ 436 / 614 ] simplifiying candidate # 158.002 * [simplify]: Simplifying (/ 1 (/ 1 (sqrt a1))) 158.002 * * [simplify]: iters left: 5 (5 enodes) 158.005 * * [simplify]: iters left: 4 (17 enodes) 158.010 * * [simplify]: iters left: 3 (20 enodes) 158.017 * * [simplify]: iters left: 2 (24 enodes) 158.023 * * [simplify]: Extracting #0: cost 1 inf + 0 158.023 * * [simplify]: Extracting #1: cost 5 inf + 0 158.024 * * [simplify]: Extracting #2: cost 2 inf + 84 158.024 * * [simplify]: Extracting #3: cost 0 inf + 248 158.024 * [simplify]: Simplified to (sqrt a1) 158.024 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt a1) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.024 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 158.025 * * [simplify]: iters left: 6 (14 enodes) 158.032 * * [simplify]: iters left: 5 (53 enodes) 158.052 * * [simplify]: iters left: 4 (113 enodes) 158.082 * * [simplify]: iters left: 3 (304 enodes) 158.267 * * [simplify]: Extracting #0: cost 1 inf + 0 158.267 * * [simplify]: Extracting #1: cost 78 inf + 0 158.269 * * [simplify]: Extracting #2: cost 161 inf + 124 158.270 * * [simplify]: Extracting #3: cost 153 inf + 759 158.273 * * [simplify]: Extracting #4: cost 132 inf + 4223 158.284 * * [simplify]: Extracting #5: cost 34 inf + 29461 158.299 * * [simplify]: Extracting #6: cost 0 inf + 39894 158.308 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1)) 158.308 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt a1) (* (sqrt a1) (* (/ (cos th) (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.308 * * * * [progress]: [ 437 / 614 ] simplifiying candidate # 158.309 * [simplify]: Simplifying (/ 1 (/ 1 1)) 158.309 * * [simplify]: iters left: 4 (3 enodes) 158.310 * * [simplify]: iters left: 3 (7 enodes) 158.311 * * [simplify]: iters left: 2 (9 enodes) 158.313 * * [simplify]: Extracting #0: cost 1 inf + 0 158.313 * * [simplify]: Extracting #1: cost 0 inf + 1 158.313 * [simplify]: Simplified to 1 158.313 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.313 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 158.313 * * [simplify]: iters left: 6 (13 enodes) 158.317 * * [simplify]: iters left: 5 (50 enodes) 158.326 * * [simplify]: iters left: 4 (110 enodes) 158.357 * * [simplify]: iters left: 3 (271 enodes) 158.481 * * [simplify]: Extracting #0: cost 1 inf + 0 158.481 * * [simplify]: Extracting #1: cost 60 inf + 0 158.482 * * [simplify]: Extracting #2: cost 131 inf + 43 158.483 * * [simplify]: Extracting #3: cost 122 inf + 719 158.485 * * [simplify]: Extracting #4: cost 104 inf + 3270 158.493 * * [simplify]: Extracting #5: cost 17 inf + 24493 158.500 * * [simplify]: Extracting #6: cost 0 inf + 28962 158.506 * [simplify]: Simplified to (/ (* a1 (* a1 (cos th))) (sqrt 2)) 158.506 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* 1 (/ (* a1 (* a1 (cos th))) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.506 * * * * [progress]: [ 438 / 614 ] simplifiying candidate # 158.507 * [simplify]: Simplifying (/ 1 1) 158.507 * * [simplify]: iters left: 2 (2 enodes) 158.508 * * [simplify]: iters left: 1 (6 enodes) 158.509 * * [simplify]: Extracting #0: cost 1 inf + 0 158.509 * * [simplify]: Extracting #1: cost 0 inf + 1 158.509 * [simplify]: Simplified to 1 158.509 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.509 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 158.509 * * [simplify]: iters left: 6 (13 enodes) 158.513 * * [simplify]: iters left: 5 (50 enodes) 158.523 * * [simplify]: iters left: 4 (110 enodes) 158.559 * * [simplify]: iters left: 3 (271 enodes) 158.715 * * [simplify]: Extracting #0: cost 1 inf + 0 158.716 * * [simplify]: Extracting #1: cost 60 inf + 0 158.717 * * [simplify]: Extracting #2: cost 131 inf + 43 158.718 * * [simplify]: Extracting #3: cost 122 inf + 719 158.719 * * [simplify]: Extracting #4: cost 104 inf + 3270 158.723 * * [simplify]: Extracting #5: cost 17 inf + 24493 158.729 * * [simplify]: Extracting #6: cost 0 inf + 28962 158.738 * [simplify]: Simplified to (/ (* a1 (* a1 (cos th))) (sqrt 2)) 158.738 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* 1 (/ (* a1 (* a1 (cos th))) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.738 * * * * [progress]: [ 439 / 614 ] simplifiying candidate # 158.738 * [simplify]: Simplifying (/ 1 (cbrt (sqrt 2))) 158.738 * * [simplify]: iters left: 4 (5 enodes) 158.740 * * [simplify]: iters left: 3 (17 enodes) 158.744 * * [simplify]: iters left: 2 (19 enodes) 158.747 * * [simplify]: Extracting #0: cost 1 inf + 0 158.747 * * [simplify]: Extracting #1: cost 4 inf + 0 158.747 * * [simplify]: Extracting #2: cost 5 inf + 1 158.747 * * [simplify]: Extracting #3: cost 7 inf + 1 158.747 * * [simplify]: Extracting #4: cost 0 inf + 650 158.747 * [simplify]: Simplified to (/ 1 (cbrt (sqrt 2))) 158.747 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt 2))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 158.747 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1)) 158.747 * * [simplify]: iters left: 6 (13 enodes) 158.752 * * [simplify]: iters left: 5 (50 enodes) 158.772 * * [simplify]: iters left: 4 (106 enodes) 158.820 * * [simplify]: iters left: 3 (280 enodes) 158.995 * * [simplify]: Extracting #0: cost 1 inf + 0 158.996 * * [simplify]: Extracting #1: cost 79 inf + 0 158.996 * * [simplify]: Extracting #2: cost 190 inf + 125 158.997 * * [simplify]: Extracting #3: cost 186 inf + 986 158.999 * * [simplify]: Extracting #4: cost 109 inf + 14449 159.007 * * [simplify]: Extracting #5: cost 5 inf + 40644 159.020 * * [simplify]: Extracting #6: cost 0 inf + 41979 159.031 * [simplify]: Simplified to (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) 159.031 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ 1 (cbrt (sqrt 2))) (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.031 * * * * [progress]: [ 440 / 614 ] simplifiying candidate # 159.031 * [simplify]: Simplifying (/ (* (cos th) a1) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 159.031 * * [simplify]: iters left: 6 (11 enodes) 159.034 * * [simplify]: iters left: 5 (41 enodes) 159.041 * * [simplify]: iters left: 4 (63 enodes) 159.051 * * [simplify]: iters left: 3 (79 enodes) 159.063 * * [simplify]: iters left: 2 (87 enodes) 159.090 * * [simplify]: iters left: 1 (91 enodes) 159.112 * * [simplify]: Extracting #0: cost 1 inf + 0 159.112 * * [simplify]: Extracting #1: cost 16 inf + 0 159.112 * * [simplify]: Extracting #2: cost 30 inf + 1 159.112 * * [simplify]: Extracting #3: cost 30 inf + 63 159.113 * * [simplify]: Extracting #4: cost 29 inf + 328 159.113 * * [simplify]: Extracting #5: cost 31 inf + 328 159.113 * * [simplify]: Extracting #6: cost 29 inf + 370 159.114 * * [simplify]: Extracting #7: cost 17 inf + 2911 159.116 * * [simplify]: Extracting #8: cost 3 inf + 7869 159.118 * * [simplify]: Extracting #9: cost 0 inf + 8957 159.121 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (/ (cbrt (sqrt 2)) a1)) (/ a1 (cbrt (/ (cbrt (sqrt 2)) a1))))) 159.121 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (/ (cbrt (sqrt 2)) a1)) (/ a1 (cbrt (/ (cbrt (sqrt 2)) a1))))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.121 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (sqrt 2)) a1))) 159.122 * * [simplify]: iters left: 6 (11 enodes) 159.128 * * [simplify]: iters left: 5 (39 enodes) 159.142 * * [simplify]: iters left: 4 (61 enodes) 159.161 * * [simplify]: iters left: 3 (80 enodes) 159.186 * * [simplify]: iters left: 2 (111 enodes) 159.224 * * [simplify]: iters left: 1 (127 enodes) 159.251 * * [simplify]: Extracting #0: cost 1 inf + 0 159.251 * * [simplify]: Extracting #1: cost 12 inf + 0 159.251 * * [simplify]: Extracting #2: cost 22 inf + 1 159.251 * * [simplify]: Extracting #3: cost 26 inf + 1 159.251 * * [simplify]: Extracting #4: cost 24 inf + 3 159.251 * * [simplify]: Extracting #5: cost 16 inf + 1054 159.252 * * [simplify]: Extracting #6: cost 3 inf + 4444 159.253 * * [simplify]: Extracting #7: cost 0 inf + 5331 159.254 * [simplify]: Simplified to (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1))) 159.254 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.254 * * * * [progress]: [ 441 / 614 ] simplifiying candidate # 159.254 * [simplify]: Simplifying (/ (* (cos th) a1) (sqrt (/ (cbrt (sqrt 2)) a1))) 159.254 * * [simplify]: iters left: 6 (10 enodes) 159.257 * * [simplify]: iters left: 5 (33 enodes) 159.262 * * [simplify]: iters left: 4 (39 enodes) 159.268 * * [simplify]: iters left: 3 (44 enodes) 159.274 * * [simplify]: iters left: 2 (46 enodes) 159.281 * * [simplify]: iters left: 1 (49 enodes) 159.294 * * [simplify]: Extracting #0: cost 1 inf + 0 159.294 * * [simplify]: Extracting #1: cost 10 inf + 0 159.294 * * [simplify]: Extracting #2: cost 18 inf + 1 159.294 * * [simplify]: Extracting #3: cost 19 inf + 2 159.294 * * [simplify]: Extracting #4: cost 19 inf + 165 159.295 * * [simplify]: Extracting #5: cost 19 inf + 328 159.295 * * [simplify]: Extracting #6: cost 17 inf + 370 159.295 * * [simplify]: Extracting #7: cost 8 inf + 2168 159.296 * * [simplify]: Extracting #8: cost 0 inf + 4247 159.297 * [simplify]: Simplified to (* (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) a1))) a1) 159.297 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt (/ (cbrt (sqrt 2)) a1))) a1) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.298 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) 159.298 * * [simplify]: iters left: 6 (11 enodes) 159.301 * * [simplify]: iters left: 5 (39 enodes) 159.308 * * [simplify]: iters left: 4 (61 enodes) 159.319 * * [simplify]: iters left: 3 (80 enodes) 159.334 * * [simplify]: iters left: 2 (111 enodes) 159.370 * * [simplify]: iters left: 1 (127 enodes) 159.404 * * [simplify]: Extracting #0: cost 1 inf + 0 159.404 * * [simplify]: Extracting #1: cost 12 inf + 0 159.404 * * [simplify]: Extracting #2: cost 22 inf + 1 159.404 * * [simplify]: Extracting #3: cost 26 inf + 1 159.404 * * [simplify]: Extracting #4: cost 24 inf + 3 159.405 * * [simplify]: Extracting #5: cost 16 inf + 1014 159.406 * * [simplify]: Extracting #6: cost 3 inf + 4084 159.408 * * [simplify]: Extracting #7: cost 0 inf + 4851 159.410 * [simplify]: Simplified to (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 159.410 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.410 * * * * [progress]: [ 442 / 614 ] simplifiying candidate # 159.411 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 159.411 * * [simplify]: iters left: 6 (13 enodes) 159.417 * * [simplify]: iters left: 5 (46 enodes) 159.432 * * [simplify]: iters left: 4 (71 enodes) 159.457 * * [simplify]: iters left: 3 (128 enodes) 159.480 * * [simplify]: iters left: 2 (219 enodes) 159.553 * * [simplify]: iters left: 1 (283 enodes) 159.603 * * [simplify]: Extracting #0: cost 1 inf + 0 159.603 * * [simplify]: Extracting #1: cost 34 inf + 0 159.604 * * [simplify]: Extracting #2: cost 63 inf + 364 159.604 * * [simplify]: Extracting #3: cost 58 inf + 1031 159.604 * * [simplify]: Extracting #4: cost 52 inf + 2526 159.605 * * [simplify]: Extracting #5: cost 51 inf + 3072 159.606 * * [simplify]: Extracting #6: cost 40 inf + 5287 159.609 * * [simplify]: Extracting #7: cost 6 inf + 19289 159.613 * * [simplify]: Extracting #8: cost 0 inf + 21764 159.620 * [simplify]: Simplified to (* (* a1 (cbrt a1)) (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 159.621 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* a1 (cbrt a1)) (/ (* (cos th) (cbrt a1)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.621 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 159.621 * * [simplify]: iters left: 6 (12 enodes) 159.628 * * [simplify]: iters left: 5 (44 enodes) 159.645 * * [simplify]: iters left: 4 (74 enodes) 159.670 * * [simplify]: iters left: 3 (133 enodes) 159.718 * * [simplify]: iters left: 2 (234 enodes) 159.800 * * [simplify]: iters left: 1 (365 enodes) 159.946 * * [simplify]: Extracting #0: cost 1 inf + 0 159.946 * * [simplify]: Extracting #1: cost 23 inf + 0 159.947 * * [simplify]: Extracting #2: cost 44 inf + 1 159.947 * * [simplify]: Extracting #3: cost 44 inf + 83 159.948 * * [simplify]: Extracting #4: cost 42 inf + 165 159.949 * * [simplify]: Extracting #5: cost 26 inf + 3149 159.952 * * [simplify]: Extracting #6: cost 5 inf + 9467 159.957 * * [simplify]: Extracting #7: cost 0 inf + 11117 159.962 * [simplify]: Simplified to (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 159.962 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 159.963 * * * * [progress]: [ 443 / 614 ] simplifiying candidate # 159.963 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 159.963 * * [simplify]: iters left: 6 (12 enodes) 159.967 * * [simplify]: iters left: 5 (41 enodes) 159.974 * * [simplify]: iters left: 4 (58 enodes) 159.983 * * [simplify]: iters left: 3 (91 enodes) 159.996 * * [simplify]: iters left: 2 (123 enodes) 160.035 * * [simplify]: iters left: 1 (135 enodes) 160.072 * * [simplify]: Extracting #0: cost 1 inf + 0 160.072 * * [simplify]: Extracting #1: cost 23 inf + 0 160.073 * * [simplify]: Extracting #2: cost 43 inf + 1 160.073 * * [simplify]: Extracting #3: cost 41 inf + 145 160.073 * * [simplify]: Extracting #4: cost 35 inf + 1139 160.074 * * [simplify]: Extracting #5: cost 36 inf + 1220 160.075 * * [simplify]: Extracting #6: cost 29 inf + 2168 160.077 * * [simplify]: Extracting #7: cost 5 inf + 10382 160.081 * * [simplify]: Extracting #8: cost 0 inf + 12154 160.085 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th)))) 160.085 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 160.086 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 160.086 * * [simplify]: iters left: 6 (12 enodes) 160.092 * * [simplify]: iters left: 5 (44 enodes) 160.109 * * [simplify]: iters left: 4 (74 enodes) 160.134 * * [simplify]: iters left: 3 (133 enodes) 160.196 * * [simplify]: iters left: 2 (234 enodes) 160.655 * * [simplify]: iters left: 1 (365 enodes) 160.850 * * [simplify]: Extracting #0: cost 1 inf + 0 160.850 * * [simplify]: Extracting #1: cost 23 inf + 0 160.851 * * [simplify]: Extracting #2: cost 44 inf + 1 160.851 * * [simplify]: Extracting #3: cost 44 inf + 43 160.851 * * [simplify]: Extracting #4: cost 42 inf + 85 160.852 * * [simplify]: Extracting #5: cost 26 inf + 2869 160.856 * * [simplify]: Extracting #6: cost 5 inf + 8747 160.861 * * [simplify]: Extracting #7: cost 0 inf + 10237 160.866 * [simplify]: Simplified to (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 160.866 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 160.867 * * * * [progress]: [ 444 / 614 ] simplifiying candidate # 160.867 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 160.867 * * [simplify]: iters left: 6 (12 enodes) 160.873 * * [simplify]: iters left: 5 (41 enodes) 160.886 * * [simplify]: iters left: 4 (51 enodes) 160.903 * * [simplify]: iters left: 3 (68 enodes) 160.922 * * [simplify]: iters left: 2 (79 enodes) 160.946 * * [simplify]: iters left: 1 (92 enodes) 160.959 * * [simplify]: Extracting #0: cost 1 inf + 0 160.959 * * [simplify]: Extracting #1: cost 12 inf + 0 160.959 * * [simplify]: Extracting #2: cost 20 inf + 2 160.959 * * [simplify]: Extracting #3: cost 21 inf + 3 160.959 * * [simplify]: Extracting #4: cost 22 inf + 64 160.959 * * [simplify]: Extracting #5: cost 21 inf + 329 160.959 * * [simplify]: Extracting #6: cost 19 inf + 371 160.960 * * [simplify]: Extracting #7: cost 14 inf + 976 160.960 * * [simplify]: Extracting #8: cost 4 inf + 3995 160.961 * * [simplify]: Extracting #9: cost 0 inf + 5486 160.962 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) 160.962 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 160.962 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 160.962 * * [simplify]: iters left: 6 (11 enodes) 160.965 * * [simplify]: iters left: 5 (41 enodes) 160.973 * * [simplify]: iters left: 4 (71 enodes) 160.988 * * [simplify]: iters left: 3 (130 enodes) 161.048 * * [simplify]: iters left: 2 (228 enodes) 161.125 * * [simplify]: iters left: 1 (361 enodes) 161.259 * * [simplify]: Extracting #0: cost 1 inf + 0 161.259 * * [simplify]: Extracting #1: cost 24 inf + 0 161.259 * * [simplify]: Extracting #2: cost 42 inf + 2 161.259 * * [simplify]: Extracting #3: cost 44 inf + 2 161.259 * * [simplify]: Extracting #4: cost 43 inf + 3 161.260 * * [simplify]: Extracting #5: cost 22 inf + 4515 161.262 * * [simplify]: Extracting #6: cost 1 inf + 9276 161.265 * * [simplify]: Extracting #7: cost 0 inf + 9558 161.267 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))) 161.267 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 161.267 * * * * [progress]: [ 445 / 614 ] simplifiying candidate # 161.267 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 161.268 * * [simplify]: iters left: 6 (13 enodes) 161.271 * * [simplify]: iters left: 5 (47 enodes) 161.278 * * [simplify]: iters left: 4 (72 enodes) 161.292 * * [simplify]: iters left: 3 (129 enodes) 161.337 * * [simplify]: iters left: 2 (220 enodes) 161.393 * * [simplify]: iters left: 1 (285 enodes) 161.461 * * [simplify]: Extracting #0: cost 1 inf + 0 161.461 * * [simplify]: Extracting #1: cost 34 inf + 0 161.462 * * [simplify]: Extracting #2: cost 65 inf + 82 161.462 * * [simplify]: Extracting #3: cost 60 inf + 910 161.464 * * [simplify]: Extracting #4: cost 51 inf + 3072 161.465 * * [simplify]: Extracting #5: cost 39 inf + 5771 161.470 * * [simplify]: Extracting #6: cost 8 inf + 16903 161.476 * * [simplify]: Extracting #7: cost 0 inf + 20004 161.483 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (* a1 (* (cbrt a1) (cbrt a1))))) 161.483 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (* a1 (* (cbrt a1) (cbrt a1))))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 161.483 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 161.483 * * [simplify]: iters left: 6 (14 enodes) 161.491 * * [simplify]: iters left: 5 (50 enodes) 161.509 * * [simplify]: iters left: 4 (80 enodes) 161.537 * * [simplify]: iters left: 3 (139 enodes) 161.570 * * [simplify]: iters left: 2 (237 enodes) 161.662 * * [simplify]: iters left: 1 (355 enodes) 161.787 * * [simplify]: Extracting #0: cost 1 inf + 0 161.787 * * [simplify]: Extracting #1: cost 23 inf + 0 161.787 * * [simplify]: Extracting #2: cost 45 inf + 1 161.787 * * [simplify]: Extracting #3: cost 48 inf + 2 161.788 * * [simplify]: Extracting #4: cost 46 inf + 165 161.788 * * [simplify]: Extracting #5: cost 29 inf + 3271 161.790 * * [simplify]: Extracting #6: cost 8 inf + 9947 161.793 * * [simplify]: Extracting #7: cost 0 inf + 13441 161.798 * [simplify]: Simplified to (/ (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) 161.799 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (fabs (cbrt 2))) (* a1 (* (cbrt a1) (cbrt a1))))) (/ (/ (cbrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 161.799 * * * * [progress]: [ 446 / 614 ] simplifiying candidate # 161.799 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 161.799 * * [simplify]: iters left: 6 (12 enodes) 161.806 * * [simplify]: iters left: 5 (42 enodes) 161.818 * * [simplify]: iters left: 4 (59 enodes) 161.836 * * [simplify]: iters left: 3 (92 enodes) 161.860 * * [simplify]: iters left: 2 (124 enodes) 161.878 * * [simplify]: iters left: 1 (136 enodes) 161.896 * * [simplify]: Extracting #0: cost 1 inf + 0 161.896 * * [simplify]: Extracting #1: cost 23 inf + 0 161.896 * * [simplify]: Extracting #2: cost 42 inf + 42 161.897 * * [simplify]: Extracting #3: cost 39 inf + 550 161.897 * * [simplify]: Extracting #4: cost 36 inf + 1220 161.897 * * [simplify]: Extracting #5: cost 28 inf + 2491 161.898 * * [simplify]: Extracting #6: cost 4 inf + 9744 161.900 * * [simplify]: Extracting #7: cost 0 inf + 10994 161.902 * [simplify]: Simplified to (/ (* a1 (cos th)) (/ (cbrt (fabs (cbrt 2))) (sqrt a1))) 161.902 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (/ (cbrt (fabs (cbrt 2))) (sqrt a1))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 161.902 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 161.902 * * [simplify]: iters left: 6 (14 enodes) 161.906 * * [simplify]: iters left: 5 (50 enodes) 161.915 * * [simplify]: iters left: 4 (80 enodes) 161.931 * * [simplify]: iters left: 3 (139 enodes) 161.992 * * [simplify]: iters left: 2 (237 enodes) 162.093 * * [simplify]: iters left: 1 (355 enodes) 162.236 * * [simplify]: Extracting #0: cost 1 inf + 0 162.236 * * [simplify]: Extracting #1: cost 23 inf + 0 162.236 * * [simplify]: Extracting #2: cost 45 inf + 1 162.237 * * [simplify]: Extracting #3: cost 48 inf + 2 162.237 * * [simplify]: Extracting #4: cost 46 inf + 85 162.237 * * [simplify]: Extracting #5: cost 29 inf + 2911 162.239 * * [simplify]: Extracting #6: cost 8 inf + 9267 162.243 * * [simplify]: Extracting #7: cost 0 inf + 12561 162.249 * [simplify]: Simplified to (/ (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2)))) 162.249 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (/ (cbrt (fabs (cbrt 2))) (sqrt a1))) (/ (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 162.250 * * * * [progress]: [ 447 / 614 ] simplifiying candidate # 162.250 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 162.250 * * [simplify]: iters left: 6 (12 enodes) 162.256 * * [simplify]: iters left: 5 (42 enodes) 162.270 * * [simplify]: iters left: 4 (52 enodes) 162.286 * * [simplify]: iters left: 3 (69 enodes) 162.309 * * [simplify]: iters left: 2 (80 enodes) 162.332 * * [simplify]: iters left: 1 (93 enodes) 162.357 * * [simplify]: Extracting #0: cost 1 inf + 0 162.357 * * [simplify]: Extracting #1: cost 12 inf + 0 162.357 * * [simplify]: Extracting #2: cost 20 inf + 2 162.357 * * [simplify]: Extracting #3: cost 22 inf + 3 162.358 * * [simplify]: Extracting #4: cost 24 inf + 64 162.358 * * [simplify]: Extracting #5: cost 20 inf + 309 162.358 * * [simplify]: Extracting #6: cost 15 inf + 855 162.359 * * [simplify]: Extracting #7: cost 7 inf + 2850 162.360 * * [simplify]: Extracting #8: cost 1 inf + 4583 162.362 * * [simplify]: Extracting #9: cost 0 inf + 4926 162.363 * [simplify]: Simplified to (* (/ a1 (cbrt (fabs (cbrt 2)))) (cos th)) 162.363 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ a1 (cbrt (fabs (cbrt 2)))) (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 162.364 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) 162.364 * * [simplify]: iters left: 6 (13 enodes) 162.371 * * [simplify]: iters left: 5 (47 enodes) 162.388 * * [simplify]: iters left: 4 (77 enodes) 162.415 * * [simplify]: iters left: 3 (136 enodes) 162.480 * * [simplify]: iters left: 2 (237 enodes) 162.593 * * [simplify]: iters left: 1 (372 enodes) 162.773 * * [simplify]: Extracting #0: cost 1 inf + 0 162.773 * * [simplify]: Extracting #1: cost 24 inf + 0 162.774 * * [simplify]: Extracting #2: cost 43 inf + 2 162.774 * * [simplify]: Extracting #3: cost 47 inf + 2 162.774 * * [simplify]: Extracting #4: cost 47 inf + 3 162.775 * * [simplify]: Extracting #5: cost 27 inf + 3033 162.779 * * [simplify]: Extracting #6: cost 4 inf + 10276 162.785 * * [simplify]: Extracting #7: cost 0 inf + 11882 162.791 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2))))) 162.791 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ a1 (cbrt (fabs (cbrt 2)))) (cos th)) (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 162.792 * * * * [progress]: [ 448 / 614 ] simplifiying candidate # 162.792 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 162.792 * * [simplify]: iters left: 6 (12 enodes) 162.798 * * [simplify]: iters left: 5 (43 enodes) 162.812 * * [simplify]: iters left: 4 (68 enodes) 162.835 * * [simplify]: iters left: 3 (125 enodes) 162.862 * * [simplify]: iters left: 2 (216 enodes) 162.920 * * [simplify]: iters left: 1 (280 enodes) 162.987 * * [simplify]: Extracting #0: cost 1 inf + 0 162.987 * * [simplify]: Extracting #1: cost 34 inf + 0 162.987 * * [simplify]: Extracting #2: cost 63 inf + 324 162.988 * * [simplify]: Extracting #3: cost 59 inf + 870 162.988 * * [simplify]: Extracting #4: cost 51 inf + 2668 162.989 * * [simplify]: Extracting #5: cost 36 inf + 5996 162.992 * * [simplify]: Extracting #6: cost 3 inf + 16634 162.995 * * [simplify]: Extracting #7: cost 0 inf + 17842 162.999 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cos th)))) 162.999 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 163.000 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 163.000 * * [simplify]: iters left: 6 (13 enodes) 163.005 * * [simplify]: iters left: 5 (47 enodes) 163.022 * * [simplify]: iters left: 4 (77 enodes) 163.048 * * [simplify]: iters left: 3 (136 enodes) 163.103 * * [simplify]: iters left: 2 (238 enodes) 163.204 * * [simplify]: iters left: 1 (358 enodes) 163.382 * * [simplify]: Extracting #0: cost 1 inf + 0 163.382 * * [simplify]: Extracting #1: cost 23 inf + 0 163.382 * * [simplify]: Extracting #2: cost 45 inf + 1 163.383 * * [simplify]: Extracting #3: cost 47 inf + 2 163.383 * * [simplify]: Extracting #4: cost 44 inf + 165 163.384 * * [simplify]: Extracting #5: cost 27 inf + 3231 163.388 * * [simplify]: Extracting #6: cost 2 inf + 10836 163.394 * * [simplify]: Extracting #7: cost 0 inf + 11599 163.399 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 163.400 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 163.400 * * * * [progress]: [ 449 / 614 ] simplifiying candidate # 163.400 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 163.400 * * [simplify]: iters left: 6 (11 enodes) 163.406 * * [simplify]: iters left: 5 (38 enodes) 163.420 * * [simplify]: iters left: 4 (55 enodes) 163.437 * * [simplify]: iters left: 3 (88 enodes) 163.464 * * [simplify]: iters left: 2 (120 enodes) 163.488 * * [simplify]: iters left: 1 (129 enodes) 163.506 * * [simplify]: Extracting #0: cost 1 inf + 0 163.506 * * [simplify]: Extracting #1: cost 23 inf + 0 163.506 * * [simplify]: Extracting #2: cost 41 inf + 123 163.507 * * [simplify]: Extracting #3: cost 39 inf + 307 163.507 * * [simplify]: Extracting #4: cost 37 inf + 794 163.507 * * [simplify]: Extracting #5: cost 24 inf + 2654 163.508 * * [simplify]: Extracting #6: cost 1 inf + 9150 163.510 * * [simplify]: Extracting #7: cost 0 inf + 9432 163.511 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) (* a1 (cos th)))) 163.512 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) (* a1 (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 163.512 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 163.512 * * [simplify]: iters left: 6 (13 enodes) 163.519 * * [simplify]: iters left: 5 (47 enodes) 163.536 * * [simplify]: iters left: 4 (77 enodes) 163.561 * * [simplify]: iters left: 3 (136 enodes) 163.597 * * [simplify]: iters left: 2 (238 enodes) 163.709 * * [simplify]: iters left: 1 (358 enodes) 163.853 * * [simplify]: Extracting #0: cost 1 inf + 0 163.853 * * [simplify]: Extracting #1: cost 23 inf + 0 163.853 * * [simplify]: Extracting #2: cost 45 inf + 1 163.853 * * [simplify]: Extracting #3: cost 47 inf + 2 163.854 * * [simplify]: Extracting #4: cost 44 inf + 85 163.855 * * [simplify]: Extracting #5: cost 27 inf + 2911 163.859 * * [simplify]: Extracting #6: cost 2 inf + 9996 163.865 * * [simplify]: Extracting #7: cost 0 inf + 10719 163.870 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 163.870 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 163.870 * * * * [progress]: [ 450 / 614 ] simplifiying candidate # 163.871 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) 1)) 163.871 * * [simplify]: iters left: 6 (11 enodes) 163.876 * * [simplify]: iters left: 5 (38 enodes) 163.891 * * [simplify]: iters left: 4 (48 enodes) 163.907 * * [simplify]: iters left: 3 (65 enodes) 163.925 * * [simplify]: iters left: 2 (76 enodes) 163.946 * * [simplify]: iters left: 1 (89 enodes) 163.963 * * [simplify]: Extracting #0: cost 1 inf + 0 163.964 * * [simplify]: Extracting #1: cost 12 inf + 0 163.964 * * [simplify]: Extracting #2: cost 20 inf + 2 163.964 * * [simplify]: Extracting #3: cost 21 inf + 3 163.964 * * [simplify]: Extracting #4: cost 22 inf + 64 163.964 * * [simplify]: Extracting #5: cost 17 inf + 371 163.964 * * [simplify]: Extracting #6: cost 12 inf + 937 163.965 * * [simplify]: Extracting #7: cost 1 inf + 3762 163.965 * * [simplify]: Extracting #8: cost 0 inf + 3964 163.966 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) 163.966 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 163.966 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 163.966 * * [simplify]: iters left: 6 (12 enodes) 163.970 * * [simplify]: iters left: 5 (44 enodes) 163.978 * * [simplify]: iters left: 4 (74 enodes) 163.990 * * [simplify]: iters left: 3 (133 enodes) 164.030 * * [simplify]: iters left: 2 (233 enodes) 164.144 * * [simplify]: iters left: 1 (370 enodes) 164.317 * * [simplify]: Extracting #0: cost 1 inf + 0 164.317 * * [simplify]: Extracting #1: cost 24 inf + 0 164.317 * * [simplify]: Extracting #2: cost 43 inf + 2 164.317 * * [simplify]: Extracting #3: cost 46 inf + 2 164.318 * * [simplify]: Extracting #4: cost 45 inf + 3 164.319 * * [simplify]: Extracting #5: cost 28 inf + 2388 164.322 * * [simplify]: Extracting #6: cost 7 inf + 8028 164.328 * * [simplify]: Extracting #7: cost 0 inf + 10081 164.333 * * [simplify]: Extracting #8: cost 0 inf + 10040 164.339 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 164.339 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 164.339 * * * * [progress]: [ 451 / 614 ] simplifiying candidate # 164.339 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 164.340 * * [simplify]: iters left: 6 (11 enodes) 164.346 * * [simplify]: iters left: 5 (42 enodes) 164.360 * * [simplify]: iters left: 4 (69 enodes) 164.385 * * [simplify]: iters left: 3 (129 enodes) 164.430 * * [simplify]: iters left: 2 (231 enodes) 164.508 * * [simplify]: iters left: 1 (331 enodes) 164.628 * * [simplify]: Extracting #0: cost 1 inf + 0 164.628 * * [simplify]: Extracting #1: cost 24 inf + 0 164.629 * * [simplify]: Extracting #2: cost 38 inf + 651 164.629 * * [simplify]: Extracting #3: cost 23 inf + 2614 164.631 * * [simplify]: Extracting #4: cost 2 inf + 6623 164.633 * * [simplify]: Extracting #5: cost 0 inf + 7148 164.635 * [simplify]: Simplified to (* (* (cbrt a1) a1) (* (cos th) (cbrt a1))) 164.635 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) a1) (* (cos th) (cbrt a1))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 164.635 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 164.635 * * [simplify]: iters left: 6 (11 enodes) 164.638 * * [simplify]: iters left: 5 (41 enodes) 164.648 * * [simplify]: iters left: 4 (71 enodes) 164.660 * * [simplify]: iters left: 3 (122 enodes) 164.712 * * [simplify]: iters left: 2 (171 enodes) 164.779 * * [simplify]: iters left: 1 (199 enodes) 164.814 * * [simplify]: Extracting #0: cost 1 inf + 0 164.814 * * [simplify]: Extracting #1: cost 24 inf + 0 164.814 * * [simplify]: Extracting #2: cost 51 inf + 1 164.814 * * [simplify]: Extracting #3: cost 53 inf + 86 164.814 * * [simplify]: Extracting #4: cost 50 inf + 291 164.815 * * [simplify]: Extracting #5: cost 22 inf + 7310 164.817 * * [simplify]: Extracting #6: cost 2 inf + 14865 164.819 * * [simplify]: Extracting #7: cost 0 inf + 15520 164.821 * [simplify]: Simplified to (/ (cbrt a1) (sqrt 2)) 164.821 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) a1) (* (cos th) (cbrt a1))) (/ (cbrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 164.821 * * * * [progress]: [ 452 / 614 ] simplifiying candidate # 164.821 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt 1)) (sqrt a1))) 164.821 * * [simplify]: iters left: 6 (10 enodes) 164.825 * * [simplify]: iters left: 5 (37 enodes) 164.831 * * [simplify]: iters left: 4 (56 enodes) 164.841 * * [simplify]: iters left: 3 (89 enodes) 164.855 * * [simplify]: iters left: 2 (134 enodes) 164.891 * * [simplify]: iters left: 1 (186 enodes) 164.950 * * [simplify]: Extracting #0: cost 1 inf + 0 164.950 * * [simplify]: Extracting #1: cost 15 inf + 0 164.950 * * [simplify]: Extracting #2: cost 23 inf + 166 164.950 * * [simplify]: Extracting #3: cost 11 inf + 1327 164.951 * * [simplify]: Extracting #4: cost 1 inf + 2508 164.952 * * [simplify]: Extracting #5: cost 0 inf + 2651 164.953 * [simplify]: Simplified to (* (* (sqrt a1) a1) (cos th)) 164.953 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) a1) (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 164.953 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 164.953 * * [simplify]: iters left: 6 (11 enodes) 164.957 * * [simplify]: iters left: 5 (41 enodes) 164.964 * * [simplify]: iters left: 4 (71 enodes) 164.981 * * [simplify]: iters left: 3 (122 enodes) 165.009 * * [simplify]: iters left: 2 (171 enodes) 165.053 * * [simplify]: iters left: 1 (199 enodes) 165.111 * * [simplify]: Extracting #0: cost 1 inf + 0 165.111 * * [simplify]: Extracting #1: cost 24 inf + 0 165.112 * * [simplify]: Extracting #2: cost 51 inf + 1 165.112 * * [simplify]: Extracting #3: cost 53 inf + 46 165.113 * * [simplify]: Extracting #4: cost 50 inf + 211 165.114 * * [simplify]: Extracting #5: cost 22 inf + 6830 165.120 * * [simplify]: Extracting #6: cost 2 inf + 13865 165.125 * * [simplify]: Extracting #7: cost 0 inf + 14480 165.129 * [simplify]: Simplified to (/ (sqrt a1) (sqrt 2)) 165.129 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) a1) (cos th)) (/ (sqrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.129 * * * * [progress]: [ 453 / 614 ] simplifiying candidate # 165.130 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt 1)) 1)) 165.130 * * [simplify]: iters left: 6 (9 enodes) 165.135 * * [simplify]: iters left: 5 (32 enodes) 165.147 * * [simplify]: iters left: 4 (42 enodes) 165.153 * * [simplify]: iters left: 3 (52 enodes) 165.161 * * [simplify]: iters left: 2 (81 enodes) 165.174 * * [simplify]: iters left: 1 (98 enodes) 165.191 * * [simplify]: Extracting #0: cost 1 inf + 0 165.191 * * [simplify]: Extracting #1: cost 8 inf + 0 165.191 * * [simplify]: Extracting #2: cost 10 inf + 44 165.191 * * [simplify]: Extracting #3: cost 8 inf + 87 165.191 * * [simplify]: Extracting #4: cost 5 inf + 311 165.191 * * [simplify]: Extracting #5: cost 0 inf + 903 165.192 * [simplify]: Simplified to (* a1 (cos th)) 165.192 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.192 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 165.192 * * [simplify]: iters left: 6 (10 enodes) 165.195 * * [simplify]: iters left: 5 (38 enodes) 165.202 * * [simplify]: iters left: 4 (68 enodes) 165.216 * * [simplify]: iters left: 3 (119 enodes) 165.255 * * [simplify]: iters left: 2 (167 enodes) 165.300 * * [simplify]: iters left: 1 (188 enodes) 165.345 * * [simplify]: Extracting #0: cost 1 inf + 0 165.345 * * [simplify]: Extracting #1: cost 21 inf + 0 165.346 * * [simplify]: Extracting #2: cost 42 inf + 2 165.346 * * [simplify]: Extracting #3: cost 44 inf + 5 165.346 * * [simplify]: Extracting #4: cost 42 inf + 129 165.347 * * [simplify]: Extracting #5: cost 18 inf + 5190 165.348 * * [simplify]: Extracting #6: cost 1 inf + 10252 165.350 * * [simplify]: Extracting #7: cost 0 inf + 10454 165.351 * [simplify]: Simplified to (/ a1 (sqrt 2)) 165.351 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ a1 (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.352 * * * * [progress]: [ 454 / 614 ] simplifiying candidate # 165.352 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 165.352 * * [simplify]: iters left: 6 (12 enodes) 165.355 * * [simplify]: iters left: 5 (43 enodes) 165.362 * * [simplify]: iters left: 4 (68 enodes) 165.381 * * [simplify]: iters left: 3 (125 enodes) 165.414 * * [simplify]: iters left: 2 (216 enodes) 165.469 * * [simplify]: iters left: 1 (280 enodes) 165.536 * * [simplify]: Extracting #0: cost 1 inf + 0 165.536 * * [simplify]: Extracting #1: cost 34 inf + 0 165.537 * * [simplify]: Extracting #2: cost 63 inf + 324 165.537 * * [simplify]: Extracting #3: cost 59 inf + 870 165.538 * * [simplify]: Extracting #4: cost 51 inf + 2668 165.540 * * [simplify]: Extracting #5: cost 36 inf + 5996 165.543 * * [simplify]: Extracting #6: cost 3 inf + 16634 165.546 * * [simplify]: Extracting #7: cost 0 inf + 17842 165.549 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cos th)))) 165.549 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cbrt a1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.550 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 165.550 * * [simplify]: iters left: 6 (13 enodes) 165.553 * * [simplify]: iters left: 5 (47 enodes) 165.563 * * [simplify]: iters left: 4 (77 enodes) 165.583 * * [simplify]: iters left: 3 (136 enodes) 165.633 * * [simplify]: iters left: 2 (238 enodes) 165.724 * * [simplify]: iters left: 1 (358 enodes) 165.860 * * [simplify]: Extracting #0: cost 1 inf + 0 165.860 * * [simplify]: Extracting #1: cost 23 inf + 0 165.861 * * [simplify]: Extracting #2: cost 45 inf + 1 165.861 * * [simplify]: Extracting #3: cost 47 inf + 2 165.862 * * [simplify]: Extracting #4: cost 44 inf + 165 165.863 * * [simplify]: Extracting #5: cost 27 inf + 3231 165.867 * * [simplify]: Extracting #6: cost 2 inf + 10836 165.872 * * [simplify]: Extracting #7: cost 0 inf + 11599 165.877 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 165.878 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.878 * * * * [progress]: [ 455 / 614 ] simplifiying candidate # 165.878 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 165.878 * * [simplify]: iters left: 6 (11 enodes) 165.884 * * [simplify]: iters left: 5 (38 enodes) 165.896 * * [simplify]: iters left: 4 (55 enodes) 165.916 * * [simplify]: iters left: 3 (88 enodes) 165.942 * * [simplify]: iters left: 2 (120 enodes) 165.960 * * [simplify]: iters left: 1 (129 enodes) 165.977 * * [simplify]: Extracting #0: cost 1 inf + 0 165.977 * * [simplify]: Extracting #1: cost 23 inf + 0 165.977 * * [simplify]: Extracting #2: cost 41 inf + 123 165.977 * * [simplify]: Extracting #3: cost 39 inf + 307 165.978 * * [simplify]: Extracting #4: cost 37 inf + 794 165.978 * * [simplify]: Extracting #5: cost 24 inf + 2654 165.979 * * [simplify]: Extracting #6: cost 1 inf + 9150 165.981 * * [simplify]: Extracting #7: cost 0 inf + 9432 165.983 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) (* a1 (cos th)))) 165.983 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (sqrt (sqrt 2))) (* a1 (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 165.983 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 165.983 * * [simplify]: iters left: 6 (13 enodes) 165.987 * * [simplify]: iters left: 5 (47 enodes) 165.995 * * [simplify]: iters left: 4 (77 enodes) 166.010 * * [simplify]: iters left: 3 (136 enodes) 166.041 * * [simplify]: iters left: 2 (238 enodes) 166.177 * * [simplify]: iters left: 1 (358 enodes) 166.354 * * [simplify]: Extracting #0: cost 1 inf + 0 166.354 * * [simplify]: Extracting #1: cost 23 inf + 0 166.355 * * [simplify]: Extracting #2: cost 45 inf + 1 166.355 * * [simplify]: Extracting #3: cost 47 inf + 2 166.356 * * [simplify]: Extracting #4: cost 44 inf + 85 166.357 * * [simplify]: Extracting #5: cost 27 inf + 2911 166.361 * * [simplify]: Extracting #6: cost 2 inf + 9996 166.366 * * [simplify]: Extracting #7: cost 0 inf + 10719 166.372 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 166.372 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 166.372 * * * * [progress]: [ 456 / 614 ] simplifiying candidate # 166.372 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (sqrt (sqrt 2))) 1)) 166.372 * * [simplify]: iters left: 6 (11 enodes) 166.378 * * [simplify]: iters left: 5 (38 enodes) 166.390 * * [simplify]: iters left: 4 (48 enodes) 166.405 * * [simplify]: iters left: 3 (65 enodes) 166.427 * * [simplify]: iters left: 2 (76 enodes) 166.448 * * [simplify]: iters left: 1 (89 enodes) 166.471 * * [simplify]: Extracting #0: cost 1 inf + 0 166.471 * * [simplify]: Extracting #1: cost 12 inf + 0 166.471 * * [simplify]: Extracting #2: cost 20 inf + 2 166.471 * * [simplify]: Extracting #3: cost 21 inf + 3 166.471 * * [simplify]: Extracting #4: cost 22 inf + 64 166.471 * * [simplify]: Extracting #5: cost 17 inf + 371 166.471 * * [simplify]: Extracting #6: cost 12 inf + 937 166.472 * * [simplify]: Extracting #7: cost 1 inf + 3762 166.473 * * [simplify]: Extracting #8: cost 0 inf + 3964 166.473 * [simplify]: Simplified to (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) 166.473 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 166.474 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) 166.474 * * [simplify]: iters left: 6 (12 enodes) 166.477 * * [simplify]: iters left: 5 (44 enodes) 166.485 * * [simplify]: iters left: 4 (74 enodes) 166.499 * * [simplify]: iters left: 3 (133 enodes) 166.561 * * [simplify]: iters left: 2 (233 enodes) 166.686 * * [simplify]: iters left: 1 (370 enodes) 166.831 * * [simplify]: Extracting #0: cost 1 inf + 0 166.831 * * [simplify]: Extracting #1: cost 24 inf + 0 166.831 * * [simplify]: Extracting #2: cost 43 inf + 2 166.831 * * [simplify]: Extracting #3: cost 46 inf + 2 166.832 * * [simplify]: Extracting #4: cost 45 inf + 3 166.832 * * [simplify]: Extracting #5: cost 28 inf + 2388 166.834 * * [simplify]: Extracting #6: cost 7 inf + 8028 166.836 * * [simplify]: Extracting #7: cost 0 inf + 10081 166.839 * * [simplify]: Extracting #8: cost 0 inf + 10040 166.842 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2)))) 166.842 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ a1 (/ (cbrt (sqrt (sqrt 2))) (cos th))) (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 166.842 * * * * [progress]: [ 457 / 614 ] simplifiying candidate # 166.843 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 166.843 * * [simplify]: iters left: 6 (10 enodes) 166.849 * * [simplify]: iters left: 5 (39 enodes) 166.861 * * [simplify]: iters left: 4 (67 enodes) 166.885 * * [simplify]: iters left: 3 (150 enodes) 166.927 * * [simplify]: iters left: 2 (267 enodes) 167.066 * * [simplify]: iters left: 1 (464 enodes) 167.249 * * [simplify]: Extracting #0: cost 1 inf + 0 167.249 * * [simplify]: Extracting #1: cost 23 inf + 0 167.249 * * [simplify]: Extracting #2: cost 34 inf + 812 167.251 * * [simplify]: Extracting #3: cost 17 inf + 3360 167.254 * * [simplify]: Extracting #4: cost 4 inf + 5871 167.257 * * [simplify]: Extracting #5: cost 0 inf + 6441 167.259 * [simplify]: Simplified to (* (cos th) (* (* (cbrt a1) a1) (cbrt a1))) 167.259 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (* (cbrt a1) a1) (cbrt a1))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.259 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 167.259 * * [simplify]: iters left: 6 (11 enodes) 167.263 * * [simplify]: iters left: 5 (41 enodes) 167.274 * * [simplify]: iters left: 4 (71 enodes) 167.290 * * [simplify]: iters left: 3 (122 enodes) 167.320 * * [simplify]: iters left: 2 (171 enodes) 167.363 * * [simplify]: iters left: 1 (199 enodes) 167.406 * * [simplify]: Extracting #0: cost 1 inf + 0 167.406 * * [simplify]: Extracting #1: cost 24 inf + 0 167.407 * * [simplify]: Extracting #2: cost 51 inf + 1 167.407 * * [simplify]: Extracting #3: cost 53 inf + 86 167.407 * * [simplify]: Extracting #4: cost 50 inf + 291 167.408 * * [simplify]: Extracting #5: cost 22 inf + 7310 167.410 * * [simplify]: Extracting #6: cost 2 inf + 14865 167.412 * * [simplify]: Extracting #7: cost 0 inf + 15520 167.414 * [simplify]: Simplified to (/ (cbrt a1) (sqrt 2)) 167.414 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (* (cbrt a1) a1) (cbrt a1))) (/ (cbrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.415 * * * * [progress]: [ 458 / 614 ] simplifiying candidate # 167.415 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt 1) (sqrt a1))) 167.415 * * [simplify]: iters left: 5 (9 enodes) 167.420 * * [simplify]: iters left: 4 (34 enodes) 167.431 * * [simplify]: iters left: 3 (51 enodes) 167.443 * * [simplify]: iters left: 2 (94 enodes) 167.460 * * [simplify]: iters left: 1 (126 enodes) 167.485 * * [simplify]: Extracting #0: cost 1 inf + 0 167.485 * * [simplify]: Extracting #1: cost 25 inf + 0 167.485 * * [simplify]: Extracting #2: cost 39 inf + 124 167.485 * * [simplify]: Extracting #3: cost 23 inf + 1655 167.486 * * [simplify]: Extracting #4: cost 4 inf + 4214 167.487 * * [simplify]: Extracting #5: cost 0 inf + 4744 167.488 * [simplify]: Simplified to (* (* (sqrt a1) (cos th)) a1) 167.488 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) (cos th)) a1) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.489 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 167.489 * * [simplify]: iters left: 6 (11 enodes) 167.492 * * [simplify]: iters left: 5 (41 enodes) 167.500 * * [simplify]: iters left: 4 (71 enodes) 167.514 * * [simplify]: iters left: 3 (122 enodes) 167.568 * * [simplify]: iters left: 2 (171 enodes) 167.634 * * [simplify]: iters left: 1 (199 enodes) 167.687 * * [simplify]: Extracting #0: cost 1 inf + 0 167.687 * * [simplify]: Extracting #1: cost 24 inf + 0 167.688 * * [simplify]: Extracting #2: cost 51 inf + 1 167.688 * * [simplify]: Extracting #3: cost 53 inf + 46 167.688 * * [simplify]: Extracting #4: cost 50 inf + 211 167.689 * * [simplify]: Extracting #5: cost 22 inf + 6830 167.691 * * [simplify]: Extracting #6: cost 2 inf + 13865 167.693 * * [simplify]: Extracting #7: cost 0 inf + 14480 167.695 * [simplify]: Simplified to (/ (sqrt a1) (sqrt 2)) 167.695 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) (cos th)) a1) (/ (sqrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.695 * * * * [progress]: [ 459 / 614 ] simplifiying candidate # 167.695 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt 1) 1)) 167.695 * * [simplify]: iters left: 5 (8 enodes) 167.699 * * [simplify]: iters left: 4 (29 enodes) 167.703 * * [simplify]: iters left: 3 (35 enodes) 167.709 * * [simplify]: iters left: 2 (47 enodes) 167.716 * * [simplify]: iters left: 1 (57 enodes) 167.726 * * [simplify]: Extracting #0: cost 1 inf + 0 167.726 * * [simplify]: Extracting #1: cost 11 inf + 0 167.726 * * [simplify]: Extracting #2: cost 11 inf + 86 167.728 * * [simplify]: Extracting #3: cost 8 inf + 211 167.728 * * [simplify]: Extracting #4: cost 5 inf + 476 167.728 * * [simplify]: Extracting #5: cost 0 inf + 1027 167.728 * [simplify]: Simplified to (* a1 (cos th)) 167.729 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.729 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 167.729 * * [simplify]: iters left: 6 (10 enodes) 167.732 * * [simplify]: iters left: 5 (38 enodes) 167.740 * * [simplify]: iters left: 4 (68 enodes) 167.761 * * [simplify]: iters left: 3 (119 enodes) 167.800 * * [simplify]: iters left: 2 (167 enodes) 167.848 * * [simplify]: iters left: 1 (188 enodes) 167.903 * * [simplify]: Extracting #0: cost 1 inf + 0 167.903 * * [simplify]: Extracting #1: cost 21 inf + 0 167.903 * * [simplify]: Extracting #2: cost 42 inf + 2 167.904 * * [simplify]: Extracting #3: cost 44 inf + 5 167.904 * * [simplify]: Extracting #4: cost 42 inf + 129 167.905 * * [simplify]: Extracting #5: cost 18 inf + 5190 167.908 * * [simplify]: Extracting #6: cost 1 inf + 10252 167.911 * * [simplify]: Extracting #7: cost 0 inf + 10454 167.914 * [simplify]: Simplified to (/ a1 (sqrt 2)) 167.914 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ a1 (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 167.914 * * * * [progress]: [ 460 / 614 ] simplifiying candidate # 167.915 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 167.915 * * [simplify]: iters left: 6 (13 enodes) 167.921 * * [simplify]: iters left: 5 (50 enodes) 167.939 * * [simplify]: iters left: 4 (104 enodes) 167.980 * * [simplify]: iters left: 3 (259 enodes) 168.058 * * [simplify]: Extracting #0: cost 1 inf + 0 168.058 * * [simplify]: Extracting #1: cost 56 inf + 0 168.059 * * [simplify]: Extracting #2: cost 122 inf + 82 168.059 * * [simplify]: Extracting #3: cost 111 inf + 1619 168.060 * * [simplify]: Extracting #4: cost 106 inf + 3072 168.061 * * [simplify]: Extracting #5: cost 96 inf + 5046 168.065 * * [simplify]: Extracting #6: cost 21 inf + 34424 168.081 * * [simplify]: Extracting #7: cost 0 inf + 42658 168.096 * * [simplify]: Extracting #8: cost 0 inf + 42618 168.111 * [simplify]: Simplified to (/ (cos th) (* (/ (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) a1) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) 168.111 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) a1) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 168.112 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 168.112 * * [simplify]: iters left: 6 (12 enodes) 168.119 * * [simplify]: iters left: 5 (44 enodes) 168.135 * * [simplify]: iters left: 4 (74 enodes) 168.164 * * [simplify]: iters left: 3 (133 enodes) 168.221 * * [simplify]: iters left: 2 (234 enodes) 168.317 * * [simplify]: iters left: 1 (365 enodes) 168.423 * * [simplify]: Extracting #0: cost 1 inf + 0 168.423 * * [simplify]: Extracting #1: cost 23 inf + 0 168.423 * * [simplify]: Extracting #2: cost 44 inf + 1 168.423 * * [simplify]: Extracting #3: cost 44 inf + 83 168.423 * * [simplify]: Extracting #4: cost 42 inf + 165 168.424 * * [simplify]: Extracting #5: cost 26 inf + 3149 168.426 * * [simplify]: Extracting #6: cost 5 inf + 9467 168.428 * * [simplify]: Extracting #7: cost 0 inf + 11117 168.431 * [simplify]: Simplified to (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 168.431 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) a1) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 168.431 * * * * [progress]: [ 461 / 614 ] simplifiying candidate # 168.431 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 168.431 * * [simplify]: iters left: 6 (12 enodes) 168.435 * * [simplify]: iters left: 5 (43 enodes) 168.452 * * [simplify]: iters left: 4 (73 enodes) 168.478 * * [simplify]: iters left: 3 (164 enodes) 168.545 * * [simplify]: iters left: 2 (284 enodes) 168.662 * * [simplify]: iters left: 1 (343 enodes) 168.757 * * [simplify]: Extracting #0: cost 1 inf + 0 168.757 * * [simplify]: Extracting #1: cost 37 inf + 0 168.758 * * [simplify]: Extracting #2: cost 69 inf + 123 168.758 * * [simplify]: Extracting #3: cost 67 inf + 307 168.760 * * [simplify]: Extracting #4: cost 62 inf + 1220 168.760 * * [simplify]: Extracting #5: cost 49 inf + 4101 168.763 * * [simplify]: Extracting #6: cost 10 inf + 17152 168.767 * * [simplify]: Extracting #7: cost 0 inf + 20576 168.771 * [simplify]: Simplified to (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* a1 (sqrt a1))) 168.771 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* a1 (sqrt a1))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 168.771 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 168.772 * * [simplify]: iters left: 6 (12 enodes) 168.775 * * [simplify]: iters left: 5 (44 enodes) 168.784 * * [simplify]: iters left: 4 (74 enodes) 168.809 * * [simplify]: iters left: 3 (133 enodes) 168.842 * * [simplify]: iters left: 2 (234 enodes) 168.936 * * [simplify]: iters left: 1 (365 enodes) 169.078 * * [simplify]: Extracting #0: cost 1 inf + 0 169.079 * * [simplify]: Extracting #1: cost 23 inf + 0 169.079 * * [simplify]: Extracting #2: cost 44 inf + 1 169.079 * * [simplify]: Extracting #3: cost 44 inf + 43 169.080 * * [simplify]: Extracting #4: cost 42 inf + 85 169.081 * * [simplify]: Extracting #5: cost 26 inf + 2869 169.085 * * [simplify]: Extracting #6: cost 5 inf + 8747 169.090 * * [simplify]: Extracting #7: cost 0 inf + 10237 169.095 * [simplify]: Simplified to (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 169.095 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 169.096 * * * * [progress]: [ 462 / 614 ] simplifiying candidate # 169.096 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 169.096 * * [simplify]: iters left: 6 (12 enodes) 169.103 * * [simplify]: iters left: 5 (43 enodes) 169.115 * * [simplify]: iters left: 4 (73 enodes) 169.128 * * [simplify]: iters left: 3 (127 enodes) 169.162 * * [simplify]: iters left: 2 (176 enodes) 169.203 * * [simplify]: iters left: 1 (233 enodes) 169.309 * * [simplify]: Extracting #0: cost 1 inf + 0 169.310 * * [simplify]: Extracting #1: cost 21 inf + 0 169.310 * * [simplify]: Extracting #2: cost 39 inf + 2 169.310 * * [simplify]: Extracting #3: cost 38 inf + 125 169.311 * * [simplify]: Extracting #4: cost 38 inf + 329 169.311 * * [simplify]: Extracting #5: cost 35 inf + 412 169.312 * * [simplify]: Extracting #6: cost 26 inf + 2466 169.315 * * [simplify]: Extracting #7: cost 3 inf + 9377 169.320 * * [simplify]: Extracting #8: cost 0 inf + 10444 169.324 * [simplify]: Simplified to (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) a1))) 169.324 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 169.325 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 169.325 * * [simplify]: iters left: 6 (11 enodes) 169.331 * * [simplify]: iters left: 5 (41 enodes) 169.346 * * [simplify]: iters left: 4 (71 enodes) 169.374 * * [simplify]: iters left: 3 (130 enodes) 169.433 * * [simplify]: iters left: 2 (228 enodes) 169.561 * * [simplify]: iters left: 1 (361 enodes) 169.731 * * [simplify]: Extracting #0: cost 1 inf + 0 169.731 * * [simplify]: Extracting #1: cost 24 inf + 0 169.732 * * [simplify]: Extracting #2: cost 42 inf + 2 169.732 * * [simplify]: Extracting #3: cost 44 inf + 2 169.733 * * [simplify]: Extracting #4: cost 43 inf + 3 169.734 * * [simplify]: Extracting #5: cost 22 inf + 4515 169.738 * * [simplify]: Extracting #6: cost 1 inf + 9276 169.744 * * [simplify]: Extracting #7: cost 0 inf + 9558 169.748 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2)))))) 169.749 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 169.749 * * * * [progress]: [ 463 / 614 ] simplifiying candidate # 169.749 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 169.749 * * [simplify]: iters left: 6 (12 enodes) 169.756 * * [simplify]: iters left: 5 (43 enodes) 169.769 * * [simplify]: iters left: 4 (68 enodes) 169.784 * * [simplify]: iters left: 3 (125 enodes) 169.810 * * [simplify]: iters left: 2 (216 enodes) 169.870 * * [simplify]: iters left: 1 (280 enodes) 169.949 * * [simplify]: Extracting #0: cost 1 inf + 0 169.950 * * [simplify]: Extracting #1: cost 34 inf + 0 169.950 * * [simplify]: Extracting #2: cost 63 inf + 324 169.950 * * [simplify]: Extracting #3: cost 59 inf + 870 169.952 * * [simplify]: Extracting #4: cost 51 inf + 2668 169.953 * * [simplify]: Extracting #5: cost 36 inf + 6036 169.956 * * [simplify]: Extracting #6: cost 3 inf + 16714 169.959 * * [simplify]: Extracting #7: cost 0 inf + 17922 169.962 * [simplify]: Simplified to (/ (* a1 (cbrt a1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cos th)))) 169.962 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cbrt a1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 169.963 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 169.963 * * [simplify]: iters left: 6 (12 enodes) 169.966 * * [simplify]: iters left: 5 (44 enodes) 169.975 * * [simplify]: iters left: 4 (74 enodes) 169.998 * * [simplify]: iters left: 3 (133 enodes) 170.040 * * [simplify]: iters left: 2 (234 enodes) 170.167 * * [simplify]: iters left: 1 (365 enodes) 170.297 * * [simplify]: Extracting #0: cost 1 inf + 0 170.297 * * [simplify]: Extracting #1: cost 23 inf + 0 170.297 * * [simplify]: Extracting #2: cost 44 inf + 1 170.298 * * [simplify]: Extracting #3: cost 44 inf + 83 170.298 * * [simplify]: Extracting #4: cost 42 inf + 165 170.298 * * [simplify]: Extracting #5: cost 26 inf + 3029 170.300 * * [simplify]: Extracting #6: cost 5 inf + 8667 170.303 * * [simplify]: Extracting #7: cost 0 inf + 10157 170.305 * [simplify]: Simplified to (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 170.305 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (/ (/ (cbrt a1) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 170.306 * * * * [progress]: [ 464 / 614 ] simplifiying candidate # 170.306 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 170.306 * * [simplify]: iters left: 6 (11 enodes) 170.309 * * [simplify]: iters left: 5 (38 enodes) 170.315 * * [simplify]: iters left: 4 (55 enodes) 170.330 * * [simplify]: iters left: 3 (88 enodes) 170.356 * * [simplify]: iters left: 2 (120 enodes) 170.391 * * [simplify]: iters left: 1 (129 enodes) 170.414 * * [simplify]: Extracting #0: cost 1 inf + 0 170.414 * * [simplify]: Extracting #1: cost 23 inf + 0 170.414 * * [simplify]: Extracting #2: cost 41 inf + 123 170.414 * * [simplify]: Extracting #3: cost 39 inf + 307 170.415 * * [simplify]: Extracting #4: cost 37 inf + 794 170.415 * * [simplify]: Extracting #5: cost 24 inf + 2734 170.417 * * [simplify]: Extracting #6: cost 1 inf + 9230 170.418 * * [simplify]: Extracting #7: cost 0 inf + 9512 170.420 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) (* a1 (cos th)))) 170.420 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (sqrt (cbrt (sqrt 2))) (* a1 (cos th)))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 170.420 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 170.420 * * [simplify]: iters left: 6 (12 enodes) 170.424 * * [simplify]: iters left: 5 (44 enodes) 170.434 * * [simplify]: iters left: 4 (74 enodes) 170.458 * * [simplify]: iters left: 3 (133 enodes) 170.491 * * [simplify]: iters left: 2 (234 enodes) 170.603 * * [simplify]: iters left: 1 (365 enodes) 170.740 * * [simplify]: Extracting #0: cost 1 inf + 0 170.740 * * [simplify]: Extracting #1: cost 23 inf + 0 170.741 * * [simplify]: Extracting #2: cost 44 inf + 1 170.741 * * [simplify]: Extracting #3: cost 44 inf + 43 170.741 * * [simplify]: Extracting #4: cost 42 inf + 85 170.742 * * [simplify]: Extracting #5: cost 26 inf + 2749 170.743 * * [simplify]: Extracting #6: cost 5 inf + 7947 170.746 * * [simplify]: Extracting #7: cost 0 inf + 9277 170.748 * [simplify]: Simplified to (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 170.748 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ (/ (sqrt a1) (cbrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 170.749 * * * * [progress]: [ 465 / 614 ] simplifiying candidate # 170.749 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (sqrt (cbrt (sqrt 2))) 1)) 170.749 * * [simplify]: iters left: 6 (11 enodes) 170.752 * * [simplify]: iters left: 5 (38 enodes) 170.759 * * [simplify]: iters left: 4 (48 enodes) 170.770 * * [simplify]: iters left: 3 (65 enodes) 170.788 * * [simplify]: iters left: 2 (76 enodes) 170.810 * * [simplify]: iters left: 1 (89 enodes) 170.836 * * [simplify]: Extracting #0: cost 1 inf + 0 170.837 * * [simplify]: Extracting #1: cost 12 inf + 0 170.837 * * [simplify]: Extracting #2: cost 20 inf + 2 170.837 * * [simplify]: Extracting #3: cost 21 inf + 3 170.837 * * [simplify]: Extracting #4: cost 22 inf + 64 170.837 * * [simplify]: Extracting #5: cost 17 inf + 371 170.838 * * [simplify]: Extracting #6: cost 12 inf + 1017 170.839 * * [simplify]: Extracting #7: cost 1 inf + 3842 170.840 * * [simplify]: Extracting #8: cost 0 inf + 4044 170.841 * [simplify]: Simplified to (/ a1 (/ (sqrt (cbrt (sqrt 2))) (cos th))) 170.841 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ a1 (/ (sqrt (cbrt (sqrt 2))) (cos th))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 170.842 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) 170.842 * * [simplify]: iters left: 6 (11 enodes) 170.848 * * [simplify]: iters left: 5 (41 enodes) 170.863 * * [simplify]: iters left: 4 (71 enodes) 170.887 * * [simplify]: iters left: 3 (130 enodes) 170.932 * * [simplify]: iters left: 2 (228 enodes) 171.057 * * [simplify]: iters left: 1 (361 enodes) 171.204 * * [simplify]: Extracting #0: cost 1 inf + 0 171.204 * * [simplify]: Extracting #1: cost 24 inf + 0 171.204 * * [simplify]: Extracting #2: cost 42 inf + 2 171.204 * * [simplify]: Extracting #3: cost 44 inf + 2 171.205 * * [simplify]: Extracting #4: cost 43 inf + 3 171.205 * * [simplify]: Extracting #5: cost 22 inf + 3995 171.210 * * [simplify]: Extracting #6: cost 1 inf + 8356 171.214 * * [simplify]: Extracting #7: cost 0 inf + 8598 171.220 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2)))))) 171.220 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ a1 (/ (sqrt (cbrt (sqrt 2))) (cos th))) (/ a1 (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (sqrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 171.220 * * * * [progress]: [ 466 / 614 ] simplifiying candidate # 171.221 * [simplify]: Simplifying (/ (* (cos th) a1) (/ 1 (* (cbrt a1) (cbrt a1)))) 171.221 * * [simplify]: iters left: 6 (9 enodes) 171.225 * * [simplify]: iters left: 5 (36 enodes) 171.237 * * [simplify]: iters left: 4 (59 enodes) 171.257 * * [simplify]: iters left: 3 (131 enodes) 171.311 * * [simplify]: iters left: 2 (230 enodes) 171.413 * * [simplify]: iters left: 1 (443 enodes) 171.681 * * [simplify]: Extracting #0: cost 1 inf + 0 171.681 * * [simplify]: Extracting #1: cost 23 inf + 0 171.681 * * [simplify]: Extracting #2: cost 38 inf + 247 171.683 * * [simplify]: Extracting #3: cost 18 inf + 3162 171.686 * * [simplify]: Extracting #4: cost 4 inf + 5631 171.690 * * [simplify]: Extracting #5: cost 0 inf + 6441 171.694 * [simplify]: Simplified to (* (* a1 (cbrt a1)) (* (cbrt a1) (cos th))) 171.694 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* a1 (cbrt a1)) (* (cbrt a1) (cos th))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 171.694 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (cbrt a1))) 171.694 * * [simplify]: iters left: 6 (11 enodes) 171.701 * * [simplify]: iters left: 5 (41 enodes) 171.716 * * [simplify]: iters left: 4 (71 enodes) 171.737 * * [simplify]: iters left: 3 (122 enodes) 171.768 * * [simplify]: iters left: 2 (171 enodes) 171.835 * * [simplify]: iters left: 1 (199 enodes) 171.906 * * [simplify]: Extracting #0: cost 1 inf + 0 171.906 * * [simplify]: Extracting #1: cost 24 inf + 0 171.906 * * [simplify]: Extracting #2: cost 51 inf + 1 171.907 * * [simplify]: Extracting #3: cost 53 inf + 86 171.907 * * [simplify]: Extracting #4: cost 50 inf + 291 171.909 * * [simplify]: Extracting #5: cost 22 inf + 7310 171.912 * * [simplify]: Extracting #6: cost 2 inf + 14865 171.917 * * [simplify]: Extracting #7: cost 0 inf + 15520 171.921 * [simplify]: Simplified to (/ (cbrt a1) (sqrt 2)) 171.921 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* a1 (cbrt a1)) (* (cbrt a1) (cos th))) (/ (cbrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 171.921 * * * * [progress]: [ 467 / 614 ] simplifiying candidate # 171.922 * [simplify]: Simplifying (/ (* (cos th) a1) (/ 1 (sqrt a1))) 171.922 * * [simplify]: iters left: 5 (8 enodes) 171.926 * * [simplify]: iters left: 4 (31 enodes) 171.936 * * [simplify]: iters left: 3 (46 enodes) 171.952 * * [simplify]: iters left: 2 (89 enodes) 171.982 * * [simplify]: iters left: 1 (121 enodes) 172.029 * * [simplify]: Extracting #0: cost 1 inf + 0 172.030 * * [simplify]: Extracting #1: cost 25 inf + 0 172.030 * * [simplify]: Extracting #2: cost 39 inf + 85 172.030 * * [simplify]: Extracting #3: cost 23 inf + 1433 172.032 * * [simplify]: Extracting #4: cost 2 inf + 4500 172.034 * * [simplify]: Extracting #5: cost 0 inf + 4744 172.036 * [simplify]: Simplified to (* (* a1 (cos th)) (sqrt a1)) 172.036 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* a1 (cos th)) (sqrt a1)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.037 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) (sqrt a1))) 172.037 * * [simplify]: iters left: 6 (11 enodes) 172.043 * * [simplify]: iters left: 5 (41 enodes) 172.057 * * [simplify]: iters left: 4 (71 enodes) 172.081 * * [simplify]: iters left: 3 (122 enodes) 172.138 * * [simplify]: iters left: 2 (171 enodes) 172.204 * * [simplify]: iters left: 1 (199 enodes) 172.262 * * [simplify]: Extracting #0: cost 1 inf + 0 172.262 * * [simplify]: Extracting #1: cost 24 inf + 0 172.262 * * [simplify]: Extracting #2: cost 51 inf + 1 172.262 * * [simplify]: Extracting #3: cost 53 inf + 46 172.262 * * [simplify]: Extracting #4: cost 50 inf + 211 172.263 * * [simplify]: Extracting #5: cost 22 inf + 6830 172.265 * * [simplify]: Extracting #6: cost 2 inf + 13865 172.267 * * [simplify]: Extracting #7: cost 0 inf + 14480 172.269 * [simplify]: Simplified to (/ (sqrt a1) (sqrt 2)) 172.269 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* a1 (cos th)) (sqrt a1)) (/ (sqrt a1) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.269 * * * * [progress]: [ 468 / 614 ] simplifiying candidate # 172.270 * [simplify]: Simplifying (/ (* (cos th) a1) (/ 1 1)) 172.270 * * [simplify]: iters left: 5 (7 enodes) 172.272 * * [simplify]: iters left: 4 (24 enodes) 172.276 * * [simplify]: iters left: 3 (30 enodes) 172.282 * * [simplify]: iters left: 2 (36 enodes) 172.291 * * [simplify]: iters left: 1 (42 enodes) 172.302 * * [simplify]: Extracting #0: cost 1 inf + 0 172.302 * * [simplify]: Extracting #1: cost 7 inf + 0 172.302 * * [simplify]: Extracting #2: cost 8 inf + 44 172.302 * * [simplify]: Extracting #3: cost 6 inf + 87 172.302 * * [simplify]: Extracting #4: cost 2 inf + 413 172.302 * * [simplify]: Extracting #5: cost 0 inf + 617 172.303 * [simplify]: Simplified to (* a1 (cos th)) 172.303 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.303 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 172.303 * * [simplify]: iters left: 6 (10 enodes) 172.309 * * [simplify]: iters left: 5 (38 enodes) 172.323 * * [simplify]: iters left: 4 (68 enodes) 172.348 * * [simplify]: iters left: 3 (119 enodes) 172.401 * * [simplify]: iters left: 2 (167 enodes) 172.438 * * [simplify]: iters left: 1 (188 enodes) 172.472 * * [simplify]: Extracting #0: cost 1 inf + 0 172.472 * * [simplify]: Extracting #1: cost 21 inf + 0 172.472 * * [simplify]: Extracting #2: cost 42 inf + 2 172.473 * * [simplify]: Extracting #3: cost 44 inf + 5 172.473 * * [simplify]: Extracting #4: cost 42 inf + 129 172.473 * * [simplify]: Extracting #5: cost 18 inf + 5190 172.475 * * [simplify]: Extracting #6: cost 1 inf + 10252 172.476 * * [simplify]: Extracting #7: cost 0 inf + 10454 172.478 * [simplify]: Simplified to (/ a1 (sqrt 2)) 172.478 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ a1 (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.478 * * * * [progress]: [ 469 / 614 ] simplifiying candidate # 172.478 * [simplify]: Simplifying (/ (* (cos th) a1) 1) 172.478 * * [simplify]: iters left: 5 (6 enodes) 172.480 * * [simplify]: iters left: 4 (21 enodes) 172.483 * * [simplify]: iters left: 3 (31 enodes) 172.489 * * [simplify]: iters left: 2 (38 enodes) 172.494 * * [simplify]: iters left: 1 (41 enodes) 172.505 * * [simplify]: Extracting #0: cost 1 inf + 0 172.505 * * [simplify]: Extracting #1: cost 7 inf + 0 172.505 * * [simplify]: Extracting #2: cost 8 inf + 44 172.505 * * [simplify]: Extracting #3: cost 6 inf + 87 172.505 * * [simplify]: Extracting #4: cost 1 inf + 515 172.505 * * [simplify]: Extracting #5: cost 0 inf + 617 172.506 * [simplify]: Simplified to (* a1 (cos th)) 172.506 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.506 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) 172.506 * * [simplify]: iters left: 6 (10 enodes) 172.512 * * [simplify]: iters left: 5 (38 enodes) 172.527 * * [simplify]: iters left: 4 (68 enodes) 172.551 * * [simplify]: iters left: 3 (119 enodes) 172.603 * * [simplify]: iters left: 2 (167 enodes) 172.635 * * [simplify]: iters left: 1 (188 enodes) 172.692 * * [simplify]: Extracting #0: cost 1 inf + 0 172.693 * * [simplify]: Extracting #1: cost 21 inf + 0 172.693 * * [simplify]: Extracting #2: cost 42 inf + 2 172.693 * * [simplify]: Extracting #3: cost 44 inf + 5 172.694 * * [simplify]: Extracting #4: cost 42 inf + 129 172.695 * * [simplify]: Extracting #5: cost 18 inf + 5190 172.698 * * [simplify]: Extracting #6: cost 1 inf + 10252 172.701 * * [simplify]: Extracting #7: cost 0 inf + 10454 172.704 * [simplify]: Simplified to (/ a1 (sqrt 2)) 172.704 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* a1 (cos th)) (/ a1 (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.704 * * * * [progress]: [ 470 / 614 ] simplifiying candidate # 172.705 * [simplify]: Simplifying (/ (* (cos th) a1) (cbrt (sqrt 2))) 172.705 * * [simplify]: iters left: 5 (8 enodes) 172.709 * * [simplify]: iters left: 4 (27 enodes) 172.717 * * [simplify]: iters left: 3 (33 enodes) 172.727 * * [simplify]: iters left: 2 (38 enodes) 172.737 * * [simplify]: iters left: 1 (40 enodes) 172.745 * * [simplify]: Extracting #0: cost 1 inf + 0 172.746 * * [simplify]: Extracting #1: cost 10 inf + 0 172.746 * * [simplify]: Extracting #2: cost 18 inf + 1 172.746 * * [simplify]: Extracting #3: cost 19 inf + 2 172.746 * * [simplify]: Extracting #4: cost 15 inf + 207 172.746 * * [simplify]: Extracting #5: cost 1 inf + 2452 172.746 * * [simplify]: Extracting #6: cost 0 inf + 2715 172.747 * [simplify]: Simplified to (/ (* a1 (cos th)) (cbrt (sqrt 2))) 172.747 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.747 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 a1)) 172.747 * * [simplify]: iters left: 6 (10 enodes) 172.750 * * [simplify]: iters left: 5 (38 enodes) 172.758 * * [simplify]: iters left: 4 (64 enodes) 172.769 * * [simplify]: iters left: 3 (93 enodes) 172.789 * * [simplify]: iters left: 2 (145 enodes) 172.851 * * [simplify]: iters left: 1 (170 enodes) 172.917 * * [simplify]: Extracting #0: cost 1 inf + 0 172.917 * * [simplify]: Extracting #1: cost 12 inf + 0 172.917 * * [simplify]: Extracting #2: cost 19 inf + 2 172.917 * * [simplify]: Extracting #3: cost 20 inf + 44 172.917 * * [simplify]: Extracting #4: cost 18 inf + 87 172.918 * * [simplify]: Extracting #5: cost 11 inf + 935 172.919 * * [simplify]: Extracting #6: cost 2 inf + 2553 172.921 * * [simplify]: Extracting #7: cost 0 inf + 2917 172.922 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 172.923 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cos th) a1) (cbrt (sqrt 2))) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 172.923 * * * * [progress]: [ 471 / 614 ] simplifiying candidate # 172.923 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) 172.923 * * [simplify]: iters left: 6 (13 enodes) 172.931 * * [simplify]: iters left: 5 (51 enodes) 172.947 * * [simplify]: iters left: 4 (108 enodes) 172.987 * * [simplify]: iters left: 3 (261 enodes) 173.084 * * [simplify]: Extracting #0: cost 1 inf + 0 173.084 * * [simplify]: Extracting #1: cost 69 inf + 0 173.085 * * [simplify]: Extracting #2: cost 132 inf + 1 173.086 * * [simplify]: Extracting #3: cost 134 inf + 328 173.087 * * [simplify]: Extracting #4: cost 127 inf + 1278 173.095 * * [simplify]: Extracting #5: cost 50 inf + 25959 173.112 * * [simplify]: Extracting #6: cost 1 inf + 45172 173.131 * * [simplify]: Extracting #7: cost 0 inf + 45595 173.140 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1))) 173.140 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1))) (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.140 * [simplify]: Simplifying (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1))) 173.140 * * [simplify]: iters left: 6 (8 enodes) 173.143 * * [simplify]: iters left: 5 (26 enodes) 173.147 * * [simplify]: iters left: 4 (28 enodes) 173.152 * * [simplify]: Extracting #0: cost 1 inf + 0 173.152 * * [simplify]: Extracting #1: cost 4 inf + 0 173.152 * * [simplify]: Extracting #2: cost 5 inf + 1 173.152 * * [simplify]: Extracting #3: cost 8 inf + 1 173.152 * * [simplify]: Extracting #4: cost 9 inf + 2 173.152 * * [simplify]: Extracting #5: cost 11 inf + 2 173.152 * * [simplify]: Extracting #6: cost 10 inf + 3 173.152 * * [simplify]: Extracting #7: cost 6 inf + 368 173.152 * * [simplify]: Extracting #8: cost 1 inf + 1418 173.153 * * [simplify]: Extracting #9: cost 0 inf + 1701 173.153 * [simplify]: Simplified to (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1))) 173.153 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1))) (/ 1 (cbrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.153 * * * * [progress]: [ 472 / 614 ] simplifiying candidate # 173.153 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (sqrt 2)) a1))) 173.153 * * [simplify]: iters left: 6 (12 enodes) 173.157 * * [simplify]: iters left: 5 (46 enodes) 173.167 * * [simplify]: iters left: 4 (88 enodes) 173.193 * * [simplify]: iters left: 3 (163 enodes) 173.225 * * [simplify]: iters left: 2 (261 enodes) 173.296 * * [simplify]: iters left: 1 (300 enodes) 173.366 * * [simplify]: Extracting #0: cost 1 inf + 0 173.366 * * [simplify]: Extracting #1: cost 34 inf + 0 173.366 * * [simplify]: Extracting #2: cost 66 inf + 1 173.367 * * [simplify]: Extracting #3: cost 66 inf + 63 173.368 * * [simplify]: Extracting #4: cost 51 inf + 2389 173.371 * * [simplify]: Extracting #5: cost 15 inf + 11872 173.379 * * [simplify]: Extracting #6: cost 0 inf + 16469 173.387 * * [simplify]: Extracting #7: cost 0 inf + 16429 173.394 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1)) 173.394 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1)) (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.394 * [simplify]: Simplifying (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) 173.394 * * [simplify]: iters left: 6 (8 enodes) 173.397 * * [simplify]: iters left: 5 (26 enodes) 173.401 * * [simplify]: iters left: 4 (28 enodes) 173.405 * * [simplify]: Extracting #0: cost 1 inf + 0 173.405 * * [simplify]: Extracting #1: cost 4 inf + 0 173.405 * * [simplify]: Extracting #2: cost 5 inf + 1 173.405 * * [simplify]: Extracting #3: cost 8 inf + 1 173.405 * * [simplify]: Extracting #4: cost 9 inf + 2 173.405 * * [simplify]: Extracting #5: cost 11 inf + 2 173.405 * * [simplify]: Extracting #6: cost 10 inf + 3 173.405 * * [simplify]: Extracting #7: cost 6 inf + 368 173.406 * * [simplify]: Extracting #8: cost 1 inf + 1298 173.406 * * [simplify]: Extracting #9: cost 0 inf + 1541 173.406 * [simplify]: Simplified to (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1))) 173.406 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (sqrt (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (sqrt 2)) a1)) (/ 1 (sqrt (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.406 * * * * [progress]: [ 473 / 614 ] simplifiying candidate # 173.406 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 173.406 * * [simplify]: iters left: 6 (14 enodes) 173.410 * * [simplify]: iters left: 5 (56 enodes) 173.420 * * [simplify]: iters left: 4 (121 enodes) 173.454 * * [simplify]: iters left: 3 (341 enodes) 173.617 * * [simplify]: Extracting #0: cost 1 inf + 0 173.617 * * [simplify]: Extracting #1: cost 126 inf + 0 173.619 * * [simplify]: Extracting #2: cost 275 inf + 1 173.622 * * [simplify]: Extracting #3: cost 269 inf + 873 173.627 * * [simplify]: Extracting #4: cost 188 inf + 27988 173.644 * * [simplify]: Extracting #5: cost 25 inf + 95509 173.673 * * [simplify]: Extracting #6: cost 0 inf + 106591 173.697 * [simplify]: Simplified to (/ (* a1 (* (* (cbrt a1) (cbrt a1)) (cos th))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 173.697 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (* (* (cbrt a1) (cbrt a1)) (cos th))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.697 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 173.697 * * [simplify]: iters left: 6 (9 enodes) 173.703 * * [simplify]: iters left: 5 (31 enodes) 173.713 * * [simplify]: iters left: 4 (38 enodes) 173.726 * * [simplify]: iters left: 3 (40 enodes) 173.739 * * [simplify]: iters left: 2 (52 enodes) 173.755 * * [simplify]: Extracting #0: cost 1 inf + 0 173.755 * * [simplify]: Extracting #1: cost 7 inf + 0 173.755 * * [simplify]: Extracting #2: cost 12 inf + 1 173.755 * * [simplify]: Extracting #3: cost 13 inf + 2 173.755 * * [simplify]: Extracting #4: cost 13 inf + 164 173.755 * * [simplify]: Extracting #5: cost 12 inf + 165 173.756 * * [simplify]: Extracting #6: cost 9 inf + 368 173.756 * * [simplify]: Extracting #7: cost 3 inf + 1898 173.757 * * [simplify]: Extracting #8: cost 0 inf + 2663 173.757 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) 173.757 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 173.758 * * * * [progress]: [ 474 / 614 ] simplifiying candidate # 173.758 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) 173.758 * * [simplify]: iters left: 6 (13 enodes) 173.765 * * [simplify]: iters left: 5 (51 enodes) 173.780 * * [simplify]: iters left: 4 (108 enodes) 173.801 * * [simplify]: iters left: 3 (275 enodes) 173.967 * * [simplify]: Extracting #0: cost 1 inf + 0 173.967 * * [simplify]: Extracting #1: cost 89 inf + 0 173.968 * * [simplify]: Extracting #2: cost 168 inf + 123 173.970 * * [simplify]: Extracting #3: cost 163 inf + 754 173.972 * * [simplify]: Extracting #4: cost 152 inf + 2812 173.982 * * [simplify]: Extracting #5: cost 59 inf + 34027 174.004 * * [simplify]: Extracting #6: cost 0 inf + 56632 174.027 * [simplify]: Simplified to (* (/ (* a1 (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 174.027 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* a1 (cos th)) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 174.028 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 174.028 * * [simplify]: iters left: 6 (9 enodes) 174.033 * * [simplify]: iters left: 5 (31 enodes) 174.047 * * [simplify]: iters left: 4 (38 enodes) 174.058 * * [simplify]: iters left: 3 (40 enodes) 174.065 * * [simplify]: iters left: 2 (52 enodes) 174.073 * * [simplify]: Extracting #0: cost 1 inf + 0 174.073 * * [simplify]: Extracting #1: cost 7 inf + 0 174.073 * * [simplify]: Extracting #2: cost 12 inf + 1 174.073 * * [simplify]: Extracting #3: cost 13 inf + 2 174.073 * * [simplify]: Extracting #4: cost 13 inf + 84 174.074 * * [simplify]: Extracting #5: cost 12 inf + 85 174.074 * * [simplify]: Extracting #6: cost 9 inf + 288 174.074 * * [simplify]: Extracting #7: cost 3 inf + 1698 174.074 * * [simplify]: Extracting #8: cost 0 inf + 2423 174.075 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) 174.075 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 174.075 * * * * [progress]: [ 475 / 614 ] simplifiying candidate # 174.075 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) 174.075 * * [simplify]: iters left: 6 (13 enodes) 174.079 * * [simplify]: iters left: 5 (51 enodes) 174.088 * * [simplify]: iters left: 4 (98 enodes) 174.119 * * [simplify]: iters left: 3 (210 enodes) 174.199 * * [simplify]: iters left: 2 (397 enodes) 174.481 * * [simplify]: Extracting #0: cost 1 inf + 0 174.481 * * [simplify]: Extracting #1: cost 67 inf + 0 174.482 * * [simplify]: Extracting #2: cost 118 inf + 2 174.482 * * [simplify]: Extracting #3: cost 116 inf + 227 174.483 * * [simplify]: Extracting #4: cost 110 inf + 956 174.485 * * [simplify]: Extracting #5: cost 56 inf + 15973 174.493 * * [simplify]: Extracting #6: cost 0 inf + 34739 174.506 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 174.506 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 174.507 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) a1)) 174.507 * * [simplify]: iters left: 6 (8 enodes) 174.512 * * [simplify]: iters left: 5 (28 enodes) 174.522 * * [simplify]: iters left: 4 (35 enodes) 174.533 * * [simplify]: iters left: 3 (37 enodes) 174.543 * * [simplify]: Extracting #0: cost 1 inf + 0 174.543 * * [simplify]: Extracting #1: cost 7 inf + 0 174.543 * * [simplify]: Extracting #2: cost 9 inf + 2 174.543 * * [simplify]: Extracting #3: cost 11 inf + 2 174.543 * * [simplify]: Extracting #4: cost 13 inf + 2 174.543 * * [simplify]: Extracting #5: cost 12 inf + 3 174.543 * * [simplify]: Extracting #6: cost 9 inf + 206 174.544 * * [simplify]: Extracting #7: cost 0 inf + 2181 174.544 * [simplify]: Simplified to (/ a1 (cbrt (cbrt (sqrt 2)))) 174.544 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 174.544 * * * * [progress]: [ 476 / 614 ] simplifiying candidate # 174.544 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) 174.544 * * [simplify]: iters left: 6 (17 enodes) 174.549 * * [simplify]: iters left: 5 (66 enodes) 174.559 * * [simplify]: iters left: 4 (131 enodes) 174.606 * * [simplify]: iters left: 3 (351 enodes) 174.851 * * [simplify]: Extracting #0: cost 1 inf + 0 174.851 * * [simplify]: Extracting #1: cost 123 inf + 0 174.853 * * [simplify]: Extracting #2: cost 273 inf + 1 174.856 * * [simplify]: Extracting #3: cost 267 inf + 1297 174.861 * * [simplify]: Extracting #4: cost 217 inf + 17404 174.890 * * [simplify]: Extracting #5: cost 27 inf + 100857 174.912 * * [simplify]: Extracting #6: cost 0 inf + 115469 174.952 * * [simplify]: Extracting #7: cost 0 inf + 115349 174.994 * [simplify]: Simplified to (* (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) a1) 174.995 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) a1) (/ 1 (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 174.995 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) 174.995 * * [simplify]: iters left: 6 (9 enodes) 175.000 * * [simplify]: iters left: 5 (31 enodes) 175.012 * * [simplify]: iters left: 4 (38 enodes) 175.024 * * [simplify]: iters left: 3 (40 enodes) 175.037 * * [simplify]: iters left: 2 (52 enodes) 175.053 * * [simplify]: Extracting #0: cost 1 inf + 0 175.053 * * [simplify]: Extracting #1: cost 7 inf + 0 175.053 * * [simplify]: Extracting #2: cost 12 inf + 1 175.053 * * [simplify]: Extracting #3: cost 13 inf + 2 175.053 * * [simplify]: Extracting #4: cost 13 inf + 164 175.054 * * [simplify]: Extracting #5: cost 12 inf + 165 175.054 * * [simplify]: Extracting #6: cost 9 inf + 448 175.054 * * [simplify]: Extracting #7: cost 3 inf + 1978 175.055 * * [simplify]: Extracting #8: cost 0 inf + 2743 175.056 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt (cbrt 2)))) 175.056 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cos th) (cbrt (fabs (cbrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) a1) (/ (cbrt a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 175.056 * * * * [progress]: [ 477 / 614 ] simplifiying candidate # 175.056 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) 175.057 * * [simplify]: iters left: 6 (16 enodes) 175.065 * * [simplify]: iters left: 5 (61 enodes) 175.087 * * [simplify]: iters left: 4 (118 enodes) 175.132 * * [simplify]: iters left: 3 (285 enodes) 175.259 * * [simplify]: Extracting #0: cost 1 inf + 0 175.259 * * [simplify]: Extracting #1: cost 90 inf + 0 175.260 * * [simplify]: Extracting #2: cost 171 inf + 42 175.261 * * [simplify]: Extracting #3: cost 169 inf + 773 175.262 * * [simplify]: Extracting #4: cost 160 inf + 2110 175.266 * * [simplify]: Extracting #5: cost 70 inf + 33553 175.277 * * [simplify]: Extracting #6: cost 3 inf + 62795 175.289 * * [simplify]: Extracting #7: cost 0 inf + 64101 175.301 * [simplify]: Simplified to (/ (/ (/ (* (* a1 (sqrt a1)) (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) 175.301 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (* (* a1 (sqrt a1)) (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ 1 (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 175.302 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) 175.302 * * [simplify]: iters left: 6 (9 enodes) 175.309 * * [simplify]: iters left: 5 (31 enodes) 175.320 * * [simplify]: iters left: 4 (38 enodes) 175.332 * * [simplify]: iters left: 3 (40 enodes) 175.345 * * [simplify]: iters left: 2 (52 enodes) 175.360 * * [simplify]: Extracting #0: cost 1 inf + 0 175.360 * * [simplify]: Extracting #1: cost 7 inf + 0 175.360 * * [simplify]: Extracting #2: cost 12 inf + 1 175.360 * * [simplify]: Extracting #3: cost 13 inf + 2 175.360 * * [simplify]: Extracting #4: cost 13 inf + 84 175.360 * * [simplify]: Extracting #5: cost 12 inf + 85 175.361 * * [simplify]: Extracting #6: cost 9 inf + 368 175.361 * * [simplify]: Extracting #7: cost 3 inf + 1778 175.362 * * [simplify]: Extracting #8: cost 0 inf + 2503 175.362 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt (cbrt 2)))) 175.362 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (/ (* (* a1 (sqrt a1)) (cos th)) (cbrt (sqrt 2))) (cbrt (fabs (cbrt 2)))) (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 175.363 * * * * [progress]: [ 478 / 614 ] simplifiying candidate # 175.363 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) 175.364 * * [simplify]: iters left: 6 (16 enodes) 175.372 * * [simplify]: iters left: 5 (61 enodes) 175.393 * * [simplify]: iters left: 4 (108 enodes) 175.426 * * [simplify]: iters left: 3 (218 enodes) 175.510 * * [simplify]: iters left: 2 (396 enodes) 175.777 * * [simplify]: Extracting #0: cost 1 inf + 0 175.778 * * [simplify]: Extracting #1: cost 67 inf + 0 175.779 * * [simplify]: Extracting #2: cost 121 inf + 2 175.780 * * [simplify]: Extracting #3: cost 122 inf + 227 175.782 * * [simplify]: Extracting #4: cost 108 inf + 3039 175.789 * * [simplify]: Extracting #5: cost 41 inf + 23067 175.806 * * [simplify]: Extracting #6: cost 2 inf + 38363 175.824 * * [simplify]: Extracting #7: cost 0 inf + 39190 175.842 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) 175.842 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ 1 (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 175.843 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (cbrt 2))) a1)) 175.843 * * [simplify]: iters left: 6 (8 enodes) 175.848 * * [simplify]: iters left: 5 (28 enodes) 175.857 * * [simplify]: iters left: 4 (35 enodes) 175.868 * * [simplify]: iters left: 3 (37 enodes) 175.879 * * [simplify]: Extracting #0: cost 1 inf + 0 175.880 * * [simplify]: Extracting #1: cost 7 inf + 0 175.880 * * [simplify]: Extracting #2: cost 9 inf + 2 175.880 * * [simplify]: Extracting #3: cost 11 inf + 2 175.880 * * [simplify]: Extracting #4: cost 13 inf + 2 175.880 * * [simplify]: Extracting #5: cost 12 inf + 3 175.880 * * [simplify]: Extracting #6: cost 9 inf + 286 175.880 * * [simplify]: Extracting #7: cost 0 inf + 2261 175.881 * [simplify]: Simplified to (/ a1 (cbrt (sqrt (cbrt 2)))) 175.881 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (fabs (cbrt 2)))) (/ a1 (cbrt (sqrt (cbrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 175.881 * * * * [progress]: [ 479 / 614 ] simplifiying candidate # 175.882 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 175.882 * * [simplify]: iters left: 6 (15 enodes) 175.889 * * [simplify]: iters left: 5 (59 enodes) 175.914 * * [simplify]: iters left: 4 (124 enodes) 175.940 * * [simplify]: iters left: 3 (342 enodes) 176.102 * * [simplify]: Extracting #0: cost 1 inf + 0 176.102 * * [simplify]: Extracting #1: cost 121 inf + 0 176.104 * * [simplify]: Extracting #2: cost 269 inf + 1 176.107 * * [simplify]: Extracting #3: cost 259 inf + 1903 176.118 * * [simplify]: Extracting #4: cost 178 inf + 27253 176.145 * * [simplify]: Extracting #5: cost 20 inf + 92964 176.163 * * [simplify]: Extracting #6: cost 0 inf + 101333 176.187 * * [simplify]: Extracting #7: cost 0 inf + 101293 176.205 * [simplify]: Simplified to (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) 176.205 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.206 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 176.206 * * [simplify]: iters left: 6 (9 enodes) 176.209 * * [simplify]: iters left: 5 (31 enodes) 176.215 * * [simplify]: iters left: 4 (38 enodes) 176.222 * * [simplify]: iters left: 3 (40 enodes) 176.234 * * [simplify]: iters left: 2 (52 enodes) 176.250 * * [simplify]: Extracting #0: cost 1 inf + 0 176.250 * * [simplify]: Extracting #1: cost 7 inf + 0 176.250 * * [simplify]: Extracting #2: cost 12 inf + 1 176.250 * * [simplify]: Extracting #3: cost 13 inf + 2 176.251 * * [simplify]: Extracting #4: cost 13 inf + 164 176.251 * * [simplify]: Extracting #5: cost 12 inf + 165 176.251 * * [simplify]: Extracting #6: cost 9 inf + 328 176.251 * * [simplify]: Extracting #7: cost 3 inf + 1618 176.252 * * [simplify]: Extracting #8: cost 0 inf + 2263 176.253 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) 176.253 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.253 * * * * [progress]: [ 480 / 614 ] simplifiying candidate # 176.253 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 176.253 * * [simplify]: iters left: 6 (14 enodes) 176.260 * * [simplify]: iters left: 5 (54 enodes) 176.279 * * [simplify]: iters left: 4 (111 enodes) 176.300 * * [simplify]: iters left: 3 (276 enodes) 176.427 * * [simplify]: Extracting #0: cost 1 inf + 0 176.427 * * [simplify]: Extracting #1: cost 87 inf + 0 176.428 * * [simplify]: Extracting #2: cost 167 inf + 123 176.429 * * [simplify]: Extracting #3: cost 164 inf + 572 176.430 * * [simplify]: Extracting #4: cost 150 inf + 2856 176.434 * * [simplify]: Extracting #5: cost 56 inf + 33766 176.445 * * [simplify]: Extracting #6: cost 0 inf + 54849 176.457 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt (sqrt 2))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 176.458 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt (sqrt 2))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.458 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 176.458 * * [simplify]: iters left: 6 (9 enodes) 176.463 * * [simplify]: iters left: 5 (31 enodes) 176.473 * * [simplify]: iters left: 4 (38 enodes) 176.485 * * [simplify]: iters left: 3 (40 enodes) 176.498 * * [simplify]: iters left: 2 (52 enodes) 176.516 * * [simplify]: Extracting #0: cost 1 inf + 0 176.517 * * [simplify]: Extracting #1: cost 7 inf + 0 176.517 * * [simplify]: Extracting #2: cost 12 inf + 1 176.517 * * [simplify]: Extracting #3: cost 13 inf + 2 176.517 * * [simplify]: Extracting #4: cost 13 inf + 84 176.517 * * [simplify]: Extracting #5: cost 12 inf + 85 176.517 * * [simplify]: Extracting #6: cost 9 inf + 248 176.518 * * [simplify]: Extracting #7: cost 3 inf + 1418 176.518 * * [simplify]: Extracting #8: cost 0 inf + 2023 176.519 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) 176.519 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.519 * * * * [progress]: [ 481 / 614 ] simplifiying candidate # 176.519 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 176.520 * * [simplify]: iters left: 6 (14 enodes) 176.527 * * [simplify]: iters left: 5 (54 enodes) 176.545 * * [simplify]: iters left: 4 (101 enodes) 176.583 * * [simplify]: iters left: 3 (211 enodes) 176.649 * * [simplify]: iters left: 2 (386 enodes) 176.888 * * [simplify]: Extracting #0: cost 1 inf + 0 176.888 * * [simplify]: Extracting #1: cost 67 inf + 0 176.888 * * [simplify]: Extracting #2: cost 121 inf + 2 176.889 * * [simplify]: Extracting #3: cost 119 inf + 329 176.890 * * [simplify]: Extracting #4: cost 113 inf + 1158 176.893 * * [simplify]: Extracting #5: cost 45 inf + 19631 176.901 * * [simplify]: Extracting #6: cost 0 inf + 34306 176.911 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 176.911 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.911 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) a1)) 176.911 * * [simplify]: iters left: 6 (8 enodes) 176.914 * * [simplify]: iters left: 5 (28 enodes) 176.919 * * [simplify]: iters left: 4 (35 enodes) 176.925 * * [simplify]: iters left: 3 (37 enodes) 176.930 * * [simplify]: Extracting #0: cost 1 inf + 0 176.931 * * [simplify]: Extracting #1: cost 7 inf + 0 176.931 * * [simplify]: Extracting #2: cost 9 inf + 2 176.931 * * [simplify]: Extracting #3: cost 11 inf + 2 176.931 * * [simplify]: Extracting #4: cost 13 inf + 2 176.931 * * [simplify]: Extracting #5: cost 12 inf + 3 176.931 * * [simplify]: Extracting #6: cost 9 inf + 166 176.931 * * [simplify]: Extracting #7: cost 0 inf + 1781 176.931 * [simplify]: Simplified to (/ a1 (cbrt (sqrt (sqrt 2)))) 176.931 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ a1 (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 176.931 * * * * [progress]: [ 482 / 614 ] simplifiying candidate # 176.932 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) 176.932 * * [simplify]: iters left: 6 (16 enodes) 176.940 * * [simplify]: iters left: 5 (64 enodes) 176.965 * * [simplify]: iters left: 4 (125 enodes) 176.999 * * [simplify]: iters left: 3 (330 enodes) 177.210 * * [simplify]: Extracting #0: cost 1 inf + 0 177.211 * * [simplify]: Extracting #1: cost 103 inf + 0 177.213 * * [simplify]: Extracting #2: cost 219 inf + 2 177.215 * * [simplify]: Extracting #3: cost 205 inf + 2111 177.222 * * [simplify]: Extracting #4: cost 110 inf + 25347 177.244 * * [simplify]: Extracting #5: cost 16 inf + 57072 177.269 * * [simplify]: Extracting #6: cost 0 inf + 61913 177.295 * * [simplify]: Extracting #7: cost 0 inf + 61792 177.324 * [simplify]: Simplified to (* (* a1 (cos th)) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 177.324 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* a1 (cos th)) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 177.325 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1))) 177.325 * * [simplify]: iters left: 6 (8 enodes) 177.330 * * [simplify]: iters left: 5 (28 enodes) 177.340 * * [simplify]: iters left: 4 (35 enodes) 177.351 * * [simplify]: iters left: 3 (37 enodes) 177.363 * * [simplify]: iters left: 2 (49 enodes) 177.378 * * [simplify]: Extracting #0: cost 1 inf + 0 177.378 * * [simplify]: Extracting #1: cost 7 inf + 0 177.379 * * [simplify]: Extracting #2: cost 12 inf + 1 177.379 * * [simplify]: Extracting #3: cost 12 inf + 83 177.379 * * [simplify]: Extracting #4: cost 10 inf + 165 177.379 * * [simplify]: Extracting #5: cost 5 inf + 852 177.380 * * [simplify]: Extracting #6: cost 0 inf + 1781 177.380 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt 2))) 177.380 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* a1 (cos th)) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 177.381 * * * * [progress]: [ 483 / 614 ] simplifiying candidate # 177.381 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) (sqrt a1))) 177.381 * * [simplify]: iters left: 6 (15 enodes) 177.388 * * [simplify]: iters left: 5 (59 enodes) 177.399 * * [simplify]: iters left: 4 (109 enodes) 177.424 * * [simplify]: iters left: 3 (233 enodes) 177.517 * * [simplify]: iters left: 2 (499 enodes) 177.926 * * [simplify]: Extracting #0: cost 1 inf + 0 177.927 * * [simplify]: Extracting #1: cost 64 inf + 0 177.928 * * [simplify]: Extracting #2: cost 117 inf + 124 177.929 * * [simplify]: Extracting #3: cost 97 inf + 2386 177.932 * * [simplify]: Extracting #4: cost 77 inf + 6106 177.940 * * [simplify]: Extracting #5: cost 14 inf + 21819 177.953 * * [simplify]: Extracting #6: cost 0 inf + 25998 177.965 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (* a1 (sqrt a1)) (cbrt (sqrt 2)))) 177.965 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (* a1 (sqrt a1)) (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 177.966 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1))) 177.966 * * [simplify]: iters left: 6 (8 enodes) 177.970 * * [simplify]: iters left: 5 (28 enodes) 177.979 * * [simplify]: iters left: 4 (35 enodes) 177.989 * * [simplify]: iters left: 3 (37 enodes) 177.999 * * [simplify]: iters left: 2 (49 enodes) 178.013 * * [simplify]: Extracting #0: cost 1 inf + 0 178.013 * * [simplify]: Extracting #1: cost 7 inf + 0 178.013 * * [simplify]: Extracting #2: cost 12 inf + 1 178.013 * * [simplify]: Extracting #3: cost 12 inf + 43 178.013 * * [simplify]: Extracting #4: cost 10 inf + 85 178.013 * * [simplify]: Extracting #5: cost 5 inf + 692 178.014 * * [simplify]: Extracting #6: cost 0 inf + 1541 178.014 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt 2))) 178.014 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (* a1 (sqrt a1)) (cbrt (sqrt 2)))) (/ (sqrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 178.015 * * * * [progress]: [ 484 / 614 ] simplifiying candidate # 178.015 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 1)) 1)) 178.015 * * [simplify]: iters left: 6 (14 enodes) 178.026 * * [simplify]: iters left: 5 (54 enodes) 178.039 * * [simplify]: iters left: 4 (87 enodes) 178.061 * * [simplify]: iters left: 3 (137 enodes) 178.105 * * [simplify]: iters left: 2 (207 enodes) 178.180 * * [simplify]: iters left: 1 (345 enodes) 178.432 * * [simplify]: Extracting #0: cost 1 inf + 0 178.432 * * [simplify]: Extracting #1: cost 25 inf + 0 178.433 * * [simplify]: Extracting #2: cost 45 inf + 2 178.433 * * [simplify]: Extracting #3: cost 44 inf + 106 178.434 * * [simplify]: Extracting #4: cost 21 inf + 3147 178.436 * * [simplify]: Extracting #5: cost 2 inf + 7732 178.439 * * [simplify]: Extracting #6: cost 0 inf + 8136 178.442 * [simplify]: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) 178.442 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 178.442 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) a1)) 178.442 * * [simplify]: iters left: 6 (7 enodes) 178.445 * * [simplify]: iters left: 5 (25 enodes) 178.451 * * [simplify]: iters left: 4 (32 enodes) 178.456 * * [simplify]: iters left: 3 (34 enodes) 178.461 * * [simplify]: Extracting #0: cost 1 inf + 0 178.462 * * [simplify]: Extracting #1: cost 7 inf + 0 178.462 * * [simplify]: Extracting #2: cost 9 inf + 2 178.462 * * [simplify]: Extracting #3: cost 11 inf + 2 178.462 * * [simplify]: Extracting #4: cost 10 inf + 3 178.462 * * [simplify]: Extracting #5: cost 4 inf + 651 178.462 * * [simplify]: Extracting #6: cost 1 inf + 1137 178.462 * * [simplify]: Extracting #7: cost 0 inf + 1299 178.462 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 178.462 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 178.462 * * * * [progress]: [ 485 / 614 ] simplifiying candidate # 178.463 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 178.463 * * [simplify]: iters left: 6 (15 enodes) 178.466 * * [simplify]: iters left: 5 (59 enodes) 178.483 * * [simplify]: iters left: 4 (124 enodes) 178.522 * * [simplify]: iters left: 3 (342 enodes) 178.712 * * [simplify]: Extracting #0: cost 1 inf + 0 178.712 * * [simplify]: Extracting #1: cost 121 inf + 0 178.713 * * [simplify]: Extracting #2: cost 269 inf + 1 178.715 * * [simplify]: Extracting #3: cost 259 inf + 1903 178.718 * * [simplify]: Extracting #4: cost 178 inf + 27253 178.748 * * [simplify]: Extracting #5: cost 20 inf + 92964 178.785 * * [simplify]: Extracting #6: cost 0 inf + 101333 178.823 * * [simplify]: Extracting #7: cost 0 inf + 101293 178.867 * [simplify]: Simplified to (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) 178.867 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 178.868 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) 178.868 * * [simplify]: iters left: 6 (9 enodes) 178.873 * * [simplify]: iters left: 5 (31 enodes) 178.881 * * [simplify]: iters left: 4 (38 enodes) 178.887 * * [simplify]: iters left: 3 (40 enodes) 178.894 * * [simplify]: iters left: 2 (52 enodes) 178.902 * * [simplify]: Extracting #0: cost 1 inf + 0 178.902 * * [simplify]: Extracting #1: cost 7 inf + 0 178.902 * * [simplify]: Extracting #2: cost 12 inf + 1 178.902 * * [simplify]: Extracting #3: cost 13 inf + 2 178.902 * * [simplify]: Extracting #4: cost 13 inf + 164 178.902 * * [simplify]: Extracting #5: cost 12 inf + 165 178.902 * * [simplify]: Extracting #6: cost 9 inf + 328 178.902 * * [simplify]: Extracting #7: cost 3 inf + 1618 178.903 * * [simplify]: Extracting #8: cost 0 inf + 2263 178.903 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt (sqrt 2)))) 178.903 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ a1 (cbrt (sqrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 178.903 * * * * [progress]: [ 486 / 614 ] simplifiying candidate # 178.903 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 178.903 * * [simplify]: iters left: 6 (14 enodes) 178.907 * * [simplify]: iters left: 5 (54 enodes) 178.916 * * [simplify]: iters left: 4 (111 enodes) 178.940 * * [simplify]: iters left: 3 (276 enodes) 179.065 * * [simplify]: Extracting #0: cost 1 inf + 0 179.065 * * [simplify]: Extracting #1: cost 87 inf + 0 179.066 * * [simplify]: Extracting #2: cost 167 inf + 123 179.066 * * [simplify]: Extracting #3: cost 164 inf + 572 179.067 * * [simplify]: Extracting #4: cost 150 inf + 2856 179.072 * * [simplify]: Extracting #5: cost 56 inf + 33766 179.083 * * [simplify]: Extracting #6: cost 0 inf + 54849 179.107 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt (sqrt 2))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 179.107 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (cbrt (sqrt (sqrt 2))) (/ (* (sqrt a1) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.107 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) 179.107 * * [simplify]: iters left: 6 (9 enodes) 179.113 * * [simplify]: iters left: 5 (31 enodes) 179.122 * * [simplify]: iters left: 4 (38 enodes) 179.128 * * [simplify]: iters left: 3 (40 enodes) 179.135 * * [simplify]: iters left: 2 (52 enodes) 179.143 * * [simplify]: Extracting #0: cost 1 inf + 0 179.143 * * [simplify]: Extracting #1: cost 7 inf + 0 179.143 * * [simplify]: Extracting #2: cost 12 inf + 1 179.143 * * [simplify]: Extracting #3: cost 13 inf + 2 179.143 * * [simplify]: Extracting #4: cost 13 inf + 84 179.143 * * [simplify]: Extracting #5: cost 12 inf + 85 179.143 * * [simplify]: Extracting #6: cost 9 inf + 248 179.143 * * [simplify]: Extracting #7: cost 3 inf + 1418 179.144 * * [simplify]: Extracting #8: cost 0 inf + 2023 179.144 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt (sqrt 2)))) 179.144 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.144 * * * * [progress]: [ 487 / 614 ] simplifiying candidate # 179.144 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) 1)) 179.145 * * [simplify]: iters left: 6 (14 enodes) 179.148 * * [simplify]: iters left: 5 (54 enodes) 179.166 * * [simplify]: iters left: 4 (101 enodes) 179.190 * * [simplify]: iters left: 3 (211 enodes) 179.257 * * [simplify]: iters left: 2 (386 enodes) 179.515 * * [simplify]: Extracting #0: cost 1 inf + 0 179.516 * * [simplify]: Extracting #1: cost 67 inf + 0 179.517 * * [simplify]: Extracting #2: cost 121 inf + 2 179.518 * * [simplify]: Extracting #3: cost 119 inf + 329 179.519 * * [simplify]: Extracting #4: cost 113 inf + 1158 179.525 * * [simplify]: Extracting #5: cost 45 inf + 19631 179.537 * * [simplify]: Extracting #6: cost 0 inf + 34306 179.545 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) 179.545 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ 1 (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.545 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt (sqrt 2))) a1)) 179.545 * * [simplify]: iters left: 6 (8 enodes) 179.548 * * [simplify]: iters left: 5 (28 enodes) 179.552 * * [simplify]: iters left: 4 (35 enodes) 179.558 * * [simplify]: iters left: 3 (37 enodes) 179.563 * * [simplify]: Extracting #0: cost 1 inf + 0 179.563 * * [simplify]: Extracting #1: cost 7 inf + 0 179.563 * * [simplify]: Extracting #2: cost 9 inf + 2 179.563 * * [simplify]: Extracting #3: cost 11 inf + 2 179.563 * * [simplify]: Extracting #4: cost 13 inf + 2 179.563 * * [simplify]: Extracting #5: cost 12 inf + 3 179.563 * * [simplify]: Extracting #6: cost 9 inf + 166 179.563 * * [simplify]: Extracting #7: cost 0 inf + 1781 179.564 * [simplify]: Simplified to (/ a1 (cbrt (sqrt (sqrt 2)))) 179.564 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ a1 (cbrt (sqrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.564 * * * * [progress]: [ 488 / 614 ] simplifiying candidate # 179.564 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 179.564 * * [simplify]: iters left: 6 (15 enodes) 179.569 * * [simplify]: iters left: 5 (61 enodes) 179.581 * * [simplify]: iters left: 4 (122 enodes) 179.632 * * [simplify]: iters left: 3 (325 enodes) 179.838 * * [simplify]: Extracting #0: cost 1 inf + 0 179.838 * * [simplify]: Extracting #1: cost 105 inf + 0 179.840 * * [simplify]: Extracting #2: cost 222 inf + 2 179.842 * * [simplify]: Extracting #3: cost 203 inf + 2838 179.849 * * [simplify]: Extracting #4: cost 116 inf + 23658 179.870 * * [simplify]: Extracting #5: cost 15 inf + 57237 179.900 * * [simplify]: Extracting #6: cost 0 inf + 62640 179.925 * [simplify]: Simplified to (/ (cos th) (/ (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) a1)) 179.925 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) a1)) (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.925 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1))) 179.926 * * [simplify]: iters left: 6 (8 enodes) 179.931 * * [simplify]: iters left: 5 (28 enodes) 179.940 * * [simplify]: iters left: 4 (35 enodes) 179.951 * * [simplify]: iters left: 3 (37 enodes) 179.962 * * [simplify]: iters left: 2 (49 enodes) 179.970 * * [simplify]: Extracting #0: cost 1 inf + 0 179.970 * * [simplify]: Extracting #1: cost 7 inf + 0 179.970 * * [simplify]: Extracting #2: cost 12 inf + 1 179.970 * * [simplify]: Extracting #3: cost 12 inf + 83 179.970 * * [simplify]: Extracting #4: cost 10 inf + 165 179.971 * * [simplify]: Extracting #5: cost 5 inf + 852 179.971 * * [simplify]: Extracting #6: cost 0 inf + 1781 179.971 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt 2))) 179.971 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1))) a1)) (/ (cbrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 179.971 * * * * [progress]: [ 489 / 614 ] simplifiying candidate # 179.971 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) (sqrt a1))) 179.972 * * [simplify]: iters left: 6 (14 enodes) 179.976 * * [simplify]: iters left: 5 (56 enodes) 179.986 * * [simplify]: iters left: 4 (106 enodes) 180.008 * * [simplify]: iters left: 3 (228 enodes) 180.106 * * [simplify]: iters left: 2 (492 enodes) 180.469 * * [simplify]: Extracting #0: cost 1 inf + 0 180.470 * * [simplify]: Extracting #1: cost 68 inf + 0 180.471 * * [simplify]: Extracting #2: cost 120 inf + 43 180.472 * * [simplify]: Extracting #3: cost 107 inf + 1247 180.475 * * [simplify]: Extracting #4: cost 82 inf + 5339 180.484 * * [simplify]: Extracting #5: cost 11 inf + 23554 180.498 * * [simplify]: Extracting #6: cost 0 inf + 26804 180.512 * [simplify]: Simplified to (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt a1) a1)) 180.512 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt a1) a1)) (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 180.513 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1))) 180.513 * * [simplify]: iters left: 6 (8 enodes) 180.518 * * [simplify]: iters left: 5 (28 enodes) 180.522 * * [simplify]: iters left: 4 (35 enodes) 180.528 * * [simplify]: iters left: 3 (37 enodes) 180.534 * * [simplify]: iters left: 2 (49 enodes) 180.542 * * [simplify]: Extracting #0: cost 1 inf + 0 180.542 * * [simplify]: Extracting #1: cost 7 inf + 0 180.542 * * [simplify]: Extracting #2: cost 12 inf + 1 180.542 * * [simplify]: Extracting #3: cost 12 inf + 43 180.542 * * [simplify]: Extracting #4: cost 10 inf + 85 180.542 * * [simplify]: Extracting #5: cost 5 inf + 692 180.542 * * [simplify]: Extracting #6: cost 0 inf + 1541 180.543 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt 2))) 180.543 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (sqrt a1) a1)) (/ (sqrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 180.543 * * * * [progress]: [ 490 / 614 ] simplifiying candidate # 180.543 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt 1) 1)) 180.543 * * [simplify]: iters left: 6 (13 enodes) 180.551 * * [simplify]: iters left: 5 (51 enodes) 180.574 * * [simplify]: iters left: 4 (84 enodes) 180.601 * * [simplify]: iters left: 3 (134 enodes) 180.628 * * [simplify]: iters left: 2 (204 enodes) 180.705 * * [simplify]: iters left: 1 (341 enodes) 180.967 * * [simplify]: Extracting #0: cost 1 inf + 0 180.968 * * [simplify]: Extracting #1: cost 25 inf + 0 180.968 * * [simplify]: Extracting #2: cost 44 inf + 44 180.969 * * [simplify]: Extracting #3: cost 43 inf + 148 180.970 * * [simplify]: Extracting #4: cost 23 inf + 3204 180.975 * * [simplify]: Extracting #5: cost 3 inf + 7409 180.981 * * [simplify]: Extracting #6: cost 0 inf + 8136 180.989 * [simplify]: Simplified to (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) 180.989 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 180.989 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) a1)) 180.989 * * [simplify]: iters left: 6 (7 enodes) 180.994 * * [simplify]: iters left: 5 (25 enodes) 181.002 * * [simplify]: iters left: 4 (32 enodes) 181.012 * * [simplify]: iters left: 3 (34 enodes) 181.023 * * [simplify]: Extracting #0: cost 1 inf + 0 181.023 * * [simplify]: Extracting #1: cost 7 inf + 0 181.023 * * [simplify]: Extracting #2: cost 9 inf + 2 181.023 * * [simplify]: Extracting #3: cost 11 inf + 2 181.023 * * [simplify]: Extracting #4: cost 10 inf + 3 181.023 * * [simplify]: Extracting #5: cost 4 inf + 651 181.024 * * [simplify]: Extracting #6: cost 1 inf + 1137 181.024 * * [simplify]: Extracting #7: cost 0 inf + 1299 181.025 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 181.025 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ a1 (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 181.025 * * * * [progress]: [ 491 / 614 ] simplifiying candidate # 181.025 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 181.025 * * [simplify]: iters left: 6 (15 enodes) 181.033 * * [simplify]: iters left: 5 (63 enodes) 181.056 * * [simplify]: iters left: 4 (158 enodes) 181.103 * * [simplify]: Extracting #0: cost 1 inf + 0 181.103 * * [simplify]: Extracting #1: cost 92 inf + 0 181.104 * * [simplify]: Extracting #2: cost 201 inf + 203 181.106 * * [simplify]: Extracting #3: cost 197 inf + 1942 181.109 * * [simplify]: Extracting #4: cost 148 inf + 16377 181.119 * * [simplify]: Extracting #5: cost 12 inf + 73485 181.130 * * [simplify]: Extracting #6: cost 0 inf + 76912 181.142 * * [simplify]: Extracting #7: cost 0 inf + 76752 181.158 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) 181.158 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 181.158 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 181.159 * * [simplify]: iters left: 6 (9 enodes) 181.163 * * [simplify]: iters left: 5 (31 enodes) 181.173 * * [simplify]: iters left: 4 (38 enodes) 181.185 * * [simplify]: iters left: 3 (40 enodes) 181.198 * * [simplify]: iters left: 2 (52 enodes) 181.216 * * [simplify]: Extracting #0: cost 1 inf + 0 181.216 * * [simplify]: Extracting #1: cost 7 inf + 0 181.216 * * [simplify]: Extracting #2: cost 12 inf + 1 181.216 * * [simplify]: Extracting #3: cost 13 inf + 2 181.217 * * [simplify]: Extracting #4: cost 13 inf + 164 181.217 * * [simplify]: Extracting #5: cost 12 inf + 165 181.217 * * [simplify]: Extracting #6: cost 9 inf + 368 181.217 * * [simplify]: Extracting #7: cost 3 inf + 1898 181.218 * * [simplify]: Extracting #8: cost 0 inf + 2663 181.219 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) 181.219 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt 2)))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 181.219 * * * * [progress]: [ 492 / 614 ] simplifiying candidate # 181.219 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 181.220 * * [simplify]: iters left: 6 (14 enodes) 181.226 * * [simplify]: iters left: 5 (56 enodes) 181.246 * * [simplify]: iters left: 4 (125 enodes) 181.302 * * [simplify]: iters left: 3 (384 enodes) 181.534 * * [simplify]: Extracting #0: cost 1 inf + 0 181.535 * * [simplify]: Extracting #1: cost 153 inf + 0 181.537 * * [simplify]: Extracting #2: cost 311 inf + 1 181.540 * * [simplify]: Extracting #3: cost 303 inf + 856 181.543 * * [simplify]: Extracting #4: cost 298 inf + 1303 181.550 * * [simplify]: Extracting #5: cost 236 inf + 21817 181.573 * * [simplify]: Extracting #6: cost 38 inf + 94168 181.597 * * [simplify]: Extracting #7: cost 0 inf + 109286 181.646 * * [simplify]: Extracting #8: cost 0 inf + 109246 181.688 * [simplify]: Simplified to (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)))) 181.688 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 181.689 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 181.689 * * [simplify]: iters left: 6 (9 enodes) 181.692 * * [simplify]: iters left: 5 (31 enodes) 181.697 * * [simplify]: iters left: 4 (38 enodes) 181.703 * * [simplify]: iters left: 3 (40 enodes) 181.710 * * [simplify]: iters left: 2 (52 enodes) 181.718 * * [simplify]: Extracting #0: cost 1 inf + 0 181.718 * * [simplify]: Extracting #1: cost 7 inf + 0 181.718 * * [simplify]: Extracting #2: cost 12 inf + 1 181.718 * * [simplify]: Extracting #3: cost 13 inf + 2 181.718 * * [simplify]: Extracting #4: cost 13 inf + 84 181.718 * * [simplify]: Extracting #5: cost 12 inf + 85 181.719 * * [simplify]: Extracting #6: cost 9 inf + 288 181.719 * * [simplify]: Extracting #7: cost 3 inf + 1698 181.719 * * [simplify]: Extracting #8: cost 0 inf + 2423 181.719 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) 181.719 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (sqrt a1)))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 181.720 * * * * [progress]: [ 493 / 614 ] simplifiying candidate # 181.720 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 181.720 * * [simplify]: iters left: 6 (14 enodes) 181.724 * * [simplify]: iters left: 5 (56 enodes) 181.734 * * [simplify]: iters left: 4 (123 enodes) 181.771 * * [simplify]: iters left: 3 (343 enodes) 182.000 * * [simplify]: Extracting #0: cost 1 inf + 0 182.001 * * [simplify]: Extracting #1: cost 92 inf + 0 182.002 * * [simplify]: Extracting #2: cost 188 inf + 2 182.004 * * [simplify]: Extracting #3: cost 187 inf + 371 182.007 * * [simplify]: Extracting #4: cost 147 inf + 10611 182.025 * * [simplify]: Extracting #5: cost 23 inf + 50953 182.053 * * [simplify]: Extracting #6: cost 0 inf + 58544 182.077 * * [simplify]: Extracting #7: cost 0 inf + 58504 182.101 * [simplify]: Simplified to (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1) 182.102 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1) (/ 1 (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.102 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) a1)) 182.102 * * [simplify]: iters left: 6 (8 enodes) 182.107 * * [simplify]: iters left: 5 (28 enodes) 182.113 * * [simplify]: iters left: 4 (35 enodes) 182.118 * * [simplify]: iters left: 3 (37 enodes) 182.123 * * [simplify]: Extracting #0: cost 1 inf + 0 182.123 * * [simplify]: Extracting #1: cost 7 inf + 0 182.123 * * [simplify]: Extracting #2: cost 9 inf + 2 182.124 * * [simplify]: Extracting #3: cost 11 inf + 2 182.124 * * [simplify]: Extracting #4: cost 13 inf + 2 182.124 * * [simplify]: Extracting #5: cost 12 inf + 3 182.124 * * [simplify]: Extracting #6: cost 9 inf + 206 182.124 * * [simplify]: Extracting #7: cost 0 inf + 2181 182.124 * [simplify]: Simplified to (/ a1 (cbrt (cbrt (sqrt 2)))) 182.124 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1) (/ a1 (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.124 * * * * [progress]: [ 494 / 614 ] simplifiying candidate # 182.125 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) 182.125 * * [simplify]: iters left: 6 (14 enodes) 182.128 * * [simplify]: iters left: 5 (56 enodes) 182.139 * * [simplify]: iters left: 4 (121 enodes) 182.191 * * [simplify]: iters left: 3 (341 enodes) 182.363 * * [simplify]: Extracting #0: cost 1 inf + 0 182.363 * * [simplify]: Extracting #1: cost 126 inf + 0 182.365 * * [simplify]: Extracting #2: cost 275 inf + 1 182.367 * * [simplify]: Extracting #3: cost 269 inf + 873 182.370 * * [simplify]: Extracting #4: cost 188 inf + 25148 182.388 * * [simplify]: Extracting #5: cost 25 inf + 84949 182.417 * * [simplify]: Extracting #6: cost 0 inf + 94231 182.455 * * [simplify]: Extracting #7: cost 0 inf + 93991 182.492 * * [simplify]: Extracting #8: cost 0 inf + 93951 182.517 * [simplify]: Simplified to (* (/ (* a1 (cos th)) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) 182.517 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* a1 (cos th)) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ 1 (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.517 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) 182.517 * * [simplify]: iters left: 6 (9 enodes) 182.520 * * [simplify]: iters left: 5 (31 enodes) 182.526 * * [simplify]: iters left: 4 (38 enodes) 182.535 * * [simplify]: iters left: 3 (40 enodes) 182.547 * * [simplify]: iters left: 2 (52 enodes) 182.556 * * [simplify]: Extracting #0: cost 1 inf + 0 182.556 * * [simplify]: Extracting #1: cost 7 inf + 0 182.556 * * [simplify]: Extracting #2: cost 12 inf + 1 182.556 * * [simplify]: Extracting #3: cost 13 inf + 2 182.556 * * [simplify]: Extracting #4: cost 13 inf + 164 182.557 * * [simplify]: Extracting #5: cost 12 inf + 165 182.557 * * [simplify]: Extracting #6: cost 9 inf + 368 182.557 * * [simplify]: Extracting #7: cost 3 inf + 1698 182.557 * * [simplify]: Extracting #8: cost 0 inf + 2343 182.558 * [simplify]: Simplified to (/ (cbrt a1) (sqrt (cbrt (sqrt 2)))) 182.558 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* a1 (cos th)) (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt a1) (cbrt (sqrt 2))) (/ (cbrt a1) (cbrt (sqrt 2))))) (/ (cbrt a1) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.558 * * * * [progress]: [ 495 / 614 ] simplifiying candidate # 182.558 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 182.558 * * [simplify]: iters left: 6 (13 enodes) 182.562 * * [simplify]: iters left: 5 (51 enodes) 182.571 * * [simplify]: iters left: 4 (108 enodes) 182.610 * * [simplify]: iters left: 3 (275 enodes) 182.718 * * [simplify]: Extracting #0: cost 1 inf + 0 182.719 * * [simplify]: Extracting #1: cost 89 inf + 0 182.719 * * [simplify]: Extracting #2: cost 168 inf + 123 182.720 * * [simplify]: Extracting #3: cost 163 inf + 754 182.722 * * [simplify]: Extracting #4: cost 152 inf + 2652 182.726 * * [simplify]: Extracting #5: cost 59 inf + 29627 182.736 * * [simplify]: Extracting #6: cost 0 inf + 49032 182.747 * [simplify]: Simplified to (* (/ (* a1 (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 182.748 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* a1 (cos th)) (sqrt (cbrt (sqrt 2)))) (/ (sqrt a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ 1 (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.748 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) 182.748 * * [simplify]: iters left: 6 (9 enodes) 182.753 * * [simplify]: iters left: 5 (31 enodes) 182.763 * * [simplify]: iters left: 4 (38 enodes) 182.775 * * [simplify]: iters left: 3 (40 enodes) 182.787 * * [simplify]: iters left: 2 (52 enodes) 182.798 * * [simplify]: Extracting #0: cost 1 inf + 0 182.798 * * [simplify]: Extracting #1: cost 7 inf + 0 182.798 * * [simplify]: Extracting #2: cost 12 inf + 1 182.798 * * [simplify]: Extracting #3: cost 13 inf + 2 182.798 * * [simplify]: Extracting #4: cost 13 inf + 84 182.798 * * [simplify]: Extracting #5: cost 12 inf + 85 182.798 * * [simplify]: Extracting #6: cost 9 inf + 288 182.799 * * [simplify]: Extracting #7: cost 3 inf + 1498 182.799 * * [simplify]: Extracting #8: cost 0 inf + 2103 182.799 * [simplify]: Simplified to (/ (sqrt a1) (sqrt (cbrt (sqrt 2)))) 182.799 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt a1) (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 182.799 * * * * [progress]: [ 496 / 614 ] simplifiying candidate # 182.800 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cbrt (sqrt 2))) 1)) 182.800 * * [simplify]: iters left: 6 (13 enodes) 182.804 * * [simplify]: iters left: 5 (51 enodes) 182.813 * * [simplify]: iters left: 4 (98 enodes) 182.842 * * [simplify]: iters left: 3 (210 enodes) 182.923 * * [simplify]: iters left: 2 (397 enodes) 183.122 * * [simplify]: Extracting #0: cost 1 inf + 0 183.123 * * [simplify]: Extracting #1: cost 67 inf + 0 183.123 * * [simplify]: Extracting #2: cost 118 inf + 2 183.124 * * [simplify]: Extracting #3: cost 116 inf + 227 183.125 * * [simplify]: Extracting #4: cost 110 inf + 956 183.127 * * [simplify]: Extracting #5: cost 56 inf + 14213 183.134 * * [simplify]: Extracting #6: cost 0 inf + 30099 183.141 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) 183.141 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ 1 (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.141 * [simplify]: Simplifying (/ 1 (/ (sqrt (cbrt (sqrt 2))) a1)) 183.141 * * [simplify]: iters left: 6 (8 enodes) 183.144 * * [simplify]: iters left: 5 (28 enodes) 183.149 * * [simplify]: iters left: 4 (35 enodes) 183.155 * * [simplify]: iters left: 3 (37 enodes) 183.160 * * [simplify]: Extracting #0: cost 1 inf + 0 183.160 * * [simplify]: Extracting #1: cost 7 inf + 0 183.160 * * [simplify]: Extracting #2: cost 9 inf + 2 183.160 * * [simplify]: Extracting #3: cost 11 inf + 2 183.160 * * [simplify]: Extracting #4: cost 13 inf + 2 183.160 * * [simplify]: Extracting #5: cost 12 inf + 3 183.160 * * [simplify]: Extracting #6: cost 9 inf + 206 183.161 * * [simplify]: Extracting #7: cost 0 inf + 1861 183.161 * [simplify]: Simplified to (/ a1 (sqrt (cbrt (sqrt 2)))) 183.161 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) (/ a1 (sqrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.161 * * * * [progress]: [ 497 / 614 ] simplifiying candidate # 183.161 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 183.161 * * [simplify]: iters left: 6 (14 enodes) 183.165 * * [simplify]: iters left: 5 (58 enodes) 183.181 * * [simplify]: iters left: 4 (121 enodes) 183.214 * * [simplify]: iters left: 3 (307 enodes) 183.353 * * [simplify]: Extracting #0: cost 1 inf + 0 183.354 * * [simplify]: Extracting #1: cost 103 inf + 0 183.354 * * [simplify]: Extracting #2: cost 212 inf + 2 183.356 * * [simplify]: Extracting #3: cost 193 inf + 2718 183.359 * * [simplify]: Extracting #4: cost 95 inf + 27953 183.371 * * [simplify]: Extracting #5: cost 6 inf + 58054 183.384 * * [simplify]: Extracting #6: cost 0 inf + 59868 183.405 * [simplify]: Simplified to (* (/ a1 (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (cos th)) 183.405 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ a1 (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (cos th)) (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.405 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (cbrt a1))) 183.405 * * [simplify]: iters left: 6 (8 enodes) 183.408 * * [simplify]: iters left: 5 (28 enodes) 183.415 * * [simplify]: iters left: 4 (35 enodes) 183.420 * * [simplify]: iters left: 3 (37 enodes) 183.427 * * [simplify]: iters left: 2 (49 enodes) 183.434 * * [simplify]: Extracting #0: cost 1 inf + 0 183.434 * * [simplify]: Extracting #1: cost 7 inf + 0 183.434 * * [simplify]: Extracting #2: cost 12 inf + 1 183.434 * * [simplify]: Extracting #3: cost 12 inf + 83 183.434 * * [simplify]: Extracting #4: cost 10 inf + 165 183.435 * * [simplify]: Extracting #5: cost 5 inf + 852 183.435 * * [simplify]: Extracting #6: cost 0 inf + 1781 183.435 * [simplify]: Simplified to (/ (cbrt a1) (cbrt (sqrt 2))) 183.435 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ a1 (* (/ (cbrt (sqrt 2)) (cbrt a1)) (/ (cbrt (sqrt 2)) (cbrt a1)))) (cos th)) (/ (cbrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.435 * * * * [progress]: [ 498 / 614 ] simplifiying candidate # 183.435 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (sqrt a1))) 183.436 * * [simplify]: iters left: 6 (13 enodes) 183.439 * * [simplify]: iters left: 5 (53 enodes) 183.448 * * [simplify]: iters left: 4 (108 enodes) 183.469 * * [simplify]: iters left: 3 (236 enodes) 183.541 * * [simplify]: Extracting #0: cost 1 inf + 0 183.541 * * [simplify]: Extracting #1: cost 71 inf + 0 183.542 * * [simplify]: Extracting #2: cost 111 inf + 124 183.542 * * [simplify]: Extracting #3: cost 92 inf + 2102 183.544 * * [simplify]: Extracting #4: cost 72 inf + 5703 183.547 * * [simplify]: Extracting #5: cost 15 inf + 21249 183.553 * * [simplify]: Extracting #6: cost 0 inf + 25651 183.558 * [simplify]: Simplified to (* (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) (cos th)) 183.558 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) (cos th)) (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.559 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) (sqrt a1))) 183.559 * * [simplify]: iters left: 6 (8 enodes) 183.561 * * [simplify]: iters left: 5 (28 enodes) 183.566 * * [simplify]: iters left: 4 (35 enodes) 183.576 * * [simplify]: iters left: 3 (37 enodes) 183.588 * * [simplify]: iters left: 2 (49 enodes) 183.603 * * [simplify]: Extracting #0: cost 1 inf + 0 183.603 * * [simplify]: Extracting #1: cost 7 inf + 0 183.603 * * [simplify]: Extracting #2: cost 12 inf + 1 183.603 * * [simplify]: Extracting #3: cost 12 inf + 43 183.603 * * [simplify]: Extracting #4: cost 10 inf + 85 183.604 * * [simplify]: Extracting #5: cost 5 inf + 692 183.604 * * [simplify]: Extracting #6: cost 0 inf + 1541 183.605 * [simplify]: Simplified to (/ (sqrt a1) (cbrt (sqrt 2))) 183.605 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt a1))) (cos th)) (/ (sqrt a1) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.605 * * * * [progress]: [ 499 / 614 ] simplifiying candidate # 183.605 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 1)) 183.605 * * [simplify]: iters left: 6 (12 enodes) 183.612 * * [simplify]: iters left: 5 (46 enodes) 183.627 * * [simplify]: iters left: 4 (80 enodes) 183.641 * * [simplify]: iters left: 3 (123 enodes) 183.679 * * [simplify]: iters left: 2 (174 enodes) 183.724 * * [simplify]: iters left: 1 (192 enodes) 183.751 * * [simplify]: Extracting #0: cost 1 inf + 0 183.751 * * [simplify]: Extracting #1: cost 19 inf + 0 183.751 * * [simplify]: Extracting #2: cost 34 inf + 2 183.751 * * [simplify]: Extracting #3: cost 32 inf + 148 183.751 * * [simplify]: Extracting #4: cost 26 inf + 557 183.752 * * [simplify]: Extracting #5: cost 7 inf + 4052 183.753 * * [simplify]: Extracting #6: cost 0 inf + 5788 183.754 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) 183.755 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.755 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) a1)) 183.755 * * [simplify]: iters left: 6 (7 enodes) 183.757 * * [simplify]: iters left: 5 (25 enodes) 183.762 * * [simplify]: iters left: 4 (32 enodes) 183.767 * * [simplify]: iters left: 3 (34 enodes) 183.772 * * [simplify]: Extracting #0: cost 1 inf + 0 183.772 * * [simplify]: Extracting #1: cost 7 inf + 0 183.772 * * [simplify]: Extracting #2: cost 9 inf + 2 183.772 * * [simplify]: Extracting #3: cost 11 inf + 2 183.772 * * [simplify]: Extracting #4: cost 10 inf + 3 183.772 * * [simplify]: Extracting #5: cost 4 inf + 651 183.772 * * [simplify]: Extracting #6: cost 1 inf + 1137 183.773 * * [simplify]: Extracting #7: cost 0 inf + 1299 183.773 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 183.773 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.773 * * * * [progress]: [ 500 / 614 ] simplifiying candidate # 183.773 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 183.773 * * [simplify]: iters left: 6 (11 enodes) 183.776 * * [simplify]: iters left: 5 (43 enodes) 183.784 * * [simplify]: iters left: 4 (84 enodes) 183.803 * * [simplify]: iters left: 3 (130 enodes) 183.831 * * [simplify]: iters left: 2 (179 enodes) 183.881 * * [simplify]: iters left: 1 (189 enodes) 183.898 * * [simplify]: Extracting #0: cost 1 inf + 0 183.898 * * [simplify]: Extracting #1: cost 19 inf + 0 183.898 * * [simplify]: Extracting #2: cost 34 inf + 2 183.899 * * [simplify]: Extracting #3: cost 33 inf + 106 183.899 * * [simplify]: Extracting #4: cost 25 inf + 659 183.900 * * [simplify]: Extracting #5: cost 5 inf + 4577 183.901 * * [simplify]: Extracting #6: cost 1 inf + 5526 183.903 * * [simplify]: Extracting #7: cost 0 inf + 5788 183.906 * [simplify]: Simplified to (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) 183.906 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) (/ 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.906 * [simplify]: Simplifying (/ 1 (/ (cbrt (sqrt 2)) a1)) 183.906 * * [simplify]: iters left: 6 (7 enodes) 183.913 * * [simplify]: iters left: 5 (25 enodes) 183.921 * * [simplify]: iters left: 4 (32 enodes) 183.930 * * [simplify]: iters left: 3 (34 enodes) 183.936 * * [simplify]: Extracting #0: cost 1 inf + 0 183.936 * * [simplify]: Extracting #1: cost 7 inf + 0 183.936 * * [simplify]: Extracting #2: cost 9 inf + 2 183.936 * * [simplify]: Extracting #3: cost 11 inf + 2 183.936 * * [simplify]: Extracting #4: cost 10 inf + 3 183.936 * * [simplify]: Extracting #5: cost 4 inf + 651 183.937 * * [simplify]: Extracting #6: cost 1 inf + 1137 183.937 * * [simplify]: Extracting #7: cost 0 inf + 1299 183.937 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 183.937 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) (/ a1 (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 183.937 * * * * [progress]: [ 501 / 614 ] simplifiying candidate # 183.937 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 183.937 * * [simplify]: iters left: 6 (10 enodes) 183.940 * * [simplify]: iters left: 5 (40 enodes) 183.947 * * [simplify]: iters left: 4 (78 enodes) 183.960 * * [simplify]: iters left: 3 (128 enodes) 183.991 * * [simplify]: iters left: 2 (175 enodes) 184.027 * * [simplify]: iters left: 1 (247 enodes) 184.092 * * [simplify]: Extracting #0: cost 1 inf + 0 184.092 * * [simplify]: Extracting #1: cost 48 inf + 0 184.093 * * [simplify]: Extracting #2: cost 113 inf + 1 184.093 * * [simplify]: Extracting #3: cost 104 inf + 333 184.094 * * [simplify]: Extracting #4: cost 93 inf + 2122 184.096 * * [simplify]: Extracting #5: cost 47 inf + 17161 184.100 * * [simplify]: Extracting #6: cost 2 inf + 41673 184.107 * * [simplify]: Extracting #7: cost 0 inf + 42670 184.117 * [simplify]: Simplified to (/ (* a1 (cos th)) (sqrt 2)) 184.117 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (sqrt 2)) (/ 1 (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.117 * [simplify]: Simplifying (/ 1 (/ 1 a1)) 184.118 * * [simplify]: iters left: 4 (4 enodes) 184.120 * * [simplify]: iters left: 3 (12 enodes) 184.124 * * [simplify]: iters left: 2 (14 enodes) 184.128 * * [simplify]: Extracting #0: cost 1 inf + 0 184.128 * * [simplify]: Extracting #1: cost 0 inf + 1 184.128 * [simplify]: Simplified to a1 184.128 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.128 * * * * [progress]: [ 502 / 614 ] simplifiying candidate # 184.128 * * * * [progress]: [ 503 / 614 ] simplifiying candidate # 184.128 * * * * [progress]: [ 504 / 614 ] simplifiying candidate # 184.128 * * * * [progress]: [ 505 / 614 ] simplifiying candidate # 184.129 * [simplify]: Simplifying (cbrt (/ (cbrt (sqrt 2)) a1)) 184.129 * * [simplify]: iters left: 5 (6 enodes) 184.132 * * [simplify]: iters left: 4 (18 enodes) 184.137 * * [simplify]: Extracting #0: cost 1 inf + 0 184.137 * * [simplify]: Extracting #1: cost 3 inf + 0 184.137 * * [simplify]: Extracting #2: cost 6 inf + 0 184.137 * * [simplify]: Extracting #3: cost 7 inf + 1 184.138 * * [simplify]: Extracting #4: cost 9 inf + 1 184.138 * * [simplify]: Extracting #5: cost 8 inf + 2 184.138 * * [simplify]: Extracting #6: cost 0 inf + 1134 184.138 * [simplify]: Simplified to (cbrt (/ (cbrt (sqrt 2)) a1)) 184.138 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (/ (cbrt (sqrt 2)) a1)) (cbrt (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.138 * * * * [progress]: [ 506 / 614 ] simplifiying candidate # 184.139 * [simplify]: Simplifying (sqrt (/ (cbrt (sqrt 2)) a1)) 184.139 * * [simplify]: iters left: 5 (6 enodes) 184.142 * * [simplify]: iters left: 4 (18 enodes) 184.147 * * [simplify]: Extracting #0: cost 1 inf + 0 184.147 * * [simplify]: Extracting #1: cost 3 inf + 0 184.148 * * [simplify]: Extracting #2: cost 6 inf + 0 184.148 * * [simplify]: Extracting #3: cost 7 inf + 1 184.148 * * [simplify]: Extracting #4: cost 9 inf + 1 184.148 * * [simplify]: Extracting #5: cost 8 inf + 2 184.148 * * [simplify]: Extracting #6: cost 0 inf + 1054 184.148 * [simplify]: Simplified to (sqrt (/ (cbrt (sqrt 2)) a1)) 184.148 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (sqrt 2)) a1))) (sqrt (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.148 * * * * [progress]: [ 507 / 614 ] simplifiying candidate # 184.149 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 184.149 * * [simplify]: iters left: 5 (7 enodes) 184.152 * * [simplify]: iters left: 4 (21 enodes) 184.158 * * [simplify]: Extracting #0: cost 1 inf + 0 184.158 * * [simplify]: Extracting #1: cost 4 inf + 0 184.158 * * [simplify]: Extracting #2: cost 8 inf + 0 184.159 * * [simplify]: Extracting #3: cost 7 inf + 163 184.159 * * [simplify]: Extracting #4: cost 9 inf + 163 184.159 * * [simplify]: Extracting #5: cost 8 inf + 164 184.159 * * [simplify]: Extracting #6: cost 6 inf + 246 184.159 * * [simplify]: Extracting #7: cost 1 inf + 1212 184.159 * * [simplify]: Extracting #8: cost 0 inf + 1534 184.160 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 184.160 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.160 * * * * [progress]: [ 508 / 614 ] simplifiying candidate # 184.160 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 184.160 * * [simplify]: iters left: 5 (7 enodes) 184.164 * * [simplify]: iters left: 4 (21 enodes) 184.170 * * [simplify]: Extracting #0: cost 1 inf + 0 184.171 * * [simplify]: Extracting #1: cost 4 inf + 0 184.171 * * [simplify]: Extracting #2: cost 8 inf + 0 184.171 * * [simplify]: Extracting #3: cost 7 inf + 83 184.171 * * [simplify]: Extracting #4: cost 9 inf + 83 184.171 * * [simplify]: Extracting #5: cost 8 inf + 84 184.171 * * [simplify]: Extracting #6: cost 6 inf + 166 184.171 * * [simplify]: Extracting #7: cost 1 inf + 1092 184.172 * * [simplify]: Extracting #8: cost 0 inf + 1374 184.172 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 184.172 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.172 * * * * [progress]: [ 509 / 614 ] simplifiying candidate # 184.172 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) a1) 184.173 * * [simplify]: iters left: 5 (6 enodes) 184.176 * * [simplify]: iters left: 4 (18 enodes) 184.181 * * [simplify]: Extracting #0: cost 1 inf + 0 184.181 * * [simplify]: Extracting #1: cost 4 inf + 0 184.181 * * [simplify]: Extracting #2: cost 5 inf + 1 184.181 * * [simplify]: Extracting #3: cost 7 inf + 1 184.181 * * [simplify]: Extracting #4: cost 9 inf + 1 184.181 * * [simplify]: Extracting #5: cost 8 inf + 2 184.181 * * [simplify]: Extracting #6: cost 0 inf + 1212 184.182 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) a1) 184.182 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.182 * * * * [progress]: [ 510 / 614 ] simplifiying candidate # 184.182 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)) 184.182 * * [simplify]: iters left: 5 (7 enodes) 184.184 * * [simplify]: iters left: 4 (21 enodes) 184.187 * * [simplify]: Extracting #0: cost 1 inf + 0 184.187 * * [simplify]: Extracting #1: cost 4 inf + 0 184.187 * * [simplify]: Extracting #2: cost 8 inf + 0 184.187 * * [simplify]: Extracting #3: cost 7 inf + 163 184.187 * * [simplify]: Extracting #4: cost 9 inf + 163 184.187 * * [simplify]: Extracting #5: cost 8 inf + 164 184.188 * * [simplify]: Extracting #6: cost 6 inf + 326 184.188 * * [simplify]: Extracting #7: cost 1 inf + 1292 184.188 * * [simplify]: Extracting #8: cost 0 inf + 1614 184.188 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)) 184.188 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.188 * * * * [progress]: [ 511 / 614 ] simplifiying candidate # 184.188 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)) 184.188 * * [simplify]: iters left: 5 (7 enodes) 184.190 * * [simplify]: iters left: 4 (21 enodes) 184.193 * * [simplify]: Extracting #0: cost 1 inf + 0 184.194 * * [simplify]: Extracting #1: cost 4 inf + 0 184.194 * * [simplify]: Extracting #2: cost 8 inf + 0 184.194 * * [simplify]: Extracting #3: cost 7 inf + 83 184.194 * * [simplify]: Extracting #4: cost 9 inf + 83 184.194 * * [simplify]: Extracting #5: cost 8 inf + 84 184.194 * * [simplify]: Extracting #6: cost 6 inf + 246 184.194 * * [simplify]: Extracting #7: cost 1 inf + 1172 184.194 * * [simplify]: Extracting #8: cost 0 inf + 1454 184.194 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)) 184.194 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1))) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.194 * * * * [progress]: [ 512 / 614 ] simplifiying candidate # 184.195 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) a1) 184.195 * * [simplify]: iters left: 5 (6 enodes) 184.196 * * [simplify]: iters left: 4 (18 enodes) 184.199 * * [simplify]: Extracting #0: cost 1 inf + 0 184.199 * * [simplify]: Extracting #1: cost 4 inf + 0 184.199 * * [simplify]: Extracting #2: cost 5 inf + 1 184.199 * * [simplify]: Extracting #3: cost 7 inf + 1 184.199 * * [simplify]: Extracting #4: cost 9 inf + 1 184.199 * * [simplify]: Extracting #5: cost 8 inf + 2 184.199 * * [simplify]: Extracting #6: cost 0 inf + 1292 184.200 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) a1) 184.200 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1)) (/ (cbrt (sqrt (cbrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.200 * * * * [progress]: [ 513 / 614 ] simplifiying candidate # 184.200 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 184.200 * * [simplify]: iters left: 5 (7 enodes) 184.202 * * [simplify]: iters left: 4 (21 enodes) 184.207 * * [simplify]: Extracting #0: cost 1 inf + 0 184.207 * * [simplify]: Extracting #1: cost 4 inf + 0 184.207 * * [simplify]: Extracting #2: cost 8 inf + 0 184.207 * * [simplify]: Extracting #3: cost 7 inf + 163 184.207 * * [simplify]: Extracting #4: cost 9 inf + 163 184.207 * * [simplify]: Extracting #5: cost 8 inf + 164 184.207 * * [simplify]: Extracting #6: cost 6 inf + 246 184.207 * * [simplify]: Extracting #7: cost 1 inf + 1012 184.208 * * [simplify]: Extracting #8: cost 0 inf + 1294 184.208 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 184.208 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.208 * * * * [progress]: [ 514 / 614 ] simplifiying candidate # 184.208 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 184.208 * * [simplify]: iters left: 5 (7 enodes) 184.210 * * [simplify]: iters left: 4 (21 enodes) 184.214 * * [simplify]: Extracting #0: cost 1 inf + 0 184.214 * * [simplify]: Extracting #1: cost 4 inf + 0 184.214 * * [simplify]: Extracting #2: cost 8 inf + 0 184.214 * * [simplify]: Extracting #3: cost 7 inf + 83 184.214 * * [simplify]: Extracting #4: cost 9 inf + 83 184.214 * * [simplify]: Extracting #5: cost 8 inf + 84 184.214 * * [simplify]: Extracting #6: cost 6 inf + 166 184.214 * * [simplify]: Extracting #7: cost 1 inf + 892 184.215 * * [simplify]: Extracting #8: cost 0 inf + 1134 184.215 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 184.215 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.215 * * * * [progress]: [ 515 / 614 ] simplifiying candidate # 184.216 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) a1) 184.216 * * [simplify]: iters left: 5 (6 enodes) 184.219 * * [simplify]: iters left: 4 (18 enodes) 184.225 * * [simplify]: Extracting #0: cost 1 inf + 0 184.225 * * [simplify]: Extracting #1: cost 4 inf + 0 184.225 * * [simplify]: Extracting #2: cost 5 inf + 1 184.225 * * [simplify]: Extracting #3: cost 7 inf + 1 184.225 * * [simplify]: Extracting #4: cost 9 inf + 1 184.225 * * [simplify]: Extracting #5: cost 8 inf + 2 184.226 * * [simplify]: Extracting #6: cost 0 inf + 972 184.226 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) a1) 184.226 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.226 * * * * [progress]: [ 516 / 614 ] simplifiying candidate # 184.226 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 184.227 * * [simplify]: iters left: 4 (6 enodes) 184.230 * * [simplify]: iters left: 3 (18 enodes) 184.235 * * [simplify]: Extracting #0: cost 1 inf + 0 184.235 * * [simplify]: Extracting #1: cost 4 inf + 0 184.235 * * [simplify]: Extracting #2: cost 8 inf + 0 184.235 * * [simplify]: Extracting #3: cost 7 inf + 163 184.235 * * [simplify]: Extracting #4: cost 6 inf + 164 184.236 * * [simplify]: Extracting #5: cost 0 inf + 972 184.236 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 184.236 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.236 * * * * [progress]: [ 517 / 614 ] simplifiying candidate # 184.237 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 184.237 * * [simplify]: iters left: 4 (6 enodes) 184.240 * * [simplify]: iters left: 3 (18 enodes) 184.245 * * [simplify]: Extracting #0: cost 1 inf + 0 184.245 * * [simplify]: Extracting #1: cost 4 inf + 0 184.245 * * [simplify]: Extracting #2: cost 8 inf + 0 184.245 * * [simplify]: Extracting #3: cost 7 inf + 83 184.246 * * [simplify]: Extracting #4: cost 6 inf + 84 184.246 * * [simplify]: Extracting #5: cost 0 inf + 812 184.246 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 184.246 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 1)) (sqrt a1))) (/ (cbrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.246 * * * * [progress]: [ 518 / 614 ] simplifiying candidate # 184.247 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 184.247 * * [simplify]: iters left: 4 (5 enodes) 184.249 * * [simplify]: iters left: 3 (15 enodes) 184.254 * * [simplify]: Extracting #0: cost 1 inf + 0 184.254 * * [simplify]: Extracting #1: cost 4 inf + 0 184.254 * * [simplify]: Extracting #2: cost 5 inf + 1 184.254 * * [simplify]: Extracting #3: cost 7 inf + 1 184.254 * * [simplify]: Extracting #4: cost 6 inf + 2 184.255 * * [simplify]: Extracting #5: cost 0 inf + 650 184.255 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 184.255 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 1)) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.255 * * * * [progress]: [ 519 / 614 ] simplifiying candidate # 184.255 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 184.256 * * [simplify]: iters left: 5 (7 enodes) 184.258 * * [simplify]: iters left: 4 (21 enodes) 184.262 * * [simplify]: Extracting #0: cost 1 inf + 0 184.262 * * [simplify]: Extracting #1: cost 4 inf + 0 184.262 * * [simplify]: Extracting #2: cost 8 inf + 0 184.262 * * [simplify]: Extracting #3: cost 7 inf + 163 184.262 * * [simplify]: Extracting #4: cost 9 inf + 163 184.262 * * [simplify]: Extracting #5: cost 8 inf + 164 184.262 * * [simplify]: Extracting #6: cost 6 inf + 246 184.262 * * [simplify]: Extracting #7: cost 1 inf + 1012 184.262 * * [simplify]: Extracting #8: cost 0 inf + 1294 184.262 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 184.262 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.263 * * * * [progress]: [ 520 / 614 ] simplifiying candidate # 184.263 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 184.263 * * [simplify]: iters left: 5 (7 enodes) 184.265 * * [simplify]: iters left: 4 (21 enodes) 184.268 * * [simplify]: Extracting #0: cost 1 inf + 0 184.268 * * [simplify]: Extracting #1: cost 4 inf + 0 184.268 * * [simplify]: Extracting #2: cost 8 inf + 0 184.268 * * [simplify]: Extracting #3: cost 7 inf + 83 184.268 * * [simplify]: Extracting #4: cost 9 inf + 83 184.268 * * [simplify]: Extracting #5: cost 8 inf + 84 184.268 * * [simplify]: Extracting #6: cost 6 inf + 166 184.268 * * [simplify]: Extracting #7: cost 1 inf + 892 184.268 * * [simplify]: Extracting #8: cost 0 inf + 1134 184.269 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 184.269 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.269 * * * * [progress]: [ 521 / 614 ] simplifiying candidate # 184.269 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) a1) 184.269 * * [simplify]: iters left: 5 (6 enodes) 184.271 * * [simplify]: iters left: 4 (18 enodes) 184.273 * * [simplify]: Extracting #0: cost 1 inf + 0 184.273 * * [simplify]: Extracting #1: cost 4 inf + 0 184.273 * * [simplify]: Extracting #2: cost 5 inf + 1 184.273 * * [simplify]: Extracting #3: cost 7 inf + 1 184.274 * * [simplify]: Extracting #4: cost 9 inf + 1 184.274 * * [simplify]: Extracting #5: cost 8 inf + 2 184.274 * * [simplify]: Extracting #6: cost 0 inf + 972 184.274 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) a1) 184.274 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.274 * * * * [progress]: [ 522 / 614 ] simplifiying candidate # 184.274 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 184.274 * * [simplify]: iters left: 4 (6 enodes) 184.276 * * [simplify]: iters left: 3 (18 enodes) 184.279 * * [simplify]: Extracting #0: cost 1 inf + 0 184.279 * * [simplify]: Extracting #1: cost 4 inf + 0 184.279 * * [simplify]: Extracting #2: cost 8 inf + 0 184.279 * * [simplify]: Extracting #3: cost 7 inf + 163 184.279 * * [simplify]: Extracting #4: cost 6 inf + 164 184.279 * * [simplify]: Extracting #5: cost 0 inf + 972 184.279 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 184.279 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.279 * * * * [progress]: [ 523 / 614 ] simplifiying candidate # 184.279 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 184.279 * * [simplify]: iters left: 4 (6 enodes) 184.281 * * [simplify]: iters left: 3 (18 enodes) 184.283 * * [simplify]: Extracting #0: cost 1 inf + 0 184.284 * * [simplify]: Extracting #1: cost 4 inf + 0 184.284 * * [simplify]: Extracting #2: cost 8 inf + 0 184.284 * * [simplify]: Extracting #3: cost 7 inf + 83 184.284 * * [simplify]: Extracting #4: cost 6 inf + 84 184.284 * * [simplify]: Extracting #5: cost 0 inf + 812 184.284 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 184.284 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (sqrt a1))) (/ (cbrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.284 * * * * [progress]: [ 524 / 614 ] simplifiying candidate # 184.284 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 184.284 * * [simplify]: iters left: 4 (5 enodes) 184.286 * * [simplify]: iters left: 3 (15 enodes) 184.288 * * [simplify]: Extracting #0: cost 1 inf + 0 184.288 * * [simplify]: Extracting #1: cost 4 inf + 0 184.288 * * [simplify]: Extracting #2: cost 5 inf + 1 184.288 * * [simplify]: Extracting #3: cost 7 inf + 1 184.288 * * [simplify]: Extracting #4: cost 6 inf + 2 184.288 * * [simplify]: Extracting #5: cost 0 inf + 650 184.288 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 184.288 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt 1) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.288 * * * * [progress]: [ 525 / 614 ] simplifiying candidate # 184.289 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 184.289 * * [simplify]: iters left: 5 (7 enodes) 184.291 * * [simplify]: iters left: 4 (21 enodes) 184.294 * * [simplify]: Extracting #0: cost 1 inf + 0 184.294 * * [simplify]: Extracting #1: cost 4 inf + 0 184.294 * * [simplify]: Extracting #2: cost 8 inf + 0 184.294 * * [simplify]: Extracting #3: cost 7 inf + 163 184.294 * * [simplify]: Extracting #4: cost 9 inf + 163 184.294 * * [simplify]: Extracting #5: cost 8 inf + 164 184.294 * * [simplify]: Extracting #6: cost 6 inf + 246 184.294 * * [simplify]: Extracting #7: cost 1 inf + 1212 184.294 * * [simplify]: Extracting #8: cost 0 inf + 1534 184.295 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 184.295 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.295 * * * * [progress]: [ 526 / 614 ] simplifiying candidate # 184.295 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 184.295 * * [simplify]: iters left: 5 (7 enodes) 184.297 * * [simplify]: iters left: 4 (21 enodes) 184.300 * * [simplify]: Extracting #0: cost 1 inf + 0 184.300 * * [simplify]: Extracting #1: cost 4 inf + 0 184.300 * * [simplify]: Extracting #2: cost 8 inf + 0 184.300 * * [simplify]: Extracting #3: cost 7 inf + 83 184.300 * * [simplify]: Extracting #4: cost 9 inf + 83 184.300 * * [simplify]: Extracting #5: cost 8 inf + 84 184.300 * * [simplify]: Extracting #6: cost 6 inf + 166 184.300 * * [simplify]: Extracting #7: cost 1 inf + 1092 184.301 * * [simplify]: Extracting #8: cost 0 inf + 1374 184.301 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 184.301 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.301 * * * * [progress]: [ 527 / 614 ] simplifiying candidate # 184.301 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) a1) 184.301 * * [simplify]: iters left: 5 (6 enodes) 184.303 * * [simplify]: iters left: 4 (18 enodes) 184.307 * * [simplify]: Extracting #0: cost 1 inf + 0 184.307 * * [simplify]: Extracting #1: cost 4 inf + 0 184.307 * * [simplify]: Extracting #2: cost 5 inf + 1 184.307 * * [simplify]: Extracting #3: cost 7 inf + 1 184.307 * * [simplify]: Extracting #4: cost 9 inf + 1 184.307 * * [simplify]: Extracting #5: cost 8 inf + 2 184.307 * * [simplify]: Extracting #6: cost 0 inf + 1212 184.307 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) a1) 184.307 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.308 * * * * [progress]: [ 528 / 614 ] simplifiying candidate # 184.308 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)) 184.308 * * [simplify]: iters left: 5 (7 enodes) 184.310 * * [simplify]: iters left: 4 (21 enodes) 184.314 * * [simplify]: Extracting #0: cost 1 inf + 0 184.314 * * [simplify]: Extracting #1: cost 4 inf + 0 184.314 * * [simplify]: Extracting #2: cost 8 inf + 0 184.314 * * [simplify]: Extracting #3: cost 7 inf + 163 184.314 * * [simplify]: Extracting #4: cost 9 inf + 163 184.314 * * [simplify]: Extracting #5: cost 8 inf + 164 184.314 * * [simplify]: Extracting #6: cost 6 inf + 246 184.314 * * [simplify]: Extracting #7: cost 1 inf + 1092 184.314 * * [simplify]: Extracting #8: cost 0 inf + 1374 184.315 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)) 184.315 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.315 * * * * [progress]: [ 529 / 614 ] simplifiying candidate # 184.315 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 184.315 * * [simplify]: iters left: 5 (7 enodes) 184.317 * * [simplify]: iters left: 4 (21 enodes) 184.323 * * [simplify]: Extracting #0: cost 1 inf + 0 184.323 * * [simplify]: Extracting #1: cost 4 inf + 0 184.323 * * [simplify]: Extracting #2: cost 8 inf + 0 184.324 * * [simplify]: Extracting #3: cost 7 inf + 83 184.324 * * [simplify]: Extracting #4: cost 9 inf + 83 184.324 * * [simplify]: Extracting #5: cost 8 inf + 84 184.324 * * [simplify]: Extracting #6: cost 6 inf + 166 184.324 * * [simplify]: Extracting #7: cost 1 inf + 972 184.325 * * [simplify]: Extracting #8: cost 0 inf + 1214 184.325 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 184.325 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.325 * * * * [progress]: [ 530 / 614 ] simplifiying candidate # 184.325 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) a1) 184.325 * * [simplify]: iters left: 5 (6 enodes) 184.327 * * [simplify]: iters left: 4 (18 enodes) 184.330 * * [simplify]: Extracting #0: cost 1 inf + 0 184.330 * * [simplify]: Extracting #1: cost 4 inf + 0 184.330 * * [simplify]: Extracting #2: cost 5 inf + 1 184.330 * * [simplify]: Extracting #3: cost 7 inf + 1 184.330 * * [simplify]: Extracting #4: cost 9 inf + 1 184.330 * * [simplify]: Extracting #5: cost 8 inf + 2 184.330 * * [simplify]: Extracting #6: cost 0 inf + 1052 184.331 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) a1) 184.331 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.331 * * * * [progress]: [ 531 / 614 ] simplifiying candidate # 184.331 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 184.331 * * [simplify]: iters left: 4 (6 enodes) 184.333 * * [simplify]: iters left: 3 (18 enodes) 184.335 * * [simplify]: Extracting #0: cost 1 inf + 0 184.335 * * [simplify]: Extracting #1: cost 4 inf + 0 184.335 * * [simplify]: Extracting #2: cost 8 inf + 0 184.335 * * [simplify]: Extracting #3: cost 7 inf + 163 184.335 * * [simplify]: Extracting #4: cost 6 inf + 164 184.336 * * [simplify]: Extracting #5: cost 0 inf + 972 184.336 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 184.336 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (cbrt (sqrt 2)) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.336 * * * * [progress]: [ 532 / 614 ] simplifiying candidate # 184.336 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 184.336 * * [simplify]: iters left: 4 (6 enodes) 184.338 * * [simplify]: iters left: 3 (18 enodes) 184.340 * * [simplify]: Extracting #0: cost 1 inf + 0 184.340 * * [simplify]: Extracting #1: cost 4 inf + 0 184.340 * * [simplify]: Extracting #2: cost 8 inf + 0 184.341 * * [simplify]: Extracting #3: cost 7 inf + 83 184.341 * * [simplify]: Extracting #4: cost 6 inf + 84 184.341 * * [simplify]: Extracting #5: cost 0 inf + 812 184.341 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 184.341 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 (sqrt a1))) (/ (cbrt (sqrt 2)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.341 * * * * [progress]: [ 533 / 614 ] simplifiying candidate # 184.341 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 184.341 * * [simplify]: iters left: 4 (5 enodes) 184.343 * * [simplify]: iters left: 3 (15 enodes) 184.345 * * [simplify]: Extracting #0: cost 1 inf + 0 184.345 * * [simplify]: Extracting #1: cost 4 inf + 0 184.345 * * [simplify]: Extracting #2: cost 5 inf + 1 184.345 * * [simplify]: Extracting #3: cost 7 inf + 1 184.345 * * [simplify]: Extracting #4: cost 6 inf + 2 184.345 * * [simplify]: Extracting #5: cost 0 inf + 650 184.345 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 184.345 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.345 * * * * [progress]: [ 534 / 614 ] simplifiying candidate # 184.346 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 184.346 * * [simplify]: iters left: 4 (5 enodes) 184.347 * * [simplify]: iters left: 3 (15 enodes) 184.349 * * [simplify]: Extracting #0: cost 1 inf + 0 184.349 * * [simplify]: Extracting #1: cost 4 inf + 0 184.349 * * [simplify]: Extracting #2: cost 5 inf + 1 184.350 * * [simplify]: Extracting #3: cost 7 inf + 1 184.350 * * [simplify]: Extracting #4: cost 6 inf + 2 184.350 * * [simplify]: Extracting #5: cost 0 inf + 650 184.350 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 184.350 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 1) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.350 * * * * [progress]: [ 535 / 614 ] simplifiying candidate # 184.350 * [simplify]: Simplifying (/ 1 a1) 184.350 * * [simplify]: iters left: 2 (3 enodes) 184.351 * * [simplify]: iters left: 1 (11 enodes) 184.353 * * [simplify]: Extracting #0: cost 1 inf + 0 184.353 * * [simplify]: Extracting #1: cost 4 inf + 0 184.353 * * [simplify]: Extracting #2: cost 2 inf + 2 184.353 * * [simplify]: Extracting #3: cost 0 inf + 86 184.353 * [simplify]: Simplified to (/ 1 a1) 184.353 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (sqrt 2))) (/ 1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.353 * * * * [progress]: [ 536 / 614 ] simplifiying candidate # 184.353 * [simplify]: Simplifying (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 184.353 * * [simplify]: iters left: 6 (13 enodes) 184.357 * * [simplify]: iters left: 5 (46 enodes) 184.372 * * [simplify]: iters left: 4 (76 enodes) 184.399 * * [simplify]: iters left: 3 (130 enodes) 184.446 * * [simplify]: iters left: 2 (181 enodes) 184.521 * * [simplify]: iters left: 1 (250 enodes) 184.592 * * [simplify]: Extracting #0: cost 1 inf + 0 184.592 * * [simplify]: Extracting #1: cost 3 inf + 0 184.592 * * [simplify]: Extracting #2: cost 5 inf + 0 184.592 * * [simplify]: Extracting #3: cost 25 inf + 0 184.593 * * [simplify]: Extracting #4: cost 42 inf + 2 184.593 * * [simplify]: Extracting #5: cost 42 inf + 64 184.593 * * [simplify]: Extracting #6: cost 37 inf + 371 184.595 * * [simplify]: Extracting #7: cost 12 inf + 5280 184.600 * * [simplify]: Extracting #8: cost 2 inf + 8166 184.604 * * [simplify]: Extracting #9: cost 0 inf + 8972 184.608 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) 184.608 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (/ (/ (cbrt (sqrt 2)) a1) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.608 * * * * [progress]: [ 537 / 614 ] simplifiying candidate # 184.609 * [simplify]: Simplifying (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 184.609 * * [simplify]: iters left: 6 (12 enodes) 184.616 * * [simplify]: iters left: 5 (43 enodes) 184.631 * * [simplify]: iters left: 4 (73 enodes) 184.645 * * [simplify]: iters left: 3 (127 enodes) 184.674 * * [simplify]: iters left: 2 (176 enodes) 184.749 * * [simplify]: iters left: 1 (245 enodes) 184.830 * * [simplify]: Extracting #0: cost 1 inf + 0 184.830 * * [simplify]: Extracting #1: cost 3 inf + 0 184.830 * * [simplify]: Extracting #2: cost 23 inf + 0 184.830 * * [simplify]: Extracting #3: cost 41 inf + 2 184.830 * * [simplify]: Extracting #4: cost 40 inf + 125 184.831 * * [simplify]: Extracting #5: cost 36 inf + 371 184.831 * * [simplify]: Extracting #6: cost 14 inf + 4452 184.833 * * [simplify]: Extracting #7: cost 2 inf + 7683 184.835 * * [simplify]: Extracting #8: cost 0 inf + 8248 184.837 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) 184.837 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (sqrt 2)) a1) (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.837 * * * * [progress]: [ 538 / 614 ] simplifiying candidate # 184.837 * [simplify]: Simplifying (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 184.837 * * [simplify]: iters left: 6 (11 enodes) 184.841 * * [simplify]: iters left: 5 (37 enodes) 184.847 * * [simplify]: iters left: 4 (49 enodes) 184.860 * * [simplify]: iters left: 3 (50 enodes) 184.868 * * [simplify]: Extracting #0: cost 1 inf + 0 184.868 * * [simplify]: Extracting #1: cost 6 inf + 0 184.868 * * [simplify]: Extracting #2: cost 12 inf + 0 184.868 * * [simplify]: Extracting #3: cost 15 inf + 1 184.868 * * [simplify]: Extracting #4: cost 16 inf + 63 184.868 * * [simplify]: Extracting #5: cost 17 inf + 124 184.868 * * [simplify]: Extracting #6: cost 15 inf + 166 184.868 * * [simplify]: Extracting #7: cost 9 inf + 934 184.869 * * [simplify]: Extracting #8: cost 3 inf + 2542 184.869 * * [simplify]: Extracting #9: cost 0 inf + 3587 184.870 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 184.870 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.870 * * * * [progress]: [ 539 / 614 ] simplifiying candidate # 184.870 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 184.870 * * [simplify]: iters left: 6 (10 enodes) 184.873 * * [simplify]: iters left: 5 (32 enodes) 184.879 * * [simplify]: iters left: 4 (43 enodes) 184.887 * * [simplify]: iters left: 3 (44 enodes) 184.893 * * [simplify]: Extracting #0: cost 1 inf + 0 184.893 * * [simplify]: Extracting #1: cost 4 inf + 0 184.893 * * [simplify]: Extracting #2: cost 9 inf + 0 184.893 * * [simplify]: Extracting #3: cost 13 inf + 1 184.894 * * [simplify]: Extracting #4: cost 14 inf + 63 184.894 * * [simplify]: Extracting #5: cost 11 inf + 166 184.894 * * [simplify]: Extracting #6: cost 1 inf + 1779 184.894 * * [simplify]: Extracting #7: cost 0 inf + 1941 184.894 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 184.894 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.895 * * * * [progress]: [ 540 / 614 ] simplifiying candidate # 184.895 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) 184.895 * * [simplify]: iters left: 6 (10 enodes) 184.900 * * [simplify]: iters left: 5 (36 enodes) 184.906 * * [simplify]: iters left: 4 (38 enodes) 184.912 * * [simplify]: Extracting #0: cost 1 inf + 0 184.912 * * [simplify]: Extracting #1: cost 5 inf + 0 184.912 * * [simplify]: Extracting #2: cost 8 inf + 1 184.912 * * [simplify]: Extracting #3: cost 9 inf + 2 184.912 * * [simplify]: Extracting #4: cost 6 inf + 125 184.912 * * [simplify]: Extracting #5: cost 2 inf + 630 184.913 * * [simplify]: Extracting #6: cost 0 inf + 893 184.913 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 184.913 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.913 * * * * [progress]: [ 541 / 614 ] simplifiying candidate # 184.913 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) 184.913 * * [simplify]: iters left: 6 (9 enodes) 184.920 * * [simplify]: iters left: 5 (31 enodes) 184.930 * * [simplify]: iters left: 4 (33 enodes) 184.940 * * [simplify]: iters left: 3 (36 enodes) 184.946 * * [simplify]: iters left: 2 (39 enodes) 184.951 * * [simplify]: iters left: 1 (41 enodes) 184.956 * * [simplify]: Extracting #0: cost 1 inf + 0 184.956 * * [simplify]: Extracting #1: cost 5 inf + 0 184.956 * * [simplify]: Extracting #2: cost 8 inf + 1 184.956 * * [simplify]: Extracting #3: cost 9 inf + 2 184.956 * * [simplify]: Extracting #4: cost 6 inf + 125 184.957 * * [simplify]: Extracting #5: cost 1 inf + 852 184.957 * * [simplify]: Extracting #6: cost 0 inf + 893 184.957 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 184.957 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.957 * * * * [progress]: [ 542 / 614 ] simplifiying candidate # 184.957 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) 1)) 184.957 * * [simplify]: iters left: 6 (8 enodes) 184.960 * * [simplify]: iters left: 5 (26 enodes) 184.964 * * [simplify]: iters left: 4 (30 enodes) 184.968 * * [simplify]: iters left: 3 (33 enodes) 184.973 * * [simplify]: iters left: 2 (34 enodes) 184.980 * * [simplify]: iters left: 1 (36 enodes) 184.985 * * [simplify]: Extracting #0: cost 1 inf + 0 184.985 * * [simplify]: Extracting #1: cost 6 inf + 0 184.985 * * [simplify]: Extracting #2: cost 10 inf + 1 184.985 * * [simplify]: Extracting #3: cost 11 inf + 2 184.985 * * [simplify]: Extracting #4: cost 8 inf + 105 184.985 * * [simplify]: Extracting #5: cost 3 inf + 671 184.986 * * [simplify]: Extracting #6: cost 0 inf + 1337 184.986 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 184.986 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (/ (cbrt (sqrt 2)) 1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.986 * * * * [progress]: [ 543 / 614 ] simplifiying candidate # 184.986 * [simplify]: Simplifying (/ (cos th) 1) 184.986 * * [simplify]: iters left: 3 (4 enodes) 184.987 * * [simplify]: iters left: 2 (12 enodes) 184.989 * * [simplify]: iters left: 1 (14 enodes) 184.991 * * [simplify]: Extracting #0: cost 1 inf + 0 184.991 * * [simplify]: Extracting #1: cost 4 inf + 0 184.992 * * [simplify]: Extracting #2: cost 2 inf + 2 184.992 * * [simplify]: Extracting #3: cost 1 inf + 63 184.992 * * [simplify]: Extracting #4: cost 0 inf + 124 184.992 * [simplify]: Simplified to (cos th) 184.992 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (cos th) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 184.992 * * * * [progress]: [ 544 / 614 ] simplifiying candidate # 184.992 * [simplify]: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 184.992 * * [simplify]: iters left: 6 (7 enodes) 184.994 * * [simplify]: iters left: 5 (23 enodes) 184.997 * * [simplify]: iters left: 4 (25 enodes) 185.005 * * [simplify]: Extracting #0: cost 1 inf + 0 185.005 * * [simplify]: Extracting #1: cost 6 inf + 0 185.005 * * [simplify]: Extracting #2: cost 12 inf + 0 185.005 * * [simplify]: Extracting #3: cost 13 inf + 1 185.005 * * [simplify]: Extracting #4: cost 8 inf + 206 185.005 * * [simplify]: Extracting #5: cost 4 inf + 831 185.006 * * [simplify]: Extracting #6: cost 1 inf + 1476 185.006 * * [simplify]: Extracting #7: cost 0 inf + 1738 185.007 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 185.007 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) a1) (/ a1 (/ 1 1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.007 * * * * [progress]: [ 545 / 614 ] simplifiying candidate # 185.007 * * * * [progress]: [ 546 / 614 ] simplifiying candidate # 185.007 * [simplify]: Simplifying (* (cos th) a1) 185.007 * * [simplify]: iters left: 3 (4 enodes) 185.009 * * [simplify]: iters left: 2 (13 enodes) 185.012 * * [simplify]: Extracting #0: cost 1 inf + 0 185.012 * * [simplify]: Extracting #1: cost 4 inf + 0 185.012 * * [simplify]: Extracting #2: cost 5 inf + 1 185.012 * * [simplify]: Extracting #3: cost 4 inf + 2 185.013 * * [simplify]: Extracting #4: cost 0 inf + 328 185.013 * [simplify]: Simplified to (* a1 (cos th)) 185.013 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* a1 (cos th)) (/ (/ (cbrt (sqrt 2)) a1) (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.013 * * * * [progress]: [ 547 / 614 ] simplifiying candidate # 185.013 * [simplify]: Simplifying (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 185.013 * * [simplify]: iters left: 6 (9 enodes) 185.016 * * [simplify]: iters left: 5 (35 enodes) 185.022 * * [simplify]: iters left: 4 (57 enodes) 185.030 * * [simplify]: iters left: 3 (73 enodes) 185.039 * * [simplify]: iters left: 2 (81 enodes) 185.050 * * [simplify]: iters left: 1 (85 enodes) 185.063 * * [simplify]: Extracting #0: cost 1 inf + 0 185.063 * * [simplify]: Extracting #1: cost 16 inf + 0 185.063 * * [simplify]: Extracting #2: cost 30 inf + 1 185.063 * * [simplify]: Extracting #3: cost 30 inf + 63 185.064 * * [simplify]: Extracting #4: cost 24 inf + 411 185.065 * * [simplify]: Extracting #5: cost 6 inf + 4065 185.066 * * [simplify]: Extracting #6: cost 0 inf + 5499 185.067 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) 185.067 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cbrt (sqrt 2)) a1) 1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.067 * * * * [progress]: [ 548 / 614 ] simplifiying candidate # 185.067 * * * * [progress]: [ 549 / 614 ] simplifiying candidate # 185.068 * [simplify]: Simplifying (* (cos th) a1) 185.068 * * [simplify]: iters left: 3 (4 enodes) 185.068 * * [simplify]: iters left: 2 (13 enodes) 185.070 * * [simplify]: Extracting #0: cost 1 inf + 0 185.070 * * [simplify]: Extracting #1: cost 4 inf + 0 185.070 * * [simplify]: Extracting #2: cost 5 inf + 1 185.070 * * [simplify]: Extracting #3: cost 4 inf + 2 185.070 * * [simplify]: Extracting #4: cost 0 inf + 328 185.070 * [simplify]: Simplified to (* a1 (cos th)) 185.070 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* a1 (cos th)) (* (/ (cbrt (sqrt 2)) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.070 * * * * [progress]: [ 550 / 614 ] simplifiying candidate #real (real->posit16 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 185.070 * * * * [progress]: [ 551 / 614 ] simplifiying candidate # 185.070 * * * * [progress]: [ 552 / 614 ] simplifiying candidate # 185.071 * [simplify]: Simplifying (- (log (cbrt (sqrt 2))) (log a1)) 185.071 * * [simplify]: iters left: 5 (7 enodes) 185.073 * * [simplify]: iters left: 4 (23 enodes) 185.076 * * [simplify]: iters left: 3 (26 enodes) 185.079 * * [simplify]: Extracting #0: cost 1 inf + 0 185.079 * * [simplify]: Extracting #1: cost 5 inf + 0 185.080 * * [simplify]: Extracting #2: cost 10 inf + 0 185.080 * * [simplify]: Extracting #3: cost 11 inf + 1 185.080 * * [simplify]: Extracting #4: cost 10 inf + 294 185.080 * * [simplify]: Extracting #5: cost 8 inf + 366 185.080 * * [simplify]: Extracting #6: cost 6 inf + 448 185.080 * * [simplify]: Extracting #7: cost 2 inf + 1072 185.080 * * [simplify]: Extracting #8: cost 1 inf + 1374 185.080 * * [simplify]: Extracting #9: cost 0 inf + 1676 185.081 * [simplify]: Simplified to (- (log (cbrt (sqrt 2))) (log a1)) 185.081 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (exp (- (log (cbrt (sqrt 2))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.081 * * * * [progress]: [ 553 / 614 ] simplifiying candidate # 185.081 * * * * [progress]: [ 554 / 614 ] simplifiying candidate # 185.081 * * * * [progress]: [ 555 / 614 ] simplifiying candidate # 185.081 * [simplify]: Simplifying (/ (sqrt 2) (* (* a1 a1) a1)) 185.081 * * [simplify]: iters left: 6 (6 enodes) 185.083 * * [simplify]: iters left: 5 (21 enodes) 185.086 * * [simplify]: iters left: 4 (28 enodes) 185.091 * * [simplify]: iters left: 3 (36 enodes) 185.097 * * [simplify]: iters left: 2 (48 enodes) 185.107 * * [simplify]: iters left: 1 (74 enodes) 185.121 * * [simplify]: Extracting #0: cost 1 inf + 0 185.121 * * [simplify]: Extracting #1: cost 8 inf + 0 185.121 * * [simplify]: Extracting #2: cost 18 inf + 1 185.121 * * [simplify]: Extracting #3: cost 21 inf + 85 185.121 * * [simplify]: Extracting #4: cost 16 inf + 836 185.122 * * [simplify]: Extracting #5: cost 9 inf + 1700 185.122 * * [simplify]: Extracting #6: cost 1 inf + 4189 185.123 * * [simplify]: Extracting #7: cost 0 inf + 4401 185.124 * [simplify]: Simplified to (/ (sqrt 2) (* a1 (* a1 a1))) 185.124 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (sqrt 2) (* a1 (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.124 * * * * [progress]: [ 556 / 614 ] simplifiying candidate # 185.124 * * * * [progress]: [ 557 / 614 ] simplifiying candidate # 185.124 * * * * [progress]: [ 558 / 614 ] simplifiying candidate # 185.124 * * * * [progress]: [ 559 / 614 ] simplifiying candidate # 185.125 * * * * [progress]: [ 560 / 614 ] simplifiying candidate # 185.125 * [simplify]: Simplifying (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1))) 185.125 * * [simplify]: iters left: 6 (9 enodes) 185.129 * * [simplify]: iters left: 5 (29 enodes) 185.138 * * [simplify]: iters left: 4 (31 enodes) 185.147 * * [simplify]: Extracting #0: cost 1 inf + 0 185.148 * * [simplify]: Extracting #1: cost 6 inf + 0 185.148 * * [simplify]: Extracting #2: cost 12 inf + 0 185.148 * * [simplify]: Extracting #3: cost 13 inf + 1 185.148 * * [simplify]: Extracting #4: cost 13 inf + 203 185.148 * * [simplify]: Extracting #5: cost 13 inf + 405 185.148 * * [simplify]: Extracting #6: cost 12 inf + 406 185.148 * * [simplify]: Extracting #7: cost 10 inf + 488 185.149 * * [simplify]: Extracting #8: cost 6 inf + 1052 185.149 * * [simplify]: Extracting #9: cost 2 inf + 2459 185.150 * * [simplify]: Extracting #10: cost 0 inf + 3062 185.150 * [simplify]: Simplified to (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1))) 185.150 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.151 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 185.151 * * [simplify]: iters left: 5 (7 enodes) 185.154 * * [simplify]: iters left: 4 (21 enodes) 185.162 * * [simplify]: Extracting #0: cost 1 inf + 0 185.162 * * [simplify]: Extracting #1: cost 4 inf + 0 185.162 * * [simplify]: Extracting #2: cost 8 inf + 0 185.162 * * [simplify]: Extracting #3: cost 7 inf + 163 185.162 * * [simplify]: Extracting #4: cost 9 inf + 163 185.162 * * [simplify]: Extracting #5: cost 8 inf + 164 185.163 * * [simplify]: Extracting #6: cost 6 inf + 246 185.163 * * [simplify]: Extracting #7: cost 1 inf + 1212 185.163 * * [simplify]: Extracting #8: cost 0 inf + 1534 185.163 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 185.164 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.164 * * * * [progress]: [ 561 / 614 ] simplifiying candidate # 185.164 * [simplify]: Simplifying (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)) 185.164 * * [simplify]: iters left: 6 (8 enodes) 185.168 * * [simplify]: iters left: 5 (24 enodes) 185.175 * * [simplify]: Extracting #0: cost 1 inf + 0 185.175 * * [simplify]: Extracting #1: cost 4 inf + 0 185.175 * * [simplify]: Extracting #2: cost 8 inf + 0 185.176 * * [simplify]: Extracting #3: cost 8 inf + 42 185.176 * * [simplify]: Extracting #4: cost 9 inf + 83 185.176 * * [simplify]: Extracting #5: cost 11 inf + 83 185.176 * * [simplify]: Extracting #6: cost 10 inf + 84 185.176 * * [simplify]: Extracting #7: cost 9 inf + 125 185.176 * * [simplify]: Extracting #8: cost 5 inf + 569 185.176 * * [simplify]: Extracting #9: cost 1 inf + 1534 185.177 * * [simplify]: Extracting #10: cost 0 inf + 1856 185.177 * [simplify]: Simplified to (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)) 185.177 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.178 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 185.178 * * [simplify]: iters left: 5 (7 enodes) 185.181 * * [simplify]: iters left: 4 (21 enodes) 185.187 * * [simplify]: Extracting #0: cost 1 inf + 0 185.187 * * [simplify]: Extracting #1: cost 4 inf + 0 185.187 * * [simplify]: Extracting #2: cost 8 inf + 0 185.188 * * [simplify]: Extracting #3: cost 7 inf + 83 185.188 * * [simplify]: Extracting #4: cost 9 inf + 83 185.188 * * [simplify]: Extracting #5: cost 8 inf + 84 185.188 * * [simplify]: Extracting #6: cost 6 inf + 166 185.188 * * [simplify]: Extracting #7: cost 1 inf + 1092 185.189 * * [simplify]: Extracting #8: cost 0 inf + 1374 185.189 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 185.189 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.189 * * * * [progress]: [ 562 / 614 ] simplifiying candidate # 185.190 * [simplify]: Simplifying (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 185.190 * * [simplify]: iters left: 6 (7 enodes) 185.194 * * [simplify]: iters left: 5 (21 enodes) 185.201 * * [simplify]: iters left: 4 (23 enodes) 185.208 * * [simplify]: Extracting #0: cost 1 inf + 0 185.208 * * [simplify]: Extracting #1: cost 4 inf + 0 185.208 * * [simplify]: Extracting #2: cost 5 inf + 1 185.208 * * [simplify]: Extracting #3: cost 7 inf + 1 185.208 * * [simplify]: Extracting #4: cost 9 inf + 1 185.208 * * [simplify]: Extracting #5: cost 8 inf + 2 185.208 * * [simplify]: Extracting #6: cost 6 inf + 84 185.208 * * [simplify]: Extracting #7: cost 1 inf + 889 185.209 * * [simplify]: Extracting #8: cost 0 inf + 1130 185.209 * [simplify]: Simplified to (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 185.209 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.210 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) a1) 185.210 * * [simplify]: iters left: 5 (6 enodes) 185.213 * * [simplify]: iters left: 4 (18 enodes) 185.219 * * [simplify]: Extracting #0: cost 1 inf + 0 185.219 * * [simplify]: Extracting #1: cost 4 inf + 0 185.219 * * [simplify]: Extracting #2: cost 5 inf + 1 185.219 * * [simplify]: Extracting #3: cost 7 inf + 1 185.219 * * [simplify]: Extracting #4: cost 9 inf + 1 185.219 * * [simplify]: Extracting #5: cost 8 inf + 2 185.219 * * [simplify]: Extracting #6: cost 0 inf + 1212 185.220 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) a1) 185.220 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.220 * * * * [progress]: [ 563 / 614 ] simplifiying candidate # 185.220 * [simplify]: Simplifying (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (cbrt a1) (cbrt a1))) 185.220 * * [simplify]: iters left: 6 (9 enodes) 185.225 * * [simplify]: iters left: 5 (30 enodes) 185.234 * * [simplify]: iters left: 4 (32 enodes) 185.244 * * [simplify]: Extracting #0: cost 1 inf + 0 185.244 * * [simplify]: Extracting #1: cost 6 inf + 0 185.244 * * [simplify]: Extracting #2: cost 12 inf + 0 185.244 * * [simplify]: Extracting #3: cost 14 inf + 1 185.244 * * [simplify]: Extracting #4: cost 13 inf + 405 185.244 * * [simplify]: Extracting #5: cost 12 inf + 406 185.244 * * [simplify]: Extracting #6: cost 10 inf + 608 185.245 * * [simplify]: Extracting #7: cost 0 inf + 2822 185.245 * [simplify]: Simplified to (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1))) 185.245 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.246 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)) 185.246 * * [simplify]: iters left: 5 (7 enodes) 185.250 * * [simplify]: iters left: 4 (21 enodes) 185.256 * * [simplify]: Extracting #0: cost 1 inf + 0 185.256 * * [simplify]: Extracting #1: cost 4 inf + 0 185.256 * * [simplify]: Extracting #2: cost 8 inf + 0 185.256 * * [simplify]: Extracting #3: cost 7 inf + 163 185.256 * * [simplify]: Extracting #4: cost 9 inf + 163 185.256 * * [simplify]: Extracting #5: cost 8 inf + 164 185.257 * * [simplify]: Extracting #6: cost 6 inf + 326 185.257 * * [simplify]: Extracting #7: cost 1 inf + 1292 185.257 * * [simplify]: Extracting #8: cost 0 inf + 1614 185.258 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)) 185.258 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (fabs (cbrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (cbrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.258 * * * * [progress]: [ 564 / 614 ] simplifiying candidate # 185.258 * [simplify]: Simplifying (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt a1)) 185.258 * * [simplify]: iters left: 6 (8 enodes) 185.262 * * [simplify]: iters left: 5 (25 enodes) 185.270 * * [simplify]: Extracting #0: cost 1 inf + 0 185.270 * * [simplify]: Extracting #1: cost 4 inf + 0 185.270 * * [simplify]: Extracting #2: cost 8 inf + 0 185.270 * * [simplify]: Extracting #3: cost 10 inf + 1 185.270 * * [simplify]: Extracting #4: cost 11 inf + 83 185.270 * * [simplify]: Extracting #5: cost 10 inf + 84 185.271 * * [simplify]: Extracting #6: cost 6 inf + 488 185.271 * * [simplify]: Extracting #7: cost 1 inf + 1414 185.271 * * [simplify]: Extracting #8: cost 0 inf + 1696 185.272 * [simplify]: Simplified to (/ (cbrt (fabs (cbrt 2))) (sqrt a1)) 185.272 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (fabs (cbrt 2))) (sqrt a1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.272 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)) 185.272 * * [simplify]: iters left: 5 (7 enodes) 185.276 * * [simplify]: iters left: 4 (21 enodes) 185.282 * * [simplify]: Extracting #0: cost 1 inf + 0 185.282 * * [simplify]: Extracting #1: cost 4 inf + 0 185.282 * * [simplify]: Extracting #2: cost 8 inf + 0 185.282 * * [simplify]: Extracting #3: cost 7 inf + 83 185.282 * * [simplify]: Extracting #4: cost 9 inf + 83 185.282 * * [simplify]: Extracting #5: cost 8 inf + 84 185.282 * * [simplify]: Extracting #6: cost 6 inf + 246 185.283 * * [simplify]: Extracting #7: cost 1 inf + 1172 185.283 * * [simplify]: Extracting #8: cost 0 inf + 1454 185.283 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)) 185.283 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (fabs (cbrt 2))) (sqrt a1)) (/ (cbrt (sqrt (cbrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.284 * * * * [progress]: [ 565 / 614 ] simplifiying candidate # 185.284 * [simplify]: Simplifying (/ (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 1) 185.284 * * [simplify]: iters left: 6 (7 enodes) 185.287 * * [simplify]: iters left: 5 (22 enodes) 185.291 * * [simplify]: iters left: 4 (24 enodes) 185.295 * * [simplify]: Extracting #0: cost 1 inf + 0 185.295 * * [simplify]: Extracting #1: cost 4 inf + 0 185.295 * * [simplify]: Extracting #2: cost 6 inf + 1 185.296 * * [simplify]: Extracting #3: cost 9 inf + 1 185.296 * * [simplify]: Extracting #4: cost 8 inf + 2 185.296 * * [simplify]: Extracting #5: cost 1 inf + 849 185.296 * * [simplify]: Extracting #6: cost 0 inf + 1050 185.296 * [simplify]: Simplified to (cbrt (fabs (cbrt 2))) 185.296 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (fabs (cbrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.296 * [simplify]: Simplifying (/ (cbrt (sqrt (cbrt 2))) a1) 185.296 * * [simplify]: iters left: 5 (6 enodes) 185.298 * * [simplify]: iters left: 4 (18 enodes) 185.301 * * [simplify]: Extracting #0: cost 1 inf + 0 185.301 * * [simplify]: Extracting #1: cost 4 inf + 0 185.301 * * [simplify]: Extracting #2: cost 5 inf + 1 185.301 * * [simplify]: Extracting #3: cost 7 inf + 1 185.301 * * [simplify]: Extracting #4: cost 9 inf + 1 185.301 * * [simplify]: Extracting #5: cost 8 inf + 2 185.301 * * [simplify]: Extracting #6: cost 0 inf + 1292 185.301 * [simplify]: Simplified to (/ (cbrt (sqrt (cbrt 2))) a1) 185.301 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (fabs (cbrt 2))) (/ (cbrt (sqrt (cbrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.301 * * * * [progress]: [ 566 / 614 ] simplifiying candidate # 185.302 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.302 * * [simplify]: iters left: 5 (8 enodes) 185.306 * * [simplify]: iters left: 4 (26 enodes) 185.310 * * [simplify]: iters left: 3 (28 enodes) 185.314 * * [simplify]: Extracting #0: cost 1 inf + 0 185.314 * * [simplify]: Extracting #1: cost 6 inf + 0 185.314 * * [simplify]: Extracting #2: cost 12 inf + 0 185.314 * * [simplify]: Extracting #3: cost 10 inf + 284 185.314 * * [simplify]: Extracting #4: cost 11 inf + 405 185.314 * * [simplify]: Extracting #5: cost 10 inf + 406 185.314 * * [simplify]: Extracting #6: cost 9 inf + 447 185.315 * * [simplify]: Extracting #7: cost 4 inf + 1133 185.315 * * [simplify]: Extracting #8: cost 0 inf + 2180 185.315 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.315 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.315 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 185.315 * * [simplify]: iters left: 5 (7 enodes) 185.317 * * [simplify]: iters left: 4 (21 enodes) 185.321 * * [simplify]: Extracting #0: cost 1 inf + 0 185.321 * * [simplify]: Extracting #1: cost 4 inf + 0 185.321 * * [simplify]: Extracting #2: cost 8 inf + 0 185.321 * * [simplify]: Extracting #3: cost 7 inf + 163 185.321 * * [simplify]: Extracting #4: cost 9 inf + 163 185.321 * * [simplify]: Extracting #5: cost 8 inf + 164 185.321 * * [simplify]: Extracting #6: cost 6 inf + 246 185.321 * * [simplify]: Extracting #7: cost 1 inf + 1012 185.321 * * [simplify]: Extracting #8: cost 0 inf + 1294 185.321 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 185.322 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.322 * * * * [progress]: [ 567 / 614 ] simplifiying candidate # 185.322 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.322 * * [simplify]: iters left: 5 (7 enodes) 185.325 * * [simplify]: iters left: 4 (21 enodes) 185.332 * * [simplify]: Extracting #0: cost 1 inf + 0 185.332 * * [simplify]: Extracting #1: cost 4 inf + 0 185.332 * * [simplify]: Extracting #2: cost 8 inf + 0 185.332 * * [simplify]: Extracting #3: cost 7 inf + 83 185.332 * * [simplify]: Extracting #4: cost 9 inf + 83 185.332 * * [simplify]: Extracting #5: cost 8 inf + 84 185.332 * * [simplify]: Extracting #6: cost 6 inf + 166 185.332 * * [simplify]: Extracting #7: cost 1 inf + 892 185.333 * * [simplify]: Extracting #8: cost 0 inf + 1134 185.333 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.333 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.333 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.333 * * [simplify]: iters left: 5 (7 enodes) 185.337 * * [simplify]: iters left: 4 (21 enodes) 185.343 * * [simplify]: Extracting #0: cost 1 inf + 0 185.343 * * [simplify]: Extracting #1: cost 4 inf + 0 185.343 * * [simplify]: Extracting #2: cost 8 inf + 0 185.344 * * [simplify]: Extracting #3: cost 7 inf + 83 185.344 * * [simplify]: Extracting #4: cost 9 inf + 83 185.344 * * [simplify]: Extracting #5: cost 8 inf + 84 185.344 * * [simplify]: Extracting #6: cost 6 inf + 166 185.344 * * [simplify]: Extracting #7: cost 1 inf + 892 185.344 * * [simplify]: Extracting #8: cost 0 inf + 1134 185.345 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.345 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.345 * * * * [progress]: [ 568 / 614 ] simplifiying candidate # 185.345 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) 1) 185.346 * * [simplify]: iters left: 5 (6 enodes) 185.350 * * [simplify]: iters left: 4 (18 enodes) 185.356 * * [simplify]: iters left: 3 (20 enodes) 185.362 * * [simplify]: Extracting #0: cost 1 inf + 0 185.362 * * [simplify]: Extracting #1: cost 4 inf + 0 185.362 * * [simplify]: Extracting #2: cost 5 inf + 1 185.362 * * [simplify]: Extracting #3: cost 7 inf + 1 185.363 * * [simplify]: Extracting #4: cost 6 inf + 2 185.363 * * [simplify]: Extracting #5: cost 0 inf + 568 185.363 * [simplify]: Simplified to (cbrt (sqrt (sqrt 2))) 185.363 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.363 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) a1) 185.363 * * [simplify]: iters left: 5 (6 enodes) 185.367 * * [simplify]: iters left: 4 (18 enodes) 185.372 * * [simplify]: Extracting #0: cost 1 inf + 0 185.372 * * [simplify]: Extracting #1: cost 4 inf + 0 185.373 * * [simplify]: Extracting #2: cost 5 inf + 1 185.373 * * [simplify]: Extracting #3: cost 7 inf + 1 185.373 * * [simplify]: Extracting #4: cost 9 inf + 1 185.373 * * [simplify]: Extracting #5: cost 8 inf + 2 185.373 * * [simplify]: Extracting #6: cost 0 inf + 972 185.373 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) a1) 185.373 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.373 * * * * [progress]: [ 569 / 614 ] simplifiying candidate # 185.374 * [simplify]: Simplifying (/ (cbrt (sqrt 1)) (* (cbrt a1) (cbrt a1))) 185.374 * * [simplify]: iters left: 5 (7 enodes) 185.378 * * [simplify]: iters left: 4 (25 enodes) 185.388 * * [simplify]: iters left: 3 (29 enodes) 185.395 * * [simplify]: Extracting #0: cost 1 inf + 0 185.395 * * [simplify]: Extracting #1: cost 6 inf + 0 185.395 * * [simplify]: Extracting #2: cost 9 inf + 1 185.396 * * [simplify]: Extracting #3: cost 3 inf + 569 185.396 * * [simplify]: Extracting #4: cost 1 inf + 812 185.396 * * [simplify]: Extracting #5: cost 0 inf + 974 185.397 * [simplify]: Simplified to (/ 1 (* (cbrt a1) (cbrt a1))) 185.397 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.397 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 185.397 * * [simplify]: iters left: 4 (6 enodes) 185.399 * * [simplify]: iters left: 3 (18 enodes) 185.402 * * [simplify]: Extracting #0: cost 1 inf + 0 185.402 * * [simplify]: Extracting #1: cost 4 inf + 0 185.402 * * [simplify]: Extracting #2: cost 8 inf + 0 185.402 * * [simplify]: Extracting #3: cost 7 inf + 163 185.402 * * [simplify]: Extracting #4: cost 6 inf + 164 185.402 * * [simplify]: Extracting #5: cost 0 inf + 972 185.402 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 185.402 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.402 * * * * [progress]: [ 570 / 614 ] simplifiying candidate # 185.402 * [simplify]: Simplifying (/ (cbrt (sqrt 1)) (sqrt a1)) 185.402 * * [simplify]: iters left: 4 (6 enodes) 185.404 * * [simplify]: iters left: 3 (20 enodes) 185.408 * * [simplify]: iters left: 2 (22 enodes) 185.411 * * [simplify]: Extracting #0: cost 1 inf + 0 185.411 * * [simplify]: Extracting #1: cost 4 inf + 0 185.411 * * [simplify]: Extracting #2: cost 5 inf + 1 185.411 * * [simplify]: Extracting #3: cost 0 inf + 248 185.411 * [simplify]: Simplified to (/ 1 (sqrt a1)) 185.411 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.411 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 185.412 * * [simplify]: iters left: 4 (6 enodes) 185.413 * * [simplify]: iters left: 3 (18 enodes) 185.416 * * [simplify]: Extracting #0: cost 1 inf + 0 185.416 * * [simplify]: Extracting #1: cost 4 inf + 0 185.416 * * [simplify]: Extracting #2: cost 8 inf + 0 185.416 * * [simplify]: Extracting #3: cost 7 inf + 83 185.416 * * [simplify]: Extracting #4: cost 6 inf + 84 185.416 * * [simplify]: Extracting #5: cost 0 inf + 812 185.416 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 185.416 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.416 * * * * [progress]: [ 571 / 614 ] simplifiying candidate # 185.416 * [simplify]: Simplifying (/ (cbrt (sqrt 1)) 1) 185.416 * * [simplify]: iters left: 4 (4 enodes) 185.421 * * [simplify]: iters left: 3 (12 enodes) 185.423 * * [simplify]: iters left: 2 (14 enodes) 185.425 * * [simplify]: Extracting #0: cost 1 inf + 0 185.425 * * [simplify]: Extracting #1: cost 0 inf + 1 185.425 * [simplify]: Simplified to 1 185.425 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.425 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 185.425 * * [simplify]: iters left: 4 (5 enodes) 185.426 * * [simplify]: iters left: 3 (15 enodes) 185.429 * * [simplify]: Extracting #0: cost 1 inf + 0 185.429 * * [simplify]: Extracting #1: cost 4 inf + 0 185.429 * * [simplify]: Extracting #2: cost 5 inf + 1 185.429 * * [simplify]: Extracting #3: cost 7 inf + 1 185.429 * * [simplify]: Extracting #4: cost 6 inf + 2 185.429 * * [simplify]: Extracting #5: cost 0 inf + 650 185.429 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 185.429 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.429 * * * * [progress]: [ 572 / 614 ] simplifiying candidate # 185.429 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.429 * * [simplify]: iters left: 5 (8 enodes) 185.431 * * [simplify]: iters left: 4 (26 enodes) 185.435 * * [simplify]: iters left: 3 (28 enodes) 185.439 * * [simplify]: Extracting #0: cost 1 inf + 0 185.439 * * [simplify]: Extracting #1: cost 6 inf + 0 185.439 * * [simplify]: Extracting #2: cost 12 inf + 0 185.440 * * [simplify]: Extracting #3: cost 10 inf + 284 185.440 * * [simplify]: Extracting #4: cost 11 inf + 405 185.440 * * [simplify]: Extracting #5: cost 10 inf + 406 185.440 * * [simplify]: Extracting #6: cost 9 inf + 447 185.440 * * [simplify]: Extracting #7: cost 4 inf + 1133 185.440 * * [simplify]: Extracting #8: cost 0 inf + 2180 185.440 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.441 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.441 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 185.441 * * [simplify]: iters left: 5 (7 enodes) 185.443 * * [simplify]: iters left: 4 (21 enodes) 185.446 * * [simplify]: Extracting #0: cost 1 inf + 0 185.446 * * [simplify]: Extracting #1: cost 4 inf + 0 185.446 * * [simplify]: Extracting #2: cost 8 inf + 0 185.446 * * [simplify]: Extracting #3: cost 7 inf + 163 185.446 * * [simplify]: Extracting #4: cost 9 inf + 163 185.446 * * [simplify]: Extracting #5: cost 8 inf + 164 185.446 * * [simplify]: Extracting #6: cost 6 inf + 246 185.446 * * [simplify]: Extracting #7: cost 1 inf + 1012 185.446 * * [simplify]: Extracting #8: cost 0 inf + 1294 185.446 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)) 185.447 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.447 * * * * [progress]: [ 573 / 614 ] simplifiying candidate # 185.447 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.447 * * [simplify]: iters left: 5 (7 enodes) 185.449 * * [simplify]: iters left: 4 (21 enodes) 185.452 * * [simplify]: Extracting #0: cost 1 inf + 0 185.452 * * [simplify]: Extracting #1: cost 4 inf + 0 185.452 * * [simplify]: Extracting #2: cost 8 inf + 0 185.452 * * [simplify]: Extracting #3: cost 7 inf + 83 185.452 * * [simplify]: Extracting #4: cost 9 inf + 83 185.452 * * [simplify]: Extracting #5: cost 8 inf + 84 185.452 * * [simplify]: Extracting #6: cost 6 inf + 166 185.452 * * [simplify]: Extracting #7: cost 1 inf + 892 185.453 * * [simplify]: Extracting #8: cost 0 inf + 1134 185.453 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.453 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.453 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.453 * * [simplify]: iters left: 5 (7 enodes) 185.457 * * [simplify]: iters left: 4 (21 enodes) 185.463 * * [simplify]: Extracting #0: cost 1 inf + 0 185.463 * * [simplify]: Extracting #1: cost 4 inf + 0 185.463 * * [simplify]: Extracting #2: cost 8 inf + 0 185.463 * * [simplify]: Extracting #3: cost 7 inf + 83 185.463 * * [simplify]: Extracting #4: cost 9 inf + 83 185.464 * * [simplify]: Extracting #5: cost 8 inf + 84 185.464 * * [simplify]: Extracting #6: cost 6 inf + 166 185.464 * * [simplify]: Extracting #7: cost 1 inf + 892 185.464 * * [simplify]: Extracting #8: cost 0 inf + 1134 185.465 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) 185.465 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)) (/ (cbrt (sqrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.465 * * * * [progress]: [ 574 / 614 ] simplifiying candidate # 185.465 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) 1) 185.465 * * [simplify]: iters left: 5 (6 enodes) 185.469 * * [simplify]: iters left: 4 (18 enodes) 185.475 * * [simplify]: iters left: 3 (20 enodes) 185.481 * * [simplify]: Extracting #0: cost 1 inf + 0 185.481 * * [simplify]: Extracting #1: cost 4 inf + 0 185.481 * * [simplify]: Extracting #2: cost 5 inf + 1 185.481 * * [simplify]: Extracting #3: cost 7 inf + 1 185.481 * * [simplify]: Extracting #4: cost 6 inf + 2 185.481 * * [simplify]: Extracting #5: cost 0 inf + 568 185.481 * [simplify]: Simplified to (cbrt (sqrt (sqrt 2))) 185.481 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.482 * [simplify]: Simplifying (/ (cbrt (sqrt (sqrt 2))) a1) 185.482 * * [simplify]: iters left: 5 (6 enodes) 185.485 * * [simplify]: iters left: 4 (18 enodes) 185.490 * * [simplify]: Extracting #0: cost 1 inf + 0 185.491 * * [simplify]: Extracting #1: cost 4 inf + 0 185.491 * * [simplify]: Extracting #2: cost 5 inf + 1 185.491 * * [simplify]: Extracting #3: cost 7 inf + 1 185.491 * * [simplify]: Extracting #4: cost 9 inf + 1 185.491 * * [simplify]: Extracting #5: cost 8 inf + 2 185.491 * * [simplify]: Extracting #6: cost 0 inf + 972 185.491 * [simplify]: Simplified to (/ (cbrt (sqrt (sqrt 2))) a1) 185.491 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.491 * * * * [progress]: [ 575 / 614 ] simplifiying candidate # 185.492 * [simplify]: Simplifying (/ (cbrt 1) (* (cbrt a1) (cbrt a1))) 185.492 * * [simplify]: iters left: 5 (6 enodes) 185.496 * * [simplify]: iters left: 4 (22 enodes) 185.504 * * [simplify]: iters left: 3 (29 enodes) 185.511 * * [simplify]: iters left: 2 (31 enodes) 185.519 * * [simplify]: Extracting #0: cost 1 inf + 0 185.519 * * [simplify]: Extracting #1: cost 7 inf + 0 185.519 * * [simplify]: Extracting #2: cost 11 inf + 1 185.519 * * [simplify]: Extracting #3: cost 10 inf + 2 185.520 * * [simplify]: Extracting #4: cost 2 inf + 935 185.520 * * [simplify]: Extracting #5: cost 0 inf + 1218 185.520 * [simplify]: Simplified to (/ 1 (* (cbrt a1) (cbrt a1))) 185.520 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.521 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 185.521 * * [simplify]: iters left: 4 (6 enodes) 185.524 * * [simplify]: iters left: 3 (18 enodes) 185.528 * * [simplify]: Extracting #0: cost 1 inf + 0 185.528 * * [simplify]: Extracting #1: cost 4 inf + 0 185.528 * * [simplify]: Extracting #2: cost 8 inf + 0 185.528 * * [simplify]: Extracting #3: cost 7 inf + 163 185.528 * * [simplify]: Extracting #4: cost 6 inf + 164 185.528 * * [simplify]: Extracting #5: cost 0 inf + 972 185.528 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 185.528 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.528 * * * * [progress]: [ 576 / 614 ] simplifiying candidate # 185.529 * [simplify]: Simplifying (/ (cbrt 1) (sqrt a1)) 185.529 * * [simplify]: iters left: 3 (5 enodes) 185.531 * * [simplify]: iters left: 2 (17 enodes) 185.533 * * [simplify]: iters left: 1 (19 enodes) 185.537 * * [simplify]: Extracting #0: cost 1 inf + 0 185.538 * * [simplify]: Extracting #1: cost 4 inf + 0 185.538 * * [simplify]: Extracting #2: cost 5 inf + 1 185.538 * * [simplify]: Extracting #3: cost 0 inf + 248 185.538 * [simplify]: Simplified to (/ 1 (sqrt a1)) 185.538 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.538 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 185.538 * * [simplify]: iters left: 4 (6 enodes) 185.540 * * [simplify]: iters left: 3 (18 enodes) 185.542 * * [simplify]: Extracting #0: cost 1 inf + 0 185.542 * * [simplify]: Extracting #1: cost 4 inf + 0 185.542 * * [simplify]: Extracting #2: cost 8 inf + 0 185.542 * * [simplify]: Extracting #3: cost 7 inf + 83 185.543 * * [simplify]: Extracting #4: cost 6 inf + 84 185.543 * * [simplify]: Extracting #5: cost 0 inf + 812 185.543 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 185.543 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.543 * * * * [progress]: [ 577 / 614 ] simplifiying candidate # 185.543 * [simplify]: Simplifying (/ (cbrt 1) 1) 185.543 * * [simplify]: iters left: 3 (3 enodes) 185.545 * * [simplify]: iters left: 2 (9 enodes) 185.546 * * [simplify]: iters left: 1 (11 enodes) 185.548 * * [simplify]: Extracting #0: cost 1 inf + 0 185.548 * * [simplify]: Extracting #1: cost 0 inf + 1 185.548 * [simplify]: Simplified to 1 185.548 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.548 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 185.548 * * [simplify]: iters left: 4 (5 enodes) 185.550 * * [simplify]: iters left: 3 (15 enodes) 185.552 * * [simplify]: Extracting #0: cost 1 inf + 0 185.552 * * [simplify]: Extracting #1: cost 4 inf + 0 185.552 * * [simplify]: Extracting #2: cost 5 inf + 1 185.552 * * [simplify]: Extracting #3: cost 7 inf + 1 185.552 * * [simplify]: Extracting #4: cost 6 inf + 2 185.553 * * [simplify]: Extracting #5: cost 0 inf + 650 185.553 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 185.553 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.553 * * * * [progress]: [ 578 / 614 ] simplifiying candidate # 185.553 * [simplify]: Simplifying (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1))) 185.553 * * [simplify]: iters left: 6 (9 enodes) 185.557 * * [simplify]: iters left: 5 (33 enodes) 185.568 * * [simplify]: iters left: 4 (48 enodes) 185.576 * * [simplify]: iters left: 3 (55 enodes) 185.584 * * [simplify]: iters left: 2 (58 enodes) 185.591 * * [simplify]: Extracting #0: cost 1 inf + 0 185.591 * * [simplify]: Extracting #1: cost 11 inf + 0 185.591 * * [simplify]: Extracting #2: cost 22 inf + 0 185.592 * * [simplify]: Extracting #3: cost 23 inf + 1 185.592 * * [simplify]: Extracting #4: cost 22 inf + 284 185.592 * * [simplify]: Extracting #5: cost 19 inf + 447 185.592 * * [simplify]: Extracting #6: cost 6 inf + 3947 185.593 * * [simplify]: Extracting #7: cost 0 inf + 5798 185.593 * [simplify]: Simplified to (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 185.593 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.594 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 185.594 * * [simplify]: iters left: 5 (7 enodes) 185.596 * * [simplify]: iters left: 4 (21 enodes) 185.600 * * [simplify]: Extracting #0: cost 1 inf + 0 185.600 * * [simplify]: Extracting #1: cost 4 inf + 0 185.600 * * [simplify]: Extracting #2: cost 8 inf + 0 185.600 * * [simplify]: Extracting #3: cost 7 inf + 163 185.600 * * [simplify]: Extracting #4: cost 9 inf + 163 185.601 * * [simplify]: Extracting #5: cost 8 inf + 164 185.601 * * [simplify]: Extracting #6: cost 6 inf + 246 185.601 * * [simplify]: Extracting #7: cost 1 inf + 1212 185.602 * * [simplify]: Extracting #8: cost 0 inf + 1534 185.602 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) 185.602 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.602 * * * * [progress]: [ 579 / 614 ] simplifiying candidate # 185.603 * [simplify]: Simplifying (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) 185.603 * * [simplify]: iters left: 6 (8 enodes) 185.607 * * [simplify]: iters left: 5 (26 enodes) 185.615 * * [simplify]: iters left: 4 (30 enodes) 185.619 * * [simplify]: iters left: 3 (33 enodes) 185.624 * * [simplify]: Extracting #0: cost 1 inf + 0 185.624 * * [simplify]: Extracting #1: cost 7 inf + 0 185.624 * * [simplify]: Extracting #2: cost 14 inf + 0 185.624 * * [simplify]: Extracting #3: cost 15 inf + 1 185.624 * * [simplify]: Extracting #4: cost 15 inf + 83 185.624 * * [simplify]: Extracting #5: cost 14 inf + 84 185.624 * * [simplify]: Extracting #6: cost 13 inf + 125 185.625 * * [simplify]: Extracting #7: cost 7 inf + 1173 185.625 * * [simplify]: Extracting #8: cost 1 inf + 2742 185.625 * * [simplify]: Extracting #9: cost 0 inf + 3064 185.626 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 185.626 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (cbrt (cbrt (sqrt 2))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.626 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 185.626 * * [simplify]: iters left: 5 (7 enodes) 185.628 * * [simplify]: iters left: 4 (21 enodes) 185.631 * * [simplify]: Extracting #0: cost 1 inf + 0 185.631 * * [simplify]: Extracting #1: cost 4 inf + 0 185.631 * * [simplify]: Extracting #2: cost 8 inf + 0 185.631 * * [simplify]: Extracting #3: cost 7 inf + 83 185.631 * * [simplify]: Extracting #4: cost 9 inf + 83 185.631 * * [simplify]: Extracting #5: cost 8 inf + 84 185.631 * * [simplify]: Extracting #6: cost 6 inf + 166 185.631 * * [simplify]: Extracting #7: cost 1 inf + 1092 185.633 * * [simplify]: Extracting #8: cost 0 inf + 1374 185.633 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) 185.633 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.633 * * * * [progress]: [ 580 / 614 ] simplifiying candidate # 185.634 * [simplify]: Simplifying (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) 185.634 * * [simplify]: iters left: 6 (7 enodes) 185.636 * * [simplify]: iters left: 5 (23 enodes) 185.641 * * [simplify]: iters left: 4 (33 enodes) 185.650 * * [simplify]: iters left: 3 (34 enodes) 185.660 * * [simplify]: Extracting #0: cost 1 inf + 0 185.660 * * [simplify]: Extracting #1: cost 5 inf + 0 185.660 * * [simplify]: Extracting #2: cost 7 inf + 1 185.660 * * [simplify]: Extracting #3: cost 9 inf + 1 185.660 * * [simplify]: Extracting #4: cost 11 inf + 1 185.660 * * [simplify]: Extracting #5: cost 10 inf + 2 185.660 * * [simplify]: Extracting #6: cost 1 inf + 1453 185.661 * * [simplify]: Extracting #7: cost 0 inf + 1694 185.662 * [simplify]: Simplified to (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 185.662 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.662 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) a1) 185.662 * * [simplify]: iters left: 5 (6 enodes) 185.664 * * [simplify]: iters left: 4 (18 enodes) 185.666 * * [simplify]: Extracting #0: cost 1 inf + 0 185.666 * * [simplify]: Extracting #1: cost 4 inf + 0 185.666 * * [simplify]: Extracting #2: cost 5 inf + 1 185.666 * * [simplify]: Extracting #3: cost 7 inf + 1 185.667 * * [simplify]: Extracting #4: cost 9 inf + 1 185.667 * * [simplify]: Extracting #5: cost 8 inf + 2 185.667 * * [simplify]: Extracting #6: cost 0 inf + 1212 185.667 * [simplify]: Simplified to (/ (cbrt (cbrt (sqrt 2))) a1) 185.667 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.667 * * * * [progress]: [ 581 / 614 ] simplifiying candidate # 185.667 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.667 * * [simplify]: iters left: 5 (8 enodes) 185.669 * * [simplify]: iters left: 4 (26 enodes) 185.673 * * [simplify]: iters left: 3 (28 enodes) 185.678 * * [simplify]: Extracting #0: cost 1 inf + 0 185.678 * * [simplify]: Extracting #1: cost 6 inf + 0 185.678 * * [simplify]: Extracting #2: cost 12 inf + 0 185.678 * * [simplify]: Extracting #3: cost 10 inf + 284 185.678 * * [simplify]: Extracting #4: cost 11 inf + 405 185.678 * * [simplify]: Extracting #5: cost 10 inf + 406 185.678 * * [simplify]: Extracting #6: cost 9 inf + 447 185.678 * * [simplify]: Extracting #7: cost 4 inf + 1213 185.679 * * [simplify]: Extracting #8: cost 0 inf + 2260 185.679 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) 185.679 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.679 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)) 185.679 * * [simplify]: iters left: 5 (7 enodes) 185.681 * * [simplify]: iters left: 4 (21 enodes) 185.685 * * [simplify]: Extracting #0: cost 1 inf + 0 185.685 * * [simplify]: Extracting #1: cost 4 inf + 0 185.685 * * [simplify]: Extracting #2: cost 8 inf + 0 185.685 * * [simplify]: Extracting #3: cost 7 inf + 163 185.685 * * [simplify]: Extracting #4: cost 9 inf + 163 185.685 * * [simplify]: Extracting #5: cost 8 inf + 164 185.685 * * [simplify]: Extracting #6: cost 6 inf + 246 185.685 * * [simplify]: Extracting #7: cost 1 inf + 1092 185.685 * * [simplify]: Extracting #8: cost 0 inf + 1374 185.685 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)) 185.685 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (sqrt (cbrt (sqrt 2))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.686 * * * * [progress]: [ 582 / 614 ] simplifiying candidate # 185.686 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 185.686 * * [simplify]: iters left: 5 (7 enodes) 185.688 * * [simplify]: iters left: 4 (21 enodes) 185.692 * * [simplify]: Extracting #0: cost 1 inf + 0 185.692 * * [simplify]: Extracting #1: cost 4 inf + 0 185.692 * * [simplify]: Extracting #2: cost 8 inf + 0 185.692 * * [simplify]: Extracting #3: cost 7 inf + 83 185.692 * * [simplify]: Extracting #4: cost 9 inf + 83 185.692 * * [simplify]: Extracting #5: cost 8 inf + 84 185.693 * * [simplify]: Extracting #6: cost 6 inf + 166 185.693 * * [simplify]: Extracting #7: cost 1 inf + 972 185.693 * * [simplify]: Extracting #8: cost 0 inf + 1214 185.694 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 185.694 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.694 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 185.694 * * [simplify]: iters left: 5 (7 enodes) 185.698 * * [simplify]: iters left: 4 (21 enodes) 185.704 * * [simplify]: Extracting #0: cost 1 inf + 0 185.704 * * [simplify]: Extracting #1: cost 4 inf + 0 185.704 * * [simplify]: Extracting #2: cost 8 inf + 0 185.704 * * [simplify]: Extracting #3: cost 7 inf + 83 185.705 * * [simplify]: Extracting #4: cost 9 inf + 83 185.705 * * [simplify]: Extracting #5: cost 8 inf + 84 185.705 * * [simplify]: Extracting #6: cost 6 inf + 166 185.705 * * [simplify]: Extracting #7: cost 1 inf + 972 185.705 * * [simplify]: Extracting #8: cost 0 inf + 1214 185.706 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) 185.706 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)) (/ (sqrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.706 * * * * [progress]: [ 583 / 614 ] simplifiying candidate # 185.706 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) 1) 185.706 * * [simplify]: iters left: 5 (6 enodes) 185.710 * * [simplify]: iters left: 4 (18 enodes) 185.717 * * [simplify]: iters left: 3 (20 enodes) 185.723 * * [simplify]: Extracting #0: cost 1 inf + 0 185.723 * * [simplify]: Extracting #1: cost 4 inf + 0 185.723 * * [simplify]: Extracting #2: cost 5 inf + 1 185.723 * * [simplify]: Extracting #3: cost 7 inf + 1 185.723 * * [simplify]: Extracting #4: cost 6 inf + 2 185.723 * * [simplify]: Extracting #5: cost 0 inf + 648 185.723 * [simplify]: Simplified to (sqrt (cbrt (sqrt 2))) 185.723 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (sqrt (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.723 * [simplify]: Simplifying (/ (sqrt (cbrt (sqrt 2))) a1) 185.724 * * [simplify]: iters left: 5 (6 enodes) 185.725 * * [simplify]: iters left: 4 (18 enodes) 185.728 * * [simplify]: Extracting #0: cost 1 inf + 0 185.728 * * [simplify]: Extracting #1: cost 4 inf + 0 185.728 * * [simplify]: Extracting #2: cost 5 inf + 1 185.728 * * [simplify]: Extracting #3: cost 7 inf + 1 185.728 * * [simplify]: Extracting #4: cost 9 inf + 1 185.728 * * [simplify]: Extracting #5: cost 8 inf + 2 185.728 * * [simplify]: Extracting #6: cost 0 inf + 1052 185.728 * [simplify]: Simplified to (/ (sqrt (cbrt (sqrt 2))) a1) 185.728 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (sqrt (cbrt (sqrt 2))) (/ (sqrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.729 * * * * [progress]: [ 584 / 614 ] simplifiying candidate # 185.729 * [simplify]: Simplifying (/ 1 (* (cbrt a1) (cbrt a1))) 185.729 * * [simplify]: iters left: 5 (5 enodes) 185.730 * * [simplify]: iters left: 4 (19 enodes) 185.733 * * [simplify]: iters left: 3 (23 enodes) 185.737 * * [simplify]: Extracting #0: cost 1 inf + 0 185.737 * * [simplify]: Extracting #1: cost 6 inf + 0 185.737 * * [simplify]: Extracting #2: cost 9 inf + 1 185.737 * * [simplify]: Extracting #3: cost 1 inf + 852 185.737 * * [simplify]: Extracting #4: cost 0 inf + 974 185.737 * [simplify]: Simplified to (/ 1 (* (cbrt a1) (cbrt a1))) 185.737 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.737 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (cbrt a1)) 185.738 * * [simplify]: iters left: 4 (6 enodes) 185.739 * * [simplify]: iters left: 3 (18 enodes) 185.743 * * [simplify]: Extracting #0: cost 1 inf + 0 185.744 * * [simplify]: Extracting #1: cost 4 inf + 0 185.744 * * [simplify]: Extracting #2: cost 8 inf + 0 185.744 * * [simplify]: Extracting #3: cost 7 inf + 163 185.744 * * [simplify]: Extracting #4: cost 6 inf + 164 185.744 * * [simplify]: Extracting #5: cost 0 inf + 972 185.744 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (cbrt a1)) 185.744 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (* (cbrt a1) (cbrt a1))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.744 * * * * [progress]: [ 585 / 614 ] simplifiying candidate # 185.744 * [simplify]: Simplifying (/ 1 (sqrt a1)) 185.744 * * [simplify]: iters left: 3 (4 enodes) 185.746 * * [simplify]: iters left: 2 (14 enodes) 185.748 * * [simplify]: iters left: 1 (16 enodes) 185.751 * * [simplify]: Extracting #0: cost 1 inf + 0 185.751 * * [simplify]: Extracting #1: cost 4 inf + 0 185.751 * * [simplify]: Extracting #2: cost 5 inf + 1 185.751 * * [simplify]: Extracting #3: cost 3 inf + 43 185.751 * * [simplify]: Extracting #4: cost 1 inf + 166 185.751 * * [simplify]: Extracting #5: cost 0 inf + 248 185.751 * [simplify]: Simplified to (/ 1 (sqrt a1)) 185.751 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.751 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) (sqrt a1)) 185.751 * * [simplify]: iters left: 4 (6 enodes) 185.753 * * [simplify]: iters left: 3 (18 enodes) 185.756 * * [simplify]: Extracting #0: cost 1 inf + 0 185.756 * * [simplify]: Extracting #1: cost 4 inf + 0 185.756 * * [simplify]: Extracting #2: cost 8 inf + 0 185.756 * * [simplify]: Extracting #3: cost 7 inf + 83 185.756 * * [simplify]: Extracting #4: cost 6 inf + 84 185.756 * * [simplify]: Extracting #5: cost 0 inf + 812 185.756 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) (sqrt a1)) 185.756 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (/ 1 (sqrt a1)) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.756 * * * * [progress]: [ 586 / 614 ] simplifiying candidate # 185.757 * [simplify]: Simplifying (/ 1 1) 185.757 * * [simplify]: iters left: 2 (2 enodes) 185.757 * * [simplify]: iters left: 1 (6 enodes) 185.759 * * [simplify]: Extracting #0: cost 1 inf + 0 185.759 * * [simplify]: Extracting #1: cost 0 inf + 1 185.759 * [simplify]: Simplified to 1 185.759 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.759 * [simplify]: Simplifying (/ (cbrt (sqrt 2)) a1) 185.759 * * [simplify]: iters left: 4 (5 enodes) 185.760 * * [simplify]: iters left: 3 (15 enodes) 185.763 * * [simplify]: Extracting #0: cost 1 inf + 0 185.763 * * [simplify]: Extracting #1: cost 4 inf + 0 185.763 * * [simplify]: Extracting #2: cost 5 inf + 1 185.763 * * [simplify]: Extracting #3: cost 7 inf + 1 185.763 * * [simplify]: Extracting #4: cost 6 inf + 2 185.763 * * [simplify]: Extracting #5: cost 0 inf + 650 185.763 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 185.763 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* 1 (/ (cbrt (sqrt 2)) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.763 * * * * [progress]: [ 587 / 614 ] simplifiying candidate # 185.763 * * * * [progress]: [ 588 / 614 ] simplifiying candidate # 185.763 * * * * [progress]: [ 589 / 614 ] simplifiying candidate # 185.763 * * * * [progress]: [ 590 / 614 ] simplifiying candidate # 185.764 * [simplify]: Simplifying (cbrt a1) 185.764 * * [simplify]: iters left: 1 (2 enodes) 185.764 * * [simplify]: Extracting #0: cost 1 inf + 0 185.764 * * [simplify]: Extracting #1: cost 3 inf + 0 185.764 * * [simplify]: Extracting #2: cost 2 inf + 1 185.764 * * [simplify]: Extracting #3: cost 0 inf + 163 185.764 * [simplify]: Simplified to (cbrt a1) 185.764 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (/ (cbrt (sqrt 2)) (* (cbrt a1) (cbrt a1))) (cbrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.764 * * * * [progress]: [ 591 / 614 ] simplifiying candidate # 185.764 * [simplify]: Simplifying (sqrt a1) 185.764 * * [simplify]: iters left: 1 (2 enodes) 185.765 * * [simplify]: Extracting #0: cost 1 inf + 0 185.765 * * [simplify]: Extracting #1: cost 3 inf + 0 185.765 * * [simplify]: Extracting #2: cost 2 inf + 1 185.765 * * [simplify]: Extracting #3: cost 0 inf + 83 185.765 * [simplify]: Simplified to (sqrt a1) 185.765 * [simplify]: Simplified (2 1 2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (/ (cbrt (sqrt 2)) (sqrt a1)) (sqrt a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.765 * * * * [progress]: [ 592 / 614 ] simplifiying candidate # 185.765 * * * * [progress]: [ 593 / 614 ] simplifiying candidate # 185.765 * [simplify]: Simplifying (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 185.765 * * [simplify]: iters left: 5 (5 enodes) 185.767 * * [simplify]: iters left: 4 (15 enodes) 185.769 * * [simplify]: Extracting #0: cost 1 inf + 0 185.769 * * [simplify]: Extracting #1: cost 3 inf + 0 185.769 * * [simplify]: Extracting #2: cost 5 inf + 0 185.769 * * [simplify]: Extracting #3: cost 7 inf + 0 185.769 * * [simplify]: Extracting #4: cost 9 inf + 0 185.769 * * [simplify]: Extracting #5: cost 8 inf + 1 185.770 * * [simplify]: Extracting #6: cost 0 inf + 1129 185.770 * [simplify]: Simplified to (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 185.770 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.770 * * * * [progress]: [ 594 / 614 ] simplifiying candidate # 185.770 * [simplify]: Simplifying (cbrt (sqrt (* (cbrt 2) (cbrt 2)))) 185.770 * * [simplify]: iters left: 5 (5 enodes) 185.772 * * [simplify]: iters left: 4 (16 enodes) 185.774 * * [simplify]: Extracting #0: cost 1 inf + 0 185.774 * * [simplify]: Extracting #1: cost 3 inf + 0 185.774 * * [simplify]: Extracting #2: cost 6 inf + 0 185.774 * * [simplify]: Extracting #3: cost 9 inf + 0 185.774 * * [simplify]: Extracting #4: cost 8 inf + 1 185.775 * * [simplify]: Extracting #5: cost 0 inf + 1049 185.775 * [simplify]: Simplified to (cbrt (fabs (cbrt 2))) 185.775 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (fabs (cbrt 2))) (/ a1 (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.775 * * * * [progress]: [ 595 / 614 ] simplifiying candidate # 185.775 * [simplify]: Simplifying (cbrt (sqrt (sqrt 2))) 185.775 * * [simplify]: iters left: 3 (4 enodes) 185.776 * * [simplify]: iters left: 2 (12 enodes) 185.778 * * [simplify]: Extracting #0: cost 1 inf + 0 185.778 * * [simplify]: Extracting #1: cost 3 inf + 0 185.778 * * [simplify]: Extracting #2: cost 5 inf + 0 185.778 * * [simplify]: Extracting #3: cost 7 inf + 0 185.778 * * [simplify]: Extracting #4: cost 6 inf + 1 185.779 * * [simplify]: Extracting #5: cost 0 inf + 567 185.779 * [simplify]: Simplified to (cbrt (sqrt (sqrt 2))) 185.779 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.779 * * * * [progress]: [ 596 / 614 ] simplifiying candidate # 185.779 * [simplify]: Simplifying (cbrt (sqrt 1)) 185.779 * * [simplify]: iters left: 2 (3 enodes) 185.783 * * [simplify]: iters left: 1 (11 enodes) 185.786 * * [simplify]: Extracting #0: cost 1 inf + 0 185.786 * * [simplify]: Extracting #1: cost 0 inf + 1 185.786 * [simplify]: Simplified to 1 185.786 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.786 * * * * [progress]: [ 597 / 614 ] simplifiying candidate # 185.787 * [simplify]: Simplifying (cbrt (sqrt (sqrt 2))) 185.787 * * [simplify]: iters left: 3 (4 enodes) 185.790 * * [simplify]: iters left: 2 (12 enodes) 185.794 * * [simplify]: Extracting #0: cost 1 inf + 0 185.794 * * [simplify]: Extracting #1: cost 3 inf + 0 185.794 * * [simplify]: Extracting #2: cost 5 inf + 0 185.794 * * [simplify]: Extracting #3: cost 7 inf + 0 185.794 * * [simplify]: Extracting #4: cost 6 inf + 1 185.795 * * [simplify]: Extracting #5: cost 0 inf + 567 185.795 * [simplify]: Simplified to (cbrt (sqrt (sqrt 2))) 185.795 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (sqrt 2))) (/ a1 (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.795 * * * * [progress]: [ 598 / 614 ] simplifiying candidate # 185.795 * [simplify]: Simplifying (cbrt 1) 185.795 * * [simplify]: iters left: 1 (2 enodes) 185.798 * * [simplify]: Extracting #0: cost 1 inf + 0 185.798 * * [simplify]: Extracting #1: cost 0 inf + 1 185.798 * [simplify]: Simplified to 1 185.798 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 (/ a1 (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.799 * * * * [progress]: [ 599 / 614 ] simplifiying candidate # 185.799 * [simplify]: Simplifying (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 185.799 * * [simplify]: iters left: 5 (5 enodes) 185.802 * * [simplify]: iters left: 4 (15 enodes) 185.807 * * [simplify]: Extracting #0: cost 1 inf + 0 185.807 * * [simplify]: Extracting #1: cost 3 inf + 0 185.807 * * [simplify]: Extracting #2: cost 5 inf + 0 185.807 * * [simplify]: Extracting #3: cost 7 inf + 0 185.807 * * [simplify]: Extracting #4: cost 9 inf + 0 185.807 * * [simplify]: Extracting #5: cost 8 inf + 1 185.807 * * [simplify]: Extracting #6: cost 0 inf + 1209 185.808 * [simplify]: Simplified to (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 185.808 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.808 * * * * [progress]: [ 600 / 614 ] simplifiying candidate # 185.808 * [simplify]: Simplifying (sqrt (cbrt (sqrt 2))) 185.808 * * [simplify]: iters left: 3 (4 enodes) 185.811 * * [simplify]: iters left: 2 (12 enodes) 185.814 * * [simplify]: Extracting #0: cost 1 inf + 0 185.814 * * [simplify]: Extracting #1: cost 3 inf + 0 185.814 * * [simplify]: Extracting #2: cost 5 inf + 0 185.814 * * [simplify]: Extracting #3: cost 7 inf + 0 185.814 * * [simplify]: Extracting #4: cost 6 inf + 1 185.814 * * [simplify]: Extracting #5: cost 0 inf + 647 185.814 * [simplify]: Simplified to (sqrt (cbrt (sqrt 2))) 185.814 * [simplify]: Simplified (2 1 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (sqrt 2))) (/ a1 (sqrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 185.815 * * * * [progress]: [ 601 / 614 ] simplifiying candidate # 185.815 * * * * [progress]: [ 602 / 614 ] simplifiying candidate #real (real->posit16 (/ (cbrt (sqrt 2)) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 185.815 * * * * [progress]: [ 603 / 614 ] simplifiying candidate # 185.815 * [simplify]: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 185.815 * * [simplify]: iters left: 6 (16 enodes) 185.821 * * [simplify]: iters left: 5 (68 enodes) 185.833 * * [simplify]: iters left: 4 (109 enodes) 185.860 * * [simplify]: iters left: 3 (160 enodes) 185.891 * * [simplify]: iters left: 2 (241 enodes) 185.967 * * [simplify]: iters left: 1 (382 enodes) 186.074 * * [simplify]: Extracting #0: cost 1 inf + 0 186.074 * * [simplify]: Extracting #1: cost 16 inf + 0 186.074 * * [simplify]: Extracting #2: cost 88 inf + 0 186.074 * * [simplify]: Extracting #3: cost 130 inf + 90 186.076 * * [simplify]: Extracting #4: cost 80 inf + 4828 186.079 * * [simplify]: Extracting #5: cost 11 inf + 15932 186.084 * * [simplify]: Extracting #6: cost 0 inf + 18367 186.089 * * [simplify]: Extracting #7: cost 0 inf + 18287 186.093 * [simplify]: Simplified to (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) 186.093 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (+ (/ 1 (sqrt 2)) (* (* th (/ th (sqrt 2))) (- (* (* 1/24 th) th) 1/2))) (* a2 a2)))) 186.094 * * * * [progress]: [ 604 / 614 ] simplifiying candidate # 186.094 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 186.094 * * [simplify]: iters left: 3 (5 enodes) 186.097 * * [simplify]: iters left: 2 (15 enodes) 186.104 * * [simplify]: Extracting #0: cost 1 inf + 0 186.104 * * [simplify]: Extracting #1: cost 4 inf + 0 186.104 * * [simplify]: Extracting #2: cost 8 inf + 0 186.104 * * [simplify]: Extracting #3: cost 4 inf + 84 186.104 * * [simplify]: Extracting #4: cost 0 inf + 490 186.104 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 186.104 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.105 * * * * [progress]: [ 605 / 614 ] simplifiying candidate # 186.105 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 186.105 * * [simplify]: iters left: 3 (5 enodes) 186.108 * * [simplify]: iters left: 2 (15 enodes) 186.113 * * [simplify]: Extracting #0: cost 1 inf + 0 186.113 * * [simplify]: Extracting #1: cost 4 inf + 0 186.113 * * [simplify]: Extracting #2: cost 8 inf + 0 186.113 * * [simplify]: Extracting #3: cost 4 inf + 84 186.113 * * [simplify]: Extracting #4: cost 0 inf + 490 186.113 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 186.114 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.114 * * * * [progress]: [ 606 / 614 ] simplifiying candidate # 186.114 * [simplify]: Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 186.114 * * [simplify]: iters left: 6 (12 enodes) 186.122 * * [simplify]: iters left: 5 (52 enodes) 186.140 * * [simplify]: iters left: 4 (104 enodes) 186.186 * * [simplify]: iters left: 3 (254 enodes) 186.277 * * [simplify]: Extracting #0: cost 1 inf + 0 186.277 * * [simplify]: Extracting #1: cost 5 inf + 0 186.278 * * [simplify]: Extracting #2: cost 89 inf + 0 186.278 * * [simplify]: Extracting #3: cost 176 inf + 45 186.280 * * [simplify]: Extracting #4: cost 103 inf + 7976 186.285 * * [simplify]: Extracting #5: cost 11 inf + 21237 186.291 * * [simplify]: Extracting #6: cost 0 inf + 23114 186.300 * [simplify]: Simplified to (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))) 186.300 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))))) 186.300 * * * * [progress]: [ 607 / 614 ] simplifiying candidate # 186.300 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 186.301 * * [simplify]: iters left: 5 (8 enodes) 186.306 * * [simplify]: iters left: 4 (32 enodes) 186.316 * * [simplify]: iters left: 3 (48 enodes) 186.331 * * [simplify]: iters left: 2 (69 enodes) 186.350 * * [simplify]: iters left: 1 (85 enodes) 186.374 * * [simplify]: Extracting #0: cost 1 inf + 0 186.374 * * [simplify]: Extracting #1: cost 17 inf + 0 186.375 * * [simplify]: Extracting #2: cost 30 inf + 42 186.375 * * [simplify]: Extracting #3: cost 25 inf + 288 186.376 * * [simplify]: Extracting #4: cost 7 inf + 2485 186.377 * * [simplify]: Extracting #5: cost 0 inf + 3461 186.379 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 186.379 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 186.379 * * * * [progress]: [ 608 / 614 ] simplifiying candidate # 186.379 * [simplify]: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) 186.380 * * [simplify]: iters left: 5 (8 enodes) 186.384 * * [simplify]: iters left: 4 (32 enodes) 186.396 * * [simplify]: iters left: 3 (48 enodes) 186.414 * * [simplify]: iters left: 2 (69 enodes) 186.435 * * [simplify]: iters left: 1 (85 enodes) 186.458 * * [simplify]: Extracting #0: cost 1 inf + 0 186.458 * * [simplify]: Extracting #1: cost 17 inf + 0 186.458 * * [simplify]: Extracting #2: cost 30 inf + 42 186.459 * * [simplify]: Extracting #3: cost 25 inf + 288 186.459 * * [simplify]: Extracting #4: cost 7 inf + 2485 186.461 * * [simplify]: Extracting #5: cost 0 inf + 3461 186.462 * [simplify]: Simplified to (* a2 (/ (* a2 (cos th)) (sqrt 2))) 186.462 * [simplify]: Simplified (2 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* a2 (/ (* a2 (cos th)) (sqrt 2))))) 186.462 * * * * [progress]: [ 609 / 614 ] simplifiying candidate # 186.463 * [simplify]: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 186.463 * * [simplify]: iters left: 6 (12 enodes) 186.470 * * [simplify]: iters left: 5 (52 enodes) 186.482 * * [simplify]: iters left: 4 (104 enodes) 186.503 * * [simplify]: iters left: 3 (254 enodes) 186.584 * * [simplify]: Extracting #0: cost 1 inf + 0 186.584 * * [simplify]: Extracting #1: cost 5 inf + 0 186.584 * * [simplify]: Extracting #2: cost 89 inf + 0 186.584 * * [simplify]: Extracting #3: cost 176 inf + 45 186.586 * * [simplify]: Extracting #4: cost 103 inf + 7976 186.591 * * [simplify]: Extracting #5: cost 11 inf + 21237 186.597 * * [simplify]: Extracting #6: cost 0 inf + 23114 186.606 * [simplify]: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) 186.606 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.606 * * * * [progress]: [ 610 / 614 ] simplifiying candidate # 186.606 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 186.606 * * [simplify]: iters left: 5 (8 enodes) 186.609 * * [simplify]: iters left: 4 (32 enodes) 186.614 * * [simplify]: iters left: 3 (48 enodes) 186.622 * * [simplify]: iters left: 2 (68 enodes) 186.632 * * [simplify]: iters left: 1 (80 enodes) 186.648 * * [simplify]: Extracting #0: cost 1 inf + 0 186.648 * * [simplify]: Extracting #1: cost 18 inf + 0 186.648 * * [simplify]: Extracting #2: cost 33 inf + 1 186.648 * * [simplify]: Extracting #3: cost 27 inf + 288 186.649 * * [simplify]: Extracting #4: cost 5 inf + 3074 186.650 * * [simplify]: Extracting #5: cost 1 inf + 3705 186.651 * * [simplify]: Extracting #6: cost 0 inf + 3888 186.651 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 186.651 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.651 * * * * [progress]: [ 611 / 614 ] simplifiying candidate # 186.652 * [simplify]: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) 186.652 * * [simplify]: iters left: 5 (8 enodes) 186.654 * * [simplify]: iters left: 4 (32 enodes) 186.660 * * [simplify]: iters left: 3 (48 enodes) 186.667 * * [simplify]: iters left: 2 (68 enodes) 186.676 * * [simplify]: iters left: 1 (80 enodes) 186.697 * * [simplify]: Extracting #0: cost 1 inf + 0 186.697 * * [simplify]: Extracting #1: cost 18 inf + 0 186.697 * * [simplify]: Extracting #2: cost 33 inf + 1 186.697 * * [simplify]: Extracting #3: cost 27 inf + 288 186.698 * * [simplify]: Extracting #4: cost 5 inf + 3074 186.700 * * [simplify]: Extracting #5: cost 1 inf + 3705 186.701 * * [simplify]: Extracting #6: cost 0 inf + 3888 186.703 * [simplify]: Simplified to (/ (* (cos th) a1) (/ (sqrt 2) a1)) 186.703 * [simplify]: Simplified (2 1) to (λ (a1 a2 th) (+ (/ (* (cos th) a1) (/ (sqrt 2) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.703 * * * * [progress]: [ 612 / 614 ] simplifiying candidate # 186.703 * [simplify]: Simplifying (* (/ 1 a1) (pow (sqrt 2) 1/3)) 186.703 * * [simplify]: iters left: 4 (8 enodes) 186.709 * * [simplify]: iters left: 3 (34 enodes) 186.723 * * [simplify]: iters left: 2 (58 enodes) 186.747 * * [simplify]: iters left: 1 (125 enodes) 186.798 * * [simplify]: Extracting #0: cost 1 inf + 0 186.798 * * [simplify]: Extracting #1: cost 20 inf + 0 186.799 * * [simplify]: Extracting #2: cost 50 inf + 2 186.799 * * [simplify]: Extracting #3: cost 46 inf + 91 186.800 * * [simplify]: Extracting #4: cost 34 inf + 2052 186.802 * * [simplify]: Extracting #5: cost 9 inf + 11968 186.805 * * [simplify]: Extracting #6: cost 0 inf + 16325 186.808 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 186.808 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.808 * * * * [progress]: [ 613 / 614 ] simplifiying candidate # 186.808 * [simplify]: Simplifying (* (/ 1 a1) (pow (sqrt 2) 1/3)) 186.808 * * [simplify]: iters left: 4 (8 enodes) 186.814 * * [simplify]: iters left: 3 (34 enodes) 186.823 * * [simplify]: iters left: 2 (58 enodes) 186.839 * * [simplify]: iters left: 1 (125 enodes) 186.867 * * [simplify]: Extracting #0: cost 1 inf + 0 186.867 * * [simplify]: Extracting #1: cost 20 inf + 0 186.867 * * [simplify]: Extracting #2: cost 50 inf + 2 186.867 * * [simplify]: Extracting #3: cost 46 inf + 91 186.868 * * [simplify]: Extracting #4: cost 34 inf + 2052 186.869 * * [simplify]: Extracting #5: cost 9 inf + 11968 186.870 * * [simplify]: Extracting #6: cost 0 inf + 16325 186.872 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 186.872 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.872 * * * * [progress]: [ 614 / 614 ] simplifiying candidate # 186.872 * [simplify]: Simplifying (* (/ 1 a1) (pow (sqrt 2) 1/3)) 186.872 * * [simplify]: iters left: 4 (8 enodes) 186.876 * * [simplify]: iters left: 3 (34 enodes) 186.883 * * [simplify]: iters left: 2 (58 enodes) 186.896 * * [simplify]: iters left: 1 (125 enodes) 186.932 * * [simplify]: Extracting #0: cost 1 inf + 0 186.932 * * [simplify]: Extracting #1: cost 20 inf + 0 186.932 * * [simplify]: Extracting #2: cost 50 inf + 2 186.932 * * [simplify]: Extracting #3: cost 46 inf + 91 186.933 * * [simplify]: Extracting #4: cost 34 inf + 2052 186.934 * * [simplify]: Extracting #5: cost 9 inf + 11968 186.935 * * [simplify]: Extracting #6: cost 0 inf + 16325 186.937 * [simplify]: Simplified to (/ (cbrt (sqrt 2)) a1) 186.937 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 186.938 * * * [progress]: adding candidates to table 196.035 * * [progress]: iteration 4 / 4 196.035 * * * [progress]: picking best candidate 196.091 * * * * [pick]: Picked # 196.091 * * * [progress]: localizing error 196.143 * * * [progress]: generating rewritten candidates 196.143 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 196.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 196.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 196.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 197.027 * * * [progress]: generating series expansions 197.027 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 197.028 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 197.028 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 197.028 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 197.028 * [taylor]: Taking taylor expansion of (cos th) in th 197.028 * [taylor]: Taking taylor expansion of th in th 197.028 * [backup-simplify]: Simplify 0 into 0 197.028 * [backup-simplify]: Simplify 1 into 1 197.028 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.028 * [taylor]: Taking taylor expansion of 2 in th 197.028 * [backup-simplify]: Simplify 2 into 2 197.028 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.029 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.029 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th 197.029 * [taylor]: Taking taylor expansion of (cos th) in th 197.029 * [taylor]: Taking taylor expansion of th in th 197.029 * [backup-simplify]: Simplify 0 into 0 197.029 * [backup-simplify]: Simplify 1 into 1 197.029 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.030 * [taylor]: Taking taylor expansion of 2 in th 197.030 * [backup-simplify]: Simplify 2 into 2 197.030 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.032 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.050 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.051 * [backup-simplify]: Simplify (+ 0) into 0 197.052 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.052 * [backup-simplify]: Simplify 0 into 0 197.054 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 197.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.058 * [backup-simplify]: Simplify (- (/ -1/2 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.061 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.065 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 197.065 * [backup-simplify]: Simplify 0 into 0 197.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 197.069 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.075 * [backup-simplify]: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) 197.076 * [backup-simplify]: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) 197.081 * [backup-simplify]: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) 197.082 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.082 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 197.082 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 197.082 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.082 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.082 * [taylor]: Taking taylor expansion of th in th 197.082 * [backup-simplify]: Simplify 0 into 0 197.082 * [backup-simplify]: Simplify 1 into 1 197.082 * [backup-simplify]: Simplify (/ 1 1) into 1 197.082 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.082 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.082 * [taylor]: Taking taylor expansion of 2 in th 197.082 * [backup-simplify]: Simplify 2 into 2 197.083 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.084 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.084 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th 197.084 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.084 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.084 * [taylor]: Taking taylor expansion of th in th 197.084 * [backup-simplify]: Simplify 0 into 0 197.084 * [backup-simplify]: Simplify 1 into 1 197.085 * [backup-simplify]: Simplify (/ 1 1) into 1 197.085 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.085 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.085 * [taylor]: Taking taylor expansion of 2 in th 197.085 * [backup-simplify]: Simplify 2 into 2 197.085 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.086 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.087 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.088 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.088 * [backup-simplify]: Simplify 0 into 0 197.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.092 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.092 * [backup-simplify]: Simplify 0 into 0 197.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.096 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.096 * [backup-simplify]: Simplify 0 into 0 197.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.101 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.101 * [backup-simplify]: Simplify 0 into 0 197.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.106 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.106 * [backup-simplify]: Simplify 0 into 0 197.108 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.112 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.112 * [backup-simplify]: Simplify 0 into 0 197.113 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 197.113 * [backup-simplify]: Simplify (/ (cos (/ 1 (- th))) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.113 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in (th) around 0 197.113 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 197.114 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.114 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.114 * [taylor]: Taking taylor expansion of -1 in th 197.114 * [backup-simplify]: Simplify -1 into -1 197.114 * [taylor]: Taking taylor expansion of th in th 197.114 * [backup-simplify]: Simplify 0 into 0 197.114 * [backup-simplify]: Simplify 1 into 1 197.114 * [backup-simplify]: Simplify (/ -1 1) into -1 197.114 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.114 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.114 * [taylor]: Taking taylor expansion of 2 in th 197.114 * [backup-simplify]: Simplify 2 into 2 197.115 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.116 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.116 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2)) in th 197.116 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.116 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.116 * [taylor]: Taking taylor expansion of -1 in th 197.116 * [backup-simplify]: Simplify -1 into -1 197.116 * [taylor]: Taking taylor expansion of th in th 197.116 * [backup-simplify]: Simplify 0 into 0 197.116 * [backup-simplify]: Simplify 1 into 1 197.117 * [backup-simplify]: Simplify (/ -1 1) into -1 197.117 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.117 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.117 * [taylor]: Taking taylor expansion of 2 in th 197.117 * [backup-simplify]: Simplify 2 into 2 197.117 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.118 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.119 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.120 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.120 * [backup-simplify]: Simplify 0 into 0 197.121 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.124 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.124 * [backup-simplify]: Simplify 0 into 0 197.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.128 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.128 * [backup-simplify]: Simplify 0 into 0 197.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.133 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.133 * [backup-simplify]: Simplify 0 into 0 197.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.138 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.138 * [backup-simplify]: Simplify 0 into 0 197.138 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.141 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.141 * [backup-simplify]: Simplify 0 into 0 197.142 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) 197.142 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 197.146 * [backup-simplify]: Simplify (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) into (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.146 * [approximate]: Taking taylor expansion of (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in (th a1) around 0 197.146 * [taylor]: Taking taylor expansion of (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.146 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in a1 197.146 * [taylor]: Taking taylor expansion of a1 in a1 197.146 * [backup-simplify]: Simplify 0 into 0 197.146 * [backup-simplify]: Simplify 1 into 1 197.146 * [taylor]: Taking taylor expansion of (cos th) in a1 197.146 * [taylor]: Taking taylor expansion of th in a1 197.146 * [backup-simplify]: Simplify th into th 197.146 * [backup-simplify]: Simplify (cos th) into (cos th) 197.146 * [backup-simplify]: Simplify (sin th) into (sin th) 197.146 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.146 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.146 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.146 * [taylor]: Taking taylor expansion of 1/9 in a1 197.146 * [backup-simplify]: Simplify 1/9 into 1/9 197.146 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.147 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.147 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.147 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.147 * [taylor]: Taking taylor expansion of 2 in a1 197.147 * [backup-simplify]: Simplify 2 into 2 197.147 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.148 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.149 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.151 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.152 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.153 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.156 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.158 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.158 * [taylor]: Taking taylor expansion of (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.158 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 197.158 * [taylor]: Taking taylor expansion of a1 in th 197.158 * [backup-simplify]: Simplify a1 into a1 197.158 * [taylor]: Taking taylor expansion of (cos th) in th 197.158 * [taylor]: Taking taylor expansion of th in th 197.158 * [backup-simplify]: Simplify 0 into 0 197.158 * [backup-simplify]: Simplify 1 into 1 197.158 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.158 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.158 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.158 * [taylor]: Taking taylor expansion of 1/9 in th 197.158 * [backup-simplify]: Simplify 1/9 into 1/9 197.159 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.159 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.159 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.159 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.159 * [taylor]: Taking taylor expansion of 2 in th 197.159 * [backup-simplify]: Simplify 2 into 2 197.159 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.160 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.161 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.163 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.164 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.165 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.168 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.176 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.176 * [taylor]: Taking taylor expansion of (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.176 * [taylor]: Taking taylor expansion of (* a1 (cos th)) in th 197.176 * [taylor]: Taking taylor expansion of a1 in th 197.176 * [backup-simplify]: Simplify a1 into a1 197.176 * [taylor]: Taking taylor expansion of (cos th) in th 197.176 * [taylor]: Taking taylor expansion of th in th 197.176 * [backup-simplify]: Simplify 0 into 0 197.176 * [backup-simplify]: Simplify 1 into 1 197.176 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.176 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.176 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.177 * [taylor]: Taking taylor expansion of 1/9 in th 197.177 * [backup-simplify]: Simplify 1/9 into 1/9 197.177 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.177 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.177 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.177 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.177 * [taylor]: Taking taylor expansion of 2 in th 197.177 * [backup-simplify]: Simplify 2 into 2 197.177 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.179 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.181 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.183 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.185 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.188 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.191 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.196 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.196 * [backup-simplify]: Simplify (* a1 1) into a1 197.198 * [backup-simplify]: Simplify (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.198 * [taylor]: Taking taylor expansion of (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.198 * [taylor]: Taking taylor expansion of a1 in a1 197.198 * [backup-simplify]: Simplify 0 into 0 197.198 * [backup-simplify]: Simplify 1 into 1 197.198 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.198 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.198 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.198 * [taylor]: Taking taylor expansion of 1/9 in a1 197.198 * [backup-simplify]: Simplify 1/9 into 1/9 197.198 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.198 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.198 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.198 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.198 * [taylor]: Taking taylor expansion of 2 in a1 197.198 * [backup-simplify]: Simplify 2 into 2 197.199 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.200 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.201 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.203 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.204 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.205 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.207 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.210 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.211 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into 0 197.211 * [backup-simplify]: Simplify 0 into 0 197.211 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.212 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.212 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.215 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.217 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.217 * [backup-simplify]: Simplify (+ 0) into 0 197.217 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 1)) into 0 197.218 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into 0 197.218 * [taylor]: Taking taylor expansion of 0 in a1 197.218 * [backup-simplify]: Simplify 0 into 0 197.218 * [backup-simplify]: Simplify 0 into 0 197.218 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.219 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.219 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.222 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.224 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.228 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.230 * [backup-simplify]: Simplify (pow (/ 1 (pow (sqrt 2) 8)) 1/9) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.232 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.233 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.234 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.235 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.241 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.243 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.246 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 197.247 * [backup-simplify]: Simplify (+ (* a1 -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 a1)) 197.249 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* (- (* 1/2 a1)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into (- (* 1/2 (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) 197.249 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) in a1 197.249 * [taylor]: Taking taylor expansion of (* 1/2 (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in a1 197.249 * [taylor]: Taking taylor expansion of 1/2 in a1 197.249 * [backup-simplify]: Simplify 1/2 into 1/2 197.249 * [taylor]: Taking taylor expansion of (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.249 * [taylor]: Taking taylor expansion of a1 in a1 197.249 * [backup-simplify]: Simplify 0 into 0 197.249 * [backup-simplify]: Simplify 1 into 1 197.249 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.249 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.249 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.249 * [taylor]: Taking taylor expansion of 1/9 in a1 197.249 * [backup-simplify]: Simplify 1/9 into 1/9 197.249 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.249 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.249 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.249 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.249 * [taylor]: Taking taylor expansion of 2 in a1 197.249 * [backup-simplify]: Simplify 2 into 2 197.249 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.250 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.252 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.254 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.254 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.256 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.258 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.261 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.261 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into 0 197.262 * [backup-simplify]: Simplify (* 1/2 0) into 0 197.262 * [backup-simplify]: Simplify (- 0) into 0 197.262 * [backup-simplify]: Simplify 0 into 0 197.262 * [backup-simplify]: Simplify 0 into 0 197.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.263 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.264 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.265 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.268 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.269 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.270 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.272 * [backup-simplify]: Simplify 0 into 0 197.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.273 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.274 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.276 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.286 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.289 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.292 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.293 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.295 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 197.296 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* (- (* 1/2 a1)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.296 * [taylor]: Taking taylor expansion of 0 in a1 197.296 * [backup-simplify]: Simplify 0 into 0 197.296 * [backup-simplify]: Simplify 0 into 0 197.297 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.298 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.299 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.305 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.306 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.313 * [backup-simplify]: Simplify (+ (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) (* 0 0)) into (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.316 * [backup-simplify]: Simplify (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) 197.319 * [backup-simplify]: Simplify (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) 197.319 * [backup-simplify]: Simplify 0 into 0 197.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.320 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.321 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.322 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.326 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.328 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.330 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.331 * [backup-simplify]: Simplify 0 into 0 197.332 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.332 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 197.333 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))))) into 0 197.335 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))))) into 0 197.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.350 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1 (pow (sqrt 2) 8)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 24) into 0 197.353 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))))) into 0 197.358 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.361 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 197.362 * [backup-simplify]: Simplify (+ (* a1 1/24) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1))))) into (* 1/24 a1) 197.366 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* (- (* 1/2 a1)) 0) (+ (* 0 0) (* (* 1/24 a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))))) into (* 1/24 (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) 197.366 * [taylor]: Taking taylor expansion of (* 1/24 (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in a1 197.366 * [taylor]: Taking taylor expansion of 1/24 in a1 197.366 * [backup-simplify]: Simplify 1/24 into 1/24 197.366 * [taylor]: Taking taylor expansion of (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.366 * [taylor]: Taking taylor expansion of a1 in a1 197.366 * [backup-simplify]: Simplify 0 into 0 197.366 * [backup-simplify]: Simplify 1 into 1 197.366 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.366 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.366 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.366 * [taylor]: Taking taylor expansion of 1/9 in a1 197.366 * [backup-simplify]: Simplify 1/9 into 1/9 197.366 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.366 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.367 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.367 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.367 * [taylor]: Taking taylor expansion of 2 in a1 197.367 * [backup-simplify]: Simplify 2 into 2 197.367 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.369 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.371 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.374 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.375 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.376 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.378 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.381 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.382 * [backup-simplify]: Simplify (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into 0 197.382 * [backup-simplify]: Simplify (* 1/24 0) into 0 197.382 * [backup-simplify]: Simplify 0 into 0 197.382 * [backup-simplify]: Simplify 0 into 0 197.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.383 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.384 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.385 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.388 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.389 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.390 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) (* 0 0))) into 0 197.395 * [backup-simplify]: Simplify (- 0) into 0 197.395 * [backup-simplify]: Simplify 0 into 0 197.395 * [backup-simplify]: Simplify 0 into 0 197.400 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) (* a1 (pow th 2))) (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (* a1 1))) into (- (* a1 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) (* 1/2 (* (* a1 (pow th 2)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) 197.404 * [backup-simplify]: Simplify (/ (/ (* (cos (/ 1 th)) (/ 1 a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) into (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.405 * [approximate]: Taking taylor expansion of (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in (th a1) around 0 197.405 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.405 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in a1 197.405 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 197.405 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 197.405 * [taylor]: Taking taylor expansion of th in a1 197.405 * [backup-simplify]: Simplify th into th 197.405 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.405 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.405 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.405 * [taylor]: Taking taylor expansion of a1 in a1 197.405 * [backup-simplify]: Simplify 0 into 0 197.405 * [backup-simplify]: Simplify 1 into 1 197.405 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.405 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.405 * [backup-simplify]: Simplify (- 0) into 0 197.405 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.405 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.405 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.405 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.405 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.405 * [taylor]: Taking taylor expansion of 1/9 in a1 197.405 * [backup-simplify]: Simplify 1/9 into 1/9 197.405 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.405 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.405 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.406 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.406 * [taylor]: Taking taylor expansion of 2 in a1 197.406 * [backup-simplify]: Simplify 2 into 2 197.406 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.407 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.408 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.410 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.411 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.412 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.414 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.417 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.417 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.417 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in th 197.417 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.417 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.417 * [taylor]: Taking taylor expansion of th in th 197.417 * [backup-simplify]: Simplify 0 into 0 197.417 * [backup-simplify]: Simplify 1 into 1 197.417 * [backup-simplify]: Simplify (/ 1 1) into 1 197.417 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.418 * [taylor]: Taking taylor expansion of a1 in th 197.418 * [backup-simplify]: Simplify a1 into a1 197.418 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) a1) into (/ (cos (/ 1 th)) a1) 197.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.418 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.418 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.418 * [taylor]: Taking taylor expansion of 1/9 in th 197.418 * [backup-simplify]: Simplify 1/9 into 1/9 197.418 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.418 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.418 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.418 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.418 * [taylor]: Taking taylor expansion of 2 in th 197.418 * [backup-simplify]: Simplify 2 into 2 197.418 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.420 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.422 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.425 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.426 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.428 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.430 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.433 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.433 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.433 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in th 197.433 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.433 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.433 * [taylor]: Taking taylor expansion of th in th 197.433 * [backup-simplify]: Simplify 0 into 0 197.433 * [backup-simplify]: Simplify 1 into 1 197.433 * [backup-simplify]: Simplify (/ 1 1) into 1 197.433 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.433 * [taylor]: Taking taylor expansion of a1 in th 197.433 * [backup-simplify]: Simplify a1 into a1 197.433 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) a1) into (/ (cos (/ 1 th)) a1) 197.433 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.433 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.433 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.433 * [taylor]: Taking taylor expansion of 1/9 in th 197.433 * [backup-simplify]: Simplify 1/9 into 1/9 197.433 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.433 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.433 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.433 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.434 * [taylor]: Taking taylor expansion of 2 in th 197.434 * [backup-simplify]: Simplify 2 into 2 197.434 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.435 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.436 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.438 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.439 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.440 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.442 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.445 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.447 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.447 * [taylor]: Taking taylor expansion of (* (/ (cos (/ 1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.447 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) a1) in a1 197.447 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 197.447 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 197.447 * [taylor]: Taking taylor expansion of th in a1 197.447 * [backup-simplify]: Simplify th into th 197.447 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.447 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.447 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.447 * [taylor]: Taking taylor expansion of a1 in a1 197.447 * [backup-simplify]: Simplify 0 into 0 197.447 * [backup-simplify]: Simplify 1 into 1 197.447 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.447 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.447 * [backup-simplify]: Simplify (- 0) into 0 197.448 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.448 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.448 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.448 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.448 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.448 * [taylor]: Taking taylor expansion of 1/9 in a1 197.448 * [backup-simplify]: Simplify 1/9 into 1/9 197.448 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.448 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.448 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.448 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.448 * [taylor]: Taking taylor expansion of 2 in a1 197.448 * [backup-simplify]: Simplify 2 into 2 197.448 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.449 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.451 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.452 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.453 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.455 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.459 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.463 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.466 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.468 * [backup-simplify]: Simplify (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.469 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.470 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.471 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.477 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.480 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.480 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ 1 th)) a1) (/ 0 a1)))) into 0 197.481 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 th)) a1) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into 0 197.481 * [taylor]: Taking taylor expansion of 0 in a1 197.481 * [backup-simplify]: Simplify 0 into 0 197.482 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.483 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.484 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.489 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.491 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.491 * [backup-simplify]: Simplify (+ 0) into 0 197.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 197.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 197.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 197.492 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 197.492 * [backup-simplify]: Simplify (- 0) into 0 197.493 * [backup-simplify]: Simplify (+ 0 0) into 0 197.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) into 0 197.494 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into 0 197.494 * [backup-simplify]: Simplify 0 into 0 197.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.495 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.496 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.499 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.503 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.504 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.505 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ 1 th)) a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 197.506 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 th)) a1) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.506 * [taylor]: Taking taylor expansion of 0 in a1 197.506 * [backup-simplify]: Simplify 0 into 0 197.506 * [backup-simplify]: Simplify 0 into 0 197.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.507 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.508 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.508 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.512 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.514 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 197.515 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 197.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 197.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 197.516 * [backup-simplify]: Simplify (- 0) into 0 197.516 * [backup-simplify]: Simplify (+ 0 0) into 0 197.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 197.518 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.518 * [backup-simplify]: Simplify 0 into 0 197.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.519 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.520 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.521 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.529 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.531 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.535 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.535 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ 1 th)) a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 197.537 * [backup-simplify]: Simplify (+ (* (/ (cos (/ 1 th)) a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.537 * [taylor]: Taking taylor expansion of 0 in a1 197.537 * [backup-simplify]: Simplify 0 into 0 197.537 * [backup-simplify]: Simplify 0 into 0 197.537 * [backup-simplify]: Simplify 0 into 0 197.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.539 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.540 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.540 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.545 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.546 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.548 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.549 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.549 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 197.551 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 197.551 * [backup-simplify]: Simplify (- 0) into 0 197.551 * [backup-simplify]: Simplify (+ 0 0) into 0 197.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 197.554 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.554 * [backup-simplify]: Simplify 0 into 0 197.555 * [backup-simplify]: Simplify (* (* (cos (/ 1 (/ 1 th))) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) (* (/ 1 (/ 1 a1)) 1)) into (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.560 * [backup-simplify]: Simplify (/ (/ (* (cos (/ 1 (- th))) (/ 1 (- a1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) into (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) 197.560 * [approximate]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in (th a1) around 0 197.560 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in a1 197.560 * [taylor]: Taking taylor expansion of -1 in a1 197.560 * [backup-simplify]: Simplify -1 into -1 197.560 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.560 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in a1 197.560 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 197.560 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 197.560 * [taylor]: Taking taylor expansion of -1 in a1 197.560 * [backup-simplify]: Simplify -1 into -1 197.560 * [taylor]: Taking taylor expansion of th in a1 197.560 * [backup-simplify]: Simplify th into th 197.560 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 197.560 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.560 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 197.560 * [taylor]: Taking taylor expansion of a1 in a1 197.560 * [backup-simplify]: Simplify 0 into 0 197.560 * [backup-simplify]: Simplify 1 into 1 197.560 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.560 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 197.561 * [backup-simplify]: Simplify (- 0) into 0 197.561 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 197.561 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.561 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.561 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.561 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.561 * [taylor]: Taking taylor expansion of 1/9 in a1 197.561 * [backup-simplify]: Simplify 1/9 into 1/9 197.561 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.561 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.561 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.561 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.561 * [taylor]: Taking taylor expansion of 2 in a1 197.561 * [backup-simplify]: Simplify 2 into 2 197.561 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.562 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.564 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.565 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.567 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.570 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.573 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.578 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.578 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in th 197.578 * [taylor]: Taking taylor expansion of -1 in th 197.578 * [backup-simplify]: Simplify -1 into -1 197.578 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.578 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in th 197.578 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.578 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.578 * [taylor]: Taking taylor expansion of -1 in th 197.578 * [backup-simplify]: Simplify -1 into -1 197.578 * [taylor]: Taking taylor expansion of th in th 197.579 * [backup-simplify]: Simplify 0 into 0 197.579 * [backup-simplify]: Simplify 1 into 1 197.579 * [backup-simplify]: Simplify (/ -1 1) into -1 197.579 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.579 * [taylor]: Taking taylor expansion of a1 in th 197.579 * [backup-simplify]: Simplify a1 into a1 197.579 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) a1) into (/ (cos (/ -1 th)) a1) 197.579 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.579 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.579 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.579 * [taylor]: Taking taylor expansion of 1/9 in th 197.579 * [backup-simplify]: Simplify 1/9 into 1/9 197.579 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.579 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.579 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.580 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.580 * [taylor]: Taking taylor expansion of 2 in th 197.580 * [backup-simplify]: Simplify 2 into 2 197.580 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.582 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.584 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.586 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.588 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.590 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.594 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.599 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.599 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in th 197.599 * [taylor]: Taking taylor expansion of -1 in th 197.599 * [backup-simplify]: Simplify -1 into -1 197.599 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in th 197.599 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in th 197.599 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.599 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.599 * [taylor]: Taking taylor expansion of -1 in th 197.599 * [backup-simplify]: Simplify -1 into -1 197.599 * [taylor]: Taking taylor expansion of th in th 197.599 * [backup-simplify]: Simplify 0 into 0 197.599 * [backup-simplify]: Simplify 1 into 1 197.600 * [backup-simplify]: Simplify (/ -1 1) into -1 197.600 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.600 * [taylor]: Taking taylor expansion of a1 in th 197.600 * [backup-simplify]: Simplify a1 into a1 197.600 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) a1) into (/ (cos (/ -1 th)) a1) 197.600 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in th 197.600 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in th 197.600 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in th 197.600 * [taylor]: Taking taylor expansion of 1/9 in th 197.600 * [backup-simplify]: Simplify 1/9 into 1/9 197.600 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in th 197.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in th 197.600 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in th 197.600 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.600 * [taylor]: Taking taylor expansion of 2 in th 197.600 * [backup-simplify]: Simplify 2 into 2 197.601 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.603 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.607 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.610 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.611 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.614 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.618 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.622 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.625 * [backup-simplify]: Simplify (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.628 * [backup-simplify]: Simplify (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) 197.628 * [taylor]: Taking taylor expansion of (* -1 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) in a1 197.628 * [taylor]: Taking taylor expansion of -1 in a1 197.628 * [backup-simplify]: Simplify -1 into -1 197.628 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) in a1 197.628 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) a1) in a1 197.628 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 197.629 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 197.629 * [taylor]: Taking taylor expansion of -1 in a1 197.629 * [backup-simplify]: Simplify -1 into -1 197.629 * [taylor]: Taking taylor expansion of th in a1 197.629 * [backup-simplify]: Simplify th into th 197.629 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 197.629 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.629 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 197.629 * [taylor]: Taking taylor expansion of a1 in a1 197.629 * [backup-simplify]: Simplify 0 into 0 197.629 * [backup-simplify]: Simplify 1 into 1 197.629 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.629 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 197.630 * [backup-simplify]: Simplify (- 0) into 0 197.630 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 197.630 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.630 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (sqrt 2) 8)) 1/9) in a1 197.630 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) in a1 197.630 * [taylor]: Taking taylor expansion of (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) in a1 197.630 * [taylor]: Taking taylor expansion of 1/9 in a1 197.630 * [backup-simplify]: Simplify 1/9 into 1/9 197.630 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (sqrt 2) 8))) in a1 197.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 2) 8)) in a1 197.630 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 8) in a1 197.630 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.630 * [taylor]: Taking taylor expansion of 2 in a1 197.630 * [backup-simplify]: Simplify 2 into 2 197.630 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.632 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 197.635 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 197.637 * [backup-simplify]: Simplify (* (pow (sqrt 2) 4) (pow (sqrt 2) 4)) into (pow (sqrt 2) 8) 197.639 * [backup-simplify]: Simplify (/ 1 (pow (sqrt 2) 8)) into (/ 1 (pow (sqrt 2) 8)) 197.642 * [backup-simplify]: Simplify (log (/ 1 (pow (sqrt 2) 8))) into (log (/ 1 (pow (sqrt 2) 8))) 197.645 * [backup-simplify]: Simplify (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) into (* 1/9 (log (/ 1 (pow (sqrt 2) 8)))) 197.650 * [backup-simplify]: Simplify (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) into (pow (/ 1 (pow (sqrt 2) 8)) 1/9) 197.653 * [backup-simplify]: Simplify (* (cos (/ -1 th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) into (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th))) 197.656 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th)))) into (* -1 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th)))) 197.659 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th)))) into (* -1 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th)))) 197.660 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.661 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.662 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.667 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.670 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.670 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ -1 th)) a1) (/ 0 a1)))) into 0 197.671 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 th)) a1) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into 0 197.674 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.674 * [taylor]: Taking taylor expansion of 0 in a1 197.674 * [backup-simplify]: Simplify 0 into 0 197.675 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 197.676 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 197.677 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (* 0 (pow (sqrt 2) 4))) into 0 197.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))))) into 0 197.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 1) into 0 197.682 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))) into 0 197.685 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 1) 1)))) into 0 197.685 * [backup-simplify]: Simplify (+ 0) into 0 197.686 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 197.686 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 197.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 197.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 197.688 * [backup-simplify]: Simplify (- 0) into 0 197.688 * [backup-simplify]: Simplify (+ 0 0) into 0 197.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) into 0 197.691 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))) into 0 197.694 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th))))) into 0 197.694 * [backup-simplify]: Simplify 0 into 0 197.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.696 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.697 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.698 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.701 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.702 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.704 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.704 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ -1 th)) a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 197.705 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 th)) a1) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.707 * [taylor]: Taking taylor expansion of 0 in a1 197.707 * [backup-simplify]: Simplify 0 into 0 197.707 * [backup-simplify]: Simplify 0 into 0 197.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.708 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 197.709 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 197.710 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 197.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 2) into 0 197.714 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8)))))) into 0 197.716 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 197.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 197.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 197.717 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 197.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 197.718 * [backup-simplify]: Simplify (- 0) into 0 197.718 * [backup-simplify]: Simplify (+ 0 0) into 0 197.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 197.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))) into 0 197.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th)))))) into 0 197.722 * [backup-simplify]: Simplify 0 into 0 197.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.724 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.724 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.725 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.732 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.734 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.738 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.738 * [backup-simplify]: Simplify (- (/ 0 a1) (+ (* (/ (cos (/ -1 th)) a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 197.740 * [backup-simplify]: Simplify (+ (* (/ (cos (/ -1 th)) a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ (cos (/ -1 th)) a1) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)))))) into 0 197.744 * [taylor]: Taking taylor expansion of 0 in a1 197.744 * [backup-simplify]: Simplify 0 into 0 197.744 * [backup-simplify]: Simplify 0 into 0 197.744 * [backup-simplify]: Simplify 0 into 0 197.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.747 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 197.749 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2))))) into 0 197.750 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4))))) into 0 197.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (sqrt 2) 8)) (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))) (* 0 (/ 0 (pow (sqrt 2) 8))))) into 0 197.758 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (pow (sqrt 2) 8)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (pow (sqrt 2) 8)) 1)))) 6) into 0 197.760 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 (pow (sqrt 2) 8))))))) into 0 197.764 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (/ 1 (pow (sqrt 2) 8))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 197.765 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.767 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.768 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 197.769 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 197.770 * [backup-simplify]: Simplify (- 0) into 0 197.770 * [backup-simplify]: Simplify (+ 0 0) into 0 197.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 197.774 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 8)) 1/9))))) into 0 197.778 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 th))))))) into 0 197.778 * [backup-simplify]: Simplify 0 into 0 197.781 * [backup-simplify]: Simplify (* (* -1 (* (pow (/ 1 (pow (sqrt 2) 8)) 1/9) (cos (/ -1 (/ 1 (- th)))))) (* (/ 1 (/ 1 (- a1))) 1)) into (* (* a1 (cos th)) (pow (/ 1 (pow (sqrt 2) 8)) 1/9)) 197.781 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 197.781 * [backup-simplify]: Simplify (* (/ (cos th) (sqrt 2)) (* a2 a2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 197.781 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in (th a2) around 0 197.781 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in a2 197.781 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 197.781 * [taylor]: Taking taylor expansion of (cos th) in a2 197.781 * [taylor]: Taking taylor expansion of th in a2 197.781 * [backup-simplify]: Simplify th into th 197.781 * [backup-simplify]: Simplify (cos th) into (cos th) 197.781 * [backup-simplify]: Simplify (sin th) into (sin th) 197.781 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.782 * [taylor]: Taking taylor expansion of a2 in a2 197.782 * [backup-simplify]: Simplify 0 into 0 197.782 * [backup-simplify]: Simplify 1 into 1 197.782 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.782 * [taylor]: Taking taylor expansion of 2 in a2 197.782 * [backup-simplify]: Simplify 2 into 2 197.782 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.783 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 197.783 * [backup-simplify]: Simplify (* (sin th) 0) into 0 197.783 * [backup-simplify]: Simplify (- 0) into 0 197.783 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 197.784 * [backup-simplify]: Simplify (* 1 1) into 1 197.784 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 197.784 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 197.784 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 197.784 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 197.784 * [taylor]: Taking taylor expansion of (cos th) in th 197.784 * [taylor]: Taking taylor expansion of th in th 197.784 * [backup-simplify]: Simplify 0 into 0 197.784 * [backup-simplify]: Simplify 1 into 1 197.784 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.784 * [taylor]: Taking taylor expansion of a2 in th 197.784 * [backup-simplify]: Simplify a2 into a2 197.784 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.784 * [taylor]: Taking taylor expansion of 2 in th 197.784 * [backup-simplify]: Simplify 2 into 2 197.785 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.785 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.786 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 197.786 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 197.786 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2)) in th 197.786 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 197.786 * [taylor]: Taking taylor expansion of (cos th) in th 197.786 * [taylor]: Taking taylor expansion of th in th 197.786 * [backup-simplify]: Simplify 0 into 0 197.786 * [backup-simplify]: Simplify 1 into 1 197.786 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.786 * [taylor]: Taking taylor expansion of a2 in th 197.786 * [backup-simplify]: Simplify a2 into a2 197.786 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.786 * [taylor]: Taking taylor expansion of 2 in th 197.786 * [backup-simplify]: Simplify 2 into 2 197.787 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.787 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.787 * [backup-simplify]: Simplify (* 1 (pow a2 2)) into (pow a2 2) 197.788 * [backup-simplify]: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) 197.788 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 197.788 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.788 * [taylor]: Taking taylor expansion of a2 in a2 197.788 * [backup-simplify]: Simplify 0 into 0 197.788 * [backup-simplify]: Simplify 1 into 1 197.788 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.788 * [taylor]: Taking taylor expansion of 2 in a2 197.788 * [backup-simplify]: Simplify 2 into 2 197.789 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.790 * [backup-simplify]: Simplify (* 1 1) into 1 197.790 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.791 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.791 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 197.792 * [backup-simplify]: Simplify (+ 0) into 0 197.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0 197.794 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.794 * [taylor]: Taking taylor expansion of 0 in a2 197.794 * [backup-simplify]: Simplify 0 into 0 197.794 * [backup-simplify]: Simplify 0 into 0 197.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.796 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.796 * [backup-simplify]: Simplify 0 into 0 197.796 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 197.797 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 197.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (pow a2 2)))) into (- (* 1/2 (pow a2 2))) 197.799 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.801 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) 197.801 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 197.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 197.801 * [taylor]: Taking taylor expansion of 1/2 in a2 197.801 * [backup-simplify]: Simplify 1/2 into 1/2 197.801 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 197.801 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.801 * [taylor]: Taking taylor expansion of a2 in a2 197.801 * [backup-simplify]: Simplify 0 into 0 197.801 * [backup-simplify]: Simplify 1 into 1 197.801 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.802 * [taylor]: Taking taylor expansion of 2 in a2 197.802 * [backup-simplify]: Simplify 2 into 2 197.802 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.803 * [backup-simplify]: Simplify (* 1 1) into 1 197.804 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.805 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 197.806 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.808 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.808 * [backup-simplify]: Simplify 0 into 0 197.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 197.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.810 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.810 * [backup-simplify]: Simplify 0 into 0 197.810 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 197.811 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1/2 0) (* 0 (pow a2 2))))) into 0 197.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.814 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 197.814 * [taylor]: Taking taylor expansion of 0 in a2 197.814 * [backup-simplify]: Simplify 0 into 0 197.814 * [backup-simplify]: Simplify 0 into 0 197.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.815 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 197.816 * [backup-simplify]: Simplify (- 0) into 0 197.816 * [backup-simplify]: Simplify 0 into 0 197.816 * [backup-simplify]: Simplify 0 into 0 197.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.819 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.819 * [backup-simplify]: Simplify 0 into 0 197.821 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) 197.822 * [backup-simplify]: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 197.822 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 197.822 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 197.822 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 197.822 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 197.822 * [taylor]: Taking taylor expansion of th in a2 197.822 * [backup-simplify]: Simplify th into th 197.822 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.822 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.822 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.822 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 197.822 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.822 * [taylor]: Taking taylor expansion of 2 in a2 197.822 * [backup-simplify]: Simplify 2 into 2 197.823 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.823 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.823 * [taylor]: Taking taylor expansion of a2 in a2 197.823 * [backup-simplify]: Simplify 0 into 0 197.823 * [backup-simplify]: Simplify 1 into 1 197.823 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.823 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.823 * [backup-simplify]: Simplify (- 0) into 0 197.823 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.824 * [backup-simplify]: Simplify (* 1 1) into 1 197.824 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.824 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.825 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 197.825 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.825 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.825 * [taylor]: Taking taylor expansion of th in th 197.825 * [backup-simplify]: Simplify 0 into 0 197.825 * [backup-simplify]: Simplify 1 into 1 197.825 * [backup-simplify]: Simplify (/ 1 1) into 1 197.825 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.825 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 197.825 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.825 * [taylor]: Taking taylor expansion of 2 in th 197.825 * [backup-simplify]: Simplify 2 into 2 197.825 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.826 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.826 * [taylor]: Taking taylor expansion of a2 in th 197.826 * [backup-simplify]: Simplify a2 into a2 197.826 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.826 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 197.826 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 197.826 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in th 197.826 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.826 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.826 * [taylor]: Taking taylor expansion of th in th 197.826 * [backup-simplify]: Simplify 0 into 0 197.826 * [backup-simplify]: Simplify 1 into 1 197.827 * [backup-simplify]: Simplify (/ 1 1) into 1 197.827 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.827 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 197.827 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.827 * [taylor]: Taking taylor expansion of 2 in th 197.827 * [backup-simplify]: Simplify 2 into 2 197.827 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.828 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.828 * [taylor]: Taking taylor expansion of a2 in th 197.828 * [backup-simplify]: Simplify a2 into a2 197.828 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.828 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 197.828 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) 197.828 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) in a2 197.828 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 197.829 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 197.829 * [taylor]: Taking taylor expansion of th in a2 197.829 * [backup-simplify]: Simplify th into th 197.829 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.829 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.829 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.829 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 197.829 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.829 * [taylor]: Taking taylor expansion of 2 in a2 197.829 * [backup-simplify]: Simplify 2 into 2 197.829 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.829 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.829 * [taylor]: Taking taylor expansion of a2 in a2 197.829 * [backup-simplify]: Simplify 0 into 0 197.829 * [backup-simplify]: Simplify 1 into 1 197.830 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.830 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.830 * [backup-simplify]: Simplify (- 0) into 0 197.830 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.830 * [backup-simplify]: Simplify (* 1 1) into 1 197.831 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.831 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.831 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.831 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 197.832 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 197.833 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.833 * [taylor]: Taking taylor expansion of 0 in a2 197.833 * [backup-simplify]: Simplify 0 into 0 197.833 * [backup-simplify]: Simplify (+ 0) into 0 197.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 197.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 197.834 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 197.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 197.834 * [backup-simplify]: Simplify (- 0) into 0 197.835 * [backup-simplify]: Simplify (+ 0 0) into 0 197.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.836 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 197.836 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.836 * [backup-simplify]: Simplify 0 into 0 197.837 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 197.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.838 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 197.840 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.840 * [taylor]: Taking taylor expansion of 0 in a2 197.840 * [backup-simplify]: Simplify 0 into 0 197.841 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 197.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 197.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.843 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 197.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 197.844 * [backup-simplify]: Simplify (- 0) into 0 197.844 * [backup-simplify]: Simplify (+ 0 0) into 0 197.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 197.846 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.847 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 197.849 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.849 * [backup-simplify]: Simplify 0 into 0 197.850 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 197.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.853 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 197.858 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.858 * [taylor]: Taking taylor expansion of 0 in a2 197.858 * [backup-simplify]: Simplify 0 into 0 197.858 * [backup-simplify]: Simplify 0 into 0 197.859 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 197.862 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 197.862 * [backup-simplify]: Simplify (- 0) into 0 197.862 * [backup-simplify]: Simplify (+ 0 0) into 0 197.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.864 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.866 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.866 * [backup-simplify]: Simplify 0 into 0 197.867 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 197.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.869 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 197.870 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.870 * [taylor]: Taking taylor expansion of 0 in a2 197.870 * [backup-simplify]: Simplify 0 into 0 197.870 * [backup-simplify]: Simplify 0 into 0 197.870 * [backup-simplify]: Simplify 0 into 0 197.871 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 197.871 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 197.871 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in (th a2) around 0 197.871 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 197.871 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 197.871 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 197.871 * [taylor]: Taking taylor expansion of -1 in a2 197.871 * [backup-simplify]: Simplify -1 into -1 197.871 * [taylor]: Taking taylor expansion of th in a2 197.871 * [backup-simplify]: Simplify th into th 197.871 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 197.871 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.871 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 197.871 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 197.871 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.871 * [taylor]: Taking taylor expansion of 2 in a2 197.872 * [backup-simplify]: Simplify 2 into 2 197.872 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.872 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.872 * [taylor]: Taking taylor expansion of a2 in a2 197.872 * [backup-simplify]: Simplify 0 into 0 197.872 * [backup-simplify]: Simplify 1 into 1 197.872 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.872 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 197.873 * [backup-simplify]: Simplify (- 0) into 0 197.873 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 197.873 * [backup-simplify]: Simplify (* 1 1) into 1 197.874 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.874 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.874 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 197.874 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.874 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.874 * [taylor]: Taking taylor expansion of -1 in th 197.874 * [backup-simplify]: Simplify -1 into -1 197.874 * [taylor]: Taking taylor expansion of th in th 197.874 * [backup-simplify]: Simplify 0 into 0 197.874 * [backup-simplify]: Simplify 1 into 1 197.874 * [backup-simplify]: Simplify (/ -1 1) into -1 197.874 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.874 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 197.874 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.874 * [taylor]: Taking taylor expansion of 2 in th 197.874 * [backup-simplify]: Simplify 2 into 2 197.875 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.875 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.875 * [taylor]: Taking taylor expansion of a2 in th 197.875 * [backup-simplify]: Simplify a2 into a2 197.875 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.875 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 197.876 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 197.876 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in th 197.876 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 197.876 * [taylor]: Taking taylor expansion of (/ -1 th) in th 197.876 * [taylor]: Taking taylor expansion of -1 in th 197.876 * [backup-simplify]: Simplify -1 into -1 197.876 * [taylor]: Taking taylor expansion of th in th 197.876 * [backup-simplify]: Simplify 0 into 0 197.876 * [backup-simplify]: Simplify 1 into 1 197.876 * [backup-simplify]: Simplify (/ -1 1) into -1 197.876 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.876 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in th 197.876 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.876 * [taylor]: Taking taylor expansion of 2 in th 197.876 * [backup-simplify]: Simplify 2 into 2 197.877 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.877 * [taylor]: Taking taylor expansion of (pow a2 2) in th 197.877 * [taylor]: Taking taylor expansion of a2 in th 197.877 * [backup-simplify]: Simplify a2 into a2 197.877 * [backup-simplify]: Simplify (* a2 a2) into (pow a2 2) 197.878 * [backup-simplify]: Simplify (* (sqrt 2) (pow a2 2)) into (* (sqrt 2) (pow a2 2)) 197.878 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) into (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) 197.878 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) in a2 197.878 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 197.878 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 197.878 * [taylor]: Taking taylor expansion of -1 in a2 197.878 * [backup-simplify]: Simplify -1 into -1 197.878 * [taylor]: Taking taylor expansion of th in a2 197.878 * [backup-simplify]: Simplify th into th 197.878 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 197.878 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 197.878 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 197.878 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a2 2)) in a2 197.878 * [taylor]: Taking taylor expansion of (sqrt 2) in a2 197.878 * [taylor]: Taking taylor expansion of 2 in a2 197.878 * [backup-simplify]: Simplify 2 into 2 197.878 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.879 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 197.879 * [taylor]: Taking taylor expansion of a2 in a2 197.879 * [backup-simplify]: Simplify 0 into 0 197.879 * [backup-simplify]: Simplify 1 into 1 197.879 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 197.879 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 197.879 * [backup-simplify]: Simplify (- 0) into 0 197.879 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 197.880 * [backup-simplify]: Simplify (* 1 1) into 1 197.880 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.880 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.881 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 197.881 * [backup-simplify]: Simplify (+ (* a2 0) (* 0 a2)) into 0 197.881 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a2 2))) into 0 197.882 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.882 * [taylor]: Taking taylor expansion of 0 in a2 197.882 * [backup-simplify]: Simplify 0 into 0 197.882 * [backup-simplify]: Simplify (+ 0) into 0 197.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 197.883 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 197.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 197.884 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 197.884 * [backup-simplify]: Simplify (- 0) into 0 197.884 * [backup-simplify]: Simplify (+ 0 0) into 0 197.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.885 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 197.886 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.886 * [backup-simplify]: Simplify 0 into 0 197.886 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 197.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.887 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a2 2)))) into 0 197.888 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.888 * [taylor]: Taking taylor expansion of 0 in a2 197.888 * [backup-simplify]: Simplify 0 into 0 197.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 197.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 197.890 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.890 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 197.891 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 197.891 * [backup-simplify]: Simplify (- 0) into 0 197.892 * [backup-simplify]: Simplify (+ 0 0) into 0 197.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 197.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.895 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 197.897 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.897 * [backup-simplify]: Simplify 0 into 0 197.898 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 197.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.900 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2))))) into 0 197.902 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.902 * [taylor]: Taking taylor expansion of 0 in a2 197.902 * [backup-simplify]: Simplify 0 into 0 197.902 * [backup-simplify]: Simplify 0 into 0 197.903 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.904 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.904 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.906 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 197.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 197.907 * [backup-simplify]: Simplify (- 0) into 0 197.907 * [backup-simplify]: Simplify (+ 0 0) into 0 197.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.911 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.913 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.913 * [backup-simplify]: Simplify 0 into 0 197.914 * [backup-simplify]: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) into 0 197.916 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.917 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a2 2)))))) into 0 197.920 * [backup-simplify]: Simplify (- (/ 0 (* (sqrt 2) (pow a2 2))) (+ (* (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 2))) (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))) (* 0 (/ 0 (* (sqrt 2) (pow a2 2)))))) into 0 197.920 * [taylor]: Taking taylor expansion of 0 in a2 197.920 * [backup-simplify]: Simplify 0 into 0 197.920 * [backup-simplify]: Simplify 0 into 0 197.920 * [backup-simplify]: Simplify 0 into 0 197.921 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) 197.921 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 197.930 * [backup-simplify]: Simplify (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 197.930 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in (th a1) around 0 197.930 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in a1 197.930 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 197.930 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 197.930 * [taylor]: Taking taylor expansion of a1 in a1 197.930 * [backup-simplify]: Simplify 0 into 0 197.930 * [backup-simplify]: Simplify 1 into 1 197.930 * [taylor]: Taking taylor expansion of (cos th) in a1 197.930 * [taylor]: Taking taylor expansion of th in a1 197.930 * [backup-simplify]: Simplify th into th 197.930 * [backup-simplify]: Simplify (cos th) into (cos th) 197.930 * [backup-simplify]: Simplify (sin th) into (sin th) 197.930 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.930 * [taylor]: Taking taylor expansion of 2 in a1 197.930 * [backup-simplify]: Simplify 2 into 2 197.931 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.932 * [backup-simplify]: Simplify (* 1 1) into 1 197.932 * [backup-simplify]: Simplify (* (cos th) 1) into (cos th) 197.932 * [backup-simplify]: Simplify (* (sin th) 0) into 0 197.932 * [backup-simplify]: Simplify (- 0) into 0 197.932 * [backup-simplify]: Simplify (+ (cos th) 0) into (cos th) 197.933 * [backup-simplify]: Simplify (* 1 (cos th)) into (cos th) 197.933 * [backup-simplify]: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) 197.933 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 197.933 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 197.933 * [taylor]: Taking taylor expansion of (pow a1 2) in th 197.933 * [taylor]: Taking taylor expansion of a1 in th 197.933 * [backup-simplify]: Simplify a1 into a1 197.933 * [taylor]: Taking taylor expansion of (cos th) in th 197.933 * [taylor]: Taking taylor expansion of th in th 197.933 * [backup-simplify]: Simplify 0 into 0 197.933 * [backup-simplify]: Simplify 1 into 1 197.933 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.933 * [taylor]: Taking taylor expansion of 2 in th 197.933 * [backup-simplify]: Simplify 2 into 2 197.934 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.934 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 197.934 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 197.935 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 197.935 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2)) in th 197.935 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 197.935 * [taylor]: Taking taylor expansion of (pow a1 2) in th 197.935 * [taylor]: Taking taylor expansion of a1 in th 197.935 * [backup-simplify]: Simplify a1 into a1 197.935 * [taylor]: Taking taylor expansion of (cos th) in th 197.935 * [taylor]: Taking taylor expansion of th in th 197.935 * [backup-simplify]: Simplify 0 into 0 197.935 * [backup-simplify]: Simplify 1 into 1 197.935 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.935 * [taylor]: Taking taylor expansion of 2 in th 197.935 * [backup-simplify]: Simplify 2 into 2 197.936 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.936 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 197.936 * [backup-simplify]: Simplify (* (pow a1 2) 1) into (pow a1 2) 197.937 * [backup-simplify]: Simplify (/ (pow a1 2) (sqrt 2)) into (/ (pow a1 2) (sqrt 2)) 197.937 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 197.937 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 197.937 * [taylor]: Taking taylor expansion of a1 in a1 197.937 * [backup-simplify]: Simplify 0 into 0 197.937 * [backup-simplify]: Simplify 1 into 1 197.937 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.937 * [taylor]: Taking taylor expansion of 2 in a1 197.937 * [backup-simplify]: Simplify 2 into 2 197.938 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.939 * [backup-simplify]: Simplify (* 1 1) into 1 197.940 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.940 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.941 * [backup-simplify]: Simplify (+ 0) into 0 197.941 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 197.941 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 1)) into 0 197.943 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.943 * [taylor]: Taking taylor expansion of 0 in a1 197.943 * [backup-simplify]: Simplify 0 into 0 197.943 * [backup-simplify]: Simplify 0 into 0 197.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.945 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.945 * [backup-simplify]: Simplify 0 into 0 197.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 197.946 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 197.946 * [backup-simplify]: Simplify (+ (* (pow a1 2) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (pow a1 2))) 197.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.948 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (pow a1 2))) (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) 197.948 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 197.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 197.948 * [taylor]: Taking taylor expansion of 1/2 in a1 197.948 * [backup-simplify]: Simplify 1/2 into 1/2 197.948 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 197.948 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 197.948 * [taylor]: Taking taylor expansion of a1 in a1 197.948 * [backup-simplify]: Simplify 0 into 0 197.948 * [backup-simplify]: Simplify 1 into 1 197.948 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.948 * [taylor]: Taking taylor expansion of 2 in a1 197.948 * [backup-simplify]: Simplify 2 into 2 197.949 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.949 * [backup-simplify]: Simplify (* 1 1) into 1 197.950 * [backup-simplify]: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 197.951 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) 197.952 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.953 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) 197.953 * [backup-simplify]: Simplify 0 into 0 197.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 197.954 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.955 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.955 * [backup-simplify]: Simplify 0 into 0 197.956 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 197.956 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 197.957 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 1)))) into 0 197.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.960 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a1 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 197.960 * [taylor]: Taking taylor expansion of 0 in a1 197.960 * [backup-simplify]: Simplify 0 into 0 197.960 * [backup-simplify]: Simplify 0 into 0 197.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.961 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 197.962 * [backup-simplify]: Simplify (- 0) into 0 197.962 * [backup-simplify]: Simplify 0 into 0 197.962 * [backup-simplify]: Simplify 0 into 0 197.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 197.963 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 197.964 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.964 * [backup-simplify]: Simplify 0 into 0 197.968 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) 197.973 * [backup-simplify]: Simplify (/ (/ (/ (* (cos (/ 1 th)) (/ 1 a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (/ 1 a1))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 197.973 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in (th a1) around 0 197.974 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 197.974 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 197.974 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 197.974 * [taylor]: Taking taylor expansion of th in a1 197.974 * [backup-simplify]: Simplify th into th 197.974 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.974 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.974 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.974 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 197.974 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.974 * [taylor]: Taking taylor expansion of 2 in a1 197.974 * [backup-simplify]: Simplify 2 into 2 197.974 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.975 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 197.975 * [taylor]: Taking taylor expansion of a1 in a1 197.975 * [backup-simplify]: Simplify 0 into 0 197.975 * [backup-simplify]: Simplify 1 into 1 197.975 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.975 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.975 * [backup-simplify]: Simplify (- 0) into 0 197.975 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.975 * [backup-simplify]: Simplify (* 1 1) into 1 197.976 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.976 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.976 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 197.976 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.976 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.976 * [taylor]: Taking taylor expansion of th in th 197.976 * [backup-simplify]: Simplify 0 into 0 197.976 * [backup-simplify]: Simplify 1 into 1 197.977 * [backup-simplify]: Simplify (/ 1 1) into 1 197.977 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.977 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 197.977 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.977 * [taylor]: Taking taylor expansion of 2 in th 197.977 * [backup-simplify]: Simplify 2 into 2 197.977 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.977 * [taylor]: Taking taylor expansion of (pow a1 2) in th 197.977 * [taylor]: Taking taylor expansion of a1 in th 197.977 * [backup-simplify]: Simplify a1 into a1 197.977 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 197.978 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 197.978 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 197.978 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in th 197.978 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 197.978 * [taylor]: Taking taylor expansion of (/ 1 th) in th 197.978 * [taylor]: Taking taylor expansion of th in th 197.978 * [backup-simplify]: Simplify 0 into 0 197.978 * [backup-simplify]: Simplify 1 into 1 197.979 * [backup-simplify]: Simplify (/ 1 1) into 1 197.979 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.979 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in th 197.979 * [taylor]: Taking taylor expansion of (sqrt 2) in th 197.979 * [taylor]: Taking taylor expansion of 2 in th 197.979 * [backup-simplify]: Simplify 2 into 2 197.979 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.979 * [taylor]: Taking taylor expansion of (pow a1 2) in th 197.979 * [taylor]: Taking taylor expansion of a1 in th 197.979 * [backup-simplify]: Simplify a1 into a1 197.980 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 197.980 * [backup-simplify]: Simplify (* (sqrt 2) (pow a1 2)) into (* (pow a1 2) (sqrt 2)) 197.980 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) 197.980 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) in a1 197.980 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 197.980 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 197.980 * [taylor]: Taking taylor expansion of th in a1 197.980 * [backup-simplify]: Simplify th into th 197.980 * [backup-simplify]: Simplify (/ 1 th) into (/ 1 th) 197.980 * [backup-simplify]: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) 197.980 * [backup-simplify]: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) 197.981 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow a1 2)) in a1 197.981 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 197.981 * [taylor]: Taking taylor expansion of 2 in a1 197.981 * [backup-simplify]: Simplify 2 into 2 197.981 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 197.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 197.981 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 197.981 * [taylor]: Taking taylor expansion of a1 in a1 197.981 * [backup-simplify]: Simplify 0 into 0 197.981 * [backup-simplify]: Simplify 1 into 1 197.981 * [backup-simplify]: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) 197.981 * [backup-simplify]: Simplify (* (sin (/ 1 th)) 0) into 0 197.982 * [backup-simplify]: Simplify (- 0) into 0 197.982 * [backup-simplify]: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) 197.982 * [backup-simplify]: Simplify (* 1 1) into 1 197.983 * [backup-simplify]: Simplify (* (sqrt 2) 1) into (sqrt 2) 197.983 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.983 * [backup-simplify]: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) 197.983 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 197.984 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (pow a1 2))) into 0 197.984 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 197.984 * [taylor]: Taking taylor expansion of 0 in a1 197.985 * [backup-simplify]: Simplify 0 into 0 197.985 * [backup-simplify]: Simplify (+ 0) into 0 197.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 197.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 197.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 197.986 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 197.986 * [backup-simplify]: Simplify (- 0) into 0 197.986 * [backup-simplify]: Simplify (+ 0 0) into 0 197.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 197.987 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 197.988 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 197.988 * [backup-simplify]: Simplify 0 into 0 197.989 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 197.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.990 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow a1 2)))) into 0 197.991 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 197.991 * [taylor]: Taking taylor expansion of 0 in a1 197.991 * [backup-simplify]: Simplify 0 into 0 197.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 197.992 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 197.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 197.992 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 197.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 197.993 * [backup-simplify]: Simplify (- 0) into 0 197.993 * [backup-simplify]: Simplify (+ 0 0) into 0 197.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 197.995 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 197.996 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 197.998 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 197.998 * [backup-simplify]: Simplify 0 into 0 197.999 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 198.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.002 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2))))) into 0 198.004 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.004 * [taylor]: Taking taylor expansion of 0 in a1 198.004 * [backup-simplify]: Simplify 0 into 0 198.004 * [backup-simplify]: Simplify 0 into 0 198.005 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 198.006 * [backup-simplify]: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 198.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 198.008 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 198.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 198.009 * [backup-simplify]: Simplify (- 0) into 0 198.009 * [backup-simplify]: Simplify (+ 0 0) into 0 198.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 198.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.013 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 198.016 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 198.016 * [backup-simplify]: Simplify 0 into 0 198.017 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 198.018 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.020 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a1 2)))))) into 0 198.023 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.023 * [taylor]: Taking taylor expansion of 0 in a1 198.023 * [backup-simplify]: Simplify 0 into 0 198.023 * [backup-simplify]: Simplify 0 into 0 198.023 * [backup-simplify]: Simplify 0 into 0 198.024 * [backup-simplify]: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 198.033 * [backup-simplify]: Simplify (/ (/ (/ (* (cos (/ 1 (- th))) (/ 1 (- a1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (/ 1 (- a1)))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 198.033 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in (th a1) around 0 198.033 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 198.033 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 198.033 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 198.033 * [taylor]: Taking taylor expansion of -1 in a1 198.033 * [backup-simplify]: Simplify -1 into -1 198.033 * [taylor]: Taking taylor expansion of th in a1 198.033 * [backup-simplify]: Simplify th into th 198.033 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 198.033 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 198.033 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 198.033 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 198.033 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 198.033 * [taylor]: Taking taylor expansion of a1 in a1 198.033 * [backup-simplify]: Simplify 0 into 0 198.033 * [backup-simplify]: Simplify 1 into 1 198.033 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 198.034 * [taylor]: Taking taylor expansion of 2 in a1 198.034 * [backup-simplify]: Simplify 2 into 2 198.034 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 198.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 198.035 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 198.035 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 198.035 * [backup-simplify]: Simplify (- 0) into 0 198.035 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 198.036 * [backup-simplify]: Simplify (* 1 1) into 1 198.036 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 198.037 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 198.037 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 198.037 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 198.037 * [taylor]: Taking taylor expansion of (/ -1 th) in th 198.037 * [taylor]: Taking taylor expansion of -1 in th 198.037 * [backup-simplify]: Simplify -1 into -1 198.037 * [taylor]: Taking taylor expansion of th in th 198.037 * [backup-simplify]: Simplify 0 into 0 198.037 * [backup-simplify]: Simplify 1 into 1 198.038 * [backup-simplify]: Simplify (/ -1 1) into -1 198.038 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 198.038 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 198.038 * [taylor]: Taking taylor expansion of (pow a1 2) in th 198.038 * [taylor]: Taking taylor expansion of a1 in th 198.038 * [backup-simplify]: Simplify a1 into a1 198.038 * [taylor]: Taking taylor expansion of (sqrt 2) in th 198.038 * [taylor]: Taking taylor expansion of 2 in th 198.038 * [backup-simplify]: Simplify 2 into 2 198.038 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 198.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 198.039 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 198.039 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 198.040 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 198.040 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in th 198.040 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 198.040 * [taylor]: Taking taylor expansion of (/ -1 th) in th 198.040 * [taylor]: Taking taylor expansion of -1 in th 198.040 * [backup-simplify]: Simplify -1 into -1 198.040 * [taylor]: Taking taylor expansion of th in th 198.040 * [backup-simplify]: Simplify 0 into 0 198.040 * [backup-simplify]: Simplify 1 into 1 198.041 * [backup-simplify]: Simplify (/ -1 1) into -1 198.041 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 198.041 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in th 198.041 * [taylor]: Taking taylor expansion of (pow a1 2) in th 198.041 * [taylor]: Taking taylor expansion of a1 in th 198.041 * [backup-simplify]: Simplify a1 into a1 198.041 * [taylor]: Taking taylor expansion of (sqrt 2) in th 198.041 * [taylor]: Taking taylor expansion of 2 in th 198.041 * [backup-simplify]: Simplify 2 into 2 198.041 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 198.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 198.042 * [backup-simplify]: Simplify (* a1 a1) into (pow a1 2) 198.042 * [backup-simplify]: Simplify (* (pow a1 2) (sqrt 2)) into (* (pow a1 2) (sqrt 2)) 198.043 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) 198.043 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 198.043 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 198.043 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 198.043 * [taylor]: Taking taylor expansion of -1 in a1 198.043 * [backup-simplify]: Simplify -1 into -1 198.043 * [taylor]: Taking taylor expansion of th in a1 198.043 * [backup-simplify]: Simplify th into th 198.043 * [backup-simplify]: Simplify (/ -1 th) into (/ -1 th) 198.043 * [backup-simplify]: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) 198.043 * [backup-simplify]: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) 198.043 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 198.043 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 198.043 * [taylor]: Taking taylor expansion of a1 in a1 198.043 * [backup-simplify]: Simplify 0 into 0 198.043 * [backup-simplify]: Simplify 1 into 1 198.043 * [taylor]: Taking taylor expansion of (sqrt 2) in a1 198.043 * [taylor]: Taking taylor expansion of 2 in a1 198.044 * [backup-simplify]: Simplify 2 into 2 198.044 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 198.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 198.045 * [backup-simplify]: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) 198.045 * [backup-simplify]: Simplify (* (sin (/ -1 th)) 0) into 0 198.045 * [backup-simplify]: Simplify (- 0) into 0 198.045 * [backup-simplify]: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) 198.046 * [backup-simplify]: Simplify (* 1 1) into 1 198.046 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 198.047 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 198.047 * [backup-simplify]: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) 198.047 * [backup-simplify]: Simplify (+ (* a1 0) (* 0 a1)) into 0 198.048 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (* 0 (sqrt 2))) into 0 198.049 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.049 * [taylor]: Taking taylor expansion of 0 in a1 198.049 * [backup-simplify]: Simplify 0 into 0 198.050 * [backup-simplify]: Simplify (+ 0) into 0 198.050 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 198.050 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 198.051 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 198.052 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 198.052 * [backup-simplify]: Simplify (- 0) into 0 198.052 * [backup-simplify]: Simplify (+ 0 0) into 0 198.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 198.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 198.055 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 198.055 * [backup-simplify]: Simplify 0 into 0 198.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 198.056 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 198.056 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 198.058 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.058 * [taylor]: Taking taylor expansion of 0 in a1 198.058 * [backup-simplify]: Simplify 0 into 0 198.058 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 198.059 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 198.059 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 198.059 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 198.060 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 198.060 * [backup-simplify]: Simplify (- 0) into 0 198.060 * [backup-simplify]: Simplify (+ 0 0) into 0 198.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 198.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 198.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 198.063 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 198.063 * [backup-simplify]: Simplify 0 into 0 198.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.064 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 198.065 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 198.066 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.066 * [taylor]: Taking taylor expansion of 0 in a1 198.066 * [backup-simplify]: Simplify 0 into 0 198.066 * [backup-simplify]: Simplify 0 into 0 198.067 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 198.068 * [backup-simplify]: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 198.068 * [backup-simplify]: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 198.069 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 198.069 * [backup-simplify]: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 198.069 * [backup-simplify]: Simplify (- 0) into 0 198.069 * [backup-simplify]: Simplify (+ 0 0) into 0 198.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 198.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 198.073 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 198.073 * [backup-simplify]: Simplify 0 into 0 198.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 198.075 * [backup-simplify]: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) into 0 198.075 * [backup-simplify]: Simplify (+ (* (pow a1 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 198.077 * [backup-simplify]: Simplify (- (/ 0 (* (pow a1 2) (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))) (* 0 (/ 0 (* (pow a1 2) (sqrt 2)))))) into 0 198.077 * [taylor]: Taking taylor expansion of 0 in a1 198.077 * [backup-simplify]: Simplify 0 into 0 198.077 * [backup-simplify]: Simplify 0 into 0 198.077 * [backup-simplify]: Simplify 0 into 0 198.080 * [backup-simplify]: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (pow a1 2) (cos th)) (sqrt 2)) 198.080 * * * [progress]: simplifying candidates 198.080 * * * * [progress]: [ 1 / 4148 ] simplifiying candidate # 198.080 * * * * [progress]: [ 2 / 4148 ] simplifiying candidate # 198.081 * [simplify]: Simplifying (- (log (cos th)) (log (sqrt 2))) 198.081 * * [simplify]: iters left: 4 (7 enodes) 198.083 * * [simplify]: iters left: 3 (23 enodes) 198.087 * * [simplify]: iters left: 2 (26 enodes) 198.091 * * [simplify]: Extracting #0: cost 1 inf + 0 198.091 * * [simplify]: Extracting #1: cost 5 inf + 0 198.091 * * [simplify]: Extracting #2: cost 10 inf + 0 198.091 * * [simplify]: Extracting #3: cost 14 inf + 0 198.092 * * [simplify]: Extracting #4: cost 12 inf + 2 198.092 * * [simplify]: Extracting #5: cost 6 inf + 468 198.092 * * [simplify]: Extracting #6: cost 1 inf + 1274 198.092 * * [simplify]: Extracting #7: cost 0 inf + 1556 198.093 * [simplify]: Simplified to (- (log (cos th)) (log (sqrt 2))) 198.093 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2)))) 198.093 * * * * [progress]: [ 3 / 4148 ] simplifiying candidate # 198.093 * * * * [progress]: [ 4 / 4148 ] simplifiying candidate # 198.093 * * * * [progress]: [ 5 / 4148 ] simplifiying candidate # 198.094 * [simplify]: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) 198.094 * * [simplify]: iters left: 6 (9 enodes) 198.099 * * [simplify]: iters left: 5 (34 enodes) 198.111 * * [simplify]: iters left: 4 (74 enodes) 198.128 * * [simplify]: iters left: 3 (146 enodes) 198.163 * * [simplify]: iters left: 2 (206 enodes) 198.220 * * [simplify]: iters left: 1 (295 enodes) 198.303 * * [simplify]: Extracting #0: cost 1 inf + 0 198.303 * * [simplify]: Extracting #1: cost 49 inf + 0 198.304 * * [simplify]: Extracting #2: cost 103 inf + 123 198.305 * * [simplify]: Extracting #3: cost 82 inf + 3103 198.310 * * [simplify]: Extracting #4: cost 39 inf + 15197 198.317 * * [simplify]: Extracting #5: cost 6 inf + 30076 198.324 * * [simplify]: Extracting #6: cost 0 inf + 33438 198.332 * [simplify]: Simplified to (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2)))) 198.332 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (cbrt (* (* (cos th) (cos th)) (/ (cos th) (* 2 (sqrt 2))))) (* a2 a2)))) 198.332 * * * * [progress]: [ 6 / 4148 ] simplifiying candidate # 198.332 * * * * [progress]: [ 7 / 4148 ] simplifiying candidate # 198.333 * * * * [progress]: [ 8 / 4148 ] simplifiying candidate # 198.333 * * * * [progress]: [ 9 / 4148 ] simplifiying candidate # 198.333 * * * * [progress]: [ 10 / 4148 ] simplifiying candidate # 198.333 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 198.333 * * [simplify]: iters left: 6 (9 enodes) 198.336 * * [simplify]: iters left: 5 (33 enodes) 198.341 * * [simplify]: iters left: 4 (48 enodes) 198.349 * * [simplify]: iters left: 3 (55 enodes) 198.359 * * [simplify]: iters left: 2 (58 enodes) 198.371 * * [simplify]: Extracting #0: cost 1 inf + 0 198.372 * * [simplify]: Extracting #1: cost 11 inf + 0 198.372 * * [simplify]: Extracting #2: cost 22 inf + 0 198.372 * * [simplify]: Extracting #3: cost 26 inf + 0 198.372 * * [simplify]: Extracting #4: cost 22 inf + 104 198.373 * * [simplify]: Extracting #5: cost 7 inf + 3466 198.374 * * [simplify]: Extracting #6: cost 0 inf + 5358 198.375 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 198.375 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 198.376 * [simplify]: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) 198.376 * * [simplify]: iters left: 4 (7 enodes) 198.380 * * [simplify]: iters left: 3 (21 enodes) 198.386 * * [simplify]: Extracting #0: cost 1 inf + 0 198.386 * * [simplify]: Extracting #1: cost 4 inf + 0 198.386 * * [simplify]: Extracting #2: cost 8 inf + 0 198.386 * * [simplify]: Extracting #3: cost 12 inf + 0 198.386 * * [simplify]: Extracting #4: cost 10 inf + 2 198.386 * * [simplify]: Extracting #5: cost 4 inf + 448 198.387 * * [simplify]: Extracting #6: cost 1 inf + 1032 198.387 * * [simplify]: Extracting #7: cost 0 inf + 1334 198.387 * [simplify]: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) 198.387 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 198.388 * * * * [progress]: [ 11 / 4148 ] simplifiying candidate # 198.388 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 198.388 * * [simplify]: iters left: 6 (9 enodes) 198.393 * * [simplify]: iters left: 5 (30 enodes) 198.402 * * [simplify]: iters left: 4 (34 enodes) 198.409 * * [simplify]: iters left: 3 (37 enodes) 198.415 * * [simplify]: Extracting #0: cost 1 inf + 0 198.415 * * [simplify]: Extracting #1: cost 7 inf + 0 198.415 * * [simplify]: Extracting #2: cost 15 inf + 0 198.415 * * [simplify]: Extracting #3: cost 20 inf + 0 198.415 * * [simplify]: Extracting #4: cost 14 inf + 386 198.415 * * [simplify]: Extracting #5: cost 4 inf + 2139 198.416 * * [simplify]: Extracting #6: cost 0 inf + 3306 198.416 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 198.416 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 198.416 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt 2))) 198.416 * * [simplify]: iters left: 4 (7 enodes) 198.418 * * [simplify]: iters left: 3 (21 enodes) 198.421 * * [simplify]: Extracting #0: cost 1 inf + 0 198.421 * * [simplify]: Extracting #1: cost 4 inf + 0 198.421 * * [simplify]: Extracting #2: cost 8 inf + 0 198.421 * * [simplify]: Extracting #3: cost 12 inf + 0 198.422 * * [simplify]: Extracting #4: cost 10 inf + 2 198.422 * * [simplify]: Extracting #5: cost 4 inf + 528 198.422 * * [simplify]: Extracting #6: cost 1 inf + 1112 198.422 * * [simplify]: Extracting #7: cost 0 inf + 1414 198.422 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt 2))) 198.422 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (/ (cbrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 198.422 * * * * [progress]: [ 12 / 4148 ] simplifiying candidate # 198.423 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 198.423 * * [simplify]: iters left: 6 (8 enodes) 198.425 * * [simplify]: iters left: 5 (26 enodes) 198.429 * * [simplify]: iters left: 4 (30 enodes) 198.434 * * [simplify]: iters left: 3 (33 enodes) 198.439 * * [simplify]: Extracting #0: cost 1 inf + 0 198.439 * * [simplify]: Extracting #1: cost 7 inf + 0 198.439 * * [simplify]: Extracting #2: cost 14 inf + 0 198.439 * * [simplify]: Extracting #3: cost 18 inf + 0 198.439 * * [simplify]: Extracting #4: cost 15 inf + 43 198.439 * * [simplify]: Extracting #5: cost 11 inf + 307 198.440 * * [simplify]: Extracting #6: cost 2 inf + 2181 198.440 * * [simplify]: Extracting #7: cost 0 inf + 2664 198.441 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 198.441 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.442 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 198.442 * * [simplify]: iters left: 4 (7 enodes) 198.445 * * [simplify]: iters left: 3 (21 enodes) 198.451 * * [simplify]: Extracting #0: cost 1 inf + 0 198.451 * * [simplify]: Extracting #1: cost 4 inf + 0 198.451 * * [simplify]: Extracting #2: cost 8 inf + 0 198.452 * * [simplify]: Extracting #3: cost 12 inf + 0 198.452 * * [simplify]: Extracting #4: cost 10 inf + 2 198.452 * * [simplify]: Extracting #5: cost 4 inf + 368 198.452 * * [simplify]: Extracting #6: cost 1 inf + 912 198.452 * * [simplify]: Extracting #7: cost 0 inf + 1174 198.453 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 198.453 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.453 * * * * [progress]: [ 13 / 4148 ] simplifiying candidate # 198.453 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 198.453 * * [simplify]: iters left: 6 (7 enodes) 198.457 * * [simplify]: iters left: 5 (25 enodes) 198.465 * * [simplify]: iters left: 4 (31 enodes) 198.476 * * [simplify]: iters left: 3 (35 enodes) 198.481 * * [simplify]: iters left: 2 (36 enodes) 198.485 * * [simplify]: Extracting #0: cost 1 inf + 0 198.486 * * [simplify]: Extracting #1: cost 5 inf + 0 198.486 * * [simplify]: Extracting #2: cost 7 inf + 1 198.486 * * [simplify]: Extracting #3: cost 9 inf + 1 198.486 * * [simplify]: Extracting #4: cost 8 inf + 2 198.486 * * [simplify]: Extracting #5: cost 1 inf + 951 198.486 * * [simplify]: Extracting #6: cost 0 inf + 1132 198.486 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 198.486 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.486 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 198.487 * * [simplify]: iters left: 4 (6 enodes) 198.488 * * [simplify]: iters left: 3 (18 enodes) 198.491 * * [simplify]: Extracting #0: cost 1 inf + 0 198.491 * * [simplify]: Extracting #1: cost 4 inf + 0 198.491 * * [simplify]: Extracting #2: cost 8 inf + 0 198.491 * * [simplify]: Extracting #3: cost 7 inf + 83 198.491 * * [simplify]: Extracting #4: cost 6 inf + 84 198.491 * * [simplify]: Extracting #5: cost 0 inf + 932 198.491 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 198.491 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.492 * * * * [progress]: [ 14 / 4148 ] simplifiying candidate # 198.492 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 198.492 * * [simplify]: iters left: 6 (8 enodes) 198.494 * * [simplify]: iters left: 5 (26 enodes) 198.498 * * [simplify]: iters left: 4 (30 enodes) 198.503 * * [simplify]: iters left: 3 (33 enodes) 198.508 * * [simplify]: Extracting #0: cost 1 inf + 0 198.508 * * [simplify]: Extracting #1: cost 7 inf + 0 198.508 * * [simplify]: Extracting #2: cost 14 inf + 0 198.509 * * [simplify]: Extracting #3: cost 18 inf + 0 198.509 * * [simplify]: Extracting #4: cost 15 inf + 43 198.509 * * [simplify]: Extracting #5: cost 11 inf + 307 198.509 * * [simplify]: Extracting #6: cost 2 inf + 2181 198.509 * * [simplify]: Extracting #7: cost 0 inf + 2664 198.510 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 198.510 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.510 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) 198.511 * * [simplify]: iters left: 4 (7 enodes) 198.514 * * [simplify]: iters left: 3 (21 enodes) 198.520 * * [simplify]: Extracting #0: cost 1 inf + 0 198.521 * * [simplify]: Extracting #1: cost 4 inf + 0 198.521 * * [simplify]: Extracting #2: cost 8 inf + 0 198.521 * * [simplify]: Extracting #3: cost 12 inf + 0 198.521 * * [simplify]: Extracting #4: cost 10 inf + 2 198.521 * * [simplify]: Extracting #5: cost 4 inf + 368 198.521 * * [simplify]: Extracting #6: cost 1 inf + 912 198.521 * * [simplify]: Extracting #7: cost 0 inf + 1174 198.522 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) 198.522 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.522 * * * * [progress]: [ 15 / 4148 ] simplifiying candidate # 198.522 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 198.523 * * [simplify]: iters left: 6 (6 enodes) 198.526 * * [simplify]: iters left: 5 (20 enodes) 198.529 * * [simplify]: iters left: 4 (30 enodes) 198.533 * * [simplify]: iters left: 3 (31 enodes) 198.537 * * [simplify]: Extracting #0: cost 1 inf + 0 198.537 * * [simplify]: Extracting #1: cost 5 inf + 0 198.537 * * [simplify]: Extracting #2: cost 7 inf + 1 198.537 * * [simplify]: Extracting #3: cost 9 inf + 1 198.537 * * [simplify]: Extracting #4: cost 8 inf + 2 198.537 * * [simplify]: Extracting #5: cost 0 inf + 1132 198.537 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 198.537 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.538 * [simplify]: Simplifying (/ (cbrt (cos th)) (sqrt 2)) 198.538 * * [simplify]: iters left: 4 (6 enodes) 198.539 * * [simplify]: iters left: 3 (18 enodes) 198.542 * * [simplify]: Extracting #0: cost 1 inf + 0 198.542 * * [simplify]: Extracting #1: cost 4 inf + 0 198.542 * * [simplify]: Extracting #2: cost 8 inf + 0 198.542 * * [simplify]: Extracting #3: cost 7 inf + 83 198.542 * * [simplify]: Extracting #4: cost 6 inf + 84 198.542 * * [simplify]: Extracting #5: cost 0 inf + 932 198.542 * [simplify]: Simplified to (/ (cbrt (cos th)) (sqrt 2)) 198.542 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.543 * * * * [progress]: [ 16 / 4148 ] simplifiying candidate # 198.543 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 198.543 * * [simplify]: iters left: 6 (8 enodes) 198.545 * * [simplify]: iters left: 5 (26 enodes) 198.549 * * [simplify]: iters left: 4 (28 enodes) 198.553 * * [simplify]: Extracting #0: cost 1 inf + 0 198.553 * * [simplify]: Extracting #1: cost 6 inf + 0 198.553 * * [simplify]: Extracting #2: cost 12 inf + 0 198.553 * * [simplify]: Extracting #3: cost 16 inf + 0 198.553 * * [simplify]: Extracting #4: cost 14 inf + 2 198.553 * * [simplify]: Extracting #5: cost 10 inf + 266 198.553 * * [simplify]: Extracting #6: cost 1 inf + 1798 198.554 * * [simplify]: Extracting #7: cost 0 inf + 2100 198.554 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 198.554 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 198.554 * [simplify]: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) 198.554 * * [simplify]: iters left: 4 (7 enodes) 198.556 * * [simplify]: iters left: 3 (21 enodes) 198.561 * * [simplify]: Extracting #0: cost 1 inf + 0 198.561 * * [simplify]: Extracting #1: cost 4 inf + 0 198.561 * * [simplify]: Extracting #2: cost 8 inf + 0 198.561 * * [simplify]: Extracting #3: cost 12 inf + 0 198.562 * * [simplify]: Extracting #4: cost 10 inf + 2 198.562 * * [simplify]: Extracting #5: cost 4 inf + 448 198.562 * * [simplify]: Extracting #6: cost 1 inf + 912 198.562 * * [simplify]: Extracting #7: cost 0 inf + 1174 198.563 * [simplify]: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) 198.563 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) 198.563 * * * * [progress]: [ 17 / 4148 ] simplifiying candidate # 198.563 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 198.563 * * [simplify]: iters left: 6 (8 enodes) 198.567 * * [simplify]: iters left: 5 (25 enodes) 198.577 * * [simplify]: Extracting #0: cost 1 inf + 0 198.577 * * [simplify]: Extracting #1: cost 4 inf + 0 198.577 * * [simplify]: Extracting #2: cost 9 inf + 0 198.577 * * [simplify]: Extracting #3: cost 14 inf + 0 198.577 * * [simplify]: Extracting #4: cost 12 inf + 2 198.578 * * [simplify]: Extracting #5: cost 6 inf + 528 198.578 * * [simplify]: Extracting #6: cost 1 inf + 1234 198.578 * * [simplify]: Extracting #7: cost 0 inf + 1496 198.579 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 198.579 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 198.579 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt 2))) 198.579 * * [simplify]: iters left: 4 (7 enodes) 198.583 * * [simplify]: iters left: 3 (21 enodes) 198.589 * * [simplify]: Extracting #0: cost 1 inf + 0 198.589 * * [simplify]: Extracting #1: cost 4 inf + 0 198.589 * * [simplify]: Extracting #2: cost 8 inf + 0 198.589 * * [simplify]: Extracting #3: cost 12 inf + 0 198.590 * * [simplify]: Extracting #4: cost 10 inf + 2 198.590 * * [simplify]: Extracting #5: cost 4 inf + 528 198.590 * * [simplify]: Extracting #6: cost 1 inf + 992 198.590 * * [simplify]: Extracting #7: cost 0 inf + 1254 198.591 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt 2))) 198.591 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (/ (sqrt (cos th)) (sqrt (cbrt 2)))) (* a2 a2)))) 198.591 * * * * [progress]: [ 18 / 4148 ] simplifiying candidate # 198.591 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.591 * * [simplify]: iters left: 4 (7 enodes) 198.595 * * [simplify]: iters left: 3 (21 enodes) 198.601 * * [simplify]: Extracting #0: cost 1 inf + 0 198.602 * * [simplify]: Extracting #1: cost 4 inf + 0 198.602 * * [simplify]: Extracting #2: cost 8 inf + 0 198.602 * * [simplify]: Extracting #3: cost 12 inf + 0 198.602 * * [simplify]: Extracting #4: cost 10 inf + 2 198.602 * * [simplify]: Extracting #5: cost 4 inf + 368 198.602 * * [simplify]: Extracting #6: cost 1 inf + 792 198.602 * * [simplify]: Extracting #7: cost 0 inf + 1014 198.603 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.603 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.603 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.603 * * [simplify]: iters left: 4 (7 enodes) 198.606 * * [simplify]: iters left: 3 (21 enodes) 198.610 * * [simplify]: Extracting #0: cost 1 inf + 0 198.610 * * [simplify]: Extracting #1: cost 4 inf + 0 198.610 * * [simplify]: Extracting #2: cost 8 inf + 0 198.610 * * [simplify]: Extracting #3: cost 12 inf + 0 198.610 * * [simplify]: Extracting #4: cost 10 inf + 2 198.610 * * [simplify]: Extracting #5: cost 4 inf + 368 198.610 * * [simplify]: Extracting #6: cost 1 inf + 792 198.610 * * [simplify]: Extracting #7: cost 0 inf + 1014 198.610 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.610 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.610 * * * * [progress]: [ 19 / 4148 ] simplifiying candidate # 198.611 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 198.611 * * [simplify]: iters left: 4 (6 enodes) 198.614 * * [simplify]: iters left: 3 (20 enodes) 198.617 * * [simplify]: iters left: 2 (22 enodes) 198.620 * * [simplify]: iters left: 1 (24 enodes) 198.623 * * [simplify]: Extracting #0: cost 1 inf + 0 198.623 * * [simplify]: Extracting #1: cost 4 inf + 0 198.623 * * [simplify]: Extracting #2: cost 5 inf + 1 198.624 * * [simplify]: Extracting #3: cost 4 inf + 2 198.624 * * [simplify]: Extracting #4: cost 0 inf + 326 198.624 * [simplify]: Simplified to (sqrt (cos th)) 198.624 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.624 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 198.624 * * [simplify]: iters left: 4 (6 enodes) 198.626 * * [simplify]: iters left: 3 (18 enodes) 198.628 * * [simplify]: Extracting #0: cost 1 inf + 0 198.628 * * [simplify]: Extracting #1: cost 4 inf + 0 198.628 * * [simplify]: Extracting #2: cost 8 inf + 0 198.629 * * [simplify]: Extracting #3: cost 7 inf + 83 198.629 * * [simplify]: Extracting #4: cost 6 inf + 84 198.629 * * [simplify]: Extracting #5: cost 0 inf + 772 198.629 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 198.629 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.629 * * * * [progress]: [ 20 / 4148 ] simplifiying candidate # 198.629 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.629 * * [simplify]: iters left: 4 (7 enodes) 198.631 * * [simplify]: iters left: 3 (21 enodes) 198.635 * * [simplify]: Extracting #0: cost 1 inf + 0 198.635 * * [simplify]: Extracting #1: cost 4 inf + 0 198.635 * * [simplify]: Extracting #2: cost 8 inf + 0 198.635 * * [simplify]: Extracting #3: cost 12 inf + 0 198.635 * * [simplify]: Extracting #4: cost 10 inf + 2 198.635 * * [simplify]: Extracting #5: cost 4 inf + 368 198.635 * * [simplify]: Extracting #6: cost 1 inf + 792 198.636 * * [simplify]: Extracting #7: cost 0 inf + 1014 198.636 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.636 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.636 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.636 * * [simplify]: iters left: 4 (7 enodes) 198.640 * * [simplify]: iters left: 3 (21 enodes) 198.646 * * [simplify]: Extracting #0: cost 1 inf + 0 198.646 * * [simplify]: Extracting #1: cost 4 inf + 0 198.646 * * [simplify]: Extracting #2: cost 8 inf + 0 198.646 * * [simplify]: Extracting #3: cost 12 inf + 0 198.646 * * [simplify]: Extracting #4: cost 10 inf + 2 198.647 * * [simplify]: Extracting #5: cost 4 inf + 368 198.647 * * [simplify]: Extracting #6: cost 1 inf + 792 198.647 * * [simplify]: Extracting #7: cost 0 inf + 1014 198.647 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 198.647 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) 198.648 * * * * [progress]: [ 21 / 4148 ] simplifiying candidate # 198.648 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 198.648 * * [simplify]: iters left: 4 (5 enodes) 198.651 * * [simplify]: iters left: 3 (15 enodes) 198.655 * * [simplify]: iters left: 2 (17 enodes) 198.660 * * [simplify]: Extracting #0: cost 1 inf + 0 198.661 * * [simplify]: Extracting #1: cost 4 inf + 0 198.661 * * [simplify]: Extracting #2: cost 5 inf + 1 198.661 * * [simplify]: Extracting #3: cost 4 inf + 2 198.661 * * [simplify]: Extracting #4: cost 1 inf + 225 198.661 * * [simplify]: Extracting #5: cost 0 inf + 326 198.661 * [simplify]: Simplified to (sqrt (cos th)) 198.661 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.662 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 2)) 198.662 * * [simplify]: iters left: 4 (6 enodes) 198.665 * * [simplify]: iters left: 3 (18 enodes) 198.668 * * [simplify]: Extracting #0: cost 1 inf + 0 198.668 * * [simplify]: Extracting #1: cost 4 inf + 0 198.668 * * [simplify]: Extracting #2: cost 8 inf + 0 198.668 * * [simplify]: Extracting #3: cost 7 inf + 83 198.668 * * [simplify]: Extracting #4: cost 6 inf + 84 198.668 * * [simplify]: Extracting #5: cost 0 inf + 772 198.668 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt 2)) 198.668 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) 198.669 * * * * [progress]: [ 22 / 4148 ] simplifiying candidate # 198.669 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 198.669 * * [simplify]: iters left: 6 (6 enodes) 198.671 * * [simplify]: iters left: 5 (22 enodes) 198.675 * * [simplify]: iters left: 4 (26 enodes) 198.679 * * [simplify]: Extracting #0: cost 1 inf + 0 198.680 * * [simplify]: Extracting #1: cost 6 inf + 0 198.680 * * [simplify]: Extracting #2: cost 9 inf + 1 198.680 * * [simplify]: Extracting #3: cost 11 inf + 1 198.680 * * [simplify]: Extracting #4: cost 8 inf + 84 198.680 * * [simplify]: Extracting #5: cost 2 inf + 1013 198.680 * * [simplify]: Extracting #6: cost 0 inf + 1376 198.680 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 198.680 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 198.681 * [simplify]: Simplifying (/ (cos th) (cbrt (sqrt 2))) 198.681 * * [simplify]: iters left: 4 (6 enodes) 198.682 * * [simplify]: iters left: 3 (18 enodes) 198.686 * * [simplify]: Extracting #0: cost 1 inf + 0 198.686 * * [simplify]: Extracting #1: cost 4 inf + 0 198.686 * * [simplify]: Extracting #2: cost 8 inf + 0 198.686 * * [simplify]: Extracting #3: cost 9 inf + 1 198.687 * * [simplify]: Extracting #4: cost 0 inf + 892 198.687 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 198.687 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) 198.687 * * * * [progress]: [ 23 / 4148 ] simplifiying candidate # 198.687 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 198.687 * * [simplify]: iters left: 6 (6 enodes) 198.689 * * [simplify]: iters left: 5 (21 enodes) 198.693 * * [simplify]: iters left: 4 (23 enodes) 198.700 * * [simplify]: Extracting #0: cost 1 inf + 0 198.700 * * [simplify]: Extracting #1: cost 4 inf + 0 198.700 * * [simplify]: Extracting #2: cost 6 inf + 1 198.700 * * [simplify]: Extracting #3: cost 9 inf + 1 198.700 * * [simplify]: Extracting #4: cost 8 inf + 2 198.700 * * [simplify]: Extracting #5: cost 1 inf + 810 198.700 * * [simplify]: Extracting #6: cost 0 inf + 972 198.701 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 198.701 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 198.701 * [simplify]: Simplifying (/ (cos th) (sqrt (cbrt 2))) 198.701 * * [simplify]: iters left: 4 (6 enodes) 198.704 * * [simplify]: iters left: 3 (18 enodes) 198.710 * * [simplify]: Extracting #0: cost 1 inf + 0 198.710 * * [simplify]: Extracting #1: cost 4 inf + 0 198.710 * * [simplify]: Extracting #2: cost 8 inf + 0 198.710 * * [simplify]: Extracting #3: cost 9 inf + 1 198.710 * * [simplify]: Extracting #4: cost 0 inf + 972 198.710 * [simplify]: Simplified to (/ (cos th) (sqrt (cbrt 2))) 198.711 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (fabs (cbrt 2))) (/ (cos th) (sqrt (cbrt 2)))) (* a2 a2)))) 198.711 * * * * [progress]: [ 24 / 4148 ] simplifiying candidate # 198.711 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 198.711 * * [simplify]: iters left: 4 (5 enodes) 198.715 * * [simplify]: iters left: 3 (17 enodes) 198.721 * * [simplify]: iters left: 2 (19 enodes) 198.727 * * [simplify]: Extracting #0: cost 1 inf + 0 198.727 * * [simplify]: Extracting #1: cost 4 inf + 0 198.727 * * [simplify]: Extracting #2: cost 5 inf + 1 198.727 * * [simplify]: Extracting #3: cost 7 inf + 1 198.727 * * [simplify]: Extracting #4: cost 0 inf + 490 198.728 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 198.728 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 198.728 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 198.728 * * [simplify]: iters left: 4 (6 enodes) 198.731 * * [simplify]: iters left: 3 (18 enodes) 198.735 * * [simplify]: Extracting #0: cost 1 inf + 0 198.735 * * [simplify]: Extracting #1: cost 4 inf + 0 198.735 * * [simplify]: Extracting #2: cost 8 inf + 0 198.735 * * [simplify]: Extracting #3: cost 9 inf + 1 198.736 * * [simplify]: Extracting #4: cost 0 inf + 732 198.736 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 198.736 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 198.736 * * * * [progress]: [ 25 / 4148 ] simplifiying candidate # 198.736 * [simplify]: Simplifying (/ 1 (sqrt 1)) 198.736 * * [simplify]: iters left: 3 (3 enodes) 198.740 * * [simplify]: iters left: 2 (11 enodes) 198.741 * * [simplify]: iters left: 1 (13 enodes) 198.743 * * [simplify]: Extracting #0: cost 1 inf + 0 198.743 * * [simplify]: Extracting #1: cost 0 inf + 1 198.743 * [simplify]: Simplified to 1 198.743 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 198.744 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 198.744 * * [simplify]: iters left: 3 (5 enodes) 198.745 * * [simplify]: iters left: 2 (15 enodes) 198.748 * * [simplify]: Extracting #0: cost 1 inf + 0 198.748 * * [simplify]: Extracting #1: cost 4 inf + 0 198.748 * * [simplify]: Extracting #2: cost 8 inf + 0 198.748 * * [simplify]: Extracting #3: cost 4 inf + 84 198.748 * * [simplify]: Extracting #4: cost 0 inf + 490 198.748 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 198.748 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 198.749 * * * * [progress]: [ 26 / 4148 ] simplifiying candidate # 198.749 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 198.749 * * [simplify]: iters left: 4 (5 enodes) 198.751 * * [simplify]: iters left: 3 (17 enodes) 198.754 * * [simplify]: iters left: 2 (19 enodes) 198.757 * * [simplify]: Extracting #0: cost 1 inf + 0 198.757 * * [simplify]: Extracting #1: cost 4 inf + 0 198.757 * * [simplify]: Extracting #2: cost 5 inf + 1 198.757 * * [simplify]: Extracting #3: cost 7 inf + 1 198.757 * * [simplify]: Extracting #4: cost 0 inf + 490 198.757 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 198.758 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 198.758 * [simplify]: Simplifying (/ (cos th) (sqrt (sqrt 2))) 198.758 * * [simplify]: iters left: 4 (6 enodes) 198.759 * * [simplify]: iters left: 3 (18 enodes) 198.763 * * [simplify]: Extracting #0: cost 1 inf + 0 198.763 * * [simplify]: Extracting #1: cost 4 inf + 0 198.763 * * [simplify]: Extracting #2: cost 8 inf + 0 198.763 * * [simplify]: Extracting #3: cost 9 inf + 1 198.763 * * [simplify]: Extracting #4: cost 0 inf + 732 198.764 * [simplify]: Simplified to (/ (cos th) (sqrt (sqrt 2))) 198.764 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) 198.764 * * * * [progress]: [ 27 / 4148 ] simplifiying candidate # 198.764 * [simplify]: Simplifying (/ 1 1) 198.764 * * [simplify]: iters left: 2 (2 enodes) 198.766 * * [simplify]: iters left: 1 (6 enodes) 198.768 * * [simplify]: Extracting #0: cost 1 inf + 0 198.768 * * [simplify]: Extracting #1: cost 0 inf + 1 198.768 * [simplify]: Simplified to 1 198.768 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 198.768 * [simplify]: Simplifying (/ (cos th) (sqrt 2)) 198.768 * * [simplify]: iters left: 3 (5 enodes) 198.771 * * [simplify]: iters left: 2 (15 enodes) 198.776 * * [simplify]: Extracting #0: cost 1 inf + 0 198.776 * * [simplify]: Extracting #1: cost 4 inf + 0 198.776 * * [simplify]: Extracting #2: cost 8 inf + 0 198.776 * * [simplify]: Extracting #3: cost 4 inf + 84 198.776 * * [simplify]: Extracting #4: cost 0 inf + 490 198.777 * [simplify]: Simplified to (/ (cos th) (sqrt 2)) 198.777 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) 198.777 * * * * [progress]: [ 28 / 4148 ] simplifiying candidate # 198.777 * * * * [progress]: [ 29 / 4148 ] simplifiying candidate # 198.777 * * * * [progress]: [ 30 / 4148 ] simplifiying candidate # 198.777 * * * * [progress]: [ 31 / 4148 ] simplifiying candidate # 198.777 * [simplify]: Simplifying (cbrt (sqrt 2)) 198.778 * * [simplify]: iters left: 2 (3 enodes) 198.780 * * [simplify]: iters left: 1 (9 enodes) 198.783 * * [simplify]: Extracting #0: cost 1 inf + 0 198.783 * * [simplify]: Extracting #1: cost 3 inf + 0 198.783 * * [simplify]: Extracting #2: cost 5 inf + 0 198.783 * * [simplify]: Extracting #3: cost 4 inf + 1 198.783 * * [simplify]: Extracting #4: cost 0 inf + 325 198.783 * [simplify]: Simplified to (cbrt (sqrt 2)) 198.783 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2)))) 198.783 * * * * [progress]: [ 32 / 4148 ] simplifiying candidate # 198.784 * [simplify]: Simplifying (sqrt (cbrt 2)) 198.784 * * [simplify]: iters left: 2 (3 enodes) 198.786 * * [simplify]: iters left: 1 (9 enodes) 198.789 * * [simplify]: Extracting #0: cost 1 inf + 0 198.789 * * [simplify]: Extracting #1: cost 3 inf + 0 198.789 * * [simplify]: Extracting #2: cost 5 inf + 0 198.789 * * [simplify]: Extracting #3: cost 4 inf + 1 198.789 * * [simplify]: Extracting #4: cost 0 inf + 405 198.789 * [simplify]: Simplified to (sqrt (cbrt 2)) 198.789 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) (sqrt (* (cbrt 2) (cbrt 2)))) (sqrt (cbrt 2))) (* a2 a2)))) 198.789 * * * * [progress]: [ 33 / 4148 ] simplifiying candidate # 198.790 * [simplify]: Simplifying (sqrt (sqrt 2)) 198.790 * * [simplify]: iters left: 2 (3 enodes) 198.792 * * [simplify]: iters left: 1 (9 enodes) 198.794 * * [simplify]: Extracting #0: cost 1 inf + 0 198.794 * * [simplify]: Extracting #1: cost 3 inf + 0 198.794 * * [simplify]: Extracting #2: cost 5 inf + 0 198.794 * * [simplify]: Extracting #3: cost 4 inf + 1 198.794 * * [simplify]: Extracting #4: cost 0 inf + 245 198.794 * [simplify]: Simplified to (sqrt (sqrt 2)) 198.794 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 198.795 * * * * [progress]: [ 34 / 4148 ] simplifiying candidate # 198.795 * [simplify]: Simplifying (sqrt 2) 198.795 * * [simplify]: iters left: 1 (2 enodes) 198.796 * * [simplify]: Extracting #0: cost 1 inf + 0 198.796 * * [simplify]: Extracting #1: cost 3 inf + 0 198.796 * * [simplify]: Extracting #2: cost 2 inf + 1 198.796 * * [simplify]: Extracting #3: cost 0 inf + 83 198.796 * [simplify]: Simplified to (sqrt 2) 198.796 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) (sqrt 1)) (sqrt 2)) (* a2 a2)))) 198.796 * * * * [progress]: [ 35 / 4148 ] simplifiying candidate # 198.796 * [simplify]: Simplifying (sqrt (sqrt 2)) 198.796 * * [simplify]: iters left: 2 (3 enodes) 198.797 * * [simplify]: iters left: 1 (9 enodes) 198.799 * * [simplify]: Extracting #0: cost 1 inf + 0 198.799 * * [simplify]: Extracting #1: cost 3 inf + 0 198.799 * * [simplify]: Extracting #2: cost 5 inf + 0 198.799 * * [simplify]: Extracting #3: cost 4 inf + 1 198.799 * * [simplify]: Extracting #4: cost 0 inf + 245 198.799 * [simplify]: Simplified to (sqrt (sqrt 2)) 198.799 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) 198.799 * * * * [progress]: [ 36 / 4148 ] simplifiying candidate # 198.800 * [simplify]: Simplifying (sqrt 2) 198.800 * * [simplify]: iters left: 1 (2 enodes) 198.801 * * [simplify]: Extracting #0: cost 1 inf + 0 198.801 * * [simplify]: Extracting #1: cost 3 inf + 0 198.801 * * [simplify]: Extracting #2: cost 2 inf + 1 198.801 * * [simplify]: Extracting #3: cost 0 inf + 83 198.801 * [simplify]: Simplified to (sqrt 2) 198.801 * [simplify]: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2)))) 198.801 * * * * [progress]: [ 37 / 4148 ] simplifiying candidate # 198.801 * [simplify]: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) 198.801 * * [simplify]: iters left: 4 (4 enodes) 198.802 * * [simplify]: iters left: 3 (12 enodes) 198.803 * * [simplify]: Extracting #0: cost 1 inf + 0 198.803 * * [simplify]: Extracting #1: cost 3 inf + 0 198.803 * * [simplify]: Extracting #2: cost 5 inf + 0 198.804 * * [simplify]: Extracting #3: cost 7 inf + 0 198.804 * * [simplify]: Extracting #4: cost 6 inf + 1 198.804 * * [simplify]: Extracting #5: cost 0 inf + 767 198.804 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 198.804 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2)))) 198.804 * * * * [progress]: [ 38 / 4148 ] simplifiying candidate # 198.804 * [simplify]: Simplifying (sqrt (cos th)) 198.804 * * [simplify]: iters left: 2 (3 enodes) 198.805 * * [simplify]: iters left: 1 (9 enodes) 198.806 * * [simplify]: Extracting #0: cost 1 inf + 0 198.806 * * [simplify]: Extracting #1: cost 3 inf + 0 198.806 * * [simplify]: Extracting #2: cost 5 inf + 0 198.806 * * [simplify]: Extracting #3: cost 4 inf + 1 198.806 * * [simplify]: Extracting #4: cost 0 inf + 325 198.806 * [simplify]: Simplified to (sqrt (cos th)) 198.806 * [simplify]: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2)))) 198.806 * * * * [progress]: [ 39 / 4148 ] simplifiying candidate # 198.806 * * * * [progress]: [ 40 / 4148 ] simplifiying candidate #real (real->posit16 (/ (cos th) (sqrt 2)))) (* a2 a2))))> 198.806 * * * * [progress]: [ 41 / 4148 ] simplifiying candidate # 198.806 * * * * [progress]: [ 42 / 4148 ] simplifiying candidate # 198.807 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 198.807 * * [simplify]: iters left: 6 (19 enodes) 198.814 * * [simplify]: iters left: 5 (73 enodes) 198.827 * * [simplify]: iters left: 4 (132 enodes) 198.867 * * [simplify]: iters left: 3 (354 enodes) 199.078 * * [simplify]: Extracting #0: cost 1 inf + 0 199.078 * * [simplify]: Extracting #1: cost 60 inf + 0 199.079 * * [simplify]: Extracting #2: cost 169 inf + 1 199.081 * * [simplify]: Extracting #3: cost 177 inf + 256 199.083 * * [simplify]: Extracting #4: cost 168 inf + 1603 199.086 * * [simplify]: Extracting #5: cost 138 inf + 10315 199.104 * * [simplify]: Extracting #6: cost 30 inf + 62853 199.119 * * [simplify]: Extracting #7: cost 0 inf + 78473 199.144 * * [simplify]: Extracting #8: cost 0 inf + 78393 199.160 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 199.160 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 199.160 * * * * [progress]: [ 43 / 4148 ] simplifiying candidate # 199.160 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 199.160 * * [simplify]: iters left: 6 (21 enodes) 199.168 * * [simplify]: iters left: 5 (83 enodes) 199.187 * * [simplify]: iters left: 4 (138 enodes) 199.250 * * [simplify]: iters left: 3 (320 enodes) 199.417 * * [simplify]: Extracting #0: cost 1 inf + 0 199.417 * * [simplify]: Extracting #1: cost 61 inf + 0 199.417 * * [simplify]: Extracting #2: cost 159 inf + 1 199.419 * * [simplify]: Extracting #3: cost 165 inf + 368 199.421 * * [simplify]: Extracting #4: cost 157 inf + 1826 199.422 * * [simplify]: Extracting #5: cost 149 inf + 2896 199.429 * * [simplify]: Extracting #6: cost 86 inf + 31340 199.448 * * [simplify]: Extracting #7: cost 8 inf + 69785 199.462 * * [simplify]: Extracting #8: cost 0 inf + 73959 199.484 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 199.484 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 199.484 * * * * [progress]: [ 44 / 4148 ] simplifiying candidate # 199.485 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 199.485 * * [simplify]: iters left: 6 (19 enodes) 199.495 * * [simplify]: iters left: 5 (72 enodes) 199.518 * * [simplify]: iters left: 4 (134 enodes) 199.555 * * [simplify]: iters left: 3 (351 enodes) 199.753 * * [simplify]: Extracting #0: cost 1 inf + 0 199.754 * * [simplify]: Extracting #1: cost 54 inf + 0 199.754 * * [simplify]: Extracting #2: cost 165 inf + 1 199.755 * * [simplify]: Extracting #3: cost 175 inf + 144 199.756 * * [simplify]: Extracting #4: cost 169 inf + 995 199.757 * * [simplify]: Extracting #5: cost 157 inf + 3015 199.759 * * [simplify]: Extracting #6: cost 106 inf + 23915 199.772 * * [simplify]: Extracting #7: cost 20 inf + 65814 199.791 * * [simplify]: Extracting #8: cost 0 inf + 76887 199.807 * * [simplify]: Extracting #9: cost 0 inf + 76847 199.831 * [simplify]: Simplified to (- (log a1) (- (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cos th)))) 199.831 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log a1) (- (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 199.831 * * * * [progress]: [ 45 / 4148 ] simplifiying candidate # 199.832 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 199.832 * * [simplify]: iters left: 6 (21 enodes) 199.839 * * [simplify]: iters left: 5 (83 enodes) 199.854 * * [simplify]: iters left: 4 (137 enodes) 199.889 * * [simplify]: iters left: 3 (329 enodes) 200.068 * * [simplify]: Extracting #0: cost 1 inf + 0 200.068 * * [simplify]: Extracting #1: cost 62 inf + 0 200.068 * * [simplify]: Extracting #2: cost 156 inf + 1 200.069 * * [simplify]: Extracting #3: cost 163 inf + 185 200.070 * * [simplify]: Extracting #4: cost 153 inf + 1895 200.071 * * [simplify]: Extracting #5: cost 147 inf + 2584 200.072 * * [simplify]: Extracting #6: cost 129 inf + 8552 200.078 * * [simplify]: Extracting #7: cost 45 inf + 49866 200.092 * * [simplify]: Extracting #8: cost 1 inf + 71459 200.121 * * [simplify]: Extracting #9: cost 0 inf + 71601 200.148 * [simplify]: Simplified to (+ (log (cos th)) (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 200.148 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log (cos th)) (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 200.148 * * * * [progress]: [ 46 / 4148 ] simplifiying candidate # 200.149 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 200.149 * * [simplify]: iters left: 6 (20 enodes) 200.160 * * [simplify]: iters left: 5 (77 enodes) 200.186 * * [simplify]: iters left: 4 (139 enodes) 200.246 * * [simplify]: iters left: 3 (314 enodes) 200.405 * * [simplify]: Extracting #0: cost 1 inf + 0 200.405 * * [simplify]: Extracting #1: cost 74 inf + 0 200.407 * * [simplify]: Extracting #2: cost 185 inf + 1 200.408 * * [simplify]: Extracting #3: cost 189 inf + 592 200.410 * * [simplify]: Extracting #4: cost 181 inf + 1846 200.413 * * [simplify]: Extracting #5: cost 162 inf + 5912 200.428 * * [simplify]: Extracting #6: cost 57 inf + 56673 200.457 * * [simplify]: Extracting #7: cost 2 inf + 85612 200.489 * * [simplify]: Extracting #8: cost 0 inf + 86266 200.516 * * [simplify]: Extracting #9: cost 0 inf + 86186 200.534 * [simplify]: Simplified to (- (log a1) (- (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cos th)))) 200.534 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log a1) (- (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 200.534 * * * * [progress]: [ 47 / 4148 ] simplifiying candidate # 200.534 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 200.534 * * [simplify]: iters left: 6 (21 enodes) 200.544 * * [simplify]: iters left: 5 (83 enodes) 200.571 * * [simplify]: iters left: 4 (132 enodes) 200.618 * * [simplify]: iters left: 3 (322 enodes) 200.790 * * [simplify]: Extracting #0: cost 1 inf + 0 200.790 * * [simplify]: Extracting #1: cost 57 inf + 0 200.791 * * [simplify]: Extracting #2: cost 161 inf + 1 200.792 * * [simplify]: Extracting #3: cost 170 inf + 297 200.794 * * [simplify]: Extracting #4: cost 162 inf + 1501 200.795 * * [simplify]: Extracting #5: cost 153 inf + 2896 200.801 * * [simplify]: Extracting #6: cost 106 inf + 22070 200.822 * * [simplify]: Extracting #7: cost 12 inf + 66380 200.835 * * [simplify]: Extracting #8: cost 0 inf + 72416 200.849 * * [simplify]: Extracting #9: cost 0 inf + 72376 200.871 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 200.871 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 200.871 * * * * [progress]: [ 48 / 4148 ] simplifiying candidate # 200.872 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 200.872 * * [simplify]: iters left: 6 (20 enodes) 200.883 * * [simplify]: iters left: 5 (82 enodes) 200.916 * * [simplify]: iters left: 4 (145 enodes) 200.959 * * [simplify]: iters left: 3 (305 enodes) 201.164 * * [simplify]: Extracting #0: cost 1 inf + 0 201.164 * * [simplify]: Extracting #1: cost 54 inf + 0 201.165 * * [simplify]: Extracting #2: cost 140 inf + 1 201.166 * * [simplify]: Extracting #3: cost 146 inf + 185 201.167 * * [simplify]: Extracting #4: cost 137 inf + 1743 201.169 * * [simplify]: Extracting #5: cost 133 inf + 2018 201.171 * * [simplify]: Extracting #6: cost 115 inf + 7646 201.182 * * [simplify]: Extracting #7: cost 38 inf + 43811 201.204 * * [simplify]: Extracting #8: cost 0 inf + 62645 201.228 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 201.228 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 201.228 * * * * [progress]: [ 49 / 4148 ] simplifiying candidate # 201.229 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 201.229 * * [simplify]: iters left: 6 (21 enodes) 201.242 * * [simplify]: iters left: 5 (82 enodes) 201.269 * * [simplify]: iters left: 4 (135 enodes) 201.331 * * [simplify]: iters left: 3 (332 enodes) 201.498 * * [simplify]: Extracting #0: cost 1 inf + 0 201.498 * * [simplify]: Extracting #1: cost 51 inf + 0 201.499 * * [simplify]: Extracting #2: cost 152 inf + 1 201.500 * * [simplify]: Extracting #3: cost 168 inf + 185 201.502 * * [simplify]: Extracting #4: cost 160 inf + 1338 201.503 * * [simplify]: Extracting #5: cost 153 inf + 2389 201.508 * * [simplify]: Extracting #6: cost 113 inf + 15472 201.527 * * [simplify]: Extracting #7: cost 15 inf + 63246 201.555 * * [simplify]: Extracting #8: cost 0 inf + 71406 201.568 * * [simplify]: Extracting #9: cost 0 inf + 71326 201.581 * [simplify]: Simplified to (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 201.581 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 201.582 * * * * [progress]: [ 50 / 4148 ] simplifiying candidate # 201.582 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 201.582 * * [simplify]: iters left: 6 (20 enodes) 201.593 * * [simplify]: iters left: 5 (82 enodes) 201.608 * * [simplify]: iters left: 4 (144 enodes) 201.648 * * [simplify]: iters left: 3 (308 enodes) 201.781 * * [simplify]: Extracting #0: cost 1 inf + 0 201.782 * * [simplify]: Extracting #1: cost 54 inf + 0 201.782 * * [simplify]: Extracting #2: cost 134 inf + 1 201.783 * * [simplify]: Extracting #3: cost 142 inf + 297 201.783 * * [simplify]: Extracting #4: cost 135 inf + 1571 201.784 * * [simplify]: Extracting #5: cost 128 inf + 2330 201.786 * * [simplify]: Extracting #6: cost 89 inf + 15727 201.797 * * [simplify]: Extracting #7: cost 14 inf + 54103 201.808 * * [simplify]: Extracting #8: cost 0 inf + 61237 201.819 * [simplify]: Simplified to (- (- (log a1) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cos th)))) 201.819 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log a1) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 201.819 * * * * [progress]: [ 51 / 4148 ] simplifiying candidate # 201.819 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 201.819 * * [simplify]: iters left: 6 (20 enodes) 201.825 * * [simplify]: iters left: 5 (79 enodes) 201.841 * * [simplify]: iters left: 4 (146 enodes) 201.897 * * [simplify]: iters left: 3 (287 enodes) 202.037 * * [simplify]: Extracting #0: cost 1 inf + 0 202.037 * * [simplify]: Extracting #1: cost 58 inf + 0 202.038 * * [simplify]: Extracting #2: cost 140 inf + 1 202.038 * * [simplify]: Extracting #3: cost 150 inf + 73 202.039 * * [simplify]: Extracting #4: cost 141 inf + 1219 202.040 * * [simplify]: Extracting #5: cost 135 inf + 2019 202.041 * * [simplify]: Extracting #6: cost 119 inf + 7361 202.048 * * [simplify]: Extracting #7: cost 30 inf + 49381 202.070 * * [simplify]: Extracting #8: cost 0 inf + 63455 202.095 * * [simplify]: Extracting #9: cost 0 inf + 63454 202.117 * [simplify]: Simplified to (- (+ (- (log a1) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) 202.117 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (+ (- (log a1) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 202.117 * * * * [progress]: [ 52 / 4148 ] simplifiying candidate # 202.118 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 202.118 * * [simplify]: iters left: 6 (19 enodes) 202.128 * * [simplify]: iters left: 5 (72 enodes) 202.146 * * [simplify]: iters left: 4 (136 enodes) 202.179 * * [simplify]: iters left: 3 (346 enodes) 202.352 * * [simplify]: Extracting #0: cost 1 inf + 0 202.352 * * [simplify]: Extracting #1: cost 64 inf + 0 202.353 * * [simplify]: Extracting #2: cost 161 inf + 1 202.354 * * [simplify]: Extracting #3: cost 172 inf + 185 202.356 * * [simplify]: Extracting #4: cost 166 inf + 995 202.358 * * [simplify]: Extracting #5: cost 157 inf + 2481 202.361 * * [simplify]: Extracting #6: cost 133 inf + 11496 202.378 * * [simplify]: Extracting #7: cost 28 inf + 62292 202.396 * * [simplify]: Extracting #8: cost 0 inf + 76901 202.411 * * [simplify]: Extracting #9: cost 0 inf + 76861 202.426 * [simplify]: Simplified to (+ (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log (cos th))) 202.426 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 202.426 * * * * [progress]: [ 53 / 4148 ] simplifiying candidate # 202.427 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 202.427 * * [simplify]: iters left: 6 (21 enodes) 202.440 * * [simplify]: iters left: 5 (82 enodes) 202.467 * * [simplify]: iters left: 4 (142 enodes) 202.518 * * [simplify]: iters left: 3 (324 enodes) 202.703 * * [simplify]: Extracting #0: cost 1 inf + 0 202.703 * * [simplify]: Extracting #1: cost 62 inf + 0 202.704 * * [simplify]: Extracting #2: cost 155 inf + 1 202.705 * * [simplify]: Extracting #3: cost 161 inf + 297 202.707 * * [simplify]: Extracting #4: cost 156 inf + 995 202.709 * * [simplify]: Extracting #5: cost 147 inf + 2470 202.714 * * [simplify]: Extracting #6: cost 93 inf + 23355 202.736 * * [simplify]: Extracting #7: cost 13 inf + 64265 202.763 * * [simplify]: Extracting #8: cost 0 inf + 71143 202.782 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 202.782 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 202.782 * * * * [progress]: [ 54 / 4148 ] simplifiying candidate # 202.782 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 202.782 * * [simplify]: iters left: 6 (19 enodes) 202.790 * * [simplify]: iters left: 5 (71 enodes) 202.803 * * [simplify]: iters left: 4 (137 enodes) 202.854 * * [simplify]: iters left: 3 (335 enodes) 203.051 * * [simplify]: Extracting #0: cost 1 inf + 0 203.051 * * [simplify]: Extracting #1: cost 58 inf + 0 203.052 * * [simplify]: Extracting #2: cost 158 inf + 1 203.052 * * [simplify]: Extracting #3: cost 170 inf + 144 203.053 * * [simplify]: Extracting #4: cost 162 inf + 1450 203.054 * * [simplify]: Extracting #5: cost 157 inf + 2319 203.055 * * [simplify]: Extracting #6: cost 153 inf + 2763 203.058 * * [simplify]: Extracting #7: cost 99 inf + 24377 203.078 * * [simplify]: Extracting #8: cost 11 inf + 68365 203.093 * * [simplify]: Extracting #9: cost 0 inf + 74713 203.107 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) 203.107 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 203.108 * * * * [progress]: [ 55 / 4148 ] simplifiying candidate # 203.108 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 203.108 * * [simplify]: iters left: 6 (21 enodes) 203.117 * * [simplify]: iters left: 5 (82 enodes) 203.147 * * [simplify]: iters left: 4 (141 enodes) 203.208 * * [simplify]: iters left: 3 (323 enodes) 203.403 * * [simplify]: Extracting #0: cost 1 inf + 0 203.403 * * [simplify]: Extracting #1: cost 62 inf + 0 203.403 * * [simplify]: Extracting #2: cost 154 inf + 1 203.404 * * [simplify]: Extracting #3: cost 162 inf + 185 203.405 * * [simplify]: Extracting #4: cost 153 inf + 1691 203.406 * * [simplify]: Extracting #5: cost 149 inf + 2188 203.407 * * [simplify]: Extracting #6: cost 146 inf + 2511 203.409 * * [simplify]: Extracting #7: cost 106 inf + 16648 203.418 * * [simplify]: Extracting #8: cost 14 inf + 63151 203.444 * * [simplify]: Extracting #9: cost 0 inf + 70852 203.471 * [simplify]: Simplified to (+ (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) 203.471 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log (cos th)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 203.471 * * * * [progress]: [ 56 / 4148 ] simplifiying candidate # 203.471 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 203.472 * * [simplify]: iters left: 6 (20 enodes) 203.483 * * [simplify]: iters left: 5 (76 enodes) 203.509 * * [simplify]: iters left: 4 (143 enodes) 203.566 * * [simplify]: iters left: 3 (311 enodes) 203.748 * * [simplify]: Extracting #0: cost 1 inf + 0 203.748 * * [simplify]: Extracting #1: cost 63 inf + 0 203.748 * * [simplify]: Extracting #2: cost 157 inf + 1 203.749 * * [simplify]: Extracting #3: cost 166 inf + 185 203.750 * * [simplify]: Extracting #4: cost 159 inf + 1207 203.751 * * [simplify]: Extracting #5: cost 151 inf + 2248 203.752 * * [simplify]: Extracting #6: cost 126 inf + 9786 203.760 * * [simplify]: Extracting #7: cost 30 inf + 56938 203.787 * * [simplify]: Extracting #8: cost 0 inf + 72611 203.813 * * [simplify]: Extracting #9: cost 0 inf + 72371 203.838 * [simplify]: Simplified to (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 203.838 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 203.839 * * * * [progress]: [ 57 / 4148 ] simplifiying candidate # 203.839 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 203.839 * * [simplify]: iters left: 6 (21 enodes) 203.853 * * [simplify]: iters left: 5 (83 enodes) 203.880 * * [simplify]: iters left: 4 (131 enodes) 203.913 * * [simplify]: iters left: 3 (326 enodes) 204.122 * * [simplify]: Extracting #0: cost 1 inf + 0 204.123 * * [simplify]: Extracting #1: cost 61 inf + 0 204.124 * * [simplify]: Extracting #2: cost 163 inf + 1 204.125 * * [simplify]: Extracting #3: cost 172 inf + 297 204.127 * * [simplify]: Extracting #4: cost 164 inf + 1502 204.128 * * [simplify]: Extracting #5: cost 157 inf + 2584 204.130 * * [simplify]: Extracting #6: cost 155 inf + 2746 204.134 * * [simplify]: Extracting #7: cost 119 inf + 16800 204.153 * * [simplify]: Extracting #8: cost 26 inf + 60272 204.181 * * [simplify]: Extracting #9: cost 0 inf + 73191 204.209 * * [simplify]: Extracting #10: cost 0 inf + 73151 204.239 * [simplify]: Simplified to (+ (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log (cos th))) 204.239 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log a1) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 204.240 * * * * [progress]: [ 58 / 4148 ] simplifiying candidate # 204.240 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 204.240 * * [simplify]: iters left: 6 (20 enodes) 204.250 * * [simplify]: iters left: 5 (82 enodes) 204.265 * * [simplify]: iters left: 4 (131 enodes) 204.304 * * [simplify]: iters left: 3 (289 enodes) 204.429 * * [simplify]: Extracting #0: cost 1 inf + 0 204.429 * * [simplify]: Extracting #1: cost 51 inf + 0 204.430 * * [simplify]: Extracting #2: cost 137 inf + 1 204.430 * * [simplify]: Extracting #3: cost 145 inf + 185 204.431 * * [simplify]: Extracting #4: cost 137 inf + 1408 204.431 * * [simplify]: Extracting #5: cost 133 inf + 1612 204.433 * * [simplify]: Extracting #6: cost 102 inf + 13207 204.440 * * [simplify]: Extracting #7: cost 24 inf + 49391 204.453 * * [simplify]: Extracting #8: cost 0 inf + 61617 204.475 * [simplify]: Simplified to (+ (- (- (log a1) (log (cbrt (cbrt (sqrt 2))))) (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cos th))) 204.475 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (- (log a1) (log (cbrt (cbrt (sqrt 2))))) (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 204.475 * * * * [progress]: [ 59 / 4148 ] simplifiying candidate # 204.476 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 204.476 * * [simplify]: iters left: 6 (21 enodes) 204.489 * * [simplify]: iters left: 5 (82 enodes) 204.518 * * [simplify]: iters left: 4 (133 enodes) 204.576 * * [simplify]: iters left: 3 (328 enodes) 204.780 * * [simplify]: Extracting #0: cost 1 inf + 0 204.780 * * [simplify]: Extracting #1: cost 56 inf + 0 204.781 * * [simplify]: Extracting #2: cost 160 inf + 1 204.783 * * [simplify]: Extracting #3: cost 171 inf + 297 204.784 * * [simplify]: Extracting #4: cost 164 inf + 1519 204.786 * * [simplify]: Extracting #5: cost 158 inf + 2198 204.790 * * [simplify]: Extracting #6: cost 125 inf + 12997 204.811 * * [simplify]: Extracting #7: cost 28 inf + 59836 204.836 * * [simplify]: Extracting #8: cost 0 inf + 73476 204.863 * [simplify]: Simplified to (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 204.863 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 204.863 * * * * [progress]: [ 60 / 4148 ] simplifiying candidate # 204.864 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 204.864 * * [simplify]: iters left: 6 (20 enodes) 204.875 * * [simplify]: iters left: 5 (82 enodes) 204.904 * * [simplify]: iters left: 4 (130 enodes) 204.962 * * [simplify]: iters left: 3 (291 enodes) 205.116 * * [simplify]: Extracting #0: cost 1 inf + 0 205.116 * * [simplify]: Extracting #1: cost 51 inf + 0 205.117 * * [simplify]: Extracting #2: cost 134 inf + 1 205.118 * * [simplify]: Extracting #3: cost 142 inf + 297 205.120 * * [simplify]: Extracting #4: cost 136 inf + 1347 205.121 * * [simplify]: Extracting #5: cost 132 inf + 1571 205.123 * * [simplify]: Extracting #6: cost 110 inf + 7971 205.137 * * [simplify]: Extracting #7: cost 20 inf + 49400 205.158 * * [simplify]: Extracting #8: cost 0 inf + 59987 205.172 * [simplify]: Simplified to (+ (- (log a1) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cos th))) 205.172 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log a1) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 205.172 * * * * [progress]: [ 61 / 4148 ] simplifiying candidate # 205.172 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 205.172 * * [simplify]: iters left: 6 (20 enodes) 205.178 * * [simplify]: iters left: 5 (79 enodes) 205.193 * * [simplify]: iters left: 4 (133 enodes) 205.244 * * [simplify]: iters left: 3 (275 enodes) 205.364 * * [simplify]: Extracting #0: cost 1 inf + 0 205.365 * * [simplify]: Extracting #1: cost 54 inf + 0 205.365 * * [simplify]: Extracting #2: cost 138 inf + 1 205.366 * * [simplify]: Extracting #3: cost 145 inf + 185 205.366 * * [simplify]: Extracting #4: cost 138 inf + 1106 205.367 * * [simplify]: Extracting #5: cost 133 inf + 1572 205.368 * * [simplify]: Extracting #6: cost 115 inf + 6531 205.374 * * [simplify]: Extracting #7: cost 41 inf + 39707 205.385 * * [simplify]: Extracting #8: cost 1 inf + 60758 205.395 * * [simplify]: Extracting #9: cost 0 inf + 61333 205.406 * * [simplify]: Extracting #10: cost 0 inf + 61292 205.424 * [simplify]: Simplified to (+ (- (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) 205.424 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (- (log (cos th)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 205.424 * * * * [progress]: [ 62 / 4148 ] simplifiying candidate # 205.425 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 205.425 * * [simplify]: iters left: 6 (20 enodes) 205.437 * * [simplify]: iters left: 5 (77 enodes) 205.462 * * [simplify]: iters left: 4 (133 enodes) 205.519 * * [simplify]: iters left: 3 (321 enodes) 205.687 * * [simplify]: Extracting #0: cost 1 inf + 0 205.687 * * [simplify]: Extracting #1: cost 65 inf + 0 205.688 * * [simplify]: Extracting #2: cost 153 inf + 1 205.689 * * [simplify]: Extracting #3: cost 167 inf + 185 205.690 * * [simplify]: Extracting #4: cost 155 inf + 2169 205.692 * * [simplify]: Extracting #5: cost 145 inf + 3695 205.701 * * [simplify]: Extracting #6: cost 85 inf + 26600 205.725 * * [simplify]: Extracting #7: cost 5 inf + 68013 205.749 * * [simplify]: Extracting #8: cost 0 inf + 70474 205.762 * * [simplify]: Extracting #9: cost 0 inf + 70354 205.776 * [simplify]: Simplified to (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1)) 205.776 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 205.776 * * * * [progress]: [ 63 / 4148 ] simplifiying candidate # 205.777 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 205.777 * * [simplify]: iters left: 6 (20 enodes) 205.787 * * [simplify]: iters left: 5 (79 enodes) 205.814 * * [simplify]: iters left: 4 (134 enodes) 205.848 * * [simplify]: iters left: 3 (284 enodes) 205.982 * * [simplify]: Extracting #0: cost 1 inf + 0 205.982 * * [simplify]: Extracting #1: cost 53 inf + 0 205.983 * * [simplify]: Extracting #2: cost 142 inf + 1 205.984 * * [simplify]: Extracting #3: cost 150 inf + 185 205.985 * * [simplify]: Extracting #4: cost 140 inf + 1622 205.987 * * [simplify]: Extracting #5: cost 134 inf + 2240 205.989 * * [simplify]: Extracting #6: cost 112 inf + 8266 205.996 * * [simplify]: Extracting #7: cost 72 inf + 24913 206.005 * * [simplify]: Extracting #8: cost 10 inf + 57056 206.017 * * [simplify]: Extracting #9: cost 0 inf + 63372 206.031 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 206.031 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 206.032 * * * * [progress]: [ 64 / 4148 ] simplifiying candidate # 206.032 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 206.032 * * [simplify]: iters left: 6 (20 enodes) 206.039 * * [simplify]: iters left: 5 (76 enodes) 206.052 * * [simplify]: iters left: 4 (135 enodes) 206.100 * * [simplify]: iters left: 3 (320 enodes) 206.333 * * [simplify]: Extracting #0: cost 1 inf + 0 206.333 * * [simplify]: Extracting #1: cost 58 inf + 0 206.334 * * [simplify]: Extracting #2: cost 144 inf + 1 206.336 * * [simplify]: Extracting #3: cost 160 inf + 73 206.337 * * [simplify]: Extracting #4: cost 153 inf + 984 206.339 * * [simplify]: Extracting #5: cost 147 inf + 1803 206.342 * * [simplify]: Extracting #6: cost 109 inf + 14606 206.354 * * [simplify]: Extracting #7: cost 41 inf + 47063 206.380 * * [simplify]: Extracting #8: cost 0 inf + 68754 206.407 * * [simplify]: Extracting #9: cost 0 inf + 68714 206.420 * [simplify]: Simplified to (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1)) 206.420 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 206.420 * * * * [progress]: [ 65 / 4148 ] simplifiying candidate # 206.420 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 206.421 * * [simplify]: iters left: 6 (20 enodes) 206.426 * * [simplify]: iters left: 5 (79 enodes) 206.440 * * [simplify]: iters left: 4 (133 enodes) 206.494 * * [simplify]: iters left: 3 (285 enodes) 206.639 * * [simplify]: Extracting #0: cost 1 inf + 0 206.640 * * [simplify]: Extracting #1: cost 57 inf + 0 206.641 * * [simplify]: Extracting #2: cost 150 inf + 1 206.642 * * [simplify]: Extracting #3: cost 160 inf + 185 206.644 * * [simplify]: Extracting #4: cost 150 inf + 1582 206.645 * * [simplify]: Extracting #5: cost 144 inf + 2482 206.651 * * [simplify]: Extracting #6: cost 94 inf + 21496 206.670 * * [simplify]: Extracting #7: cost 10 inf + 62372 206.684 * * [simplify]: Extracting #8: cost 0 inf + 67863 206.698 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) 206.698 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) (log (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 206.698 * * * * [progress]: [ 66 / 4148 ] simplifiying candidate # 206.698 * [simplify]: Simplifying (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 206.698 * * [simplify]: iters left: 6 (19 enodes) 206.704 * * [simplify]: iters left: 5 (73 enodes) 206.716 * * [simplify]: iters left: 4 (132 enodes) 206.740 * * [simplify]: iters left: 3 (268 enodes) 206.845 * * [simplify]: Extracting #0: cost 1 inf + 0 206.845 * * [simplify]: Extracting #1: cost 60 inf + 0 206.846 * * [simplify]: Extracting #2: cost 142 inf + 1 206.847 * * [simplify]: Extracting #3: cost 150 inf + 185 206.848 * * [simplify]: Extracting #4: cost 142 inf + 1430 206.850 * * [simplify]: Extracting #5: cost 133 inf + 2523 206.855 * * [simplify]: Extracting #6: cost 80 inf + 23214 206.868 * * [simplify]: Extracting #7: cost 6 inf + 60252 206.879 * * [simplify]: Extracting #8: cost 0 inf + 63224 206.890 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 206.890 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 206.890 * * * * [progress]: [ 67 / 4148 ] simplifiying candidate # 206.891 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 206.891 * * [simplify]: iters left: 6 (18 enodes) 206.896 * * [simplify]: iters left: 5 (71 enodes) 206.917 * * [simplify]: iters left: 4 (121 enodes) 206.949 * * [simplify]: iters left: 3 (303 enodes) 207.075 * * [simplify]: Extracting #0: cost 1 inf + 0 207.075 * * [simplify]: Extracting #1: cost 42 inf + 0 207.075 * * [simplify]: Extracting #2: cost 130 inf + 1 207.076 * * [simplify]: Extracting #3: cost 143 inf + 297 207.077 * * [simplify]: Extracting #4: cost 131 inf + 2081 207.078 * * [simplify]: Extracting #5: cost 124 inf + 2881 207.082 * * [simplify]: Extracting #6: cost 94 inf + 12510 207.087 * * [simplify]: Extracting #7: cost 57 inf + 29692 207.097 * * [simplify]: Extracting #8: cost 4 inf + 56177 207.109 * * [simplify]: Extracting #9: cost 0 inf + 57955 207.120 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 207.120 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 207.121 * * * * [progress]: [ 68 / 4148 ] simplifiying candidate # 207.121 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 207.121 * * [simplify]: iters left: 6 (20 enodes) 207.128 * * [simplify]: iters left: 5 (81 enodes) 207.142 * * [simplify]: iters left: 4 (127 enodes) 207.172 * * [simplify]: iters left: 3 (284 enodes) 207.311 * * [simplify]: Extracting #0: cost 1 inf + 0 207.311 * * [simplify]: Extracting #1: cost 45 inf + 0 207.312 * * [simplify]: Extracting #2: cost 131 inf + 1 207.312 * * [simplify]: Extracting #3: cost 139 inf + 256 207.313 * * [simplify]: Extracting #4: cost 132 inf + 1262 207.314 * * [simplify]: Extracting #5: cost 119 inf + 3243 207.316 * * [simplify]: Extracting #6: cost 72 inf + 21936 207.328 * * [simplify]: Extracting #7: cost 7 inf + 52559 207.339 * * [simplify]: Extracting #8: cost 0 inf + 56536 207.350 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 207.350 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 207.351 * * * * [progress]: [ 69 / 4148 ] simplifiying candidate # 207.351 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 207.351 * * [simplify]: iters left: 6 (18 enodes) 207.356 * * [simplify]: iters left: 5 (70 enodes) 207.372 * * [simplify]: iters left: 4 (125 enodes) 207.426 * * [simplify]: iters left: 3 (303 enodes) 207.579 * * [simplify]: Extracting #0: cost 1 inf + 0 207.579 * * [simplify]: Extracting #1: cost 42 inf + 0 207.580 * * [simplify]: Extracting #2: cost 135 inf + 1 207.581 * * [simplify]: Extracting #3: cost 147 inf + 368 207.583 * * [simplify]: Extracting #4: cost 136 inf + 2011 207.585 * * [simplify]: Extracting #5: cost 129 inf + 2960 207.589 * * [simplify]: Extracting #6: cost 85 inf + 19186 207.599 * * [simplify]: Extracting #7: cost 22 inf + 49556 207.611 * * [simplify]: Extracting #8: cost 0 inf + 60701 207.622 * * [simplify]: Extracting #9: cost 0 inf + 60661 207.643 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 207.643 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 207.643 * * * * [progress]: [ 70 / 4148 ] simplifiying candidate # 207.644 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 207.644 * * [simplify]: iters left: 6 (20 enodes) 207.657 * * [simplify]: iters left: 5 (81 enodes) 207.685 * * [simplify]: iters left: 4 (126 enodes) 207.736 * * [simplify]: iters left: 3 (283 enodes) 207.845 * * [simplify]: Extracting #0: cost 1 inf + 0 207.845 * * [simplify]: Extracting #1: cost 46 inf + 0 207.845 * * [simplify]: Extracting #2: cost 132 inf + 1 207.846 * * [simplify]: Extracting #3: cost 140 inf + 185 207.847 * * [simplify]: Extracting #4: cost 133 inf + 1078 207.847 * * [simplify]: Extracting #5: cost 120 inf + 2881 207.850 * * [simplify]: Extracting #6: cost 77 inf + 18547 207.857 * * [simplify]: Extracting #7: cost 12 inf + 49814 207.870 * * [simplify]: Extracting #8: cost 0 inf + 56196 207.891 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 207.891 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 207.891 * * * * [progress]: [ 71 / 4148 ] simplifiying candidate # 207.892 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 207.892 * * [simplify]: iters left: 6 (19 enodes) 207.903 * * [simplify]: iters left: 5 (75 enodes) 207.917 * * [simplify]: iters left: 4 (128 enodes) 207.945 * * [simplify]: iters left: 3 (275 enodes) 208.032 * * [simplify]: Extracting #0: cost 1 inf + 0 208.033 * * [simplify]: Extracting #1: cost 52 inf + 0 208.033 * * [simplify]: Extracting #2: cost 150 inf + 1 208.034 * * [simplify]: Extracting #3: cost 162 inf + 185 208.034 * * [simplify]: Extracting #4: cost 151 inf + 1636 208.035 * * [simplify]: Extracting #5: cost 142 inf + 2669 208.038 * * [simplify]: Extracting #6: cost 96 inf + 18804 208.047 * * [simplify]: Extracting #7: cost 14 inf + 57750 208.058 * * [simplify]: Extracting #8: cost 0 inf + 66154 208.070 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 208.070 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 208.070 * * * * [progress]: [ 72 / 4148 ] simplifiying candidate # 208.071 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 208.071 * * [simplify]: iters left: 6 (20 enodes) 208.078 * * [simplify]: iters left: 5 (81 enodes) 208.101 * * [simplify]: iters left: 4 (124 enodes) 208.148 * * [simplify]: iters left: 3 (292 enodes) 208.272 * * [simplify]: Extracting #0: cost 1 inf + 0 208.272 * * [simplify]: Extracting #1: cost 46 inf + 0 208.273 * * [simplify]: Extracting #2: cost 134 inf + 1 208.275 * * [simplify]: Extracting #3: cost 146 inf + 256 208.276 * * [simplify]: Extracting #4: cost 140 inf + 1160 208.278 * * [simplify]: Extracting #5: cost 128 inf + 2709 208.282 * * [simplify]: Extracting #6: cost 76 inf + 22265 208.301 * * [simplify]: Extracting #7: cost 10 inf + 53558 208.312 * * [simplify]: Extracting #8: cost 0 inf + 58494 208.322 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 208.323 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 208.323 * * * * [progress]: [ 73 / 4148 ] simplifiying candidate # 208.323 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 208.323 * * [simplify]: iters left: 6 (19 enodes) 208.329 * * [simplify]: iters left: 5 (80 enodes) 208.357 * * [simplify]: iters left: 4 (118 enodes) 208.392 * * [simplify]: iters left: 3 (272 enodes) 208.529 * * [simplify]: Extracting #0: cost 1 inf + 0 208.529 * * [simplify]: Extracting #1: cost 42 inf + 0 208.530 * * [simplify]: Extracting #2: cost 129 inf + 1 208.530 * * [simplify]: Extracting #3: cost 136 inf + 185 208.531 * * [simplify]: Extracting #4: cost 129 inf + 1008 208.532 * * [simplify]: Extracting #5: cost 118 inf + 2496 208.535 * * [simplify]: Extracting #6: cost 64 inf + 23505 208.543 * * [simplify]: Extracting #7: cost 6 inf + 51158 208.553 * * [simplify]: Extracting #8: cost 0 inf + 53859 208.568 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) 208.568 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 208.568 * * * * [progress]: [ 74 / 4148 ] simplifiying candidate # 208.569 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 208.569 * * [simplify]: iters left: 6 (20 enodes) 208.578 * * [simplify]: iters left: 5 (80 enodes) 208.591 * * [simplify]: iters left: 4 (129 enodes) 208.644 * * [simplify]: iters left: 3 (298 enodes) 208.758 * * [simplify]: Extracting #0: cost 1 inf + 0 208.758 * * [simplify]: Extracting #1: cost 43 inf + 0 208.759 * * [simplify]: Extracting #2: cost 129 inf + 1 208.760 * * [simplify]: Extracting #3: cost 149 inf + 185 208.761 * * [simplify]: Extracting #4: cost 142 inf + 1160 208.762 * * [simplify]: Extracting #5: cost 132 inf + 2193 208.764 * * [simplify]: Extracting #6: cost 104 inf + 11071 208.770 * * [simplify]: Extracting #7: cost 32 inf + 44702 208.781 * * [simplify]: Extracting #8: cost 1 inf + 59804 208.792 * * [simplify]: Extracting #9: cost 0 inf + 60437 208.810 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 208.810 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 208.810 * * * * [progress]: [ 75 / 4148 ] simplifiying candidate # 208.810 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 208.811 * * [simplify]: iters left: 6 (19 enodes) 208.822 * * [simplify]: iters left: 5 (80 enodes) 208.844 * * [simplify]: iters left: 4 (117 enodes) 208.875 * * [simplify]: iters left: 3 (269 enodes) 208.956 * * [simplify]: Extracting #0: cost 1 inf + 0 208.956 * * [simplify]: Extracting #1: cost 42 inf + 0 208.957 * * [simplify]: Extracting #2: cost 124 inf + 1 208.957 * * [simplify]: Extracting #3: cost 130 inf + 409 208.958 * * [simplify]: Extracting #4: cost 123 inf + 1393 208.959 * * [simplify]: Extracting #5: cost 115 inf + 2305 208.959 * * [simplify]: Extracting #6: cost 104 inf + 5200 208.964 * * [simplify]: Extracting #7: cost 35 inf + 34817 208.973 * * [simplify]: Extracting #8: cost 1 inf + 50915 208.982 * * [simplify]: Extracting #9: cost 0 inf + 51547 208.992 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) 208.992 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (- (log (* a1 (cos th))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 208.992 * * * * [progress]: [ 76 / 4148 ] simplifiying candidate # 208.992 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 208.993 * * [simplify]: iters left: 6 (19 enodes) 208.998 * * [simplify]: iters left: 5 (77 enodes) 209.013 * * [simplify]: iters left: 4 (122 enodes) 209.050 * * [simplify]: iters left: 3 (259 enodes) 209.150 * * [simplify]: Extracting #0: cost 1 inf + 0 209.150 * * [simplify]: Extracting #1: cost 49 inf + 0 209.151 * * [simplify]: Extracting #2: cost 142 inf + 1 209.152 * * [simplify]: Extracting #3: cost 153 inf + 185 209.153 * * [simplify]: Extracting #4: cost 144 inf + 1181 209.155 * * [simplify]: Extracting #5: cost 138 inf + 1931 209.157 * * [simplify]: Extracting #6: cost 134 inf + 2586 209.160 * * [simplify]: Extracting #7: cost 97 inf + 14692 209.176 * * [simplify]: Extracting #8: cost 16 inf + 52640 209.197 * * [simplify]: Extracting #9: cost 0 inf + 61750 209.216 * * [simplify]: Extracting #10: cost 0 inf + 61744 209.228 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) 209.228 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 209.228 * * * * [progress]: [ 77 / 4148 ] simplifiying candidate # 209.228 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 209.229 * * [simplify]: iters left: 6 (18 enodes) 209.234 * * [simplify]: iters left: 5 (70 enodes) 209.249 * * [simplify]: iters left: 4 (124 enodes) 209.294 * * [simplify]: iters left: 3 (294 enodes) 209.450 * * [simplify]: Extracting #0: cost 1 inf + 0 209.450 * * [simplify]: Extracting #1: cost 49 inf + 0 209.451 * * [simplify]: Extracting #2: cost 131 inf + 1 209.451 * * [simplify]: Extracting #3: cost 139 inf + 185 209.452 * * [simplify]: Extracting #4: cost 130 inf + 1311 209.453 * * [simplify]: Extracting #5: cost 121 inf + 2566 209.455 * * [simplify]: Extracting #6: cost 81 inf + 18560 209.464 * * [simplify]: Extracting #7: cost 15 inf + 49207 209.475 * * [simplify]: Extracting #8: cost 0 inf + 56425 209.496 * * [simplify]: Extracting #9: cost 0 inf + 56305 209.519 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 209.519 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 209.519 * * * * [progress]: [ 78 / 4148 ] simplifiying candidate # 209.520 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 209.520 * * [simplify]: iters left: 6 (20 enodes) 209.532 * * [simplify]: iters left: 5 (80 enodes) 209.555 * * [simplify]: iters left: 4 (131 enodes) 209.581 * * [simplify]: iters left: 3 (278 enodes) 209.740 * * [simplify]: Extracting #0: cost 1 inf + 0 209.740 * * [simplify]: Extracting #1: cost 48 inf + 0 209.741 * * [simplify]: Extracting #2: cost 132 inf + 1 209.741 * * [simplify]: Extracting #3: cost 140 inf + 185 209.742 * * [simplify]: Extracting #4: cost 133 inf + 1049 209.743 * * [simplify]: Extracting #5: cost 125 inf + 2184 209.743 * * [simplify]: Extracting #6: cost 119 inf + 2900 209.745 * * [simplify]: Extracting #7: cost 85 inf + 16154 209.753 * * [simplify]: Extracting #8: cost 21 inf + 45295 209.764 * * [simplify]: Extracting #9: cost 0 inf + 55963 209.788 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 209.788 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 209.788 * * * * [progress]: [ 79 / 4148 ] simplifiying candidate # 209.788 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 209.789 * * [simplify]: iters left: 6 (18 enodes) 209.799 * * [simplify]: iters left: 5 (69 enodes) 209.822 * * [simplify]: iters left: 4 (127 enodes) 209.875 * * [simplify]: iters left: 3 (286 enodes) 210.015 * * [simplify]: Extracting #0: cost 1 inf + 0 210.015 * * [simplify]: Extracting #1: cost 45 inf + 0 210.016 * * [simplify]: Extracting #2: cost 129 inf + 1 210.016 * * [simplify]: Extracting #3: cost 142 inf + 185 210.017 * * [simplify]: Extracting #4: cost 132 inf + 1555 210.018 * * [simplify]: Extracting #5: cost 124 inf + 2575 210.020 * * [simplify]: Extracting #6: cost 89 inf + 15779 210.028 * * [simplify]: Extracting #7: cost 20 inf + 48360 210.045 * * [simplify]: Extracting #8: cost 0 inf + 57959 210.067 * * [simplify]: Extracting #9: cost 0 inf + 57919 210.089 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 210.089 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 210.090 * * * * [progress]: [ 80 / 4148 ] simplifiying candidate # 210.090 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 210.090 * * [simplify]: iters left: 6 (20 enodes) 210.096 * * [simplify]: iters left: 5 (80 enodes) 210.109 * * [simplify]: iters left: 4 (129 enodes) 210.149 * * [simplify]: iters left: 3 (276 enodes) 210.264 * * [simplify]: Extracting #0: cost 1 inf + 0 210.264 * * [simplify]: Extracting #1: cost 48 inf + 0 210.265 * * [simplify]: Extracting #2: cost 131 inf + 1 210.266 * * [simplify]: Extracting #3: cost 140 inf + 144 210.268 * * [simplify]: Extracting #4: cost 133 inf + 1160 210.269 * * [simplify]: Extracting #5: cost 122 inf + 2507 210.272 * * [simplify]: Extracting #6: cost 93 inf + 12378 210.286 * * [simplify]: Extracting #7: cost 18 inf + 46925 210.302 * * [simplify]: Extracting #8: cost 0 inf + 55792 210.313 * * [simplify]: Extracting #9: cost 0 inf + 55672 210.324 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 210.324 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 210.324 * * * * [progress]: [ 81 / 4148 ] simplifiying candidate # 210.324 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 210.324 * * [simplify]: iters left: 6 (19 enodes) 210.334 * * [simplify]: iters left: 5 (74 enodes) 210.350 * * [simplify]: iters left: 4 (131 enodes) 210.376 * * [simplify]: iters left: 3 (269 enodes) 210.533 * * [simplify]: Extracting #0: cost 1 inf + 0 210.533 * * [simplify]: Extracting #1: cost 48 inf + 0 210.533 * * [simplify]: Extracting #2: cost 127 inf + 1 210.534 * * [simplify]: Extracting #3: cost 138 inf + 185 210.535 * * [simplify]: Extracting #4: cost 129 inf + 1200 210.535 * * [simplify]: Extracting #5: cost 123 inf + 1857 210.540 * * [simplify]: Extracting #6: cost 80 inf + 18099 210.548 * * [simplify]: Extracting #7: cost 12 inf + 49724 210.560 * * [simplify]: Extracting #8: cost 0 inf + 55687 210.570 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 210.570 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 210.570 * * * * [progress]: [ 82 / 4148 ] simplifiying candidate # 210.571 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 210.571 * * [simplify]: iters left: 6 (20 enodes) 210.579 * * [simplify]: iters left: 5 (81 enodes) 210.594 * * [simplify]: iters left: 4 (123 enodes) 210.639 * * [simplify]: iters left: 3 (291 enodes) 210.799 * * [simplify]: Extracting #0: cost 1 inf + 0 210.800 * * [simplify]: Extracting #1: cost 50 inf + 0 210.801 * * [simplify]: Extracting #2: cost 139 inf + 1 210.802 * * [simplify]: Extracting #3: cost 150 inf + 368 210.803 * * [simplify]: Extracting #4: cost 142 inf + 1524 210.805 * * [simplify]: Extracting #5: cost 133 inf + 2679 210.809 * * [simplify]: Extracting #6: cost 98 inf + 16241 210.827 * * [simplify]: Extracting #7: cost 17 inf + 52723 210.849 * * [simplify]: Extracting #8: cost 0 inf + 60596 210.875 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 210.875 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 210.876 * * * * [progress]: [ 83 / 4148 ] simplifiying candidate # 210.876 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 210.877 * * [simplify]: iters left: 6 (19 enodes) 210.888 * * [simplify]: iters left: 5 (80 enodes) 210.913 * * [simplify]: iters left: 4 (117 enodes) 210.970 * * [simplify]: iters left: 3 (268 enodes) 211.062 * * [simplify]: Extracting #0: cost 1 inf + 0 211.062 * * [simplify]: Extracting #1: cost 45 inf + 0 211.062 * * [simplify]: Extracting #2: cost 136 inf + 1 211.063 * * [simplify]: Extracting #3: cost 144 inf + 185 211.066 * * [simplify]: Extracting #4: cost 137 inf + 1008 211.066 * * [simplify]: Extracting #5: cost 128 inf + 2184 211.067 * * [simplify]: Extracting #6: cost 125 inf + 2507 211.069 * * [simplify]: Extracting #7: cost 89 inf + 16901 211.077 * * [simplify]: Extracting #8: cost 11 inf + 52481 211.087 * * [simplify]: Extracting #9: cost 0 inf + 57161 211.104 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 211.105 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 211.105 * * * * [progress]: [ 84 / 4148 ] simplifiying candidate # 211.105 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 211.106 * * [simplify]: iters left: 6 (20 enodes) 211.118 * * [simplify]: iters left: 5 (80 enodes) 211.144 * * [simplify]: iters left: 4 (127 enodes) 211.180 * * [simplify]: iters left: 3 (295 enodes) 211.335 * * [simplify]: Extracting #0: cost 1 inf + 0 211.335 * * [simplify]: Extracting #1: cost 48 inf + 0 211.336 * * [simplify]: Extracting #2: cost 138 inf + 1 211.337 * * [simplify]: Extracting #3: cost 153 inf + 256 211.339 * * [simplify]: Extracting #4: cost 146 inf + 1291 211.340 * * [simplify]: Extracting #5: cost 141 inf + 1799 211.342 * * [simplify]: Extracting #6: cost 134 inf + 2817 211.346 * * [simplify]: Extracting #7: cost 88 inf + 20101 211.367 * * [simplify]: Extracting #8: cost 14 inf + 55759 211.390 * * [simplify]: Extracting #9: cost 0 inf + 62689 211.413 * * [simplify]: Extracting #10: cost 0 inf + 62489 211.424 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 211.424 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 211.424 * * * * [progress]: [ 85 / 4148 ] simplifiying candidate # 211.425 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 211.425 * * [simplify]: iters left: 6 (19 enodes) 211.431 * * [simplify]: iters left: 5 (80 enodes) 211.443 * * [simplify]: iters left: 4 (116 enodes) 211.491 * * [simplify]: iters left: 3 (265 enodes) 211.601 * * [simplify]: Extracting #0: cost 1 inf + 0 211.602 * * [simplify]: Extracting #1: cost 45 inf + 0 211.602 * * [simplify]: Extracting #2: cost 129 inf + 1 211.603 * * [simplify]: Extracting #3: cost 138 inf + 185 211.605 * * [simplify]: Extracting #4: cost 129 inf + 1422 211.606 * * [simplify]: Extracting #5: cost 117 inf + 2889 211.609 * * [simplify]: Extracting #6: cost 90 inf + 10896 211.620 * * [simplify]: Extracting #7: cost 27 inf + 39940 211.638 * * [simplify]: Extracting #8: cost 1 inf + 53202 211.657 * * [simplify]: Extracting #9: cost 0 inf + 53724 211.676 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 211.676 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 211.676 * * * * [progress]: [ 86 / 4148 ] simplifiying candidate # 211.677 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 211.677 * * [simplify]: iters left: 6 (19 enodes) 211.688 * * [simplify]: iters left: 5 (77 enodes) 211.712 * * [simplify]: iters left: 4 (121 enodes) 211.758 * * [simplify]: iters left: 3 (255 enodes) 211.838 * * [simplify]: Extracting #0: cost 1 inf + 0 211.839 * * [simplify]: Extracting #1: cost 52 inf + 0 211.839 * * [simplify]: Extracting #2: cost 146 inf + 1 211.841 * * [simplify]: Extracting #3: cost 158 inf + 185 211.842 * * [simplify]: Extracting #4: cost 148 inf + 1353 211.844 * * [simplify]: Extracting #5: cost 143 inf + 1931 211.845 * * [simplify]: Extracting #6: cost 140 inf + 2254 211.848 * * [simplify]: Extracting #7: cost 110 inf + 12229 211.863 * * [simplify]: Extracting #8: cost 23 inf + 51842 211.884 * * [simplify]: Extracting #9: cost 0 inf + 63762 211.906 * * [simplify]: Extracting #10: cost 0 inf + 63761 211.926 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 211.926 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 211.927 * * * * [progress]: [ 87 / 4148 ] simplifiying candidate # 211.927 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 211.927 * * [simplify]: iters left: 6 (19 enodes) 211.942 * * [simplify]: iters left: 5 (75 enodes) 211.964 * * [simplify]: iters left: 4 (125 enodes) 211.990 * * [simplify]: iters left: 3 (285 enodes) 212.153 * * [simplify]: Extracting #0: cost 1 inf + 0 212.153 * * [simplify]: Extracting #1: cost 50 inf + 0 212.153 * * [simplify]: Extracting #2: cost 128 inf + 1 212.155 * * [simplify]: Extracting #3: cost 144 inf + 73 212.156 * * [simplify]: Extracting #4: cost 133 inf + 1454 212.158 * * [simplify]: Extracting #5: cost 124 inf + 2610 212.161 * * [simplify]: Extracting #6: cost 100 inf + 9422 212.169 * * [simplify]: Extracting #7: cost 43 inf + 35058 212.183 * * [simplify]: Extracting #8: cost 0 inf + 56758 212.194 * * [simplify]: Extracting #9: cost 0 inf + 56598 212.205 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 212.205 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 212.205 * * * * [progress]: [ 88 / 4148 ] simplifiying candidate # 212.206 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 212.206 * * [simplify]: iters left: 6 (19 enodes) 212.211 * * [simplify]: iters left: 5 (77 enodes) 212.228 * * [simplify]: iters left: 4 (134 enodes) 212.269 * * [simplify]: iters left: 3 (264 enodes) 212.377 * * [simplify]: Extracting #0: cost 1 inf + 0 212.377 * * [simplify]: Extracting #1: cost 45 inf + 0 212.378 * * [simplify]: Extracting #2: cost 132 inf + 1 212.378 * * [simplify]: Extracting #3: cost 140 inf + 144 212.379 * * [simplify]: Extracting #4: cost 132 inf + 1180 212.380 * * [simplify]: Extracting #5: cost 122 inf + 2467 212.382 * * [simplify]: Extracting #6: cost 69 inf + 22668 212.391 * * [simplify]: Extracting #7: cost 8 inf + 51662 212.411 * * [simplify]: Extracting #8: cost 0 inf + 55103 212.430 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) 212.430 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 212.431 * * * * [progress]: [ 89 / 4148 ] simplifiying candidate # 212.431 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 212.431 * * [simplify]: iters left: 6 (19 enodes) 212.443 * * [simplify]: iters left: 5 (74 enodes) 212.466 * * [simplify]: iters left: 4 (129 enodes) 212.516 * * [simplify]: iters left: 3 (287 enodes) 212.672 * * [simplify]: Extracting #0: cost 1 inf + 0 212.672 * * [simplify]: Extracting #1: cost 48 inf + 0 212.673 * * [simplify]: Extracting #2: cost 125 inf + 1 212.673 * * [simplify]: Extracting #3: cost 141 inf + 144 212.674 * * [simplify]: Extracting #4: cost 133 inf + 1028 212.675 * * [simplify]: Extracting #5: cost 127 inf + 1678 212.677 * * [simplify]: Extracting #6: cost 79 inf + 19328 212.686 * * [simplify]: Extracting #7: cost 6 inf + 53394 212.704 * * [simplify]: Extracting #8: cost 0 inf + 56646 212.726 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 212.726 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 212.726 * * * * [progress]: [ 90 / 4148 ] simplifiying candidate # 212.726 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 212.727 * * [simplify]: iters left: 6 (19 enodes) 212.740 * * [simplify]: iters left: 5 (77 enodes) 212.767 * * [simplify]: iters left: 4 (125 enodes) 212.813 * * [simplify]: iters left: 3 (256 enodes) 212.934 * * [simplify]: Extracting #0: cost 1 inf + 0 212.934 * * [simplify]: Extracting #1: cost 45 inf + 0 212.935 * * [simplify]: Extracting #2: cost 128 inf + 1 212.937 * * [simplify]: Extracting #3: cost 138 inf + 144 212.938 * * [simplify]: Extracting #4: cost 130 inf + 1211 212.939 * * [simplify]: Extracting #5: cost 124 inf + 1830 212.941 * * [simplify]: Extracting #6: cost 122 inf + 1992 212.945 * * [simplify]: Extracting #7: cost 78 inf + 17267 212.964 * * [simplify]: Extracting #8: cost 4 inf + 52388 212.983 * * [simplify]: Extracting #9: cost 0 inf + 54606 213.002 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 213.002 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 213.002 * * * * [progress]: [ 91 / 4148 ] simplifiying candidate # 213.003 * [simplify]: Simplifying (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 213.003 * * [simplify]: iters left: 6 (18 enodes) 213.013 * * [simplify]: iters left: 5 (71 enodes) 213.035 * * [simplify]: iters left: 4 (124 enodes) 213.076 * * [simplify]: iters left: 3 (245 enodes) 213.183 * * [simplify]: Extracting #0: cost 1 inf + 0 213.183 * * [simplify]: Extracting #1: cost 47 inf + 0 213.184 * * [simplify]: Extracting #2: cost 122 inf + 1 213.184 * * [simplify]: Extracting #3: cost 131 inf + 185 213.185 * * [simplify]: Extracting #4: cost 121 inf + 1444 213.185 * * [simplify]: Extracting #5: cost 117 inf + 1830 213.186 * * [simplify]: Extracting #6: cost 114 inf + 2113 213.188 * * [simplify]: Extracting #7: cost 69 inf + 18110 213.197 * * [simplify]: Extracting #8: cost 4 inf + 49215 213.206 * * [simplify]: Extracting #9: cost 0 inf + 51662 213.216 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 213.217 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 213.217 * * * * [progress]: [ 92 / 4148 ] simplifiying candidate # 213.217 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) 213.217 * * [simplify]: iters left: 6 (18 enodes) 213.228 * * [simplify]: iters left: 5 (69 enodes) 213.252 * * [simplify]: iters left: 4 (131 enodes) 213.288 * * [simplify]: iters left: 3 (314 enodes) 213.445 * * [simplify]: Extracting #0: cost 1 inf + 0 213.445 * * [simplify]: Extracting #1: cost 62 inf + 0 213.446 * * [simplify]: Extracting #2: cost 168 inf + 1 213.448 * * [simplify]: Extracting #3: cost 192 inf + 367 213.450 * * [simplify]: Extracting #4: cost 185 inf + 1324 213.453 * * [simplify]: Extracting #5: cost 138 inf + 15250 213.473 * * [simplify]: Extracting #6: cost 24 inf + 61555 213.498 * * [simplify]: Extracting #7: cost 0 inf + 71585 213.524 * * [simplify]: Extracting #8: cost 0 inf + 71375 213.549 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 213.549 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 213.549 * * * * [progress]: [ 93 / 4148 ] simplifiying candidate # 213.550 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) 213.550 * * [simplify]: iters left: 6 (18 enodes) 213.558 * * [simplify]: iters left: 5 (72 enodes) 213.571 * * [simplify]: iters left: 4 (131 enodes) 213.610 * * [simplify]: iters left: 3 (325 enodes) 213.712 * * [simplify]: Extracting #0: cost 1 inf + 0 213.713 * * [simplify]: Extracting #1: cost 50 inf + 0 213.713 * * [simplify]: Extracting #2: cost 149 inf + 1 213.714 * * [simplify]: Extracting #3: cost 176 inf + 2 213.716 * * [simplify]: Extracting #4: cost 171 inf + 564 213.717 * * [simplify]: Extracting #5: cost 163 inf + 1516 213.719 * * [simplify]: Extracting #6: cost 157 inf + 2342 213.726 * * [simplify]: Extracting #7: cost 80 inf + 27613 213.745 * * [simplify]: Extracting #8: cost 6 inf + 61359 213.766 * * [simplify]: Extracting #9: cost 0 inf + 63979 213.777 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 213.777 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 213.777 * * * * [progress]: [ 94 / 4148 ] simplifiying candidate # 213.777 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) 213.777 * * [simplify]: iters left: 6 (18 enodes) 213.783 * * [simplify]: iters left: 5 (68 enodes) 213.795 * * [simplify]: iters left: 4 (135 enodes) 213.823 * * [simplify]: iters left: 3 (306 enodes) 213.944 * * [simplify]: Extracting #0: cost 1 inf + 0 213.945 * * [simplify]: Extracting #1: cost 71 inf + 0 213.945 * * [simplify]: Extracting #2: cost 189 inf + 1 213.946 * * [simplify]: Extracting #3: cost 216 inf + 297 213.947 * * [simplify]: Extracting #4: cost 208 inf + 1324 213.949 * * [simplify]: Extracting #5: cost 167 inf + 12104 213.957 * * [simplify]: Extracting #6: cost 50 inf + 58900 213.975 * * [simplify]: Extracting #7: cost 3 inf + 81008 213.990 * * [simplify]: Extracting #8: cost 0 inf + 82505 214.008 * [simplify]: Simplified to (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 214.008 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 214.009 * * * * [progress]: [ 95 / 4148 ] simplifiying candidate # 214.009 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) 214.009 * * [simplify]: iters left: 6 (18 enodes) 214.019 * * [simplify]: iters left: 5 (72 enodes) 214.041 * * [simplify]: iters left: 4 (130 enodes) 214.072 * * [simplify]: iters left: 3 (322 enodes) 214.159 * * [simplify]: Extracting #0: cost 1 inf + 0 214.159 * * [simplify]: Extracting #1: cost 50 inf + 0 214.159 * * [simplify]: Extracting #2: cost 145 inf + 1 214.160 * * [simplify]: Extracting #3: cost 172 inf + 73 214.163 * * [simplify]: Extracting #4: cost 165 inf + 1068 214.164 * * [simplify]: Extracting #5: cost 154 inf + 2263 214.168 * * [simplify]: Extracting #6: cost 92 inf + 21066 214.185 * * [simplify]: Extracting #7: cost 4 inf + 60595 214.206 * * [simplify]: Extracting #8: cost 0 inf + 62181 214.223 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 214.223 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 214.223 * * * * [progress]: [ 96 / 4148 ] simplifiying candidate # 214.223 * [simplify]: Simplifying (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 214.224 * * [simplify]: iters left: 6 (17 enodes) 214.232 * * [simplify]: iters left: 5 (66 enodes) 214.249 * * [simplify]: iters left: 4 (133 enodes) 214.273 * * [simplify]: iters left: 3 (319 enodes) 214.430 * * [simplify]: Extracting #0: cost 1 inf + 0 214.430 * * [simplify]: Extracting #1: cost 54 inf + 0 214.431 * * [simplify]: Extracting #2: cost 152 inf + 1 214.432 * * [simplify]: Extracting #3: cost 180 inf + 2 214.434 * * [simplify]: Extracting #4: cost 172 inf + 919 214.436 * * [simplify]: Extracting #5: cost 141 inf + 8380 214.449 * * [simplify]: Extracting #6: cost 40 inf + 44439 214.470 * * [simplify]: Extracting #7: cost 1 inf + 62737 214.492 * * [simplify]: Extracting #8: cost 0 inf + 63098 214.514 * [simplify]: Simplified to (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 214.515 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (exp (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 214.515 * * * * [progress]: [ 97 / 4148 ] simplifiying candidate # 214.515 * * * * [progress]: [ 98 / 4148 ] simplifiying candidate # 214.515 * * * * [progress]: [ 99 / 4148 ] simplifiying candidate # 214.515 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 214.516 * * [simplify]: iters left: 6 (20 enodes) 214.528 * * [simplify]: iters left: 5 (76 enodes) 214.559 * * [simplify]: iters left: 4 (164 enodes) 214.615 * * [simplify]: Extracting #0: cost 1 inf + 0 214.615 * * [simplify]: Extracting #1: cost 93 inf + 0 214.616 * * [simplify]: Extracting #2: cost 206 inf + 247 214.620 * * [simplify]: Extracting #3: cost 155 inf + 8755 214.631 * * [simplify]: Extracting #4: cost 48 inf + 35511 214.646 * * [simplify]: Extracting #5: cost 2 inf + 50704 214.656 * * [simplify]: Extracting #6: cost 0 inf + 51389 214.665 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 214.665 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 214.666 * * * * [progress]: [ 100 / 4148 ] simplifiying candidate # 214.666 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 214.666 * * [simplify]: iters left: 6 (23 enodes) 214.680 * * [simplify]: iters left: 5 (93 enodes) 214.715 * * [simplify]: iters left: 4 (214 enodes) 214.838 * * [simplify]: Extracting #0: cost 1 inf + 0 214.838 * * [simplify]: Extracting #1: cost 119 inf + 0 214.839 * * [simplify]: Extracting #2: cost 348 inf + 331 214.845 * * [simplify]: Extracting #3: cost 300 inf + 7909 214.849 * * [simplify]: Extracting #4: cost 240 inf + 19132 214.866 * * [simplify]: Extracting #5: cost 107 inf + 65707 214.896 * * [simplify]: Extracting #6: cost 1 inf + 105343 214.922 * * [simplify]: Extracting #7: cost 0 inf + 105766 214.965 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 214.965 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 214.965 * * * * [progress]: [ 101 / 4148 ] simplifiying candidate # 214.966 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 214.966 * * [simplify]: iters left: 6 (23 enodes) 214.979 * * [simplify]: iters left: 5 (87 enodes) 215.012 * * [simplify]: iters left: 4 (212 enodes) 215.166 * * [simplify]: Extracting #0: cost 1 inf + 0 215.167 * * [simplify]: Extracting #1: cost 160 inf + 0 215.170 * * [simplify]: Extracting #2: cost 371 inf + 125 215.175 * * [simplify]: Extracting #3: cost 321 inf + 9989 215.183 * * [simplify]: Extracting #4: cost 273 inf + 18857 215.205 * * [simplify]: Extracting #5: cost 175 inf + 59343 215.231 * * [simplify]: Extracting #6: cost 23 inf + 127776 215.285 * * [simplify]: Extracting #7: cost 0 inf + 138126 215.346 * [simplify]: Simplified to (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 215.346 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 215.347 * * * * [progress]: [ 102 / 4148 ] simplifiying candidate # 215.347 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 215.347 * * [simplify]: iters left: 6 (21 enodes) 215.361 * * [simplify]: iters left: 5 (94 enodes) 215.393 * * [simplify]: iters left: 4 (288 enodes) 215.670 * * [simplify]: Extracting #0: cost 1 inf + 0 215.670 * * [simplify]: Extracting #1: cost 144 inf + 0 215.673 * * [simplify]: Extracting #2: cost 505 inf + 246 215.678 * * [simplify]: Extracting #3: cost 520 inf + 6813 215.693 * * [simplify]: Extracting #4: cost 331 inf + 52173 215.719 * * [simplify]: Extracting #5: cost 62 inf + 138396 215.773 * * [simplify]: Extracting #6: cost 0 inf + 160718 215.838 * * [simplify]: Extracting #7: cost 0 inf + 160598 215.876 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2))))) 215.877 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 215.877 * * * * [progress]: [ 103 / 4148 ] simplifiying candidate # 215.877 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 215.877 * * [simplify]: iters left: 6 (25 enodes) 215.890 * * [simplify]: iters left: 5 (114 enodes) 215.918 * * [simplify]: iters left: 4 (325 enodes) 216.269 * * [simplify]: Extracting #0: cost 1 inf + 0 216.269 * * [simplify]: Extracting #1: cost 283 inf + 0 216.272 * * [simplify]: Extracting #2: cost 1063 inf + 124 216.278 * * [simplify]: Extracting #3: cost 1151 inf + 17581 216.319 * * [simplify]: Extracting #4: cost 511 inf + 203202 216.413 * * [simplify]: Extracting #5: cost 22 inf + 385370 216.540 * * [simplify]: Extracting #6: cost 0 inf + 394068 216.647 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (sqrt 2)) (* (cbrt (sqrt 2)) (sqrt 2)))) 216.647 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (sqrt 2)) (* (cbrt (sqrt 2)) (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 216.648 * * * * [progress]: [ 104 / 4148 ] simplifiying candidate # 216.648 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 216.649 * * [simplify]: iters left: 6 (25 enodes) 216.663 * * [simplify]: iters left: 5 (108 enodes) 216.699 * * [simplify]: iters left: 4 (324 enodes) 217.033 * * [simplify]: Extracting #0: cost 1 inf + 0 217.033 * * [simplify]: Extracting #1: cost 341 inf + 0 217.036 * * [simplify]: Extracting #2: cost 832 inf + 246 217.041 * * [simplify]: Extracting #3: cost 888 inf + 3378 217.057 * * [simplify]: Extracting #4: cost 658 inf + 67900 217.107 * * [simplify]: Extracting #5: cost 145 inf + 303253 217.204 * * [simplify]: Extracting #6: cost 0 inf + 344610 217.328 * * [simplify]: Extracting #7: cost 0 inf + 338073 217.464 * * [simplify]: Extracting #8: cost 0 inf + 337873 217.593 * * [simplify]: Extracting #9: cost 0 inf + 337833 217.685 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (sqrt 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))) 217.685 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (sqrt 2) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 217.686 * * * * [progress]: [ 105 / 4148 ] simplifiying candidate # 217.686 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 217.686 * * [simplify]: iters left: 6 (21 enodes) 217.694 * * [simplify]: iters left: 5 (88 enodes) 217.737 * * [simplify]: iters left: 4 (299 enodes) 217.964 * * [simplify]: Extracting #0: cost 1 inf + 0 217.964 * * [simplify]: Extracting #1: cost 136 inf + 0 217.966 * * [simplify]: Extracting #2: cost 413 inf + 246 217.971 * * [simplify]: Extracting #3: cost 429 inf + 4094 217.979 * * [simplify]: Extracting #4: cost 386 inf + 14258 218.013 * * [simplify]: Extracting #5: cost 153 inf + 110012 218.049 * * [simplify]: Extracting #6: cost 4 inf + 159490 218.088 * * [simplify]: Extracting #7: cost 0 inf + 150240 218.151 * * [simplify]: Extracting #8: cost 0 inf + 150160 218.197 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 218.197 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 218.197 * * * * [progress]: [ 106 / 4148 ] simplifiying candidate # 218.197 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 218.198 * * [simplify]: iters left: 6 (25 enodes) 218.207 * * [simplify]: iters left: 5 (111 enodes) 218.239 * * [simplify]: iters left: 4 (335 enodes) 218.532 * * [simplify]: Extracting #0: cost 1 inf + 0 218.533 * * [simplify]: Extracting #1: cost 235 inf + 0 218.537 * * [simplify]: Extracting #2: cost 970 inf + 124 218.546 * * [simplify]: Extracting #3: cost 1112 inf + 3008 218.556 * * [simplify]: Extracting #4: cost 1087 inf + 5767 218.579 * * [simplify]: Extracting #5: cost 948 inf + 48244 218.647 * * [simplify]: Extracting #6: cost 327 inf + 293981 218.766 * * [simplify]: Extracting #7: cost 7 inf + 400371 218.907 * * [simplify]: Extracting #8: cost 0 inf + 383935 219.034 * * [simplify]: Extracting #9: cost 0 inf + 382975 219.131 * [simplify]: Simplified to (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 219.132 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 219.132 * * * * [progress]: [ 107 / 4148 ] simplifiying candidate # 219.133 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 219.133 * * [simplify]: iters left: 6 (23 enodes) 219.146 * * [simplify]: iters left: 5 (103 enodes) 219.174 * * [simplify]: iters left: 4 (335 enodes) 219.562 * * [simplify]: Extracting #0: cost 1 inf + 0 219.563 * * [simplify]: Extracting #1: cost 301 inf + 0 219.576 * * [simplify]: Extracting #2: cost 845 inf + 124 219.584 * * [simplify]: Extracting #3: cost 909 inf + 2128 219.594 * * [simplify]: Extracting #4: cost 889 inf + 5751 219.604 * * [simplify]: Extracting #5: cost 881 inf + 5901 219.619 * * [simplify]: Extracting #6: cost 791 inf + 36756 219.712 * * [simplify]: Extracting #7: cost 166 inf + 317977 219.867 * * [simplify]: Extracting #8: cost 0 inf + 381607 219.999 * * [simplify]: Extracting #9: cost 0 inf + 378183 220.130 * * [simplify]: Extracting #10: cost 0 inf + 378143 220.262 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 220.262 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 220.263 * * * * [progress]: [ 108 / 4148 ] simplifiying candidate # 220.263 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 220.263 * * [simplify]: iters left: 6 (18 enodes) 220.276 * * [simplify]: iters left: 5 (74 enodes) 220.300 * * [simplify]: iters left: 4 (170 enodes) 220.377 * * [simplify]: Extracting #0: cost 1 inf + 0 220.377 * * [simplify]: Extracting #1: cost 103 inf + 0 220.378 * * [simplify]: Extracting #2: cost 217 inf + 128 220.381 * * [simplify]: Extracting #3: cost 176 inf + 7274 220.391 * * [simplify]: Extracting #4: cost 64 inf + 32225 220.402 * * [simplify]: Extracting #5: cost 3 inf + 53244 220.412 * * [simplify]: Extracting #6: cost 0 inf + 54393 220.423 * [simplify]: Simplified to (* (/ (* a1 (cos th)) 2) (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2))))) 220.423 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (* (/ (* a1 (cos th)) 2) (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 220.423 * * * * [progress]: [ 109 / 4148 ] simplifiying candidate # 220.423 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 220.423 * * [simplify]: iters left: 6 (21 enodes) 220.433 * * [simplify]: iters left: 5 (91 enodes) 220.457 * * [simplify]: iters left: 4 (220 enodes) 220.613 * * [simplify]: Extracting #0: cost 1 inf + 0 220.614 * * [simplify]: Extracting #1: cost 129 inf + 0 220.616 * * [simplify]: Extracting #2: cost 357 inf + 45 220.621 * * [simplify]: Extracting #3: cost 315 inf + 7227 220.630 * * [simplify]: Extracting #4: cost 257 inf + 18728 220.642 * * [simplify]: Extracting #5: cost 90 inf + 74691 220.676 * * [simplify]: Extracting #6: cost 1 inf + 108501 220.702 * * [simplify]: Extracting #7: cost 0 inf + 108684 220.744 * [simplify]: Simplified to (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ 2 (* a1 (cos th)))) 220.744 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ 2 (* a1 (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 220.744 * * * * [progress]: [ 110 / 4148 ] simplifiying candidate # 220.745 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 220.745 * * [simplify]: iters left: 6 (21 enodes) 220.755 * * [simplify]: iters left: 5 (85 enodes) 220.775 * * [simplify]: iters left: 4 (218 enodes) 220.917 * * [simplify]: Extracting #0: cost 1 inf + 0 220.917 * * [simplify]: Extracting #1: cost 166 inf + 0 220.920 * * [simplify]: Extracting #2: cost 380 inf + 211 220.924 * * [simplify]: Extracting #3: cost 326 inf + 10514 220.943 * * [simplify]: Extracting #4: cost 154 inf + 74281 220.976 * * [simplify]: Extracting #5: cost 5 inf + 141825 221.009 * * [simplify]: Extracting #6: cost 0 inf + 142456 221.043 * * [simplify]: Extracting #7: cost 0 inf + 142336 221.104 * [simplify]: Simplified to (* (* (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (* a1 (cos th)) 2)) 221.104 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (* (* (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (* a1 (cos th)) 2))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 221.104 * * * * [progress]: [ 111 / 4148 ] simplifiying candidate # 221.105 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 221.105 * * [simplify]: iters left: 6 (19 enodes) 221.116 * * [simplify]: iters left: 5 (92 enodes) 221.156 * * [simplify]: iters left: 4 (278 enodes) 221.477 * * [simplify]: Extracting #0: cost 1 inf + 0 221.477 * * [simplify]: Extracting #1: cost 132 inf + 0 221.480 * * [simplify]: Extracting #2: cost 451 inf + 43 221.485 * * [simplify]: Extracting #3: cost 469 inf + 7845 221.494 * * [simplify]: Extracting #4: cost 338 inf + 38050 221.515 * * [simplify]: Extracting #5: cost 81 inf + 122310 221.575 * * [simplify]: Extracting #6: cost 0 inf + 146547 221.637 * * [simplify]: Extracting #7: cost 0 inf + 146467 221.668 * [simplify]: Simplified to (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 221.668 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 221.668 * * * * [progress]: [ 112 / 4148 ] simplifiying candidate # 221.669 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 221.669 * * [simplify]: iters left: 6 (23 enodes) 221.676 * * [simplify]: iters left: 5 (112 enodes) 221.704 * * [simplify]: iters left: 4 (317 enodes) 222.026 * * [simplify]: Extracting #0: cost 1 inf + 0 222.027 * * [simplify]: Extracting #1: cost 253 inf + 0 222.030 * * [simplify]: Extracting #2: cost 1083 inf + 43 222.035 * * [simplify]: Extracting #3: cost 1205 inf + 4780 222.049 * * [simplify]: Extracting #4: cost 818 inf + 102916 222.097 * * [simplify]: Extracting #5: cost 97 inf + 343855 222.175 * * [simplify]: Extracting #6: cost 0 inf + 383185 222.284 * * [simplify]: Extracting #7: cost 0 inf + 382865 222.395 * [simplify]: Simplified to (/ (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* a1 (cos th)))) 222.395 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* a1 (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 222.395 * * * * [progress]: [ 113 / 4148 ] simplifiying candidate # 222.396 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 222.396 * * [simplify]: iters left: 6 (23 enodes) 222.410 * * [simplify]: iters left: 5 (106 enodes) 222.456 * * [simplify]: iters left: 4 (313 enodes) 222.833 * * [simplify]: Extracting #0: cost 1 inf + 0 222.834 * * [simplify]: Extracting #1: cost 295 inf + 0 222.837 * * [simplify]: Extracting #2: cost 748 inf + 2 222.841 * * [simplify]: Extracting #3: cost 806 inf + 1054 222.855 * * [simplify]: Extracting #4: cost 558 inf + 77395 222.933 * * [simplify]: Extracting #5: cost 53 inf + 298263 223.047 * * [simplify]: Extracting #6: cost 0 inf + 302597 223.143 * * [simplify]: Extracting #7: cost 0 inf + 301644 223.242 * [simplify]: Simplified to (/ (* (* a1 (cos th)) (* a1 (cos th))) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)))) (* a1 (cos th)))) 223.242 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* (* a1 (cos th)) (* a1 (cos th))) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)))) (* a1 (cos th))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 223.243 * * * * [progress]: [ 114 / 4148 ] simplifiying candidate # 223.243 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 223.243 * * [simplify]: iters left: 6 (19 enodes) 223.253 * * [simplify]: iters left: 5 (86 enodes) 223.276 * * [simplify]: iters left: 4 (304 enodes) 223.566 * * [simplify]: Extracting #0: cost 1 inf + 0 223.567 * * [simplify]: Extracting #1: cost 142 inf + 0 223.570 * * [simplify]: Extracting #2: cost 453 inf + 2 223.575 * * [simplify]: Extracting #3: cost 462 inf + 3635 223.585 * * [simplify]: Extracting #4: cost 390 inf + 24994 223.639 * * [simplify]: Extracting #5: cost 131 inf + 134666 223.720 * * [simplify]: Extracting #6: cost 3 inf + 172408 223.764 * * [simplify]: Extracting #7: cost 0 inf + 164753 223.810 * * [simplify]: Extracting #8: cost 0 inf + 164593 223.889 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))) (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))))) 223.889 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* a1 (cos th)) (* (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))) (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 223.890 * * * * [progress]: [ 115 / 4148 ] simplifiying candidate # 223.890 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 223.890 * * [simplify]: iters left: 6 (23 enodes) 223.904 * * [simplify]: iters left: 5 (109 enodes) 223.957 * * [simplify]: iters left: 4 (342 enodes) 224.359 * * [simplify]: Extracting #0: cost 1 inf + 0 224.360 * * [simplify]: Extracting #1: cost 201 inf + 0 224.362 * * [simplify]: Extracting #2: cost 975 inf + 2 224.372 * * [simplify]: Extracting #3: cost 1133 inf + 2425 224.378 * * [simplify]: Extracting #4: cost 1083 inf + 11117 224.399 * * [simplify]: Extracting #5: cost 810 inf + 92981 224.462 * * [simplify]: Extracting #6: cost 195 inf + 325071 224.590 * * [simplify]: Extracting #7: cost 2 inf + 384426 224.690 * * [simplify]: Extracting #8: cost 0 inf + 383399 224.776 * * [simplify]: Extracting #9: cost 0 inf + 383279 224.925 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))) (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))))) 224.925 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (* a1 (cos th)) (* (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th))) (/ (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* a1 (cos th)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 224.925 * * * * [progress]: [ 116 / 4148 ] simplifiying candidate # 224.925 * [simplify]: Simplifying (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 224.926 * * [simplify]: iters left: 6 (21 enodes) 224.937 * * [simplify]: iters left: 5 (101 enodes) 224.979 * * [simplify]: iters left: 4 (340 enodes) 225.448 * * [simplify]: Extracting #0: cost 1 inf + 0 225.449 * * [simplify]: Extracting #1: cost 278 inf + 0 225.454 * * [simplify]: Extracting #2: cost 843 inf + 2 225.459 * * [simplify]: Extracting #3: cost 910 inf + 1861 225.464 * * [simplify]: Extracting #4: cost 888 inf + 5478 225.469 * * [simplify]: Extracting #5: cost 881 inf + 6117 225.480 * * [simplify]: Extracting #6: cost 745 inf + 59319 225.549 * * [simplify]: Extracting #7: cost 170 inf + 322802 225.644 * * [simplify]: Extracting #8: cost 1 inf + 382103 225.833 * * [simplify]: Extracting #9: cost 0 inf + 380686 226.025 * * [simplify]: Extracting #10: cost 0 inf + 380566 226.149 * [simplify]: Simplified to (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))))) 226.149 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 226.149 * * * * [progress]: [ 117 / 4148 ] simplifiying candidate # 226.150 * [simplify]: Simplifying (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) 226.150 * * [simplify]: iters left: 6 (17 enodes) 226.155 * * [simplify]: iters left: 5 (68 enodes) 226.182 * * [simplify]: iters left: 4 (194 enodes) 226.317 * * [simplify]: Extracting #0: cost 1 inf + 0 226.317 * * [simplify]: Extracting #1: cost 82 inf + 0 226.318 * * [simplify]: Extracting #2: cost 288 inf + 2 226.319 * * [simplify]: Extracting #3: cost 296 inf + 1396 226.321 * * [simplify]: Extracting #4: cost 287 inf + 2571 226.323 * * [simplify]: Extracting #5: cost 247 inf + 12675 226.337 * * [simplify]: Extracting #6: cost 60 inf + 83558 226.382 * * [simplify]: Extracting #7: cost 0 inf + 106541 226.422 * * [simplify]: Extracting #8: cost 0 inf + 106381 226.448 * [simplify]: Simplified to (* (* (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2)))) (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 226.448 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (* (* (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2)))) (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 226.448 * * * * [progress]: [ 118 / 4148 ] simplifiying candidate # 226.448 * [simplify]: Simplifying (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) 226.448 * * [simplify]: iters left: 6 (21 enodes) 226.454 * * [simplify]: iters left: 5 (90 enodes) 226.473 * * [simplify]: iters left: 4 (246 enodes) 226.617 * * [simplify]: Extracting #0: cost 1 inf + 0 226.618 * * [simplify]: Extracting #1: cost 152 inf + 0 226.619 * * [simplify]: Extracting #2: cost 532 inf + 2 226.626 * * [simplify]: Extracting #3: cost 546 inf + 1358 226.629 * * [simplify]: Extracting #4: cost 519 inf + 6134 226.640 * * [simplify]: Extracting #5: cost 321 inf + 75795 226.684 * * [simplify]: Extracting #6: cost 12 inf + 203828 226.763 * * [simplify]: Extracting #7: cost 0 inf + 205394 226.842 * * [simplify]: Extracting #8: cost 0 inf + 204674 226.916 * * [simplify]: Extracting #9: cost 0 inf + 204594 226.986 * [simplify]: Simplified to (/ (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 226.987 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (/ (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 226.987 * * * * [progress]: [ 119 / 4148 ] simplifiying candidate # 226.987 * [simplify]: Simplifying (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 226.987 * * [simplify]: iters left: 6 (19 enodes) 226.993 * * [simplify]: iters left: 5 (85 enodes) 227.013 * * [simplify]: iters left: 4 (260 enodes) 227.254 * * [simplify]: Extracting #0: cost 1 inf + 0 227.254 * * [simplify]: Extracting #1: cost 166 inf + 0 227.258 * * [simplify]: Extracting #2: cost 586 inf + 3 227.264 * * [simplify]: Extracting #3: cost 616 inf + 298 227.287 * * [simplify]: Extracting #4: cost 401 inf + 83620 227.368 * * [simplify]: Extracting #5: cost 17 inf + 256458 227.426 * * [simplify]: Extracting #6: cost 0 inf + 258786 227.534 * * [simplify]: Extracting #7: cost 0 inf + 257266 227.617 * * [simplify]: Extracting #8: cost 0 inf + 257066 227.699 * * [simplify]: Extracting #9: cost 0 inf + 257026 227.813 * [simplify]: Simplified to (* (* (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 227.813 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (cbrt (* (* (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 227.814 * * * * [progress]: [ 120 / 4148 ] simplifiying candidate # 227.814 * * * * [progress]: [ 121 / 4148 ] simplifiying candidate # 227.814 * * * * [progress]: [ 122 / 4148 ] simplifiying candidate # 227.814 * * * * [progress]: [ 123 / 4148 ] simplifiying candidate # 227.814 * * * * [progress]: [ 124 / 4148 ] simplifiying candidate # 227.814 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 227.815 * * [simplify]: iters left: 6 (19 enodes) 227.825 * * [simplify]: iters left: 5 (70 enodes) 227.849 * * [simplify]: iters left: 4 (122 enodes) 227.889 * * [simplify]: iters left: 3 (184 enodes) 227.950 * * [simplify]: iters left: 2 (236 enodes) 228.005 * * [simplify]: iters left: 1 (299 enodes) 228.101 * * [simplify]: Extracting #0: cost 1 inf + 0 228.101 * * [simplify]: Extracting #1: cost 11 inf + 0 228.101 * * [simplify]: Extracting #2: cost 22 inf + 0 228.102 * * [simplify]: Extracting #3: cost 45 inf + 0 228.102 * * [simplify]: Extracting #4: cost 64 inf + 2 228.102 * * [simplify]: Extracting #5: cost 64 inf + 64 228.102 * * [simplify]: Extracting #6: cost 52 inf + 1967 228.104 * * [simplify]: Extracting #7: cost 21 inf + 9329 228.106 * * [simplify]: Extracting #8: cost 6 inf + 15522 228.110 * * [simplify]: Extracting #9: cost 0 inf + 19500 228.113 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 228.113 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 228.114 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 228.114 * * [simplify]: iters left: 6 (17 enodes) 228.123 * * [simplify]: iters left: 5 (58 enodes) 228.143 * * [simplify]: iters left: 4 (95 enodes) 228.160 * * [simplify]: iters left: 3 (150 enodes) 228.190 * * [simplify]: iters left: 2 (200 enodes) 228.233 * * [simplify]: iters left: 1 (257 enodes) 228.307 * * [simplify]: Extracting #0: cost 1 inf + 0 228.307 * * [simplify]: Extracting #1: cost 4 inf + 0 228.307 * * [simplify]: Extracting #2: cost 8 inf + 0 228.307 * * [simplify]: Extracting #3: cost 31 inf + 0 228.308 * * [simplify]: Extracting #4: cost 50 inf + 2 228.308 * * [simplify]: Extracting #5: cost 50 inf + 64 228.309 * * [simplify]: Extracting #6: cost 33 inf + 2370 228.312 * * [simplify]: Extracting #7: cost 9 inf + 8723 228.316 * * [simplify]: Extracting #8: cost 0 inf + 11382 228.321 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 228.321 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 228.321 * * * * [progress]: [ 125 / 4148 ] simplifiying candidate # 228.322 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 228.322 * * [simplify]: iters left: 6 (18 enodes) 228.331 * * [simplify]: iters left: 5 (63 enodes) 228.352 * * [simplify]: iters left: 4 (105 enodes) 228.387 * * [simplify]: iters left: 3 (163 enodes) 228.438 * * [simplify]: iters left: 2 (212 enodes) 228.507 * * [simplify]: iters left: 1 (269 enodes) 228.593 * * [simplify]: Extracting #0: cost 1 inf + 0 228.593 * * [simplify]: Extracting #1: cost 7 inf + 0 228.593 * * [simplify]: Extracting #2: cost 15 inf + 0 228.593 * * [simplify]: Extracting #3: cost 38 inf + 0 228.593 * * [simplify]: Extracting #4: cost 56 inf + 2 228.594 * * [simplify]: Extracting #5: cost 56 inf + 64 228.594 * * [simplify]: Extracting #6: cost 45 inf + 1462 228.595 * * [simplify]: Extracting #7: cost 16 inf + 8502 228.598 * * [simplify]: Extracting #8: cost 3 inf + 12491 228.600 * * [simplify]: Extracting #9: cost 0 inf + 14160 228.603 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) 228.603 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 228.604 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 228.604 * * [simplify]: iters left: 6 (17 enodes) 228.610 * * [simplify]: iters left: 5 (58 enodes) 228.630 * * [simplify]: iters left: 4 (96 enodes) 228.661 * * [simplify]: iters left: 3 (151 enodes) 228.698 * * [simplify]: iters left: 2 (201 enodes) 228.758 * * [simplify]: iters left: 1 (264 enodes) 228.859 * * [simplify]: Extracting #0: cost 1 inf + 0 228.859 * * [simplify]: Extracting #1: cost 4 inf + 0 228.860 * * [simplify]: Extracting #2: cost 9 inf + 0 228.860 * * [simplify]: Extracting #3: cost 32 inf + 0 228.860 * * [simplify]: Extracting #4: cost 51 inf + 2 228.860 * * [simplify]: Extracting #5: cost 50 inf + 125 228.862 * * [simplify]: Extracting #6: cost 29 inf + 3562 228.865 * * [simplify]: Extracting #7: cost 7 inf + 9290 228.870 * * [simplify]: Extracting #8: cost 0 inf + 11264 228.874 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 228.874 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 228.874 * * * * [progress]: [ 126 / 4148 ] simplifiying candidate # 228.874 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 228.874 * * [simplify]: iters left: 6 (18 enodes) 228.880 * * [simplify]: iters left: 5 (67 enodes) 228.891 * * [simplify]: iters left: 4 (99 enodes) 228.912 * * [simplify]: iters left: 3 (162 enodes) 228.964 * * [simplify]: iters left: 2 (221 enodes) 229.024 * * [simplify]: iters left: 1 (283 enodes) 229.146 * * [simplify]: Extracting #0: cost 1 inf + 0 229.146 * * [simplify]: Extracting #1: cost 9 inf + 0 229.146 * * [simplify]: Extracting #2: cost 16 inf + 1 229.146 * * [simplify]: Extracting #3: cost 36 inf + 1 229.147 * * [simplify]: Extracting #4: cost 55 inf + 2 229.147 * * [simplify]: Extracting #5: cost 42 inf + 1438 229.148 * * [simplify]: Extracting #6: cost 9 inf + 10937 229.151 * * [simplify]: Extracting #7: cost 1 inf + 13217 229.155 * * [simplify]: Extracting #8: cost 0 inf + 13760 229.612 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) 229.612 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 229.612 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 229.613 * * [simplify]: iters left: 6 (16 enodes) 229.621 * * [simplify]: iters left: 5 (57 enodes) 229.630 * * [simplify]: iters left: 4 (87 enodes) 229.644 * * [simplify]: iters left: 3 (141 enodes) 229.687 * * [simplify]: iters left: 2 (191 enodes) 229.743 * * [simplify]: iters left: 1 (248 enodes) 229.831 * * [simplify]: Extracting #0: cost 1 inf + 0 229.831 * * [simplify]: Extracting #1: cost 5 inf + 0 229.831 * * [simplify]: Extracting #2: cost 8 inf + 1 229.831 * * [simplify]: Extracting #3: cost 28 inf + 1 229.831 * * [simplify]: Extracting #4: cost 46 inf + 2 229.832 * * [simplify]: Extracting #5: cost 37 inf + 751 229.833 * * [simplify]: Extracting #6: cost 10 inf + 6267 229.834 * * [simplify]: Extracting #7: cost 2 inf + 8648 229.836 * * [simplify]: Extracting #8: cost 0 inf + 9534 229.838 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) 229.838 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 229.839 * * * * [progress]: [ 127 / 4148 ] simplifiying candidate # 229.839 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 229.839 * * [simplify]: iters left: 6 (17 enodes) 229.844 * * [simplify]: iters left: 5 (62 enodes) 229.858 * * [simplify]: iters left: 4 (96 enodes) 229.889 * * [simplify]: iters left: 3 (159 enodes) 229.937 * * [simplify]: iters left: 2 (214 enodes) 229.999 * * [simplify]: iters left: 1 (282 enodes) 230.099 * * [simplify]: Extracting #0: cost 1 inf + 0 230.099 * * [simplify]: Extracting #1: cost 9 inf + 0 230.100 * * [simplify]: Extracting #2: cost 16 inf + 1 230.100 * * [simplify]: Extracting #3: cost 36 inf + 1 230.100 * * [simplify]: Extracting #4: cost 55 inf + 2 230.101 * * [simplify]: Extracting #5: cost 46 inf + 954 230.102 * * [simplify]: Extracting #6: cost 26 inf + 4370 230.106 * * [simplify]: Extracting #7: cost 3 inf + 12212 230.112 * * [simplify]: Extracting #8: cost 1 inf + 13217 230.117 * * [simplify]: Extracting #9: cost 0 inf + 13760 230.123 * [simplify]: Simplified to (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 230.123 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 230.124 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 230.124 * * [simplify]: iters left: 6 (16 enodes) 230.132 * * [simplify]: iters left: 5 (57 enodes) 230.142 * * [simplify]: iters left: 4 (87 enodes) 230.157 * * [simplify]: iters left: 3 (141 enodes) 230.201 * * [simplify]: iters left: 2 (191 enodes) 230.272 * * [simplify]: iters left: 1 (248 enodes) 230.368 * * [simplify]: Extracting #0: cost 1 inf + 0 230.368 * * [simplify]: Extracting #1: cost 5 inf + 0 230.368 * * [simplify]: Extracting #2: cost 8 inf + 1 230.368 * * [simplify]: Extracting #3: cost 28 inf + 1 230.368 * * [simplify]: Extracting #4: cost 46 inf + 2 230.369 * * [simplify]: Extracting #5: cost 37 inf + 751 230.371 * * [simplify]: Extracting #6: cost 10 inf + 6267 230.374 * * [simplify]: Extracting #7: cost 2 inf + 8648 230.378 * * [simplify]: Extracting #8: cost 0 inf + 9534 230.383 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) 230.383 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 230.383 * * * * [progress]: [ 128 / 4148 ] simplifiying candidate # 230.384 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 230.384 * * [simplify]: iters left: 6 (16 enodes) 230.392 * * [simplify]: iters left: 5 (57 enodes) 230.416 * * [simplify]: iters left: 4 (93 enodes) 230.432 * * [simplify]: iters left: 3 (156 enodes) 230.458 * * [simplify]: iters left: 2 (212 enodes) 230.533 * * [simplify]: iters left: 1 (274 enodes) 230.609 * * [simplify]: Extracting #0: cost 1 inf + 0 230.609 * * [simplify]: Extracting #1: cost 9 inf + 0 230.609 * * [simplify]: Extracting #2: cost 16 inf + 1 230.609 * * [simplify]: Extracting #3: cost 36 inf + 1 230.610 * * [simplify]: Extracting #4: cost 54 inf + 2 230.610 * * [simplify]: Extracting #5: cost 44 inf + 1033 230.611 * * [simplify]: Extracting #6: cost 10 inf + 9811 230.614 * * [simplify]: Extracting #7: cost 0 inf + 13558 230.618 * [simplify]: Simplified to (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 230.618 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 230.618 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 230.618 * * [simplify]: iters left: 6 (15 enodes) 230.626 * * [simplify]: iters left: 5 (52 enodes) 230.644 * * [simplify]: iters left: 4 (84 enodes) 230.672 * * [simplify]: iters left: 3 (139 enodes) 230.697 * * [simplify]: iters left: 2 (190 enodes) 230.747 * * [simplify]: iters left: 1 (247 enodes) 230.815 * * [simplify]: Extracting #0: cost 1 inf + 0 230.815 * * [simplify]: Extracting #1: cost 5 inf + 0 230.815 * * [simplify]: Extracting #2: cost 8 inf + 1 230.815 * * [simplify]: Extracting #3: cost 28 inf + 1 230.815 * * [simplify]: Extracting #4: cost 47 inf + 2 230.816 * * [simplify]: Extracting #5: cost 40 inf + 611 230.817 * * [simplify]: Extracting #6: cost 12 inf + 6024 230.820 * * [simplify]: Extracting #7: cost 0 inf + 9736 230.824 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 230.824 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 230.825 * * * * [progress]: [ 129 / 4148 ] simplifiying candidate # 230.825 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 230.825 * * [simplify]: iters left: 6 (14 enodes) 230.832 * * [simplify]: iters left: 5 (49 enodes) 230.848 * * [simplify]: iters left: 4 (86 enodes) 230.862 * * [simplify]: iters left: 3 (141 enodes) 230.892 * * [simplify]: iters left: 2 (190 enodes) 230.934 * * [simplify]: iters left: 1 (253 enodes) 231.008 * * [simplify]: Extracting #0: cost 1 inf + 0 231.008 * * [simplify]: Extracting #1: cost 5 inf + 0 231.008 * * [simplify]: Extracting #2: cost 7 inf + 1 231.008 * * [simplify]: Extracting #3: cost 26 inf + 1 231.008 * * [simplify]: Extracting #4: cost 44 inf + 2 231.009 * * [simplify]: Extracting #5: cost 44 inf + 64 231.009 * * [simplify]: Extracting #6: cost 34 inf + 1240 231.010 * * [simplify]: Extracting #7: cost 10 inf + 7176 231.012 * * [simplify]: Extracting #8: cost 0 inf + 9820 231.015 * [simplify]: Simplified to (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 231.015 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 231.015 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 231.015 * * [simplify]: iters left: 6 (16 enodes) 231.021 * * [simplify]: iters left: 5 (57 enodes) 231.040 * * [simplify]: iters left: 4 (99 enodes) 231.059 * * [simplify]: iters left: 3 (164 enodes) 231.097 * * [simplify]: iters left: 2 (220 enodes) 231.156 * * [simplify]: iters left: 1 (289 enodes) 231.268 * * [simplify]: Extracting #0: cost 1 inf + 0 231.268 * * [simplify]: Extracting #1: cost 12 inf + 0 231.269 * * [simplify]: Extracting #2: cost 21 inf + 1 231.269 * * [simplify]: Extracting #3: cost 41 inf + 1 231.269 * * [simplify]: Extracting #4: cost 59 inf + 2 231.270 * * [simplify]: Extracting #5: cost 49 inf + 875 231.271 * * [simplify]: Extracting #6: cost 10 inf + 11141 231.274 * * [simplify]: Extracting #7: cost 0 inf + 14524 231.277 * [simplify]: Simplified to (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 231.277 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 231.278 * * * * [progress]: [ 130 / 4148 ] simplifiying candidate # 231.278 * [simplify]: Simplifying (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 231.278 * * [simplify]: iters left: 6 (16 enodes) 231.282 * * [simplify]: iters left: 5 (61 enodes) 231.298 * * [simplify]: iters left: 4 (106 enodes) 231.328 * * [simplify]: iters left: 3 (167 enodes) 231.362 * * [simplify]: iters left: 2 (217 enodes) 231.425 * * [simplify]: iters left: 1 (280 enodes) 231.521 * * [simplify]: Extracting #0: cost 1 inf + 0 231.522 * * [simplify]: Extracting #1: cost 11 inf + 0 231.522 * * [simplify]: Extracting #2: cost 22 inf + 0 231.522 * * [simplify]: Extracting #3: cost 43 inf + 0 231.522 * * [simplify]: Extracting #4: cost 61 inf + 2 231.522 * * [simplify]: Extracting #5: cost 52 inf + 873 231.524 * * [simplify]: Extracting #6: cost 17 inf + 9727 231.526 * * [simplify]: Extracting #7: cost 1 inf + 15911 231.530 * * [simplify]: Extracting #8: cost 0 inf + 16414 231.536 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 231.536 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 231.537 * [simplify]: Simplifying (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 231.537 * * [simplify]: iters left: 6 (14 enodes) 231.544 * * [simplify]: iters left: 5 (47 enodes) 231.561 * * [simplify]: iters left: 4 (77 enodes) 231.586 * * [simplify]: iters left: 3 (131 enodes) 231.616 * * [simplify]: iters left: 2 (180 enodes) 231.674 * * [simplify]: iters left: 1 (249 enodes) 231.738 * * [simplify]: Extracting #0: cost 1 inf + 0 231.738 * * [simplify]: Extracting #1: cost 4 inf + 0 231.738 * * [simplify]: Extracting #2: cost 22 inf + 1 231.738 * * [simplify]: Extracting #3: cost 40 inf + 2 231.738 * * [simplify]: Extracting #4: cost 39 inf + 125 231.739 * * [simplify]: Extracting #5: cost 35 inf + 371 231.739 * * [simplify]: Extracting #6: cost 19 inf + 3421 231.741 * * [simplify]: Extracting #7: cost 1 inf + 7743 231.743 * * [simplify]: Extracting #8: cost 0 inf + 8126 231.744 * [simplify]: Simplified to (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) 231.745 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 231.745 * * * * [progress]: [ 131 / 4148 ] simplifiying candidate # 231.745 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 231.745 * * [simplify]: iters left: 6 (18 enodes) 231.754 * * [simplify]: iters left: 5 (63 enodes) 231.778 * * [simplify]: iters left: 4 (102 enodes) 231.810 * * [simplify]: iters left: 3 (157 enodes) 231.861 * * [simplify]: iters left: 2 (205 enodes) 231.940 * * [simplify]: iters left: 1 (262 enodes) 232.069 * * [simplify]: Extracting #0: cost 1 inf + 0 232.069 * * [simplify]: Extracting #1: cost 6 inf + 0 232.070 * * [simplify]: Extracting #2: cost 12 inf + 0 232.070 * * [simplify]: Extracting #3: cost 35 inf + 0 232.070 * * [simplify]: Extracting #4: cost 55 inf + 2 232.070 * * [simplify]: Extracting #5: cost 55 inf + 64 232.071 * * [simplify]: Extracting #6: cost 42 inf + 2007 232.074 * * [simplify]: Extracting #7: cost 13 inf + 8502 232.079 * * [simplify]: Extracting #8: cost 1 inf + 12769 232.084 * * [simplify]: Extracting #9: cost 0 inf + 13392 232.089 * [simplify]: Simplified to (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 232.089 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 232.090 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 232.090 * * [simplify]: iters left: 6 (17 enodes) 232.099 * * [simplify]: iters left: 5 (58 enodes) 232.119 * * [simplify]: iters left: 4 (95 enodes) 232.138 * * [simplify]: iters left: 3 (150 enodes) 232.166 * * [simplify]: iters left: 2 (200 enodes) 232.205 * * [simplify]: iters left: 1 (257 enodes) 232.294 * * [simplify]: Extracting #0: cost 1 inf + 0 232.294 * * [simplify]: Extracting #1: cost 4 inf + 0 232.294 * * [simplify]: Extracting #2: cost 8 inf + 0 232.294 * * [simplify]: Extracting #3: cost 31 inf + 0 232.294 * * [simplify]: Extracting #4: cost 50 inf + 2 232.294 * * [simplify]: Extracting #5: cost 50 inf + 64 232.295 * * [simplify]: Extracting #6: cost 33 inf + 2370 232.296 * * [simplify]: Extracting #7: cost 9 inf + 8603 232.298 * * [simplify]: Extracting #8: cost 0 inf + 11222 232.300 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 232.300 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 232.301 * * * * [progress]: [ 132 / 4148 ] simplifiying candidate # 232.301 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 232.301 * * [simplify]: iters left: 6 (17 enodes) 232.305 * * [simplify]: iters left: 5 (58 enodes) 232.316 * * [simplify]: iters left: 4 (96 enodes) 232.345 * * [simplify]: iters left: 3 (151 enodes) 232.394 * * [simplify]: iters left: 2 (201 enodes) 232.442 * * [simplify]: iters left: 1 (264 enodes) 232.545 * * [simplify]: Extracting #0: cost 1 inf + 0 232.545 * * [simplify]: Extracting #1: cost 4 inf + 0 232.545 * * [simplify]: Extracting #2: cost 9 inf + 0 232.545 * * [simplify]: Extracting #3: cost 32 inf + 0 232.546 * * [simplify]: Extracting #4: cost 51 inf + 2 232.546 * * [simplify]: Extracting #5: cost 50 inf + 125 232.547 * * [simplify]: Extracting #6: cost 29 inf + 3562 232.551 * * [simplify]: Extracting #7: cost 7 inf + 9170 232.555 * * [simplify]: Extracting #8: cost 0 inf + 11104 232.560 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 232.560 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 232.561 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 232.561 * * [simplify]: iters left: 6 (17 enodes) 232.568 * * [simplify]: iters left: 5 (58 enodes) 232.578 * * [simplify]: iters left: 4 (96 enodes) 232.597 * * [simplify]: iters left: 3 (151 enodes) 232.645 * * [simplify]: iters left: 2 (201 enodes) 232.723 * * [simplify]: iters left: 1 (264 enodes) 232.825 * * [simplify]: Extracting #0: cost 1 inf + 0 232.826 * * [simplify]: Extracting #1: cost 4 inf + 0 232.826 * * [simplify]: Extracting #2: cost 9 inf + 0 232.826 * * [simplify]: Extracting #3: cost 32 inf + 0 232.826 * * [simplify]: Extracting #4: cost 51 inf + 2 232.827 * * [simplify]: Extracting #5: cost 50 inf + 125 232.828 * * [simplify]: Extracting #6: cost 29 inf + 3562 232.830 * * [simplify]: Extracting #7: cost 7 inf + 9170 232.832 * * [simplify]: Extracting #8: cost 0 inf + 11104 232.835 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 232.835 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 232.835 * * * * [progress]: [ 133 / 4148 ] simplifiying candidate # 232.835 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 232.835 * * [simplify]: iters left: 6 (17 enodes) 232.841 * * [simplify]: iters left: 5 (62 enodes) 232.852 * * [simplify]: iters left: 4 (90 enodes) 232.872 * * [simplify]: iters left: 3 (144 enodes) 232.903 * * [simplify]: iters left: 2 (192 enodes) 232.955 * * [simplify]: iters left: 1 (255 enodes) 233.034 * * [simplify]: Extracting #0: cost 1 inf + 0 233.034 * * [simplify]: Extracting #1: cost 5 inf + 0 233.034 * * [simplify]: Extracting #2: cost 8 inf + 1 233.034 * * [simplify]: Extracting #3: cost 28 inf + 1 233.035 * * [simplify]: Extracting #4: cost 47 inf + 2 233.035 * * [simplify]: Extracting #5: cost 39 inf + 812 233.037 * * [simplify]: Extracting #6: cost 8 inf + 7798 233.041 * * [simplify]: Extracting #7: cost 0 inf + 9576 233.048 * [simplify]: Simplified to (/ (sqrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 233.048 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 233.048 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 233.048 * * [simplify]: iters left: 6 (16 enodes) 233.058 * * [simplify]: iters left: 5 (57 enodes) 233.077 * * [simplify]: iters left: 4 (87 enodes) 233.105 * * [simplify]: iters left: 3 (141 enodes) 233.137 * * [simplify]: iters left: 2 (191 enodes) 233.199 * * [simplify]: iters left: 1 (248 enodes) 233.295 * * [simplify]: Extracting #0: cost 1 inf + 0 233.295 * * [simplify]: Extracting #1: cost 5 inf + 0 233.295 * * [simplify]: Extracting #2: cost 8 inf + 1 233.295 * * [simplify]: Extracting #3: cost 28 inf + 1 233.296 * * [simplify]: Extracting #4: cost 46 inf + 2 233.296 * * [simplify]: Extracting #5: cost 37 inf + 751 233.298 * * [simplify]: Extracting #6: cost 10 inf + 6267 233.302 * * [simplify]: Extracting #7: cost 2 inf + 8568 233.306 * * [simplify]: Extracting #8: cost 0 inf + 9374 233.310 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) 233.310 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 233.311 * * * * [progress]: [ 134 / 4148 ] simplifiying candidate # 233.311 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 233.311 * * [simplify]: iters left: 6 (16 enodes) 233.321 * * [simplify]: iters left: 5 (57 enodes) 233.340 * * [simplify]: iters left: 4 (87 enodes) 233.363 * * [simplify]: iters left: 3 (141 enodes) 233.389 * * [simplify]: iters left: 2 (191 enodes) 233.435 * * [simplify]: iters left: 1 (248 enodes) 233.507 * * [simplify]: Extracting #0: cost 1 inf + 0 233.507 * * [simplify]: Extracting #1: cost 5 inf + 0 233.507 * * [simplify]: Extracting #2: cost 8 inf + 1 233.507 * * [simplify]: Extracting #3: cost 28 inf + 1 233.507 * * [simplify]: Extracting #4: cost 46 inf + 2 233.508 * * [simplify]: Extracting #5: cost 37 inf + 751 233.510 * * [simplify]: Extracting #6: cost 10 inf + 6267 233.514 * * [simplify]: Extracting #7: cost 2 inf + 8568 233.516 * * [simplify]: Extracting #8: cost 0 inf + 9374 233.518 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) 233.518 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 233.519 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 233.519 * * [simplify]: iters left: 6 (16 enodes) 233.524 * * [simplify]: iters left: 5 (57 enodes) 233.534 * * [simplify]: iters left: 4 (87 enodes) 233.548 * * [simplify]: iters left: 3 (141 enodes) 233.571 * * [simplify]: iters left: 2 (191 enodes) 233.630 * * [simplify]: iters left: 1 (248 enodes) 233.753 * * [simplify]: Extracting #0: cost 1 inf + 0 233.753 * * [simplify]: Extracting #1: cost 5 inf + 0 233.753 * * [simplify]: Extracting #2: cost 8 inf + 1 233.753 * * [simplify]: Extracting #3: cost 28 inf + 1 233.754 * * [simplify]: Extracting #4: cost 46 inf + 2 233.754 * * [simplify]: Extracting #5: cost 37 inf + 751 233.756 * * [simplify]: Extracting #6: cost 10 inf + 6267 233.758 * * [simplify]: Extracting #7: cost 2 inf + 8568 233.760 * * [simplify]: Extracting #8: cost 0 inf + 9374 233.762 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2)))) 233.763 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 233.763 * * * * [progress]: [ 135 / 4148 ] simplifiying candidate # 233.763 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 233.763 * * [simplify]: iters left: 6 (15 enodes) 233.768 * * [simplify]: iters left: 5 (52 enodes) 233.784 * * [simplify]: iters left: 4 (84 enodes) 233.808 * * [simplify]: iters left: 3 (139 enodes) 233.834 * * [simplify]: iters left: 2 (190 enodes) 233.893 * * [simplify]: iters left: 1 (247 enodes) 233.985 * * [simplify]: Extracting #0: cost 1 inf + 0 233.985 * * [simplify]: Extracting #1: cost 5 inf + 0 233.985 * * [simplify]: Extracting #2: cost 8 inf + 1 233.986 * * [simplify]: Extracting #3: cost 28 inf + 1 233.986 * * [simplify]: Extracting #4: cost 47 inf + 2 233.986 * * [simplify]: Extracting #5: cost 40 inf + 611 233.987 * * [simplify]: Extracting #6: cost 12 inf + 6024 233.989 * * [simplify]: Extracting #7: cost 0 inf + 9576 233.991 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 233.991 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 233.991 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 233.991 * * [simplify]: iters left: 6 (15 enodes) 233.996 * * [simplify]: iters left: 5 (52 enodes) 234.007 * * [simplify]: iters left: 4 (84 enodes) 234.035 * * [simplify]: iters left: 3 (139 enodes) 234.081 * * [simplify]: iters left: 2 (190 enodes) 234.137 * * [simplify]: iters left: 1 (247 enodes) 234.221 * * [simplify]: Extracting #0: cost 1 inf + 0 234.221 * * [simplify]: Extracting #1: cost 5 inf + 0 234.221 * * [simplify]: Extracting #2: cost 8 inf + 1 234.221 * * [simplify]: Extracting #3: cost 28 inf + 1 234.222 * * [simplify]: Extracting #4: cost 47 inf + 2 234.222 * * [simplify]: Extracting #5: cost 40 inf + 611 234.224 * * [simplify]: Extracting #6: cost 12 inf + 6024 234.228 * * [simplify]: Extracting #7: cost 0 inf + 9576 234.232 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 234.232 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 234.232 * * * * [progress]: [ 136 / 4148 ] simplifiying candidate # 234.233 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) 234.233 * * [simplify]: iters left: 6 (13 enodes) 234.240 * * [simplify]: iters left: 5 (44 enodes) 234.255 * * [simplify]: iters left: 4 (74 enodes) 234.281 * * [simplify]: iters left: 3 (128 enodes) 234.327 * * [simplify]: iters left: 2 (176 enodes) 234.397 * * [simplify]: iters left: 1 (239 enodes) 234.484 * * [simplify]: Extracting #0: cost 1 inf + 0 234.484 * * [simplify]: Extracting #1: cost 4 inf + 0 234.484 * * [simplify]: Extracting #2: cost 22 inf + 1 234.484 * * [simplify]: Extracting #3: cost 41 inf + 2 234.484 * * [simplify]: Extracting #4: cost 40 inf + 125 234.485 * * [simplify]: Extracting #5: cost 35 inf + 412 234.487 * * [simplify]: Extracting #6: cost 11 inf + 5239 234.489 * * [simplify]: Extracting #7: cost 1 inf + 7946 234.490 * * [simplify]: Extracting #8: cost 0 inf + 8248 234.492 * [simplify]: Simplified to (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 234.493 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 234.493 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 234.493 * * [simplify]: iters left: 6 (16 enodes) 234.497 * * [simplify]: iters left: 5 (57 enodes) 234.508 * * [simplify]: iters left: 4 (99 enodes) 234.527 * * [simplify]: iters left: 3 (164 enodes) 234.555 * * [simplify]: iters left: 2 (220 enodes) 234.611 * * [simplify]: iters left: 1 (289 enodes) 234.707 * * [simplify]: Extracting #0: cost 1 inf + 0 234.707 * * [simplify]: Extracting #1: cost 12 inf + 0 234.707 * * [simplify]: Extracting #2: cost 21 inf + 1 234.707 * * [simplify]: Extracting #3: cost 41 inf + 1 234.707 * * [simplify]: Extracting #4: cost 59 inf + 2 234.708 * * [simplify]: Extracting #5: cost 49 inf + 875 234.709 * * [simplify]: Extracting #6: cost 10 inf + 10861 234.712 * * [simplify]: Extracting #7: cost 0 inf + 14124 234.715 * [simplify]: Simplified to (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 234.715 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) (/ (sqrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 234.716 * * * * [progress]: [ 137 / 4148 ] simplifiying candidate # 234.716 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 234.716 * * [simplify]: iters left: 6 (15 enodes) 234.720 * * [simplify]: iters left: 5 (54 enodes) 234.731 * * [simplify]: iters left: 4 (86 enodes) 234.749 * * [simplify]: iters left: 3 (140 enodes) 234.776 * * [simplify]: iters left: 2 (189 enodes) 234.835 * * [simplify]: iters left: 1 (246 enodes) 234.922 * * [simplify]: Extracting #0: cost 1 inf + 0 234.922 * * [simplify]: Extracting #1: cost 6 inf + 0 234.922 * * [simplify]: Extracting #2: cost 12 inf + 0 234.922 * * [simplify]: Extracting #3: cost 33 inf + 0 234.922 * * [simplify]: Extracting #4: cost 50 inf + 2 234.922 * * [simplify]: Extracting #5: cost 39 inf + 1136 234.924 * * [simplify]: Extracting #6: cost 8 inf + 8904 234.926 * * [simplify]: Extracting #7: cost 0 inf + 10862 234.928 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 234.928 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 234.928 * [simplify]: Simplifying (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 234.928 * * [simplify]: iters left: 6 (14 enodes) 234.932 * * [simplify]: iters left: 5 (47 enodes) 234.947 * * [simplify]: iters left: 4 (77 enodes) 234.972 * * [simplify]: iters left: 3 (131 enodes) 235.006 * * [simplify]: iters left: 2 (180 enodes) 235.057 * * [simplify]: iters left: 1 (249 enodes) 235.130 * * [simplify]: Extracting #0: cost 1 inf + 0 235.130 * * [simplify]: Extracting #1: cost 4 inf + 0 235.130 * * [simplify]: Extracting #2: cost 22 inf + 1 235.131 * * [simplify]: Extracting #3: cost 40 inf + 2 235.131 * * [simplify]: Extracting #4: cost 39 inf + 125 235.131 * * [simplify]: Extracting #5: cost 35 inf + 371 235.132 * * [simplify]: Extracting #6: cost 19 inf + 3421 235.134 * * [simplify]: Extracting #7: cost 1 inf + 7703 235.137 * * [simplify]: Extracting #8: cost 0 inf + 8046 235.141 * [simplify]: Simplified to (sqrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) 235.141 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.142 * * * * [progress]: [ 138 / 4148 ] simplifiying candidate # 235.142 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 235.142 * * [simplify]: iters left: 6 (17 enodes) 235.154 * * [simplify]: iters left: 5 (59 enodes) 235.173 * * [simplify]: iters left: 4 (94 enodes) 235.190 * * [simplify]: iters left: 3 (130 enodes) 235.211 * * [simplify]: iters left: 2 (140 enodes) 235.240 * * [simplify]: Extracting #0: cost 1 inf + 0 235.240 * * [simplify]: Extracting #1: cost 18 inf + 0 235.240 * * [simplify]: Extracting #2: cost 37 inf + 0 235.240 * * [simplify]: Extracting #3: cost 42 inf + 62 235.240 * * [simplify]: Extracting #4: cost 45 inf + 124 235.240 * * [simplify]: Extracting #5: cost 47 inf + 124 235.241 * * [simplify]: Extracting #6: cost 37 inf + 1535 235.242 * * [simplify]: Extracting #7: cost 19 inf + 7601 235.244 * * [simplify]: Extracting #8: cost 2 inf + 15968 235.246 * * [simplify]: Extracting #9: cost 0 inf + 17071 235.249 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 235.249 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.250 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 235.250 * * [simplify]: iters left: 6 (14 enodes) 235.254 * * [simplify]: iters left: 5 (46 enodes) 235.264 * * [simplify]: iters left: 4 (68 enodes) 235.282 * * [simplify]: iters left: 3 (72 enodes) 235.301 * * [simplify]: Extracting #0: cost 1 inf + 0 235.301 * * [simplify]: Extracting #1: cost 8 inf + 0 235.301 * * [simplify]: Extracting #2: cost 14 inf + 1 235.301 * * [simplify]: Extracting #3: cost 21 inf + 1 235.301 * * [simplify]: Extracting #4: cost 25 inf + 2 235.301 * * [simplify]: Extracting #5: cost 27 inf + 2 235.301 * * [simplify]: Extracting #6: cost 26 inf + 3 235.302 * * [simplify]: Extracting #7: cost 20 inf + 690 235.302 * * [simplify]: Extracting #8: cost 7 inf + 4388 235.304 * * [simplify]: Extracting #9: cost 0 inf + 6759 235.306 * [simplify]: Simplified to (/ a1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 235.306 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ a1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.306 * * * * [progress]: [ 139 / 4148 ] simplifiying candidate # 235.307 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 235.307 * * [simplify]: iters left: 6 (16 enodes) 235.315 * * [simplify]: iters left: 5 (54 enodes) 235.333 * * [simplify]: iters left: 4 (82 enodes) 235.357 * * [simplify]: iters left: 3 (96 enodes) 235.382 * * [simplify]: iters left: 2 (98 enodes) 235.407 * * [simplify]: Extracting #0: cost 1 inf + 0 235.407 * * [simplify]: Extracting #1: cost 12 inf + 0 235.407 * * [simplify]: Extracting #2: cost 26 inf + 0 235.407 * * [simplify]: Extracting #3: cost 31 inf + 62 235.408 * * [simplify]: Extracting #4: cost 33 inf + 124 235.408 * * [simplify]: Extracting #5: cost 35 inf + 124 235.408 * * [simplify]: Extracting #6: cost 30 inf + 650 235.408 * * [simplify]: Extracting #7: cost 18 inf + 2984 235.409 * * [simplify]: Extracting #8: cost 2 inf + 8950 235.411 * * [simplify]: Extracting #9: cost 0 inf + 9893 235.412 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 235.412 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.412 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 235.412 * * [simplify]: iters left: 6 (14 enodes) 235.416 * * [simplify]: iters left: 5 (46 enodes) 235.424 * * [simplify]: iters left: 4 (69 enodes) 235.434 * * [simplify]: iters left: 3 (73 enodes) 235.444 * * [simplify]: Extracting #0: cost 1 inf + 0 235.444 * * [simplify]: Extracting #1: cost 8 inf + 0 235.444 * * [simplify]: Extracting #2: cost 15 inf + 1 235.444 * * [simplify]: Extracting #3: cost 22 inf + 1 235.444 * * [simplify]: Extracting #4: cost 25 inf + 2 235.444 * * [simplify]: Extracting #5: cost 27 inf + 2 235.444 * * [simplify]: Extracting #6: cost 26 inf + 3 235.444 * * [simplify]: Extracting #7: cost 20 inf + 690 235.445 * * [simplify]: Extracting #8: cost 6 inf + 4230 235.446 * * [simplify]: Extracting #9: cost 0 inf + 6119 235.448 * [simplify]: Simplified to (/ a1 (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 235.448 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ a1 (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.448 * * * * [progress]: [ 140 / 4148 ] simplifiying candidate # 235.448 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 235.449 * * [simplify]: iters left: 6 (16 enodes) 235.460 * * [simplify]: iters left: 5 (58 enodes) 235.478 * * [simplify]: iters left: 4 (76 enodes) 235.499 * * [simplify]: iters left: 3 (99 enodes) 235.529 * * [simplify]: iters left: 2 (131 enodes) 235.552 * * [simplify]: iters left: 1 (204 enodes) 235.606 * * [simplify]: Extracting #0: cost 1 inf + 0 235.606 * * [simplify]: Extracting #1: cost 23 inf + 0 235.606 * * [simplify]: Extracting #2: cost 46 inf + 1 235.607 * * [simplify]: Extracting #3: cost 48 inf + 63 235.607 * * [simplify]: Extracting #4: cost 50 inf + 124 235.607 * * [simplify]: Extracting #5: cost 34 inf + 3527 235.610 * * [simplify]: Extracting #6: cost 6 inf + 13376 235.613 * * [simplify]: Extracting #7: cost 0 inf + 15868 235.621 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 235.621 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.621 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 235.621 * * [simplify]: iters left: 6 (13 enodes) 235.631 * * [simplify]: iters left: 5 (45 enodes) 235.642 * * [simplify]: iters left: 4 (60 enodes) 235.650 * * [simplify]: iters left: 3 (70 enodes) 235.660 * * [simplify]: iters left: 2 (81 enodes) 235.674 * * [simplify]: iters left: 1 (105 enodes) 235.704 * * [simplify]: Extracting #0: cost 1 inf + 0 235.704 * * [simplify]: Extracting #1: cost 13 inf + 0 235.704 * * [simplify]: Extracting #2: cost 25 inf + 2 235.704 * * [simplify]: Extracting #3: cost 29 inf + 2 235.704 * * [simplify]: Extracting #4: cost 32 inf + 2 235.704 * * [simplify]: Extracting #5: cost 31 inf + 3 235.704 * * [simplify]: Extracting #6: cost 24 inf + 973 235.705 * * [simplify]: Extracting #7: cost 6 inf + 5564 235.706 * * [simplify]: Extracting #8: cost 1 inf + 7492 235.707 * * [simplify]: Extracting #9: cost 0 inf + 7894 235.709 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 235.709 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.709 * * * * [progress]: [ 141 / 4148 ] simplifiying candidate # 235.709 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 235.709 * * [simplify]: iters left: 6 (15 enodes) 235.714 * * [simplify]: iters left: 5 (53 enodes) 235.723 * * [simplify]: iters left: 4 (73 enodes) 235.737 * * [simplify]: iters left: 3 (96 enodes) 235.766 * * [simplify]: iters left: 2 (128 enodes) 235.802 * * [simplify]: iters left: 1 (201 enodes) 235.857 * * [simplify]: Extracting #0: cost 1 inf + 0 235.857 * * [simplify]: Extracting #1: cost 22 inf + 0 235.857 * * [simplify]: Extracting #2: cost 43 inf + 1 235.858 * * [simplify]: Extracting #3: cost 44 inf + 124 235.858 * * [simplify]: Extracting #4: cost 47 inf + 124 235.859 * * [simplify]: Extracting #5: cost 34 inf + 2460 235.863 * * [simplify]: Extracting #6: cost 7 inf + 11988 235.869 * * [simplify]: Extracting #7: cost 0 inf + 14521 235.879 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 235.879 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.879 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 235.879 * * [simplify]: iters left: 6 (13 enodes) 235.888 * * [simplify]: iters left: 5 (45 enodes) 235.901 * * [simplify]: iters left: 4 (60 enodes) 235.909 * * [simplify]: iters left: 3 (70 enodes) 235.919 * * [simplify]: iters left: 2 (81 enodes) 235.932 * * [simplify]: iters left: 1 (105 enodes) 235.962 * * [simplify]: Extracting #0: cost 1 inf + 0 235.962 * * [simplify]: Extracting #1: cost 13 inf + 0 235.963 * * [simplify]: Extracting #2: cost 25 inf + 2 235.963 * * [simplify]: Extracting #3: cost 29 inf + 2 235.963 * * [simplify]: Extracting #4: cost 32 inf + 2 235.963 * * [simplify]: Extracting #5: cost 31 inf + 3 235.963 * * [simplify]: Extracting #6: cost 24 inf + 973 235.965 * * [simplify]: Extracting #7: cost 6 inf + 5564 235.967 * * [simplify]: Extracting #8: cost 1 inf + 7492 235.970 * * [simplify]: Extracting #9: cost 0 inf + 7894 235.972 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 235.972 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 235.972 * * * * [progress]: [ 142 / 4148 ] simplifiying candidate # 235.973 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 235.973 * * [simplify]: iters left: 6 (14 enodes) 235.980 * * [simplify]: iters left: 5 (48 enodes) 235.993 * * [simplify]: iters left: 4 (70 enodes) 236.003 * * [simplify]: iters left: 3 (94 enodes) 236.018 * * [simplify]: iters left: 2 (129 enodes) 236.052 * * [simplify]: iters left: 1 (201 enodes) 236.104 * * [simplify]: Extracting #0: cost 1 inf + 0 236.104 * * [simplify]: Extracting #1: cost 21 inf + 0 236.104 * * [simplify]: Extracting #2: cost 44 inf + 1 236.105 * * [simplify]: Extracting #3: cost 46 inf + 63 236.105 * * [simplify]: Extracting #4: cost 48 inf + 124 236.105 * * [simplify]: Extracting #5: cost 35 inf + 2781 236.107 * * [simplify]: Extracting #6: cost 7 inf + 12110 236.112 * * [simplify]: Extracting #7: cost 0 inf + 14903 236.119 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 236.119 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.120 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 236.120 * * [simplify]: iters left: 6 (12 enodes) 236.126 * * [simplify]: iters left: 5 (40 enodes) 236.133 * * [simplify]: iters left: 4 (57 enodes) 236.142 * * [simplify]: iters left: 3 (67 enodes) 236.152 * * [simplify]: iters left: 2 (77 enodes) 236.175 * * [simplify]: iters left: 1 (100 enodes) 236.193 * * [simplify]: Extracting #0: cost 1 inf + 0 236.193 * * [simplify]: Extracting #1: cost 13 inf + 0 236.193 * * [simplify]: Extracting #2: cost 24 inf + 2 236.193 * * [simplify]: Extracting #3: cost 28 inf + 2 236.193 * * [simplify]: Extracting #4: cost 31 inf + 2 236.194 * * [simplify]: Extracting #5: cost 30 inf + 3 236.194 * * [simplify]: Extracting #6: cost 17 inf + 2460 236.195 * * [simplify]: Extracting #7: cost 3 inf + 6565 236.196 * * [simplify]: Extracting #8: cost 0 inf + 7611 236.198 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 236.198 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.198 * * * * [progress]: [ 143 / 4148 ] simplifiying candidate # 236.198 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 236.198 * * [simplify]: iters left: 6 (12 enodes) 236.202 * * [simplify]: iters left: 5 (40 enodes) 236.209 * * [simplify]: iters left: 4 (58 enodes) 236.220 * * [simplify]: iters left: 3 (63 enodes) 236.228 * * [simplify]: Extracting #0: cost 1 inf + 0 236.228 * * [simplify]: Extracting #1: cost 7 inf + 0 236.229 * * [simplify]: Extracting #2: cost 12 inf + 1 236.229 * * [simplify]: Extracting #3: cost 12 inf + 124 236.229 * * [simplify]: Extracting #4: cost 15 inf + 124 236.229 * * [simplify]: Extracting #5: cost 17 inf + 124 236.229 * * [simplify]: Extracting #6: cost 14 inf + 207 236.229 * * [simplify]: Extracting #7: cost 9 inf + 933 236.229 * * [simplify]: Extracting #8: cost 3 inf + 2582 236.230 * * [simplify]: Extracting #9: cost 0 inf + 3587 236.230 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 236.231 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.231 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 236.231 * * [simplify]: iters left: 6 (13 enodes) 236.235 * * [simplify]: iters left: 5 (45 enodes) 236.251 * * [simplify]: iters left: 4 (76 enodes) 236.278 * * [simplify]: iters left: 3 (115 enodes) 236.307 * * [simplify]: iters left: 2 (161 enodes) 236.344 * * [simplify]: iters left: 1 (218 enodes) 236.399 * * [simplify]: Extracting #0: cost 1 inf + 0 236.399 * * [simplify]: Extracting #1: cost 24 inf + 0 236.399 * * [simplify]: Extracting #2: cost 45 inf + 2 236.400 * * [simplify]: Extracting #3: cost 50 inf + 2 236.400 * * [simplify]: Extracting #4: cost 53 inf + 2 236.400 * * [simplify]: Extracting #5: cost 52 inf + 3 236.401 * * [simplify]: Extracting #6: cost 43 inf + 1414 236.403 * * [simplify]: Extracting #7: cost 16 inf + 9943 236.407 * * [simplify]: Extracting #8: cost 0 inf + 15253 236.410 * [simplify]: Simplified to (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 236.410 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.411 * * * * [progress]: [ 144 / 4148 ] simplifiying candidate # 236.411 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 236.411 * * [simplify]: iters left: 6 (14 enodes) 236.415 * * [simplify]: iters left: 5 (50 enodes) 236.423 * * [simplify]: iters left: 4 (78 enodes) 236.441 * * [simplify]: iters left: 3 (113 enodes) 236.474 * * [simplify]: iters left: 2 (123 enodes) 236.503 * * [simplify]: Extracting #0: cost 1 inf + 0 236.503 * * [simplify]: Extracting #1: cost 18 inf + 0 236.503 * * [simplify]: Extracting #2: cost 37 inf + 0 236.503 * * [simplify]: Extracting #3: cost 40 inf + 62 236.503 * * [simplify]: Extracting #4: cost 41 inf + 124 236.503 * * [simplify]: Extracting #5: cost 35 inf + 611 236.504 * * [simplify]: Extracting #6: cost 24 inf + 3505 236.505 * * [simplify]: Extracting #7: cost 4 inf + 11116 236.507 * * [simplify]: Extracting #8: cost 0 inf + 12823 236.509 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 236.509 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.509 * [simplify]: Simplifying (/ (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 236.510 * * [simplify]: iters left: 6 (11 enodes) 236.513 * * [simplify]: iters left: 5 (35 enodes) 236.519 * * [simplify]: iters left: 4 (48 enodes) 236.526 * * [simplify]: iters left: 3 (49 enodes) 236.533 * * [simplify]: Extracting #0: cost 1 inf + 0 236.533 * * [simplify]: Extracting #1: cost 5 inf + 0 236.533 * * [simplify]: Extracting #2: cost 5 inf + 2 236.533 * * [simplify]: Extracting #3: cost 8 inf + 2 236.533 * * [simplify]: Extracting #4: cost 11 inf + 2 236.533 * * [simplify]: Extracting #5: cost 13 inf + 2 236.533 * * [simplify]: Extracting #6: cost 12 inf + 3 236.533 * * [simplify]: Extracting #7: cost 8 inf + 368 236.534 * * [simplify]: Extracting #8: cost 3 inf + 1214 236.534 * * [simplify]: Extracting #9: cost 0 inf + 2019 236.535 * [simplify]: Simplified to (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 236.535 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ a1 (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.535 * * * * [progress]: [ 145 / 4148 ] simplifiying candidate # 236.536 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 236.536 * * [simplify]: iters left: 6 (16 enodes) 236.544 * * [simplify]: iters left: 5 (54 enodes) 236.564 * * [simplify]: iters left: 4 (82 enodes) 236.576 * * [simplify]: iters left: 3 (93 enodes) 236.588 * * [simplify]: iters left: 2 (96 enodes) 236.599 * * [simplify]: Extracting #0: cost 1 inf + 0 236.599 * * [simplify]: Extracting #1: cost 10 inf + 0 236.599 * * [simplify]: Extracting #2: cost 24 inf + 0 236.599 * * [simplify]: Extracting #3: cost 32 inf + 62 236.600 * * [simplify]: Extracting #4: cost 35 inf + 124 236.600 * * [simplify]: Extracting #5: cost 26 inf + 1195 236.600 * * [simplify]: Extracting #6: cost 18 inf + 2986 236.601 * * [simplify]: Extracting #7: cost 5 inf + 8025 236.602 * * [simplify]: Extracting #8: cost 1 inf + 9751 236.604 * * [simplify]: Extracting #9: cost 0 inf + 10213 236.605 * [simplify]: Simplified to (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 236.605 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.605 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 236.605 * * [simplify]: iters left: 6 (14 enodes) 236.613 * * [simplify]: iters left: 5 (46 enodes) 236.627 * * [simplify]: iters left: 4 (69 enodes) 236.647 * * [simplify]: iters left: 3 (73 enodes) 236.666 * * [simplify]: Extracting #0: cost 1 inf + 0 236.666 * * [simplify]: Extracting #1: cost 8 inf + 0 236.667 * * [simplify]: Extracting #2: cost 15 inf + 1 236.667 * * [simplify]: Extracting #3: cost 23 inf + 1 236.667 * * [simplify]: Extracting #4: cost 27 inf + 2 236.667 * * [simplify]: Extracting #5: cost 26 inf + 3 236.667 * * [simplify]: Extracting #6: cost 18 inf + 1053 236.668 * * [simplify]: Extracting #7: cost 4 inf + 4673 236.670 * * [simplify]: Extracting #8: cost 0 inf + 6119 236.673 * [simplify]: Simplified to (/ a1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (sqrt 2))))) 236.673 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ a1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (fabs (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.674 * * * * [progress]: [ 146 / 4148 ] simplifiying candidate # 236.674 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 236.674 * * [simplify]: iters left: 6 (15 enodes) 236.682 * * [simplify]: iters left: 5 (49 enodes) 236.699 * * [simplify]: iters left: 4 (73 enodes) 236.720 * * [simplify]: iters left: 3 (77 enodes) 236.739 * * [simplify]: Extracting #0: cost 1 inf + 0 236.739 * * [simplify]: Extracting #1: cost 8 inf + 0 236.739 * * [simplify]: Extracting #2: cost 19 inf + 0 236.740 * * [simplify]: Extracting #3: cost 26 inf + 1 236.740 * * [simplify]: Extracting #4: cost 28 inf + 63 236.740 * * [simplify]: Extracting #5: cost 18 inf + 1295 236.741 * * [simplify]: Extracting #6: cost 8 inf + 3309 236.742 * * [simplify]: Extracting #7: cost 1 inf + 5640 236.744 * * [simplify]: Extracting #8: cost 0 inf + 5961 236.745 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2))))) 236.745 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.746 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 236.746 * * [simplify]: iters left: 6 (14 enodes) 236.754 * * [simplify]: iters left: 5 (46 enodes) 236.769 * * [simplify]: iters left: 4 (70 enodes) 236.788 * * [simplify]: iters left: 3 (74 enodes) 236.807 * * [simplify]: Extracting #0: cost 1 inf + 0 236.808 * * [simplify]: Extracting #1: cost 8 inf + 0 236.808 * * [simplify]: Extracting #2: cost 16 inf + 1 236.808 * * [simplify]: Extracting #3: cost 24 inf + 1 236.808 * * [simplify]: Extracting #4: cost 27 inf + 2 236.808 * * [simplify]: Extracting #5: cost 26 inf + 3 236.808 * * [simplify]: Extracting #6: cost 17 inf + 1215 236.809 * * [simplify]: Extracting #7: cost 5 inf + 3991 236.811 * * [simplify]: Extracting #8: cost 1 inf + 5197 236.812 * * [simplify]: Extracting #9: cost 0 inf + 5479 236.813 * [simplify]: Simplified to (/ a1 (* (fabs (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) 236.813 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ a1 (* (fabs (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.814 * * * * [progress]: [ 147 / 4148 ] simplifiying candidate # 236.814 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 236.814 * * [simplify]: iters left: 6 (15 enodes) 236.829 * * [simplify]: iters left: 5 (53 enodes) 236.846 * * [simplify]: iters left: 4 (67 enodes) 236.863 * * [simplify]: iters left: 3 (77 enodes) 236.877 * * [simplify]: iters left: 2 (89 enodes) 236.890 * * [simplify]: iters left: 1 (117 enodes) 236.916 * * [simplify]: Extracting #0: cost 1 inf + 0 236.916 * * [simplify]: Extracting #1: cost 14 inf + 0 236.917 * * [simplify]: Extracting #2: cost 27 inf + 1 236.917 * * [simplify]: Extracting #3: cost 28 inf + 124 236.917 * * [simplify]: Extracting #4: cost 31 inf + 124 236.918 * * [simplify]: Extracting #5: cost 22 inf + 1637 236.919 * * [simplify]: Extracting #6: cost 3 inf + 6067 236.922 * * [simplify]: Extracting #7: cost 0 inf + 7053 236.924 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 236.924 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 236.925 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 236.925 * * [simplify]: iters left: 6 (13 enodes) 236.933 * * [simplify]: iters left: 5 (45 enodes) 236.950 * * [simplify]: iters left: 4 (61 enodes) 236.968 * * [simplify]: iters left: 3 (71 enodes) 236.987 * * [simplify]: iters left: 2 (82 enodes) 237.002 * * [simplify]: iters left: 1 (106 enodes) 237.018 * * [simplify]: Extracting #0: cost 1 inf + 0 237.018 * * [simplify]: Extracting #1: cost 13 inf + 0 237.018 * * [simplify]: Extracting #2: cost 25 inf + 2 237.018 * * [simplify]: Extracting #3: cost 29 inf + 2 237.018 * * [simplify]: Extracting #4: cost 32 inf + 2 237.018 * * [simplify]: Extracting #5: cost 31 inf + 3 237.019 * * [simplify]: Extracting #6: cost 14 inf + 3270 237.019 * * [simplify]: Extracting #7: cost 0 inf + 6694 237.020 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) 237.021 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.021 * * * * [progress]: [ 148 / 4148 ] simplifiying candidate # 237.021 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 237.021 * * [simplify]: iters left: 6 (14 enodes) 237.026 * * [simplify]: iters left: 5 (48 enodes) 237.042 * * [simplify]: iters left: 4 (64 enodes) 237.060 * * [simplify]: iters left: 3 (74 enodes) 237.083 * * [simplify]: iters left: 2 (86 enodes) 237.107 * * [simplify]: iters left: 1 (114 enodes) 237.133 * * [simplify]: Extracting #0: cost 1 inf + 0 237.133 * * [simplify]: Extracting #1: cost 14 inf + 0 237.133 * * [simplify]: Extracting #2: cost 27 inf + 1 237.134 * * [simplify]: Extracting #3: cost 29 inf + 63 237.134 * * [simplify]: Extracting #4: cost 31 inf + 124 237.134 * * [simplify]: Extracting #5: cost 19 inf + 1999 237.135 * * [simplify]: Extracting #6: cost 2 inf + 6409 237.136 * * [simplify]: Extracting #7: cost 0 inf + 7053 237.137 * [simplify]: Simplified to (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) 237.137 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.138 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 237.138 * * [simplify]: iters left: 6 (13 enodes) 237.142 * * [simplify]: iters left: 5 (45 enodes) 237.150 * * [simplify]: iters left: 4 (61 enodes) 237.166 * * [simplify]: iters left: 3 (71 enodes) 237.186 * * [simplify]: iters left: 2 (82 enodes) 237.210 * * [simplify]: iters left: 1 (106 enodes) 237.226 * * [simplify]: Extracting #0: cost 1 inf + 0 237.226 * * [simplify]: Extracting #1: cost 13 inf + 0 237.226 * * [simplify]: Extracting #2: cost 25 inf + 2 237.226 * * [simplify]: Extracting #3: cost 29 inf + 2 237.226 * * [simplify]: Extracting #4: cost 32 inf + 2 237.226 * * [simplify]: Extracting #5: cost 31 inf + 3 237.226 * * [simplify]: Extracting #6: cost 14 inf + 3270 237.227 * * [simplify]: Extracting #7: cost 0 inf + 6694 237.228 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) 237.228 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.229 * * * * [progress]: [ 149 / 4148 ] simplifiying candidate # 237.229 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 237.229 * * [simplify]: iters left: 6 (13 enodes) 237.232 * * [simplify]: iters left: 5 (43 enodes) 237.240 * * [simplify]: iters left: 4 (61 enodes) 237.255 * * [simplify]: iters left: 3 (71 enodes) 237.266 * * [simplify]: iters left: 2 (83 enodes) 237.278 * * [simplify]: iters left: 1 (109 enodes) 237.305 * * [simplify]: Extracting #0: cost 1 inf + 0 237.305 * * [simplify]: Extracting #1: cost 13 inf + 0 237.305 * * [simplify]: Extracting #2: cost 26 inf + 1 237.305 * * [simplify]: Extracting #3: cost 28 inf + 63 237.305 * * [simplify]: Extracting #4: cost 30 inf + 124 237.306 * * [simplify]: Extracting #5: cost 24 inf + 852 237.306 * * [simplify]: Extracting #6: cost 10 inf + 3913 237.307 * * [simplify]: Extracting #7: cost 0 inf + 6791 237.308 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 237.309 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.309 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 237.309 * * [simplify]: iters left: 6 (12 enodes) 237.312 * * [simplify]: iters left: 5 (40 enodes) 237.320 * * [simplify]: iters left: 4 (58 enodes) 237.328 * * [simplify]: iters left: 3 (68 enodes) 237.345 * * [simplify]: iters left: 2 (78 enodes) 237.368 * * [simplify]: iters left: 1 (101 enodes) 237.398 * * [simplify]: Extracting #0: cost 1 inf + 0 237.398 * * [simplify]: Extracting #1: cost 13 inf + 0 237.398 * * [simplify]: Extracting #2: cost 24 inf + 2 237.399 * * [simplify]: Extracting #3: cost 28 inf + 2 237.399 * * [simplify]: Extracting #4: cost 31 inf + 2 237.399 * * [simplify]: Extracting #5: cost 30 inf + 3 237.399 * * [simplify]: Extracting #6: cost 22 inf + 1053 237.400 * * [simplify]: Extracting #7: cost 3 inf + 5486 237.403 * * [simplify]: Extracting #8: cost 0 inf + 6411 237.405 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 237.405 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.405 * * * * [progress]: [ 150 / 4148 ] simplifiying candidate # 237.405 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) 237.406 * * [simplify]: iters left: 6 (11 enodes) 237.412 * * [simplify]: iters left: 5 (35 enodes) 237.424 * * [simplify]: iters left: 4 (49 enodes) 237.438 * * [simplify]: iters left: 3 (50 enodes) 237.451 * * [simplify]: Extracting #0: cost 1 inf + 0 237.451 * * [simplify]: Extracting #1: cost 5 inf + 0 237.451 * * [simplify]: Extracting #2: cost 9 inf + 1 237.451 * * [simplify]: Extracting #3: cost 12 inf + 2 237.451 * * [simplify]: Extracting #4: cost 14 inf + 63 237.451 * * [simplify]: Extracting #5: cost 11 inf + 166 237.452 * * [simplify]: Extracting #6: cost 2 inf + 1618 237.452 * * [simplify]: Extracting #7: cost 0 inf + 1941 237.453 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 237.453 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.453 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 237.453 * * [simplify]: iters left: 6 (13 enodes) 237.461 * * [simplify]: iters left: 5 (45 enodes) 237.477 * * [simplify]: iters left: 4 (77 enodes) 237.501 * * [simplify]: iters left: 3 (116 enodes) 237.526 * * [simplify]: iters left: 2 (162 enodes) 237.567 * * [simplify]: iters left: 1 (221 enodes) 237.622 * * [simplify]: Extracting #0: cost 1 inf + 0 237.622 * * [simplify]: Extracting #1: cost 24 inf + 0 237.622 * * [simplify]: Extracting #2: cost 45 inf + 2 237.623 * * [simplify]: Extracting #3: cost 50 inf + 2 237.623 * * [simplify]: Extracting #4: cost 53 inf + 2 237.623 * * [simplify]: Extracting #5: cost 52 inf + 3 237.623 * * [simplify]: Extracting #6: cost 40 inf + 1820 237.625 * * [simplify]: Extracting #7: cost 11 inf + 9992 237.630 * * [simplify]: Extracting #8: cost 0 inf + 13253 237.635 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 237.635 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 1) (/ (/ a1 (fabs (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.635 * * * * [progress]: [ 151 / 4148 ] simplifiying candidate # 237.636 * [simplify]: Simplifying (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 237.636 * * [simplify]: iters left: 6 (13 enodes) 237.643 * * [simplify]: iters left: 5 (45 enodes) 237.658 * * [simplify]: iters left: 4 (66 enodes) 237.677 * * [simplify]: iters left: 3 (76 enodes) 237.697 * * [simplify]: iters left: 2 (79 enodes) 237.716 * * [simplify]: Extracting #0: cost 1 inf + 0 237.717 * * [simplify]: Extracting #1: cost 10 inf + 0 237.717 * * [simplify]: Extracting #2: cost 23 inf + 0 237.717 * * [simplify]: Extracting #3: cost 29 inf + 1 237.717 * * [simplify]: Extracting #4: cost 30 inf + 63 237.717 * * [simplify]: Extracting #5: cost 23 inf + 751 237.718 * * [simplify]: Extracting #6: cost 8 inf + 4613 237.720 * * [simplify]: Extracting #7: cost 0 inf + 6925 237.721 * [simplify]: Simplified to (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 237.721 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.722 * [simplify]: Simplifying (/ (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) 237.722 * * [simplify]: iters left: 6 (11 enodes) 237.728 * * [simplify]: iters left: 5 (35 enodes) 237.742 * * [simplify]: iters left: 4 (49 enodes) 237.755 * * [simplify]: iters left: 3 (50 enodes) 237.767 * * [simplify]: Extracting #0: cost 1 inf + 0 237.767 * * [simplify]: Extracting #1: cost 5 inf + 0 237.768 * * [simplify]: Extracting #2: cost 6 inf + 2 237.768 * * [simplify]: Extracting #3: cost 10 inf + 2 237.768 * * [simplify]: Extracting #4: cost 13 inf + 2 237.768 * * [simplify]: Extracting #5: cost 12 inf + 3 237.768 * * [simplify]: Extracting #6: cost 7 inf + 529 237.768 * * [simplify]: Extracting #7: cost 0 inf + 1699 237.769 * [simplify]: Simplified to (/ a1 (fabs (cbrt (sqrt 2)))) 237.769 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ a1 (fabs (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 237.769 * * * * [progress]: [ 152 / 4148 ] simplifiying candidate # 237.770 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 237.770 * * [simplify]: iters left: 6 (16 enodes) 237.781 * * [simplify]: iters left: 5 (58 enodes) 237.799 * * [simplify]: iters left: 4 (79 enodes) 237.821 * * [simplify]: iters left: 3 (103 enodes) 237.853 * * [simplify]: iters left: 2 (151 enodes) 237.908 * * [simplify]: iters left: 1 (197 enodes) 237.991 * * [simplify]: Extracting #0: cost 1 inf + 0 237.992 * * [simplify]: Extracting #1: cost 32 inf + 0 237.992 * * [simplify]: Extracting #2: cost 55 inf + 1 237.993 * * [simplify]: Extracting #3: cost 58 inf + 63 237.993 * * [simplify]: Extracting #4: cost 54 inf + 550 237.995 * * [simplify]: Extracting #5: cost 31 inf + 8348 238.003 * * [simplify]: Extracting #6: cost 4 inf + 19402 238.010 * * [simplify]: Extracting #7: cost 0 inf + 21149 238.017 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 238.017 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.018 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 238.018 * * [simplify]: iters left: 6 (13 enodes) 238.022 * * [simplify]: iters left: 5 (45 enodes) 238.030 * * [simplify]: iters left: 4 (60 enodes) 238.038 * * [simplify]: iters left: 3 (65 enodes) 238.047 * * [simplify]: iters left: 2 (76 enodes) 238.058 * * [simplify]: iters left: 1 (89 enodes) 238.077 * * [simplify]: Extracting #0: cost 1 inf + 0 238.077 * * [simplify]: Extracting #1: cost 12 inf + 0 238.077 * * [simplify]: Extracting #2: cost 19 inf + 2 238.077 * * [simplify]: Extracting #3: cost 24 inf + 2 238.078 * * [simplify]: Extracting #4: cost 25 inf + 3 238.078 * * [simplify]: Extracting #5: cost 17 inf + 1014 238.079 * * [simplify]: Extracting #6: cost 7 inf + 3790 238.081 * * [simplify]: Extracting #7: cost 1 inf + 5959 238.082 * * [simplify]: Extracting #8: cost 0 inf + 6361 238.084 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 238.085 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.085 * * * * [progress]: [ 153 / 4148 ] simplifiying candidate # 238.085 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 238.085 * * [simplify]: iters left: 6 (15 enodes) 238.096 * * [simplify]: iters left: 5 (53 enodes) 238.112 * * [simplify]: iters left: 4 (67 enodes) 238.127 * * [simplify]: iters left: 3 (72 enodes) 238.136 * * [simplify]: iters left: 2 (83 enodes) 238.147 * * [simplify]: iters left: 1 (96 enodes) 238.160 * * [simplify]: Extracting #0: cost 1 inf + 0 238.160 * * [simplify]: Extracting #1: cost 12 inf + 0 238.160 * * [simplify]: Extracting #2: cost 25 inf + 1 238.160 * * [simplify]: Extracting #3: cost 27 inf + 124 238.160 * * [simplify]: Extracting #4: cost 20 inf + 1156 238.160 * * [simplify]: Extracting #5: cost 13 inf + 2564 238.161 * * [simplify]: Extracting #6: cost 3 inf + 5581 238.162 * * [simplify]: Extracting #7: cost 0 inf + 6527 238.163 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) 238.163 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.163 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 238.163 * * [simplify]: iters left: 6 (13 enodes) 238.167 * * [simplify]: iters left: 5 (45 enodes) 238.175 * * [simplify]: iters left: 4 (61 enodes) 238.183 * * [simplify]: iters left: 3 (66 enodes) 238.192 * * [simplify]: iters left: 2 (77 enodes) 238.209 * * [simplify]: iters left: 1 (90 enodes) 238.231 * * [simplify]: Extracting #0: cost 1 inf + 0 238.231 * * [simplify]: Extracting #1: cost 12 inf + 0 238.232 * * [simplify]: Extracting #2: cost 20 inf + 2 238.232 * * [simplify]: Extracting #3: cost 25 inf + 2 238.232 * * [simplify]: Extracting #4: cost 25 inf + 3 238.232 * * [simplify]: Extracting #5: cost 15 inf + 1418 238.233 * * [simplify]: Extracting #6: cost 5 inf + 4034 238.235 * * [simplify]: Extracting #7: cost 0 inf + 5481 238.237 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) 238.237 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.237 * * * * [progress]: [ 154 / 4148 ] simplifiying candidate # 238.237 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 238.237 * * [simplify]: iters left: 6 (13 enodes) 238.249 * * [simplify]: iters left: 5 (51 enodes) 238.265 * * [simplify]: iters left: 4 (58 enodes) 238.279 * * [simplify]: iters left: 3 (65 enodes) 238.295 * * [simplify]: iters left: 2 (74 enodes) 238.306 * * [simplify]: iters left: 1 (103 enodes) 238.323 * * [simplify]: Extracting #0: cost 1 inf + 0 238.323 * * [simplify]: Extracting #1: cost 14 inf + 0 238.323 * * [simplify]: Extracting #2: cost 26 inf + 1 238.323 * * [simplify]: Extracting #3: cost 25 inf + 124 238.323 * * [simplify]: Extracting #4: cost 21 inf + 328 238.324 * * [simplify]: Extracting #5: cost 13 inf + 2141 238.326 * * [simplify]: Extracting #6: cost 2 inf + 5022 238.327 * * [simplify]: Extracting #7: cost 0 inf + 5605 238.328 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 238.328 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.328 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 238.329 * * [simplify]: iters left: 6 (11 enodes) 238.332 * * [simplify]: iters left: 5 (41 enodes) 238.339 * * [simplify]: iters left: 4 (48 enodes) 238.346 * * [simplify]: iters left: 3 (60 enodes) 238.354 * * [simplify]: iters left: 2 (69 enodes) 238.366 * * [simplify]: iters left: 1 (93 enodes) 238.393 * * [simplify]: Extracting #0: cost 1 inf + 0 238.393 * * [simplify]: Extracting #1: cost 13 inf + 0 238.393 * * [simplify]: Extracting #2: cost 25 inf + 2 238.394 * * [simplify]: Extracting #3: cost 27 inf + 2 238.394 * * [simplify]: Extracting #4: cost 26 inf + 3 238.394 * * [simplify]: Extracting #5: cost 15 inf + 1621 238.396 * * [simplify]: Extracting #6: cost 1 inf + 5168 238.398 * * [simplify]: Extracting #7: cost 0 inf + 5409 238.399 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 238.399 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.399 * * * * [progress]: [ 155 / 4148 ] simplifiying candidate # 238.400 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 238.400 * * [simplify]: iters left: 6 (14 enodes) 238.411 * * [simplify]: iters left: 5 (52 enodes) 238.428 * * [simplify]: iters left: 4 (59 enodes) 238.445 * * [simplify]: iters left: 3 (66 enodes) 238.461 * * [simplify]: iters left: 2 (75 enodes) 238.483 * * [simplify]: iters left: 1 (104 enodes) 238.515 * * [simplify]: Extracting #0: cost 1 inf + 0 238.516 * * [simplify]: Extracting #1: cost 14 inf + 0 238.516 * * [simplify]: Extracting #2: cost 26 inf + 1 238.516 * * [simplify]: Extracting #3: cost 26 inf + 63 238.516 * * [simplify]: Extracting #4: cost 18 inf + 1173 238.517 * * [simplify]: Extracting #5: cost 2 inf + 5161 238.518 * * [simplify]: Extracting #6: cost 0 inf + 5605 238.519 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 238.519 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.519 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 238.519 * * [simplify]: iters left: 6 (12 enodes) 238.524 * * [simplify]: iters left: 5 (44 enodes) 238.531 * * [simplify]: iters left: 4 (51 enodes) 238.539 * * [simplify]: iters left: 3 (63 enodes) 238.547 * * [simplify]: iters left: 2 (72 enodes) 238.559 * * [simplify]: iters left: 1 (96 enodes) 238.574 * * [simplify]: Extracting #0: cost 1 inf + 0 238.574 * * [simplify]: Extracting #1: cost 13 inf + 0 238.575 * * [simplify]: Extracting #2: cost 25 inf + 2 238.575 * * [simplify]: Extracting #3: cost 27 inf + 2 238.575 * * [simplify]: Extracting #4: cost 26 inf + 3 238.576 * * [simplify]: Extracting #5: cost 5 inf + 4158 238.577 * * [simplify]: Extracting #6: cost 0 inf + 5409 238.579 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 238.579 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.579 * * * * [progress]: [ 156 / 4148 ] simplifiying candidate # 238.580 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 238.580 * * [simplify]: iters left: 6 (13 enodes) 238.591 * * [simplify]: iters left: 5 (47 enodes) 238.606 * * [simplify]: iters left: 4 (54 enodes) 238.619 * * [simplify]: iters left: 3 (61 enodes) 238.635 * * [simplify]: iters left: 2 (70 enodes) 238.656 * * [simplify]: iters left: 1 (99 enodes) 238.691 * * [simplify]: Extracting #0: cost 1 inf + 0 238.691 * * [simplify]: Extracting #1: cost 14 inf + 0 238.691 * * [simplify]: Extracting #2: cost 26 inf + 1 238.691 * * [simplify]: Extracting #3: cost 26 inf + 63 238.691 * * [simplify]: Extracting #4: cost 21 inf + 328 238.691 * * [simplify]: Extracting #5: cost 7 inf + 3612 238.692 * * [simplify]: Extracting #6: cost 0 inf + 5605 238.693 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 238.693 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.694 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 238.694 * * [simplify]: iters left: 6 (11 enodes) 238.697 * * [simplify]: iters left: 5 (39 enodes) 238.704 * * [simplify]: iters left: 4 (46 enodes) 238.711 * * [simplify]: iters left: 3 (57 enodes) 238.719 * * [simplify]: iters left: 2 (66 enodes) 238.728 * * [simplify]: iters left: 1 (90 enodes) 238.743 * * [simplify]: Extracting #0: cost 1 inf + 0 238.743 * * [simplify]: Extracting #1: cost 13 inf + 0 238.743 * * [simplify]: Extracting #2: cost 25 inf + 2 238.743 * * [simplify]: Extracting #3: cost 27 inf + 2 238.743 * * [simplify]: Extracting #4: cost 26 inf + 3 238.744 * * [simplify]: Extracting #5: cost 9 inf + 3230 238.746 * * [simplify]: Extracting #6: cost 0 inf + 5409 238.747 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 238.748 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.748 * * * * [progress]: [ 157 / 4148 ] simplifiying candidate # 238.748 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) 1) 238.748 * * [simplify]: iters left: 6 (11 enodes) 238.757 * * [simplify]: iters left: 5 (39 enodes) 238.769 * * [simplify]: iters left: 4 (44 enodes) 238.782 * * [simplify]: iters left: 3 (50 enodes) 238.798 * * [simplify]: iters left: 2 (58 enodes) 238.814 * * [simplify]: iters left: 1 (65 enodes) 238.833 * * [simplify]: Extracting #0: cost 1 inf + 0 238.833 * * [simplify]: Extracting #1: cost 8 inf + 0 238.833 * * [simplify]: Extracting #2: cost 14 inf + 1 238.833 * * [simplify]: Extracting #3: cost 15 inf + 2 238.833 * * [simplify]: Extracting #4: cost 12 inf + 105 238.834 * * [simplify]: Extracting #5: cost 1 inf + 1703 238.835 * * [simplify]: Extracting #6: cost 0 inf + 1865 238.836 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 238.836 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.836 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 238.836 * * [simplify]: iters left: 6 (12 enodes) 238.844 * * [simplify]: iters left: 5 (44 enodes) 238.860 * * [simplify]: iters left: 4 (71 enodes) 238.883 * * [simplify]: iters left: 3 (122 enodes) 238.915 * * [simplify]: iters left: 2 (163 enodes) 238.942 * * [simplify]: iters left: 1 (213 enodes) 238.980 * * [simplify]: Extracting #0: cost 1 inf + 0 238.980 * * [simplify]: Extracting #1: cost 21 inf + 0 238.980 * * [simplify]: Extracting #2: cost 40 inf + 2 238.980 * * [simplify]: Extracting #3: cost 42 inf + 2 238.982 * * [simplify]: Extracting #4: cost 41 inf + 3 238.982 * * [simplify]: Extracting #5: cost 31 inf + 1377 238.983 * * [simplify]: Extracting #6: cost 5 inf + 8345 238.985 * * [simplify]: Extracting #7: cost 0 inf + 9835 238.987 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 238.987 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 238.987 * * * * [progress]: [ 158 / 4148 ] simplifiying candidate # 238.988 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 238.988 * * [simplify]: iters left: 6 (13 enodes) 238.994 * * [simplify]: iters left: 5 (49 enodes) 239.001 * * [simplify]: iters left: 4 (64 enodes) 239.011 * * [simplify]: iters left: 3 (89 enodes) 239.026 * * [simplify]: iters left: 2 (137 enodes) 239.060 * * [simplify]: iters left: 1 (183 enodes) 239.129 * * [simplify]: Extracting #0: cost 1 inf + 0 239.129 * * [simplify]: Extracting #1: cost 31 inf + 0 239.129 * * [simplify]: Extracting #2: cost 53 inf + 1 239.130 * * [simplify]: Extracting #3: cost 52 inf + 124 239.130 * * [simplify]: Extracting #4: cost 46 inf + 772 239.131 * * [simplify]: Extracting #5: cost 24 inf + 6729 239.133 * * [simplify]: Extracting #6: cost 0 inf + 14559 239.135 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 239.135 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.136 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))) (/ 1 1)) 239.136 * * [simplify]: iters left: 6 (10 enodes) 239.140 * * [simplify]: iters left: 5 (34 enodes) 239.145 * * [simplify]: iters left: 4 (39 enodes) 239.157 * * [simplify]: iters left: 3 (48 enodes) 239.170 * * [simplify]: iters left: 2 (55 enodes) 239.186 * * [simplify]: iters left: 1 (60 enodes) 239.200 * * [simplify]: Extracting #0: cost 1 inf + 0 239.200 * * [simplify]: Extracting #1: cost 7 inf + 0 239.200 * * [simplify]: Extracting #2: cost 10 inf + 2 239.200 * * [simplify]: Extracting #3: cost 11 inf + 44 239.200 * * [simplify]: Extracting #4: cost 10 inf + 45 239.201 * * [simplify]: Extracting #5: cost 2 inf + 1058 239.201 * * [simplify]: Extracting #6: cost 0 inf + 1423 239.202 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 239.202 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.203 * * * * [progress]: [ 159 / 4148 ] simplifiying candidate # 239.203 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 239.203 * * [simplify]: iters left: 6 (15 enodes) 239.212 * * [simplify]: iters left: 5 (53 enodes) 239.229 * * [simplify]: iters left: 4 (76 enodes) 239.249 * * [simplify]: iters left: 3 (102 enodes) 239.265 * * [simplify]: iters left: 2 (150 enodes) 239.311 * * [simplify]: iters left: 1 (195 enodes) 239.387 * * [simplify]: Extracting #0: cost 1 inf + 0 239.387 * * [simplify]: Extracting #1: cost 32 inf + 0 239.388 * * [simplify]: Extracting #2: cost 55 inf + 1 239.388 * * [simplify]: Extracting #3: cost 58 inf + 63 239.388 * * [simplify]: Extracting #4: cost 49 inf + 1538 239.389 * * [simplify]: Extracting #5: cost 25 inf + 10121 239.393 * * [simplify]: Extracting #6: cost 1 inf + 20827 239.397 * * [simplify]: Extracting #7: cost 0 inf + 21229 239.402 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 239.402 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.403 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 239.403 * * [simplify]: iters left: 6 (13 enodes) 239.407 * * [simplify]: iters left: 5 (45 enodes) 239.419 * * [simplify]: iters left: 4 (60 enodes) 239.431 * * [simplify]: iters left: 3 (65 enodes) 239.440 * * [simplify]: iters left: 2 (76 enodes) 239.450 * * [simplify]: iters left: 1 (89 enodes) 239.470 * * [simplify]: Extracting #0: cost 1 inf + 0 239.471 * * [simplify]: Extracting #1: cost 12 inf + 0 239.471 * * [simplify]: Extracting #2: cost 19 inf + 2 239.471 * * [simplify]: Extracting #3: cost 24 inf + 2 239.471 * * [simplify]: Extracting #4: cost 25 inf + 3 239.471 * * [simplify]: Extracting #5: cost 17 inf + 1014 239.472 * * [simplify]: Extracting #6: cost 7 inf + 3790 239.474 * * [simplify]: Extracting #7: cost 1 inf + 5959 239.476 * * [simplify]: Extracting #8: cost 0 inf + 6361 239.478 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 239.478 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.478 * * * * [progress]: [ 160 / 4148 ] simplifiying candidate # 239.479 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 239.479 * * [simplify]: iters left: 6 (14 enodes) 239.485 * * [simplify]: iters left: 5 (48 enodes) 239.493 * * [simplify]: iters left: 4 (64 enodes) 239.502 * * [simplify]: iters left: 3 (69 enodes) 239.513 * * [simplify]: iters left: 2 (80 enodes) 239.535 * * [simplify]: iters left: 1 (93 enodes) 239.560 * * [simplify]: Extracting #0: cost 1 inf + 0 239.560 * * [simplify]: Extracting #1: cost 12 inf + 0 239.560 * * [simplify]: Extracting #2: cost 25 inf + 1 239.560 * * [simplify]: Extracting #3: cost 27 inf + 124 239.561 * * [simplify]: Extracting #4: cost 18 inf + 1478 239.562 * * [simplify]: Extracting #5: cost 10 inf + 3469 239.563 * * [simplify]: Extracting #6: cost 2 inf + 5923 239.565 * * [simplify]: Extracting #7: cost 0 inf + 6527 239.567 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) 239.567 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.568 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 239.568 * * [simplify]: iters left: 6 (13 enodes) 239.573 * * [simplify]: iters left: 5 (45 enodes) 239.580 * * [simplify]: iters left: 4 (61 enodes) 239.589 * * [simplify]: iters left: 3 (66 enodes) 239.597 * * [simplify]: iters left: 2 (77 enodes) 239.615 * * [simplify]: iters left: 1 (90 enodes) 239.635 * * [simplify]: Extracting #0: cost 1 inf + 0 239.635 * * [simplify]: Extracting #1: cost 12 inf + 0 239.636 * * [simplify]: Extracting #2: cost 20 inf + 2 239.636 * * [simplify]: Extracting #3: cost 25 inf + 2 239.636 * * [simplify]: Extracting #4: cost 25 inf + 3 239.636 * * [simplify]: Extracting #5: cost 15 inf + 1418 239.636 * * [simplify]: Extracting #6: cost 5 inf + 4034 239.637 * * [simplify]: Extracting #7: cost 0 inf + 5481 239.638 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) 239.638 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ a1 (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.638 * * * * [progress]: [ 161 / 4148 ] simplifiying candidate # 239.639 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 239.639 * * [simplify]: iters left: 6 (14 enodes) 239.645 * * [simplify]: iters left: 5 (52 enodes) 239.654 * * [simplify]: iters left: 4 (59 enodes) 239.662 * * [simplify]: iters left: 3 (66 enodes) 239.679 * * [simplify]: iters left: 2 (75 enodes) 239.693 * * [simplify]: iters left: 1 (104 enodes) 239.711 * * [simplify]: Extracting #0: cost 1 inf + 0 239.711 * * [simplify]: Extracting #1: cost 14 inf + 0 239.711 * * [simplify]: Extracting #2: cost 26 inf + 1 239.711 * * [simplify]: Extracting #3: cost 26 inf + 63 239.711 * * [simplify]: Extracting #4: cost 14 inf + 1960 239.712 * * [simplify]: Extracting #5: cost 0 inf + 5605 239.715 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 239.715 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.716 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 239.716 * * [simplify]: iters left: 6 (12 enodes) 239.724 * * [simplify]: iters left: 5 (44 enodes) 239.738 * * [simplify]: iters left: 4 (51 enodes) 239.752 * * [simplify]: iters left: 3 (63 enodes) 239.765 * * [simplify]: iters left: 2 (72 enodes) 239.776 * * [simplify]: iters left: 1 (96 enodes) 239.789 * * [simplify]: Extracting #0: cost 1 inf + 0 239.789 * * [simplify]: Extracting #1: cost 13 inf + 0 239.789 * * [simplify]: Extracting #2: cost 25 inf + 2 239.789 * * [simplify]: Extracting #3: cost 27 inf + 2 239.789 * * [simplify]: Extracting #4: cost 26 inf + 3 239.790 * * [simplify]: Extracting #5: cost 5 inf + 4158 239.792 * * [simplify]: Extracting #6: cost 0 inf + 5409 239.794 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 239.794 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.794 * * * * [progress]: [ 162 / 4148 ] simplifiying candidate # 239.795 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 239.795 * * [simplify]: iters left: 6 (12 enodes) 239.803 * * [simplify]: iters left: 5 (44 enodes) 239.817 * * [simplify]: iters left: 4 (51 enodes) 239.825 * * [simplify]: iters left: 3 (63 enodes) 239.835 * * [simplify]: iters left: 2 (73 enodes) 239.846 * * [simplify]: iters left: 1 (101 enodes) 239.877 * * [simplify]: Extracting #0: cost 1 inf + 0 239.877 * * [simplify]: Extracting #1: cost 14 inf + 0 239.877 * * [simplify]: Extracting #2: cost 26 inf + 1 239.878 * * [simplify]: Extracting #3: cost 25 inf + 124 239.878 * * [simplify]: Extracting #4: cost 19 inf + 611 239.878 * * [simplify]: Extracting #5: cost 4 inf + 4277 239.879 * * [simplify]: Extracting #6: cost 0 inf + 5605 239.880 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))) 239.880 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.881 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 239.881 * * [simplify]: iters left: 6 (11 enodes) 239.884 * * [simplify]: iters left: 5 (41 enodes) 239.891 * * [simplify]: iters left: 4 (48 enodes) 239.898 * * [simplify]: iters left: 3 (60 enodes) 239.906 * * [simplify]: iters left: 2 (69 enodes) 239.924 * * [simplify]: iters left: 1 (93 enodes) 239.939 * * [simplify]: Extracting #0: cost 1 inf + 0 239.939 * * [simplify]: Extracting #1: cost 13 inf + 0 239.940 * * [simplify]: Extracting #2: cost 25 inf + 2 239.940 * * [simplify]: Extracting #3: cost 27 inf + 2 239.940 * * [simplify]: Extracting #4: cost 26 inf + 3 239.940 * * [simplify]: Extracting #5: cost 15 inf + 1621 239.941 * * [simplify]: Extracting #6: cost 1 inf + 5168 239.942 * * [simplify]: Extracting #7: cost 0 inf + 5409 239.943 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 239.943 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 239.943 * * * * [progress]: [ 163 / 4148 ] simplifiying candidate # 239.943 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 239.943 * * [simplify]: iters left: 6 (12 enodes) 239.947 * * [simplify]: iters left: 5 (42 enodes) 239.958 * * [simplify]: iters left: 4 (49 enodes) 239.972 * * [simplify]: iters left: 3 (60 enodes) 239.989 * * [simplify]: iters left: 2 (70 enodes) 240.008 * * [simplify]: iters left: 1 (98 enodes) 240.025 * * [simplify]: Extracting #0: cost 1 inf + 0 240.025 * * [simplify]: Extracting #1: cost 14 inf + 0 240.025 * * [simplify]: Extracting #2: cost 26 inf + 1 240.025 * * [simplify]: Extracting #3: cost 25 inf + 124 240.026 * * [simplify]: Extracting #4: cost 17 inf + 1055 240.026 * * [simplify]: Extracting #5: cost 5 inf + 4136 240.027 * * [simplify]: Extracting #6: cost 0 inf + 5605 240.028 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 240.028 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.030 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) 240.030 * * [simplify]: iters left: 6 (11 enodes) 240.034 * * [simplify]: iters left: 5 (39 enodes) 240.047 * * [simplify]: iters left: 4 (46 enodes) 240.060 * * [simplify]: iters left: 3 (57 enodes) 240.075 * * [simplify]: iters left: 2 (66 enodes) 240.094 * * [simplify]: iters left: 1 (90 enodes) 240.122 * * [simplify]: Extracting #0: cost 1 inf + 0 240.122 * * [simplify]: Extracting #1: cost 13 inf + 0 240.122 * * [simplify]: Extracting #2: cost 25 inf + 2 240.123 * * [simplify]: Extracting #3: cost 27 inf + 2 240.123 * * [simplify]: Extracting #4: cost 26 inf + 3 240.124 * * [simplify]: Extracting #5: cost 9 inf + 3230 240.125 * * [simplify]: Extracting #6: cost 0 inf + 5409 240.127 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 240.127 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.127 * * * * [progress]: [ 164 / 4148 ] simplifiying candidate # 240.128 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) 1) 240.128 * * [simplify]: iters left: 6 (10 enodes) 240.135 * * [simplify]: iters left: 5 (34 enodes) 240.146 * * [simplify]: iters left: 4 (39 enodes) 240.158 * * [simplify]: iters left: 3 (50 enodes) 240.172 * * [simplify]: iters left: 2 (58 enodes) 240.190 * * [simplify]: iters left: 1 (65 enodes) 240.209 * * [simplify]: Extracting #0: cost 1 inf + 0 240.209 * * [simplify]: Extracting #1: cost 8 inf + 0 240.209 * * [simplify]: Extracting #2: cost 14 inf + 1 240.209 * * [simplify]: Extracting #3: cost 15 inf + 2 240.209 * * [simplify]: Extracting #4: cost 6 inf + 994 240.210 * * [simplify]: Extracting #5: cost 1 inf + 1643 240.211 * * [simplify]: Extracting #6: cost 0 inf + 1865 240.212 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 240.212 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.213 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 240.213 * * [simplify]: iters left: 6 (12 enodes) 240.221 * * [simplify]: iters left: 5 (44 enodes) 240.236 * * [simplify]: iters left: 4 (71 enodes) 240.258 * * [simplify]: iters left: 3 (122 enodes) 240.299 * * [simplify]: iters left: 2 (163 enodes) 240.352 * * [simplify]: iters left: 1 (213 enodes) 240.398 * * [simplify]: Extracting #0: cost 1 inf + 0 240.398 * * [simplify]: Extracting #1: cost 21 inf + 0 240.399 * * [simplify]: Extracting #2: cost 40 inf + 2 240.399 * * [simplify]: Extracting #3: cost 42 inf + 2 240.399 * * [simplify]: Extracting #4: cost 41 inf + 3 240.400 * * [simplify]: Extracting #5: cost 31 inf + 1377 240.402 * * [simplify]: Extracting #6: cost 5 inf + 8345 240.406 * * [simplify]: Extracting #7: cost 0 inf + 9835 240.410 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 240.410 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.410 * * * * [progress]: [ 165 / 4148 ] simplifiying candidate # 240.411 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 240.411 * * [simplify]: iters left: 6 (12 enodes) 240.421 * * [simplify]: iters left: 5 (44 enodes) 240.436 * * [simplify]: iters left: 4 (59 enodes) 240.454 * * [simplify]: iters left: 3 (87 enodes) 240.477 * * [simplify]: iters left: 2 (137 enodes) 240.502 * * [simplify]: iters left: 1 (182 enodes) 240.571 * * [simplify]: Extracting #0: cost 1 inf + 0 240.571 * * [simplify]: Extracting #1: cost 31 inf + 0 240.571 * * [simplify]: Extracting #2: cost 55 inf + 1 240.572 * * [simplify]: Extracting #3: cost 56 inf + 63 240.572 * * [simplify]: Extracting #4: cost 47 inf + 1214 240.573 * * [simplify]: Extracting #5: cost 12 inf + 11498 240.576 * * [simplify]: Extracting #6: cost 0 inf + 15665 240.579 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 240.579 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.579 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))) (/ 1 1)) 240.579 * * [simplify]: iters left: 6 (10 enodes) 240.583 * * [simplify]: iters left: 5 (34 enodes) 240.589 * * [simplify]: iters left: 4 (39 enodes) 240.596 * * [simplify]: iters left: 3 (48 enodes) 240.607 * * [simplify]: iters left: 2 (55 enodes) 240.621 * * [simplify]: iters left: 1 (60 enodes) 240.638 * * [simplify]: Extracting #0: cost 1 inf + 0 240.638 * * [simplify]: Extracting #1: cost 7 inf + 0 240.639 * * [simplify]: Extracting #2: cost 10 inf + 2 240.639 * * [simplify]: Extracting #3: cost 11 inf + 44 240.639 * * [simplify]: Extracting #4: cost 10 inf + 45 240.639 * * [simplify]: Extracting #5: cost 2 inf + 1058 240.640 * * [simplify]: Extracting #6: cost 0 inf + 1423 240.640 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 240.640 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.641 * * * * [progress]: [ 166 / 4148 ] simplifiying candidate # 240.641 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 240.641 * * [simplify]: iters left: 6 (14 enodes) 240.649 * * [simplify]: iters left: 5 (48 enodes) 240.658 * * [simplify]: iters left: 4 (77 enodes) 240.670 * * [simplify]: iters left: 3 (102 enodes) 240.687 * * [simplify]: iters left: 2 (157 enodes) 240.731 * * [simplify]: iters left: 1 (292 enodes) 240.850 * * [simplify]: Extracting #0: cost 1 inf + 0 240.850 * * [simplify]: Extracting #1: cost 26 inf + 0 240.850 * * [simplify]: Extracting #2: cost 48 inf + 1 240.851 * * [simplify]: Extracting #3: cost 51 inf + 63 240.851 * * [simplify]: Extracting #4: cost 45 inf + 913 240.853 * * [simplify]: Extracting #5: cost 14 inf + 12185 240.857 * * [simplify]: Extracting #6: cost 0 inf + 17672 240.861 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 240.861 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.862 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 240.862 * * [simplify]: iters left: 6 (12 enodes) 240.867 * * [simplify]: iters left: 5 (40 enodes) 240.874 * * [simplify]: iters left: 4 (59 enodes) 240.883 * * [simplify]: iters left: 3 (64 enodes) 240.892 * * [simplify]: iters left: 2 (71 enodes) 240.904 * * [simplify]: iters left: 1 (85 enodes) 240.927 * * [simplify]: Extracting #0: cost 1 inf + 0 240.928 * * [simplify]: Extracting #1: cost 15 inf + 0 240.928 * * [simplify]: Extracting #2: cost 22 inf + 2 240.928 * * [simplify]: Extracting #3: cost 27 inf + 2 240.928 * * [simplify]: Extracting #4: cost 28 inf + 3 240.928 * * [simplify]: Extracting #5: cost 25 inf + 206 240.929 * * [simplify]: Extracting #6: cost 16 inf + 1901 240.930 * * [simplify]: Extracting #7: cost 6 inf + 5076 240.932 * * [simplify]: Extracting #8: cost 0 inf + 7369 240.934 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 240.935 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ a1 (* (cbrt (sqrt 2)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 240.935 * * * * [progress]: [ 167 / 4148 ] simplifiying candidate # 240.935 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 240.935 * * [simplify]: iters left: 6 (13 enodes) 240.942 * * [simplify]: iters left: 5 (43 enodes) 240.956 * * [simplify]: iters left: 4 (63 enodes) 240.973 * * [simplify]: iters left: 3 (69 enodes) 240.985 * * [simplify]: iters left: 2 (84 enodes) 240.998 * * [simplify]: iters left: 1 (131 enodes) 241.029 * * [simplify]: Extracting #0: cost 1 inf + 0 241.029 * * [simplify]: Extracting #1: cost 17 inf + 0 241.030 * * [simplify]: Extracting #2: cost 32 inf + 1 241.030 * * [simplify]: Extracting #3: cost 35 inf + 63 241.030 * * [simplify]: Extracting #4: cost 33 inf + 166 241.031 * * [simplify]: Extracting #5: cost 23 inf + 1942 241.033 * * [simplify]: Extracting #6: cost 7 inf + 6630 241.036 * * [simplify]: Extracting #7: cost 0 inf + 8802 241.039 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) 241.039 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.039 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 241.039 * * [simplify]: iters left: 6 (12 enodes) 241.044 * * [simplify]: iters left: 5 (40 enodes) 241.051 * * [simplify]: iters left: 4 (60 enodes) 241.060 * * [simplify]: iters left: 3 (65 enodes) 241.070 * * [simplify]: iters left: 2 (72 enodes) 241.084 * * [simplify]: iters left: 1 (86 enodes) 241.108 * * [simplify]: Extracting #0: cost 1 inf + 0 241.108 * * [simplify]: Extracting #1: cost 15 inf + 0 241.108 * * [simplify]: Extracting #2: cost 23 inf + 2 241.108 * * [simplify]: Extracting #3: cost 28 inf + 2 241.108 * * [simplify]: Extracting #4: cost 28 inf + 3 241.109 * * [simplify]: Extracting #5: cost 25 inf + 206 241.109 * * [simplify]: Extracting #6: cost 16 inf + 1900 241.110 * * [simplify]: Extracting #7: cost 5 inf + 4879 241.112 * * [simplify]: Extracting #8: cost 0 inf + 6329 241.114 * [simplify]: Simplified to (/ a1 (* (cbrt (sqrt 2)) (fabs (cbrt (cbrt (sqrt 2)))))) 241.114 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ a1 (* (cbrt (sqrt 2)) (fabs (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.114 * * * * [progress]: [ 168 / 4148 ] simplifiying candidate # 241.115 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 241.115 * * [simplify]: iters left: 6 (13 enodes) 241.122 * * [simplify]: iters left: 5 (47 enodes) 241.138 * * [simplify]: iters left: 4 (63 enodes) 241.147 * * [simplify]: iters left: 3 (71 enodes) 241.155 * * [simplify]: iters left: 2 (85 enodes) 241.174 * * [simplify]: iters left: 1 (129 enodes) 241.222 * * [simplify]: Extracting #0: cost 1 inf + 0 241.222 * * [simplify]: Extracting #1: cost 20 inf + 0 241.222 * * [simplify]: Extracting #2: cost 32 inf + 1 241.222 * * [simplify]: Extracting #3: cost 31 inf + 124 241.223 * * [simplify]: Extracting #4: cost 28 inf + 207 241.223 * * [simplify]: Extracting #5: cost 17 inf + 2485 241.224 * * [simplify]: Extracting #6: cost 5 inf + 5928 241.225 * * [simplify]: Extracting #7: cost 0 inf + 7539 241.226 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 241.226 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.227 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 241.227 * * [simplify]: iters left: 6 (11 enodes) 241.230 * * [simplify]: iters left: 5 (39 enodes) 241.238 * * [simplify]: iters left: 4 (49 enodes) 241.245 * * [simplify]: iters left: 3 (58 enodes) 241.252 * * [simplify]: iters left: 2 (65 enodes) 241.263 * * [simplify]: iters left: 1 (81 enodes) 241.285 * * [simplify]: Extracting #0: cost 1 inf + 0 241.285 * * [simplify]: Extracting #1: cost 15 inf + 0 241.285 * * [simplify]: Extracting #2: cost 25 inf + 2 241.285 * * [simplify]: Extracting #3: cost 27 inf + 2 241.286 * * [simplify]: Extracting #4: cost 26 inf + 3 241.286 * * [simplify]: Extracting #5: cost 21 inf + 649 241.289 * * [simplify]: Extracting #6: cost 4 inf + 4321 241.291 * * [simplify]: Extracting #7: cost 1 inf + 5127 241.292 * * [simplify]: Extracting #8: cost 0 inf + 5409 241.294 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 241.294 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.294 * * * * [progress]: [ 169 / 4148 ] simplifiying candidate # 241.295 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 241.295 * * [simplify]: iters left: 6 (12 enodes) 241.302 * * [simplify]: iters left: 5 (42 enodes) 241.315 * * [simplify]: iters left: 4 (52 enodes) 241.329 * * [simplify]: iters left: 3 (62 enodes) 241.346 * * [simplify]: iters left: 2 (77 enodes) 241.372 * * [simplify]: iters left: 1 (121 enodes) 241.416 * * [simplify]: Extracting #0: cost 1 inf + 0 241.416 * * [simplify]: Extracting #1: cost 16 inf + 0 241.416 * * [simplify]: Extracting #2: cost 29 inf + 1 241.417 * * [simplify]: Extracting #3: cost 28 inf + 124 241.417 * * [simplify]: Extracting #4: cost 25 inf + 207 241.418 * * [simplify]: Extracting #5: cost 8 inf + 4236 241.419 * * [simplify]: Extracting #6: cost 0 inf + 6491 241.420 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 241.420 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.420 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 241.420 * * [simplify]: iters left: 6 (11 enodes) 241.426 * * [simplify]: iters left: 5 (39 enodes) 241.433 * * [simplify]: iters left: 4 (49 enodes) 241.440 * * [simplify]: iters left: 3 (58 enodes) 241.447 * * [simplify]: iters left: 2 (65 enodes) 241.463 * * [simplify]: iters left: 1 (81 enodes) 241.486 * * [simplify]: Extracting #0: cost 1 inf + 0 241.486 * * [simplify]: Extracting #1: cost 15 inf + 0 241.486 * * [simplify]: Extracting #2: cost 25 inf + 2 241.486 * * [simplify]: Extracting #3: cost 27 inf + 2 241.486 * * [simplify]: Extracting #4: cost 26 inf + 3 241.487 * * [simplify]: Extracting #5: cost 21 inf + 649 241.488 * * [simplify]: Extracting #6: cost 4 inf + 4321 241.489 * * [simplify]: Extracting #7: cost 1 inf + 5127 241.491 * * [simplify]: Extracting #8: cost 0 inf + 5409 241.492 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 241.493 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.493 * * * * [progress]: [ 170 / 4148 ] simplifiying candidate # 241.493 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 241.494 * * [simplify]: iters left: 6 (11 enodes) 241.499 * * [simplify]: iters left: 5 (37 enodes) 241.512 * * [simplify]: iters left: 4 (48 enodes) 241.525 * * [simplify]: iters left: 3 (57 enodes) 241.540 * * [simplify]: iters left: 2 (72 enodes) 241.568 * * [simplify]: iters left: 1 (118 enodes) 241.597 * * [simplify]: Extracting #0: cost 1 inf + 0 241.597 * * [simplify]: Extracting #1: cost 16 inf + 0 241.597 * * [simplify]: Extracting #2: cost 29 inf + 1 241.597 * * [simplify]: Extracting #3: cost 29 inf + 63 241.597 * * [simplify]: Extracting #4: cost 26 inf + 166 241.598 * * [simplify]: Extracting #5: cost 17 inf + 1700 241.598 * * [simplify]: Extracting #6: cost 2 inf + 5908 241.600 * * [simplify]: Extracting #7: cost 0 inf + 6491 241.601 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 241.601 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.601 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 241.601 * * [simplify]: iters left: 6 (10 enodes) 241.604 * * [simplify]: iters left: 5 (34 enodes) 241.610 * * [simplify]: iters left: 4 (45 enodes) 241.617 * * [simplify]: iters left: 3 (53 enodes) 241.624 * * [simplify]: iters left: 2 (60 enodes) 241.636 * * [simplify]: iters left: 1 (76 enodes) 241.650 * * [simplify]: Extracting #0: cost 1 inf + 0 241.650 * * [simplify]: Extracting #1: cost 15 inf + 0 241.650 * * [simplify]: Extracting #2: cost 25 inf + 2 241.650 * * [simplify]: Extracting #3: cost 27 inf + 2 241.650 * * [simplify]: Extracting #4: cost 26 inf + 3 241.650 * * [simplify]: Extracting #5: cost 23 inf + 206 241.650 * * [simplify]: Extracting #6: cost 14 inf + 1780 241.651 * * [simplify]: Extracting #7: cost 0 inf + 5409 241.652 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 241.652 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.652 * * * * [progress]: [ 171 / 4148 ] simplifiying candidate # 241.652 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) 1) 241.652 * * [simplify]: iters left: 6 (9 enodes) 241.655 * * [simplify]: iters left: 5 (29 enodes) 241.660 * * [simplify]: iters left: 4 (38 enodes) 241.667 * * [simplify]: iters left: 3 (47 enodes) 241.678 * * [simplify]: iters left: 2 (58 enodes) 241.695 * * [simplify]: iters left: 1 (72 enodes) 241.718 * * [simplify]: Extracting #0: cost 1 inf + 0 241.718 * * [simplify]: Extracting #1: cost 8 inf + 0 241.719 * * [simplify]: Extracting #2: cost 14 inf + 1 241.719 * * [simplify]: Extracting #3: cost 15 inf + 2 241.719 * * [simplify]: Extracting #4: cost 10 inf + 268 241.719 * * [simplify]: Extracting #5: cost 1 inf + 1643 241.720 * * [simplify]: Extracting #6: cost 0 inf + 1865 241.721 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 241.721 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.722 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 241.722 * * [simplify]: iters left: 6 (11 enodes) 241.728 * * [simplify]: iters left: 5 (39 enodes) 241.743 * * [simplify]: iters left: 4 (65 enodes) 241.763 * * [simplify]: iters left: 3 (99 enodes) 241.797 * * [simplify]: iters left: 2 (136 enodes) 241.823 * * [simplify]: iters left: 1 (183 enodes) 241.885 * * [simplify]: Extracting #0: cost 1 inf + 0 241.885 * * [simplify]: Extracting #1: cost 21 inf + 0 241.885 * * [simplify]: Extracting #2: cost 40 inf + 2 241.885 * * [simplify]: Extracting #3: cost 42 inf + 2 241.885 * * [simplify]: Extracting #4: cost 41 inf + 3 241.886 * * [simplify]: Extracting #5: cost 38 inf + 206 241.886 * * [simplify]: Extracting #6: cost 21 inf + 3836 241.888 * * [simplify]: Extracting #7: cost 1 inf + 9473 241.889 * * [simplify]: Extracting #8: cost 0 inf + 9835 241.891 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 241.891 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 241.892 * * * * [progress]: [ 172 / 4148 ] simplifiying candidate # 241.892 * [simplify]: Simplifying (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 241.892 * * [simplify]: iters left: 6 (11 enodes) 241.895 * * [simplify]: iters left: 5 (39 enodes) 241.902 * * [simplify]: iters left: 4 (60 enodes) 241.917 * * [simplify]: iters left: 3 (86 enodes) 241.949 * * [simplify]: iters left: 2 (143 enodes) 242.025 * * [simplify]: iters left: 1 (275 enodes) 242.149 * * [simplify]: Extracting #0: cost 1 inf + 0 242.150 * * [simplify]: Extracting #1: cost 25 inf + 0 242.150 * * [simplify]: Extracting #2: cost 46 inf + 1 242.150 * * [simplify]: Extracting #3: cost 46 inf + 63 242.151 * * [simplify]: Extracting #4: cost 34 inf + 2119 242.154 * * [simplify]: Extracting #5: cost 5 inf + 10352 242.160 * * [simplify]: Extracting #6: cost 0 inf + 11961 242.167 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))) 242.167 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.168 * [simplify]: Simplifying (/ (/ a1 (/ (cbrt (sqrt 2)) 1)) (/ 1 1)) 242.168 * * [simplify]: iters left: 6 (9 enodes) 242.172 * * [simplify]: iters left: 5 (29 enodes) 242.177 * * [simplify]: iters left: 4 (36 enodes) 242.183 * * [simplify]: iters left: 3 (44 enodes) 242.188 * * [simplify]: iters left: 2 (51 enodes) 242.195 * * [simplify]: iters left: 1 (59 enodes) 242.203 * * [simplify]: Extracting #0: cost 1 inf + 0 242.203 * * [simplify]: Extracting #1: cost 8 inf + 0 242.203 * * [simplify]: Extracting #2: cost 11 inf + 2 242.204 * * [simplify]: Extracting #3: cost 12 inf + 44 242.204 * * [simplify]: Extracting #4: cost 10 inf + 87 242.204 * * [simplify]: Extracting #5: cost 8 inf + 249 242.204 * * [simplify]: Extracting #6: cost 0 inf + 1383 242.204 * [simplify]: Simplified to (/ a1 (cbrt (sqrt 2))) 242.204 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) 1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.205 * * * * [progress]: [ 173 / 4148 ] simplifiying candidate # 242.205 * [simplify]: Simplifying (/ (/ (cos th) 1) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 242.205 * * [simplify]: iters left: 6 (13 enodes) 242.208 * * [simplify]: iters left: 5 (43 enodes) 242.216 * * [simplify]: iters left: 4 (59 enodes) 242.225 * * [simplify]: iters left: 3 (62 enodes) 242.233 * * [simplify]: iters left: 2 (63 enodes) 242.240 * * [simplify]: Extracting #0: cost 1 inf + 0 242.240 * * [simplify]: Extracting #1: cost 7 inf + 0 242.240 * * [simplify]: Extracting #2: cost 12 inf + 1 242.240 * * [simplify]: Extracting #3: cost 14 inf + 2 242.241 * * [simplify]: Extracting #4: cost 16 inf + 63 242.241 * * [simplify]: Extracting #5: cost 17 inf + 124 242.241 * * [simplify]: Extracting #6: cost 19 inf + 124 242.241 * * [simplify]: Extracting #7: cost 17 inf + 166 242.241 * * [simplify]: Extracting #8: cost 13 inf + 650 242.241 * * [simplify]: Extracting #9: cost 9 inf + 1576 242.242 * * [simplify]: Extracting #10: cost 4 inf + 3242 242.242 * * [simplify]: Extracting #11: cost 0 inf + 4949 242.243 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 242.243 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.243 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 242.243 * * [simplify]: iters left: 6 (13 enodes) 242.248 * * [simplify]: iters left: 5 (45 enodes) 242.256 * * [simplify]: iters left: 4 (76 enodes) 242.267 * * [simplify]: iters left: 3 (107 enodes) 242.284 * * [simplify]: iters left: 2 (147 enodes) 242.309 * * [simplify]: iters left: 1 (195 enodes) 242.347 * * [simplify]: Extracting #0: cost 1 inf + 0 242.347 * * [simplify]: Extracting #1: cost 26 inf + 0 242.347 * * [simplify]: Extracting #2: cost 46 inf + 2 242.347 * * [simplify]: Extracting #3: cost 51 inf + 2 242.347 * * [simplify]: Extracting #4: cost 52 inf + 3 242.348 * * [simplify]: Extracting #5: cost 39 inf + 1982 242.349 * * [simplify]: Extracting #6: cost 15 inf + 9745 242.355 * * [simplify]: Extracting #7: cost 0 inf + 15855 242.359 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 242.359 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) 1) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.360 * * * * [progress]: [ 174 / 4148 ] simplifiying candidate # 242.360 * [simplify]: Simplifying (/ (/ (cos th) 1) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 242.360 * * [simplify]: iters left: 6 (12 enodes) 242.364 * * [simplify]: iters left: 5 (38 enodes) 242.371 * * [simplify]: iters left: 4 (51 enodes) 242.378 * * [simplify]: iters left: 3 (52 enodes) 242.385 * * [simplify]: Extracting #0: cost 1 inf + 0 242.385 * * [simplify]: Extracting #1: cost 5 inf + 0 242.385 * * [simplify]: Extracting #2: cost 9 inf + 1 242.385 * * [simplify]: Extracting #3: cost 10 inf + 124 242.385 * * [simplify]: Extracting #4: cost 13 inf + 124 242.385 * * [simplify]: Extracting #5: cost 15 inf + 124 242.385 * * [simplify]: Extracting #6: cost 12 inf + 207 242.386 * * [simplify]: Extracting #7: cost 6 inf + 1333 242.386 * * [simplify]: Extracting #8: cost 2 inf + 2400 242.386 * * [simplify]: Extracting #9: cost 0 inf + 2983 242.387 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (cbrt (sqrt 2))))) 242.387 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.387 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 242.387 * * [simplify]: iters left: 6 (13 enodes) 242.392 * * [simplify]: iters left: 5 (45 enodes) 242.403 * * [simplify]: iters left: 4 (77 enodes) 242.427 * * [simplify]: iters left: 3 (108 enodes) 242.456 * * [simplify]: iters left: 2 (149 enodes) 242.483 * * [simplify]: iters left: 1 (197 enodes) 242.531 * * [simplify]: Extracting #0: cost 1 inf + 0 242.532 * * [simplify]: Extracting #1: cost 26 inf + 0 242.532 * * [simplify]: Extracting #2: cost 47 inf + 2 242.532 * * [simplify]: Extracting #3: cost 52 inf + 2 242.533 * * [simplify]: Extracting #4: cost 52 inf + 3 242.533 * * [simplify]: Extracting #5: cost 38 inf + 2144 242.536 * * [simplify]: Extracting #6: cost 12 inf + 9390 242.541 * * [simplify]: Extracting #7: cost 0 inf + 13455 242.546 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2))))) 242.547 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) 1) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.547 * * * * [progress]: [ 175 / 4148 ] simplifiying candidate # 242.547 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 242.547 * * [simplify]: iters left: 6 (12 enodes) 242.557 * * [simplify]: iters left: 5 (42 enodes) 242.570 * * [simplify]: iters left: 4 (46 enodes) 242.582 * * [simplify]: iters left: 3 (53 enodes) 242.596 * * [simplify]: iters left: 2 (61 enodes) 242.616 * * [simplify]: iters left: 1 (68 enodes) 242.633 * * [simplify]: Extracting #0: cost 1 inf + 0 242.633 * * [simplify]: Extracting #1: cost 8 inf + 0 242.633 * * [simplify]: Extracting #2: cost 14 inf + 1 242.633 * * [simplify]: Extracting #3: cost 15 inf + 2 242.633 * * [simplify]: Extracting #4: cost 14 inf + 226 242.633 * * [simplify]: Extracting #5: cost 10 inf + 411 242.633 * * [simplify]: Extracting #6: cost 5 inf + 1398 242.634 * * [simplify]: Extracting #7: cost 0 inf + 2747 242.634 * [simplify]: Simplified to (/ (cos th) (cbrt (cbrt (sqrt 2)))) 242.634 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.635 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 242.635 * * [simplify]: iters left: 6 (12 enodes) 242.639 * * [simplify]: iters left: 5 (44 enodes) 242.647 * * [simplify]: iters left: 4 (68 enodes) 242.657 * * [simplify]: iters left: 3 (94 enodes) 242.684 * * [simplify]: iters left: 2 (119 enodes) 242.722 * * [simplify]: iters left: 1 (182 enodes) 242.763 * * [simplify]: Extracting #0: cost 1 inf + 0 242.763 * * [simplify]: Extracting #1: cost 25 inf + 0 242.763 * * [simplify]: Extracting #2: cost 44 inf + 2 242.764 * * [simplify]: Extracting #3: cost 46 inf + 2 242.764 * * [simplify]: Extracting #4: cost 45 inf + 3 242.765 * * [simplify]: Extracting #5: cost 30 inf + 2267 242.768 * * [simplify]: Extracting #6: cost 7 inf + 8391 242.772 * * [simplify]: Extracting #7: cost 0 inf + 10484 242.776 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 242.776 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.776 * * * * [progress]: [ 176 / 4148 ] simplifiying candidate # 242.777 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 242.777 * * [simplify]: iters left: 6 (11 enodes) 242.784 * * [simplify]: iters left: 5 (37 enodes) 242.796 * * [simplify]: iters left: 4 (41 enodes) 242.811 * * [simplify]: iters left: 3 (53 enodes) 242.825 * * [simplify]: iters left: 2 (61 enodes) 242.842 * * [simplify]: iters left: 1 (68 enodes) 242.862 * * [simplify]: Extracting #0: cost 1 inf + 0 242.862 * * [simplify]: Extracting #1: cost 8 inf + 0 242.862 * * [simplify]: Extracting #2: cost 14 inf + 1 242.862 * * [simplify]: Extracting #3: cost 15 inf + 2 242.862 * * [simplify]: Extracting #4: cost 15 inf + 124 242.862 * * [simplify]: Extracting #5: cost 12 inf + 329 242.863 * * [simplify]: Extracting #6: cost 11 inf + 370 242.863 * * [simplify]: Extracting #7: cost 7 inf + 854 242.864 * * [simplify]: Extracting #8: cost 0 inf + 2747 242.865 * [simplify]: Simplified to (/ (cos th) (cbrt (cbrt (sqrt 2)))) 242.865 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 242.866 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 242.866 * * [simplify]: iters left: 6 (12 enodes) 242.873 * * [simplify]: iters left: 5 (44 enodes) 242.888 * * [simplify]: iters left: 4 (68 enodes) 242.908 * * [simplify]: iters left: 3 (94 enodes) 242.936 * * [simplify]: iters left: 2 (119 enodes) 242.982 * * [simplify]: iters left: 1 (182 enodes) 243.037 * * [simplify]: Extracting #0: cost 1 inf + 0 243.037 * * [simplify]: Extracting #1: cost 25 inf + 0 243.038 * * [simplify]: Extracting #2: cost 44 inf + 2 243.038 * * [simplify]: Extracting #3: cost 46 inf + 2 243.038 * * [simplify]: Extracting #4: cost 45 inf + 3 243.038 * * [simplify]: Extracting #5: cost 30 inf + 2267 243.040 * * [simplify]: Extracting #6: cost 7 inf + 8391 243.043 * * [simplify]: Extracting #7: cost 0 inf + 10484 243.047 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 243.047 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.048 * * * * [progress]: [ 177 / 4148 ] simplifiying candidate # 243.048 * [simplify]: Simplifying (/ (/ (cos th) 1) (/ (cbrt (cbrt (sqrt 2))) 1)) 243.048 * * [simplify]: iters left: 6 (10 enodes) 243.056 * * [simplify]: iters left: 5 (32 enodes) 243.062 * * [simplify]: iters left: 4 (38 enodes) 243.069 * * [simplify]: iters left: 3 (51 enodes) 243.077 * * [simplify]: iters left: 2 (62 enodes) 243.086 * * [simplify]: iters left: 1 (72 enodes) 243.101 * * [simplify]: Extracting #0: cost 1 inf + 0 243.101 * * [simplify]: Extracting #1: cost 8 inf + 0 243.101 * * [simplify]: Extracting #2: cost 14 inf + 1 243.102 * * [simplify]: Extracting #3: cost 15 inf + 2 243.102 * * [simplify]: Extracting #4: cost 15 inf + 165 243.102 * * [simplify]: Extracting #5: cost 11 inf + 370 243.103 * * [simplify]: Extracting #6: cost 2 inf + 2143 243.104 * * [simplify]: Extracting #7: cost 0 inf + 2747 243.105 * [simplify]: Simplified to (/ (cos th) (cbrt (cbrt (sqrt 2)))) 243.105 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.105 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 243.105 * * [simplify]: iters left: 6 (11 enodes) 243.111 * * [simplify]: iters left: 5 (39 enodes) 243.118 * * [simplify]: iters left: 4 (63 enodes) 243.128 * * [simplify]: iters left: 3 (89 enodes) 243.144 * * [simplify]: iters left: 2 (114 enodes) 243.170 * * [simplify]: iters left: 1 (177 enodes) 243.237 * * [simplify]: Extracting #0: cost 1 inf + 0 243.237 * * [simplify]: Extracting #1: cost 24 inf + 0 243.238 * * [simplify]: Extracting #2: cost 43 inf + 2 243.238 * * [simplify]: Extracting #3: cost 45 inf + 2 243.238 * * [simplify]: Extracting #4: cost 44 inf + 3 243.238 * * [simplify]: Extracting #5: cost 30 inf + 2065 243.240 * * [simplify]: Extracting #6: cost 8 inf + 7905 243.242 * * [simplify]: Extracting #7: cost 0 inf + 10161 243.244 * [simplify]: Simplified to (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 243.244 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (cbrt (cbrt (sqrt 2)))) (/ (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.244 * * * * [progress]: [ 178 / 4148 ] simplifiying candidate # 243.244 * [simplify]: Simplifying (/ (/ (cos th) 1) 1) 243.244 * * [simplify]: iters left: 5 (5 enodes) 243.246 * * [simplify]: iters left: 4 (13 enodes) 243.248 * * [simplify]: iters left: 3 (17 enodes) 243.250 * * [simplify]: Extracting #0: cost 1 inf + 0 243.250 * * [simplify]: Extracting #1: cost 4 inf + 0 243.250 * * [simplify]: Extracting #2: cost 2 inf + 2 243.250 * * [simplify]: Extracting #3: cost 1 inf + 63 243.250 * * [simplify]: Extracting #4: cost 0 inf + 124 243.250 * [simplify]: Simplified to (cos th) 243.250 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (cos th) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.250 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 243.251 * * [simplify]: iters left: 6 (12 enodes) 243.254 * * [simplify]: iters left: 5 (44 enodes) 243.264 * * [simplify]: iters left: 4 (83 enodes) 243.292 * * [simplify]: iters left: 3 (156 enodes) 243.349 * * [simplify]: iters left: 2 (265 enodes) 243.451 * * [simplify]: iters left: 1 (447 enodes) 243.675 * * [simplify]: Extracting #0: cost 1 inf + 0 243.675 * * [simplify]: Extracting #1: cost 46 inf + 0 243.676 * * [simplify]: Extracting #2: cost 82 inf + 2 243.676 * * [simplify]: Extracting #3: cost 84 inf + 2 243.677 * * [simplify]: Extracting #4: cost 83 inf + 3 243.679 * * [simplify]: Extracting #5: cost 65 inf + 3189 243.685 * * [simplify]: Extracting #6: cost 16 inf + 17483 243.690 * * [simplify]: Extracting #7: cost 0 inf + 22475 243.696 * [simplify]: Simplified to (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 243.696 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.696 * * * * [progress]: [ 179 / 4148 ] simplifiying candidate # 243.696 * [simplify]: Simplifying (/ (/ (cos th) 1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 243.696 * * [simplify]: iters left: 6 (10 enodes) 243.699 * * [simplify]: iters left: 5 (34 enodes) 243.705 * * [simplify]: iters left: 4 (42 enodes) 243.712 * * [simplify]: iters left: 3 (47 enodes) 243.723 * * [simplify]: iters left: 2 (48 enodes) 243.736 * * [simplify]: Extracting #0: cost 1 inf + 0 243.736 * * [simplify]: Extracting #1: cost 7 inf + 0 243.736 * * [simplify]: Extracting #2: cost 12 inf + 1 243.736 * * [simplify]: Extracting #3: cost 13 inf + 2 243.736 * * [simplify]: Extracting #4: cost 14 inf + 63 243.736 * * [simplify]: Extracting #5: cost 10 inf + 207 243.736 * * [simplify]: Extracting #6: cost 6 inf + 851 243.737 * * [simplify]: Extracting #7: cost 1 inf + 2319 243.737 * * [simplify]: Extracting #8: cost 0 inf + 2621 243.738 * [simplify]: Simplified to (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 243.738 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.738 * [simplify]: Simplifying (/ (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1)) 243.738 * * [simplify]: iters left: 6 (10 enodes) 243.741 * * [simplify]: iters left: 5 (34 enodes) 243.750 * * [simplify]: iters left: 4 (55 enodes) 243.759 * * [simplify]: iters left: 3 (77 enodes) 243.778 * * [simplify]: iters left: 2 (95 enodes) 243.807 * * [simplify]: iters left: 1 (110 enodes) 243.839 * * [simplify]: Extracting #0: cost 1 inf + 0 243.839 * * [simplify]: Extracting #1: cost 12 inf + 0 243.839 * * [simplify]: Extracting #2: cost 19 inf + 2 243.839 * * [simplify]: Extracting #3: cost 19 inf + 86 243.839 * * [simplify]: Extracting #4: cost 18 inf + 87 243.840 * * [simplify]: Extracting #5: cost 14 inf + 411 243.841 * * [simplify]: Extracting #6: cost 1 inf + 2715 243.842 * * [simplify]: Extracting #7: cost 0 inf + 2917 243.844 * [simplify]: Simplified to (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) 243.844 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.844 * * * * [progress]: [ 180 / 4148 ] simplifiying candidate # 243.844 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 243.845 * * [simplify]: iters left: 6 (14 enodes) 243.851 * * [simplify]: iters left: 5 (50 enodes) 243.861 * * [simplify]: iters left: 4 (78 enodes) 243.874 * * [simplify]: iters left: 3 (113 enodes) 243.891 * * [simplify]: iters left: 2 (123 enodes) 243.906 * * [simplify]: Extracting #0: cost 1 inf + 0 243.906 * * [simplify]: Extracting #1: cost 18 inf + 0 243.906 * * [simplify]: Extracting #2: cost 37 inf + 0 243.906 * * [simplify]: Extracting #3: cost 41 inf + 62 243.906 * * [simplify]: Extracting #4: cost 34 inf + 933 243.907 * * [simplify]: Extracting #5: cost 27 inf + 2424 243.907 * * [simplify]: Extracting #6: cost 17 inf + 5796 243.909 * * [simplify]: Extracting #7: cost 2 inf + 12520 243.911 * * [simplify]: Extracting #8: cost 0 inf + 13303 243.913 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))))) 243.913 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.913 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 243.914 * * [simplify]: iters left: 6 (12 enodes) 243.921 * * [simplify]: iters left: 5 (38 enodes) 243.933 * * [simplify]: iters left: 4 (49 enodes) 243.946 * * [simplify]: iters left: 3 (50 enodes) 243.958 * * [simplify]: Extracting #0: cost 1 inf + 0 243.958 * * [simplify]: Extracting #1: cost 4 inf + 0 243.958 * * [simplify]: Extracting #2: cost 6 inf + 1 243.958 * * [simplify]: Extracting #3: cost 8 inf + 2 243.958 * * [simplify]: Extracting #4: cost 11 inf + 2 243.958 * * [simplify]: Extracting #5: cost 13 inf + 2 243.958 * * [simplify]: Extracting #6: cost 15 inf + 2 243.958 * * [simplify]: Extracting #7: cost 12 inf + 85 243.959 * * [simplify]: Extracting #8: cost 6 inf + 1211 243.959 * * [simplify]: Extracting #9: cost 2 inf + 2457 243.959 * * [simplify]: Extracting #10: cost 0 inf + 3061 243.960 * [simplify]: Simplified to (/ a1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 243.960 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ a1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 243.960 * * * * [progress]: [ 181 / 4148 ] simplifiying candidate # 243.960 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 243.960 * * [simplify]: iters left: 6 (13 enodes) 243.964 * * [simplify]: iters left: 5 (45 enodes) 243.972 * * [simplify]: iters left: 4 (66 enodes) 243.982 * * [simplify]: iters left: 3 (79 enodes) 243.993 * * [simplify]: iters left: 2 (81 enodes) 244.003 * * [simplify]: Extracting #0: cost 1 inf + 0 244.003 * * [simplify]: Extracting #1: cost 12 inf + 0 244.003 * * [simplify]: Extracting #2: cost 26 inf + 0 244.003 * * [simplify]: Extracting #3: cost 30 inf + 62 244.004 * * [simplify]: Extracting #4: cost 25 inf + 448 244.004 * * [simplify]: Extracting #5: cost 11 inf + 3949 244.005 * * [simplify]: Extracting #6: cost 1 inf + 6743 244.006 * * [simplify]: Extracting #7: cost 0 inf + 7085 244.007 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) 244.007 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.007 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 244.007 * * [simplify]: iters left: 6 (12 enodes) 244.011 * * [simplify]: iters left: 5 (38 enodes) 244.017 * * [simplify]: iters left: 4 (50 enodes) 244.024 * * [simplify]: iters left: 3 (51 enodes) 244.031 * * [simplify]: Extracting #0: cost 1 inf + 0 244.031 * * [simplify]: Extracting #1: cost 4 inf + 0 244.031 * * [simplify]: Extracting #2: cost 7 inf + 1 244.031 * * [simplify]: Extracting #3: cost 10 inf + 2 244.031 * * [simplify]: Extracting #4: cost 13 inf + 2 244.031 * * [simplify]: Extracting #5: cost 15 inf + 2 244.031 * * [simplify]: Extracting #6: cost 12 inf + 85 244.031 * * [simplify]: Extracting #7: cost 6 inf + 1211 244.032 * * [simplify]: Extracting #8: cost 1 inf + 2459 244.032 * * [simplify]: Extracting #9: cost 0 inf + 2741 244.032 * [simplify]: Simplified to (/ a1 (fabs (cbrt (cbrt (sqrt 2))))) 244.032 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ a1 (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.033 * * * * [progress]: [ 182 / 4148 ] simplifiying candidate # 244.033 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 244.033 * * [simplify]: iters left: 6 (13 enodes) 244.039 * * [simplify]: iters left: 5 (49 enodes) 244.047 * * [simplify]: iters left: 4 (66 enodes) 244.057 * * [simplify]: iters left: 3 (93 enodes) 244.072 * * [simplify]: iters left: 2 (129 enodes) 244.117 * * [simplify]: iters left: 1 (201 enodes) 244.178 * * [simplify]: Extracting #0: cost 1 inf + 0 244.178 * * [simplify]: Extracting #1: cost 21 inf + 0 244.178 * * [simplify]: Extracting #2: cost 43 inf + 1 244.178 * * [simplify]: Extracting #3: cost 42 inf + 124 244.178 * * [simplify]: Extracting #4: cost 34 inf + 1114 244.179 * * [simplify]: Extracting #5: cost 15 inf + 5867 244.181 * * [simplify]: Extracting #6: cost 1 inf + 9993 244.184 * * [simplify]: Extracting #7: cost 0 inf + 10295 244.186 * [simplify]: Simplified to (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) 244.186 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.186 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 244.186 * * [simplify]: iters left: 6 (11 enodes) 244.191 * * [simplify]: iters left: 5 (37 enodes) 244.197 * * [simplify]: iters left: 4 (41 enodes) 244.203 * * [simplify]: iters left: 3 (50 enodes) 244.210 * * [simplify]: iters left: 2 (57 enodes) 244.225 * * [simplify]: iters left: 1 (62 enodes) 244.239 * * [simplify]: Extracting #0: cost 1 inf + 0 244.239 * * [simplify]: Extracting #1: cost 7 inf + 0 244.239 * * [simplify]: Extracting #2: cost 10 inf + 2 244.239 * * [simplify]: Extracting #3: cost 11 inf + 44 244.239 * * [simplify]: Extracting #4: cost 13 inf + 44 244.239 * * [simplify]: Extracting #5: cost 11 inf + 86 244.240 * * [simplify]: Extracting #6: cost 5 inf + 1095 244.240 * * [simplify]: Extracting #7: cost 0 inf + 2305 244.241 * [simplify]: Simplified to (/ a1 (cbrt (cbrt (sqrt 2)))) 244.241 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ a1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.242 * * * * [progress]: [ 183 / 4148 ] simplifiying candidate # 244.242 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 244.242 * * [simplify]: iters left: 6 (12 enodes) 244.249 * * [simplify]: iters left: 5 (44 enodes) 244.263 * * [simplify]: iters left: 4 (56 enodes) 244.280 * * [simplify]: iters left: 3 (81 enodes) 244.305 * * [simplify]: iters left: 2 (113 enodes) 244.346 * * [simplify]: iters left: 1 (186 enodes) 244.415 * * [simplify]: Extracting #0: cost 1 inf + 0 244.415 * * [simplify]: Extracting #1: cost 22 inf + 0 244.415 * * [simplify]: Extracting #2: cost 43 inf + 1 244.416 * * [simplify]: Extracting #3: cost 43 inf + 63 244.416 * * [simplify]: Extracting #4: cost 36 inf + 932 244.419 * * [simplify]: Extracting #5: cost 10 inf + 7576 244.423 * * [simplify]: Extracting #6: cost 0 inf + 10296 244.428 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 244.428 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.429 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 244.429 * * [simplify]: iters left: 6 (11 enodes) 244.436 * * [simplify]: iters left: 5 (37 enodes) 244.443 * * [simplify]: iters left: 4 (41 enodes) 244.451 * * [simplify]: iters left: 3 (50 enodes) 244.458 * * [simplify]: iters left: 2 (57 enodes) 244.472 * * [simplify]: iters left: 1 (62 enodes) 244.486 * * [simplify]: Extracting #0: cost 1 inf + 0 244.486 * * [simplify]: Extracting #1: cost 7 inf + 0 244.486 * * [simplify]: Extracting #2: cost 10 inf + 2 244.486 * * [simplify]: Extracting #3: cost 11 inf + 44 244.487 * * [simplify]: Extracting #4: cost 13 inf + 44 244.487 * * [simplify]: Extracting #5: cost 11 inf + 86 244.487 * * [simplify]: Extracting #6: cost 5 inf + 1095 244.488 * * [simplify]: Extracting #7: cost 0 inf + 2305 244.489 * [simplify]: Simplified to (/ a1 (cbrt (cbrt (sqrt 2)))) 244.489 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ a1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.489 * * * * [progress]: [ 184 / 4148 ] simplifiying candidate # 244.490 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 244.490 * * [simplify]: iters left: 6 (11 enodes) 244.495 * * [simplify]: iters left: 5 (39 enodes) 244.508 * * [simplify]: iters left: 4 (53 enodes) 244.525 * * [simplify]: iters left: 3 (78 enodes) 244.548 * * [simplify]: iters left: 2 (113 enodes) 244.572 * * [simplify]: iters left: 1 (185 enodes) 244.662 * * [simplify]: Extracting #0: cost 1 inf + 0 244.662 * * [simplify]: Extracting #1: cost 21 inf + 0 244.662 * * [simplify]: Extracting #2: cost 44 inf + 1 244.663 * * [simplify]: Extracting #3: cost 43 inf + 124 244.663 * * [simplify]: Extracting #4: cost 32 inf + 1679 244.665 * * [simplify]: Extracting #5: cost 4 inf + 9510 244.667 * * [simplify]: Extracting #6: cost 0 inf + 10637 244.669 * [simplify]: Simplified to (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 244.670 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.670 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 244.670 * * [simplify]: iters left: 6 (10 enodes) 244.675 * * [simplify]: iters left: 5 (32 enodes) 244.680 * * [simplify]: iters left: 4 (37 enodes) 244.686 * * [simplify]: iters left: 3 (45 enodes) 244.698 * * [simplify]: iters left: 2 (53 enodes) 244.712 * * [simplify]: iters left: 1 (61 enodes) 244.729 * * [simplify]: Extracting #0: cost 1 inf + 0 244.729 * * [simplify]: Extracting #1: cost 8 inf + 0 244.729 * * [simplify]: Extracting #2: cost 11 inf + 2 244.729 * * [simplify]: Extracting #3: cost 12 inf + 44 244.730 * * [simplify]: Extracting #4: cost 13 inf + 86 244.730 * * [simplify]: Extracting #5: cost 11 inf + 128 244.730 * * [simplify]: Extracting #6: cost 2 inf + 1781 244.731 * * [simplify]: Extracting #7: cost 0 inf + 2265 244.732 * [simplify]: Simplified to (/ a1 (cbrt (cbrt (sqrt 2)))) 244.732 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ a1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.732 * * * * [progress]: [ 185 / 4148 ] simplifiying candidate # 244.733 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 244.733 * * [simplify]: iters left: 6 (9 enodes) 244.738 * * [simplify]: iters left: 5 (31 enodes) 244.748 * * [simplify]: iters left: 4 (41 enodes) 244.762 * * [simplify]: iters left: 3 (48 enodes) 244.775 * * [simplify]: Extracting #0: cost 1 inf + 0 244.775 * * [simplify]: Extracting #1: cost 7 inf + 0 244.775 * * [simplify]: Extracting #2: cost 12 inf + 1 244.775 * * [simplify]: Extracting #3: cost 13 inf + 2 244.775 * * [simplify]: Extracting #4: cost 9 inf + 166 244.776 * * [simplify]: Extracting #5: cost 4 inf + 832 244.776 * * [simplify]: Extracting #6: cost 0 inf + 1739 244.777 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 244.777 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ a1 (/ 1 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.777 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 244.777 * * [simplify]: iters left: 6 (11 enodes) 244.784 * * [simplify]: iters left: 5 (37 enodes) 244.798 * * [simplify]: iters left: 4 (65 enodes) 244.822 * * [simplify]: iters left: 3 (100 enodes) 244.844 * * [simplify]: iters left: 2 (128 enodes) 244.861 * * [simplify]: iters left: 1 (144 enodes) 244.897 * * [simplify]: Extracting #0: cost 1 inf + 0 244.897 * * [simplify]: Extracting #1: cost 12 inf + 0 244.898 * * [simplify]: Extracting #2: cost 19 inf + 2 244.898 * * [simplify]: Extracting #3: cost 20 inf + 44 244.898 * * [simplify]: Extracting #4: cost 21 inf + 86 244.898 * * [simplify]: Extracting #5: cost 19 inf + 128 244.899 * * [simplify]: Extracting #6: cost 8 inf + 2304 244.900 * * [simplify]: Extracting #7: cost 0 inf + 4439 244.902 * [simplify]: Simplified to (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 244.903 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.903 * * * * [progress]: [ 186 / 4148 ] simplifiying candidate # 244.903 * [simplify]: Simplifying (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 244.903 * * [simplify]: iters left: 6 (10 enodes) 244.909 * * [simplify]: iters left: 5 (36 enodes) 244.922 * * [simplify]: iters left: 4 (54 enodes) 244.931 * * [simplify]: iters left: 3 (88 enodes) 244.944 * * [simplify]: iters left: 2 (98 enodes) 244.962 * * [simplify]: Extracting #0: cost 1 inf + 0 244.962 * * [simplify]: Extracting #1: cost 18 inf + 0 244.963 * * [simplify]: Extracting #2: cost 36 inf + 0 244.963 * * [simplify]: Extracting #3: cost 36 inf + 62 244.963 * * [simplify]: Extracting #4: cost 29 inf + 729 244.964 * * [simplify]: Extracting #5: cost 16 inf + 4291 244.966 * * [simplify]: Extracting #6: cost 2 inf + 8492 244.969 * * [simplify]: Extracting #7: cost 0 inf + 9054 244.972 * [simplify]: Simplified to (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 244.972 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (/ 1 1)) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.972 * [simplify]: Simplifying (/ (/ a1 (/ 1 1)) (/ 1 1)) 244.972 * * [simplify]: iters left: 6 (5 enodes) 244.976 * * [simplify]: iters left: 5 (17 enodes) 244.980 * * [simplify]: iters left: 4 (19 enodes) 244.983 * * [simplify]: Extracting #0: cost 1 inf + 0 244.984 * * [simplify]: Extracting #1: cost 0 inf + 1 244.984 * [simplify]: Simplified to a1 244.984 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 244.984 * * * * [progress]: [ 187 / 4148 ] simplifiying candidate # 244.984 * [simplify]: Simplifying (/ 1 (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 244.984 * * [simplify]: iters left: 6 (10 enodes) 244.990 * * [simplify]: iters left: 5 (34 enodes) 245.002 * * [simplify]: iters left: 4 (46 enodes) 245.016 * * [simplify]: iters left: 3 (47 enodes) 245.029 * * [simplify]: Extracting #0: cost 1 inf + 0 245.029 * * [simplify]: Extracting #1: cost 6 inf + 0 245.029 * * [simplify]: Extracting #2: cost 9 inf + 1 245.029 * * [simplify]: Extracting #3: cost 12 inf + 1 245.029 * * [simplify]: Extracting #4: cost 15 inf + 1 245.029 * * [simplify]: Extracting #5: cost 17 inf + 1 245.029 * * [simplify]: Extracting #6: cost 19 inf + 1 245.029 * * [simplify]: Extracting #7: cost 18 inf + 2 245.029 * * [simplify]: Extracting #8: cost 14 inf + 326 245.030 * * [simplify]: Extracting #9: cost 7 inf + 2094 245.031 * * [simplify]: Extracting #10: cost 0 inf + 4586 245.032 * [simplify]: Simplified to (/ 1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 245.032 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ 1 (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 245.033 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 245.033 * * [simplify]: iters left: 6 (16 enodes) 245.041 * * [simplify]: iters left: 5 (57 enodes) 245.055 * * [simplify]: iters left: 4 (114 enodes) 245.077 * * [simplify]: iters left: 3 (245 enodes) 245.168 * * [simplify]: Extracting #0: cost 1 inf + 0 245.168 * * [simplify]: Extracting #1: cost 54 inf + 0 245.169 * * [simplify]: Extracting #2: cost 108 inf + 2 245.170 * * [simplify]: Extracting #3: cost 111 inf + 310 245.171 * * [simplify]: Extracting #4: cost 105 inf + 1442 245.176 * * [simplify]: Extracting #5: cost 48 inf + 19577 245.189 * * [simplify]: Extracting #6: cost 3 inf + 38444 245.203 * * [simplify]: Extracting #7: cost 0 inf + 39732 245.218 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 245.218 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (/ (* a1 (cos th)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 245.219 * * * * [progress]: [ 188 / 4148 ] simplifiying candidate # 245.219 * [simplify]: Simplifying (/ 1 (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 245.219 * * [simplify]: iters left: 6 (9 enodes) 245.224 * * [simplify]: iters left: 5 (29 enodes) 245.234 * * [simplify]: iters left: 4 (40 enodes) 245.246 * * [simplify]: iters left: 3 (41 enodes) 245.260 * * [simplify]: Extracting #0: cost 1 inf + 0 245.260 * * [simplify]: Extracting #1: cost 4 inf + 0 245.260 * * [simplify]: Extracting #2: cost 6 inf + 1 245.260 * * [simplify]: Extracting #3: cost 10 inf + 1 245.260 * * [simplify]: Extracting #4: cost 13 inf + 1 245.260 * * [simplify]: Extracting #5: cost 15 inf + 1 245.260 * * [simplify]: Extracting #6: cost 14 inf + 2 245.260 * * [simplify]: Extracting #7: cost 11 inf + 205 245.261 * * [simplify]: Extracting #8: cost 6 inf + 1251 245.261 * * [simplify]: Extracting #9: cost 0 inf + 2740 245.262 * [simplify]: Simplified to (/ 1 (fabs (cbrt (cbrt (sqrt 2))))) 245.262 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ 1 (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 245.263 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 245.263 * * [simplify]: iters left: 6 (16 enodes) 245.271 * * [simplify]: iters left: 5 (57 enodes) 245.291 * * [simplify]: iters left: 4 (115 enodes) 245.332 * * [simplify]: iters left: 3 (246 enodes) 245.405 * * [simplify]: Extracting #0: cost 1 inf + 0 245.405 * * [simplify]: Extracting #1: cost 55 inf + 0 245.405 * * [simplify]: Extracting #2: cost 112 inf + 2 245.406 * * [simplify]: Extracting #3: cost 115 inf + 310 245.406 * * [simplify]: Extracting #4: cost 107 inf + 1503 245.408 * * [simplify]: Extracting #5: cost 53 inf + 16492 245.414 * * [simplify]: Extracting #6: cost 1 inf + 34798 245.420 * * [simplify]: Extracting #7: cost 0 inf + 35161 245.426 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) a1)) 245.426 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 245.427 * * * * [progress]: [ 189 / 4148 ] simplifiying candidate # 245.427 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 245.427 * * [simplify]: iters left: 6 (9 enodes) 245.430 * * [simplify]: iters left: 5 (33 enodes) 245.436 * * [simplify]: iters left: 4 (37 enodes) 245.443 * * [simplify]: Extracting #0: cost 1 inf + 0 245.443 * * [simplify]: Extracting #1: cost 4 inf + 0 245.443 * * [simplify]: Extracting #2: cost 5 inf + 1 245.443 * * [simplify]: Extracting #3: cost 7 inf + 1 245.443 * * [simplify]: Extracting #4: cost 9 inf + 1 245.443 * * [simplify]: Extracting #5: cost 0 inf + 1212 245.443 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 245.443 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 245.443 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 245.444 * * [simplify]: iters left: 6 (15 enodes) 245.449 * * [simplify]: iters left: 5 (56 enodes) 245.468 * * [simplify]: iters left: 4 (106 enodes) 245.507 * * [simplify]: iters left: 3 (241 enodes) 245.603 * * [simplify]: iters left: 2 (497 enodes) 246.005 * * [simplify]: Extracting #0: cost 1 inf + 0 246.005 * * [simplify]: Extracting #1: cost 62 inf + 0 246.005 * * [simplify]: Extracting #2: cost 118 inf + 2 246.009 * * [simplify]: Extracting #3: cost 116 inf + 268 246.009 * * [simplify]: Extracting #4: cost 109 inf + 1018 246.012 * * [simplify]: Extracting #5: cost 57 inf + 14188 246.024 * * [simplify]: Extracting #6: cost 7 inf + 30552 246.035 * * [simplify]: Extracting #7: cost 0 inf + 32930 246.044 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 246.044 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 246.044 * * * * [progress]: [ 190 / 4148 ] simplifiying candidate # 246.045 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 246.045 * * [simplify]: iters left: 6 (8 enodes) 246.048 * * [simplify]: iters left: 5 (28 enodes) 246.053 * * [simplify]: iters left: 4 (30 enodes) 246.057 * * [simplify]: iters left: 3 (33 enodes) 246.066 * * [simplify]: iters left: 2 (34 enodes) 246.074 * * [simplify]: Extracting #0: cost 1 inf + 0 246.074 * * [simplify]: Extracting #1: cost 4 inf + 0 246.074 * * [simplify]: Extracting #2: cost 5 inf + 1 246.074 * * [simplify]: Extracting #3: cost 7 inf + 1 246.074 * * [simplify]: Extracting #4: cost 9 inf + 1 246.074 * * [simplify]: Extracting #5: cost 8 inf + 2 246.075 * * [simplify]: Extracting #6: cost 4 inf + 406 246.075 * * [simplify]: Extracting #7: cost 0 inf + 1212 246.075 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 246.075 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 246.076 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 246.076 * * [simplify]: iters left: 6 (15 enodes) 246.086 * * [simplify]: iters left: 5 (56 enodes) 246.098 * * [simplify]: iters left: 4 (106 enodes) 246.121 * * [simplify]: iters left: 3 (241 enodes) 246.217 * * [simplify]: iters left: 2 (497 enodes) 246.626 * * [simplify]: Extracting #0: cost 1 inf + 0 246.626 * * [simplify]: Extracting #1: cost 62 inf + 0 246.627 * * [simplify]: Extracting #2: cost 118 inf + 2 246.627 * * [simplify]: Extracting #3: cost 116 inf + 268 246.628 * * [simplify]: Extracting #4: cost 109 inf + 1018 246.630 * * [simplify]: Extracting #5: cost 57 inf + 14188 246.637 * * [simplify]: Extracting #6: cost 7 inf + 30552 246.646 * * [simplify]: Extracting #7: cost 0 inf + 32930 246.658 * [simplify]: Simplified to (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 246.659 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 246.659 * * * * [progress]: [ 191 / 4148 ] simplifiying candidate # 246.659 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) 1)) 246.659 * * [simplify]: iters left: 6 (7 enodes) 246.667 * * [simplify]: iters left: 5 (23 enodes) 246.676 * * [simplify]: iters left: 4 (27 enodes) 246.681 * * [simplify]: Extracting #0: cost 1 inf + 0 246.681 * * [simplify]: Extracting #1: cost 4 inf + 0 246.681 * * [simplify]: Extracting #2: cost 5 inf + 1 246.681 * * [simplify]: Extracting #3: cost 7 inf + 1 246.681 * * [simplify]: Extracting #4: cost 9 inf + 1 246.681 * * [simplify]: Extracting #5: cost 8 inf + 2 246.681 * * [simplify]: Extracting #6: cost 4 inf + 326 246.681 * * [simplify]: Extracting #7: cost 2 inf + 769 246.682 * * [simplify]: Extracting #8: cost 0 inf + 1212 246.682 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 246.682 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ 1 (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 246.682 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 246.682 * * [simplify]: iters left: 6 (14 enodes) 246.686 * * [simplify]: iters left: 5 (51 enodes) 246.695 * * [simplify]: iters left: 4 (101 enodes) 246.715 * * [simplify]: iters left: 3 (236 enodes) 246.811 * * [simplify]: iters left: 2 (497 enodes) 247.285 * * [simplify]: Extracting #0: cost 1 inf + 0 247.285 * * [simplify]: Extracting #1: cost 59 inf + 0 247.286 * * [simplify]: Extracting #2: cost 110 inf + 2 247.286 * * [simplify]: Extracting #3: cost 108 inf + 227 247.287 * * [simplify]: Extracting #4: cost 104 inf + 412 247.288 * * [simplify]: Extracting #5: cost 102 inf + 694 247.291 * * [simplify]: Extracting #6: cost 45 inf + 15697 247.298 * * [simplify]: Extracting #7: cost 1 inf + 29744 247.306 * * [simplify]: Extracting #8: cost 0 inf + 30086 247.323 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 247.324 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 247.324 * * * * [progress]: [ 192 / 4148 ] simplifiying candidate # 247.324 * [simplify]: Simplifying (/ 1 1) 247.324 * * [simplify]: iters left: 2 (2 enodes) 247.326 * * [simplify]: iters left: 1 (6 enodes) 247.328 * * [simplify]: Extracting #0: cost 1 inf + 0 247.329 * * [simplify]: Extracting #1: cost 0 inf + 1 247.329 * [simplify]: Simplified to 1 247.329 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* 1 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 247.329 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 247.329 * * [simplify]: iters left: 6 (15 enodes) 247.337 * * [simplify]: iters left: 5 (56 enodes) 247.358 * * [simplify]: iters left: 4 (121 enodes) 247.395 * * [simplify]: iters left: 3 (358 enodes) 247.628 * * [simplify]: Extracting #0: cost 1 inf + 0 247.628 * * [simplify]: Extracting #1: cost 95 inf + 0 247.630 * * [simplify]: Extracting #2: cost 215 inf + 2 247.632 * * [simplify]: Extracting #3: cost 215 inf + 371 247.634 * * [simplify]: Extracting #4: cost 214 inf + 372 247.638 * * [simplify]: Extracting #5: cost 171 inf + 11357 247.657 * * [simplify]: Extracting #6: cost 33 inf + 57940 247.685 * * [simplify]: Extracting #7: cost 0 inf + 69605 247.715 * * [simplify]: Extracting #8: cost 0 inf + 69525 247.729 * [simplify]: Simplified to (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 247.729 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* 1 (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 247.729 * * * * [progress]: [ 193 / 4148 ] simplifiying candidate # 247.729 * [simplify]: Simplifying (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 247.729 * * [simplify]: iters left: 6 (7 enodes) 247.732 * * [simplify]: iters left: 5 (25 enodes) 247.736 * * [simplify]: iters left: 4 (29 enodes) 247.740 * * [simplify]: Extracting #0: cost 1 inf + 0 247.741 * * [simplify]: Extracting #1: cost 6 inf + 0 247.741 * * [simplify]: Extracting #2: cost 9 inf + 1 247.741 * * [simplify]: Extracting #3: cost 11 inf + 1 247.741 * * [simplify]: Extracting #4: cost 13 inf + 1 247.741 * * [simplify]: Extracting #5: cost 12 inf + 2 247.741 * * [simplify]: Extracting #6: cost 8 inf + 326 247.741 * * [simplify]: Extracting #7: cost 5 inf + 1010 247.741 * * [simplify]: Extracting #8: cost 1 inf + 1976 247.741 * * [simplify]: Extracting #9: cost 0 inf + 2258 247.742 * [simplify]: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 247.742 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 247.742 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1)) 247.742 * * [simplify]: iters left: 6 (13 enodes) 247.746 * * [simplify]: iters left: 5 (46 enodes) 247.763 * * [simplify]: iters left: 4 (87 enodes) 247.796 * * [simplify]: iters left: 3 (182 enodes) 247.861 * * [simplify]: iters left: 2 (320 enodes) 248.004 * * [simplify]: iters left: 1 (449 enodes) 248.287 * * [simplify]: Extracting #0: cost 1 inf + 0 248.288 * * [simplify]: Extracting #1: cost 30 inf + 0 248.288 * * [simplify]: Extracting #2: cost 58 inf + 44 248.289 * * [simplify]: Extracting #3: cost 50 inf + 562 248.291 * * [simplify]: Extracting #4: cost 41 inf + 1360 248.293 * * [simplify]: Extracting #5: cost 26 inf + 4151 248.299 * * [simplify]: Extracting #6: cost 0 inf + 9851 248.306 * * [simplify]: Extracting #7: cost 0 inf + 9810 248.312 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 248.312 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ 1 (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.313 * * * * [progress]: [ 194 / 4148 ] simplifiying candidate # 248.313 * [simplify]: Simplifying (/ (* (cos th) a1) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 248.313 * * [simplify]: iters left: 6 (14 enodes) 248.321 * * [simplify]: iters left: 5 (52 enodes) 248.341 * * [simplify]: iters left: 4 (84 enodes) 248.358 * * [simplify]: iters left: 3 (101 enodes) 248.373 * * [simplify]: iters left: 2 (109 enodes) 248.400 * * [simplify]: iters left: 1 (113 enodes) 248.414 * * [simplify]: Extracting #0: cost 1 inf + 0 248.414 * * [simplify]: Extracting #1: cost 16 inf + 0 248.414 * * [simplify]: Extracting #2: cost 30 inf + 1 248.414 * * [simplify]: Extracting #3: cost 31 inf + 124 248.414 * * [simplify]: Extracting #4: cost 31 inf + 329 248.414 * * [simplify]: Extracting #5: cost 33 inf + 329 248.415 * * [simplify]: Extracting #6: cost 35 inf + 329 248.415 * * [simplify]: Extracting #7: cost 32 inf + 412 248.415 * * [simplify]: Extracting #8: cost 26 inf + 1539 248.416 * * [simplify]: Extracting #9: cost 17 inf + 4593 248.417 * * [simplify]: Extracting #10: cost 1 inf + 11448 248.419 * * [simplify]: Extracting #11: cost 0 inf + 11910 248.420 * [simplify]: Simplified to (* (/ (cos th) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ a1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 248.420 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (/ (cos th) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ a1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.421 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 248.421 * * [simplify]: iters left: 6 (12 enodes) 248.425 * * [simplify]: iters left: 5 (42 enodes) 248.434 * * [simplify]: iters left: 4 (71 enodes) 248.451 * * [simplify]: iters left: 3 (91 enodes) 248.479 * * [simplify]: iters left: 2 (121 enodes) 248.518 * * [simplify]: iters left: 1 (137 enodes) 248.538 * * [simplify]: Extracting #0: cost 1 inf + 0 248.538 * * [simplify]: Extracting #1: cost 12 inf + 0 248.538 * * [simplify]: Extracting #2: cost 22 inf + 1 248.538 * * [simplify]: Extracting #3: cost 27 inf + 1 248.538 * * [simplify]: Extracting #4: cost 28 inf + 2 248.538 * * [simplify]: Extracting #5: cost 18 inf + 1533 248.539 * * [simplify]: Extracting #6: cost 5 inf + 5434 248.540 * * [simplify]: Extracting #7: cost 0 inf + 7322 248.542 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 248.542 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cos th) a1) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.542 * * * * [progress]: [ 195 / 4148 ] simplifiying candidate # 248.542 * [simplify]: Simplifying (/ (* (cos th) a1) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 248.543 * * [simplify]: iters left: 6 (13 enodes) 248.548 * * [simplify]: iters left: 5 (44 enodes) 248.555 * * [simplify]: iters left: 4 (61 enodes) 248.564 * * [simplify]: iters left: 3 (67 enodes) 248.576 * * [simplify]: iters left: 2 (69 enodes) 248.590 * * [simplify]: iters left: 1 (72 enodes) 248.600 * * [simplify]: Extracting #0: cost 1 inf + 0 248.600 * * [simplify]: Extracting #1: cost 10 inf + 0 248.600 * * [simplify]: Extracting #2: cost 19 inf + 1 248.600 * * [simplify]: Extracting #3: cost 23 inf + 2 248.600 * * [simplify]: Extracting #4: cost 24 inf + 64 248.600 * * [simplify]: Extracting #5: cost 24 inf + 227 248.600 * * [simplify]: Extracting #6: cost 21 inf + 371 248.601 * * [simplify]: Extracting #7: cost 8 inf + 3371 248.601 * * [simplify]: Extracting #8: cost 0 inf + 5766 248.602 * [simplify]: Simplified to (/ (cos th) (/ (fabs (cbrt (cbrt (sqrt 2)))) a1)) 248.602 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (/ (fabs (cbrt (cbrt (sqrt 2)))) a1)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.602 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 248.602 * * [simplify]: iters left: 6 (12 enodes) 248.606 * * [simplify]: iters left: 5 (42 enodes) 248.614 * * [simplify]: iters left: 4 (72 enodes) 248.634 * * [simplify]: iters left: 3 (92 enodes) 248.650 * * [simplify]: iters left: 2 (122 enodes) 248.677 * * [simplify]: iters left: 1 (136 enodes) 248.712 * * [simplify]: Extracting #0: cost 1 inf + 0 248.712 * * [simplify]: Extracting #1: cost 12 inf + 0 248.712 * * [simplify]: Extracting #2: cost 23 inf + 1 248.712 * * [simplify]: Extracting #3: cost 28 inf + 1 248.712 * * [simplify]: Extracting #4: cost 28 inf + 2 248.713 * * [simplify]: Extracting #5: cost 18 inf + 1533 248.714 * * [simplify]: Extracting #6: cost 5 inf + 4914 248.716 * * [simplify]: Extracting #7: cost 0 inf + 6362 248.719 * [simplify]: Simplified to (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2))))) 248.719 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cos th) a1) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.719 * * * * [progress]: [ 196 / 4148 ] simplifiying candidate # 248.719 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 248.720 * * [simplify]: iters left: 6 (13 enodes) 248.727 * * [simplify]: iters left: 5 (48 enodes) 248.742 * * [simplify]: iters left: 4 (60 enodes) 248.759 * * [simplify]: iters left: 3 (76 enodes) 248.781 * * [simplify]: iters left: 2 (87 enodes) 248.801 * * [simplify]: iters left: 1 (100 enodes) 248.814 * * [simplify]: Extracting #0: cost 1 inf + 0 248.815 * * [simplify]: Extracting #1: cost 12 inf + 0 248.815 * * [simplify]: Extracting #2: cost 20 inf + 2 248.815 * * [simplify]: Extracting #3: cost 21 inf + 3 248.815 * * [simplify]: Extracting #4: cost 22 inf + 64 248.815 * * [simplify]: Extracting #5: cost 17 inf + 371 248.815 * * [simplify]: Extracting #6: cost 7 inf + 2547 248.816 * * [simplify]: Extracting #7: cost 0 inf + 4604 248.817 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) 248.817 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.817 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 248.817 * * [simplify]: iters left: 6 (11 enodes) 248.821 * * [simplify]: iters left: 5 (41 enodes) 248.829 * * [simplify]: iters left: 4 (63 enodes) 248.847 * * [simplify]: iters left: 3 (78 enodes) 248.860 * * [simplify]: iters left: 2 (97 enodes) 248.880 * * [simplify]: iters left: 1 (123 enodes) 248.896 * * [simplify]: Extracting #0: cost 1 inf + 0 248.897 * * [simplify]: Extracting #1: cost 12 inf + 0 248.897 * * [simplify]: Extracting #2: cost 21 inf + 1 248.897 * * [simplify]: Extracting #3: cost 23 inf + 1 248.897 * * [simplify]: Extracting #4: cost 22 inf + 2 248.897 * * [simplify]: Extracting #5: cost 11 inf + 1815 248.898 * * [simplify]: Extracting #6: cost 0 inf + 4514 248.900 * [simplify]: Simplified to (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 248.900 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.900 * * * * [progress]: [ 197 / 4148 ] simplifiying candidate # 248.901 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 248.901 * * [simplify]: iters left: 6 (12 enodes) 248.909 * * [simplify]: iters left: 5 (43 enodes) 248.921 * * [simplify]: iters left: 4 (51 enodes) 248.936 * * [simplify]: iters left: 3 (68 enodes) 248.955 * * [simplify]: iters left: 2 (78 enodes) 248.979 * * [simplify]: iters left: 1 (91 enodes) 248.996 * * [simplify]: Extracting #0: cost 1 inf + 0 248.996 * * [simplify]: Extracting #1: cost 12 inf + 0 248.997 * * [simplify]: Extracting #2: cost 20 inf + 2 248.997 * * [simplify]: Extracting #3: cost 21 inf + 3 248.997 * * [simplify]: Extracting #4: cost 22 inf + 64 248.997 * * [simplify]: Extracting #5: cost 17 inf + 371 248.997 * * [simplify]: Extracting #6: cost 5 inf + 3214 248.998 * * [simplify]: Extracting #7: cost 0 inf + 4604 248.999 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) 248.999 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 248.999 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 248.999 * * [simplify]: iters left: 6 (11 enodes) 249.003 * * [simplify]: iters left: 5 (41 enodes) 249.010 * * [simplify]: iters left: 4 (63 enodes) 249.021 * * [simplify]: iters left: 3 (78 enodes) 249.034 * * [simplify]: iters left: 2 (97 enodes) 249.051 * * [simplify]: iters left: 1 (123 enodes) 249.074 * * [simplify]: Extracting #0: cost 1 inf + 0 249.074 * * [simplify]: Extracting #1: cost 12 inf + 0 249.074 * * [simplify]: Extracting #2: cost 21 inf + 1 249.074 * * [simplify]: Extracting #3: cost 23 inf + 1 249.074 * * [simplify]: Extracting #4: cost 22 inf + 2 249.074 * * [simplify]: Extracting #5: cost 11 inf + 1815 249.075 * * [simplify]: Extracting #6: cost 0 inf + 4514 249.076 * [simplify]: Simplified to (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 249.076 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (cos th) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (* (/ 1 (cbrt (sqrt 2))) (/ 1 (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.076 * * * * [progress]: [ 198 / 4148 ] simplifiying candidate # 249.076 * [simplify]: Simplifying (/ (* (cos th) a1) (/ (cbrt (cbrt (sqrt 2))) 1)) 249.077 * * [simplify]: iters left: 6 (11 enodes) 249.080 * * [simplify]: iters left: 5 (38 enodes) 249.085 * * [simplify]: iters left: 4 (48 enodes) 249.093 * * [simplify]: iters left: 3 (65 enodes) 249.110 * * [simplify]: iters left: 2 (76 enodes) 249.131 * * [simplify]: iters left: 1 (89 enodes) 249.154 * * [simplify]: Extracting #0: cost 1 inf + 0 249.154 * * [simplify]: Extracting #1: cost 12 inf + 0 249.154 * * [simplify]: Extracting #2: cost 20 inf + 2 249.154 * * [simplify]: Extracting #3: cost 21 inf + 3 249.154 * * [simplify]: Extracting #4: cost 22 inf + 64 249.155 * * [simplify]: Extracting #5: cost 17 inf + 371 249.155 * * [simplify]: Extracting #6: cost 12 inf + 1097 249.156 * * [simplify]: Extracting #7: cost 1 inf + 4362 249.157 * * [simplify]: Extracting #8: cost 0 inf + 4604 249.159 * [simplify]: Simplified to (/ a1 (/ (cbrt (cbrt (sqrt 2))) (cos th))) 249.159 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) (cos th))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.159 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) 249.159 * * [simplify]: iters left: 6 (10 enodes) 249.165 * * [simplify]: iters left: 5 (36 enodes) 249.181 * * [simplify]: iters left: 4 (58 enodes) 249.199 * * [simplify]: iters left: 3 (73 enodes) 249.222 * * [simplify]: iters left: 2 (91 enodes) 249.255 * * [simplify]: iters left: 1 (116 enodes) 249.287 * * [simplify]: Extracting #0: cost 1 inf + 0 249.287 * * [simplify]: Extracting #1: cost 12 inf + 0 249.287 * * [simplify]: Extracting #2: cost 21 inf + 1 249.287 * * [simplify]: Extracting #3: cost 23 inf + 1 249.288 * * [simplify]: Extracting #4: cost 22 inf + 2 249.288 * * [simplify]: Extracting #5: cost 14 inf + 1092 249.289 * * [simplify]: Extracting #6: cost 1 inf + 4233 249.291 * * [simplify]: Extracting #7: cost 0 inf + 4514 249.293 * [simplify]: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 249.293 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cos th) a1) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.293 * * * * [progress]: [ 199 / 4148 ] simplifiying candidate # 249.294 * [simplify]: Simplifying (/ (* (cos th) a1) 1) 249.294 * * [simplify]: iters left: 5 (6 enodes) 249.297 * * [simplify]: iters left: 4 (21 enodes) 249.304 * * [simplify]: iters left: 3 (31 enodes) 249.316 * * [simplify]: iters left: 2 (38 enodes) 249.326 * * [simplify]: iters left: 1 (41 enodes) 249.337 * * [simplify]: Extracting #0: cost 1 inf + 0 249.337 * * [simplify]: Extracting #1: cost 7 inf + 0 249.337 * * [simplify]: Extracting #2: cost 8 inf + 44 249.337 * * [simplify]: Extracting #3: cost 6 inf + 87 249.337 * * [simplify]: Extracting #4: cost 1 inf + 515 249.338 * * [simplify]: Extracting #5: cost 0 inf + 617 249.338 * [simplify]: Simplified to (* a1 (cos th)) 249.338 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 (cos th)) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.339 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 249.339 * * [simplify]: iters left: 6 (11 enodes) 249.345 * * [simplify]: iters left: 5 (41 enodes) 249.353 * * [simplify]: iters left: 4 (78 enodes) 249.369 * * [simplify]: iters left: 3 (137 enodes) 249.409 * * [simplify]: iters left: 2 (214 enodes) 249.502 * * [simplify]: iters left: 1 (294 enodes) 249.574 * * [simplify]: Extracting #0: cost 1 inf + 0 249.574 * * [simplify]: Extracting #1: cost 18 inf + 0 249.574 * * [simplify]: Extracting #2: cost 33 inf + 1 249.574 * * [simplify]: Extracting #3: cost 35 inf + 1 249.574 * * [simplify]: Extracting #4: cost 34 inf + 2 249.575 * * [simplify]: Extracting #5: cost 23 inf + 2016 249.576 * * [simplify]: Extracting #6: cost 0 inf + 7972 249.578 * [simplify]: Simplified to (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) 249.578 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (* a1 (cos th)) (* (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.578 * * * * [progress]: [ 200 / 4148 ] simplifiying candidate # 249.579 * [simplify]: Simplifying (/ (* (cos th) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 249.579 * * [simplify]: iters left: 6 (10 enodes) 249.581 * * [simplify]: iters left: 5 (38 enodes) 249.594 * * [simplify]: iters left: 4 (60 enodes) 249.612 * * [simplify]: iters left: 3 (76 enodes) 249.632 * * [simplify]: iters left: 2 (84 enodes) 249.655 * * [simplify]: iters left: 1 (88 enodes) 249.674 * * [simplify]: Extracting #0: cost 1 inf + 0 249.674 * * [simplify]: Extracting #1: cost 16 inf + 0 249.674 * * [simplify]: Extracting #2: cost 30 inf + 1 249.674 * * [simplify]: Extracting #3: cost 30 inf + 63 249.675 * * [simplify]: Extracting #4: cost 29 inf + 328 249.675 * * [simplify]: Extracting #5: cost 27 inf + 370 249.675 * * [simplify]: Extracting #6: cost 13 inf + 3714 249.676 * * [simplify]: Extracting #7: cost 0 inf + 7661 249.677 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 249.677 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.677 * [simplify]: Simplifying (/ (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ 1 1)) 249.678 * * [simplify]: iters left: 6 (9 enodes) 249.680 * * [simplify]: iters left: 5 (31 enodes) 249.687 * * [simplify]: iters left: 4 (48 enodes) 249.694 * * [simplify]: iters left: 3 (57 enodes) 249.704 * * [simplify]: iters left: 2 (64 enodes) 249.719 * * [simplify]: Extracting #0: cost 1 inf + 0 249.719 * * [simplify]: Extracting #1: cost 6 inf + 0 249.719 * * [simplify]: Extracting #2: cost 9 inf + 1 249.719 * * [simplify]: Extracting #3: cost 11 inf + 1 249.719 * * [simplify]: Extracting #4: cost 10 inf + 2 249.719 * * [simplify]: Extracting #5: cost 1 inf + 1214 249.720 * * [simplify]: Extracting #6: cost 0 inf + 1376 249.721 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 249.721 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (* (cos th) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.721 * * * * [progress]: [ 201 / 4148 ] simplifiying candidate # 249.721 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 249.722 * * [simplify]: iters left: 6 (16 enodes) 249.730 * * [simplify]: iters left: 5 (62 enodes) 249.752 * * [simplify]: iters left: 4 (130 enodes) 249.780 * * [simplify]: iters left: 3 (286 enodes) 249.870 * * [simplify]: Extracting #0: cost 1 inf + 0 249.870 * * [simplify]: Extracting #1: cost 73 inf + 0 249.871 * * [simplify]: Extracting #2: cost 137 inf + 1 249.872 * * [simplify]: Extracting #3: cost 145 inf + 165 249.874 * * [simplify]: Extracting #4: cost 138 inf + 1158 249.880 * * [simplify]: Extracting #5: cost 86 inf + 19259 249.898 * * [simplify]: Extracting #6: cost 11 inf + 52559 249.911 * * [simplify]: Extracting #7: cost 0 inf + 57804 249.922 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))))) 249.923 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (* a1 (cos th)) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))))) (/ 1 (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.923 * [simplify]: Simplifying (/ 1 (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 249.923 * * [simplify]: iters left: 6 (9 enodes) 249.926 * * [simplify]: iters left: 5 (29 enodes) 249.931 * * [simplify]: iters left: 4 (39 enodes) 249.937 * * [simplify]: iters left: 3 (40 enodes) 249.943 * * [simplify]: Extracting #0: cost 1 inf + 0 249.943 * * [simplify]: Extracting #1: cost 4 inf + 0 249.944 * * [simplify]: Extracting #2: cost 5 inf + 1 249.944 * * [simplify]: Extracting #3: cost 8 inf + 1 249.944 * * [simplify]: Extracting #4: cost 11 inf + 1 249.944 * * [simplify]: Extracting #5: cost 13 inf + 1 249.944 * * [simplify]: Extracting #6: cost 15 inf + 1 249.944 * * [simplify]: Extracting #7: cost 14 inf + 2 249.944 * * [simplify]: Extracting #8: cost 11 inf + 205 249.944 * * [simplify]: Extracting #9: cost 6 inf + 1331 249.944 * * [simplify]: Extracting #10: cost 0 inf + 3060 249.945 * [simplify]: Simplified to (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 249.945 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 249.945 * * * * [progress]: [ 202 / 4148 ] simplifiying candidate # 249.945 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 249.945 * * [simplify]: iters left: 6 (15 enodes) 249.952 * * [simplify]: iters left: 5 (57 enodes) 249.963 * * [simplify]: iters left: 4 (111 enodes) 249.999 * * [simplify]: iters left: 3 (189 enodes) 250.065 * * [simplify]: iters left: 2 (287 enodes) 250.147 * * [simplify]: iters left: 1 (326 enodes) 250.200 * * [simplify]: Extracting #0: cost 1 inf + 0 250.200 * * [simplify]: Extracting #1: cost 34 inf + 0 250.200 * * [simplify]: Extracting #2: cost 68 inf + 1 250.201 * * [simplify]: Extracting #3: cost 72 inf + 63 250.201 * * [simplify]: Extracting #4: cost 57 inf + 2128 250.203 * * [simplify]: Extracting #5: cost 27 inf + 10244 250.206 * * [simplify]: Extracting #6: cost 4 inf + 18153 250.210 * * [simplify]: Extracting #7: cost 0 inf + 19540 250.213 * [simplify]: Simplified to (/ (/ a1 (fabs (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))) 250.213 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ a1 (fabs (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))) (/ 1 (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 250.214 * [simplify]: Simplifying (/ 1 (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 250.214 * * [simplify]: iters left: 6 (9 enodes) 250.217 * * [simplify]: iters left: 5 (29 enodes) 250.222 * * [simplify]: iters left: 4 (40 enodes) 250.229 * * [simplify]: iters left: 3 (41 enodes) 250.235 * * [simplify]: Extracting #0: cost 1 inf + 0 250.235 * * [simplify]: Extracting #1: cost 4 inf + 0 250.235 * * [simplify]: Extracting #2: cost 6 inf + 1 250.235 * * [simplify]: Extracting #3: cost 10 inf + 1 250.235 * * [simplify]: Extracting #4: cost 13 inf + 1 250.235 * * [simplify]: Extracting #5: cost 15 inf + 1 250.235 * * [simplify]: Extracting #6: cost 14 inf + 2 250.235 * * [simplify]: Extracting #7: cost 11 inf + 205 250.235 * * [simplify]: Extracting #8: cost 6 inf + 1251 250.236 * * [simplify]: Extracting #9: cost 0 inf + 2740 250.236 * [simplify]: Simplified to (/ 1 (fabs (cbrt (cbrt (sqrt 2))))) 250.236 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 250.236 * * * * [progress]: [ 203 / 4148 ] simplifiying candidate # 250.236 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 250.236 * * [simplify]: iters left: 6 (15 enodes) 250.243 * * [simplify]: iters left: 5 (61 enodes) 250.262 * * [simplify]: iters left: 4 (106 enodes) 250.297 * * [simplify]: iters left: 3 (208 enodes) 250.364 * * [simplify]: iters left: 2 (371 enodes) 250.620 * * [simplify]: Extracting #0: cost 1 inf + 0 250.621 * * [simplify]: Extracting #1: cost 72 inf + 0 250.621 * * [simplify]: Extracting #2: cost 123 inf + 2 250.622 * * [simplify]: Extracting #3: cost 121 inf + 268 250.622 * * [simplify]: Extracting #4: cost 112 inf + 1421 250.625 * * [simplify]: Extracting #5: cost 54 inf + 16894 250.638 * * [simplify]: Extracting #6: cost 2 inf + 33867 250.647 * * [simplify]: Extracting #7: cost 0 inf + 34432 250.657 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 250.657 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 250.657 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) 250.657 * * [simplify]: iters left: 6 (8 enodes) 250.660 * * [simplify]: iters left: 5 (28 enodes) 250.665 * * [simplify]: iters left: 4 (30 enodes) 250.670 * * [simplify]: iters left: 3 (33 enodes) 250.679 * * [simplify]: iters left: 2 (34 enodes) 250.687 * * [simplify]: Extracting #0: cost 1 inf + 0 250.687 * * [simplify]: Extracting #1: cost 4 inf + 0 250.687 * * [simplify]: Extracting #2: cost 5 inf + 1 250.687 * * [simplify]: Extracting #3: cost 7 inf + 1 250.687 * * [simplify]: Extracting #4: cost 9 inf + 1 250.687 * * [simplify]: Extracting #5: cost 8 inf + 2 250.687 * * [simplify]: Extracting #6: cost 4 inf + 406 250.687 * * [simplify]: Extracting #7: cost 0 inf + 1212 250.687 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 250.687 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (cbrt (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ 1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 250.688 * * * * [progress]: [ 204 / 4148 ] simplifiying candidate # 250.688 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 250.688 * * [simplify]: iters left: 6 (14 enodes) 250.692 * * [simplify]: iters left: 5 (56 enodes) 250.702 * * [simplify]: iters left: 4 (101 enodes) 250.732 * * [simplify]: iters left: 3 (206 enodes) 250.803 * * [simplify]: iters left: 2 (374 enodes) 251.056 * * [simplify]: Extracting #0: cost 1 inf + 0 251.056 * * [simplify]: Extracting #1: cost 71 inf + 0 251.057 * * [simplify]: Extracting #2: cost 122 inf + 2 251.058 * * [simplify]: Extracting #3: cost 120 inf + 227 251.060 * * [simplify]: Extracting #4: cost 111 inf + 1422 251.068 * * [simplify]: Extracting #5: cost 51 inf + 17957 251.077 * * [simplify]: Extracting #6: cost 2 inf + 33464 251.084 * * [simplify]: Extracting #7: cost 0 inf + 34230 251.091 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 251.092 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.092 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 251.092 * * [simplify]: iters left: 6 (8 enodes) 251.095 * * [simplify]: iters left: 5 (28 enodes) 251.100 * * [simplify]: iters left: 4 (30 enodes) 251.105 * * [simplify]: iters left: 3 (33 enodes) 251.109 * * [simplify]: iters left: 2 (34 enodes) 251.118 * * [simplify]: Extracting #0: cost 1 inf + 0 251.118 * * [simplify]: Extracting #1: cost 4 inf + 0 251.118 * * [simplify]: Extracting #2: cost 5 inf + 1 251.118 * * [simplify]: Extracting #3: cost 7 inf + 1 251.118 * * [simplify]: Extracting #4: cost 9 inf + 1 251.118 * * [simplify]: Extracting #5: cost 8 inf + 2 251.119 * * [simplify]: Extracting #6: cost 4 inf + 406 251.119 * * [simplify]: Extracting #7: cost 0 inf + 1212 251.119 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 251.119 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.120 * * * * [progress]: [ 205 / 4148 ] simplifiying candidate # 251.120 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 251.120 * * [simplify]: iters left: 6 (13 enodes) 251.127 * * [simplify]: iters left: 5 (51 enodes) 251.140 * * [simplify]: iters left: 4 (98 enodes) 251.158 * * [simplify]: iters left: 3 (210 enodes) 251.227 * * [simplify]: iters left: 2 (397 enodes) 251.506 * * [simplify]: Extracting #0: cost 1 inf + 0 251.506 * * [simplify]: Extracting #1: cost 67 inf + 0 251.507 * * [simplify]: Extracting #2: cost 118 inf + 2 251.508 * * [simplify]: Extracting #3: cost 116 inf + 227 251.510 * * [simplify]: Extracting #4: cost 110 inf + 956 251.515 * * [simplify]: Extracting #5: cost 56 inf + 15253 251.528 * * [simplify]: Extracting #6: cost 0 inf + 32739 251.543 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 251.543 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ 1 (/ (cbrt (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.544 * [simplify]: Simplifying (/ 1 (/ (cbrt (cbrt (sqrt 2))) 1)) 251.544 * * [simplify]: iters left: 6 (7 enodes) 251.548 * * [simplify]: iters left: 5 (23 enodes) 251.555 * * [simplify]: iters left: 4 (27 enodes) 251.559 * * [simplify]: Extracting #0: cost 1 inf + 0 251.559 * * [simplify]: Extracting #1: cost 4 inf + 0 251.559 * * [simplify]: Extracting #2: cost 5 inf + 1 251.560 * * [simplify]: Extracting #3: cost 7 inf + 1 251.560 * * [simplify]: Extracting #4: cost 9 inf + 1 251.560 * * [simplify]: Extracting #5: cost 8 inf + 2 251.560 * * [simplify]: Extracting #6: cost 4 inf + 326 251.560 * * [simplify]: Extracting #7: cost 2 inf + 769 251.560 * * [simplify]: Extracting #8: cost 0 inf + 1212 251.560 * [simplify]: Simplified to (/ 1 (cbrt (cbrt (sqrt 2)))) 251.560 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.560 * * * * [progress]: [ 206 / 4148 ] simplifiying candidate # 251.561 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 1) 251.561 * * [simplify]: iters left: 6 (11 enodes) 251.564 * * [simplify]: iters left: 5 (43 enodes) 251.574 * * [simplify]: iters left: 4 (84 enodes) 251.595 * * [simplify]: iters left: 3 (130 enodes) 251.639 * * [simplify]: iters left: 2 (179 enodes) 251.682 * * [simplify]: iters left: 1 (189 enodes) 251.699 * * [simplify]: Extracting #0: cost 1 inf + 0 251.699 * * [simplify]: Extracting #1: cost 19 inf + 0 251.699 * * [simplify]: Extracting #2: cost 34 inf + 2 251.700 * * [simplify]: Extracting #3: cost 33 inf + 106 251.700 * * [simplify]: Extracting #4: cost 25 inf + 659 251.701 * * [simplify]: Extracting #5: cost 5 inf + 4577 251.702 * * [simplify]: Extracting #6: cost 1 inf + 5526 251.703 * * [simplify]: Extracting #7: cost 0 inf + 5788 251.704 * [simplify]: Simplified to (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) 251.704 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.705 * [simplify]: Simplifying (/ 1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 251.705 * * [simplify]: iters left: 6 (8 enodes) 251.707 * * [simplify]: iters left: 5 (28 enodes) 251.712 * * [simplify]: iters left: 4 (41 enodes) 251.719 * * [simplify]: iters left: 3 (44 enodes) 251.731 * * [simplify]: iters left: 2 (45 enodes) 251.743 * * [simplify]: Extracting #0: cost 1 inf + 0 251.743 * * [simplify]: Extracting #1: cost 6 inf + 0 251.743 * * [simplify]: Extracting #2: cost 9 inf + 1 251.743 * * [simplify]: Extracting #3: cost 11 inf + 1 251.743 * * [simplify]: Extracting #4: cost 13 inf + 1 251.743 * * [simplify]: Extracting #5: cost 12 inf + 2 251.743 * * [simplify]: Extracting #6: cost 9 inf + 205 251.744 * * [simplify]: Extracting #7: cost 0 inf + 2258 251.744 * [simplify]: Simplified to (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 251.744 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)) (/ (/ 1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.745 * * * * [progress]: [ 207 / 4148 ] simplifiying candidate # 251.745 * [simplify]: Simplifying (/ (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 251.745 * * [simplify]: iters left: 6 (12 enodes) 251.751 * * [simplify]: iters left: 5 (48 enodes) 251.768 * * [simplify]: iters left: 4 (106 enodes) 251.800 * * [simplify]: iters left: 3 (261 enodes) 251.881 * * [simplify]: Extracting #0: cost 1 inf + 0 251.881 * * [simplify]: Extracting #1: cost 69 inf + 0 251.882 * * [simplify]: Extracting #2: cost 132 inf + 1 251.883 * * [simplify]: Extracting #3: cost 135 inf + 226 251.884 * * [simplify]: Extracting #4: cost 126 inf + 1780 251.891 * * [simplify]: Extracting #5: cost 40 inf + 27917 251.907 * * [simplify]: Extracting #6: cost 1 inf + 41545 251.923 * * [simplify]: Extracting #7: cost 0 inf + 41827 251.939 * [simplify]: Simplified to (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 251.939 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ 1 (/ 1 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.939 * [simplify]: Simplifying (/ 1 (/ 1 1)) 251.939 * * [simplify]: iters left: 4 (3 enodes) 251.941 * * [simplify]: iters left: 3 (7 enodes) 251.944 * * [simplify]: iters left: 2 (9 enodes) 251.946 * * [simplify]: Extracting #0: cost 1 inf + 0 251.946 * * [simplify]: Extracting #1: cost 0 inf + 1 251.946 * [simplify]: Simplified to 1 251.946 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (* (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) 1) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.946 * * * * [progress]: [ 208 / 4148 ] simplifiying candidate # 251.946 * * * * [progress]: [ 209 / 4148 ] simplifiying candidate # 251.947 * * * * [progress]: [ 210 / 4148 ] simplifiying candidate # 251.947 * * * * [progress]: [ 211 / 4148 ] simplifiying candidate # 251.947 * [simplify]: Simplifying (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 251.947 * * [simplify]: iters left: 6 (8 enodes) 251.952 * * [simplify]: iters left: 5 (26 enodes) 251.962 * * [simplify]: iters left: 4 (36 enodes) 251.969 * * [simplify]: iters left: 3 (37 enodes) 251.977 * * [simplify]: Extracting #0: cost 1 inf + 0 251.977 * * [simplify]: Extracting #1: cost 3 inf + 0 251.977 * * [simplify]: Extracting #2: cost 7 inf + 0 251.977 * * [simplify]: Extracting #3: cost 9 inf + 1 251.977 * * [simplify]: Extracting #4: cost 11 inf + 1 251.977 * * [simplify]: Extracting #5: cost 13 inf + 1 251.977 * * [simplify]: Extracting #6: cost 12 inf + 2 251.977 * * [simplify]: Extracting #7: cost 11 inf + 43 251.977 * * [simplify]: Extracting #8: cost 7 inf + 527 251.978 * * [simplify]: Extracting #9: cost 2 inf + 1773 251.978 * * [simplify]: Extracting #10: cost 0 inf + 2336 251.978 * [simplify]: Simplified to (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 251.978 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.978 * * * * [progress]: [ 212 / 4148 ] simplifiying candidate # 251.979 * [simplify]: Simplifying (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) 251.979 * * [simplify]: iters left: 6 (8 enodes) 251.981 * * [simplify]: iters left: 5 (26 enodes) 251.986 * * [simplify]: iters left: 4 (37 enodes) 251.991 * * [simplify]: iters left: 3 (38 enodes) 251.996 * * [simplify]: Extracting #0: cost 1 inf + 0 251.996 * * [simplify]: Extracting #1: cost 4 inf + 0 251.996 * * [simplify]: Extracting #2: cost 9 inf + 0 251.996 * * [simplify]: Extracting #3: cost 11 inf + 1 251.996 * * [simplify]: Extracting #4: cost 13 inf + 1 251.996 * * [simplify]: Extracting #5: cost 12 inf + 2 251.996 * * [simplify]: Extracting #6: cost 11 inf + 43 251.997 * * [simplify]: Extracting #7: cost 6 inf + 768 251.997 * * [simplify]: Extracting #8: cost 0 inf + 2176 251.997 * [simplify]: Simplified to (fabs (cbrt (cbrt (sqrt 2)))) 251.997 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 251.997 * * * * [progress]: [ 213 / 4148 ] simplifiying candidate # 251.998 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (cbrt 1)) 251.998 * * [simplify]: iters left: 5 (7 enodes) 252.003 * * [simplify]: iters left: 4 (23 enodes) 252.010 * * [simplify]: iters left: 3 (25 enodes) 252.017 * * [simplify]: iters left: 2 (27 enodes) 252.024 * * [simplify]: Extracting #0: cost 1 inf + 0 252.025 * * [simplify]: Extracting #1: cost 4 inf + 0 252.025 * * [simplify]: Extracting #2: cost 5 inf + 1 252.025 * * [simplify]: Extracting #3: cost 7 inf + 1 252.025 * * [simplify]: Extracting #4: cost 6 inf + 2 252.025 * * [simplify]: Extracting #5: cost 1 inf + 527 252.025 * * [simplify]: Extracting #6: cost 0 inf + 728 252.025 * [simplify]: Simplified to (cbrt (cbrt (sqrt 2))) 252.025 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.026 * * * * [progress]: [ 214 / 4148 ] simplifiying candidate # 252.026 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) (sqrt 1)) 252.026 * * [simplify]: iters left: 5 (7 enodes) 252.031 * * [simplify]: iters left: 4 (23 enodes) 252.038 * * [simplify]: iters left: 3 (25 enodes) 252.047 * * [simplify]: iters left: 2 (27 enodes) 252.054 * * [simplify]: Extracting #0: cost 1 inf + 0 252.054 * * [simplify]: Extracting #1: cost 4 inf + 0 252.054 * * [simplify]: Extracting #2: cost 5 inf + 1 252.054 * * [simplify]: Extracting #3: cost 7 inf + 1 252.054 * * [simplify]: Extracting #4: cost 6 inf + 2 252.055 * * [simplify]: Extracting #5: cost 1 inf + 527 252.055 * * [simplify]: Extracting #6: cost 0 inf + 728 252.055 * [simplify]: Simplified to (cbrt (cbrt (sqrt 2))) 252.055 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.055 * * * * [progress]: [ 215 / 4148 ] simplifiying candidate # 252.056 * [simplify]: Simplifying (/ (cbrt (cbrt (sqrt 2))) 1) 252.056 * * [simplify]: iters left: 5 (6 enodes) 252.059 * * [simplify]: iters left: 4 (18 enodes) 252.062 * * [simplify]: iters left: 3 (20 enodes) 252.065 * * [simplify]: Extracting #0: cost 1 inf + 0 252.065 * * [simplify]: Extracting #1: cost 4 inf + 0 252.065 * * [simplify]: Extracting #2: cost 5 inf + 1 252.065 * * [simplify]: Extracting #3: cost 7 inf + 1 252.065 * * [simplify]: Extracting #4: cost 6 inf + 2 252.065 * * [simplify]: Extracting #5: cost 0 inf + 728 252.066 * [simplify]: Simplified to (cbrt (cbrt (sqrt 2))) 252.066 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) 1)) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.066 * * * * [progress]: [ 216 / 4148 ] simplifiying candidate # 252.066 * [simplify]: Simplifying (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) 252.066 * * [simplify]: iters left: 6 (7 enodes) 252.068 * * [simplify]: iters left: 5 (23 enodes) 252.072 * * [simplify]: iters left: 4 (33 enodes) 252.078 * * [simplify]: iters left: 3 (34 enodes) 252.083 * * [simplify]: Extracting #0: cost 1 inf + 0 252.083 * * [simplify]: Extracting #1: cost 5 inf + 0 252.083 * * [simplify]: Extracting #2: cost 7 inf + 1 252.083 * * [simplify]: Extracting #3: cost 9 inf + 1 252.083 * * [simplify]: Extracting #4: cost 11 inf + 1 252.083 * * [simplify]: Extracting #5: cost 10 inf + 2 252.083 * * [simplify]: Extracting #6: cost 1 inf + 1453 252.083 * * [simplify]: Extracting #7: cost 0 inf + 1694 252.084 * [simplify]: Simplified to (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 252.084 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) 1) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.084 * * * * [progress]: [ 217 / 4148 ] simplifiying candidate # 252.084 * [simplify]: Simplifying (/ 1 1) 252.084 * * [simplify]: iters left: 2 (2 enodes) 252.085 * * [simplify]: iters left: 1 (6 enodes) 252.087 * * [simplify]: Extracting #0: cost 1 inf + 0 252.087 * * [simplify]: Extracting #1: cost 0 inf + 1 252.087 * [simplify]: Simplified to 1 252.087 * [simplify]: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (/ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.088 * * * * [progress]: [ 218 / 4148 ] simplifiying candidate # 252.088 * [simplify]: Simplifying (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 252.088 * * [simplify]: iters left: 6 (13 enodes) 252.093 * * [simplify]: iters left: 5 (46 enodes) 252.110 * * [simplify]: iters left: 4 (76 enodes) 252.136 * * [simplify]: iters left: 3 (130 enodes) 252.161 * * [simplify]: iters left: 2 (181 enodes) 252.213 * * [simplify]: iters left: 1 (250 enodes) 252.289 * * [simplify]: Extracting #0: cost 1 inf + 0 252.289 * * [simplify]: Extracting #1: cost 3 inf + 0 252.289 * * [simplify]: Extracting #2: cost 5 inf + 0 252.289 * * [simplify]: Extracting #3: cost 25 inf + 0 252.289 * * [simplify]: Extracting #4: cost 42 inf + 2 252.289 * * [simplify]: Extracting #5: cost 42 inf + 64 252.290 * * [simplify]: Extracting #6: cost 37 inf + 371 252.290 * * [simplify]: Extracting #7: cost 12 inf + 5280 252.292 * * [simplify]: Extracting #8: cost 2 inf + 8166 252.294 * * [simplify]: Extracting #9: cost 0 inf + 8972 252.296 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) 252.296 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.296 * * * * [progress]: [ 219 / 4148 ] simplifiying candidate # 252.296 * [simplify]: Simplifying (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 252.296 * * [simplify]: iters left: 6 (12 enodes) 252.300 * * [simplify]: iters left: 5 (43 enodes) 252.313 * * [simplify]: iters left: 4 (73 enodes) 252.328 * * [simplify]: iters left: 3 (127 enodes) 252.352 * * [simplify]: iters left: 2 (176 enodes) 252.425 * * [simplify]: iters left: 1 (245 enodes) 252.523 * * [simplify]: Extracting #0: cost 1 inf + 0 252.523 * * [simplify]: Extracting #1: cost 3 inf + 0 252.523 * * [simplify]: Extracting #2: cost 23 inf + 0 252.523 * * [simplify]: Extracting #3: cost 41 inf + 2 252.524 * * [simplify]: Extracting #4: cost 40 inf + 125 252.524 * * [simplify]: Extracting #5: cost 36 inf + 371 252.525 * * [simplify]: Extracting #6: cost 14 inf + 4452 252.528 * * [simplify]: Extracting #7: cost 2 inf + 7683 252.530 * * [simplify]: Extracting #8: cost 0 inf + 8248 252.532 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) 252.532 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.533 * * * * [progress]: [ 220 / 4148 ] simplifiying candidate # 252.533 * [simplify]: Simplifying (/ (cos th) (* (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 252.533 * * [simplify]: iters left: 6 (11 enodes) 252.536 * * [simplify]: iters left: 5 (37 enodes) 252.542 * * [simplify]: iters left: 4 (49 enodes) 252.549 * * [simplify]: iters left: 3 (50 enodes) 252.559 * * [simplify]: Extracting #0: cost 1 inf + 0 252.559 * * [simplify]: Extracting #1: cost 6 inf + 0 252.559 * * [simplify]: Extracting #2: cost 12 inf + 0 252.559 * * [simplify]: Extracting #3: cost 15 inf + 1 252.559 * * [simplify]: Extracting #4: cost 16 inf + 63 252.559 * * [simplify]: Extracting #5: cost 17 inf + 124 252.559 * * [simplify]: Extracting #6: cost 15 inf + 166 252.560 * * [simplify]: Extracting #7: cost 9 inf + 934 252.560 * * [simplify]: Extracting #8: cost 3 inf + 2542 252.561 * * [simplify]: Extracting #9: cost 0 inf + 3587 252.562 * [simplify]: Simplified to (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 252.562 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (* (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (cbrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.562 * * * * [progress]: [ 221 / 4148 ] simplifiying candidate # 252.563 * [simplify]: Simplifying (/ (cos th) (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) 252.563 * * [simplify]: iters left: 6 (10 enodes) 252.569 * * [simplify]: iters left: 5 (32 enodes) 252.580 * * [simplify]: iters left: 4 (43 enodes) 252.593 * * [simplify]: iters left: 3 (44 enodes) 252.604 * * [simplify]: Extracting #0: cost 1 inf + 0 252.604 * * [simplify]: Extracting #1: cost 4 inf + 0 252.604 * * [simplify]: Extracting #2: cost 9 inf + 0 252.604 * * [simplify]: Extracting #3: cost 13 inf + 1 252.604 * * [simplify]: Extracting #4: cost 14 inf + 63 252.604 * * [simplify]: Extracting #5: cost 11 inf + 166 252.604 * * [simplify]: Extracting #6: cost 1 inf + 1779 252.605 * * [simplify]: Extracting #7: cost 0 inf + 1941 252.605 * [simplify]: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) 252.605 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (sqrt (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.605 * * * * [progress]: [ 222 / 4148 ] simplifiying candidate # 252.605 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (* (cbrt 1) (cbrt 1)))) 252.605 * * [simplify]: iters left: 6 (10 enodes) 252.611 * * [simplify]: iters left: 5 (36 enodes) 252.617 * * [simplify]: iters left: 4 (38 enodes) 252.622 * * [simplify]: Extracting #0: cost 1 inf + 0 252.622 * * [simplify]: Extracting #1: cost 5 inf + 0 252.622 * * [simplify]: Extracting #2: cost 8 inf + 1 252.622 * * [simplify]: Extracting #3: cost 9 inf + 2 252.622 * * [simplify]: Extracting #4: cost 6 inf + 125 252.622 * * [simplify]: Extracting #5: cost 2 inf + 630 252.623 * * [simplify]: Extracting #6: cost 0 inf + 893 252.623 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 252.623 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (/ (cbrt (sqrt 2)) (cbrt 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.623 * * * * [progress]: [ 223 / 4148 ] simplifiying candidate # 252.623 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) (sqrt 1))) 252.623 * * [simplify]: iters left: 6 (9 enodes) 252.627 * * [simplify]: iters left: 5 (31 enodes) 252.635 * * [simplify]: iters left: 4 (33 enodes) 252.644 * * [simplify]: iters left: 3 (36 enodes) 252.653 * * [simplify]: iters left: 2 (39 enodes) 252.662 * * [simplify]: iters left: 1 (41 enodes) 252.671 * * [simplify]: Extracting #0: cost 1 inf + 0 252.671 * * [simplify]: Extracting #1: cost 5 inf + 0 252.671 * * [simplify]: Extracting #2: cost 8 inf + 1 252.671 * * [simplify]: Extracting #3: cost 9 inf + 2 252.671 * * [simplify]: Extracting #4: cost 6 inf + 125 252.672 * * [simplify]: Extracting #5: cost 1 inf + 852 252.672 * * [simplify]: Extracting #6: cost 0 inf + 893 252.672 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 252.672 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (/ (cbrt (sqrt 2)) (sqrt 1))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.673 * * * * [progress]: [ 224 / 4148 ] simplifiying candidate # 252.673 * [simplify]: Simplifying (/ (cos th) (/ (cbrt (sqrt 2)) 1)) 252.673 * * [simplify]: iters left: 6 (8 enodes) 252.677 * * [simplify]: iters left: 5 (26 enodes) 252.685 * * [simplify]: iters left: 4 (30 enodes) 252.694 * * [simplify]: iters left: 3 (33 enodes) 252.703 * * [simplify]: iters left: 2 (34 enodes) 252.711 * * [simplify]: iters left: 1 (36 enodes) 252.720 * * [simplify]: Extracting #0: cost 1 inf + 0 252.720 * * [simplify]: Extracting #1: cost 6 inf + 0 252.720 * * [simplify]: Extracting #2: cost 10 inf + 1 252.720 * * [simplify]: Extracting #3: cost 11 inf + 2 252.720 * * [simplify]: Extracting #4: cost 8 inf + 105 252.721 * * [simplify]: Extracting #5: cost 3 inf + 671 252.721 * * [simplify]: Extracting #6: cost 0 inf + 1337 252.721 * [simplify]: Simplified to (/ (cos th) (cbrt (sqrt 2))) 252.722 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (cbrt (sqrt 2))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (/ (cbrt (sqrt 2)) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.722 * * * * [progress]: [ 225 / 4148 ] simplifiying candidate # 252.722 * [simplify]: Simplifying (/ (cos th) 1) 252.722 * * [simplify]: iters left: 3 (4 enodes) 252.725 * * [simplify]: iters left: 2 (12 enodes) 252.729 * * [simplify]: iters left: 1 (14 enodes) 252.733 * * [simplify]: Extracting #0: cost 1 inf + 0 252.733 * * [simplify]: Extracting #1: cost 4 inf + 0 252.733 * * [simplify]: Extracting #2: cost 2 inf + 2 252.733 * * [simplify]: Extracting #3: cost 1 inf + 63 252.733 * * [simplify]: Extracting #4: cost 0 inf + 124 252.733 * [simplify]: Simplified to (cos th) 252.733 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (cos th) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.733 * * * * [progress]: [ 226 / 4148 ] simplifiying candidate # 252.734 * [simplify]: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 252.734 * * [simplify]: iters left: 6 (7 enodes) 252.737 * * [simplify]: iters left: 5 (23 enodes) 252.744 * * [simplify]: iters left: 4 (25 enodes) 252.751 * * [simplify]: Extracting #0: cost 1 inf + 0 252.751 * * [simplify]: Extracting #1: cost 6 inf + 0 252.751 * * [simplify]: Extracting #2: cost 12 inf + 0 252.751 * * [simplify]: Extracting #3: cost 13 inf + 1 252.751 * * [simplify]: Extracting #4: cost 8 inf + 206 252.751 * * [simplify]: Extracting #5: cost 4 inf + 831 252.752 * * [simplify]: Extracting #6: cost 1 inf + 1476 252.752 * * [simplify]: Extracting #7: cost 0 inf + 1738 252.753 * [simplify]: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 252.753 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ a1 (/ 1 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.753 * * * * [progress]: [ 227 / 4148 ] simplifiying candidate # 252.753 * * * * [progress]: [ 228 / 4148 ] simplifiying candidate # 252.753 * [simplify]: Simplifying (* (cos th) a1) 252.753 * * [simplify]: iters left: 3 (4 enodes) 252.755 * * [simplify]: iters left: 2 (13 enodes) 252.758 * * [simplify]: Extracting #0: cost 1 inf + 0 252.758 * * [simplify]: Extracting #1: cost 4 inf + 0 252.758 * * [simplify]: Extracting #2: cost 5 inf + 1 252.758 * * [simplify]: Extracting #3: cost 4 inf + 2 252.758 * * [simplify]: Extracting #4: cost 0 inf + 328 252.758 * [simplify]: Simplified to (* a1 (cos th)) 252.758 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (* a1 (cos th)) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ 1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.758 * * * * [progress]: [ 229 / 4148 ] simplifiying candidate # 252.758 * [simplify]: Simplifying (/ (* (cos th) a1) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 252.759 * * [simplify]: iters left: 6 (9 enodes) 252.763 * * [simplify]: iters left: 5 (35 enodes) 252.773 * * [simplify]: iters left: 4 (57 enodes) 252.790 * * [simplify]: iters left: 3 (73 enodes) 252.807 * * [simplify]: iters left: 2 (81 enodes) 252.825 * * [simplify]: iters left: 1 (85 enodes) 252.835 * * [simplify]: Extracting #0: cost 1 inf + 0 252.835 * * [simplify]: Extracting #1: cost 16 inf + 0 252.835 * * [simplify]: Extracting #2: cost 30 inf + 1 252.836 * * [simplify]: Extracting #3: cost 30 inf + 63 252.836 * * [simplify]: Extracting #4: cost 24 inf + 411 252.836 * * [simplify]: Extracting #5: cost 6 inf + 4065 252.837 * * [simplify]: Extracting #6: cost 0 inf + 5499 252.838 * [simplify]: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) 252.838 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.838 * * * * [progress]: [ 230 / 4148 ] simplifiying candidate # 252.838 * * * * [progress]: [ 231 / 4148 ] simplifiying candidate # 252.839 * [simplify]: Simplifying (* (cos th) a1) 252.839 * * [simplify]: iters left: 3 (4 enodes) 252.839 * * [simplify]: iters left: 2 (13 enodes) 252.841 * * [simplify]: Extracting #0: cost 1 inf + 0 252.841 * * [simplify]: Extracting #1: cost 4 inf + 0 252.841 * * [simplify]: Extracting #2: cost 5 inf + 1 252.841 * * [simplify]: Extracting #3: cost 4 inf + 2 252.841 * * [simplify]: Extracting #4: cost 0 inf + 328 252.841 * [simplify]: Simplified to (* a1 (cos th)) 252.841 * [simplify]: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (/ (/ (* a1 (cos th)) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 252.841 * * * * [progress]: [ 232 / 4148 ] simplifiying candidate #real (real->posit16 (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))))> 252.841 * * * * [progress]: [ 233 / 4148 ] simplifiying candidate # 252.842 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 252.842 * * [simplify]: iters left: 5 (8 enodes) 252.844 * * [simplify]: iters left: 4 (29 enodes) 252.849 * * [simplify]: iters left: 3 (42 enodes) 252.858 * * [simplify]: iters left: 2 (54 enodes) 252.873 * * [simplify]: iters left: 1 (61 enodes) 252.888 * * [simplify]: Extracting #0: cost 1 inf + 0 252.888 * * [simplify]: Extracting #1: cost 16 inf + 0 252.889 * * [simplify]: Extracting #2: cost 28 inf + 1 252.889 * * [simplify]: Extracting #3: cost 19 inf + 473 252.890 * * [simplify]: Extracting #4: cost 4 inf + 2525 252.891 * * [simplify]: Extracting #5: cost 0 inf + 3135 252.894 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 252.894 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 252.894 * * * * [progress]: [ 234 / 4148 ] simplifiying candidate # 252.894 * [simplify]: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) 252.894 * * [simplify]: iters left: 5 (8 enodes) 252.899 * * [simplify]: iters left: 4 (29 enodes) 252.905 * * [simplify]: iters left: 3 (42 enodes) 252.911 * * [simplify]: iters left: 2 (54 enodes) 252.919 * * [simplify]: iters left: 1 (61 enodes) 252.926 * * [simplify]: Extracting #0: cost 1 inf + 0 252.927 * * [simplify]: Extracting #1: cost 16 inf + 0 252.927 * * [simplify]: Extracting #2: cost 28 inf + 1 252.927 * * [simplify]: Extracting #3: cost 19 inf + 473 252.927 * * [simplify]: Extracting #4: cost 4 inf + 2525 252.928 * * [simplify]: Extracting #5: cost 0 inf + 3135 252.928 * [simplify]: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) 252.928 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) 252.929 * * * * [progress]: [ 235 / 4148 ] simplifiying candidate # 252.929 * * * * [progress]: [ 236 / 4148 ] simplifiying candidate # 252.929 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (+ (log a2) (log a2))) 252.929 * * [simplify]: iters left: 6 (11 enodes) 252.932 * * [simplify]: iters left: 5 (40 enodes) 252.942 * * [simplify]: iters left: 4 (63 enodes) 252.962 * * [simplify]: iters left: 3 (102 enodes) 252.996 * * [simplify]: iters left: 2 (144 enodes) 253.042 * * [simplify]: iters left: 1 (166 enodes) 253.094 * * [simplify]: Extracting #0: cost 1 inf + 0 253.094 * * [simplify]: Extracting #1: cost 29 inf + 0 253.094 * * [simplify]: Extracting #2: cost 53 inf + 0 253.094 * * [simplify]: Extracting #3: cost 53 inf + 254 253.095 * * [simplify]: Extracting #4: cost 35 inf + 2686 253.096 * * [simplify]: Extracting #5: cost 8 inf + 10161 253.098 * * [simplify]: Extracting #6: cost 0 inf + 13132 253.100 * [simplify]: Simplified to (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2)))) 253.100 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (exp (- (log (cos th)) (- (log (sqrt 2)) (+ (log a2) (log a2))))))) 253.100 * * * * [progress]: [ 237 / 4148 ] simplifiying candidate # 253.101 * [simplify]: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) 253.101 * * [simplify]: iters left: 6 (11 enodes) 253.104 * * [simplify]: iters left: 5 (40 enodes) 253.110 * * [simplify]: iters left: 4 (62 enodes) 253.122 * * [simplify]: iters left: 3 (104 enodes) 253.151 * * [simplify]: iters left: 2 (142 enodes) 253.192 * * [simplify]: iters left: 1 (168 enodes) 253.222 * * [simplify]: Extracting #0: cost 1 inf + 0 253.222 * * [simplify]: Extracting #1: cost 29 inf + 0 253.223 * * [simplify]: Extracting #2: cost 54 inf + 0 253.223 * * [simplify]: Extracting #3: cost 56 inf + 153 253.224 * * [simplify]: Extracting #4: cost 36 inf + 2657 253.226 * * [simplify]: Extracting #5: cost 9 inf + 10001 253.230 * * [simplify]: Extracting #6: cost 0 inf + 13214 253.235 * [simplify]: Simplified to (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2)))) 253.235 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (exp (+ (log a2) (- (+ (log (cos th)) (log a2)) (log (sqrt 2))))))) 253.235 * * * * [progress]: [ 238 / 4148 ] simplifiying candidate # 253.235 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 253.236 * * [simplify]: iters left: 6 (10 enodes) 253.241 * * [simplify]: iters left: 5 (36 enodes) 253.252 * * [simplify]: iters left: 4 (52 enodes) 253.268 * * [simplify]: iters left: 3 (81 enodes) 253.293 * * [simplify]: iters left: 2 (127 enodes) 253.319 * * [simplify]: iters left: 1 (153 enodes) 253.351 * * [simplify]: Extracting #0: cost 1 inf + 0 253.351 * * [simplify]: Extracting #1: cost 21 inf + 0 253.351 * * [simplify]: Extracting #2: cost 41 inf + 0 253.352 * * [simplify]: Extracting #3: cost 40 inf + 556 253.352 * * [simplify]: Extracting #4: cost 33 inf + 993 253.353 * * [simplify]: Extracting #5: cost 18 inf + 4050 253.357 * * [simplify]: Extracting #6: cost 1 inf + 8354 253.360 * * [simplify]: Extracting #7: cost 0 inf + 8546 253.363 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) 253.363 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))))) 253.363 * * * * [progress]: [ 239 / 4148 ] simplifiying candidate # 253.364 * [simplify]: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 253.364 * * [simplify]: iters left: 6 (10 enodes) 253.370 * * [simplify]: iters left: 5 (36 enodes) 253.381 * * [simplify]: iters left: 4 (52 enodes) 253.391 * * [simplify]: iters left: 3 (81 enodes) 253.403 * * [simplify]: iters left: 2 (117 enodes) 253.423 * * [simplify]: iters left: 1 (150 enodes) 253.468 * * [simplify]: Extracting #0: cost 1 inf + 0 253.469 * * [simplify]: Extracting #1: cost 22 inf + 0 253.469 * * [simplify]: Extracting #2: cost 42 inf + 0 253.469 * * [simplify]: Extracting #3: cost 41 inf + 517 253.470 * * [simplify]: Extracting #4: cost 25 inf + 2678 253.473 * * [simplify]: Extracting #5: cost 6 inf + 6895 253.476 * * [simplify]: Extracting #6: cost 0 inf + 8628 253.479 * [simplify]: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) 253.479 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2)))))) 253.480 * * * * [progress]: [ 240 / 4148 ] simplifiying candidate # 253.480 * * * * [progress]: [ 241 / 4148 ] simplifiying candidate # 253.480 * * * * [progress]: [ 242 / 4148 ] simplifiying candidate # 253.480 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 253.480 * * [simplify]: iters left: 6 (14 enodes) 253.488 * * [simplify]: iters left: 5 (61 enodes) 253.512 * * [simplify]: iters left: 4 (181 enodes) 253.601 * * [simplify]: Extracting #0: cost 1 inf + 0 253.601 * * [simplify]: Extracting #1: cost 76 inf + 0 253.602 * * [simplify]: Extracting #2: cost 235 inf + 124 253.607 * * [simplify]: Extracting #3: cost 165 inf + 14368 253.630 * * [simplify]: Extracting #4: cost 20 inf + 49845 253.642 * * [simplify]: Extracting #5: cost 0 inf + 55540 253.658 * * [simplify]: Extracting #6: cost 0 inf + 55500 253.678 * [simplify]: Simplified to (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2)) 253.678 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (* (/ (sqrt 2) (cos th)) 2))))) 253.678 * * * * [progress]: [ 243 / 4148 ] simplifiying candidate # 253.678 * [simplify]: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 253.678 * * [simplify]: iters left: 6 (14 enodes) 253.683 * * [simplify]: iters left: 5 (62 enodes) 253.696 * * [simplify]: iters left: 4 (174 enodes) 253.805 * * [simplify]: Extracting #0: cost 1 inf + 0 253.805 * * [simplify]: Extracting #1: cost 74 inf + 0 253.807 * * [simplify]: Extracting #2: cost 223 inf + 978 253.816 * * [simplify]: Extracting #3: cost 117 inf + 23061 253.826 * * [simplify]: Extracting #4: cost 7 inf + 51587 253.838 * * [simplify]: Extracting #5: cost 0 inf + 53337 253.850 * * [simplify]: Extracting #6: cost 0 inf + 53297 253.861 * [simplify]: Simplified to (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2))) 253.861 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (* (/ (cos th) 2) (/ (* (* (* a2 (* a2 a2)) (cos th)) (* (* a2 (* a2 a2)) (cos th))) (sqrt 2)))))) 253.862 * * * * [progress]: [ 244 / 4148 ] simplifiying candidate # 253.862 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) 253.862 * * [simplify]: iters left: 6 (12 enodes) 253.866 * * [simplify]: iters left: 5 (55 enodes) 253.877 * * [simplify]: iters left: 4 (146 enodes) 253.926 * * [simplify]: iters left: 3 (466 enodes) 254.285 * * [simplify]: Extracting #0: cost 1 inf + 0 254.285 * * [simplify]: Extracting #1: cost 112 inf + 0 254.288 * * [simplify]: Extracting #2: cost 333 inf + 165 254.297 * * [simplify]: Extracting #3: cost 235 inf + 23822 254.339 * * [simplify]: Extracting #4: cost 37 inf + 81592 254.384 * * [simplify]: Extracting #5: cost 0 inf + 95859 254.431 * [simplify]: Simplified to (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))))) 254.431 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (* (* (* a2 (* a2 a2)) (* a2 (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2)))))))) 254.432 * * * * [progress]: [ 245 / 4148 ] simplifiying candidate # 254.432 * [simplify]: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) 254.432 * * [simplify]: iters left: 6 (12 enodes) 254.439 * * [simplify]: iters left: 5 (56 enodes) 254.463 * * [simplify]: iters left: 4 (149 enodes) 254.549 * * [simplify]: iters left: 3 (484 enodes) 254.935 * * [simplify]: Extracting #0: cost 1 inf + 0 254.935 * * [simplify]: Extracting #1: cost 116 inf + 0 254.937 * * [simplify]: Extracting #2: cost 379 inf + 167 254.943 * * [simplify]: Extracting #3: cost 262 inf + 31859 254.976 * * [simplify]: Extracting #4: cost 24 inf + 104764 255.021 * * [simplify]: Extracting #5: cost 0 inf + 112531 255.047 * [simplify]: Simplified to (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) 255.047 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (* (* (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2))))))) 255.047 * * * * [progress]: [ 246 / 4148 ] simplifiying candidate # 255.048 * * * * [progress]: [ 247 / 4148 ] simplifiying candidate # 255.048 * * * * [progress]: [ 248 / 4148 ] simplifiying candidate # 255.048 * * * * [progress]: [ 249 / 4148 ] simplifiying candidate # 255.048 * * * * [progress]: [ 250 / 4148 ] simplifiying candidate # 255.048 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 255.048 * * [simplify]: iters left: 6 (8 enodes) 255.050 * * [simplify]: iters left: 5 (25 enodes) 255.054 * * [simplify]: Extracting #0: cost 1 inf + 0 255.054 * * [simplify]: Extracting #1: cost 4 inf + 0 255.054 * * [simplify]: Extracting #2: cost 5 inf + 1 255.054 * * [simplify]: Extracting #3: cost 8 inf + 1 255.054 * * [simplify]: Extracting #4: cost 12 inf + 1 255.054 * * [simplify]: Extracting #5: cost 9 inf + 44 255.054 * * [simplify]: Extracting #6: cost 7 inf + 146 255.055 * * [simplify]: Extracting #7: cost 2 inf + 896 255.055 * * [simplify]: Extracting #8: cost 0 inf + 1301 255.055 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 255.055 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 255.055 * [simplify]: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) 255.055 * * [simplify]: iters left: 6 (8 enodes) 255.057 * * [simplify]: iters left: 5 (25 enodes) 255.061 * * [simplify]: Extracting #0: cost 1 inf + 0 255.061 * * [simplify]: Extracting #1: cost 4 inf + 0 255.061 * * [simplify]: Extracting #2: cost 5 inf + 1 255.061 * * [simplify]: Extracting #3: cost 8 inf + 1 255.061 * * [simplify]: Extracting #4: cost 12 inf + 1 255.062 * * [simplify]: Extracting #5: cost 9 inf + 44 255.062 * * [simplify]: Extracting #6: cost 7 inf + 146 255.062 * * [simplify]: Extracting #7: cost 2 inf + 896 255.062 * * [simplify]: Extracting #8: cost 0 inf + 1301 255.062 * [simplify]: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) a2) 255.062 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (sqrt (/ (cos th) (sqrt 2))) a2) (* (sqrt (/ (cos th) (sqrt 2))) a2)))) 255.062 * * * * [progress]: [ 251 / 4148 ] simplifiying candidate # 255.063 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 255.063 * * [simplify]: iters left: 6 (9 enodes) 255.066 * * [simplify]: iters left: 5 (30 enodes) 255.071 * * [simplify]: iters left: 4 (36 enodes) 255.076 * * [simplify]: iters left: 3 (38 enodes) 255.084 * * [simplify]: Extracting #0: cost 1 inf + 0 255.085 * * [simplify]: Extracting #1: cost 8 inf + 0 255.085 * * [simplify]: Extracting #2: cost 14 inf + 1 255.085 * * [simplify]: Extracting #3: cost 18 inf + 1 255.085 * * [simplify]: Extracting #4: cost 14 inf + 125 255.085 * * [simplify]: Extracting #5: cost 8 inf + 713 255.086 * * [simplify]: Extracting #6: cost 1 inf + 1847 255.086 * * [simplify]: Extracting #7: cost 0 inf + 2069 255.087 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 255.087 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 255.088 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 255.088 * * [simplify]: iters left: 6 (9 enodes) 255.092 * * [simplify]: iters left: 5 (30 enodes) 255.101 * * [simplify]: iters left: 4 (36 enodes) 255.111 * * [simplify]: iters left: 3 (38 enodes) 255.121 * * [simplify]: Extracting #0: cost 1 inf + 0 255.121 * * [simplify]: Extracting #1: cost 8 inf + 0 255.122 * * [simplify]: Extracting #2: cost 14 inf + 1 255.122 * * [simplify]: Extracting #3: cost 18 inf + 1 255.122 * * [simplify]: Extracting #4: cost 14 inf + 125 255.122 * * [simplify]: Extracting #5: cost 8 inf + 713 255.123 * * [simplify]: Extracting #6: cost 1 inf + 1847 255.123 * * [simplify]: Extracting #7: cost 0 inf + 2069 255.124 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 255.124 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 255.124 * * * * [progress]: [ 252 / 4148 ] simplifiying candidate # 255.125 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 255.125 * * [simplify]: iters left: 6 (9 enodes) 255.129 * * [simplify]: iters left: 5 (30 enodes) 255.138 * * [simplify]: iters left: 4 (36 enodes) 255.149 * * [simplify]: iters left: 3 (38 enodes) 255.159 * * [simplify]: Extracting #0: cost 1 inf + 0 255.159 * * [simplify]: Extracting #1: cost 8 inf + 0 255.159 * * [simplify]: Extracting #2: cost 14 inf + 1 255.159 * * [simplify]: Extracting #3: cost 18 inf + 1 255.160 * * [simplify]: Extracting #4: cost 14 inf + 125 255.160 * * [simplify]: Extracting #5: cost 8 inf + 713 255.160 * * [simplify]: Extracting #6: cost 1 inf + 1847 255.161 * * [simplify]: Extracting #7: cost 0 inf + 2069 255.162 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 255.162 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2)))) 255.162 * [simplify]: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) 255.162 * * [simplify]: iters left: 6 (9 enodes) 255.167 * * [simplify]: iters left: 5 (30 enodes) 255.176 * * [simplify]: iters left: 4 (36 enodes) 255.186 * * [simplify]: iters left: 3 (38 enodes) 255.197 * * [simplify]: Extracting #0: cost 1 inf + 0 255.197 * * [simplify]: Extracting #1: cost 8 inf + 0 255.197 * * [simplify]: Extracting #2: cost 14 inf + 1 255.197 * * [simplify]: Extracting #3: cost 18 inf + 1 255.197 * * [simplify]: Extracting #4: cost 14 inf + 125 255.197 * * [simplify]: Extracting #5: cost 8 inf + 713 255.198 * * [simplify]: Extracting #6: cost 1 inf + 1847 255.198 * * [simplify]: Extracting #7: cost 0 inf + 2069 255.199 * [simplify]: Simplified to (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2))) 255.199 * [simplify]: Simplified (2 2 2) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) (/ (* a2 (sqrt (cos th))) (sqrt (sqrt 2)))))) 255.199 * * * * [progress]: [ 253 / 4148 ] simplifiying candidate # 255.200 * * * * [progress]: [ 254 / 4148 ] simplifiying candidate # 255.200 * [simplify]: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 255.200 * * [simplify]: iters left: 6 (7 enodes) 255.204 * * [simplify]: iters left: 5 (21 enodes) 255.212 * * [simplify]: Extracting #0: cost 1 inf + 0 255.212 * * [simplify]: Extracting #1: cost 3 inf + 0 255.212 * * [simplify]: Extracting #2: cost 5 inf + 0 255.212 * * [simplify]: Extracting #3: cost 8 inf + 0 255.212 * * [simplify]: Extracting #4: cost 12 inf + 0 255.212 * * [simplify]: Extracting #5: cost 10 inf + 2 255.212 * * [simplify]: Extracting #6: cost 1 inf + 1196 255.213 * * [simplify]: Extracting #7: cost 0 inf + 1458 255.213 * [simplify]: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) 255.213 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 255.214 * * * * [progress]: [ 255 / 4148 ] simplifiying candidate # 255.214 * [simplify]: Simplifying (sqrt (/ (cos th) (sqrt 2))) 255.214 * * [simplify]: iters left: 4 (6 enodes) 255.217 * * [simplify]: iters left: 3 (18 enodes) 255.223 * * [simplify]: Extracting #0: cost 1 inf + 0 255.223 * * [simplify]: Extracting #1: cost 3 inf + 0 255.223 * * [simplify]: Extracting #2: cost 6 inf + 0 255.223 * * [simplify]: Extracting #3: cost 10 inf + 0 255.223 * * [simplify]: Extracting #4: cost 6 inf + 84 255.223 * * [simplify]: Extracting #5: cost 0 inf + 854 255.223 * [simplify]: Simplified to (sqrt (/ (cos th) (sqrt 2))) 255.223 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))))) 255.224 * * * * [progress]: [ 256 / 4148 ] simplifiying candidate # 255.224 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 255.224 * * [simplify]: iters left: 6 (9 enodes) 255.229 * * [simplify]: iters left: 5 (33 enodes) 255.239 * * [simplify]: iters left: 4 (48 enodes) 255.254 * * [simplify]: iters left: 3 (55 enodes) 255.268 * * [simplify]: iters left: 2 (58 enodes) 255.284 * * [simplify]: Extracting #0: cost 1 inf + 0 255.284 * * [simplify]: Extracting #1: cost 11 inf + 0 255.284 * * [simplify]: Extracting #2: cost 22 inf + 0 255.284 * * [simplify]: Extracting #3: cost 26 inf + 0 255.284 * * [simplify]: Extracting #4: cost 22 inf + 104 255.285 * * [simplify]: Extracting #5: cost 7 inf + 3466 255.286 * * [simplify]: Extracting #6: cost 0 inf + 5358 255.288 * [simplify]: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) 255.288 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 255.288 * * * * [progress]: [ 257 / 4148 ] simplifiying candidate # 255.288 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2) (cbrt 2)))) 255.288 * * [simplify]: iters left: 6 (9 enodes) 255.293 * * [simplify]: iters left: 5 (30 enodes) 255.302 * * [simplify]: iters left: 4 (34 enodes) 255.312 * * [simplify]: iters left: 3 (37 enodes) 255.323 * * [simplify]: Extracting #0: cost 1 inf + 0 255.323 * * [simplify]: Extracting #1: cost 7 inf + 0 255.323 * * [simplify]: Extracting #2: cost 15 inf + 0 255.323 * * [simplify]: Extracting #3: cost 20 inf + 0 255.323 * * [simplify]: Extracting #4: cost 14 inf + 386 255.324 * * [simplify]: Extracting #5: cost 4 inf + 2139 255.324 * * [simplify]: Extracting #6: cost 0 inf + 3306 255.325 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) 255.325 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 255.326 * * * * [progress]: [ 258 / 4148 ] simplifiying candidate # 255.326 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 255.326 * * [simplify]: iters left: 6 (8 enodes) 255.330 * * [simplify]: iters left: 5 (26 enodes) 255.339 * * [simplify]: iters left: 4 (30 enodes) 255.348 * * [simplify]: iters left: 3 (33 enodes) 255.359 * * [simplify]: Extracting #0: cost 1 inf + 0 255.359 * * [simplify]: Extracting #1: cost 7 inf + 0 255.359 * * [simplify]: Extracting #2: cost 14 inf + 0 255.359 * * [simplify]: Extracting #3: cost 18 inf + 0 255.359 * * [simplify]: Extracting #4: cost 15 inf + 43 255.359 * * [simplify]: Extracting #5: cost 11 inf + 307 255.360 * * [simplify]: Extracting #6: cost 2 inf + 2181 255.361 * * [simplify]: Extracting #7: cost 0 inf + 2664 255.361 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 255.361 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 255.362 * * * * [progress]: [ 259 / 4148 ] simplifiying candidate # 255.362 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 255.362 * * [simplify]: iters left: 6 (7 enodes) 255.369 * * [simplify]: iters left: 5 (25 enodes) 255.377 * * [simplify]: iters left: 4 (31 enodes) 255.386 * * [simplify]: iters left: 3 (35 enodes) 255.393 * * [simplify]: iters left: 2 (36 enodes) 255.397 * * [simplify]: Extracting #0: cost 1 inf + 0 255.397 * * [simplify]: Extracting #1: cost 5 inf + 0 255.397 * * [simplify]: Extracting #2: cost 7 inf + 1 255.397 * * [simplify]: Extracting #3: cost 9 inf + 1 255.397 * * [simplify]: Extracting #4: cost 8 inf + 2 255.397 * * [simplify]: Extracting #5: cost 1 inf + 951 255.397 * * [simplify]: Extracting #6: cost 0 inf + 1132 255.398 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 255.398 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 255.398 * * * * [progress]: [ 260 / 4148 ] simplifiying candidate # 255.398 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 255.398 * * [simplify]: iters left: 6 (8 enodes) 255.400 * * [simplify]: iters left: 5 (26 enodes) 255.404 * * [simplify]: iters left: 4 (30 enodes) 255.409 * * [simplify]: iters left: 3 (33 enodes) 255.414 * * [simplify]: Extracting #0: cost 1 inf + 0 255.414 * * [simplify]: Extracting #1: cost 7 inf + 0 255.414 * * [simplify]: Extracting #2: cost 14 inf + 0 255.414 * * [simplify]: Extracting #3: cost 18 inf + 0 255.414 * * [simplify]: Extracting #4: cost 15 inf + 43 255.415 * * [simplify]: Extracting #5: cost 11 inf + 307 255.415 * * [simplify]: Extracting #6: cost 2 inf + 2181 255.416 * * [simplify]: Extracting #7: cost 0 inf + 2664 255.416 * [simplify]: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) 255.416 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 255.417 * * * * [progress]: [ 261 / 4148 ] simplifiying candidate # 255.417 * [simplify]: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 255.417 * * [simplify]: iters left: 6 (6 enodes) 255.420 * * [simplify]: iters left: 5 (20 enodes) 255.427 * * [simplify]: iters left: 4 (30 enodes) 255.435 * * [simplify]: iters left: 3 (31 enodes) 255.443 * * [simplify]: Extracting #0: cost 1 inf + 0 255.443 * * [simplify]: Extracting #1: cost 5 inf + 0 255.443 * * [simplify]: Extracting #2: cost 7 inf + 1 255.443 * * [simplify]: Extracting #3: cost 9 inf + 1 255.443 * * [simplify]: Extracting #4: cost 8 inf + 2 255.443 * * [simplify]: Extracting #5: cost 0 inf + 1132 255.444 * [simplify]: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) 255.444 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) 255.444 * * * * [progress]: [ 262 / 4148 ] simplifiying candidate # 255.444 * [simplify]: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 255.444 * * [simplify]: iters left: 6 (8 enodes) 255.449 * * [simplify]: iters left: 5 (26 enodes) 255.457 * * [simplify]: iters left: 4 (28 enodes) 255.466 * * [simplify]: Extracting #0: cost 1 inf + 0 255.466 * * [simplify]: Extracting #1: cost 6 inf + 0 255.466 * * [simplify]: Extracting #2: cost 12 inf + 0 255.466 * * [simplify]: Extracting #3: cost 16 inf + 0 255.466 * * [simplify]: Extracting #4: cost 14 inf + 2 255.466 * * [simplify]: Extracting #5: cost 10 inf + 266 255.467 * * [simplify]: Extracting #6: cost 1 inf + 1798 255.467 * * [simplify]: Extracting #7: cost 0 inf + 2100 255.468 * [simplify]: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) 255.468 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) 255.468 * * * * [progress]: [ 263 / 4148 ] simplifiying candidate # 255.468 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt 2) (cbrt 2)))) 255.469 * * [simplify]: iters left: 6 (8 enodes) 255.473 * * [simplify]: iters left: 5 (25 enodes) 255.480 * * [simplify]: Extracting #0: cost 1 inf + 0 255.480 * * [simplify]: Extracting #1: cost 4 inf + 0 255.480 * * [simplify]: Extracting #2: cost 9 inf + 0 255.480 * * [simplify]: Extracting #3: cost 14 inf + 0 255.480 * * [simplify]: Extracting #4: cost 12 inf + 2 255.480 * * [simplify]: Extracting #5: cost 6 inf + 528 255.481 * * [simplify]: Extracting #6: cost 1 inf + 1234 255.481 * * [simplify]: Extracting #7: cost 0 inf + 1496 255.481 * [simplify]: Simplified to (/ (sqrt (cos th)) (fabs (cbrt 2))) 255.481 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (sqrt (cos th)) (fabs (cbrt 2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2))) (* a2 a2))))) 255.482 * * * * [progress]: [ 264 / 4148 ] simplifiying candidate # 255.482 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 255.482 * * [simplify]: iters left: 4 (7 enodes) 255.486 * * [simplify]: iters left: 3 (21 enodes) 255.492 * * [simplify]: Extracting #0: cost 1 inf + 0 255.492 * * [simplify]: Extracting #1: cost 4 inf + 0 255.492 * * [simplify]: Extracting #2: cost 8 inf + 0 255.492 * * [simplify]: Extracting #3: cost 12 inf + 0 255.492 * * [simplify]: Extracting #4: cost 10 inf + 2 255.492 * * [simplify]: Extracting #5: cost 4 inf + 368 255.493 * * [simplify]: Extracting #6: cost 1 inf + 792 255.493 * * [simplify]: Extracting #7: cost 0 inf + 1014 255.493 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 255.493 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 255.494 * * * * [progress]: [ 265 / 4148 ] simplifiying candidate # 255.494 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt 1)) 255.494 * * [simplify]: iters left: 4 (6 enodes) 255.499 * * [simplify]: iters left: 3 (20 enodes) 255.507 * * [simplify]: iters left: 2 (22 enodes) 255.513 * * [simplify]: iters left: 1 (24 enodes) 255.518 * * [simplify]: Extracting #0: cost 1 inf + 0 255.518 * * [simplify]: Extracting #1: cost 4 inf + 0 255.518 * * [simplify]: Extracting #2: cost 5 inf + 1 255.518 * * [simplify]: Extracting #3: cost 4 inf + 2 255.518 * * [simplify]: Extracting #4: cost 0 inf + 326 255.518 * [simplify]: Simplified to (sqrt (cos th)) 255.518 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 255.519 * * * * [progress]: [ 266 / 4148 ] simplifiying candidate # 255.519 * [simplify]: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) 255.519 * * [simplify]: iters left: 4 (7 enodes) 255.522 * * [simplify]: iters left: 3 (21 enodes) 255.528 * * [simplify]: Extracting #0: cost 1 inf + 0 255.528 * * [simplify]: Extracting #1: cost 4 inf + 0 255.528 * * [simplify]: Extracting #2: cost 8 inf + 0 255.528 * * [simplify]: Extracting #3: cost 12 inf + 0 255.528 * * [simplify]: Extracting #4: cost 10 inf + 2 255.528 * * [simplify]: Extracting #5: cost 4 inf + 368 255.529 * * [simplify]: Extracting #6: cost 1 inf + 792 255.529 * * [simplify]: Extracting #7: cost 0 inf + 1014 255.529 * [simplify]: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) 255.529 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) 255.529 * * * * [progress]: [ 267 / 4148 ] simplifiying candidate # 255.530 * [simplify]: Simplifying (/ (sqrt (cos th)) 1) 255.530 * * [simplify]: iters left: 4 (5 enodes) 255.532 * * [simplify]: iters left: 3 (15 enodes) 255.537 * * [simplify]: iters left: 2 (17 enodes) 255.543 * * [simplify]: Extracting #0: cost 1 inf + 0 255.543 * * [simplify]: Extracting #1: cost 4 inf + 0 255.543 * * [simplify]: Extracting #2: cost 5 inf + 1 255.543 * * [simplify]: Extracting #3: cost 4 inf + 2 255.543 * * [simplify]: Extracting #4: cost 1 inf + 225 255.543 * * [simplify]: Extracting #5: cost 0 inf + 326 255.543 * [simplify]: Simplified to (sqrt (cos th)) 255.543 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) 255.543 * * * * [progress]: [ 268 / 4148 ] simplifiying candidate # 255.544 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 255.544 * * [simplify]: iters left: 6 (6 enodes) 255.548 * * [simplify]: iters left: 5 (22 enodes) 255.556 * * [simplify]: iters left: 4 (26 enodes) 255.564 * * [simplify]: Extracting #0: cost 1 inf + 0 255.564 * * [simplify]: Extracting #1: cost 6 inf + 0 255.564 * * [simplify]: Extracting #2: cost 9 inf + 1 255.564 * * [simplify]: Extracting #3: cost 11 inf + 1 255.564 * * [simplify]: Extracting #4: cost 8 inf + 84 255.564 * * [simplify]: Extracting #5: cost 2 inf + 1013 255.565 * * [simplify]: Extracting #6: cost 0 inf + 1376 255.565 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 255.565 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))))) 255.566 * * * * [progress]: [ 269 / 4148 ] simplifiying candidate # 255.566 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt 2) (cbrt 2)))) 255.566 * * [simplify]: iters left: 6 (6 enodes) 255.570 * * [simplify]: iters left: 5 (21 enodes) 255.577 * * [simplify]: iters left: 4 (23 enodes) 255.583 * * [simplify]: Extracting #0: cost 1 inf + 0 255.584 * * [simplify]: Extracting #1: cost 4 inf + 0 255.584 * * [simplify]: Extracting #2: cost 6 inf + 1 255.584 * * [simplify]: Extracting #3: cost 9 inf + 1 255.584 * * [simplify]: Extracting #4: cost 8 inf + 2 255.584 * * [simplify]: Extracting #5: cost 1 inf + 810 255.584 * * [simplify]: Extracting #6: cost 0 inf + 972 255.584 * [simplify]: Simplified to (/ 1 (fabs (cbrt 2))) 255.584 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ 1 (fabs (cbrt 2))) (* (/ (cos th) (sqrt (cbrt 2))) (* a2 a2))))) 255.584 * * * * [progress]: [ 270 / 4148 ] simplifiying candidate # 255.584 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 255.585 * * [simplify]: iters left: 4 (5 enodes) 255.586 * * [simplify]: iters left: 3 (17 enodes) 255.589 * * [simplify]: iters left: 2 (19 enodes) 255.593 * * [simplify]: Extracting #0: cost 1 inf + 0 255.593 * * [simplify]: Extracting #1: cost 4 inf + 0 255.593 * * [simplify]: Extracting #2: cost 5 inf + 1 255.593 * * [simplify]: Extracting #3: cost 7 inf + 1 255.593 * * [simplify]: Extracting #4: cost 0 inf + 490 255.593 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 255.593 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 255.593 * * * * [progress]: [ 271 / 4148 ] simplifiying candidate # 255.593 * [simplify]: Simplifying (/ 1 (sqrt 1)) 255.593 * * [simplify]: iters left: 3 (3 enodes) 255.599 * * [simplify]: iters left: 2 (11 enodes) 255.602 * * [simplify]: iters left: 1 (13 enodes) 255.606 * * [simplify]: Extracting #0: cost 1 inf + 0 255.606 * * [simplify]: Extracting #1: cost 0 inf + 1 255.606 * [simplify]: Simplified to 1 255.606 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 255.606 * * * * [progress]: [ 272 / 4148 ] simplifiying candidate # 255.606 * [simplify]: Simplifying (/ 1 (sqrt (sqrt 2))) 255.607 * * [simplify]: iters left: 4 (5 enodes) 255.610 * * [simplify]: iters left: 3 (17 enodes) 255.616 * * [simplify]: iters left: 2 (19 enodes) 255.623 * * [simplify]: Extracting #0: cost 1 inf + 0 255.623 * * [simplify]: Extracting #1: cost 4 inf + 0 255.623 * * [simplify]: Extracting #2: cost 5 inf + 1 255.623 * * [simplify]: Extracting #3: cost 7 inf + 1 255.624 * * [simplify]: Extracting #4: cost 0 inf + 490 255.624 * [simplify]: Simplified to (/ 1 (sqrt (sqrt 2))) 255.624 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) 255.624 * * * * [progress]: [ 273 / 4148 ] simplifiying candidate # 255.624 * [simplify]: Simplifying (/ 1 1) 255.625 * * [simplify]: iters left: 2 (2 enodes) 255.626 * * [simplify]: iters left: 1 (6 enodes) 255.628 * * [simplify]: Extracting #0: cost 1 inf + 0 255.628 * * [simplify]: Extracting #1: cost 0 inf + 1 255.628 * [simplify]: Simplified to 1 255.628 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) 255.628 * * * * [progress]: [ 274 / 4148 ] simplifiying candidate # 255.629 * * * * [progress]: [ 275 / 4148 ] simplifiying candidate # 255.629 * [simplify]: Simplifying (cos th) 255.629 * * [simplify]: iters left: 1 (2 enodes) 255.630 * * [simplify]: Extracting #0: cost 1 inf + 0 255.630 * * [simplify]: Extracting #1: cost 3 inf + 0 255.630 * * [simplify]: Extracting #2: cost 2 inf + 1 255.630 * * [simplify]: Extracting #3: cost 0 inf + 123 255.630 * [simplify]: Simplified to (cos th) 255.630 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2))))) 255.630 * * * * [progress]: [ 276 / 4148 ] simplifiying candidate # 255.631 * [simplify]: Simplifying (* (cos th) (* a2 a2)) 255.631 * * [simplify]: iters left: 4 (5 enodes) 255.633 * * [simplify]: iters left: 3 (18 enodes) 255.638 * * [simplify]: iters left: 2 (22 enodes) 255.644 * * [simplify]: Extracting #0: cost 1 inf + 0 255.644 * * [simplify]: Extracting #1: cost 6 inf + 0 255.644 * * [simplify]: Extracting #2: cost 8 inf + 42 255.644 * * [simplify]: Extracting #3: cost 6 inf + 84 255.644 * * [simplify]: Extracting #4: cost 0 inf + 694 255.644 * [simplify]: Simplified to (* (* a2 a2) (cos th)) 255.645 * [simplify]: Simplified (2 2 1) to (λ (a1 a2 th) (+ (/ (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2)))) 255.645 * * * * [progress]: [ 277 / 4148 ] simplifiying candidate #real (real->posit16 (* (/ (cos th) (sqrt 2)) (* a2 a2))))))> 255.645 * * * * [progress]: [ 278 / 4148 ] simplifiying candidate # 255.645 * * * * [progress]: [ 279 / 4148 ] simplifiying candidate # 255.645 * * * * [progress]: [ 280 / 4148 ] simplifiying candidate # 255.645 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 255.646 * * [simplify]: iters left: 6 (21 enodes) 255.660 * * [simplify]: iters left: 5 (87 enodes) 255.693 * * [simplify]: iters left: 4 (194 enodes) 255.799 * * [simplify]: Extracting #0: cost 1 inf + 0 255.800 * * [simplify]: Extracting #1: cost 62 inf + 0 255.800 * * [simplify]: Extracting #2: cost 193 inf + 1 255.801 * * [simplify]: Extracting #3: cost 200 inf + 478 255.802 * * [simplify]: Extracting #4: cost 191 inf + 2046 255.803 * * [simplify]: Extracting #5: cost 190 inf + 2672 255.804 * * [simplify]: Extracting #6: cost 182 inf + 4172 255.808 * * [simplify]: Extracting #7: cost 124 inf + 29810 255.823 * * [simplify]: Extracting #8: cost 12 inf + 92088 255.847 * * [simplify]: Extracting #9: cost 0 inf + 98870 255.866 * [simplify]: Simplified to (- (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 255.867 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 255.867 * * * * [progress]: [ 281 / 4148 ] simplifiying candidate # 255.867 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 255.868 * * [simplify]: iters left: 6 (22 enodes) 255.879 * * [simplify]: iters left: 5 (87 enodes) 255.904 * * [simplify]: iters left: 4 (182 enodes) 255.997 * * [simplify]: Extracting #0: cost 1 inf + 0 255.997 * * [simplify]: Extracting #1: cost 54 inf + 0 255.998 * * [simplify]: Extracting #2: cost 162 inf + 1 255.999 * * [simplify]: Extracting #3: cost 174 inf + 297 256.001 * * [simplify]: Extracting #4: cost 164 inf + 1672 256.003 * * [simplify]: Extracting #5: cost 162 inf + 2541 256.004 * * [simplify]: Extracting #6: cost 159 inf + 2704 256.007 * * [simplify]: Extracting #7: cost 140 inf + 9065 256.022 * * [simplify]: Extracting #8: cost 38 inf + 59400 256.036 * * [simplify]: Extracting #9: cost 0 inf + 81870 256.049 * * [simplify]: Extracting #10: cost 0 inf + 81800 256.073 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) 256.073 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 256.073 * * * * [progress]: [ 282 / 4148 ] simplifiying candidate # 256.074 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 256.074 * * [simplify]: iters left: 6 (23 enodes) 256.090 * * [simplify]: iters left: 5 (97 enodes) 256.107 * * [simplify]: iters left: 4 (195 enodes) 256.205 * * [simplify]: Extracting #0: cost 1 inf + 0 256.205 * * [simplify]: Extracting #1: cost 78 inf + 0 256.207 * * [simplify]: Extracting #2: cost 202 inf + 1 256.208 * * [simplify]: Extracting #3: cost 208 inf + 519 256.211 * * [simplify]: Extracting #4: cost 198 inf + 2408 256.213 * * [simplify]: Extracting #5: cost 200 inf + 2408 256.215 * * [simplify]: Extracting #6: cost 189 inf + 5295 256.221 * * [simplify]: Extracting #7: cost 144 inf + 25332 256.247 * * [simplify]: Extracting #8: cost 24 inf + 89293 256.283 * * [simplify]: Extracting #9: cost 0 inf + 105384 256.312 * [simplify]: Simplified to (+ (log a1) (- (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 256.312 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 256.312 * * * * [progress]: [ 283 / 4148 ] simplifiying candidate # 256.312 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 256.313 * * [simplify]: iters left: 6 (24 enodes) 256.321 * * [simplify]: iters left: 5 (97 enodes) 256.344 * * [simplify]: iters left: 4 (183 enodes) 256.401 * * [simplify]: Extracting #0: cost 1 inf + 0 256.401 * * [simplify]: Extracting #1: cost 70 inf + 0 256.402 * * [simplify]: Extracting #2: cost 167 inf + 1 256.402 * * [simplify]: Extracting #3: cost 178 inf + 255 256.403 * * [simplify]: Extracting #4: cost 170 inf + 1449 256.404 * * [simplify]: Extracting #5: cost 168 inf + 2277 256.405 * * [simplify]: Extracting #6: cost 137 inf + 12456 256.418 * * [simplify]: Extracting #7: cost 45 inf + 60167 256.447 * * [simplify]: Extracting #8: cost 2 inf + 85571 256.475 * * [simplify]: Extracting #9: cost 0 inf + 86827 256.504 * [simplify]: Simplified to (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 256.505 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 256.505 * * * * [progress]: [ 284 / 4148 ] simplifiying candidate # 256.506 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 256.506 * * [simplify]: iters left: 6 (22 enodes) 256.518 * * [simplify]: iters left: 5 (88 enodes) 256.536 * * [simplify]: iters left: 4 (196 enodes) 256.611 * * [simplify]: Extracting #0: cost 1 inf + 0 256.611 * * [simplify]: Extracting #1: cost 62 inf + 0 256.612 * * [simplify]: Extracting #2: cost 178 inf + 1 256.613 * * [simplify]: Extracting #3: cost 192 inf + 73 256.615 * * [simplify]: Extracting #4: cost 180 inf + 2084 256.617 * * [simplify]: Extracting #5: cost 179 inf + 2691 256.619 * * [simplify]: Extracting #6: cost 177 inf + 2733 256.622 * * [simplify]: Extracting #7: cost 147 inf + 13924 256.641 * * [simplify]: Extracting #8: cost 40 inf + 71890 256.656 * * [simplify]: Extracting #9: cost 0 inf + 95540 256.688 * * [simplify]: Extracting #10: cost 0 inf + 95400 256.708 * [simplify]: Simplified to (- (+ (log (cos th)) (- (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2)))))) 256.709 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log (cos th)) (- (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 256.709 * * * * [progress]: [ 285 / 4148 ] simplifiying candidate # 256.709 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 256.709 * * [simplify]: iters left: 6 (22 enodes) 256.718 * * [simplify]: iters left: 5 (86 enodes) 256.733 * * [simplify]: iters left: 4 (183 enodes) 256.792 * * [simplify]: Extracting #0: cost 1 inf + 0 256.792 * * [simplify]: Extracting #1: cost 55 inf + 0 256.793 * * [simplify]: Extracting #2: cost 163 inf + 1 256.794 * * [simplify]: Extracting #3: cost 176 inf + 447 256.796 * * [simplify]: Extracting #4: cost 170 inf + 1478 256.797 * * [simplify]: Extracting #5: cost 167 inf + 2408 256.800 * * [simplify]: Extracting #6: cost 139 inf + 11136 256.813 * * [simplify]: Extracting #7: cost 40 inf + 62121 256.826 * * [simplify]: Extracting #8: cost 0 inf + 84877 256.840 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 256.841 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 256.841 * * * * [progress]: [ 286 / 4148 ] simplifiying candidate # 256.841 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 256.841 * * [simplify]: iters left: 6 (24 enodes) 256.850 * * [simplify]: iters left: 5 (99 enodes) 256.875 * * [simplify]: iters left: 4 (194 enodes) 256.955 * * [simplify]: Extracting #0: cost 1 inf + 0 256.955 * * [simplify]: Extracting #1: cost 78 inf + 0 256.955 * * [simplify]: Extracting #2: cost 202 inf + 1 256.956 * * [simplify]: Extracting #3: cost 211 inf + 255 256.957 * * [simplify]: Extracting #4: cost 203 inf + 1800 256.958 * * [simplify]: Extracting #5: cost 203 inf + 2144 256.961 * * [simplify]: Extracting #6: cost 174 inf + 11589 256.982 * * [simplify]: Extracting #7: cost 58 inf + 75005 257.017 * * [simplify]: Extracting #8: cost 1 inf + 110102 257.056 * * [simplify]: Extracting #9: cost 0 inf + 108864 257.077 * * [simplify]: Extracting #10: cost 0 inf + 108794 257.095 * [simplify]: Simplified to (- (+ (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cos th)) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) 257.095 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cos th)) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 257.096 * * * * [progress]: [ 287 / 4148 ] simplifiying candidate # 257.096 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 257.099 * * [simplify]: iters left: 6 (24 enodes) 257.114 * * [simplify]: iters left: 5 (97 enodes) 257.134 * * [simplify]: iters left: 4 (181 enodes) 257.221 * * [simplify]: Extracting #0: cost 1 inf + 0 257.222 * * [simplify]: Extracting #1: cost 70 inf + 0 257.222 * * [simplify]: Extracting #2: cost 168 inf + 1 257.224 * * [simplify]: Extracting #3: cost 180 inf + 255 257.225 * * [simplify]: Extracting #4: cost 172 inf + 1599 257.227 * * [simplify]: Extracting #5: cost 172 inf + 2013 257.229 * * [simplify]: Extracting #6: cost 153 inf + 7152 257.241 * * [simplify]: Extracting #7: cost 73 inf + 45590 257.267 * * [simplify]: Extracting #8: cost 5 inf + 84545 257.295 * * [simplify]: Extracting #9: cost 0 inf + 87679 257.324 * [simplify]: Simplified to (+ (log a1) (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))) 257.324 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 257.324 * * * * [progress]: [ 288 / 4148 ] simplifiying candidate # 257.325 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 257.325 * * [simplify]: iters left: 6 (23 enodes) 257.338 * * [simplify]: iters left: 5 (94 enodes) 257.369 * * [simplify]: iters left: 4 (198 enodes) 257.458 * * [simplify]: Extracting #0: cost 1 inf + 0 257.458 * * [simplify]: Extracting #1: cost 72 inf + 0 257.459 * * [simplify]: Extracting #2: cost 194 inf + 0 257.461 * * [simplify]: Extracting #3: cost 205 inf + 295 257.462 * * [simplify]: Extracting #4: cost 196 inf + 1691 257.464 * * [simplify]: Extracting #5: cost 196 inf + 2145 257.466 * * [simplify]: Extracting #6: cost 195 inf + 2146 257.468 * * [simplify]: Extracting #7: cost 180 inf + 5627 257.478 * * [simplify]: Extracting #8: cost 114 inf + 36721 257.506 * * [simplify]: Extracting #9: cost 10 inf + 97155 257.538 * * [simplify]: Extracting #10: cost 0 inf + 102908 257.555 * [simplify]: Simplified to (- (+ (- (- (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cos th))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 257.555 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (- (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cos th))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 257.555 * * * * [progress]: [ 289 / 4148 ] simplifiying candidate # 257.555 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 257.556 * * [simplify]: iters left: 6 (23 enodes) 257.563 * * [simplify]: iters left: 5 (92 enodes) 257.582 * * [simplify]: iters left: 4 (185 enodes) 257.662 * * [simplify]: Extracting #0: cost 1 inf + 0 257.662 * * [simplify]: Extracting #1: cost 62 inf + 0 257.662 * * [simplify]: Extracting #2: cost 160 inf + 0 257.663 * * [simplify]: Extracting #3: cost 175 inf + 255 257.664 * * [simplify]: Extracting #4: cost 168 inf + 1711 257.664 * * [simplify]: Extracting #5: cost 168 inf + 2014 257.666 * * [simplify]: Extracting #6: cost 144 inf + 8679 257.675 * * [simplify]: Extracting #7: cost 58 inf + 53121 257.697 * * [simplify]: Extracting #8: cost 1 inf + 88121 257.725 * * [simplify]: Extracting #9: cost 0 inf + 85464 257.753 * [simplify]: Simplified to (+ (log a1) (+ (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (- (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)))) 257.754 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (+ (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (- (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 257.754 * * * * [progress]: [ 290 / 4148 ] simplifiying candidate # 257.754 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 257.755 * * [simplify]: iters left: 6 (23 enodes) 257.769 * * [simplify]: iters left: 5 (97 enodes) 257.804 * * [simplify]: iters left: 4 (194 enodes) 257.902 * * [simplify]: Extracting #0: cost 1 inf + 0 257.902 * * [simplify]: Extracting #1: cost 65 inf + 0 257.903 * * [simplify]: Extracting #2: cost 193 inf + 1 257.905 * * [simplify]: Extracting #3: cost 198 inf + 295 257.907 * * [simplify]: Extracting #4: cost 188 inf + 2064 257.909 * * [simplify]: Extracting #5: cost 189 inf + 2236 257.913 * * [simplify]: Extracting #6: cost 157 inf + 14145 257.937 * * [simplify]: Extracting #7: cost 50 inf + 70715 257.968 * * [simplify]: Extracting #8: cost 2 inf + 97114 258.002 * * [simplify]: Extracting #9: cost 0 inf + 98609 258.019 * [simplify]: Simplified to (- (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 258.019 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 258.019 * * * * [progress]: [ 291 / 4148 ] simplifiying candidate # 258.019 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 258.019 * * [simplify]: iters left: 6 (24 enodes) 258.027 * * [simplify]: iters left: 5 (97 enodes) 258.049 * * [simplify]: iters left: 4 (182 enodes) 258.157 * * [simplify]: Extracting #0: cost 1 inf + 0 258.158 * * [simplify]: Extracting #1: cost 57 inf + 0 258.158 * * [simplify]: Extracting #2: cost 163 inf + 1 258.160 * * [simplify]: Extracting #3: cost 172 inf + 144 258.161 * * [simplify]: Extracting #4: cost 161 inf + 1935 258.163 * * [simplify]: Extracting #5: cost 160 inf + 2369 258.164 * * [simplify]: Extracting #6: cost 157 inf + 2532 258.167 * * [simplify]: Extracting #7: cost 138 inf + 8611 258.181 * * [simplify]: Extracting #8: cost 61 inf + 45425 258.206 * * [simplify]: Extracting #9: cost 3 inf + 79886 258.234 * * [simplify]: Extracting #10: cost 0 inf + 81372 258.262 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2)))))) 258.262 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 258.263 * * * * [progress]: [ 292 / 4148 ] simplifiying candidate # 258.263 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 258.263 * * [simplify]: iters left: 6 (22 enodes) 258.276 * * [simplify]: iters left: 5 (96 enodes) 258.311 * * [simplify]: iters left: 4 (183 enodes) 258.442 * * [simplify]: Extracting #0: cost 1 inf + 0 258.442 * * [simplify]: Extracting #1: cost 81 inf + 0 258.443 * * [simplify]: Extracting #2: cost 204 inf + 1 258.444 * * [simplify]: Extracting #3: cost 208 inf + 296 258.445 * * [simplify]: Extracting #4: cost 199 inf + 1933 258.445 * * [simplify]: Extracting #5: cost 199 inf + 2236 258.447 * * [simplify]: Extracting #6: cost 188 inf + 4851 258.451 * * [simplify]: Extracting #7: cost 111 inf + 40929 258.469 * * [simplify]: Extracting #8: cost 9 inf + 99669 258.504 * * [simplify]: Extracting #9: cost 0 inf + 105458 258.539 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) 258.539 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 258.539 * * * * [progress]: [ 293 / 4148 ] simplifiying candidate # 258.539 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 258.540 * * [simplify]: iters left: 6 (23 enodes) 258.555 * * [simplify]: iters left: 5 (96 enodes) 258.589 * * [simplify]: iters left: 4 (170 enodes) 258.688 * * [simplify]: Extracting #0: cost 1 inf + 0 258.688 * * [simplify]: Extracting #1: cost 73 inf + 0 258.689 * * [simplify]: Extracting #2: cost 170 inf + 1 258.691 * * [simplify]: Extracting #3: cost 177 inf + 255 258.692 * * [simplify]: Extracting #4: cost 169 inf + 1560 258.694 * * [simplify]: Extracting #5: cost 168 inf + 2105 258.697 * * [simplify]: Extracting #6: cost 136 inf + 14096 258.711 * * [simplify]: Extracting #7: cost 64 inf + 48766 258.739 * * [simplify]: Extracting #8: cost 6 inf + 83572 258.759 * * [simplify]: Extracting #9: cost 0 inf + 87283 258.774 * [simplify]: Simplified to (+ (log (cos th)) (+ (- (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) 258.774 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (+ (- (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 258.774 * * * * [progress]: [ 294 / 4148 ] simplifiying candidate # 258.774 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 258.774 * * [simplify]: iters left: 6 (24 enodes) 258.787 * * [simplify]: iters left: 5 (98 enodes) 258.821 * * [simplify]: iters left: 4 (197 enodes) 258.913 * * [simplify]: Extracting #0: cost 1 inf + 0 258.913 * * [simplify]: Extracting #1: cost 65 inf + 0 258.913 * * [simplify]: Extracting #2: cost 181 inf + 1 258.914 * * [simplify]: Extracting #3: cost 190 inf + 144 258.915 * * [simplify]: Extracting #4: cost 181 inf + 1621 258.916 * * [simplify]: Extracting #5: cost 178 inf + 2691 258.917 * * [simplify]: Extracting #6: cost 161 inf + 7198 258.922 * * [simplify]: Extracting #7: cost 98 inf + 36457 258.938 * * [simplify]: Extracting #8: cost 26 inf + 78852 258.963 * * [simplify]: Extracting #9: cost 3 inf + 91630 258.984 * * [simplify]: Extracting #10: cost 0 inf + 93325 259.004 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))))) 259.004 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 259.005 * * * * [progress]: [ 295 / 4148 ] simplifiying candidate # 259.005 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 259.005 * * [simplify]: iters left: 6 (24 enodes) 259.013 * * [simplify]: iters left: 5 (96 enodes) 259.029 * * [simplify]: iters left: 4 (184 enodes) 259.094 * * [simplify]: Extracting #0: cost 1 inf + 0 259.094 * * [simplify]: Extracting #1: cost 58 inf + 0 259.094 * * [simplify]: Extracting #2: cost 165 inf + 1 259.095 * * [simplify]: Extracting #3: cost 175 inf + 295 259.096 * * [simplify]: Extracting #4: cost 169 inf + 1236 259.096 * * [simplify]: Extracting #5: cost 165 inf + 2408 259.097 * * [simplify]: Extracting #6: cost 149 inf + 6031 259.102 * * [simplify]: Extracting #7: cost 84 inf + 35347 259.114 * * [simplify]: Extracting #8: cost 7 inf + 79024 259.128 * * [simplify]: Extracting #9: cost 0 inf + 83570 259.159 * [simplify]: Simplified to (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 259.159 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 259.159 * * * * [progress]: [ 296 / 4148 ] simplifiying candidate # 259.160 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 259.160 * * [simplify]: iters left: 6 (23 enodes) 259.174 * * [simplify]: iters left: 5 (98 enodes) 259.209 * * [simplify]: iters left: 4 (182 enodes) 259.303 * * [simplify]: Extracting #0: cost 1 inf + 0 259.303 * * [simplify]: Extracting #1: cost 81 inf + 0 259.304 * * [simplify]: Extracting #2: cost 204 inf + 1 259.306 * * [simplify]: Extracting #3: cost 210 inf + 184 259.308 * * [simplify]: Extracting #4: cost 200 inf + 1972 259.309 * * [simplify]: Extracting #5: cost 202 inf + 1972 259.313 * * [simplify]: Extracting #6: cost 182 inf + 7217 259.327 * * [simplify]: Extracting #7: cost 87 inf + 55550 259.348 * * [simplify]: Extracting #8: cost 9 inf + 104206 259.370 * * [simplify]: Extracting #9: cost 0 inf + 108978 259.403 * * [simplify]: Extracting #10: cost 0 inf + 108768 259.421 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 259.421 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 259.422 * * * * [progress]: [ 297 / 4148 ] simplifiying candidate # 259.422 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 259.422 * * [simplify]: iters left: 6 (23 enodes) 259.429 * * [simplify]: iters left: 5 (96 enodes) 259.456 * * [simplify]: iters left: 4 (169 enodes) 259.547 * * [simplify]: Extracting #0: cost 1 inf + 0 259.547 * * [simplify]: Extracting #1: cost 73 inf + 0 259.548 * * [simplify]: Extracting #2: cost 170 inf + 1 259.550 * * [simplify]: Extracting #3: cost 178 inf + 255 259.552 * * [simplify]: Extracting #4: cost 172 inf + 1296 259.553 * * [simplify]: Extracting #5: cost 171 inf + 1841 259.555 * * [simplify]: Extracting #6: cost 143 inf + 10267 259.561 * * [simplify]: Extracting #7: cost 64 inf + 48513 259.575 * * [simplify]: Extracting #8: cost 5 inf + 85250 259.589 * * [simplify]: Extracting #9: cost 0 inf + 88743 259.603 * [simplify]: Simplified to (+ (+ (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 259.603 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 259.604 * * * * [progress]: [ 298 / 4148 ] simplifiying candidate # 259.604 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 259.604 * * [simplify]: iters left: 6 (23 enodes) 259.611 * * [simplify]: iters left: 5 (96 enodes) 259.645 * * [simplify]: iters left: 4 (204 enodes) 259.771 * * [simplify]: Extracting #0: cost 1 inf + 0 259.772 * * [simplify]: Extracting #1: cost 76 inf + 0 259.773 * * [simplify]: Extracting #2: cost 194 inf + 0 259.774 * * [simplify]: Extracting #3: cost 200 inf + 295 259.776 * * [simplify]: Extracting #4: cost 192 inf + 1408 259.777 * * [simplify]: Extracting #5: cost 192 inf + 1973 259.780 * * [simplify]: Extracting #6: cost 174 inf + 6850 259.789 * * [simplify]: Extracting #7: cost 106 inf + 38845 259.817 * * [simplify]: Extracting #8: cost 16 inf + 93279 259.841 * * [simplify]: Extracting #9: cost 0 inf + 103330 259.857 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 259.858 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 259.858 * * * * [progress]: [ 299 / 4148 ] simplifiying candidate # 259.858 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 259.858 * * [simplify]: iters left: 6 (23 enodes) 259.865 * * [simplify]: iters left: 5 (94 enodes) 259.883 * * [simplify]: iters left: 4 (176 enodes) 259.944 * * [simplify]: Extracting #0: cost 1 inf + 0 259.945 * * [simplify]: Extracting #1: cost 65 inf + 0 259.945 * * [simplify]: Extracting #2: cost 160 inf + 0 259.946 * * [simplify]: Extracting #3: cost 172 inf + 144 259.948 * * [simplify]: Extracting #4: cost 167 inf + 1105 259.949 * * [simplify]: Extracting #5: cost 165 inf + 1842 259.950 * * [simplify]: Extracting #6: cost 163 inf + 1884 259.953 * * [simplify]: Extracting #7: cost 145 inf + 6609 259.963 * * [simplify]: Extracting #8: cost 75 inf + 41377 259.987 * * [simplify]: Extracting #9: cost 11 inf + 79572 260.014 * * [simplify]: Extracting #10: cost 0 inf + 84824 260.041 * [simplify]: Simplified to (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) 260.042 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 260.042 * * * * [progress]: [ 300 / 4148 ] simplifiying candidate # 260.042 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 260.043 * * [simplify]: iters left: 6 (21 enodes) 260.052 * * [simplify]: iters left: 5 (86 enodes) 260.068 * * [simplify]: iters left: 4 (198 enodes) 260.160 * * [simplify]: Extracting #0: cost 1 inf + 0 260.161 * * [simplify]: Extracting #1: cost 60 inf + 0 260.162 * * [simplify]: Extracting #2: cost 191 inf + 1 260.163 * * [simplify]: Extracting #3: cost 200 inf + 256 260.165 * * [simplify]: Extracting #4: cost 190 inf + 2348 260.167 * * [simplify]: Extracting #5: cost 188 inf + 2955 260.169 * * [simplify]: Extracting #6: cost 171 inf + 6840 260.175 * * [simplify]: Extracting #7: cost 131 inf + 23094 260.185 * * [simplify]: Extracting #8: cost 44 inf + 71680 260.205 * * [simplify]: Extracting #9: cost 4 inf + 95543 260.239 * * [simplify]: Extracting #10: cost 0 inf + 97488 260.271 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 260.271 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 260.272 * * * * [progress]: [ 301 / 4148 ] simplifiying candidate # 260.272 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 260.273 * * [simplify]: iters left: 6 (22 enodes) 260.284 * * [simplify]: iters left: 5 (86 enodes) 260.302 * * [simplify]: iters left: 4 (186 enodes) 260.392 * * [simplify]: Extracting #0: cost 1 inf + 0 260.392 * * [simplify]: Extracting #1: cost 52 inf + 0 260.393 * * [simplify]: Extracting #2: cost 160 inf + 1 260.394 * * [simplify]: Extracting #3: cost 172 inf + 296 260.395 * * [simplify]: Extracting #4: cost 162 inf + 2066 260.397 * * [simplify]: Extracting #5: cost 160 inf + 2824 260.398 * * [simplify]: Extracting #6: cost 159 inf + 2825 260.401 * * [simplify]: Extracting #7: cost 130 inf + 12449 260.417 * * [simplify]: Extracting #8: cost 32 inf + 62024 260.440 * * [simplify]: Extracting #9: cost 0 inf + 80310 260.454 * [simplify]: Simplified to (- (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (log (cbrt (cbrt (sqrt 2)))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) 260.454 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (- (log (cos th)) (log (cbrt (cbrt (sqrt 2)))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 260.454 * * * * [progress]: [ 302 / 4148 ] simplifiying candidate # 260.455 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 260.455 * * [simplify]: iters left: 6 (23 enodes) 260.470 * * [simplify]: iters left: 5 (96 enodes) 260.491 * * [simplify]: iters left: 4 (199 enodes) 260.597 * * [simplify]: Extracting #0: cost 1 inf + 0 260.598 * * [simplify]: Extracting #1: cost 76 inf + 0 260.599 * * [simplify]: Extracting #2: cost 201 inf + 1 260.600 * * [simplify]: Extracting #3: cost 208 inf + 448 260.602 * * [simplify]: Extracting #4: cost 198 inf + 2519 260.603 * * [simplify]: Extracting #5: cost 199 inf + 2691 260.606 * * [simplify]: Extracting #6: cost 182 inf + 7216 260.612 * * [simplify]: Extracting #7: cost 95 inf + 49123 260.628 * * [simplify]: Extracting #8: cost 6 inf + 100479 260.649 * * [simplify]: Extracting #9: cost 0 inf + 104463 260.667 * [simplify]: Simplified to (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 260.667 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 260.667 * * * * [progress]: [ 303 / 4148 ] simplifiying candidate # 260.668 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 260.668 * * [simplify]: iters left: 6 (24 enodes) 260.684 * * [simplify]: iters left: 5 (96 enodes) 260.703 * * [simplify]: iters left: 4 (186 enodes) 260.770 * * [simplify]: Extracting #0: cost 1 inf + 0 260.771 * * [simplify]: Extracting #1: cost 68 inf + 0 260.771 * * [simplify]: Extracting #2: cost 167 inf + 1 260.772 * * [simplify]: Extracting #3: cost 179 inf + 184 260.772 * * [simplify]: Extracting #4: cost 169 inf + 1904 260.773 * * [simplify]: Extracting #5: cost 168 inf + 2560 260.775 * * [simplify]: Extracting #6: cost 144 inf + 9818 260.787 * * [simplify]: Extracting #7: cost 60 inf + 50090 260.817 * * [simplify]: Extracting #8: cost 0 inf + 86329 260.844 * * [simplify]: Extracting #9: cost 0 inf + 86259 260.858 * [simplify]: Simplified to (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) 260.858 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 260.858 * * * * [progress]: [ 304 / 4148 ] simplifiying candidate # 260.858 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 260.858 * * [simplify]: iters left: 6 (22 enodes) 260.864 * * [simplify]: iters left: 5 (87 enodes) 260.889 * * [simplify]: iters left: 4 (199 enodes) 261.000 * * [simplify]: Extracting #0: cost 1 inf + 0 261.000 * * [simplify]: Extracting #1: cost 60 inf + 0 261.000 * * [simplify]: Extracting #2: cost 175 inf + 1 261.001 * * [simplify]: Extracting #3: cost 187 inf + 296 261.002 * * [simplify]: Extracting #4: cost 177 inf + 2237 261.003 * * [simplify]: Extracting #5: cost 177 inf + 2691 261.004 * * [simplify]: Extracting #6: cost 150 inf + 11043 261.014 * * [simplify]: Extracting #7: cost 35 inf + 70798 261.040 * * [simplify]: Extracting #8: cost 0 inf + 92450 261.070 * * [simplify]: Extracting #9: cost 0 inf + 92020 261.089 * [simplify]: Simplified to (- (+ (log a1) (- (log (cos th)) (log (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 261.089 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (log (cos th)) (log (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 261.089 * * * * [progress]: [ 305 / 4148 ] simplifiying candidate # 261.089 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 261.090 * * [simplify]: iters left: 6 (22 enodes) 261.096 * * [simplify]: iters left: 5 (85 enodes) 261.115 * * [simplify]: iters left: 4 (186 enodes) 261.195 * * [simplify]: Extracting #0: cost 1 inf + 0 261.195 * * [simplify]: Extracting #1: cost 53 inf + 0 261.196 * * [simplify]: Extracting #2: cost 158 inf + 1 261.197 * * [simplify]: Extracting #3: cost 173 inf + 144 261.198 * * [simplify]: Extracting #4: cost 164 inf + 1752 261.200 * * [simplify]: Extracting #5: cost 163 inf + 2408 261.201 * * [simplify]: Extracting #6: cost 159 inf + 2732 261.203 * * [simplify]: Extracting #7: cost 121 inf + 18054 261.213 * * [simplify]: Extracting #8: cost 17 inf + 72101 261.226 * * [simplify]: Extracting #9: cost 0 inf + 81805 261.250 * [simplify]: Simplified to (+ (log a1) (- (- (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) 261.250 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 261.250 * * * * [progress]: [ 306 / 4148 ] simplifiying candidate # 261.251 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 261.251 * * [simplify]: iters left: 6 (24 enodes) 261.265 * * [simplify]: iters left: 5 (98 enodes) 261.282 * * [simplify]: iters left: 4 (198 enodes) 261.398 * * [simplify]: Extracting #0: cost 1 inf + 0 261.398 * * [simplify]: Extracting #1: cost 76 inf + 0 261.398 * * [simplify]: Extracting #2: cost 202 inf + 1 261.399 * * [simplify]: Extracting #3: cost 210 inf + 367 261.400 * * [simplify]: Extracting #4: cost 202 inf + 2125 261.401 * * [simplify]: Extracting #5: cost 202 inf + 2539 261.402 * * [simplify]: Extracting #6: cost 188 inf + 5967 261.408 * * [simplify]: Extracting #7: cost 98 inf + 51141 261.427 * * [simplify]: Extracting #8: cost 7 inf + 105138 261.462 * * [simplify]: Extracting #9: cost 0 inf + 108645 261.492 * * [simplify]: Extracting #10: cost 0 inf + 107985 261.510 * [simplify]: Simplified to (+ (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cos th)) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 261.511 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log a1) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cos th)) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 261.511 * * * * [progress]: [ 307 / 4148 ] simplifiying candidate # 261.511 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 261.512 * * [simplify]: iters left: 6 (24 enodes) 261.527 * * [simplify]: iters left: 5 (96 enodes) 261.559 * * [simplify]: iters left: 4 (185 enodes) 261.647 * * [simplify]: Extracting #0: cost 1 inf + 0 261.647 * * [simplify]: Extracting #1: cost 68 inf + 0 261.647 * * [simplify]: Extracting #2: cost 168 inf + 1 261.648 * * [simplify]: Extracting #3: cost 181 inf + 144 261.649 * * [simplify]: Extracting #4: cost 171 inf + 2055 261.649 * * [simplify]: Extracting #5: cost 171 inf + 2408 261.650 * * [simplify]: Extracting #6: cost 162 inf + 3809 261.653 * * [simplify]: Extracting #7: cost 107 inf + 24524 261.664 * * [simplify]: Extracting #8: cost 15 inf + 78065 261.682 * * [simplify]: Extracting #9: cost 0 inf + 87765 261.697 * * [simplify]: Extracting #10: cost 0 inf + 87762 261.719 * [simplify]: Simplified to (+ (+ (+ (log (cos th)) (log a1)) (- (- (- (- (- (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 261.719 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (+ (log (cos th)) (log a1)) (- (- (- (- (- (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 261.720 * * * * [progress]: [ 308 / 4148 ] simplifiying candidate # 261.720 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 261.720 * * [simplify]: iters left: 6 (23 enodes) 261.733 * * [simplify]: iters left: 5 (93 enodes) 261.767 * * [simplify]: iters left: 4 (202 enodes) 261.860 * * [simplify]: Extracting #0: cost 1 inf + 0 261.861 * * [simplify]: Extracting #1: cost 71 inf + 0 261.861 * * [simplify]: Extracting #2: cost 192 inf + 1 261.862 * * [simplify]: Extracting #3: cost 203 inf + 407 261.863 * * [simplify]: Extracting #4: cost 195 inf + 1914 261.864 * * [simplify]: Extracting #5: cost 194 inf + 2540 261.865 * * [simplify]: Extracting #6: cost 183 inf + 5003 261.870 * * [simplify]: Extracting #7: cost 105 inf + 40519 261.885 * * [simplify]: Extracting #8: cost 7 inf + 98727 261.901 * * [simplify]: Extracting #9: cost 0 inf + 102037 261.926 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) 261.926 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (cos th)) (+ (log (cbrt (sqrt 2))) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 261.926 * * * * [progress]: [ 309 / 4148 ] simplifiying candidate # 261.927 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 261.927 * * [simplify]: iters left: 6 (23 enodes) 261.943 * * [simplify]: iters left: 5 (91 enodes) 261.974 * * [simplify]: iters left: 4 (189 enodes) 262.073 * * [simplify]: Extracting #0: cost 1 inf + 0 262.074 * * [simplify]: Extracting #1: cost 61 inf + 0 262.074 * * [simplify]: Extracting #2: cost 158 inf + 1 262.075 * * [simplify]: Extracting #3: cost 174 inf + 256 262.077 * * [simplify]: Extracting #4: cost 168 inf + 1540 262.078 * * [simplify]: Extracting #5: cost 166 inf + 2409 262.081 * * [simplify]: Extracting #6: cost 145 inf + 8380 262.094 * * [simplify]: Extracting #7: cost 61 inf + 48896 262.119 * * [simplify]: Extracting #8: cost 2 inf + 84998 262.146 * * [simplify]: Extracting #9: cost 0 inf + 84454 262.169 * * [simplify]: Extracting #10: cost 0 inf + 84344 262.182 * [simplify]: Simplified to (+ (+ (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 262.182 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 262.182 * * * * [progress]: [ 310 / 4148 ] simplifiying candidate # 262.183 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 262.183 * * [simplify]: iters left: 6 (23 enodes) 262.190 * * [simplify]: iters left: 5 (97 enodes) 262.224 * * [simplify]: iters left: 4 (193 enodes) 262.312 * * [simplify]: Extracting #0: cost 1 inf + 0 262.312 * * [simplify]: Extracting #1: cost 65 inf + 0 262.313 * * [simplify]: Extracting #2: cost 196 inf + 1 262.315 * * [simplify]: Extracting #3: cost 199 inf + 560 262.316 * * [simplify]: Extracting #4: cost 191 inf + 2197 262.318 * * [simplify]: Extracting #5: cost 191 inf + 2500 262.322 * * [simplify]: Extracting #6: cost 162 inf + 13796 262.341 * * [simplify]: Extracting #7: cost 60 inf + 64606 262.373 * * [simplify]: Extracting #8: cost 3 inf + 97541 262.408 * * [simplify]: Extracting #9: cost 0 inf + 99346 262.442 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 262.442 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 262.442 * * * * [progress]: [ 311 / 4148 ] simplifiying candidate # 262.442 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 262.443 * * [simplify]: iters left: 6 (24 enodes) 262.460 * * [simplify]: iters left: 5 (97 enodes) 262.478 * * [simplify]: iters left: 4 (181 enodes) 262.549 * * [simplify]: Extracting #0: cost 1 inf + 0 262.550 * * [simplify]: Extracting #1: cost 57 inf + 0 262.550 * * [simplify]: Extracting #2: cost 164 inf + 1 262.551 * * [simplify]: Extracting #3: cost 171 inf + 367 262.551 * * [simplify]: Extracting #4: cost 163 inf + 1824 262.552 * * [simplify]: Extracting #5: cost 162 inf + 2369 262.553 * * [simplify]: Extracting #6: cost 160 inf + 2411 262.555 * * [simplify]: Extracting #7: cost 132 inf + 12691 262.564 * * [simplify]: Extracting #8: cost 33 inf + 61317 262.586 * * [simplify]: Extracting #9: cost 0 inf + 81625 262.600 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) 262.600 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 262.601 * * * * [progress]: [ 312 / 4148 ] simplifiying candidate # 262.601 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 262.601 * * [simplify]: iters left: 6 (22 enodes) 262.608 * * [simplify]: iters left: 5 (96 enodes) 262.633 * * [simplify]: iters left: 4 (182 enodes) 262.738 * * [simplify]: Extracting #0: cost 1 inf + 0 262.738 * * [simplify]: Extracting #1: cost 81 inf + 0 262.739 * * [simplify]: Extracting #2: cost 205 inf + 1 262.739 * * [simplify]: Extracting #3: cost 209 inf + 296 262.740 * * [simplify]: Extracting #4: cost 201 inf + 1782 262.741 * * [simplify]: Extracting #5: cost 201 inf + 2236 262.742 * * [simplify]: Extracting #6: cost 175 inf + 10555 262.753 * * [simplify]: Extracting #7: cost 60 inf + 70017 262.769 * * [simplify]: Extracting #8: cost 4 inf + 103654 262.788 * * [simplify]: Extracting #9: cost 0 inf + 105780 262.805 * [simplify]: Simplified to (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 262.805 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 262.806 * * * * [progress]: [ 313 / 4148 ] simplifiying candidate # 262.806 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 262.806 * * [simplify]: iters left: 6 (23 enodes) 262.813 * * [simplify]: iters left: 5 (96 enodes) 262.830 * * [simplify]: iters left: 4 (169 enodes) 262.949 * * [simplify]: Extracting #0: cost 1 inf + 0 262.949 * * [simplify]: Extracting #1: cost 73 inf + 0 262.949 * * [simplify]: Extracting #2: cost 171 inf + 1 262.950 * * [simplify]: Extracting #3: cost 177 inf + 366 262.951 * * [simplify]: Extracting #4: cost 170 inf + 1732 262.952 * * [simplify]: Extracting #5: cost 170 inf + 2105 262.953 * * [simplify]: Extracting #6: cost 156 inf + 5236 262.955 * * [simplify]: Extracting #7: cost 117 inf + 20362 262.967 * * [simplify]: Extracting #8: cost 41 inf + 62017 262.988 * * [simplify]: Extracting #9: cost 4 inf + 85309 263.004 * * [simplify]: Extracting #10: cost 0 inf + 87605 263.031 * [simplify]: Simplified to (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 263.032 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 263.032 * * * * [progress]: [ 314 / 4148 ] simplifiying candidate # 263.032 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 263.033 * * [simplify]: iters left: 6 (24 enodes) 263.048 * * [simplify]: iters left: 5 (98 enodes) 263.080 * * [simplify]: iters left: 4 (195 enodes) 263.173 * * [simplify]: Extracting #0: cost 1 inf + 0 263.173 * * [simplify]: Extracting #1: cost 65 inf + 0 263.174 * * [simplify]: Extracting #2: cost 182 inf + 1 263.175 * * [simplify]: Extracting #3: cost 190 inf + 256 263.175 * * [simplify]: Extracting #4: cost 182 inf + 1904 263.176 * * [simplify]: Extracting #5: cost 180 inf + 2691 263.177 * * [simplify]: Extracting #6: cost 171 inf + 4271 263.186 * * [simplify]: Extracting #7: cost 100 inf + 36992 263.209 * * [simplify]: Extracting #8: cost 12 inf + 86142 263.227 * * [simplify]: Extracting #9: cost 0 inf + 93607 263.247 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))))) 263.247 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 263.247 * * * * [progress]: [ 315 / 4148 ] simplifiying candidate # 263.248 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 263.248 * * [simplify]: iters left: 6 (24 enodes) 263.256 * * [simplify]: iters left: 5 (96 enodes) 263.273 * * [simplify]: iters left: 4 (182 enodes) 263.340 * * [simplify]: Extracting #0: cost 1 inf + 0 263.340 * * [simplify]: Extracting #1: cost 58 inf + 0 263.341 * * [simplify]: Extracting #2: cost 166 inf + 1 263.341 * * [simplify]: Extracting #3: cost 176 inf + 295 263.342 * * [simplify]: Extracting #4: cost 170 inf + 1519 263.343 * * [simplify]: Extracting #5: cost 167 inf + 2408 263.344 * * [simplify]: Extracting #6: cost 158 inf + 3929 263.346 * * [simplify]: Extracting #7: cost 107 inf + 23832 263.364 * * [simplify]: Extracting #8: cost 21 inf + 71489 263.384 * * [simplify]: Extracting #9: cost 0 inf + 83962 263.399 * [simplify]: Simplified to (+ (- (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 263.400 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (+ (- (- (log (cos th)) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 263.400 * * * * [progress]: [ 316 / 4148 ] simplifiying candidate # 263.400 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 263.400 * * [simplify]: iters left: 6 (23 enodes) 263.409 * * [simplify]: iters left: 5 (98 enodes) 263.442 * * [simplify]: iters left: 4 (181 enodes) 263.546 * * [simplify]: Extracting #0: cost 1 inf + 0 263.546 * * [simplify]: Extracting #1: cost 81 inf + 0 263.547 * * [simplify]: Extracting #2: cost 205 inf + 1 263.547 * * [simplify]: Extracting #3: cost 211 inf + 184 263.548 * * [simplify]: Extracting #4: cost 202 inf + 1972 263.549 * * [simplify]: Extracting #5: cost 204 inf + 1972 263.550 * * [simplify]: Extracting #6: cost 185 inf + 6456 263.563 * * [simplify]: Extracting #7: cost 79 inf + 60510 263.600 * * [simplify]: Extracting #8: cost 4 inf + 108051 263.634 * * [simplify]: Extracting #9: cost 0 inf + 109580 263.669 * * [simplify]: Extracting #10: cost 0 inf + 109300 263.703 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 263.703 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 263.703 * * * * [progress]: [ 317 / 4148 ] simplifiying candidate # 263.704 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 263.704 * * [simplify]: iters left: 6 (23 enodes) 263.717 * * [simplify]: iters left: 5 (96 enodes) 263.749 * * [simplify]: iters left: 4 (168 enodes) 263.849 * * [simplify]: Extracting #0: cost 1 inf + 0 263.849 * * [simplify]: Extracting #1: cost 73 inf + 0 263.850 * * [simplify]: Extracting #2: cost 171 inf + 1 263.851 * * [simplify]: Extracting #3: cost 180 inf + 144 263.852 * * [simplify]: Extracting #4: cost 173 inf + 1407 263.854 * * [simplify]: Extracting #5: cost 173 inf + 1841 263.856 * * [simplify]: Extracting #6: cost 150 inf + 7814 263.871 * * [simplify]: Extracting #7: cost 61 inf + 55000 263.899 * * [simplify]: Extracting #8: cost 8 inf + 86248 263.928 * * [simplify]: Extracting #9: cost 0 inf + 89245 263.943 * * [simplify]: Extracting #10: cost 0 inf + 89065 263.957 * [simplify]: Simplified to (+ (+ (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))))) (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 263.957 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))))) (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 263.957 * * * * [progress]: [ 318 / 4148 ] simplifiying candidate # 263.958 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 263.958 * * [simplify]: iters left: 6 (23 enodes) 263.966 * * [simplify]: iters left: 5 (96 enodes) 264.003 * * [simplify]: iters left: 4 (192 enodes) 264.090 * * [simplify]: Extracting #0: cost 1 inf + 0 264.090 * * [simplify]: Extracting #1: cost 75 inf + 0 264.091 * * [simplify]: Extracting #2: cost 193 inf + 0 264.092 * * [simplify]: Extracting #3: cost 200 inf + 184 264.092 * * [simplify]: Extracting #4: cost 190 inf + 1973 264.093 * * [simplify]: Extracting #5: cost 192 inf + 1973 264.094 * * [simplify]: Extracting #6: cost 181 inf + 4115 264.099 * * [simplify]: Extracting #7: cost 110 inf + 37476 264.113 * * [simplify]: Extracting #8: cost 12 inf + 95361 264.131 * * [simplify]: Extracting #9: cost 0 inf + 101714 264.147 * * [simplify]: Extracting #10: cost 0 inf + 101434 264.168 * [simplify]: Simplified to (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) 264.168 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (log (cos th)) (log a1)) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 264.169 * * * * [progress]: [ 319 / 4148 ] simplifiying candidate # 264.169 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 264.169 * * [simplify]: iters left: 6 (23 enodes) 264.183 * * [simplify]: iters left: 5 (94 enodes) 264.199 * * [simplify]: iters left: 4 (175 enodes) 264.279 * * [simplify]: Extracting #0: cost 1 inf + 0 264.280 * * [simplify]: Extracting #1: cost 65 inf + 0 264.280 * * [simplify]: Extracting #2: cost 161 inf + 0 264.281 * * [simplify]: Extracting #3: cost 173 inf + 144 264.282 * * [simplify]: Extracting #4: cost 167 inf + 1539 264.284 * * [simplify]: Extracting #5: cost 167 inf + 1842 264.286 * * [simplify]: Extracting #6: cost 148 inf + 6277 264.298 * * [simplify]: Extracting #7: cost 65 inf + 47692 264.324 * * [simplify]: Extracting #8: cost 5 inf + 84805 264.352 * * [simplify]: Extracting #9: cost 0 inf + 85476 264.379 * * [simplify]: Extracting #10: cost 0 inf + 85146 264.407 * [simplify]: Simplified to (+ (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) 264.407 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 264.408 * * * * [progress]: [ 320 / 4148 ] simplifiying candidate # 264.408 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 264.408 * * [simplify]: iters left: 6 (22 enodes) 264.415 * * [simplify]: iters left: 5 (91 enodes) 264.433 * * [simplify]: iters left: 4 (195 enodes) 264.524 * * [simplify]: Extracting #0: cost 1 inf + 0 264.524 * * [simplify]: Extracting #1: cost 60 inf + 0 264.525 * * [simplify]: Extracting #2: cost 184 inf + 1 264.527 * * [simplify]: Extracting #3: cost 193 inf + 560 264.528 * * [simplify]: Extracting #4: cost 188 inf + 1914 264.530 * * [simplify]: Extracting #5: cost 188 inf + 2046 264.533 * * [simplify]: Extracting #6: cost 165 inf + 9315 264.547 * * [simplify]: Extracting #7: cost 68 inf + 57630 264.562 * * [simplify]: Extracting #8: cost 0 inf + 96350 264.579 * [simplify]: Simplified to (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 264.579 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 264.579 * * * * [progress]: [ 321 / 4148 ] simplifiying candidate # 264.580 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 264.580 * * [simplify]: iters left: 6 (23 enodes) 264.586 * * [simplify]: iters left: 5 (91 enodes) 264.612 * * [simplify]: iters left: 4 (183 enodes) 264.699 * * [simplify]: Extracting #0: cost 1 inf + 0 264.699 * * [simplify]: Extracting #1: cost 52 inf + 0 264.699 * * [simplify]: Extracting #2: cost 156 inf + 1 264.700 * * [simplify]: Extracting #3: cost 170 inf + 255 264.701 * * [simplify]: Extracting #4: cost 163 inf + 1783 264.702 * * [simplify]: Extracting #5: cost 163 inf + 1915 264.702 * * [simplify]: Extracting #6: cost 161 inf + 1957 264.707 * * [simplify]: Extracting #7: cost 112 inf + 19380 264.716 * * [simplify]: Extracting #8: cost 20 inf + 68551 264.730 * * [simplify]: Extracting #9: cost 0 inf + 80524 264.743 * * [simplify]: Extracting #10: cost 0 inf + 80384 264.765 * [simplify]: Simplified to (+ (log a1) (- (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))) 264.765 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (log (cos th)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 264.765 * * * * [progress]: [ 322 / 4148 ] simplifiying candidate # 264.765 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 264.765 * * [simplify]: iters left: 6 (22 enodes) 264.772 * * [simplify]: iters left: 5 (93 enodes) 264.791 * * [simplify]: iters left: 4 (191 enodes) 264.868 * * [simplify]: Extracting #0: cost 1 inf + 0 264.868 * * [simplify]: Extracting #1: cost 74 inf + 0 264.868 * * [simplify]: Extracting #2: cost 188 inf + 1 264.869 * * [simplify]: Extracting #3: cost 196 inf + 296 264.870 * * [simplify]: Extracting #4: cost 192 inf + 1368 264.871 * * [simplify]: Extracting #5: cost 191 inf + 1782 264.872 * * [simplify]: Extracting #6: cost 170 inf + 7952 264.881 * * [simplify]: Extracting #7: cost 81 inf + 51567 264.896 * * [simplify]: Extracting #8: cost 3 inf + 98303 264.913 * * [simplify]: Extracting #9: cost 0 inf + 100280 264.943 * [simplify]: Simplified to (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 264.943 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 264.944 * * * * [progress]: [ 323 / 4148 ] simplifiying candidate # 264.945 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 264.945 * * [simplify]: iters left: 6 (23 enodes) 264.958 * * [simplify]: iters left: 5 (93 enodes) 264.989 * * [simplify]: iters left: 4 (174 enodes) 265.081 * * [simplify]: Extracting #0: cost 1 inf + 0 265.081 * * [simplify]: Extracting #1: cost 66 inf + 0 265.082 * * [simplify]: Extracting #2: cost 160 inf + 1 265.083 * * [simplify]: Extracting #3: cost 171 inf + 256 265.084 * * [simplify]: Extracting #4: cost 168 inf + 1126 265.086 * * [simplify]: Extracting #5: cost 166 inf + 1651 265.087 * * [simplify]: Extracting #6: cost 164 inf + 1693 265.090 * * [simplify]: Extracting #7: cost 129 inf + 13263 265.107 * * [simplify]: Extracting #8: cost 40 inf + 58678 265.121 * * [simplify]: Extracting #9: cost 1 inf + 83343 265.144 * * [simplify]: Extracting #10: cost 0 inf + 84126 265.158 * [simplify]: Simplified to (+ (- (+ (log (cos th)) (- (- (log a1) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) 265.158 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (+ (log (cos th)) (- (- (log a1) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 265.158 * * * * [progress]: [ 324 / 4148 ] simplifiying candidate # 265.158 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 265.159 * * [simplify]: iters left: 6 (23 enodes) 265.165 * * [simplify]: iters left: 5 (92 enodes) 265.187 * * [simplify]: iters left: 4 (197 enodes) 265.253 * * [simplify]: Extracting #0: cost 1 inf + 0 265.253 * * [simplify]: Extracting #1: cost 60 inf + 0 265.254 * * [simplify]: Extracting #2: cost 171 inf + 1 265.254 * * [simplify]: Extracting #3: cost 185 inf + 256 265.255 * * [simplify]: Extracting #4: cost 180 inf + 1691 265.256 * * [simplify]: Extracting #5: cost 178 inf + 2237 265.257 * * [simplify]: Extracting #6: cost 151 inf + 12446 265.270 * * [simplify]: Extracting #7: cost 55 inf + 61256 265.290 * * [simplify]: Extracting #8: cost 3 inf + 93256 265.306 * * [simplify]: Extracting #9: cost 0 inf + 95062 265.329 * [simplify]: Simplified to (- (+ (+ (- (log (cbrt (cbrt (sqrt 2))))) (log a1)) (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (log (cbrt (cbrt (sqrt 2))))) 265.329 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (- (log (cbrt (cbrt (sqrt 2))))) (log a1)) (- (+ (log (cos th)) (log a1)) (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 265.329 * * * * [progress]: [ 325 / 4148 ] simplifiying candidate # 265.330 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 265.330 * * [simplify]: iters left: 6 (23 enodes) 265.336 * * [simplify]: iters left: 5 (90 enodes) 265.353 * * [simplify]: iters left: 4 (184 enodes) 265.427 * * [simplify]: Extracting #0: cost 1 inf + 0 265.428 * * [simplify]: Extracting #1: cost 53 inf + 0 265.428 * * [simplify]: Extracting #2: cost 157 inf + 1 265.429 * * [simplify]: Extracting #3: cost 173 inf + 296 265.429 * * [simplify]: Extracting #4: cost 167 inf + 1822 265.430 * * [simplify]: Extracting #5: cost 167 inf + 1954 265.431 * * [simplify]: Extracting #6: cost 152 inf + 5397 265.435 * * [simplify]: Extracting #7: cost 84 inf + 34612 265.455 * * [simplify]: Extracting #8: cost 10 inf + 76059 265.472 * * [simplify]: Extracting #9: cost 0 inf + 82232 265.487 * [simplify]: Simplified to (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) 265.487 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 265.488 * * * * [progress]: [ 326 / 4148 ] simplifiying candidate # 265.488 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 265.488 * * [simplify]: iters left: 6 (23 enodes) 265.495 * * [simplify]: iters left: 5 (95 enodes) 265.526 * * [simplify]: iters left: 4 (190 enodes) 265.604 * * [simplify]: Extracting #0: cost 1 inf + 0 265.605 * * [simplify]: Extracting #1: cost 74 inf + 0 265.605 * * [simplify]: Extracting #2: cost 187 inf + 1 265.606 * * [simplify]: Extracting #3: cost 196 inf + 295 265.607 * * [simplify]: Extracting #4: cost 193 inf + 1235 265.607 * * [simplify]: Extracting #5: cost 193 inf + 1518 265.608 * * [simplify]: Extracting #6: cost 173 inf + 6666 265.616 * * [simplify]: Extracting #7: cost 75 inf + 57698 265.642 * * [simplify]: Extracting #8: cost 3 inf + 102493 265.659 * * [simplify]: Extracting #9: cost 0 inf + 102677 265.681 * [simplify]: Simplified to (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) 265.682 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (+ (log (cos th)) (log a1)) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 265.682 * * * * [progress]: [ 327 / 4148 ] simplifiying candidate # 265.682 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 265.683 * * [simplify]: iters left: 6 (23 enodes) 265.695 * * [simplify]: iters left: 5 (93 enodes) 265.726 * * [simplify]: iters left: 4 (173 enodes) 265.808 * * [simplify]: Extracting #0: cost 1 inf + 0 265.809 * * [simplify]: Extracting #1: cost 66 inf + 0 265.809 * * [simplify]: Extracting #2: cost 160 inf + 1 265.810 * * [simplify]: Extracting #3: cost 173 inf + 144 265.810 * * [simplify]: Extracting #4: cost 170 inf + 1013 265.811 * * [simplify]: Extracting #5: cost 169 inf + 1387 265.812 * * [simplify]: Extracting #6: cost 148 inf + 6617 265.818 * * [simplify]: Extracting #7: cost 55 inf + 51213 265.831 * * [simplify]: Extracting #8: cost 5 inf + 82084 265.845 * * [simplify]: Extracting #9: cost 0 inf + 85356 265.858 * [simplify]: Simplified to (+ (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 265.858 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (+ (log (cos th)) (log a1)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 265.859 * * * * [progress]: [ 328 / 4148 ] simplifiying candidate # 265.859 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 265.859 * * [simplify]: iters left: 6 (22 enodes) 265.865 * * [simplify]: iters left: 5 (90 enodes) 265.882 * * [simplify]: iters left: 4 (191 enodes) 265.957 * * [simplify]: Extracting #0: cost 1 inf + 0 265.957 * * [simplify]: Extracting #1: cost 68 inf + 0 265.957 * * [simplify]: Extracting #2: cost 181 inf + 0 265.960 * * [simplify]: Extracting #3: cost 192 inf + 144 265.961 * * [simplify]: Extracting #4: cost 187 inf + 1125 265.962 * * [simplify]: Extracting #5: cost 187 inf + 1518 265.963 * * [simplify]: Extracting #6: cost 164 inf + 8383 265.973 * * [simplify]: Extracting #7: cost 82 inf + 47757 265.997 * * [simplify]: Extracting #8: cost 1 inf + 95723 266.012 * * [simplify]: Extracting #9: cost 0 inf + 96184 266.027 * [simplify]: Simplified to (- (+ (log a1) (+ (log (cos th)) (log a1))) (+ (+ (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 266.027 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (+ (log (cos th)) (log a1))) (+ (+ (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.027 * * * * [progress]: [ 329 / 4148 ] simplifiying candidate # 266.028 * [simplify]: Simplifying (- (- (- (+ (log (cos th)) (log a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 266.028 * * [simplify]: iters left: 6 (22 enodes) 266.034 * * [simplify]: iters left: 5 (88 enodes) 266.064 * * [simplify]: iters left: 4 (178 enodes) 266.122 * * [simplify]: Extracting #0: cost 1 inf + 0 266.122 * * [simplify]: Extracting #1: cost 58 inf + 0 266.122 * * [simplify]: Extracting #2: cost 151 inf + 0 266.123 * * [simplify]: Extracting #3: cost 167 inf + 144 266.123 * * [simplify]: Extracting #4: cost 164 inf + 1145 266.124 * * [simplify]: Extracting #5: cost 164 inf + 1387 266.125 * * [simplify]: Extracting #6: cost 162 inf + 1429 266.126 * * [simplify]: Extracting #7: cost 139 inf + 7304 266.132 * * [simplify]: Extracting #8: cost 48 inf + 51150 266.144 * * [simplify]: Extracting #9: cost 6 inf + 77928 266.158 * * [simplify]: Extracting #10: cost 0 inf + 81257 266.174 * * [simplify]: Extracting #11: cost 0 inf + 81187 266.191 * [simplify]: Simplified to (+ (- (+ (log (cos th)) (log a1)) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 266.191 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (+ (log (cos th)) (log a1)) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.191 * * * * [progress]: [ 330 / 4148 ] simplifiying candidate # 266.192 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 266.192 * * [simplify]: iters left: 6 (21 enodes) 266.204 * * [simplify]: iters left: 5 (87 enodes) 266.221 * * [simplify]: iters left: 4 (181 enodes) 266.302 * * [simplify]: Extracting #0: cost 1 inf + 0 266.302 * * [simplify]: Extracting #1: cost 57 inf + 0 266.302 * * [simplify]: Extracting #2: cost 173 inf + 1 266.303 * * [simplify]: Extracting #3: cost 181 inf + 408 266.304 * * [simplify]: Extracting #4: cost 170 inf + 2130 266.305 * * [simplify]: Extracting #5: cost 170 inf + 2322 266.306 * * [simplify]: Extracting #6: cost 145 inf + 10668 266.321 * * [simplify]: Extracting #7: cost 39 inf + 64851 266.338 * * [simplify]: Extracting #8: cost 0 inf + 85494 266.352 * [simplify]: Simplified to (+ (log a1) (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) 266.352 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.353 * * * * [progress]: [ 331 / 4148 ] simplifiying candidate # 266.353 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 266.353 * * [simplify]: iters left: 6 (21 enodes) 266.367 * * [simplify]: iters left: 5 (85 enodes) 266.387 * * [simplify]: iters left: 4 (169 enodes) 266.465 * * [simplify]: Extracting #0: cost 1 inf + 0 266.465 * * [simplify]: Extracting #1: cost 49 inf + 0 266.466 * * [simplify]: Extracting #2: cost 146 inf + 1 266.467 * * [simplify]: Extracting #3: cost 160 inf + 73 266.468 * * [simplify]: Extracting #4: cost 150 inf + 1310 266.470 * * [simplify]: Extracting #5: cost 146 inf + 2191 266.471 * * [simplify]: Extracting #6: cost 140 inf + 2888 266.475 * * [simplify]: Extracting #7: cost 100 inf + 18235 266.485 * * [simplify]: Extracting #8: cost 23 inf + 56799 266.496 * * [simplify]: Extracting #9: cost 0 inf + 71062 266.511 * * [simplify]: Extracting #10: cost 0 inf + 70712 266.535 * [simplify]: Simplified to (+ (- (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 266.535 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.535 * * * * [progress]: [ 332 / 4148 ] simplifiying candidate # 266.536 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 266.536 * * [simplify]: iters left: 6 (23 enodes) 266.549 * * [simplify]: iters left: 5 (97 enodes) 266.567 * * [simplify]: iters left: 4 (183 enodes) 266.633 * * [simplify]: Extracting #0: cost 1 inf + 0 266.633 * * [simplify]: Extracting #1: cost 71 inf + 0 266.634 * * [simplify]: Extracting #2: cost 181 inf + 1 266.635 * * [simplify]: Extracting #3: cost 190 inf + 184 266.635 * * [simplify]: Extracting #4: cost 179 inf + 1645 266.636 * * [simplify]: Extracting #5: cost 179 inf + 2058 266.638 * * [simplify]: Extracting #6: cost 155 inf + 9592 266.646 * * [simplify]: Extracting #7: cost 51 inf + 61469 266.672 * * [simplify]: Extracting #8: cost 6 inf + 87251 266.687 * * [simplify]: Extracting #9: cost 0 inf + 91224 266.708 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (- (+ (log (cbrt (sqrt 2))) (+ (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)))) 266.708 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (cos th)) (- (+ (log (cbrt (sqrt 2))) (+ (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.708 * * * * [progress]: [ 333 / 4148 ] simplifiying candidate # 266.708 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 266.709 * * [simplify]: iters left: 6 (23 enodes) 266.723 * * [simplify]: iters left: 5 (95 enodes) 266.754 * * [simplify]: iters left: 4 (169 enodes) 266.827 * * [simplify]: Extracting #0: cost 1 inf + 0 266.827 * * [simplify]: Extracting #1: cost 63 inf + 0 266.827 * * [simplify]: Extracting #2: cost 151 inf + 1 266.828 * * [simplify]: Extracting #3: cost 164 inf + 73 266.828 * * [simplify]: Extracting #4: cost 156 inf + 1087 266.829 * * [simplify]: Extracting #5: cost 152 inf + 1927 266.830 * * [simplify]: Extracting #6: cost 148 inf + 2281 266.831 * * [simplify]: Extracting #7: cost 129 inf + 7402 266.833 * * [simplify]: Extracting #8: cost 104 inf + 16900 266.842 * * [simplify]: Extracting #9: cost 23 inf + 60433 266.854 * * [simplify]: Extracting #10: cost 0 inf + 75627 266.875 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 266.876 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 266.876 * * * * [progress]: [ 334 / 4148 ] simplifiying candidate # 266.876 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 266.877 * * [simplify]: iters left: 6 (22 enodes) 266.883 * * [simplify]: iters left: 5 (88 enodes) 266.901 * * [simplify]: iters left: 4 (185 enodes) 266.972 * * [simplify]: Extracting #0: cost 1 inf + 0 266.972 * * [simplify]: Extracting #1: cost 57 inf + 0 266.973 * * [simplify]: Extracting #2: cost 160 inf + 1 266.974 * * [simplify]: Extracting #3: cost 175 inf + 2 266.975 * * [simplify]: Extracting #4: cost 168 inf + 904 266.977 * * [simplify]: Extracting #5: cost 161 inf + 2331 266.978 * * [simplify]: Extracting #6: cost 156 inf + 3047 266.983 * * [simplify]: Extracting #7: cost 100 inf + 26331 267.005 * * [simplify]: Extracting #8: cost 16 inf + 73826 267.027 * * [simplify]: Extracting #9: cost 0 inf + 82958 267.041 * * [simplify]: Extracting #10: cost 0 inf + 82748 267.054 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 267.054 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (sqrt 2))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.054 * * * * [progress]: [ 335 / 4148 ] simplifiying candidate # 267.055 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 267.055 * * [simplify]: iters left: 6 (21 enodes) 267.061 * * [simplify]: iters left: 5 (84 enodes) 267.075 * * [simplify]: iters left: 4 (172 enodes) 267.159 * * [simplify]: Extracting #0: cost 1 inf + 0 267.159 * * [simplify]: Extracting #1: cost 50 inf + 0 267.160 * * [simplify]: Extracting #2: cost 147 inf + 1 267.161 * * [simplify]: Extracting #3: cost 163 inf + 73 267.162 * * [simplify]: Extracting #4: cost 155 inf + 1148 267.164 * * [simplify]: Extracting #5: cost 151 inf + 2048 267.165 * * [simplify]: Extracting #6: cost 147 inf + 2402 267.169 * * [simplify]: Extracting #7: cost 107 inf + 16335 267.182 * * [simplify]: Extracting #8: cost 42 inf + 48830 267.206 * * [simplify]: Extracting #9: cost 0 inf + 73639 267.232 * * [simplify]: Extracting #10: cost 0 inf + 73499 267.256 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 267.256 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.256 * * * * [progress]: [ 336 / 4148 ] simplifiying candidate # 267.257 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 267.257 * * [simplify]: iters left: 6 (24 enodes) 267.271 * * [simplify]: iters left: 5 (99 enodes) 267.301 * * [simplify]: iters left: 4 (181 enodes) 267.380 * * [simplify]: Extracting #0: cost 1 inf + 0 267.380 * * [simplify]: Extracting #1: cost 71 inf + 0 267.381 * * [simplify]: Extracting #2: cost 182 inf + 1 267.383 * * [simplify]: Extracting #3: cost 192 inf + 144 267.384 * * [simplify]: Extracting #4: cost 183 inf + 1552 267.386 * * [simplify]: Extracting #5: cost 183 inf + 1794 267.389 * * [simplify]: Extracting #6: cost 158 inf + 9403 267.398 * * [simplify]: Extracting #7: cost 72 inf + 52191 267.412 * * [simplify]: Extracting #8: cost 5 inf + 91736 267.434 * * [simplify]: Extracting #9: cost 0 inf + 94246 267.459 * * [simplify]: Extracting #10: cost 0 inf + 94106 267.474 * [simplify]: Simplified to (- (+ (log a1) (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) 267.474 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.474 * * * * [progress]: [ 337 / 4148 ] simplifiying candidate # 267.475 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 267.475 * * [simplify]: iters left: 6 (23 enodes) 267.482 * * [simplify]: iters left: 5 (95 enodes) 267.504 * * [simplify]: iters left: 4 (168 enodes) 267.563 * * [simplify]: Extracting #0: cost 1 inf + 0 267.563 * * [simplify]: Extracting #1: cost 63 inf + 0 267.564 * * [simplify]: Extracting #2: cost 152 inf + 1 267.565 * * [simplify]: Extracting #3: cost 166 inf + 73 267.567 * * [simplify]: Extracting #4: cost 158 inf + 1086 267.568 * * [simplify]: Extracting #5: cost 156 inf + 1663 267.569 * * [simplify]: Extracting #6: cost 154 inf + 1705 267.571 * * [simplify]: Extracting #7: cost 151 inf + 2058 267.573 * * [simplify]: Extracting #8: cost 127 inf + 9088 267.584 * * [simplify]: Extracting #9: cost 61 inf + 41394 267.595 * * [simplify]: Extracting #10: cost 14 inf + 69067 267.608 * * [simplify]: Extracting #11: cost 0 inf + 77319 267.622 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 267.622 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.623 * * * * [progress]: [ 338 / 4148 ] simplifiying candidate # 267.623 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 267.623 * * [simplify]: iters left: 6 (23 enodes) 267.636 * * [simplify]: iters left: 5 (94 enodes) 267.659 * * [simplify]: iters left: 4 (185 enodes) 267.734 * * [simplify]: Extracting #0: cost 1 inf + 0 267.735 * * [simplify]: Extracting #1: cost 65 inf + 0 267.735 * * [simplify]: Extracting #2: cost 175 inf + 0 267.736 * * [simplify]: Extracting #3: cost 188 inf + 73 267.736 * * [simplify]: Extracting #4: cost 179 inf + 1168 267.737 * * [simplify]: Extracting #5: cost 177 inf + 1795 267.739 * * [simplify]: Extracting #6: cost 155 inf + 8018 267.743 * * [simplify]: Extracting #7: cost 90 inf + 38481 267.758 * * [simplify]: Extracting #8: cost 8 inf + 84184 267.782 * * [simplify]: Extracting #9: cost 0 inf + 88992 267.810 * [simplify]: Simplified to (+ (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) 267.810 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.810 * * * * [progress]: [ 339 / 4148 ] simplifiying candidate # 267.811 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 267.811 * * [simplify]: iters left: 6 (22 enodes) 267.823 * * [simplify]: iters left: 5 (90 enodes) 267.840 * * [simplify]: iters left: 4 (172 enodes) 267.885 * * [simplify]: Extracting #0: cost 1 inf + 0 267.886 * * [simplify]: Extracting #1: cost 55 inf + 0 267.886 * * [simplify]: Extracting #2: cost 145 inf + 0 267.887 * * [simplify]: Extracting #3: cost 162 inf + 73 267.887 * * [simplify]: Extracting #4: cost 154 inf + 1218 267.888 * * [simplify]: Extracting #5: cost 153 inf + 1664 267.889 * * [simplify]: Extracting #6: cost 148 inf + 2059 267.891 * * [simplify]: Extracting #7: cost 101 inf + 19317 267.899 * * [simplify]: Extracting #8: cost 31 inf + 55809 267.910 * * [simplify]: Extracting #9: cost 1 inf + 73884 267.922 * * [simplify]: Extracting #10: cost 0 inf + 74386 267.934 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) 267.934 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 267.934 * * * * [progress]: [ 340 / 4148 ] simplifiying candidate # 267.934 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 267.934 * * [simplify]: iters left: 6 (23 enodes) 267.945 * * [simplify]: iters left: 5 (97 enodes) 267.964 * * [simplify]: iters left: 4 (184 enodes) 268.020 * * [simplify]: Extracting #0: cost 1 inf + 0 268.021 * * [simplify]: Extracting #1: cost 60 inf + 0 268.021 * * [simplify]: Extracting #2: cost 176 inf + 1 268.022 * * [simplify]: Extracting #3: cost 183 inf + 184 268.023 * * [simplify]: Extracting #4: cost 172 inf + 1645 268.023 * * [simplify]: Extracting #5: cost 172 inf + 2058 268.025 * * [simplify]: Extracting #6: cost 154 inf + 6979 268.027 * * [simplify]: Extracting #7: cost 126 inf + 18008 268.042 * * [simplify]: Extracting #8: cost 48 inf + 60639 268.059 * * [simplify]: Extracting #9: cost 0 inf + 86852 268.073 * * [simplify]: Extracting #10: cost 0 inf + 86771 268.101 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) 268.101 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.102 * * * * [progress]: [ 341 / 4148 ] simplifiying candidate # 268.102 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 268.102 * * [simplify]: iters left: 6 (23 enodes) 268.109 * * [simplify]: iters left: 5 (95 enodes) 268.129 * * [simplify]: iters left: 4 (172 enodes) 268.211 * * [simplify]: Extracting #0: cost 1 inf + 0 268.211 * * [simplify]: Extracting #1: cost 52 inf + 0 268.212 * * [simplify]: Extracting #2: cost 147 inf + 1 268.213 * * [simplify]: Extracting #3: cost 159 inf + 73 268.214 * * [simplify]: Extracting #4: cost 148 inf + 1440 268.215 * * [simplify]: Extracting #5: cost 147 inf + 1927 268.217 * * [simplify]: Extracting #6: cost 144 inf + 2090 268.219 * * [simplify]: Extracting #7: cost 126 inf + 7330 268.232 * * [simplify]: Extracting #8: cost 39 inf + 48766 268.254 * * [simplify]: Extracting #9: cost 0 inf + 71657 268.265 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 268.265 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.265 * * * * [progress]: [ 342 / 4148 ] simplifiying candidate # 268.266 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 268.266 * * [simplify]: iters left: 6 (22 enodes) 268.273 * * [simplify]: iters left: 5 (96 enodes) 268.301 * * [simplify]: iters left: 4 (189 enodes) 268.382 * * [simplify]: Extracting #0: cost 1 inf + 0 268.382 * * [simplify]: Extracting #1: cost 72 inf + 0 268.383 * * [simplify]: Extracting #2: cost 183 inf + 1 268.384 * * [simplify]: Extracting #3: cost 190 inf + 144 268.384 * * [simplify]: Extracting #4: cost 182 inf + 1329 268.385 * * [simplify]: Extracting #5: cost 178 inf + 2210 268.386 * * [simplify]: Extracting #6: cost 163 inf + 5864 268.388 * * [simplify]: Extracting #7: cost 137 inf + 15581 268.396 * * [simplify]: Extracting #8: cost 58 inf + 57970 268.412 * * [simplify]: Extracting #9: cost 7 inf + 87925 268.434 * * [simplify]: Extracting #10: cost 0 inf + 92007 268.449 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) 268.449 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (cos th)) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.449 * * * * [progress]: [ 343 / 4148 ] simplifiying candidate # 268.449 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 268.450 * * [simplify]: iters left: 6 (22 enodes) 268.458 * * [simplify]: iters left: 5 (94 enodes) 268.496 * * [simplify]: iters left: 4 (176 enodes) 268.599 * * [simplify]: Extracting #0: cost 1 inf + 0 268.600 * * [simplify]: Extracting #1: cost 65 inf + 0 268.601 * * [simplify]: Extracting #2: cost 157 inf + 1 268.602 * * [simplify]: Extracting #3: cost 165 inf + 144 268.603 * * [simplify]: Extracting #4: cost 157 inf + 1248 268.605 * * [simplify]: Extracting #5: cost 154 inf + 1927 268.607 * * [simplify]: Extracting #6: cost 151 inf + 2010 268.608 * * [simplify]: Extracting #7: cost 149 inf + 2322 268.611 * * [simplify]: Extracting #8: cost 123 inf + 11373 268.616 * * [simplify]: Extracting #9: cost 94 inf + 23378 268.633 * * [simplify]: Extracting #10: cost 21 inf + 64212 268.658 * * [simplify]: Extracting #11: cost 0 inf + 77696 268.673 * [simplify]: Simplified to (- (- (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) 268.673 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.673 * * * * [progress]: [ 344 / 4148 ] simplifiying candidate # 268.674 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 268.674 * * [simplify]: iters left: 6 (24 enodes) 268.682 * * [simplify]: iters left: 5 (98 enodes) 268.700 * * [simplify]: iters left: 4 (189 enodes) 268.763 * * [simplify]: Extracting #0: cost 1 inf + 0 268.764 * * [simplify]: Extracting #1: cost 60 inf + 0 268.764 * * [simplify]: Extracting #2: cost 165 inf + 1 268.765 * * [simplify]: Extracting #3: cost 176 inf + 73 268.765 * * [simplify]: Extracting #4: cost 169 inf + 1087 268.766 * * [simplify]: Extracting #5: cost 163 inf + 2331 268.767 * * [simplify]: Extracting #6: cost 160 inf + 2494 268.768 * * [simplify]: Extracting #7: cost 141 inf + 8453 268.776 * * [simplify]: Extracting #8: cost 38 inf + 61682 268.790 * * [simplify]: Extracting #9: cost 1 inf + 83427 268.807 * * [simplify]: Extracting #10: cost 0 inf + 83939 268.834 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (log (cbrt (cbrt (sqrt 2))))))) 268.834 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.835 * * * * [progress]: [ 345 / 4148 ] simplifiying candidate # 268.835 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 268.835 * * [simplify]: iters left: 6 (23 enodes) 268.850 * * [simplify]: iters left: 5 (94 enodes) 268.886 * * [simplify]: iters left: 4 (176 enodes) 268.945 * * [simplify]: Extracting #0: cost 1 inf + 0 268.945 * * [simplify]: Extracting #1: cost 53 inf + 0 268.946 * * [simplify]: Extracting #2: cost 151 inf + 1 268.946 * * [simplify]: Extracting #3: cost 164 inf + 73 268.947 * * [simplify]: Extracting #4: cost 155 inf + 1369 268.948 * * [simplify]: Extracting #5: cost 152 inf + 2048 268.949 * * [simplify]: Extracting #6: cost 147 inf + 2634 268.950 * * [simplify]: Extracting #7: cost 122 inf + 9917 268.954 * * [simplify]: Extracting #8: cost 74 inf + 32894 268.968 * * [simplify]: Extracting #9: cost 8 inf + 70607 268.980 * * [simplify]: Extracting #10: cost 0 inf + 74858 268.992 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 268.993 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 268.993 * * * * [progress]: [ 346 / 4148 ] simplifiying candidate # 268.993 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 268.993 * * [simplify]: iters left: 6 (23 enodes) 269.000 * * [simplify]: iters left: 5 (98 enodes) 269.019 * * [simplify]: iters left: 4 (178 enodes) 269.075 * * [simplify]: Extracting #0: cost 1 inf + 0 269.076 * * [simplify]: Extracting #1: cost 74 inf + 0 269.076 * * [simplify]: Extracting #2: cost 183 inf + 1 269.077 * * [simplify]: Extracting #3: cost 191 inf + 73 269.078 * * [simplify]: Extracting #4: cost 182 inf + 1209 269.078 * * [simplify]: Extracting #5: cost 181 inf + 1794 269.080 * * [simplify]: Extracting #6: cost 159 inf + 7547 269.084 * * [simplify]: Extracting #7: cost 95 inf + 37492 269.097 * * [simplify]: Extracting #8: cost 16 inf + 83528 269.114 * * [simplify]: Extracting #9: cost 0 inf + 93568 269.136 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))))) 269.136 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 269.137 * * * * [progress]: [ 347 / 4148 ] simplifiying candidate # 269.137 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 269.138 * * [simplify]: iters left: 6 (22 enodes) 269.149 * * [simplify]: iters left: 5 (94 enodes) 269.167 * * [simplify]: iters left: 4 (165 enodes) 269.240 * * [simplify]: iters left: 3 (485 enodes) 269.673 * * [simplify]: Extracting #0: cost 1 inf + 0 269.673 * * [simplify]: Extracting #1: cost 91 inf + 0 269.675 * * [simplify]: Extracting #2: cost 296 inf + 1 269.678 * * [simplify]: Extracting #3: cost 320 inf + 73 269.681 * * [simplify]: Extracting #4: cost 308 inf + 1544 269.685 * * [simplify]: Extracting #5: cost 301 inf + 2304 269.690 * * [simplify]: Extracting #6: cost 273 inf + 12668 269.721 * * [simplify]: Extracting #7: cost 90 inf + 105133 269.750 * * [simplify]: Extracting #8: cost 1 inf + 158586 269.810 * * [simplify]: Extracting #9: cost 0 inf + 158867 269.859 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 269.859 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 269.859 * * * * [progress]: [ 348 / 4148 ] simplifiying candidate # 269.859 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 269.860 * * [simplify]: iters left: 6 (23 enodes) 269.867 * * [simplify]: iters left: 5 (96 enodes) 269.884 * * [simplify]: iters left: 4 (179 enodes) 269.983 * * [simplify]: Extracting #0: cost 1 inf + 0 269.984 * * [simplify]: Extracting #1: cost 68 inf + 0 269.984 * * [simplify]: Extracting #2: cost 178 inf + 0 269.985 * * [simplify]: Extracting #3: cost 186 inf + 144 269.985 * * [simplify]: Extracting #4: cost 177 inf + 1128 269.986 * * [simplify]: Extracting #5: cost 176 inf + 1795 269.987 * * [simplify]: Extracting #6: cost 175 inf + 1796 269.988 * * [simplify]: Extracting #7: cost 153 inf + 8221 269.993 * * [simplify]: Extracting #8: cost 85 inf + 41515 270.010 * * [simplify]: Extracting #9: cost 7 inf + 85618 270.039 * * [simplify]: Extracting #10: cost 0 inf + 89259 270.067 * [simplify]: Simplified to (- (+ (log a1) (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) 270.067 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 270.068 * * * * [progress]: [ 349 / 4148 ] simplifiying candidate # 270.068 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 270.068 * * [simplify]: iters left: 6 (22 enodes) 270.081 * * [simplify]: iters left: 5 (92 enodes) 270.116 * * [simplify]: iters left: 4 (166 enodes) 270.193 * * [simplify]: iters left: 3 (485 enodes) 270.486 * * [simplify]: Extracting #0: cost 1 inf + 0 270.486 * * [simplify]: Extracting #1: cost 102 inf + 0 270.487 * * [simplify]: Extracting #2: cost 341 inf + 1 270.489 * * [simplify]: Extracting #3: cost 364 inf + 2 270.491 * * [simplify]: Extracting #4: cost 350 inf + 1595 270.495 * * [simplify]: Extracting #5: cost 279 inf + 27652 270.526 * * [simplify]: Extracting #6: cost 42 inf + 154800 270.594 * * [simplify]: Extracting #7: cost 0 inf + 180057 270.638 * [simplify]: Simplified to (+ (log a1) (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) 270.638 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 270.639 * * * * [progress]: [ 350 / 4148 ] simplifiying candidate # 270.639 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 270.639 * * [simplify]: iters left: 6 (21 enodes) 270.645 * * [simplify]: iters left: 5 (86 enodes) 270.669 * * [simplify]: iters left: 4 (184 enodes) 270.763 * * [simplify]: Extracting #0: cost 1 inf + 0 270.763 * * [simplify]: Extracting #1: cost 55 inf + 0 270.764 * * [simplify]: Extracting #2: cost 172 inf + 1 270.765 * * [simplify]: Extracting #3: cost 180 inf + 408 270.767 * * [simplify]: Extracting #4: cost 169 inf + 2191 270.769 * * [simplify]: Extracting #5: cost 168 inf + 2707 270.773 * * [simplify]: Extracting #6: cost 143 inf + 9906 270.789 * * [simplify]: Extracting #7: cost 46 inf + 59684 270.811 * * [simplify]: Extracting #8: cost 3 inf + 82430 270.825 * * [simplify]: Extracting #9: cost 0 inf + 84124 270.844 * [simplify]: Simplified to (- (+ (log a1) (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) 270.844 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 270.845 * * * * [progress]: [ 351 / 4148 ] simplifiying candidate # 270.845 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 270.845 * * [simplify]: iters left: 6 (21 enodes) 270.858 * * [simplify]: iters left: 5 (84 enodes) 270.881 * * [simplify]: iters left: 4 (172 enodes) 270.951 * * [simplify]: Extracting #0: cost 1 inf + 0 270.952 * * [simplify]: Extracting #1: cost 47 inf + 0 270.952 * * [simplify]: Extracting #2: cost 145 inf + 1 270.953 * * [simplify]: Extracting #3: cost 158 inf + 184 270.955 * * [simplify]: Extracting #4: cost 147 inf + 1786 270.956 * * [simplify]: Extracting #5: cost 144 inf + 2576 270.958 * * [simplify]: Extracting #6: cost 135 inf + 3715 270.960 * * [simplify]: Extracting #7: cost 115 inf + 9743 270.967 * * [simplify]: Extracting #8: cost 77 inf + 27579 270.986 * * [simplify]: Extracting #9: cost 8 inf + 64437 271.010 * * [simplify]: Extracting #10: cost 0 inf + 69403 271.034 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) 271.034 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 271.034 * * * * [progress]: [ 352 / 4148 ] simplifiying candidate # 271.035 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 271.035 * * [simplify]: iters left: 6 (23 enodes) 271.049 * * [simplify]: iters left: 5 (96 enodes) 271.087 * * [simplify]: iters left: 4 (186 enodes) 271.159 * * [simplify]: Extracting #0: cost 1 inf + 0 271.159 * * [simplify]: Extracting #1: cost 69 inf + 0 271.159 * * [simplify]: Extracting #2: cost 182 inf + 1 271.160 * * [simplify]: Extracting #3: cost 191 inf + 185 271.161 * * [simplify]: Extracting #4: cost 182 inf + 1644 271.164 * * [simplify]: Extracting #5: cost 179 inf + 2443 271.165 * * [simplify]: Extracting #6: cost 167 inf + 5550 271.170 * * [simplify]: Extracting #7: cost 82 inf + 43515 271.193 * * [simplify]: Extracting #8: cost 9 inf + 84587 271.212 * * [simplify]: Extracting #9: cost 0 inf + 90737 271.227 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 271.227 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 271.228 * * * * [progress]: [ 353 / 4148 ] simplifiying candidate # 271.228 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 271.228 * * [simplify]: iters left: 6 (23 enodes) 271.236 * * [simplify]: iters left: 5 (94 enodes) 271.268 * * [simplify]: iters left: 4 (173 enodes) 271.347 * * [simplify]: Extracting #0: cost 1 inf + 0 271.347 * * [simplify]: Extracting #1: cost 61 inf + 0 271.348 * * [simplify]: Extracting #2: cost 152 inf + 1 271.348 * * [simplify]: Extracting #3: cost 166 inf + 2 271.349 * * [simplify]: Extracting #4: cost 154 inf + 1665 271.350 * * [simplify]: Extracting #5: cost 152 inf + 2312 271.350 * * [simplify]: Extracting #6: cost 149 inf + 2395 271.352 * * [simplify]: Extracting #7: cost 119 inf + 12439 271.359 * * [simplify]: Extracting #8: cost 35 inf + 53705 271.371 * * [simplify]: Extracting #9: cost 0 inf + 74751 271.389 * * [simplify]: Extracting #10: cost 0 inf + 74681 271.416 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 271.416 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 271.416 * * * * [progress]: [ 354 / 4148 ] simplifiying candidate # 271.417 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 271.417 * * [simplify]: iters left: 6 (22 enodes) 271.429 * * [simplify]: iters left: 5 (87 enodes) 271.459 * * [simplify]: iters left: 4 (187 enodes) 271.531 * * [simplify]: Extracting #0: cost 1 inf + 0 271.531 * * [simplify]: Extracting #1: cost 55 inf + 0 271.532 * * [simplify]: Extracting #2: cost 157 inf + 1 271.533 * * [simplify]: Extracting #3: cost 170 inf + 184 271.535 * * [simplify]: Extracting #4: cost 161 inf + 1631 271.536 * * [simplify]: Extracting #5: cost 159 inf + 2331 271.538 * * [simplify]: Extracting #6: cost 156 inf + 2494 271.541 * * [simplify]: Extracting #7: cost 131 inf + 10618 271.557 * * [simplify]: Extracting #8: cost 29 inf + 62538 271.570 * * [simplify]: Extracting #9: cost 1 inf + 79925 271.585 * * [simplify]: Extracting #10: cost 0 inf + 80718 271.611 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 271.611 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 271.611 * * * * [progress]: [ 355 / 4148 ] simplifiying candidate # 271.612 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 271.612 * * [simplify]: iters left: 6 (21 enodes) 271.623 * * [simplify]: iters left: 5 (83 enodes) 271.655 * * [simplify]: iters left: 4 (174 enodes) 271.710 * * [simplify]: iters left: 3 (490 enodes) 272.162 * * [simplify]: Extracting #0: cost 1 inf + 0 272.162 * * [simplify]: Extracting #1: cost 99 inf + 0 272.164 * * [simplify]: Extracting #2: cost 296 inf + 1 272.167 * * [simplify]: Extracting #3: cost 316 inf + 73 272.171 * * [simplify]: Extracting #4: cost 299 inf + 2437 272.180 * * [simplify]: Extracting #5: cost 293 inf + 3126 272.183 * * [simplify]: Extracting #6: cost 283 inf + 4827 272.198 * * [simplify]: Extracting #7: cost 176 inf + 58397 272.240 * * [simplify]: Extracting #8: cost 13 inf + 151413 272.274 * * [simplify]: Extracting #9: cost 0 inf + 156712 272.323 * * [simplify]: Extracting #10: cost 0 inf + 156711 272.390 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) 272.390 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 272.390 * * * * [progress]: [ 356 / 4148 ] simplifiying candidate # 272.391 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 272.391 * * [simplify]: iters left: 6 (24 enodes) 272.400 * * [simplify]: iters left: 5 (98 enodes) 272.416 * * [simplify]: iters left: 4 (184 enodes) 272.509 * * [simplify]: Extracting #0: cost 1 inf + 0 272.509 * * [simplify]: Extracting #1: cost 69 inf + 0 272.509 * * [simplify]: Extracting #2: cost 182 inf + 1 272.510 * * [simplify]: Extracting #3: cost 193 inf + 73 272.511 * * [simplify]: Extracting #4: cost 185 inf + 1270 272.512 * * [simplify]: Extracting #5: cost 182 inf + 2179 272.513 * * [simplify]: Extracting #6: cost 169 inf + 5306 272.518 * * [simplify]: Extracting #7: cost 84 inf + 43020 272.533 * * [simplify]: Extracting #8: cost 5 inf + 88056 272.566 * * [simplify]: Extracting #9: cost 0 inf + 91267 272.591 * [simplify]: Simplified to (- (+ (log a1) (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2))))) 272.591 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (- (log (* a1 (cos th))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 272.591 * * * * [progress]: [ 357 / 4148 ] simplifiying candidate # 272.591 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 272.592 * * [simplify]: iters left: 6 (23 enodes) 272.598 * * [simplify]: iters left: 5 (94 enodes) 272.614 * * [simplify]: iters left: 4 (171 enodes) 272.666 * * [simplify]: iters left: 3 (497 enodes) 273.036 * * [simplify]: Extracting #0: cost 1 inf + 0 273.037 * * [simplify]: Extracting #1: cost 102 inf + 0 273.038 * * [simplify]: Extracting #2: cost 317 inf + 1 273.039 * * [simplify]: Extracting #3: cost 341 inf + 73 273.041 * * [simplify]: Extracting #4: cost 327 inf + 1828 273.045 * * [simplify]: Extracting #5: cost 299 inf + 9195 273.075 * * [simplify]: Extracting #6: cost 137 inf + 94237 273.110 * * [simplify]: Extracting #7: cost 2 inf + 169237 273.643 * * [simplify]: Extracting #8: cost 0 inf + 168291 273.710 * * [simplify]: Extracting #9: cost 0 inf + 168211 273.776 * [simplify]: Simplified to (+ (log a1) (- (log (* a1 (cos th))) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 273.776 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (* a1 (cos th))) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 273.777 * * * * [progress]: [ 358 / 4148 ] simplifiying candidate # 273.777 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 273.777 * * [simplify]: iters left: 6 (23 enodes) 273.791 * * [simplify]: iters left: 5 (93 enodes) 273.808 * * [simplify]: iters left: 4 (188 enodes) 273.888 * * [simplify]: Extracting #0: cost 1 inf + 0 273.889 * * [simplify]: Extracting #1: cost 64 inf + 0 273.890 * * [simplify]: Extracting #2: cost 173 inf + 1 273.891 * * [simplify]: Extracting #3: cost 187 inf + 73 273.892 * * [simplify]: Extracting #4: cost 178 inf + 1381 273.894 * * [simplify]: Extracting #5: cost 175 inf + 2180 273.897 * * [simplify]: Extracting #6: cost 151 inf + 8864 273.908 * * [simplify]: Extracting #7: cost 74 inf + 44112 273.934 * * [simplify]: Extracting #8: cost 1 inf + 87188 273.963 * * [simplify]: Extracting #9: cost 0 inf + 87731 273.991 * [simplify]: Simplified to (- (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 273.992 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 273.992 * * * * [progress]: [ 359 / 4148 ] simplifiying candidate # 273.992 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) 0)) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 273.993 * * [simplify]: iters left: 6 (22 enodes) 274.005 * * [simplify]: iters left: 5 (89 enodes) 274.020 * * [simplify]: iters left: 4 (175 enodes) 274.076 * * [simplify]: iters left: 3 (481 enodes) 274.459 * * [simplify]: Extracting #0: cost 1 inf + 0 274.459 * * [simplify]: Extracting #1: cost 102 inf + 0 274.460 * * [simplify]: Extracting #2: cost 301 inf + 1 274.462 * * [simplify]: Extracting #3: cost 320 inf + 73 274.463 * * [simplify]: Extracting #4: cost 306 inf + 1577 274.465 * * [simplify]: Extracting #5: cost 300 inf + 2327 274.467 * * [simplify]: Extracting #6: cost 289 inf + 4231 274.479 * * [simplify]: Extracting #7: cost 190 inf + 50633 274.510 * * [simplify]: Extracting #8: cost 30 inf + 142652 274.559 * * [simplify]: Extracting #9: cost 0 inf + 158206 274.625 * * [simplify]: Extracting #10: cost 0 inf + 158016 274.659 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) 274.659 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 274.659 * * * * [progress]: [ 360 / 4148 ] simplifiying candidate # 274.659 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 274.660 * * [simplify]: iters left: 6 (23 enodes) 274.675 * * [simplify]: iters left: 5 (97 enodes) 274.710 * * [simplify]: iters left: 4 (183 enodes) 274.772 * * [simplify]: Extracting #0: cost 1 inf + 0 274.772 * * [simplify]: Extracting #1: cost 60 inf + 0 274.772 * * [simplify]: Extracting #2: cost 179 inf + 1 274.773 * * [simplify]: Extracting #3: cost 186 inf + 184 274.774 * * [simplify]: Extracting #4: cost 173 inf + 2191 274.775 * * [simplify]: Extracting #5: cost 174 inf + 2322 274.776 * * [simplify]: Extracting #6: cost 159 inf + 5703 274.781 * * [simplify]: Extracting #7: cost 132 inf + 15163 274.788 * * [simplify]: Extracting #8: cost 55 inf + 55602 274.809 * * [simplify]: Extracting #9: cost 1 inf + 86856 274.823 * * [simplify]: Extracting #10: cost 0 inf + 87508 274.842 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) 274.842 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 274.842 * * * * [progress]: [ 361 / 4148 ] simplifiying candidate # 274.842 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 274.843 * * [simplify]: iters left: 6 (23 enodes) 274.857 * * [simplify]: iters left: 5 (95 enodes) 274.878 * * [simplify]: iters left: 4 (171 enodes) 274.950 * * [simplify]: Extracting #0: cost 1 inf + 0 274.950 * * [simplify]: Extracting #1: cost 52 inf + 0 274.951 * * [simplify]: Extracting #2: cost 151 inf + 1 274.952 * * [simplify]: Extracting #3: cost 162 inf + 73 274.953 * * [simplify]: Extracting #4: cost 150 inf + 1704 274.954 * * [simplify]: Extracting #5: cost 149 inf + 2191 274.956 * * [simplify]: Extracting #6: cost 145 inf + 2515 274.960 * * [simplify]: Extracting #7: cost 108 inf + 15814 274.978 * * [simplify]: Extracting #8: cost 15 inf + 64126 275.001 * * [simplify]: Extracting #9: cost 0 inf + 72394 275.028 * * [simplify]: Extracting #10: cost 0 inf + 72254 275.042 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 275.043 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.043 * * * * [progress]: [ 362 / 4148 ] simplifiying candidate # 275.043 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 275.043 * * [simplify]: iters left: 6 (22 enodes) 275.049 * * [simplify]: iters left: 5 (96 enodes) 275.083 * * [simplify]: iters left: 4 (188 enodes) 275.162 * * [simplify]: Extracting #0: cost 1 inf + 0 275.162 * * [simplify]: Extracting #1: cost 72 inf + 0 275.163 * * [simplify]: Extracting #2: cost 182 inf + 1 275.164 * * [simplify]: Extracting #3: cost 191 inf + 2 275.164 * * [simplify]: Extracting #4: cost 186 inf + 713 275.165 * * [simplify]: Extracting #5: cost 179 inf + 2058 275.167 * * [simplify]: Extracting #6: cost 164 inf + 5490 275.169 * * [simplify]: Extracting #7: cost 136 inf + 16071 275.177 * * [simplify]: Extracting #8: cost 59 inf + 56701 275.204 * * [simplify]: Extracting #9: cost 3 inf + 89519 275.233 * * [simplify]: Extracting #10: cost 0 inf + 91444 275.248 * [simplify]: Simplified to (+ (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) 275.248 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.248 * * * * [progress]: [ 363 / 4148 ] simplifiying candidate # 275.248 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 275.248 * * [simplify]: iters left: 6 (22 enodes) 275.255 * * [simplify]: iters left: 5 (94 enodes) 275.282 * * [simplify]: iters left: 4 (175 enodes) 275.355 * * [simplify]: Extracting #0: cost 1 inf + 0 275.355 * * [simplify]: Extracting #1: cost 65 inf + 0 275.356 * * [simplify]: Extracting #2: cost 156 inf + 1 275.357 * * [simplify]: Extracting #3: cost 164 inf + 184 275.359 * * [simplify]: Extracting #4: cost 155 inf + 1481 275.360 * * [simplify]: Extracting #5: cost 154 inf + 1927 275.362 * * [simplify]: Extracting #6: cost 150 inf + 2131 275.365 * * [simplify]: Extracting #7: cost 116 inf + 13548 275.379 * * [simplify]: Extracting #8: cost 31 inf + 56665 275.405 * * [simplify]: Extracting #9: cost 0 inf + 77063 275.427 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) 275.428 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.428 * * * * [progress]: [ 364 / 4148 ] simplifiying candidate # 275.428 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 275.428 * * [simplify]: iters left: 6 (24 enodes) 275.439 * * [simplify]: iters left: 5 (98 enodes) 275.455 * * [simplify]: iters left: 4 (187 enodes) 275.525 * * [simplify]: Extracting #0: cost 1 inf + 0 275.526 * * [simplify]: Extracting #1: cost 60 inf + 0 275.526 * * [simplify]: Extracting #2: cost 166 inf + 1 275.527 * * [simplify]: Extracting #3: cost 177 inf + 73 275.529 * * [simplify]: Extracting #4: cost 167 inf + 1713 275.530 * * [simplify]: Extracting #5: cost 165 inf + 2331 275.533 * * [simplify]: Extracting #6: cost 149 inf + 5872 275.537 * * [simplify]: Extracting #7: cost 90 inf + 31468 275.548 * * [simplify]: Extracting #8: cost 12 inf + 76639 275.561 * * [simplify]: Extracting #9: cost 0 inf + 83941 275.580 * [simplify]: Simplified to (- (+ (log a1) (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2))))) 275.580 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.580 * * * * [progress]: [ 365 / 4148 ] simplifiying candidate # 275.581 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 275.581 * * [simplify]: iters left: 6 (23 enodes) 275.596 * * [simplify]: iters left: 5 (94 enodes) 275.627 * * [simplify]: iters left: 4 (174 enodes) 275.696 * * [simplify]: Extracting #0: cost 1 inf + 0 275.696 * * [simplify]: Extracting #1: cost 53 inf + 0 275.696 * * [simplify]: Extracting #2: cost 152 inf + 1 275.697 * * [simplify]: Extracting #3: cost 165 inf + 73 275.697 * * [simplify]: Extracting #4: cost 158 inf + 1156 275.699 * * [simplify]: Extracting #5: cost 154 inf + 2048 275.701 * * [simplify]: Extracting #6: cost 151 inf + 2211 275.703 * * [simplify]: Extracting #7: cost 129 inf + 8543 275.714 * * [simplify]: Extracting #8: cost 59 inf + 42650 275.739 * * [simplify]: Extracting #9: cost 3 inf + 73829 275.752 * * [simplify]: Extracting #10: cost 0 inf + 75180 275.767 * [simplify]: Simplified to (- (- (- (log (* a1 (cos th))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 275.767 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (- (log (* a1 (cos th))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.767 * * * * [progress]: [ 366 / 4148 ] simplifiying candidate # 275.768 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 275.768 * * [simplify]: iters left: 6 (23 enodes) 275.775 * * [simplify]: iters left: 5 (98 enodes) 275.811 * * [simplify]: iters left: 4 (177 enodes) 275.892 * * [simplify]: Extracting #0: cost 1 inf + 0 275.892 * * [simplify]: Extracting #1: cost 74 inf + 0 275.893 * * [simplify]: Extracting #2: cost 183 inf + 1 275.895 * * [simplify]: Extracting #3: cost 191 inf + 73 275.896 * * [simplify]: Extracting #4: cost 183 inf + 1209 275.898 * * [simplify]: Extracting #5: cost 182 inf + 1794 275.900 * * [simplify]: Extracting #6: cost 159 inf + 9309 275.916 * * [simplify]: Extracting #7: cost 54 inf + 62514 275.930 * * [simplify]: Extracting #8: cost 6 inf + 91396 275.949 * * [simplify]: Extracting #9: cost 0 inf + 94677 275.964 * [simplify]: Simplified to (+ (log (cos th)) (- (log a1) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 275.964 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (- (log a1) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 275.965 * * * * [progress]: [ 367 / 4148 ] simplifiying candidate # 275.965 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 275.965 * * [simplify]: iters left: 6 (22 enodes) 275.974 * * [simplify]: iters left: 5 (94 enodes) 276.002 * * [simplify]: iters left: 4 (164 enodes) 276.063 * * [simplify]: iters left: 3 (487 enodes) 276.440 * * [simplify]: Extracting #0: cost 1 inf + 0 276.440 * * [simplify]: Extracting #1: cost 98 inf + 0 276.442 * * [simplify]: Extracting #2: cost 296 inf + 1 276.445 * * [simplify]: Extracting #3: cost 316 inf + 73 276.448 * * [simplify]: Extracting #4: cost 303 inf + 1796 276.452 * * [simplify]: Extracting #5: cost 281 inf + 6331 276.470 * * [simplify]: Extracting #6: cost 173 inf + 56609 276.503 * * [simplify]: Extracting #7: cost 20 inf + 142913 276.533 * * [simplify]: Extracting #8: cost 0 inf + 154120 276.573 * * [simplify]: Extracting #9: cost 0 inf + 153880 276.610 * [simplify]: Simplified to (+ (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1)) (log a1)) 276.610 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) (log a1)) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 276.610 * * * * [progress]: [ 368 / 4148 ] simplifiying candidate # 276.610 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 276.610 * * [simplify]: iters left: 6 (23 enodes) 276.620 * * [simplify]: iters left: 5 (96 enodes) 276.641 * * [simplify]: iters left: 4 (178 enodes) 276.704 * * [simplify]: Extracting #0: cost 1 inf + 0 276.705 * * [simplify]: Extracting #1: cost 68 inf + 0 276.705 * * [simplify]: Extracting #2: cost 179 inf + 0 276.707 * * [simplify]: Extracting #3: cost 188 inf + 73 276.708 * * [simplify]: Extracting #4: cost 179 inf + 1210 276.710 * * [simplify]: Extracting #5: cost 178 inf + 1795 276.712 * * [simplify]: Extracting #6: cost 159 inf + 7303 276.724 * * [simplify]: Extracting #7: cost 72 inf + 48948 276.748 * * [simplify]: Extracting #8: cost 4 inf + 87645 276.762 * * [simplify]: Extracting #9: cost 0 inf + 89581 276.776 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 276.776 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (+ (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 276.776 * * * * [progress]: [ 369 / 4148 ] simplifiying candidate # 276.776 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (- (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (log 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 276.777 * * [simplify]: iters left: 6 (22 enodes) 276.788 * * [simplify]: iters left: 5 (92 enodes) 276.805 * * [simplify]: iters left: 4 (165 enodes) 276.873 * * [simplify]: iters left: 3 (481 enodes) 277.150 * * [simplify]: Extracting #0: cost 1 inf + 0 277.150 * * [simplify]: Extracting #1: cost 104 inf + 0 277.152 * * [simplify]: Extracting #2: cost 349 inf + 1 277.155 * * [simplify]: Extracting #3: cost 370 inf + 73 277.159 * * [simplify]: Extracting #4: cost 353 inf + 1941 277.168 * * [simplify]: Extracting #5: cost 274 inf + 34366 277.216 * * [simplify]: Extracting #6: cost 79 inf + 137277 277.256 * * [simplify]: Extracting #7: cost 3 inf + 181084 277.313 * * [simplify]: Extracting #8: cost 0 inf + 182820 277.354 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 277.354 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (+ (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 277.354 * * * * [progress]: [ 370 / 4148 ] simplifiying candidate # 277.354 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 277.354 * * [simplify]: iters left: 6 (22 enodes) 277.361 * * [simplify]: iters left: 5 (91 enodes) 277.382 * * [simplify]: iters left: 4 (185 enodes) 277.469 * * [simplify]: Extracting #0: cost 1 inf + 0 277.470 * * [simplify]: Extracting #1: cost 55 inf + 0 277.471 * * [simplify]: Extracting #2: cost 167 inf + 1 277.472 * * [simplify]: Extracting #3: cost 182 inf + 2 277.473 * * [simplify]: Extracting #4: cost 175 inf + 1149 277.475 * * [simplify]: Extracting #5: cost 170 inf + 2110 277.478 * * [simplify]: Extracting #6: cost 142 inf + 11438 277.495 * * [simplify]: Extracting #7: cost 55 inf + 55114 277.518 * * [simplify]: Extracting #8: cost 1 inf + 83951 277.532 * * [simplify]: Extracting #9: cost 0 inf + 84492 277.549 * [simplify]: Simplified to (- (+ (log a1) (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) 277.550 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 277.550 * * * * [progress]: [ 371 / 4148 ] simplifiying candidate # 277.550 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 277.551 * * [simplify]: iters left: 6 (22 enodes) 277.563 * * [simplify]: iters left: 5 (89 enodes) 277.592 * * [simplify]: iters left: 4 (173 enodes) 277.651 * * [simplify]: Extracting #0: cost 1 inf + 0 277.651 * * [simplify]: Extracting #1: cost 47 inf + 0 277.651 * * [simplify]: Extracting #2: cost 143 inf + 1 277.652 * * [simplify]: Extracting #3: cost 158 inf + 297 277.652 * * [simplify]: Extracting #4: cost 151 inf + 1684 277.653 * * [simplify]: Extracting #5: cost 149 inf + 1979 277.654 * * [simplify]: Extracting #6: cost 145 inf + 2183 277.656 * * [simplify]: Extracting #7: cost 90 inf + 23702 277.667 * * [simplify]: Extracting #8: cost 23 inf + 58353 277.684 * * [simplify]: Extracting #9: cost 0 inf + 71384 277.707 * [simplify]: Simplified to (+ (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1)) 277.707 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (- (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 277.708 * * * * [progress]: [ 372 / 4148 ] simplifiying candidate # 277.708 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 277.708 * * [simplify]: iters left: 6 (22 enodes) 277.720 * * [simplify]: iters left: 5 (93 enodes) 277.746 * * [simplify]: iters left: 4 (191 enodes) 277.823 * * [simplify]: Extracting #0: cost 1 inf + 0 277.823 * * [simplify]: Extracting #1: cost 67 inf + 0 277.824 * * [simplify]: Extracting #2: cost 170 inf + 1 277.824 * * [simplify]: Extracting #3: cost 177 inf + 671 277.825 * * [simplify]: Extracting #4: cost 174 inf + 1412 277.826 * * [simplify]: Extracting #5: cost 172 inf + 1998 277.827 * * [simplify]: Extracting #6: cost 149 inf + 8904 277.841 * * [simplify]: Extracting #7: cost 45 inf + 61632 277.869 * * [simplify]: Extracting #8: cost 1 inf + 87216 277.899 * * [simplify]: Extracting #9: cost 0 inf + 87908 277.924 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))))) 277.924 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (- (log (cbrt (cbrt (sqrt 2)))) (log a1)) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 277.925 * * * * [progress]: [ 373 / 4148 ] simplifiying candidate # 277.925 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 277.925 * * [simplify]: iters left: 6 (22 enodes) 277.931 * * [simplify]: iters left: 5 (91 enodes) 277.949 * * [simplify]: iters left: 4 (178 enodes) 278.004 * * [simplify]: Extracting #0: cost 1 inf + 0 278.004 * * [simplify]: Extracting #1: cost 60 inf + 0 278.005 * * [simplify]: Extracting #2: cost 146 inf + 1 278.005 * * [simplify]: Extracting #3: cost 159 inf + 73 278.006 * * [simplify]: Extracting #4: cost 151 inf + 1551 278.006 * * [simplify]: Extracting #5: cost 150 inf + 1715 278.007 * * [simplify]: Extracting #6: cost 147 inf + 1798 278.008 * * [simplify]: Extracting #7: cost 146 inf + 1919 278.011 * * [simplify]: Extracting #8: cost 89 inf + 24668 278.020 * * [simplify]: Extracting #9: cost 10 inf + 68571 278.032 * * [simplify]: Extracting #10: cost 0 inf + 74040 278.055 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) 278.056 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (log a1) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 278.056 * * * * [progress]: [ 374 / 4148 ] simplifiying candidate # 278.056 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 278.057 * * [simplify]: iters left: 6 (23 enodes) 278.069 * * [simplify]: iters left: 5 (92 enodes) 278.103 * * [simplify]: iters left: 4 (189 enodes) 278.173 * * [simplify]: Extracting #0: cost 1 inf + 0 278.173 * * [simplify]: Extracting #1: cost 55 inf + 0 278.174 * * [simplify]: Extracting #2: cost 155 inf + 1 278.174 * * [simplify]: Extracting #3: cost 172 inf + 73 278.175 * * [simplify]: Extracting #4: cost 165 inf + 1349 278.176 * * [simplify]: Extracting #5: cost 162 inf + 2119 278.177 * * [simplify]: Extracting #6: cost 158 inf + 2473 278.179 * * [simplify]: Extracting #7: cost 102 inf + 24741 278.196 * * [simplify]: Extracting #8: cost 28 inf + 66887 278.225 * * [simplify]: Extracting #9: cost 4 inf + 81269 278.253 * * [simplify]: Extracting #10: cost 0 inf + 83726 278.280 * [simplify]: Simplified to (- (+ (- (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2))))) 278.280 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (- (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) (- (log (* a1 (cos th))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (sqrt 2))) (log (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 278.280 * * * * [progress]: [ 375 / 4148 ] simplifiying candidate # 278.281 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 278.281 * * [simplify]: iters left: 6 (22 enodes) 278.293 * * [simplify]: iters left: 5 (88 enodes) 278.309 * * [simplify]: iters left: 4 (176 enodes) 278.355 * * [simplify]: iters left: 3 (494 enodes) 278.732 * * [simplify]: Extracting #0: cost 1 inf + 0 278.732 * * [simplify]: Extracting #1: cost 83 inf + 0 278.734 * * [simplify]: Extracting #2: cost 274 inf + 1 278.738 * * [simplify]: Extracting #3: cost 300 inf + 73 278.741 * * [simplify]: Extracting #4: cost 284 inf + 2072 278.746 * * [simplify]: Extracting #5: cost 247 inf + 14991 278.781 * * [simplify]: Extracting #6: cost 78 inf + 102350 278.823 * * [simplify]: Extracting #7: cost 0 inf + 145996 278.879 * * [simplify]: Extracting #8: cost 0 inf + 144906 278.941 * * [simplify]: Extracting #9: cost 0 inf + 144866 278.979 * [simplify]: Simplified to (- (log (* a1 (cos th))) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) 278.980 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* a1 (cos th))) (+ (+ (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 278.980 * * * * [progress]: [ 376 / 4148 ] simplifiying candidate # 278.980 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 278.980 * * [simplify]: iters left: 6 (23 enodes) 278.986 * * [simplify]: iters left: 5 (95 enodes) 279.005 * * [simplify]: iters left: 4 (180 enodes) 279.082 * * [simplify]: Extracting #0: cost 1 inf + 0 279.082 * * [simplify]: Extracting #1: cost 67 inf + 0 279.083 * * [simplify]: Extracting #2: cost 170 inf + 1 279.086 * * [simplify]: Extracting #3: cost 180 inf + 255 279.087 * * [simplify]: Extracting #4: cost 177 inf + 996 279.088 * * [simplify]: Extracting #5: cost 175 inf + 1582 279.089 * * [simplify]: Extracting #6: cost 150 inf + 9301 279.097 * * [simplify]: Extracting #7: cost 46 inf + 63128 279.111 * * [simplify]: Extracting #8: cost 5 inf + 87037 279.132 * * [simplify]: Extracting #9: cost 0 inf + 90367 279.161 * * [simplify]: Extracting #10: cost 0 inf + 90087 279.177 * [simplify]: Simplified to (+ (log (cos th)) (- (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) 279.177 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (cos th)) (- (- (- (log a1) (log (cbrt (sqrt 2)))) (log (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 279.178 * * * * [progress]: [ 377 / 4148 ] simplifiying candidate # 279.178 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 279.178 * * [simplify]: iters left: 6 (22 enodes) 279.184 * * [simplify]: iters left: 5 (91 enodes) 279.213 * * [simplify]: iters left: 4 (167 enodes) 279.266 * * [simplify]: iters left: 3 (471 enodes) 279.562 * * [simplify]: Extracting #0: cost 1 inf + 0 279.562 * * [simplify]: Extracting #1: cost 92 inf + 0 279.564 * * [simplify]: Extracting #2: cost 289 inf + 1 279.567 * * [simplify]: Extracting #3: cost 313 inf + 73 279.570 * * [simplify]: Extracting #4: cost 301 inf + 1566 279.573 * * [simplify]: Extracting #5: cost 291 inf + 2600 279.583 * * [simplify]: Extracting #6: cost 255 inf + 17075 279.600 * * [simplify]: Extracting #7: cost 104 inf + 95825 279.645 * * [simplify]: Extracting #8: cost 8 inf + 148302 279.701 * * [simplify]: Extracting #9: cost 0 inf + 152982 279.744 * [simplify]: Simplified to (+ (+ (- (log a1) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) (log (cos th))) 279.745 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (+ (- (log a1) (+ (+ (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (sqrt 2))) (log (cbrt (cbrt (sqrt 2))))))) (log a1)) (log (cos th)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 279.745 * * * * [progress]: [ 378 / 4148 ] simplifiying candidate # 279.745 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 279.746 * * [simplify]: iters left: 6 (22 enodes) 279.757 * * [simplify]: iters left: 5 (90 enodes) 279.775 * * [simplify]: iters left: 4 (181 enodes) 279.835 * * [simplify]: Extracting #0: cost 1 inf + 0 279.835 * * [simplify]: Extracting #1: cost 61 inf + 0 279.835 * * [simplify]: Extracting #2: cost 165 inf + 0 279.836 * * [simplify]: Extracting #3: cost 177 inf + 144 279.836 * * [simplify]: Extracting #4: cost 171 inf + 1279 279.837 * * [simplify]: Extracting #5: cost 170 inf + 1582 279.838 * * [simplify]: Extracting #6: cost 144 inf + 8979 279.845 * * [simplify]: Extracting #7: cost 53 inf + 54014 279.867 * * [simplify]: Extracting #8: cost 4 inf + 83538 279.894 * * [simplify]: Extracting #9: cost 0 inf + 86036 279.921 * [simplify]: Simplified to (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 279.921 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (log (cos th)) (+ (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 279.921 * * * * [progress]: [ 379 / 4148 ] simplifiying candidate # 279.922 * [simplify]: Simplifying (- (- (- (log (* (cos th) a1)) (log (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 279.922 * * [simplify]: iters left: 6 (21 enodes) 279.930 * * [simplify]: iters left: 5 (86 enodes) 279.944 * * [simplify]: iters left: 4 (168 enodes) 280.005 * * [simplify]: iters left: 3 (457 enodes) 280.345 * * [simplify]: Extracting #0: cost 1 inf + 0 280.346 * * [simplify]: Extracting #1: cost 91 inf + 0 280.348 * * [simplify]: Extracting #2: cost 285 inf + 1 280.351 * * [simplify]: Extracting #3: cost 304 inf + 73 280.354 * * [simplify]: Extracting #4: cost 290 inf + 1838 280.357 * * [simplify]: Extracting #5: cost 264 inf + 8072 280.382 * * [simplify]: Extracting #6: cost 119 inf + 82646 280.438 * * [simplify]: Extracting #7: cost 5 inf + 151026 280.478 * * [simplify]: Extracting #8: cost 0 inf + 151757 280.539 * [simplify]: Simplified to (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log a1) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))))) 280.539 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (* a1 (cos th))) (log (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (- (- (log a1) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 280.539 * * * * [progress]: [ 380 / 4148 ] simplifiying candidate # 280.540 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 280.540 * * [simplify]: iters left: 6 (21 enodes) 280.552 * * [simplify]: iters left: 5 (86 enodes) 280.570 * * [simplify]: iters left: 4 (185 enodes) 280.628 * * [simplify]: Extracting #0: cost 1 inf + 0 280.628 * * [simplify]: Extracting #1: cost 44 inf + 0 280.629 * * [simplify]: Extracting #2: cost 141 inf + 1 280.629 * * [simplify]: Extracting #3: cost 168 inf + 144 280.630 * * [simplify]: Extracting #4: cost 170 inf + 1222 280.631 * * [simplify]: Extracting #5: cost 166 inf + 1930 280.632 * * [simplify]: Extracting #6: cost 140 inf + 10284 280.639 * * [simplify]: Extracting #7: cost 47 inf + 50144 280.654 * * [simplify]: Extracting #8: cost 2 inf + 70474 280.665 * * [simplify]: Extracting #9: cost 0 inf + 71707 280.678 * [simplify]: Simplified to (+ (log a1) (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) 280.678 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log a1) (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 280.678 * * * * [progress]: [ 381 / 4148 ] simplifiying candidate # 280.678 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 280.678 * * [simplify]: iters left: 6 (21 enodes) 280.684 * * [simplify]: iters left: 5 (84 enodes) 280.703 * * [simplify]: iters left: 4 (175 enodes) 280.760 * * [simplify]: iters left: 3 (489 enodes) 281.025 * * [simplify]: Extracting #0: cost 1 inf + 0 281.025 * * [simplify]: Extracting #1: cost 91 inf + 0 281.026 * * [simplify]: Extracting #2: cost 366 inf + 1 281.028 * * [simplify]: Extracting #3: cost 406 inf + 184 281.030 * * [simplify]: Extracting #4: cost 396 inf + 2009 281.038 * * [simplify]: Extracting #5: cost 283 inf + 42792 281.084 * * [simplify]: Extracting #6: cost 47 inf + 157304 281.125 * * [simplify]: Extracting #7: cost 0 inf + 181708 281.193 * * [simplify]: Extracting #8: cost 0 inf + 181638 281.231 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 281.231 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 281.231 * * * * [progress]: [ 382 / 4148 ] simplifiying candidate # 281.232 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 281.232 * * [simplify]: iters left: 6 (21 enodes) 281.241 * * [simplify]: iters left: 5 (89 enodes) 281.259 * * [simplify]: iters left: 4 (192 enodes) 281.319 * * [simplify]: Extracting #0: cost 1 inf + 0 281.319 * * [simplify]: Extracting #1: cost 50 inf + 0 281.320 * * [simplify]: Extracting #2: cost 143 inf + 1 281.321 * * [simplify]: Extracting #3: cost 172 inf + 296 281.322 * * [simplify]: Extracting #4: cost 175 inf + 1180 281.324 * * [simplify]: Extracting #5: cost 172 inf + 1818 281.328 * * [simplify]: Extracting #6: cost 144 inf + 10731 281.341 * * [simplify]: Extracting #7: cost 49 inf + 47845 281.363 * * [simplify]: Extracting #8: cost 1 inf + 72497 281.388 * * [simplify]: Extracting #9: cost 0 inf + 73079 281.411 * [simplify]: Simplified to (- (+ (log a1) (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2))))) 281.411 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (log a1) (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 281.411 * * * * [progress]: [ 383 / 4148 ] simplifiying candidate # 281.412 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 281.412 * * [simplify]: iters left: 6 (21 enodes) 281.424 * * [simplify]: iters left: 5 (87 enodes) 281.447 * * [simplify]: iters left: 4 (169 enodes) 281.520 * * [simplify]: iters left: 3 (498 enodes) 281.791 * * [simplify]: Extracting #0: cost 1 inf + 0 281.791 * * [simplify]: Extracting #1: cost 100 inf + 0 281.792 * * [simplify]: Extracting #2: cost 356 inf + 1 281.794 * * [simplify]: Extracting #3: cost 396 inf + 73 281.799 * * [simplify]: Extracting #4: cost 383 inf + 2353 281.805 * * [simplify]: Extracting #5: cost 272 inf + 43137 281.834 * * [simplify]: Extracting #6: cost 38 inf + 159385 281.875 * * [simplify]: Extracting #7: cost 1 inf + 179344 281.908 * * [simplify]: Extracting #8: cost 0 inf + 179817 281.953 * [simplify]: Simplified to (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2))))))) 281.953 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (log (/ (cbrt (cbrt (sqrt 2))) a1)) (+ (log (cbrt (cbrt (sqrt 2)))) (log (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 281.953 * * * * [progress]: [ 384 / 4148 ] simplifiying candidate # 281.953 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 281.954 * * [simplify]: iters left: 6 (22 enodes) 281.960 * * [simplify]: iters left: 5 (87 enodes) 281.976 * * [simplify]: iters left: 4 (189 enodes) 282.026 * * [simplify]: iters left: 3 (481 enodes) 282.383 * * [simplify]: Extracting #0: cost 1 inf + 0 282.383 * * [simplify]: Extracting #1: cost 110 inf + 0 282.385 * * [simplify]: Extracting #2: cost 386 inf + 1 282.391 * * [simplify]: Extracting #3: cost 406 inf + 631 282.393 * * [simplify]: Extracting #4: cost 395 inf + 2353 282.402 * * [simplify]: Extracting #5: cost 318 inf + 30016 282.452 * * [simplify]: Extracting #6: cost 70 inf + 159996 282.527 * * [simplify]: Extracting #7: cost 0 inf + 199684 282.586 * * [simplify]: Extracting #8: cost 0 inf + 199304 282.665 * [simplify]: Simplified to (+ (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 282.665 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (+ (- (log (cbrt (cbrt (sqrt 2))))) (- (- (log (cbrt (cbrt (sqrt 2))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 282.665 * * * * [progress]: [ 385 / 4148 ] simplifiying candidate # 282.666 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 0)) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 282.666 * * [simplify]: iters left: 6 (21 enodes) 282.672 * * [simplify]: iters left: 5 (83 enodes) 282.688 * * [simplify]: iters left: 4 (178 enodes) 282.756 * * [simplify]: iters left: 3 (460 enodes) 283.154 * * [simplify]: Extracting #0: cost 1 inf + 0 283.154 * * [simplify]: Extracting #1: cost 107 inf + 0 283.155 * * [simplify]: Extracting #2: cost 359 inf + 1 283.157 * * [simplify]: Extracting #3: cost 387 inf + 256 283.161 * * [simplify]: Extracting #4: cost 374 inf + 2003 283.171 * * [simplify]: Extracting #5: cost 291 inf + 32049 283.193 * * [simplify]: Extracting #6: cost 58 inf + 150418 283.256 * * [simplify]: Extracting #7: cost 1 inf + 181991 283.326 * * [simplify]: Extracting #8: cost 0 inf + 182573 283.374 * [simplify]: Simplified to (- (- (+ (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 283.374 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 283.374 * * * * [progress]: [ 386 / 4148 ] simplifiying candidate # 283.374 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 283.375 * * [simplify]: iters left: 6 (22 enodes) 283.381 * * [simplify]: iters left: 5 (91 enodes) 283.399 * * [simplify]: iters left: 4 (183 enodes) 283.456 * * [simplify]: Extracting #0: cost 1 inf + 0 283.456 * * [simplify]: Extracting #1: cost 55 inf + 0 283.457 * * [simplify]: Extracting #2: cost 150 inf + 1 283.458 * * [simplify]: Extracting #3: cost 182 inf + 2 283.459 * * [simplify]: Extracting #4: cost 186 inf + 644 283.460 * * [simplify]: Extracting #5: cost 183 inf + 1291 283.462 * * [simplify]: Extracting #6: cost 159 inf + 6933 283.472 * * [simplify]: Extracting #7: cost 64 inf + 48496 283.493 * * [simplify]: Extracting #8: cost 0 inf + 80231 283.514 * * [simplify]: Extracting #9: cost 0 inf + 79331 283.536 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) 283.536 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 283.536 * * * * [progress]: [ 387 / 4148 ] simplifiying candidate # 283.536 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (- (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (log 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 283.537 * * [simplify]: iters left: 6 (21 enodes) 283.547 * * [simplify]: iters left: 5 (87 enodes) 283.572 * * [simplify]: iters left: 4 (168 enodes) 283.631 * * [simplify]: iters left: 3 (489 enodes) 283.906 * * [simplify]: Extracting #0: cost 1 inf + 0 283.906 * * [simplify]: Extracting #1: cost 115 inf + 0 283.908 * * [simplify]: Extracting #2: cost 369 inf + 1 283.911 * * [simplify]: Extracting #3: cost 403 inf + 296 283.915 * * [simplify]: Extracting #4: cost 392 inf + 2048 283.927 * * [simplify]: Extracting #5: cost 275 inf + 47205 283.979 * * [simplify]: Extracting #6: cost 55 inf + 164758 284.021 * * [simplify]: Extracting #7: cost 1 inf + 195081 284.059 * * [simplify]: Extracting #8: cost 0 inf + 195622 284.118 * [simplify]: Simplified to (- (- (+ (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) 284.118 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (+ (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2))))) (log a1)) (log (cbrt (cbrt (sqrt 2))))) (log (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 284.118 * * * * [progress]: [ 388 / 4148 ] simplifiying candidate # 284.118 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 284.118 * * [simplify]: iters left: 6 (21 enodes) 284.124 * * [simplify]: iters left: 5 (86 enodes) 284.140 * * [simplify]: iters left: 4 (184 enodes) 284.196 * * [simplify]: Extracting #0: cost 1 inf + 0 284.197 * * [simplify]: Extracting #1: cost 49 inf + 0 284.197 * * [simplify]: Extracting #2: cost 145 inf + 0 284.197 * * [simplify]: Extracting #3: cost 176 inf + 73 284.198 * * [simplify]: Extracting #4: cost 178 inf + 1029 284.199 * * [simplify]: Extracting #5: cost 177 inf + 1402 284.201 * * [simplify]: Extracting #6: cost 146 inf + 10446 284.207 * * [simplify]: Extracting #7: cost 46 inf + 51889 284.218 * * [simplify]: Extracting #8: cost 0 inf + 76144 284.230 * * [simplify]: Extracting #9: cost 0 inf + 75994 284.242 * [simplify]: Simplified to (- (log (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))))) 284.242 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (+ (log (cbrt (cbrt (sqrt 2)))) (+ (log (cbrt (cbrt (sqrt 2)))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 284.242 * * * * [progress]: [ 389 / 4148 ] simplifiying candidate # 284.242 * [simplify]: Simplifying (- (- (log (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (log (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 284.242 * * [simplify]: iters left: 6 (20 enodes) 284.248 * * [simplify]: iters left: 5 (82 enodes) 284.272 * * [simplify]: iters left: 4 (173 enodes) 284.335 * * [simplify]: iters left: 3 (477 enodes) 284.622 * * [simplify]: Extracting #0: cost 1 inf + 0 284.622 * * [simplify]: Extracting #1: cost 104 inf + 0 284.623 * * [simplify]: Extracting #2: cost 335 inf + 1 284.624 * * [simplify]: Extracting #3: cost 364 inf + 184 284.626 * * [simplify]: Extracting #4: cost 352 inf + 1727 284.633 * * [simplify]: Extracting #5: cost 240 inf + 45167 284.663 * * [simplify]: Extracting #6: cost 16 inf + 169247 284.700 * * [simplify]: Extracting #7: cost 0 inf + 174720 284.733 * * [simplify]: Extracting #8: cost 0 inf + 174520 284.781 * [simplify]: Simplified to (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 284.781 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (- (log (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) (log (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 284.781 * * * * [progress]: [ 390 / 4148 ] simplifiying candidate # 284.781 * [simplify]: Simplifying (- (log (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 284.783 * * [simplify]: iters left: 6 (20 enodes) 284.788 * * [simplify]: iters left: 5 (80 enodes) 284.808 * * [simplify]: iters left: 4 (188 enodes) 284.873 * * [simplify]: Extracting #0: cost 1 inf + 0 284.873 * * [simplify]: Extracting #1: cost 35 inf + 0 284.873 * * [simplify]: Extracting #2: cost 103 inf + 0 284.874 * * [simplify]: Extracting #3: cost 178 inf + 2 284.875 * * [simplify]: Extracting #4: cost 203 inf + 440 284.875 * * [simplify]: Extracting #5: cost 198 inf + 1291 284.879 * * [simplify]: Extracting #6: cost 145 inf + 16057 284.893 * * [simplify]: Extracting #7: cost 31 inf + 57103 284.915 * * [simplify]: Extracting #8: cost 0 inf + 70919 284.937 * [simplify]: Simplified to (- (log (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1))) 284.937 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (- (log (cbrt (cbrt (sqrt 2)))) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 284.937 * * * * [progress]: [ 391 / 4148 ] simplifiying candidate # 284.937 * [simplify]: Simplifying (- (log (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 284.938 * * [simplify]: iters left: 6 (19 enodes) 284.948 * * [simplify]: iters left: 5 (76 enodes) 284.976 * * [simplify]: iters left: 4 (179 enodes) 285.038 * * [simplify]: Extracting #0: cost 1 inf + 0 285.038 * * [simplify]: Extracting #1: cost 28 inf + 0 285.039 * * [simplify]: Extracting #2: cost 88 inf + 0 285.039 * * [simplify]: Extracting #3: cost 164 inf + 144 285.040 * * [simplify]: Extracting #4: cost 192 inf + 420 285.040 * * [simplify]: Extracting #5: cost 185 inf + 1553 285.042 * * [simplify]: Extracting #6: cost 155 inf + 9947 285.049 * * [simplify]: Extracting #7: cost 35 inf + 50746 285.065 * * [simplify]: Extracting #8: cost 0 inf + 65430 285.077 * * [simplify]: Extracting #9: cost 0 inf + 64100 285.086 * [simplify]: Simplified to (- (log (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1))) 285.087 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (log (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (log (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 285.087 * * * * [progress]: [ 392 / 4148 ] simplifiying candidate # 285.087 * * * * [progress]: [ 393 / 4148 ] simplifiying candidate # 285.087 * * * * [progress]: [ 394 / 4148 ] simplifiying candidate # 285.087 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 285.087 * * [simplify]: iters left: 6 (22 enodes) 285.094 * * [simplify]: iters left: 5 (88 enodes) 285.121 * * [simplify]: iters left: 4 (219 enodes) 285.241 * * [simplify]: Extracting #0: cost 1 inf + 0 285.241 * * [simplify]: Extracting #1: cost 126 inf + 0 285.243 * * [simplify]: Extracting #2: cost 351 inf + 247 285.248 * * [simplify]: Extracting #3: cost 337 inf + 8747 285.257 * * [simplify]: Extracting #4: cost 242 inf + 28463 285.272 * * [simplify]: Extracting #5: cost 84 inf + 86551 285.293 * * [simplify]: Extracting #6: cost 0 inf + 119030 285.342 * * [simplify]: Extracting #7: cost 0 inf + 118990 285.386 * [simplify]: Simplified to (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (/ 2 (* a1 (* a1 a1)))) (* a1 (* a1 a1)))) (cbrt (sqrt 2))) 285.386 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (/ 2 (* a1 (* a1 a1)))) (* a1 (* a1 a1)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 285.387 * * * * [progress]: [ 395 / 4148 ] simplifiying candidate # 285.387 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 285.387 * * [simplify]: iters left: 6 (25 enodes) 285.402 * * [simplify]: iters left: 5 (102 enodes) 285.429 * * [simplify]: iters left: 4 (250 enodes) 285.532 * * [simplify]: Extracting #0: cost 1 inf + 0 285.532 * * [simplify]: Extracting #1: cost 151 inf + 0 285.533 * * [simplify]: Extracting #2: cost 442 inf + 125 285.536 * * [simplify]: Extracting #3: cost 428 inf + 12255 285.545 * * [simplify]: Extracting #4: cost 279 inf + 52793 285.577 * * [simplify]: Extracting #5: cost 110 inf + 123464 285.611 * * [simplify]: Extracting #6: cost 1 inf + 175951 285.677 * * [simplify]: Extracting #7: cost 0 inf + 175295 285.740 * * [simplify]: Extracting #8: cost 0 inf + 175255 285.795 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) 285.795 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 285.795 * * * * [progress]: [ 396 / 4148 ] simplifiying candidate # 285.795 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 285.796 * * [simplify]: iters left: 6 (25 enodes) 285.805 * * [simplify]: iters left: 5 (105 enodes) 285.826 * * [simplify]: iters left: 4 (264 enodes) 286.022 * * [simplify]: Extracting #0: cost 1 inf + 0 286.023 * * [simplify]: Extracting #1: cost 143 inf + 0 286.024 * * [simplify]: Extracting #2: cost 554 inf + 125 286.028 * * [simplify]: Extracting #3: cost 519 inf + 14884 286.041 * * [simplify]: Extracting #4: cost 249 inf + 102172 286.083 * * [simplify]: Extracting #5: cost 17 inf + 191045 286.158 * * [simplify]: Extracting #6: cost 0 inf + 197646 286.213 * [simplify]: Simplified to (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (/ 2 (* a1 (* a1 a1)))) (* a1 (* a1 a1)))) (cbrt (sqrt 2))) 286.213 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* (/ (cos th) (/ 2 (* a1 (* a1 a1)))) (* a1 (* a1 a1)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 286.213 * * * * [progress]: [ 397 / 4148 ] simplifiying candidate # 286.213 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 286.214 * * [simplify]: iters left: 6 (27 enodes) 286.224 * * [simplify]: iters left: 5 (116 enodes) 286.263 * * [simplify]: iters left: 4 (299 enodes) 286.531 * * [simplify]: Extracting #0: cost 1 inf + 0 286.531 * * [simplify]: Extracting #1: cost 185 inf + 0 286.533 * * [simplify]: Extracting #2: cost 594 inf + 247 286.537 * * [simplify]: Extracting #3: cost 615 inf + 12023 286.550 * * [simplify]: Extracting #4: cost 356 inf + 96415 286.617 * * [simplify]: Extracting #5: cost 29 inf + 231025 286.689 * * [simplify]: Extracting #6: cost 0 inf + 243939 286.747 * [simplify]: Simplified to (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) (* a1 (* a1 a1))) (/ (cos th) (/ 2 (* a1 (* a1 a1)))))) 286.747 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (/ (/ (cbrt (sqrt 2)) (* a1 (* a1 a1))) (/ (cos th) (/ 2 (* a1 (* a1 a1))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 286.748 * * * * [progress]: [ 398 / 4148 ] simplifiying candidate # 286.748 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 286.748 * * [simplify]: iters left: 6 (25 enodes) 286.763 * * [simplify]: iters left: 5 (99 enodes) 286.802 * * [simplify]: iters left: 4 (267 enodes) 287.038 * * [simplify]: Extracting #0: cost 1 inf + 0 287.039 * * [simplify]: Extracting #1: cost 147 inf + 0 287.041 * * [simplify]: Extracting #2: cost 542 inf + 125 287.046 * * [simplify]: Extracting #3: cost 525 inf + 17874 287.064 * * [simplify]: Extracting #4: cost 271 inf + 111322 287.141 * * [simplify]: Extracting #5: cost 19 inf + 237387 287.212 * * [simplify]: Extracting #6: cost 0 inf + 244133 287.284 * [simplify]: Simplified to (/ (* (* a1 (* a1 a1)) (* (* (* (cos th) (cos th)) (cos th)) (* a1 (* a1 a1)))) (* (* (* (cbrt (sqrt 2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 2)) 287.284 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* a1 (* a1 a1)) (* (* (* (cos th) (cos th)) (cos th)) (* a1 (* a1 a1)))) (* (* (* (cbrt (sqrt 2)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 287.284 * * * * [progress]: [ 399 / 4148 ] simplifiying candidate # 287.284 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 287.284 * * [simplify]: iters left: 6 (27 enodes) 287.297 * * [simplify]: iters left: 5 (110 enodes) 287.343 * * [simplify]: iters left: 4 (299 enodes) 287.600 * * [simplify]: Extracting #0: cost 1 inf + 0 287.601 * * [simplify]: Extracting #1: cost 167 inf + 0 287.604 * * [simplify]: Extracting #2: cost 589 inf + 125 287.610 * * [simplify]: Extracting #3: cost 625 inf + 8264 287.621 * * [simplify]: Extracting #4: cost 567 inf + 18169 287.647 * * [simplify]: Extracting #5: cost 404 inf + 94291 287.744 * * [simplify]: Extracting #6: cost 39 inf + 271672 287.851 * * [simplify]: Extracting #7: cost 0 inf + 284254 287.937 * * [simplify]: Extracting #8: cost 0 inf + 284054 288.034 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 288.034 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 288.034 * * * * [progress]: [ 400 / 4148 ] simplifiying candidate # 288.034 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 288.035 * * [simplify]: iters left: 6 (23 enodes) 288.042 * * [simplify]: iters left: 5 (106 enodes) 288.086 * * [simplify]: iters left: 4 (327 enodes) 288.447 * * [simplify]: Extracting #0: cost 1 inf + 0 288.447 * * [simplify]: Extracting #1: cost 193 inf + 0 288.454 * * [simplify]: Extracting #2: cost 628 inf + 124 288.458 * * [simplify]: Extracting #3: cost 676 inf + 5606 288.463 * * [simplify]: Extracting #4: cost 634 inf + 12880 288.473 * * [simplify]: Extracting #5: cost 500 inf + 48310 288.524 * * [simplify]: Extracting #6: cost 157 inf + 165840 288.591 * * [simplify]: Extracting #7: cost 3 inf + 221245 288.663 * * [simplify]: Extracting #8: cost 0 inf + 221753 288.751 * [simplify]: Simplified to (/ (* (cos th) (cos th)) (* (/ (sqrt 2) (* a1 (* a1 a1))) (/ (sqrt 2) (/ (cos th) (/ (sqrt 2) (* a1 (* a1 a1))))))) 288.751 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (cos th) (cos th)) (* (/ (sqrt 2) (* a1 (* a1 a1))) (/ (sqrt 2) (/ (cos th) (/ (sqrt 2) (* a1 (* a1 a1)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 288.752 * * * * [progress]: [ 401 / 4148 ] simplifiying candidate # 288.752 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 288.752 * * [simplify]: iters left: 6 (26 enodes) 288.768 * * [simplify]: iters left: 5 (120 enodes) 288.820 * * [simplify]: iters left: 4 (361 enodes) 289.187 * * [simplify]: Extracting #0: cost 1 inf + 0 289.187 * * [simplify]: Extracting #1: cost 258 inf + 0 289.192 * * [simplify]: Extracting #2: cost 799 inf + 124 289.199 * * [simplify]: Extracting #3: cost 900 inf + 1818 289.210 * * [simplify]: Extracting #4: cost 815 inf + 18888 289.243 * * [simplify]: Extracting #5: cost 580 inf + 85881 289.319 * * [simplify]: Extracting #6: cost 224 inf + 235116 289.430 * * [simplify]: Extracting #7: cost 24 inf + 328343 289.506 * * [simplify]: Extracting #8: cost 0 inf + 339144 289.590 * * [simplify]: Extracting #9: cost 0 inf + 338944 289.689 * [simplify]: Simplified to (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) 289.689 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 289.690 * * * * [progress]: [ 402 / 4148 ] simplifiying candidate # 289.690 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 289.690 * * [simplify]: iters left: 6 (27 enodes) 289.707 * * [simplify]: iters left: 5 (126 enodes) 289.764 * * [simplify]: iters left: 4 (372 enodes) 290.155 * * [simplify]: Extracting #0: cost 1 inf + 0 290.156 * * [simplify]: Extracting #1: cost 231 inf + 0 290.159 * * [simplify]: Extracting #2: cost 1334 inf + 124 290.165 * * [simplify]: Extracting #3: cost 1584 inf + 676 290.173 * * [simplify]: Extracting #4: cost 1545 inf + 6754 290.203 * * [simplify]: Extracting #5: cost 992 inf + 160545 290.312 * * [simplify]: Extracting #6: cost 213 inf + 433927 290.452 * * [simplify]: Extracting #7: cost 2 inf + 521391 290.600 * * [simplify]: Extracting #8: cost 0 inf + 520756 290.748 * * [simplify]: Extracting #9: cost 0 inf + 520716 290.869 * [simplify]: Simplified to (/ (* a1 (* a1 a1)) (* (/ (sqrt 2) (* a1 (* a1 a1))) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (* (cos th) (cos th)))))) 290.869 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* a1 (* a1 a1)) (* (/ (sqrt 2) (* a1 (* a1 a1))) (* (/ (sqrt 2) (cos th)) (/ (sqrt 2) (* (cos th) (cos th))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 290.869 * * * * [progress]: [ 403 / 4148 ] simplifiying candidate # 290.870 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 290.870 * * [simplify]: iters left: 6 (29 enodes) 290.879 * * [simplify]: iters left: 5 (137 enodes) 290.923 * * [simplify]: iters left: 4 (404 enodes) 291.363 * * [simplify]: Extracting #0: cost 1 inf + 0 291.364 * * [simplify]: Extracting #1: cost 334 inf + 0 291.373 * * [simplify]: Extracting #2: cost 1502 inf + 124 291.387 * * [simplify]: Extracting #3: cost 1752 inf + 2960 291.404 * * [simplify]: Extracting #4: cost 1700 inf + 12075 291.440 * * [simplify]: Extracting #5: cost 1114 inf + 172805 291.535 * * [simplify]: Extracting #6: cost 262 inf + 504645 291.720 * * [simplify]: Extracting #7: cost 8 inf + 622386 291.912 * * [simplify]: Extracting #8: cost 0 inf + 626226 292.130 * [simplify]: Simplified to (* a1 (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (/ (cbrt (sqrt 2)) a1) a1) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2))))))) 292.130 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* a1 (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (/ (cbrt (sqrt 2)) a1) a1) (* (* (sqrt 2) (cbrt (sqrt 2))) (* (sqrt 2) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 292.131 * * * * [progress]: [ 404 / 4148 ] simplifiying candidate # 292.131 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 292.131 * * [simplify]: iters left: 6 (27 enodes) 292.147 * * [simplify]: iters left: 5 (120 enodes) 292.183 * * [simplify]: iters left: 4 (377 enodes) 292.712 * * [simplify]: Extracting #0: cost 1 inf + 0 292.713 * * [simplify]: Extracting #1: cost 292 inf + 0 292.717 * * [simplify]: Extracting #2: cost 1110 inf + 124 292.728 * * [simplify]: Extracting #3: cost 1258 inf + 2886 292.737 * * [simplify]: Extracting #4: cost 1186 inf + 16646 292.754 * * [simplify]: Extracting #5: cost 902 inf + 110468 292.829 * * [simplify]: Extracting #6: cost 201 inf + 442914 293.042 * * [simplify]: Extracting #7: cost 0 inf + 523101 293.211 * * [simplify]: Extracting #8: cost 0 inf + 520871 293.404 * [simplify]: Simplified to (/ (* (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* a1 (* a1 a1))) (* (* (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2)))) 293.404 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* a1 (* a1 a1))) (* (* (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 293.404 * * * * [progress]: [ 405 / 4148 ] simplifiying candidate # 293.405 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 293.405 * * [simplify]: iters left: 6 (29 enodes) 293.413 * * [simplify]: iters left: 5 (131 enodes) 293.453 * * [simplify]: iters left: 4 (407 enodes) 294.058 * * [simplify]: Extracting #0: cost 1 inf + 0 294.059 * * [simplify]: Extracting #1: cost 397 inf + 0 294.064 * * [simplify]: Extracting #2: cost 1286 inf + 124 294.072 * * [simplify]: Extracting #3: cost 1452 inf + 919 294.080 * * [simplify]: Extracting #4: cost 1423 inf + 4710 294.097 * * [simplify]: Extracting #5: cost 1296 inf + 35606 294.159 * * [simplify]: Extracting #6: cost 730 inf + 270045 294.330 * * [simplify]: Extracting #7: cost 52 inf + 611053 294.520 * * [simplify]: Extracting #8: cost 0 inf + 630999 294.728 * * [simplify]: Extracting #9: cost 0 inf + 629639 294.983 * [simplify]: Simplified to (/ (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (sqrt 2)) (sqrt 2)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))) 294.983 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (sqrt 2)) (sqrt 2)) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 294.984 * * * * [progress]: [ 406 / 4148 ] simplifiying candidate # 294.984 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 294.984 * * [simplify]: iters left: 6 (23 enodes) 294.996 * * [simplify]: iters left: 5 (100 enodes) 295.048 * * [simplify]: iters left: 4 (364 enodes) 295.384 * * [simplify]: Extracting #0: cost 1 inf + 0 295.385 * * [simplify]: Extracting #1: cost 167 inf + 0 295.389 * * [simplify]: Extracting #2: cost 601 inf + 124 295.395 * * [simplify]: Extracting #3: cost 652 inf + 4920 295.405 * * [simplify]: Extracting #4: cost 607 inf + 14517 295.439 * * [simplify]: Extracting #5: cost 295 inf + 146742 295.548 * * [simplify]: Extracting #6: cost 7 inf + 261469 295.634 * * [simplify]: Extracting #7: cost 0 inf + 244651 295.737 * * [simplify]: Extracting #8: cost 0 inf + 243360 295.825 * [simplify]: Simplified to (/ (* (cos th) (cos th)) (* (* (* (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt 2))) (cos th)))) 295.825 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (cos th) (cos th)) (* (* (* (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* (* (/ (cbrt (sqrt 2)) a1) (* (/ (cbrt (sqrt 2)) a1) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt 2))) (cos th))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 295.825 * * * * [progress]: [ 407 / 4148 ] simplifiying candidate # 295.825 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 295.825 * * [simplify]: iters left: 6 (26 enodes) 295.833 * * [simplify]: iters left: 5 (114 enodes) 295.880 * * [simplify]: iters left: 4 (388 enodes) 296.186 * * [simplify]: Extracting #0: cost 1 inf + 0 296.187 * * [simplify]: Extracting #1: cost 174 inf + 0 296.194 * * [simplify]: Extracting #2: cost 680 inf + 124 296.198 * * [simplify]: Extracting #3: cost 778 inf + 3932 296.203 * * [simplify]: Extracting #4: cost 756 inf + 7609 296.216 * * [simplify]: Extracting #5: cost 615 inf + 58876 296.267 * * [simplify]: Extracting #6: cost 214 inf + 240600 296.369 * * [simplify]: Extracting #7: cost 2 inf + 319303 296.454 * * [simplify]: Extracting #8: cost 0 inf + 314261 296.551 * * [simplify]: Extracting #9: cost 0 inf + 314221 296.673 * [simplify]: Simplified to (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 296.674 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 296.674 * * * * [progress]: [ 408 / 4148 ] simplifiying candidate # 296.674 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 296.675 * * [simplify]: iters left: 6 (27 enodes) 296.686 * * [simplify]: iters left: 5 (123 enodes) 296.718 * * [simplify]: iters left: 4 (392 enodes) 297.102 * * [simplify]: Extracting #0: cost 1 inf + 0 297.102 * * [simplify]: Extracting #1: cost 212 inf + 0 297.105 * * [simplify]: Extracting #2: cost 1208 inf + 124 297.113 * * [simplify]: Extracting #3: cost 1457 inf + 3403 297.129 * * [simplify]: Extracting #4: cost 1372 inf + 21901 297.155 * * [simplify]: Extracting #5: cost 794 inf + 202254 297.268 * * [simplify]: Extracting #6: cost 96 inf + 496414 297.417 * * [simplify]: Extracting #7: cost 0 inf + 533419 297.583 * * [simplify]: Extracting #8: cost 0 inf + 532299 297.720 * [simplify]: Simplified to (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (sqrt 2))) 297.720 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (cos th) a1) (* (* (cos th) a1) (* (cos th) a1))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 297.721 * * * * [progress]: [ 409 / 4148 ] simplifiying candidate # 297.721 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 297.721 * * [simplify]: iters left: 6 (29 enodes) 297.733 * * [simplify]: iters left: 5 (134 enodes) 297.797 * * [simplify]: iters left: 4 (423 enodes) 298.226 * * [simplify]: Extracting #0: cost 1 inf + 0 298.227 * * [simplify]: Extracting #1: cost 283 inf + 0 298.236 * * [simplify]: Extracting #2: cost 1307 inf + 124 298.244 * * [simplify]: Extracting #3: cost 1628 inf + 1961 298.258 * * [simplify]: Extracting #4: cost 1602 inf + 6584 298.284 * * [simplify]: Extracting #5: cost 1395 inf + 68415 298.368 * * [simplify]: Extracting #6: cost 562 inf + 401208 298.532 * * [simplify]: Extracting #7: cost 47 inf + 614204 298.737 * * [simplify]: Extracting #8: cost 0 inf + 620553 298.959 * * [simplify]: Extracting #9: cost 0 inf + 619873 299.259 * [simplify]: Simplified to (* (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (* a1 a1)) (/ (cbrt (sqrt 2)) (* a1 (* a1 a1))))) 299.259 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (* a1 a1)) (/ (cbrt (sqrt 2)) (* a1 (* a1 a1)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 299.259 * * * * [progress]: [ 410 / 4148 ] simplifiying candidate # 299.260 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 299.260 * * [simplify]: iters left: 6 (25 enodes) 299.274 * * [simplify]: iters left: 5 (115 enodes) 299.330 * * [simplify]: iters left: 4 (395 enodes) 299.903 * * [simplify]: Extracting #0: cost 1 inf + 0 299.904 * * [simplify]: Extracting #1: cost 258 inf + 0 299.911 * * [simplify]: Extracting #2: cost 1110 inf + 124 299.921 * * [simplify]: Extracting #3: cost 1253 inf + 3816 299.943 * * [simplify]: Extracting #4: cost 1228 inf + 7520 299.967 * * [simplify]: Extracting #5: cost 1060 inf + 76758 300.047 * * [simplify]: Extracting #6: cost 316 inf + 447713 300.224 * * [simplify]: Extracting #7: cost 0 inf + 577919 300.411 * * [simplify]: Extracting #8: cost 0 inf + 569264 300.624 * * [simplify]: Extracting #9: cost 0 inf + 569104 300.859 * [simplify]: Simplified to (* (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* a1 (* a1 a1)))) (/ (* a1 (* a1 a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 300.859 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* a1 (* a1 a1)))) (/ (* a1 (* a1 a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 300.860 * * * * [progress]: [ 411 / 4148 ] simplifiying candidate # 300.860 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) (cos th)) (cos th)) (* (* a1 a1) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 300.860 * * [simplify]: iters left: 6 (27 enodes) 300.868 * * [simplify]: iters left: 5 (126 enodes) 300.909 * * [simplify]: iters left: 4 (425 enodes) 301.526 * * [simplify]: Extracting #0: cost 1 inf + 0 301.526 * * [simplify]: Extracting #1: cost 302 inf + 0 301.531 * * [simplify]: Extracting #2: cost 1201 inf + 124 301.543 * * [simplify]: Extracting #3: cost 1407 inf + 941 301.551 * * [simplify]: Extracting #4: cost 1385 inf + 4576 301.560 * * [simplify]: Extracting #5: cost 1376 inf + 5781 301.585 * * [simplify]: Extracting #6: cost 1211 inf + 68395 301.740 * * [simplify]: Extracting #7: cost 343 inf + 504091 301.962 * * [simplify]: Extracting #8: cost 2 inf + 653354 302.249 * * [simplify]: Extracting #9: cost 0 inf + 649149 302.501 * [simplify]: Simplified to (/ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))))) 302.501 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 302.501 * * * * [progress]: [ 412 / 4148 ] simplifiying candidate # 302.501 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 302.502 * * [simplify]: iters left: 6 (22 enodes) 302.509 * * [simplify]: iters left: 5 (92 enodes) 302.526 * * [simplify]: iters left: 4 (230 enodes) 302.643 * * [simplify]: Extracting #0: cost 1 inf + 0 302.644 * * [simplify]: Extracting #1: cost 129 inf + 0 302.645 * * [simplify]: Extracting #2: cost 358 inf + 168 302.647 * * [simplify]: Extracting #3: cost 350 inf + 6438 302.655 * * [simplify]: Extracting #4: cost 183 inf + 51935 302.697 * * [simplify]: Extracting #5: cost 6 inf + 117139 302.722 * * [simplify]: Extracting #6: cost 0 inf + 119285 302.760 * [simplify]: Simplified to (* (* a1 (* a1 a1)) (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (* a1 (cos th)) 2)))) 302.760 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* a1 (* a1 a1)) (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (* a1 (cos th)) 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 302.761 * * * * [progress]: [ 413 / 4148 ] simplifiying candidate # 302.761 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 302.761 * * [simplify]: iters left: 6 (23 enodes) 302.775 * * [simplify]: iters left: 5 (100 enodes) 302.800 * * [simplify]: iters left: 4 (256 enodes) 302.913 * * [simplify]: Extracting #0: cost 1 inf + 0 302.913 * * [simplify]: Extracting #1: cost 154 inf + 0 302.914 * * [simplify]: Extracting #2: cost 450 inf + 3 302.923 * * [simplify]: Extracting #3: cost 432 inf + 11112 302.939 * * [simplify]: Extracting #4: cost 292 inf + 45233 302.974 * * [simplify]: Extracting #5: cost 145 inf + 108049 303.035 * * [simplify]: Extracting #6: cost 4 inf + 177176 303.101 * * [simplify]: Extracting #7: cost 0 inf + 174705 303.165 * * [simplify]: Extracting #8: cost 0 inf + 173265 303.229 * * [simplify]: Extracting #9: cost 0 inf + 172585 303.295 * [simplify]: Simplified to (/ (/ (* (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) 2)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 303.295 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) 2)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 303.296 * * * * [progress]: [ 414 / 4148 ] simplifiying candidate # 303.296 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 303.297 * * [simplify]: iters left: 6 (25 enodes) 303.313 * * [simplify]: iters left: 5 (109 enodes) 303.358 * * [simplify]: iters left: 4 (274 enodes) 303.573 * * [simplify]: Extracting #0: cost 1 inf + 0 303.573 * * [simplify]: Extracting #1: cost 162 inf + 0 303.575 * * [simplify]: Extracting #2: cost 555 inf + 207 303.579 * * [simplify]: Extracting #3: cost 535 inf + 13852 303.599 * * [simplify]: Extracting #4: cost 306 inf + 80822 303.635 * * [simplify]: Extracting #5: cost 48 inf + 185039 303.710 * * [simplify]: Extracting #6: cost 1 inf + 204786 303.757 * * [simplify]: Extracting #7: cost 0 inf + 205229 303.817 * [simplify]: Simplified to (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1)) (/ (* a1 (cos th)) 2))) 303.817 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1)) (/ (* a1 (cos th)) 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 303.818 * * * * [progress]: [ 415 / 4148 ] simplifiying candidate # 303.818 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 303.818 * * [simplify]: iters left: 6 (25 enodes) 303.833 * * [simplify]: iters left: 5 (114 enodes) 303.875 * * [simplify]: iters left: 4 (300 enodes) 304.097 * * [simplify]: Extracting #0: cost 1 inf + 0 304.097 * * [simplify]: Extracting #1: cost 191 inf + 0 304.099 * * [simplify]: Extracting #2: cost 612 inf + 45 304.103 * * [simplify]: Extracting #3: cost 656 inf + 8307 304.117 * * [simplify]: Extracting #4: cost 364 inf + 100741 304.164 * * [simplify]: Extracting #5: cost 39 inf + 232292 304.258 * * [simplify]: Extracting #6: cost 0 inf + 249262 304.334 * * [simplify]: Extracting #7: cost 0 inf + 249222 304.383 * [simplify]: Simplified to (* a1 (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) (/ (* a1 (cos th)) 2)))) 304.383 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* a1 (/ (* (/ (* a1 (cos th)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (cbrt (sqrt 2)))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) (/ (* a1 (cos th)) 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 304.383 * * * * [progress]: [ 416 / 4148 ] simplifiying candidate # 304.384 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 304.384 * * [simplify]: iters left: 6 (25 enodes) 304.399 * * [simplify]: iters left: 5 (103 enodes) 304.443 * * [simplify]: iters left: 4 (278 enodes) 304.664 * * [simplify]: Extracting #0: cost 1 inf + 0 304.665 * * [simplify]: Extracting #1: cost 155 inf + 0 304.668 * * [simplify]: Extracting #2: cost 553 inf + 125 304.681 * * [simplify]: Extracting #3: cost 460 inf + 45016 304.731 * * [simplify]: Extracting #4: cost 55 inf + 222397 304.820 * * [simplify]: Extracting #5: cost 0 inf + 250042 304.906 * * [simplify]: Extracting #6: cost 0 inf + 249522 304.980 * * [simplify]: Extracting #7: cost 0 inf + 249042 305.066 * [simplify]: Simplified to (/ (* (* (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (* a1 (cos th)) 2) (* a1 (* a1 a1)))) (cbrt (sqrt 2))) 305.066 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (* a1 (cos th)) 2) (* a1 (* a1 a1)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 305.067 * * * * [progress]: [ 417 / 4148 ] simplifiying candidate # 305.067 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (sqrt 2) (sqrt 2)) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 305.068 * * [simplify]: iters left: 6 (25 enodes) 305.084 * * [simplify]: iters left: 5 (108 enodes) 305.127 * * [simplify]: iters left: 4 (303 enodes) 305.362 * * [simplify]: Extracting #0: cost 1 inf + 0 305.362 * * [simplify]: Extracting #1: cost 169 inf + 0 305.365 * * [simplify]: Extracting #2: cost 579 inf + 45 305.372 * * [simplify]: Extracting #3: cost 623 inf + 5961 305.388 * * [simplify]: Extracting #4: cost 487 inf + 44387 305.438 * * [simplify]: Extracting #5: cost 225 inf + 177374 305.563 * * [simplify]: Extracting #6: cost 9 inf + 283100 305.644 * * [simplify]: Extracting #7: cost 0 inf + 279949 305.767 * * [simplify]: Extracting #8: cost 0 inf + 277869 305.867 * * [simplify]: Extracting #9: cost 0 inf + 277469 305.997 * * [simplify]: Extracting #10: cost 0 inf + 277429 306.098 * [simplify]: Simplified to (/ (/ (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 306.098 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (* (* a1 (cos th)) (* (* a1 (cos th)) (* a1 (cos th)))) 2) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 306.099 * * * * [progress]: [ 418 / 4148 ] simplifiying candidate # 306.099 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 306.099 * * [simplify]: iters left: 6 (23 enodes) 306.113 * * [simplify]: iters left: 5 (110 enodes) 306.141 * * [simplify]: iters left: 4 (324 enodes) 306.840 * * [simplify]: Extracting #0: cost 1 inf + 0 306.841 * * [simplify]: Extracting #1: cost 170 inf + 0 306.844 * * [simplify]: Extracting #2: cost 599 inf + 2 306.850 * * [simplify]: Extracting #3: cost 654 inf + 4384 306.858 * * [simplify]: Extracting #4: cost 629 inf + 8663 306.868 * * [simplify]: Extracting #5: cost 484 inf + 43524 306.907 * * [simplify]: Extracting #6: cost 137 inf + 161543 306.990 * * [simplify]: Extracting #7: cost 1 inf + 211564 307.054 * * [simplify]: Extracting #8: cost 0 inf + 211187 307.115 * [simplify]: Simplified to (* (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (* a1 (cos th)) (sqrt 2))) (* (* a1 a1) a1)) 307.115 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (* a1 (cos th)) (sqrt 2))) (* (* a1 a1) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 307.115 * * * * [progress]: [ 419 / 4148 ] simplifiying candidate # 307.116 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 307.116 * * [simplify]: iters left: 6 (24 enodes) 307.130 * * [simplify]: iters left: 5 (118 enodes) 307.166 * * [simplify]: iters left: 4 (362 enodes) 307.607 * * [simplify]: Extracting #0: cost 1 inf + 0 307.608 * * [simplify]: Extracting #1: cost 254 inf + 0 307.611 * * [simplify]: Extracting #2: cost 787 inf + 43 307.620 * * [simplify]: Extracting #3: cost 872 inf + 1069 307.625 * * [simplify]: Extracting #4: cost 837 inf + 6331 307.634 * * [simplify]: Extracting #5: cost 670 inf + 48542 307.699 * * [simplify]: Extracting #6: cost 233 inf + 212806 307.786 * * [simplify]: Extracting #7: cost 5 inf + 318604 307.868 * * [simplify]: Extracting #8: cost 0 inf + 318639 307.983 * * [simplify]: Extracting #9: cost 0 inf + 318599 308.079 * [simplify]: Simplified to (/ (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) 308.079 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 308.080 * * * * [progress]: [ 420 / 4148 ] simplifiying candidate # 308.080 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 308.080 * * [simplify]: iters left: 6 (27 enodes) 308.088 * * [simplify]: iters left: 5 (130 enodes) 308.123 * * [simplify]: iters left: 4 (368 enodes) 308.542 * * [simplify]: Extracting #0: cost 1 inf + 0 308.543 * * [simplify]: Extracting #1: cost 200 inf + 0 308.546 * * [simplify]: Extracting #2: cost 1294 inf + 124 308.553 * * [simplify]: Extracting #3: cost 1497 inf + 2638 308.570 * * [simplify]: Extracting #4: cost 1469 inf + 8467 308.580 * * [simplify]: Extracting #5: cost 1427 inf + 16438 308.624 * * [simplify]: Extracting #6: cost 551 inf + 276535 308.754 * * [simplify]: Extracting #7: cost 20 inf + 482811 308.904 * * [simplify]: Extracting #8: cost 0 inf + 489843 309.015 * * [simplify]: Extracting #9: cost 0 inf + 489403 309.185 * [simplify]: Simplified to (/ (* a1 (cos th)) (* (/ (sqrt 2) (* (* a1 a1) a1)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th)))))) 309.186 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* a1 (cos th)) (* (/ (sqrt 2) (* (* a1 a1) a1)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 309.186 * * * * [progress]: [ 421 / 4148 ] simplifiying candidate # 309.186 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 309.187 * * [simplify]: iters left: 6 (27 enodes) 309.203 * * [simplify]: iters left: 5 (135 enodes) 309.255 * * [simplify]: iters left: 4 (402 enodes) 309.673 * * [simplify]: Extracting #0: cost 1 inf + 0 309.674 * * [simplify]: Extracting #1: cost 278 inf + 0 309.678 * * [simplify]: Extracting #2: cost 1469 inf + 43 309.688 * * [simplify]: Extracting #3: cost 1731 inf + 1964 309.705 * * [simplify]: Extracting #4: cost 1692 inf + 9887 309.733 * * [simplify]: Extracting #5: cost 1198 inf + 151977 309.836 * * [simplify]: Extracting #6: cost 220 inf + 512473 309.970 * * [simplify]: Extracting #7: cost 2 inf + 591335 310.115 * * [simplify]: Extracting #8: cost 0 inf + 592139 310.302 * [simplify]: Simplified to (* (/ (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) a1)) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 310.302 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) a1)) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 310.302 * * * * [progress]: [ 422 / 4148 ] simplifiying candidate # 310.303 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 310.303 * * [simplify]: iters left: 6 (27 enodes) 310.318 * * [simplify]: iters left: 5 (124 enodes) 310.367 * * [simplify]: iters left: 4 (373 enodes) 310.784 * * [simplify]: Extracting #0: cost 1 inf + 0 310.785 * * [simplify]: Extracting #1: cost 266 inf + 0 310.791 * * [simplify]: Extracting #2: cost 1010 inf + 43 310.801 * * [simplify]: Extracting #3: cost 1138 inf + 3013 310.814 * * [simplify]: Extracting #4: cost 1104 inf + 8598 310.844 * * [simplify]: Extracting #5: cost 853 inf + 93571 310.936 * * [simplify]: Extracting #6: cost 121 inf + 428041 311.096 * * [simplify]: Extracting #7: cost 0 inf + 474408 311.294 * * [simplify]: Extracting #8: cost 0 inf + 471928 311.454 * * [simplify]: Extracting #9: cost 0 inf + 471768 311.636 * [simplify]: Simplified to (/ (/ (/ (/ (* a1 (cos th)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 311.636 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (/ (* a1 (cos th)) (* (/ (sqrt 2) (* a1 (cos th))) (/ (sqrt 2) (* a1 (cos th))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 311.636 * * * * [progress]: [ 423 / 4148 ] simplifiying candidate # 311.637 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (/ (* (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (* 1 1) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 311.637 * * [simplify]: iters left: 6 (27 enodes) 311.652 * * [simplify]: iters left: 5 (129 enodes) 311.687 * * [simplify]: iters left: 4 (400 enodes) 312.184 * * [simplify]: Extracting #0: cost 1 inf + 0 312.185 * * [simplify]: Extracting #1: cost 331 inf + 0 312.188 * * [simplify]: Extracting #2: cost 1113 inf + 43 312.194 * * [simplify]: Extracting #3: cost 1280 inf + 1247 312.203 * * [simplify]: Extracting #4: cost 1215 inf + 12310 312.236 * * [simplify]: Extracting #5: cost 972 inf + 89770 312.325 * * [simplify]: Extracting #6: cost 401 inf + 348272 312.478 * * [simplify]: Extracting #7: cost 10 inf + 538014 312.637 * * [simplify]: Extracting #8: cost 0 inf + 542459 312.847 * * [simplify]: Extracting #9: cost 0 inf + 542419 313.070 * [simplify]: Simplified to (/ (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 313.070 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (* (/ (* a1 (cos th)) (sqrt 2)) (/ (* a1 (cos th)) (sqrt 2))) (* a1 (cos th))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 313.070 * * * * [progress]: [ 424 / 4148 ] simplifiying candidate # 313.071 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 313.071 * * [simplify]: iters left: 6 (23 enodes) 313.084 * * [simplify]: iters left: 5 (104 enodes) 313.134 * * [simplify]: iters left: 4 (377 enodes) 313.525 * * [simplify]: Extracting #0: cost 1 inf + 0 313.525 * * [simplify]: Extracting #1: cost 162 inf + 0 313.527 * * [simplify]: Extracting #2: cost 598 inf + 124 313.531 * * [simplify]: Extracting #3: cost 660 inf + 4526 313.536 * * [simplify]: Extracting #4: cost 623 inf + 12041 313.552 * * [simplify]: Extracting #5: cost 431 inf + 80653 313.617 * * [simplify]: Extracting #6: cost 78 inf + 223939 313.708 * * [simplify]: Extracting #7: cost 2 inf + 255723 313.802 * * [simplify]: Extracting #8: cost 0 inf + 255968 313.885 * * [simplify]: Extracting #9: cost 0 inf + 255768 313.960 * [simplify]: Simplified to (* (* (* a1 a1) a1) (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 313.960 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (* a1 a1) a1) (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 313.960 * * * * [progress]: [ 425 / 4148 ] simplifiying candidate # 313.961 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 313.961 * * [simplify]: iters left: 6 (24 enodes) 313.974 * * [simplify]: iters left: 5 (116 enodes) 314.031 * * [simplify]: iters left: 4 (404 enodes) 314.549 * * [simplify]: Extracting #0: cost 1 inf + 0 314.550 * * [simplify]: Extracting #1: cost 178 inf + 0 314.553 * * [simplify]: Extracting #2: cost 679 inf + 43 314.561 * * [simplify]: Extracting #3: cost 784 inf + 2904 314.570 * * [simplify]: Extracting #4: cost 761 inf + 6119 314.584 * * [simplify]: Extracting #5: cost 693 inf + 26984 314.656 * * [simplify]: Extracting #6: cost 297 inf + 189693 314.767 * * [simplify]: Extracting #7: cost 7 inf + 317948 314.899 * * [simplify]: Extracting #8: cost 0 inf + 319060 315.002 * [simplify]: Simplified to (* (/ (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 315.002 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 315.003 * * * * [progress]: [ 426 / 4148 ] simplifiying candidate # 315.003 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 315.004 * * [simplify]: iters left: 6 (27 enodes) 315.020 * * [simplify]: iters left: 5 (127 enodes) 315.080 * * [simplify]: iters left: 4 (399 enodes) 315.549 * * [simplify]: Extracting #0: cost 1 inf + 0 315.550 * * [simplify]: Extracting #1: cost 219 inf + 0 315.555 * * [simplify]: Extracting #2: cost 1217 inf + 124 315.566 * * [simplify]: Extracting #3: cost 1459 inf + 2387 315.578 * * [simplify]: Extracting #4: cost 1420 inf + 9284 315.607 * * [simplify]: Extracting #5: cost 1049 inf + 126131 315.670 * * [simplify]: Extracting #6: cost 326 inf + 401139 315.819 * * [simplify]: Extracting #7: cost 9 inf + 527068 315.933 * * [simplify]: Extracting #8: cost 0 inf + 530299 316.071 * [simplify]: Simplified to (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt 2)) (* (* a1 a1) a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 316.071 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (sqrt 2)) (* (* a1 a1) a1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 316.072 * * * * [progress]: [ 427 / 4148 ] simplifiying candidate # 316.072 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 316.072 * * [simplify]: iters left: 6 (27 enodes) 316.087 * * [simplify]: iters left: 5 (132 enodes) 316.131 * * [simplify]: iters left: 4 (432 enodes) 316.674 * * [simplify]: Extracting #0: cost 1 inf + 0 316.674 * * [simplify]: Extracting #1: cost 268 inf + 0 316.678 * * [simplify]: Extracting #2: cost 1318 inf + 43 316.684 * * [simplify]: Extracting #3: cost 1656 inf + 1971 316.692 * * [simplify]: Extracting #4: cost 1627 inf + 5896 316.715 * * [simplify]: Extracting #5: cost 1298 inf + 110604 316.862 * * [simplify]: Extracting #6: cost 319 inf + 510126 317.051 * * [simplify]: Extracting #7: cost 0 inf + 624324 317.246 * * [simplify]: Extracting #8: cost 0 inf + 619150 317.454 * [simplify]: Simplified to (/ (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1))) 317.454 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 317.455 * * * * [progress]: [ 428 / 4148 ] simplifiying candidate # 317.455 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 317.455 * * [simplify]: iters left: 6 (25 enodes) 317.466 * * [simplify]: iters left: 5 (119 enodes) 317.512 * * [simplify]: iters left: 4 (405 enodes) 318.155 * * [simplify]: Extracting #0: cost 1 inf + 0 318.155 * * [simplify]: Extracting #1: cost 249 inf + 0 318.162 * * [simplify]: Extracting #2: cost 1108 inf + 124 318.172 * * [simplify]: Extracting #3: cost 1258 inf + 2595 318.185 * * [simplify]: Extracting #4: cost 1228 inf + 7192 318.207 * * [simplify]: Extracting #5: cost 1097 inf + 57339 318.310 * * [simplify]: Extracting #6: cost 294 inf + 451862 318.505 * * [simplify]: Extracting #7: cost 2 inf + 577466 318.722 * * [simplify]: Extracting #8: cost 0 inf + 573294 318.941 * [simplify]: Simplified to (/ (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* a1 (* a1 a1)))) (cbrt (sqrt 2))) 318.941 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (sqrt 2))))) (* a1 (* a1 a1)))) (cbrt (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 318.942 * * * * [progress]: [ 429 / 4148 ] simplifiying candidate # 318.942 * [simplify]: Simplifying (/ (/ (/ (* (* (* (cos th) a1) (* (cos th) a1)) (* (cos th) a1)) (* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 318.943 * * [simplify]: iters left: 6 (25 enodes) 318.957 * * [simplify]: iters left: 5 (124 enodes) 318.989 * * [simplify]: iters left: 4 (430 enodes) 319.734 * * [simplify]: Extracting #0: cost 1 inf + 0 319.734 * * [simplify]: Extracting #1: cost 280 inf + 0 319.738 * * [simplify]: Extracting #2: cost 1179 inf + 2 319.745 * * [simplify]: Extracting #3: cost 1376 inf + 2071 319.752 * * [simplify]: Extracting #4: cost 1354 inf + 5377 319.764 * * [simplify]: Extracting #5: cost 1347 inf + 6076 319.787 * * [simplify]: Extracting #6: cost 1218 inf + 53832 319.847 * * [simplify]: Extracting #7: cost 692 inf + 302508 320.044 * * [simplify]: Extracting #8: cost 91 inf + 632202 320.322 * * [simplify]: Extracting #9: cost 0 inf + 641420 320.551 * * [simplify]: Extracting #10: cost 0 inf + 635451 320.819 * * [simplify]: Extracting #11: cost 0 inf + 635251 321.061 * [simplify]: Simplified to (/ (* (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) 321.061 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (cbrt (cbrt (sqrt 2))) a1) (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 321.062 * * * * [progress]: [ 430 / 4148 ] simplifiying candidate # 321.062 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 321.062 * * [simplify]: iters left: 6 (21 enodes) 321.074 * * [simplify]: iters left: 5 (87 enodes) 321.113 * * [simplify]: iters left: 4 (265 enodes) 321.305 * * [simplify]: Extracting #0: cost 1 inf + 0 321.306 * * [simplify]: Extracting #1: cost 109 inf + 0 321.308 * * [simplify]: Extracting #2: cost 439 inf + 2 321.312 * * [simplify]: Extracting #3: cost 465 inf + 1470 321.320 * * [simplify]: Extracting #4: cost 388 inf + 24736 321.352 * * [simplify]: Extracting #5: cost 111 inf + 135397 321.419 * * [simplify]: Extracting #6: cost 0 inf + 180497 321.494 * * [simplify]: Extracting #7: cost 0 inf + 179937 321.544 * [simplify]: Simplified to (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (* (* a1 a1) a1))) 321.544 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (* (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2))))) (* (* a1 a1) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 321.545 * * * * [progress]: [ 431 / 4148 ] simplifiying candidate # 321.545 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 321.545 * * [simplify]: iters left: 6 (22 enodes) 321.556 * * [simplify]: iters left: 5 (94 enodes) 321.582 * * [simplify]: iters left: 4 (290 enodes) 321.772 * * [simplify]: Extracting #0: cost 1 inf + 0 321.772 * * [simplify]: Extracting #1: cost 114 inf + 0 321.775 * * [simplify]: Extracting #2: cost 499 inf + 2 321.779 * * [simplify]: Extracting #3: cost 569 inf + 86 321.783 * * [simplify]: Extracting #4: cost 551 inf + 2096 321.786 * * [simplify]: Extracting #5: cost 519 inf + 10609 321.807 * * [simplify]: Extracting #6: cost 263 inf + 109807 321.865 * * [simplify]: Extracting #7: cost 12 inf + 227054 321.931 * * [simplify]: Extracting #8: cost 0 inf + 232307 321.987 * * [simplify]: Extracting #9: cost 0 inf + 232267 322.072 * [simplify]: Simplified to (/ (/ (* (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) 322.072 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (* (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))) (* (/ (cbrt (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 322.072 * * * * [progress]: [ 432 / 4148 ] simplifiying candidate # 322.073 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 322.073 * * [simplify]: iters left: 6 (25 enodes) 322.088 * * [simplify]: iters left: 5 (109 enodes) 322.134 * * [simplify]: iters left: 4 (311 enodes) 322.466 * * [simplify]: Extracting #0: cost 1 inf + 0 322.466 * * [simplify]: Extracting #1: cost 130 inf + 0 322.470 * * [simplify]: Extracting #2: cost 703 inf + 124 322.477 * * [simplify]: Extracting #3: cost 822 inf + 1471 322.483 * * [simplify]: Extracting #4: cost 812 inf + 2748 322.493 * * [simplify]: Extracting #5: cost 738 inf + 21363 322.554 * * [simplify]: Extracting #6: cost 266 inf + 207869 322.630 * * [simplify]: Extracting #7: cost 29 inf + 311229 322.726 * * [simplify]: Extracting #8: cost 0 inf + 324610 322.855 * * [simplify]: Extracting #9: cost 0 inf + 324279 322.926 * [simplify]: Simplified to (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1))) 322.926 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 322.927 * * * * [progress]: [ 433 / 4148 ] simplifiying candidate # 322.927 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (* 1 1) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 322.927 * * [simplify]: iters left: 6 (25 enodes) 322.942 * * [simplify]: iters left: 5 (113 enodes) 322.995 * * [simplify]: iters left: 4 (345 enodes) 323.299 * * [simplify]: Extracting #0: cost 1 inf + 0 323.299 * * [simplify]: Extracting #1: cost 172 inf + 0 323.301 * * [simplify]: Extracting #2: cost 775 inf + 2 323.305 * * [simplify]: Extracting #3: cost 930 inf + 300 323.309 * * [simplify]: Extracting #4: cost 921 inf + 1186 323.319 * * [simplify]: Extracting #5: cost 843 inf + 20683 323.372 * * [simplify]: Extracting #6: cost 310 inf + 250588 323.489 * * [simplify]: Extracting #7: cost 9 inf + 381748 323.596 * * [simplify]: Extracting #8: cost 0 inf + 380266 323.709 * * [simplify]: Extracting #9: cost 0 inf + 380146 323.862 * [simplify]: Simplified to (/ (/ (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1))) 323.862 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (/ (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (sqrt 2)) (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt 2)) a1) (* a1 a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 323.863 * * * * [progress]: [ 434 / 4148 ] simplifiying candidate # 323.863 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 323.863 * * [simplify]: iters left: 6 (23 enodes) 323.876 * * [simplify]: iters left: 5 (104 enodes) 323.925 * * [simplify]: iters left: 4 (336 enodes) 324.350 * * [simplify]: Extracting #0: cost 1 inf + 0 324.350 * * [simplify]: Extracting #1: cost 170 inf + 0 324.355 * * [simplify]: Extracting #2: cost 833 inf + 124 324.363 * * [simplify]: Extracting #3: cost 925 inf + 1090 324.371 * * [simplify]: Extracting #4: cost 911 inf + 2775 324.383 * * [simplify]: Extracting #5: cost 849 inf + 22824 324.429 * * [simplify]: Extracting #6: cost 276 inf + 305463 324.613 * * [simplify]: Extracting #7: cost 0 inf + 435733 324.722 * * [simplify]: Extracting #8: cost 0 inf + 431238 324.902 * * [simplify]: Extracting #9: cost 0 inf + 431038 325.037 * [simplify]: Simplified to (* a1 (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))))) 325.037 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* a1 (/ (* (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (/ (/ (/ (cbrt (sqrt 2)) a1) a1) (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 325.037 * * * * [progress]: [ 435 / 4148 ] simplifiying candidate # 325.037 * [simplify]: Simplifying (/ (/ (* (* (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 325.038 * * [simplify]: iters left: 6 (23 enodes) 325.050 * * [simplify]: iters left: 5 (108 enodes) 325.080 * * [simplify]: iters left: 4 (359 enodes) 325.508 * * [simplify]: Extracting #0: cost 1 inf + 0 325.508 * * [simplify]: Extracting #1: cost 178 inf + 0 325.513 * * [simplify]: Extracting #2: cost 884 inf + 2 325.522 * * [simplify]: Extracting #3: cost 1013 inf + 86 325.530 * * [simplify]: Extracting #4: cost 1007 inf + 1190 325.540 * * [simplify]: Extracting #5: cost 993 inf + 2774 325.553 * * [simplify]: Extracting #6: cost 924 inf + 27317 325.654 * * [simplify]: Extracting #7: cost 302 inf + 326359 325.799 * * [simplify]: Extracting #8: cost 1 inf + 480123 325.998 * * [simplify]: Extracting #9: cost 0 inf + 473951 326.174 * * [simplify]: Extracting #10: cost 0 inf + 473351 326.308 * [simplify]: Simplified to (* (* (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 326.308 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 326.308 * * * * [progress]: [ 436 / 4148 ] simplifiying candidate # 326.309 * [simplify]: Simplifying (/ (* (* (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 326.309 * * [simplify]: iters left: 6 (21 enodes) 326.315 * * [simplify]: iters left: 5 (88 enodes) 326.335 * * [simplify]: iters left: 4 (266 enodes) 326.565 * * [simplify]: Extracting #0: cost 1 inf + 0 326.565 * * [simplify]: Extracting #1: cost 129 inf + 0 326.568 * * [simplify]: Extracting #2: cost 619 inf + 2 326.573 * * [simplify]: Extracting #3: cost 632 inf + 1672 326.598 * * [simplify]: Extracting #4: cost 424 inf + 89479 326.654 * * [simplify]: Extracting #5: cost 25 inf + 286361 326.716 * * [simplify]: Extracting #6: cost 0 inf + 294406 326.779 * * [simplify]: Extracting #7: cost 0 inf + 293406 326.849 * [simplify]: Simplified to (/ (* (* (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1))) 326.849 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt 2)) (* (* a1 a1) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 326.849 * * * * [progress]: [ 437 / 4148 ] simplifiying candidate # 326.849 * [simplify]: Simplifying (/ (* (* (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (* (/ (cbrt (cbrt (sqrt 2))) a1) (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1))) 326.850 * * [simplify]: iters left: 6 (21 enodes) 326.862 * * [simplify]: iters left: 5 (95 enodes) 326.905 * * [simplify]: iters left: 4 (311 enodes) 327.177 * * [simplify]: Extracting #0: cost 1 inf + 0 327.178 * * [simplify]: Extracting #1: cost 135 inf + 0 327.181 * * [simplify]: Extracting #2: cost 672 inf + 3 327.188 * * [simplify]: Extracting #3: cost 789 inf + 298 327.194 * * [simplify]: Extracting #4: cost 778 inf + 1499 327.207 * * [simplify]: Extracting #5: cost 772 inf + 2309 327.215 * * [simplify]: Extracting #6: cost 715 inf + 18412 327.247 * * [simplify]: Extracting #7: cost 290 inf + 224319 327.359 * * [simplify]: Extracting #8: cost 7 inf + 375504 327.470 * * [simplify]: Extracting #9: cost 0 inf + 373185 327.596 * * [simplify]: Extracting #10: cost 0 inf + 372985 327.705 * [simplify]: Simplified to (* (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) 327.705 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (/ a1 (/ (cbrt (cbrt (sqrt 2))) a1)) (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 327.706 * * * * [progress]: [ 438 / 4148 ] simplifiying candidate # 327.706 * * * * [progress]: [ 439 / 4148 ] simplifiying candidate # 327.706 * * * * [progress]: [ 440 / 4148 ] simplifiying candidate # 327.706 * * * * [progress]: [ 441 / 4148 ] simplifiying candidate # 327.706 * * * * [progress]: [ 442 / 4148 ] simplifiying candidate # 327.706 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 327.706 * * [simplify]: iters left: 6 (21 enodes) 327.712 * * [simplify]: iters left: 5 (80 enodes) 327.739 * * [simplify]: iters left: 4 (160 enodes) 327.805 * * [simplify]: iters left: 3 (403 enodes) 328.061 * * [simplify]: Extracting #0: cost 1 inf + 0 328.061 * * [simplify]: Extracting #1: cost 11 inf + 0 328.061 * * [simplify]: Extracting #2: cost 22 inf + 0 328.061 * * [simplify]: Extracting #3: cost 117 inf + 0 328.063 * * [simplify]: Extracting #4: cost 240 inf + 2 328.065 * * [simplify]: Extracting #5: cost 241 inf + 269 328.067 * * [simplify]: Extracting #6: cost 191 inf + 14034 328.079 * * [simplify]: Extracting #7: cost 39 inf + 65511 328.095 * * [simplify]: Extracting #8: cost 1 inf + 82232 328.124 * * [simplify]: Extracting #9: cost 0 inf + 82855 328.156 * [simplify]: Simplified to (* (/ (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 328.156 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 328.157 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 328.157 * * [simplify]: iters left: 6 (19 enodes) 328.167 * * [simplify]: iters left: 5 (68 enodes) 328.195 * * [simplify]: iters left: 4 (133 enodes) 328.239 * * [simplify]: iters left: 3 (370 enodes) 328.460 * * [simplify]: Extracting #0: cost 1 inf + 0 328.460 * * [simplify]: Extracting #1: cost 4 inf + 0 328.461 * * [simplify]: Extracting #2: cost 8 inf + 0 328.461 * * [simplify]: Extracting #3: cost 107 inf + 0 328.462 * * [simplify]: Extracting #4: cost 234 inf + 2 328.464 * * [simplify]: Extracting #5: cost 233 inf + 371 328.468 * * [simplify]: Extracting #6: cost 197 inf + 9320 328.487 * * [simplify]: Extracting #7: cost 38 inf + 63038 328.502 * * [simplify]: Extracting #8: cost 0 inf + 76214 328.517 * * [simplify]: Extracting #9: cost 0 inf + 76053 328.534 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 328.534 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 328.535 * * * * [progress]: [ 443 / 4148 ] simplifiying candidate # 328.535 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 328.536 * * [simplify]: iters left: 6 (20 enodes) 328.541 * * [simplify]: iters left: 5 (73 enodes) 328.555 * * [simplify]: iters left: 4 (142 enodes) 328.599 * * [simplify]: iters left: 3 (381 enodes) 328.782 * * [simplify]: Extracting #0: cost 1 inf + 0 328.782 * * [simplify]: Extracting #1: cost 7 inf + 0 328.782 * * [simplify]: Extracting #2: cost 14 inf + 0 328.782 * * [simplify]: Extracting #3: cost 107 inf + 0 328.784 * * [simplify]: Extracting #4: cost 230 inf + 2 328.786 * * [simplify]: Extracting #5: cost 230 inf + 371 328.790 * * [simplify]: Extracting #6: cost 184 inf + 12260 328.813 * * [simplify]: Extracting #7: cost 25 inf + 66681 328.840 * * [simplify]: Extracting #8: cost 0 inf + 76868 328.854 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 328.855 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 328.855 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 328.855 * * [simplify]: iters left: 6 (19 enodes) 328.860 * * [simplify]: iters left: 5 (68 enodes) 328.878 * * [simplify]: iters left: 4 (133 enodes) 328.915 * * [simplify]: iters left: 3 (370 enodes) 329.075 * * [simplify]: Extracting #0: cost 1 inf + 0 329.075 * * [simplify]: Extracting #1: cost 4 inf + 0 329.076 * * [simplify]: Extracting #2: cost 8 inf + 0 329.076 * * [simplify]: Extracting #3: cost 107 inf + 0 329.077 * * [simplify]: Extracting #4: cost 234 inf + 2 329.078 * * [simplify]: Extracting #5: cost 233 inf + 371 329.079 * * [simplify]: Extracting #6: cost 197 inf + 9280 329.090 * * [simplify]: Extracting #7: cost 38 inf + 62918 329.118 * * [simplify]: Extracting #8: cost 0 inf + 76054 329.148 * * [simplify]: Extracting #9: cost 0 inf + 75893 329.165 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 329.165 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 329.166 * * * * [progress]: [ 444 / 4148 ] simplifiying candidate # 329.166 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 329.166 * * [simplify]: iters left: 6 (23 enodes) 329.172 * * [simplify]: iters left: 5 (86 enodes) 329.188 * * [simplify]: iters left: 4 (172 enodes) 329.228 * * [simplify]: iters left: 3 (449 enodes) 329.459 * * [simplify]: Extracting #0: cost 1 inf + 0 329.459 * * [simplify]: Extracting #1: cost 24 inf + 0 329.459 * * [simplify]: Extracting #2: cost 49 inf + 0 329.460 * * [simplify]: Extracting #3: cost 139 inf + 405 329.462 * * [simplify]: Extracting #4: cost 264 inf + 406 329.465 * * [simplify]: Extracting #5: cost 265 inf + 714 329.467 * * [simplify]: Extracting #6: cost 261 inf + 858 329.471 * * [simplify]: Extracting #7: cost 224 inf + 10847 329.491 * * [simplify]: Extracting #8: cost 58 inf + 67780 329.527 * * [simplify]: Extracting #9: cost 3 inf + 99853 329.567 * * [simplify]: Extracting #10: cost 0 inf + 101962 329.586 * * [simplify]: Extracting #11: cost 0 inf + 101922 329.606 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 329.606 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 329.606 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 329.607 * * [simplify]: iters left: 6 (20 enodes) 329.612 * * [simplify]: iters left: 5 (73 enodes) 329.638 * * [simplify]: iters left: 4 (143 enodes) 329.688 * * [simplify]: iters left: 3 (384 enodes) 329.889 * * [simplify]: Extracting #0: cost 1 inf + 0 329.889 * * [simplify]: Extracting #1: cost 8 inf + 0 329.889 * * [simplify]: Extracting #2: cost 17 inf + 0 329.889 * * [simplify]: Extracting #3: cost 111 inf + 1 329.891 * * [simplify]: Extracting #4: cost 237 inf + 164 329.893 * * [simplify]: Extracting #5: cost 239 inf + 431 329.898 * * [simplify]: Extracting #6: cost 185 inf + 15757 329.911 * * [simplify]: Extracting #7: cost 22 inf + 71606 329.927 * * [simplify]: Extracting #8: cost 0 inf + 79563 329.951 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 329.951 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 329.952 * * * * [progress]: [ 445 / 4148 ] simplifiying candidate # 329.952 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 329.953 * * [simplify]: iters left: 6 (22 enodes) 329.963 * * [simplify]: iters left: 5 (81 enodes) 329.978 * * [simplify]: iters left: 4 (159 enodes) 330.015 * * [simplify]: iters left: 3 (416 enodes) 330.267 * * [simplify]: Extracting #0: cost 1 inf + 0 330.267 * * [simplify]: Extracting #1: cost 16 inf + 0 330.267 * * [simplify]: Extracting #2: cost 31 inf + 0 330.268 * * [simplify]: Extracting #3: cost 123 inf + 83 330.270 * * [simplify]: Extracting #4: cost 246 inf + 84 330.272 * * [simplify]: Extracting #5: cost 247 inf + 392 330.277 * * [simplify]: Extracting #6: cost 187 inf + 18376 330.304 * * [simplify]: Extracting #7: cost 18 inf + 81460 330.323 * * [simplify]: Extracting #8: cost 0 inf + 88230 330.341 * * [simplify]: Extracting #9: cost 0 inf + 88190 330.378 * [simplify]: Simplified to (/ (* (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 330.378 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 330.379 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 330.379 * * [simplify]: iters left: 6 (20 enodes) 330.388 * * [simplify]: iters left: 5 (73 enodes) 330.401 * * [simplify]: iters left: 4 (143 enodes) 330.433 * * [simplify]: iters left: 3 (384 enodes) 330.627 * * [simplify]: Extracting #0: cost 1 inf + 0 330.627 * * [simplify]: Extracting #1: cost 8 inf + 0 330.627 * * [simplify]: Extracting #2: cost 17 inf + 0 330.627 * * [simplify]: Extracting #3: cost 111 inf + 1 330.628 * * [simplify]: Extracting #4: cost 237 inf + 84 330.629 * * [simplify]: Extracting #5: cost 239 inf + 351 330.632 * * [simplify]: Extracting #6: cost 185 inf + 15597 330.649 * * [simplify]: Extracting #7: cost 22 inf + 71326 330.669 * * [simplify]: Extracting #8: cost 0 inf + 79243 330.685 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 330.685 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 330.685 * * * * [progress]: [ 446 / 4148 ] simplifiying candidate # 330.686 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 330.686 * * [simplify]: iters left: 6 (21 enodes) 330.692 * * [simplify]: iters left: 5 (76 enodes) 330.706 * * [simplify]: iters left: 4 (147 enodes) 330.740 * * [simplify]: iters left: 3 (394 enodes) 330.919 * * [simplify]: Extracting #0: cost 1 inf + 0 330.919 * * [simplify]: Extracting #1: cost 8 inf + 0 330.919 * * [simplify]: Extracting #2: cost 14 inf + 1 330.920 * * [simplify]: Extracting #3: cost 110 inf + 1 330.921 * * [simplify]: Extracting #4: cost 237 inf + 2 330.923 * * [simplify]: Extracting #5: cost 239 inf + 310 330.925 * * [simplify]: Extracting #6: cost 198 inf + 10245 330.939 * * [simplify]: Extracting #7: cost 29 inf + 67481 330.959 * * [simplify]: Extracting #8: cost 0 inf + 80221 330.980 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 330.980 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 330.980 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 330.980 * * [simplify]: iters left: 6 (19 enodes) 330.986 * * [simplify]: iters left: 5 (70 enodes) 331.000 * * [simplify]: iters left: 4 (140 enodes) 331.051 * * [simplify]: iters left: 3 (382 enodes) 331.289 * * [simplify]: Extracting #0: cost 1 inf + 0 331.289 * * [simplify]: Extracting #1: cost 8 inf + 0 331.289 * * [simplify]: Extracting #2: cost 14 inf + 1 331.289 * * [simplify]: Extracting #3: cost 107 inf + 1 331.290 * * [simplify]: Extracting #4: cost 229 inf + 2 331.291 * * [simplify]: Extracting #5: cost 229 inf + 371 331.293 * * [simplify]: Extracting #6: cost 185 inf + 12335 331.303 * * [simplify]: Extracting #7: cost 39 inf + 60817 331.323 * * [simplify]: Extracting #8: cost 0 inf + 76081 331.353 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 331.353 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 331.353 * * * * [progress]: [ 447 / 4148 ] simplifiying candidate # 331.354 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 331.354 * * [simplify]: iters left: 6 (26 enodes) 331.367 * * [simplify]: iters left: 5 (96 enodes) 331.401 * * [simplify]: iters left: 4 (182 enodes) 331.449 * * [simplify]: iters left: 3 (459 enodes) 331.704 * * [simplify]: Extracting #0: cost 1 inf + 0 331.704 * * [simplify]: Extracting #1: cost 24 inf + 0 331.704 * * [simplify]: Extracting #2: cost 49 inf + 0 331.705 * * [simplify]: Extracting #3: cost 142 inf + 82 331.707 * * [simplify]: Extracting #4: cost 270 inf + 285 331.710 * * [simplify]: Extracting #5: cost 271 inf + 775 331.714 * * [simplify]: Extracting #6: cost 224 inf + 12743 331.723 * * [simplify]: Extracting #7: cost 81 inf + 60216 331.745 * * [simplify]: Extracting #8: cost 9 inf + 98025 331.779 * * [simplify]: Extracting #9: cost 0 inf + 104633 331.799 * * [simplify]: Extracting #10: cost 0 inf + 104353 331.835 * [simplify]: Simplified to (/ (* (cbrt a1) (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) 331.835 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt a1) (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (* (cbrt a1) (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 331.835 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 331.836 * * [simplify]: iters left: 6 (23 enodes) 331.847 * * [simplify]: iters left: 5 (82 enodes) 331.876 * * [simplify]: iters left: 4 (152 enodes) 331.916 * * [simplify]: iters left: 3 (394 enodes) 332.110 * * [simplify]: Extracting #0: cost 1 inf + 0 332.110 * * [simplify]: Extracting #1: cost 8 inf + 0 332.110 * * [simplify]: Extracting #2: cost 17 inf + 0 332.111 * * [simplify]: Extracting #3: cost 110 inf + 163 332.112 * * [simplify]: Extracting #4: cost 240 inf + 164 332.113 * * [simplify]: Extracting #5: cost 243 inf + 431 332.115 * * [simplify]: Extracting #6: cost 207 inf + 8317 332.132 * * [simplify]: Extracting #7: cost 44 inf + 62935 332.163 * * [simplify]: Extracting #8: cost 6 inf + 76848 332.193 * * [simplify]: Extracting #9: cost 1 inf + 79760 332.228 * * [simplify]: Extracting #10: cost 0 inf + 80543 332.259 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 332.259 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 332.259 * * * * [progress]: [ 448 / 4148 ] simplifiying candidate # 332.260 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 332.260 * * [simplify]: iters left: 6 (25 enodes) 332.273 * * [simplify]: iters left: 5 (91 enodes) 332.305 * * [simplify]: iters left: 4 (169 enodes) 332.354 * * [simplify]: iters left: 3 (426 enodes) 332.559 * * [simplify]: Extracting #0: cost 1 inf + 0 332.559 * * [simplify]: Extracting #1: cost 16 inf + 0 332.559 * * [simplify]: Extracting #2: cost 31 inf + 0 332.560 * * [simplify]: Extracting #3: cost 124 inf + 83 332.561 * * [simplify]: Extracting #4: cost 256 inf + 84 332.567 * * [simplify]: Extracting #5: cost 259 inf + 453 332.569 * * [simplify]: Extracting #6: cost 215 inf + 11608 332.580 * * [simplify]: Extracting #7: cost 48 inf + 67479 332.597 * * [simplify]: Extracting #8: cost 1 inf + 91267 332.628 * * [simplify]: Extracting #9: cost 0 inf + 91850 332.645 * [simplify]: Simplified to (/ (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (cbrt (cbrt (fabs (cbrt 2))))) 332.645 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 332.645 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 332.646 * * [simplify]: iters left: 6 (23 enodes) 332.652 * * [simplify]: iters left: 5 (82 enodes) 332.668 * * [simplify]: iters left: 4 (152 enodes) 332.701 * * [simplify]: iters left: 3 (394 enodes) 332.907 * * [simplify]: Extracting #0: cost 1 inf + 0 332.907 * * [simplify]: Extracting #1: cost 8 inf + 0 332.907 * * [simplify]: Extracting #2: cost 17 inf + 0 332.907 * * [simplify]: Extracting #3: cost 110 inf + 83 332.908 * * [simplify]: Extracting #4: cost 240 inf + 84 332.910 * * [simplify]: Extracting #5: cost 243 inf + 351 332.911 * * [simplify]: Extracting #6: cost 207 inf + 8237 332.922 * * [simplify]: Extracting #7: cost 44 inf + 62855 332.942 * * [simplify]: Extracting #8: cost 6 inf + 76648 332.958 * * [simplify]: Extracting #9: cost 1 inf + 79440 332.976 * * [simplify]: Extracting #10: cost 0 inf + 80223 332.991 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 332.991 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 332.991 * * * * [progress]: [ 449 / 4148 ] simplifiying candidate # 332.991 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 332.992 * * [simplify]: iters left: 6 (24 enodes) 333.002 * * [simplify]: iters left: 5 (86 enodes) 333.033 * * [simplify]: iters left: 4 (157 enodes) 333.079 * * [simplify]: iters left: 3 (403 enodes) 333.341 * * [simplify]: Extracting #0: cost 1 inf + 0 333.342 * * [simplify]: Extracting #1: cost 8 inf + 0 333.342 * * [simplify]: Extracting #2: cost 14 inf + 1 333.342 * * [simplify]: Extracting #3: cost 112 inf + 1 333.344 * * [simplify]: Extracting #4: cost 242 inf + 2 333.346 * * [simplify]: Extracting #5: cost 245 inf + 269 333.350 * * [simplify]: Extracting #6: cost 200 inf + 12073 333.371 * * [simplify]: Extracting #7: cost 47 inf + 63992 333.403 * * [simplify]: Extracting #8: cost 0 inf + 80786 333.434 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) 333.435 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 333.435 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 333.435 * * [simplify]: iters left: 6 (22 enodes) 333.446 * * [simplify]: iters left: 5 (79 enodes) 333.461 * * [simplify]: iters left: 4 (149 enodes) 333.509 * * [simplify]: iters left: 3 (390 enodes) 333.744 * * [simplify]: Extracting #0: cost 1 inf + 0 333.744 * * [simplify]: Extracting #1: cost 8 inf + 0 333.744 * * [simplify]: Extracting #2: cost 14 inf + 1 333.744 * * [simplify]: Extracting #3: cost 109 inf + 1 333.745 * * [simplify]: Extracting #4: cost 236 inf + 2 333.746 * * [simplify]: Extracting #5: cost 238 inf + 269 333.749 * * [simplify]: Extracting #6: cost 190 inf + 12725 333.761 * * [simplify]: Extracting #7: cost 33 inf + 65547 333.785 * * [simplify]: Extracting #8: cost 0 inf + 78255 333.815 * * [simplify]: Extracting #9: cost 0 inf + 78215 333.845 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 333.845 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 333.845 * * * * [progress]: [ 450 / 4148 ] simplifiying candidate # 333.849 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 333.849 * * [simplify]: iters left: 6 (24 enodes) 333.861 * * [simplify]: iters left: 5 (89 enodes) 333.882 * * [simplify]: iters left: 4 (175 enodes) 333.931 * * [simplify]: iters left: 3 (451 enodes) 334.147 * * [simplify]: Extracting #0: cost 1 inf + 0 334.147 * * [simplify]: Extracting #1: cost 24 inf + 0 334.147 * * [simplify]: Extracting #2: cost 49 inf + 0 334.147 * * [simplify]: Extracting #3: cost 141 inf + 82 334.148 * * [simplify]: Extracting #4: cost 264 inf + 285 334.150 * * [simplify]: Extracting #5: cost 264 inf + 673 334.152 * * [simplify]: Extracting #6: cost 201 inf + 18922 334.167 * * [simplify]: Extracting #7: cost 53 inf + 72175 334.191 * * [simplify]: Extracting #8: cost 4 inf + 97683 334.213 * * [simplify]: Extracting #9: cost 0 inf + 100217 334.240 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 334.240 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 334.241 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 334.241 * * [simplify]: iters left: 6 (22 enodes) 334.252 * * [simplify]: iters left: 5 (79 enodes) 334.271 * * [simplify]: iters left: 4 (149 enodes) 334.316 * * [simplify]: iters left: 3 (390 enodes) 334.502 * * [simplify]: Extracting #0: cost 1 inf + 0 334.502 * * [simplify]: Extracting #1: cost 8 inf + 0 334.502 * * [simplify]: Extracting #2: cost 17 inf + 0 334.503 * * [simplify]: Extracting #3: cost 109 inf + 163 334.504 * * [simplify]: Extracting #4: cost 235 inf + 164 334.505 * * [simplify]: Extracting #5: cost 236 inf + 431 334.507 * * [simplify]: Extracting #6: cost 190 inf + 12383 334.518 * * [simplify]: Extracting #7: cost 31 inf + 66011 334.536 * * [simplify]: Extracting #8: cost 0 inf + 78095 334.562 * * [simplify]: Extracting #9: cost 0 inf + 78055 334.580 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 334.580 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 334.580 * * * * [progress]: [ 451 / 4148 ] simplifiying candidate # 334.580 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 334.581 * * [simplify]: iters left: 6 (23 enodes) 334.586 * * [simplify]: iters left: 5 (84 enodes) 334.602 * * [simplify]: iters left: 4 (162 enodes) 334.636 * * [simplify]: iters left: 3 (419 enodes) 334.871 * * [simplify]: Extracting #0: cost 1 inf + 0 334.871 * * [simplify]: Extracting #1: cost 16 inf + 0 334.871 * * [simplify]: Extracting #2: cost 31 inf + 0 334.872 * * [simplify]: Extracting #3: cost 130 inf + 42 334.873 * * [simplify]: Extracting #4: cost 260 inf + 84 334.874 * * [simplify]: Extracting #5: cost 260 inf + 392 334.876 * * [simplify]: Extracting #6: cost 232 inf + 6443 334.893 * * [simplify]: Extracting #7: cost 72 inf + 60056 334.918 * * [simplify]: Extracting #8: cost 1 inf + 90999 334.936 * * [simplify]: Extracting #9: cost 0 inf + 91582 334.965 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 334.965 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 334.965 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 334.966 * * [simplify]: iters left: 6 (22 enodes) 334.971 * * [simplify]: iters left: 5 (79 enodes) 334.986 * * [simplify]: iters left: 4 (149 enodes) 335.033 * * [simplify]: iters left: 3 (390 enodes) 335.255 * * [simplify]: Extracting #0: cost 1 inf + 0 335.255 * * [simplify]: Extracting #1: cost 8 inf + 0 335.255 * * [simplify]: Extracting #2: cost 17 inf + 0 335.255 * * [simplify]: Extracting #3: cost 109 inf + 83 335.256 * * [simplify]: Extracting #4: cost 235 inf + 84 335.257 * * [simplify]: Extracting #5: cost 236 inf + 351 335.260 * * [simplify]: Extracting #6: cost 190 inf + 12263 335.271 * * [simplify]: Extracting #7: cost 31 inf + 65771 335.299 * * [simplify]: Extracting #8: cost 0 inf + 77775 335.319 * * [simplify]: Extracting #9: cost 0 inf + 77735 335.336 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 335.336 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 335.337 * * * * [progress]: [ 452 / 4148 ] simplifiying candidate # 335.337 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 335.337 * * [simplify]: iters left: 6 (22 enodes) 335.343 * * [simplify]: iters left: 5 (79 enodes) 335.361 * * [simplify]: iters left: 4 (150 enodes) 335.398 * * [simplify]: iters left: 3 (396 enodes) 335.631 * * [simplify]: Extracting #0: cost 1 inf + 0 335.631 * * [simplify]: Extracting #1: cost 8 inf + 0 335.631 * * [simplify]: Extracting #2: cost 14 inf + 1 335.631 * * [simplify]: Extracting #3: cost 111 inf + 1 335.633 * * [simplify]: Extracting #4: cost 241 inf + 2 335.635 * * [simplify]: Extracting #5: cost 243 inf + 269 335.639 * * [simplify]: Extracting #6: cost 193 inf + 13246 335.662 * * [simplify]: Extracting #7: cost 28 inf + 69801 335.683 * * [simplify]: Extracting #8: cost 0 inf + 80871 335.711 * * [simplify]: Extracting #9: cost 0 inf + 80671 335.740 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 335.740 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 335.741 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 335.741 * * [simplify]: iters left: 6 (21 enodes) 335.746 * * [simplify]: iters left: 5 (76 enodes) 335.760 * * [simplify]: iters left: 4 (146 enodes) 335.813 * * [simplify]: iters left: 3 (387 enodes) 336.090 * * [simplify]: Extracting #0: cost 1 inf + 0 336.090 * * [simplify]: Extracting #1: cost 8 inf + 0 336.090 * * [simplify]: Extracting #2: cost 14 inf + 1 336.090 * * [simplify]: Extracting #3: cost 109 inf + 1 336.096 * * [simplify]: Extracting #4: cost 233 inf + 2 336.098 * * [simplify]: Extracting #5: cost 234 inf + 269 336.103 * * [simplify]: Extracting #6: cost 181 inf + 14267 336.115 * * [simplify]: Extracting #7: cost 36 inf + 62369 336.131 * * [simplify]: Extracting #8: cost 1 inf + 76262 336.154 * * [simplify]: Extracting #9: cost 0 inf + 76805 336.184 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 336.184 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 336.184 * * * * [progress]: [ 453 / 4148 ] simplifiying candidate # 336.185 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 336.185 * * [simplify]: iters left: 6 (24 enodes) 336.198 * * [simplify]: iters left: 5 (89 enodes) 336.238 * * [simplify]: iters left: 4 (175 enodes) 336.310 * * [simplify]: iters left: 3 (454 enodes) 336.576 * * [simplify]: Extracting #0: cost 1 inf + 0 336.576 * * [simplify]: Extracting #1: cost 24 inf + 0 336.577 * * [simplify]: Extracting #2: cost 43 inf + 1 336.577 * * [simplify]: Extracting #3: cost 134 inf + 83 336.578 * * [simplify]: Extracting #4: cost 255 inf + 691 336.580 * * [simplify]: Extracting #5: cost 250 inf + 1909 336.582 * * [simplify]: Extracting #6: cost 207 inf + 13310 336.592 * * [simplify]: Extracting #7: cost 53 inf + 65764 337.088 * * [simplify]: Extracting #8: cost 5 inf + 88409 337.121 * * [simplify]: Extracting #9: cost 0 inf + 91608 337.153 * [simplify]: Simplified to (* (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) 337.153 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 337.154 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 337.154 * * [simplify]: iters left: 6 (19 enodes) 337.163 * * [simplify]: iters left: 5 (70 enodes) 337.186 * * [simplify]: iters left: 4 (140 enodes) 337.237 * * [simplify]: iters left: 3 (382 enodes) 337.444 * * [simplify]: Extracting #0: cost 1 inf + 0 337.444 * * [simplify]: Extracting #1: cost 8 inf + 0 337.444 * * [simplify]: Extracting #2: cost 19 inf + 0 337.444 * * [simplify]: Extracting #3: cost 107 inf + 164 337.445 * * [simplify]: Extracting #4: cost 229 inf + 286 337.447 * * [simplify]: Extracting #5: cost 189 inf + 10486 337.457 * * [simplify]: Extracting #6: cost 42 inf + 58810 337.482 * * [simplify]: Extracting #7: cost 0 inf + 75803 337.512 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 337.512 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 337.512 * * * * [progress]: [ 454 / 4148 ] simplifiying candidate # 337.513 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 337.513 * * [simplify]: iters left: 6 (23 enodes) 337.525 * * [simplify]: iters left: 5 (84 enodes) 337.548 * * [simplify]: iters left: 4 (162 enodes) 337.602 * * [simplify]: iters left: 3 (419 enodes) 337.828 * * [simplify]: Extracting #0: cost 1 inf + 0 337.828 * * [simplify]: Extracting #1: cost 17 inf + 0 337.828 * * [simplify]: Extracting #2: cost 27 inf + 1 337.828 * * [simplify]: Extracting #3: cost 119 inf + 43 337.829 * * [simplify]: Extracting #4: cost 246 inf + 166 337.831 * * [simplify]: Extracting #5: cost 245 inf + 800 337.832 * * [simplify]: Extracting #6: cost 217 inf + 7314 337.842 * * [simplify]: Extracting #7: cost 66 inf + 56345 337.874 * * [simplify]: Extracting #8: cost 4 inf + 81892 337.908 * * [simplify]: Extracting #9: cost 0 inf + 84346 337.946 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) 337.946 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 337.946 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 337.946 * * [simplify]: iters left: 6 (19 enodes) 337.952 * * [simplify]: iters left: 5 (70 enodes) 337.965 * * [simplify]: iters left: 4 (140 enodes) 338.013 * * [simplify]: iters left: 3 (382 enodes) 338.237 * * [simplify]: Extracting #0: cost 1 inf + 0 338.237 * * [simplify]: Extracting #1: cost 8 inf + 0 338.237 * * [simplify]: Extracting #2: cost 19 inf + 0 338.238 * * [simplify]: Extracting #3: cost 107 inf + 84 338.240 * * [simplify]: Extracting #4: cost 229 inf + 166 338.243 * * [simplify]: Extracting #5: cost 189 inf + 10326 338.263 * * [simplify]: Extracting #6: cost 42 inf + 58530 338.284 * * [simplify]: Extracting #7: cost 0 inf + 75443 338.301 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 338.301 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 338.301 * * * * [progress]: [ 455 / 4148 ] simplifiying candidate # 338.302 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) 1)) 338.302 * * [simplify]: iters left: 6 (22 enodes) 338.310 * * [simplify]: iters left: 5 (79 enodes) 338.328 * * [simplify]: iters left: 4 (150 enodes) 338.372 * * [simplify]: iters left: 3 (392 enodes) 338.591 * * [simplify]: Extracting #0: cost 1 inf + 0 338.591 * * [simplify]: Extracting #1: cost 9 inf + 0 338.591 * * [simplify]: Extracting #2: cost 11 inf + 1 338.592 * * [simplify]: Extracting #3: cost 106 inf + 1 338.593 * * [simplify]: Extracting #4: cost 236 inf + 2 338.596 * * [simplify]: Extracting #5: cost 237 inf + 371 338.605 * * [simplify]: Extracting #6: cost 198 inf + 11070 338.623 * * [simplify]: Extracting #7: cost 26 inf + 68965 338.639 * * [simplify]: Extracting #8: cost 0 inf + 78935 338.655 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) 338.655 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 338.656 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 338.656 * * [simplify]: iters left: 6 (18 enodes) 338.661 * * [simplify]: iters left: 5 (67 enodes) 338.673 * * [simplify]: iters left: 4 (137 enodes) 338.707 * * [simplify]: iters left: 3 (378 enodes) 338.952 * * [simplify]: Extracting #0: cost 1 inf + 0 338.952 * * [simplify]: Extracting #1: cost 8 inf + 0 338.952 * * [simplify]: Extracting #2: cost 15 inf + 1 338.953 * * [simplify]: Extracting #3: cost 104 inf + 2 338.954 * * [simplify]: Extracting #4: cost 230 inf + 2 338.960 * * [simplify]: Extracting #5: cost 167 inf + 17341 338.972 * * [simplify]: Extracting #6: cost 34 inf + 62639 338.986 * * [simplify]: Extracting #7: cost 1 inf + 75043 339.013 * * [simplify]: Extracting #8: cost 0 inf + 75306 339.043 * * [simplify]: Extracting #9: cost 0 inf + 75266 339.064 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 339.064 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 339.064 * * * * [progress]: [ 456 / 4148 ] simplifiying candidate # 339.064 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 339.065 * * [simplify]: iters left: 6 (24 enodes) 339.071 * * [simplify]: iters left: 5 (89 enodes) 339.095 * * [simplify]: iters left: 4 (175 enodes) 339.142 * * [simplify]: iters left: 3 (451 enodes) 339.365 * * [simplify]: Extracting #0: cost 1 inf + 0 339.365 * * [simplify]: Extracting #1: cost 24 inf + 0 339.365 * * [simplify]: Extracting #2: cost 49 inf + 0 339.366 * * [simplify]: Extracting #3: cost 141 inf + 82 339.368 * * [simplify]: Extracting #4: cost 264 inf + 285 339.370 * * [simplify]: Extracting #5: cost 264 inf + 673 339.375 * * [simplify]: Extracting #6: cost 201 inf + 18922 339.391 * * [simplify]: Extracting #7: cost 53 inf + 72175 339.413 * * [simplify]: Extracting #8: cost 4 inf + 97683 339.453 * * [simplify]: Extracting #9: cost 0 inf + 100217 339.485 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 339.485 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 339.485 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 339.485 * * [simplify]: iters left: 6 (22 enodes) 339.491 * * [simplify]: iters left: 5 (79 enodes) 339.507 * * [simplify]: iters left: 4 (149 enodes) 339.564 * * [simplify]: iters left: 3 (390 enodes) 339.809 * * [simplify]: Extracting #0: cost 1 inf + 0 339.810 * * [simplify]: Extracting #1: cost 8 inf + 0 339.810 * * [simplify]: Extracting #2: cost 17 inf + 0 339.810 * * [simplify]: Extracting #3: cost 109 inf + 163 339.812 * * [simplify]: Extracting #4: cost 235 inf + 164 339.815 * * [simplify]: Extracting #5: cost 236 inf + 431 339.819 * * [simplify]: Extracting #6: cost 190 inf + 12383 339.831 * * [simplify]: Extracting #7: cost 31 inf + 66011 339.846 * * [simplify]: Extracting #8: cost 0 inf + 78095 339.869 * * [simplify]: Extracting #9: cost 0 inf + 78055 339.893 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 339.893 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 339.893 * * * * [progress]: [ 457 / 4148 ] simplifiying candidate # 339.893 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 339.893 * * [simplify]: iters left: 6 (23 enodes) 339.899 * * [simplify]: iters left: 5 (84 enodes) 339.927 * * [simplify]: iters left: 4 (162 enodes) 339.963 * * [simplify]: iters left: 3 (419 enodes) 340.155 * * [simplify]: Extracting #0: cost 1 inf + 0 340.155 * * [simplify]: Extracting #1: cost 16 inf + 0 340.155 * * [simplify]: Extracting #2: cost 31 inf + 0 340.156 * * [simplify]: Extracting #3: cost 130 inf + 42 340.157 * * [simplify]: Extracting #4: cost 260 inf + 84 340.158 * * [simplify]: Extracting #5: cost 260 inf + 392 340.160 * * [simplify]: Extracting #6: cost 232 inf + 6443 340.173 * * [simplify]: Extracting #7: cost 72 inf + 60056 340.190 * * [simplify]: Extracting #8: cost 1 inf + 90999 340.221 * * [simplify]: Extracting #9: cost 0 inf + 91582 340.238 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 340.238 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 340.238 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 340.239 * * [simplify]: iters left: 6 (22 enodes) 340.245 * * [simplify]: iters left: 5 (79 enodes) 340.259 * * [simplify]: iters left: 4 (149 enodes) 340.301 * * [simplify]: iters left: 3 (390 enodes) 340.512 * * [simplify]: Extracting #0: cost 1 inf + 0 340.512 * * [simplify]: Extracting #1: cost 8 inf + 0 340.512 * * [simplify]: Extracting #2: cost 17 inf + 0 340.512 * * [simplify]: Extracting #3: cost 109 inf + 83 340.513 * * [simplify]: Extracting #4: cost 235 inf + 84 340.515 * * [simplify]: Extracting #5: cost 236 inf + 351 340.517 * * [simplify]: Extracting #6: cost 190 inf + 12263 340.536 * * [simplify]: Extracting #7: cost 31 inf + 65771 340.551 * * [simplify]: Extracting #8: cost 0 inf + 77775 340.570 * * [simplify]: Extracting #9: cost 0 inf + 77735 340.603 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 340.603 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 340.604 * * * * [progress]: [ 458 / 4148 ] simplifiying candidate # 340.604 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 340.604 * * [simplify]: iters left: 6 (22 enodes) 340.616 * * [simplify]: iters left: 5 (79 enodes) 340.645 * * [simplify]: iters left: 4 (150 enodes) 340.686 * * [simplify]: iters left: 3 (396 enodes) 340.955 * * [simplify]: Extracting #0: cost 1 inf + 0 340.955 * * [simplify]: Extracting #1: cost 8 inf + 0 340.955 * * [simplify]: Extracting #2: cost 14 inf + 1 340.955 * * [simplify]: Extracting #3: cost 111 inf + 1 340.956 * * [simplify]: Extracting #4: cost 241 inf + 2 340.957 * * [simplify]: Extracting #5: cost 243 inf + 269 340.960 * * [simplify]: Extracting #6: cost 193 inf + 13246 340.974 * * [simplify]: Extracting #7: cost 28 inf + 69801 341.009 * * [simplify]: Extracting #8: cost 0 inf + 80871 341.026 * * [simplify]: Extracting #9: cost 0 inf + 80671 341.043 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 341.044 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 341.044 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 341.045 * * [simplify]: iters left: 6 (21 enodes) 341.055 * * [simplify]: iters left: 5 (76 enodes) 341.075 * * [simplify]: iters left: 4 (146 enodes) 341.128 * * [simplify]: iters left: 3 (387 enodes) 341.334 * * [simplify]: Extracting #0: cost 1 inf + 0 341.334 * * [simplify]: Extracting #1: cost 8 inf + 0 341.334 * * [simplify]: Extracting #2: cost 14 inf + 1 341.334 * * [simplify]: Extracting #3: cost 109 inf + 1 341.336 * * [simplify]: Extracting #4: cost 233 inf + 2 341.339 * * [simplify]: Extracting #5: cost 234 inf + 269 341.343 * * [simplify]: Extracting #6: cost 181 inf + 14267 341.359 * * [simplify]: Extracting #7: cost 36 inf + 62369 341.374 * * [simplify]: Extracting #8: cost 1 inf + 76262 341.389 * * [simplify]: Extracting #9: cost 0 inf + 76805 341.419 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 341.419 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 341.420 * * * * [progress]: [ 459 / 4148 ] simplifiying candidate # 341.420 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 341.420 * * [simplify]: iters left: 6 (23 enodes) 341.434 * * [simplify]: iters left: 5 (86 enodes) 341.451 * * [simplify]: iters left: 4 (173 enodes) 341.513 * * [simplify]: iters left: 3 (467 enodes) 341.761 * * [simplify]: Extracting #0: cost 1 inf + 0 341.762 * * [simplify]: Extracting #1: cost 18 inf + 0 341.762 * * [simplify]: Extracting #2: cost 38 inf + 1 341.762 * * [simplify]: Extracting #3: cost 131 inf + 650 341.763 * * [simplify]: Extracting #4: cost 253 inf + 1380 341.765 * * [simplify]: Extracting #5: cost 251 inf + 1911 341.767 * * [simplify]: Extracting #6: cost 215 inf + 12566 341.785 * * [simplify]: Extracting #7: cost 47 inf + 73445 341.822 * * [simplify]: Extracting #8: cost 0 inf + 91072 341.858 * * [simplify]: Extracting #9: cost 0 inf + 90792 341.894 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) 341.894 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 341.895 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 341.895 * * [simplify]: iters left: 6 (19 enodes) 341.906 * * [simplify]: iters left: 5 (70 enodes) 341.931 * * [simplify]: iters left: 4 (140 enodes) 341.969 * * [simplify]: iters left: 3 (382 enodes) 342.196 * * [simplify]: Extracting #0: cost 1 inf + 0 342.196 * * [simplify]: Extracting #1: cost 8 inf + 0 342.196 * * [simplify]: Extracting #2: cost 19 inf + 0 342.196 * * [simplify]: Extracting #3: cost 107 inf + 164 342.198 * * [simplify]: Extracting #4: cost 229 inf + 286 342.202 * * [simplify]: Extracting #5: cost 189 inf + 10486 342.223 * * [simplify]: Extracting #6: cost 42 inf + 58810 342.252 * * [simplify]: Extracting #7: cost 0 inf + 75803 342.282 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 342.282 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 342.282 * * * * [progress]: [ 460 / 4148 ] simplifiying candidate # 342.283 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (sqrt a1))) 342.283 * * [simplify]: iters left: 6 (22 enodes) 342.290 * * [simplify]: iters left: 5 (81 enodes) 342.308 * * [simplify]: iters left: 4 (157 enodes) 342.359 * * [simplify]: iters left: 3 (419 enodes) 342.555 * * [simplify]: Extracting #0: cost 1 inf + 0 342.556 * * [simplify]: Extracting #1: cost 11 inf + 0 342.556 * * [simplify]: Extracting #2: cost 19 inf + 1 342.556 * * [simplify]: Extracting #3: cost 107 inf + 166 342.557 * * [simplify]: Extracting #4: cost 237 inf + 248 342.558 * * [simplify]: Extracting #5: cost 239 inf + 556 342.560 * * [simplify]: Extracting #6: cost 217 inf + 5752 342.574 * * [simplify]: Extracting #7: cost 58 inf + 58535 342.605 * * [simplify]: Extracting #8: cost 1 inf + 79740 342.624 * * [simplify]: Extracting #9: cost 0 inf + 80323 342.648 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) 342.648 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 342.648 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 342.649 * * [simplify]: iters left: 6 (19 enodes) 342.659 * * [simplify]: iters left: 5 (70 enodes) 342.676 * * [simplify]: iters left: 4 (140 enodes) 342.716 * * [simplify]: iters left: 3 (382 enodes) 342.946 * * [simplify]: Extracting #0: cost 1 inf + 0 342.946 * * [simplify]: Extracting #1: cost 8 inf + 0 342.946 * * [simplify]: Extracting #2: cost 19 inf + 0 342.947 * * [simplify]: Extracting #3: cost 107 inf + 84 342.949 * * [simplify]: Extracting #4: cost 229 inf + 166 342.953 * * [simplify]: Extracting #5: cost 189 inf + 10326 342.973 * * [simplify]: Extracting #6: cost 42 inf + 58530 342.987 * * [simplify]: Extracting #7: cost 0 inf + 75443 343.002 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 343.002 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (sqrt a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 343.002 * * * * [progress]: [ 461 / 4148 ] simplifiying candidate # 343.002 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) 1)) 343.002 * * [simplify]: iters left: 6 (21 enodes) 343.010 * * [simplify]: iters left: 5 (76 enodes) 343.024 * * [simplify]: iters left: 4 (145 enodes) 343.057 * * [simplify]: iters left: 3 (387 enodes) 343.300 * * [simplify]: Extracting #0: cost 1 inf + 0 343.300 * * [simplify]: Extracting #1: cost 6 inf + 0 343.300 * * [simplify]: Extracting #2: cost 8 inf + 1 343.301 * * [simplify]: Extracting #3: cost 104 inf + 1 343.302 * * [simplify]: Extracting #4: cost 233 inf + 2 343.303 * * [simplify]: Extracting #5: cost 236 inf + 208 343.309 * * [simplify]: Extracting #6: cost 191 inf + 11817 343.320 * * [simplify]: Extracting #7: cost 28 inf + 66245 343.341 * * [simplify]: Extracting #8: cost 0 inf + 77301 343.372 * * [simplify]: Extracting #9: cost 0 inf + 77261 343.402 * [simplify]: Simplified to (* (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th))))) 343.402 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 343.403 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 343.403 * * [simplify]: iters left: 6 (18 enodes) 343.412 * * [simplify]: iters left: 5 (67 enodes) 343.428 * * [simplify]: iters left: 4 (137 enodes) 343.470 * * [simplify]: iters left: 3 (378 enodes) 343.699 * * [simplify]: Extracting #0: cost 1 inf + 0 343.700 * * [simplify]: Extracting #1: cost 8 inf + 0 343.700 * * [simplify]: Extracting #2: cost 15 inf + 1 343.700 * * [simplify]: Extracting #3: cost 104 inf + 2 343.701 * * [simplify]: Extracting #4: cost 230 inf + 2 343.705 * * [simplify]: Extracting #5: cost 167 inf + 17341 343.725 * * [simplify]: Extracting #6: cost 34 inf + 62639 343.739 * * [simplify]: Extracting #7: cost 1 inf + 75043 343.759 * * [simplify]: Extracting #8: cost 0 inf + 75306 343.780 * * [simplify]: Extracting #9: cost 0 inf + 75266 343.795 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 343.795 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) 1)) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 343.796 * * * * [progress]: [ 462 / 4148 ] simplifiying candidate # 343.796 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 343.797 * * [simplify]: iters left: 6 (22 enodes) 343.808 * * [simplify]: iters left: 5 (83 enodes) 343.838 * * [simplify]: iters left: 4 (169 enodes) 343.914 * * [simplify]: iters left: 3 (446 enodes) 344.118 * * [simplify]: Extracting #0: cost 1 inf + 0 344.118 * * [simplify]: Extracting #1: cost 24 inf + 0 344.119 * * [simplify]: Extracting #2: cost 49 inf + 0 344.119 * * [simplify]: Extracting #3: cost 140 inf + 163 344.124 * * [simplify]: Extracting #4: cost 269 inf + 285 344.126 * * [simplify]: Extracting #5: cost 270 inf + 714 344.130 * * [simplify]: Extracting #6: cost 230 inf + 10990 344.151 * * [simplify]: Extracting #7: cost 69 inf + 66203 344.188 * * [simplify]: Extracting #8: cost 3 inf + 99685 344.227 * * [simplify]: Extracting #9: cost 0 inf + 101594 344.266 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 344.266 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 344.267 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 344.267 * * [simplify]: iters left: 6 (20 enodes) 344.277 * * [simplify]: iters left: 5 (73 enodes) 344.295 * * [simplify]: iters left: 4 (143 enodes) 344.335 * * [simplify]: iters left: 3 (384 enodes) 344.530 * * [simplify]: Extracting #0: cost 1 inf + 0 344.530 * * [simplify]: Extracting #1: cost 8 inf + 0 344.530 * * [simplify]: Extracting #2: cost 17 inf + 0 344.530 * * [simplify]: Extracting #3: cost 111 inf + 1 344.532 * * [simplify]: Extracting #4: cost 237 inf + 164 344.534 * * [simplify]: Extracting #5: cost 239 inf + 431 344.539 * * [simplify]: Extracting #6: cost 185 inf + 15757 344.562 * * [simplify]: Extracting #7: cost 22 inf + 71606 344.593 * * [simplify]: Extracting #8: cost 0 inf + 79563 344.624 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 344.624 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 344.625 * * * * [progress]: [ 463 / 4148 ] simplifiying candidate # 344.629 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 344.629 * * [simplify]: iters left: 6 (21 enodes) 344.640 * * [simplify]: iters left: 5 (78 enodes) 344.664 * * [simplify]: iters left: 4 (156 enodes) 344.697 * * [simplify]: iters left: 3 (413 enodes) 344.909 * * [simplify]: Extracting #0: cost 1 inf + 0 344.909 * * [simplify]: Extracting #1: cost 16 inf + 0 344.909 * * [simplify]: Extracting #2: cost 31 inf + 0 344.909 * * [simplify]: Extracting #3: cost 122 inf + 83 344.911 * * [simplify]: Extracting #4: cost 249 inf + 84 344.913 * * [simplify]: Extracting #5: cost 252 inf + 290 344.918 * * [simplify]: Extracting #6: cost 212 inf + 10305 344.930 * * [simplify]: Extracting #7: cost 59 inf + 61100 344.949 * * [simplify]: Extracting #8: cost 14 inf + 78834 344.972 * * [simplify]: Extracting #9: cost 2 inf + 86830 344.989 * * [simplify]: Extracting #10: cost 0 inf + 88076 345.006 * [simplify]: Simplified to (* (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) 345.006 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 345.006 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 345.006 * * [simplify]: iters left: 6 (20 enodes) 345.012 * * [simplify]: iters left: 5 (73 enodes) 345.037 * * [simplify]: iters left: 4 (143 enodes) 345.075 * * [simplify]: iters left: 3 (384 enodes) 345.299 * * [simplify]: Extracting #0: cost 1 inf + 0 345.299 * * [simplify]: Extracting #1: cost 8 inf + 0 345.299 * * [simplify]: Extracting #2: cost 17 inf + 0 345.300 * * [simplify]: Extracting #3: cost 111 inf + 1 345.300 * * [simplify]: Extracting #4: cost 237 inf + 84 345.302 * * [simplify]: Extracting #5: cost 239 inf + 351 345.304 * * [simplify]: Extracting #6: cost 185 inf + 15597 345.322 * * [simplify]: Extracting #7: cost 22 inf + 71326 345.339 * * [simplify]: Extracting #8: cost 0 inf + 79243 345.355 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 345.355 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 345.356 * * * * [progress]: [ 464 / 4148 ] simplifiying candidate # 345.356 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 345.357 * * [simplify]: iters left: 6 (20 enodes) 345.367 * * [simplify]: iters left: 5 (73 enodes) 345.396 * * [simplify]: iters left: 4 (144 enodes) 345.433 * * [simplify]: iters left: 3 (390 enodes) 345.687 * * [simplify]: Extracting #0: cost 1 inf + 0 345.687 * * [simplify]: Extracting #1: cost 8 inf + 0 345.687 * * [simplify]: Extracting #2: cost 14 inf + 1 345.688 * * [simplify]: Extracting #3: cost 109 inf + 1 345.690 * * [simplify]: Extracting #4: cost 232 inf + 2 345.692 * * [simplify]: Extracting #5: cost 233 inf + 269 345.695 * * [simplify]: Extracting #6: cost 188 inf + 13238 345.718 * * [simplify]: Extracting #7: cost 22 inf + 69552 345.748 * * [simplify]: Extracting #8: cost 0 inf + 77952 345.779 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 345.780 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 345.780 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 345.781 * * [simplify]: iters left: 6 (19 enodes) 345.794 * * [simplify]: iters left: 5 (70 enodes) 345.820 * * [simplify]: iters left: 4 (140 enodes) 345.880 * * [simplify]: iters left: 3 (382 enodes) 346.121 * * [simplify]: Extracting #0: cost 1 inf + 0 346.122 * * [simplify]: Extracting #1: cost 8 inf + 0 346.122 * * [simplify]: Extracting #2: cost 14 inf + 1 346.122 * * [simplify]: Extracting #3: cost 107 inf + 1 346.124 * * [simplify]: Extracting #4: cost 229 inf + 2 346.126 * * [simplify]: Extracting #5: cost 229 inf + 371 346.131 * * [simplify]: Extracting #6: cost 185 inf + 12335 346.152 * * [simplify]: Extracting #7: cost 39 inf + 60817 346.182 * * [simplify]: Extracting #8: cost 0 inf + 76081 346.216 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 346.216 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 346.216 * * * * [progress]: [ 465 / 4148 ] simplifiying candidate # 346.216 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 346.217 * * [simplify]: iters left: 6 (23 enodes) 346.228 * * [simplify]: iters left: 5 (86 enodes) 346.260 * * [simplify]: iters left: 4 (172 enodes) 346.321 * * [simplify]: iters left: 3 (449 enodes) 346.591 * * [simplify]: Extracting #0: cost 1 inf + 0 346.594 * * [simplify]: Extracting #1: cost 24 inf + 0 346.594 * * [simplify]: Extracting #2: cost 49 inf + 0 346.595 * * [simplify]: Extracting #3: cost 139 inf + 405 346.596 * * [simplify]: Extracting #4: cost 264 inf + 406 346.597 * * [simplify]: Extracting #5: cost 265 inf + 714 346.598 * * [simplify]: Extracting #6: cost 261 inf + 858 346.600 * * [simplify]: Extracting #7: cost 224 inf + 10527 346.611 * * [simplify]: Extracting #8: cost 58 inf + 67060 346.629 * * [simplify]: Extracting #9: cost 3 inf + 97533 346.666 * * [simplify]: Extracting #10: cost 0 inf + 99482 346.705 * * [simplify]: Extracting #11: cost 0 inf + 99442 346.744 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) 346.744 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 346.745 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 346.745 * * [simplify]: iters left: 6 (21 enodes) 346.756 * * [simplify]: iters left: 5 (76 enodes) 346.783 * * [simplify]: iters left: 4 (146 enodes) 346.846 * * [simplify]: iters left: 3 (387 enodes) 347.050 * * [simplify]: Extracting #0: cost 1 inf + 0 347.050 * * [simplify]: Extracting #1: cost 8 inf + 0 347.050 * * [simplify]: Extracting #2: cost 17 inf + 0 347.050 * * [simplify]: Extracting #3: cost 108 inf + 163 347.051 * * [simplify]: Extracting #4: cost 231 inf + 164 347.052 * * [simplify]: Extracting #5: cost 232 inf + 431 347.055 * * [simplify]: Extracting #6: cost 181 inf + 14347 347.073 * * [simplify]: Extracting #7: cost 36 inf + 62529 347.091 * * [simplify]: Extracting #8: cost 1 inf + 76342 347.114 * * [simplify]: Extracting #9: cost 0 inf + 76965 347.143 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 347.144 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 347.144 * * * * [progress]: [ 466 / 4148 ] simplifiying candidate # 347.144 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 347.145 * * [simplify]: iters left: 6 (22 enodes) 347.156 * * [simplify]: iters left: 5 (81 enodes) 347.185 * * [simplify]: iters left: 4 (159 enodes) 347.231 * * [simplify]: iters left: 3 (416 enodes) 347.493 * * [simplify]: Extracting #0: cost 1 inf + 0 347.493 * * [simplify]: Extracting #1: cost 16 inf + 0 347.493 * * [simplify]: Extracting #2: cost 31 inf + 0 347.494 * * [simplify]: Extracting #3: cost 123 inf + 83 347.495 * * [simplify]: Extracting #4: cost 246 inf + 84 347.496 * * [simplify]: Extracting #5: cost 247 inf + 392 347.498 * * [simplify]: Extracting #6: cost 187 inf + 18056 347.511 * * [simplify]: Extracting #7: cost 18 inf + 80260 347.539 * * [simplify]: Extracting #8: cost 0 inf + 86670 347.566 * * [simplify]: Extracting #9: cost 0 inf + 86590 347.582 * [simplify]: Simplified to (/ (sqrt a1) (/ (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) 347.582 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 347.582 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 347.583 * * [simplify]: iters left: 6 (21 enodes) 347.590 * * [simplify]: iters left: 5 (76 enodes) 347.617 * * [simplify]: iters left: 4 (146 enodes) 347.662 * * [simplify]: iters left: 3 (387 enodes) 347.882 * * [simplify]: Extracting #0: cost 1 inf + 0 347.882 * * [simplify]: Extracting #1: cost 8 inf + 0 347.882 * * [simplify]: Extracting #2: cost 17 inf + 0 347.882 * * [simplify]: Extracting #3: cost 108 inf + 83 347.884 * * [simplify]: Extracting #4: cost 231 inf + 84 347.886 * * [simplify]: Extracting #5: cost 232 inf + 351 347.891 * * [simplify]: Extracting #6: cost 181 inf + 14227 347.912 * * [simplify]: Extracting #7: cost 36 inf + 62329 347.941 * * [simplify]: Extracting #8: cost 1 inf + 76062 347.975 * * [simplify]: Extracting #9: cost 0 inf + 76645 347.992 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 347.993 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 347.993 * * * * [progress]: [ 467 / 4148 ] simplifiying candidate # 347.993 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 347.993 * * [simplify]: iters left: 6 (21 enodes) 347.999 * * [simplify]: iters left: 5 (76 enodes) 348.013 * * [simplify]: iters left: 4 (147 enodes) 348.073 * * [simplify]: iters left: 3 (394 enodes) 348.276 * * [simplify]: Extracting #0: cost 1 inf + 0 348.276 * * [simplify]: Extracting #1: cost 8 inf + 0 348.276 * * [simplify]: Extracting #2: cost 14 inf + 1 348.277 * * [simplify]: Extracting #3: cost 110 inf + 1 348.278 * * [simplify]: Extracting #4: cost 237 inf + 2 348.280 * * [simplify]: Extracting #5: cost 239 inf + 310 348.284 * * [simplify]: Extracting #6: cost 198 inf + 10085 348.310 * * [simplify]: Extracting #7: cost 29 inf + 67081 348.325 * * [simplify]: Extracting #8: cost 0 inf + 79421 348.340 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (sqrt (cbrt (sqrt 2))))) 348.340 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 348.341 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 348.341 * * [simplify]: iters left: 6 (20 enodes) 348.347 * * [simplify]: iters left: 5 (73 enodes) 348.365 * * [simplify]: iters left: 4 (143 enodes) 348.404 * * [simplify]: iters left: 3 (384 enodes) 348.613 * * [simplify]: Extracting #0: cost 1 inf + 0 348.613 * * [simplify]: Extracting #1: cost 8 inf + 0 348.613 * * [simplify]: Extracting #2: cost 14 inf + 1 348.614 * * [simplify]: Extracting #3: cost 110 inf + 1 348.615 * * [simplify]: Extracting #4: cost 239 inf + 2 348.616 * * [simplify]: Extracting #5: cost 241 inf + 269 348.618 * * [simplify]: Extracting #6: cost 186 inf + 15396 348.632 * * [simplify]: Extracting #7: cost 22 inf + 71326 348.649 * * [simplify]: Extracting #8: cost 0 inf + 79243 348.664 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 348.664 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 348.664 * * * * [progress]: [ 468 / 4148 ] simplifiying candidate # 348.664 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 348.665 * * [simplify]: iters left: 6 (22 enodes) 348.671 * * [simplify]: iters left: 5 (83 enodes) 348.687 * * [simplify]: iters left: 4 (170 enodes) 348.725 * * [simplify]: iters left: 3 (463 enodes) 348.964 * * [simplify]: Extracting #0: cost 1 inf + 0 348.965 * * [simplify]: Extracting #1: cost 18 inf + 0 348.965 * * [simplify]: Extracting #2: cost 39 inf + 1 348.965 * * [simplify]: Extracting #3: cost 128 inf + 408 348.966 * * [simplify]: Extracting #4: cost 252 inf + 975 348.968 * * [simplify]: Extracting #5: cost 248 inf + 1911 348.970 * * [simplify]: Extracting #6: cost 208 inf + 14917 348.985 * * [simplify]: Extracting #7: cost 38 inf + 76075 349.024 * * [simplify]: Extracting #8: cost 0 inf + 89733 349.042 * * [simplify]: Extracting #9: cost 0 inf + 89573 349.076 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) 349.076 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (cos th) (* (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 349.077 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 349.077 * * [simplify]: iters left: 6 (19 enodes) 349.087 * * [simplify]: iters left: 5 (70 enodes) 349.112 * * [simplify]: iters left: 4 (140 enodes) 349.176 * * [simplify]: iters left: 3 (382 enodes) 349.391 * * [simplify]: Extracting #0: cost 1 inf + 0 349.391 * * [simplify]: Extracting #1: cost 8 inf + 0 349.391 * * [simplify]: Extracting #2: cost 19 inf + 0 349.391 * * [simplify]: Extracting #3: cost 107 inf + 164 349.392 * * [simplify]: Extracting #4: cost 229 inf + 286 349.394 * * [simplify]: Extracting #5: cost 189 inf + 10486 349.411 * * [simplify]: Extracting #6: cost 42 inf + 58810 349.441 * * [simplify]: Extracting #7: cost 0 inf + 75803 349.470 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 349.471 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 349.471 * * * * [progress]: [ 469 / 4148 ] simplifiying candidate # 349.471 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (sqrt a1))) 349.472 * * [simplify]: iters left: 6 (21 enodes) 349.484 * * [simplify]: iters left: 5 (78 enodes) 349.512 * * [simplify]: iters left: 4 (154 enodes) 349.580 * * [simplify]: iters left: 3 (415 enodes) 349.901 * * [simplify]: Extracting #0: cost 1 inf + 0 349.901 * * [simplify]: Extracting #1: cost 11 inf + 0 349.902 * * [simplify]: Extracting #2: cost 19 inf + 1 349.902 * * [simplify]: Extracting #3: cost 113 inf + 43 349.904 * * [simplify]: Extracting #4: cost 239 inf + 248 349.906 * * [simplify]: Extracting #5: cost 241 inf + 454 349.910 * * [simplify]: Extracting #6: cost 207 inf + 8335 349.926 * * [simplify]: Extracting #7: cost 41 inf + 64431 349.942 * * [simplify]: Extracting #8: cost 1 inf + 80324 349.967 * * [simplify]: Extracting #9: cost 0 inf + 80908 350.004 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) 350.004 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 350.005 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 350.005 * * [simplify]: iters left: 6 (19 enodes) 350.015 * * [simplify]: iters left: 5 (70 enodes) 350.036 * * [simplify]: iters left: 4 (140 enodes) 350.073 * * [simplify]: iters left: 3 (382 enodes) 350.326 * * [simplify]: Extracting #0: cost 1 inf + 0 350.326 * * [simplify]: Extracting #1: cost 8 inf + 0 350.326 * * [simplify]: Extracting #2: cost 19 inf + 0 350.326 * * [simplify]: Extracting #3: cost 107 inf + 84 350.327 * * [simplify]: Extracting #4: cost 229 inf + 166 350.329 * * [simplify]: Extracting #5: cost 189 inf + 10326 350.340 * * [simplify]: Extracting #6: cost 42 inf + 58530 350.374 * * [simplify]: Extracting #7: cost 0 inf + 75443 350.404 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 350.404 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (sqrt a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 350.405 * * * * [progress]: [ 470 / 4148 ] simplifiying candidate # 350.405 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) 1)) 350.405 * * [simplify]: iters left: 6 (20 enodes) 350.418 * * [simplify]: iters left: 5 (73 enodes) 350.445 * * [simplify]: iters left: 4 (142 enodes) 350.491 * * [simplify]: iters left: 3 (384 enodes) 350.690 * * [simplify]: Extracting #0: cost 1 inf + 0 350.691 * * [simplify]: Extracting #1: cost 6 inf + 0 350.691 * * [simplify]: Extracting #2: cost 8 inf + 1 350.691 * * [simplify]: Extracting #3: cost 100 inf + 1 350.693 * * [simplify]: Extracting #4: cost 231 inf + 2 350.695 * * [simplify]: Extracting #5: cost 233 inf + 269 350.699 * * [simplify]: Extracting #6: cost 192 inf + 10707 350.722 * * [simplify]: Extracting #7: cost 28 inf + 64454 350.755 * * [simplify]: Extracting #8: cost 4 inf + 74083 350.787 * * [simplify]: Extracting #9: cost 0 inf + 76257 350.809 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) 350.809 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 350.809 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 350.810 * * [simplify]: iters left: 6 (18 enodes) 350.815 * * [simplify]: iters left: 5 (67 enodes) 350.828 * * [simplify]: iters left: 4 (137 enodes) 350.889 * * [simplify]: iters left: 3 (378 enodes) 351.133 * * [simplify]: Extracting #0: cost 1 inf + 0 351.133 * * [simplify]: Extracting #1: cost 8 inf + 0 351.133 * * [simplify]: Extracting #2: cost 15 inf + 1 351.133 * * [simplify]: Extracting #3: cost 104 inf + 2 351.134 * * [simplify]: Extracting #4: cost 230 inf + 2 351.137 * * [simplify]: Extracting #5: cost 167 inf + 17341 351.159 * * [simplify]: Extracting #6: cost 34 inf + 62639 351.188 * * [simplify]: Extracting #7: cost 1 inf + 75043 351.206 * * [simplify]: Extracting #8: cost 0 inf + 75306 351.221 * * [simplify]: Extracting #9: cost 0 inf + 75266 351.240 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 351.240 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) 1)) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 351.240 * * * * [progress]: [ 471 / 4148 ] simplifiying candidate # 351.240 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 351.241 * * [simplify]: iters left: 6 (23 enodes) 351.247 * * [simplify]: iters left: 5 (90 enodes) 351.272 * * [simplify]: iters left: 4 (201 enodes) 351.359 * * [simplify]: Extracting #0: cost 1 inf + 0 351.359 * * [simplify]: Extracting #1: cost 39 inf + 0 351.362 * * [simplify]: Extracting #2: cost 74 inf + 0 351.363 * * [simplify]: Extracting #3: cost 131 inf + 1 351.364 * * [simplify]: Extracting #4: cost 183 inf + 204 351.366 * * [simplify]: Extracting #5: cost 179 inf + 835 351.369 * * [simplify]: Extracting #6: cost 138 inf + 14852 351.388 * * [simplify]: Extracting #7: cost 27 inf + 64226 351.415 * * [simplify]: Extracting #8: cost 0 inf + 77637 351.436 * * [simplify]: Extracting #9: cost 0 inf + 76517 351.449 * * [simplify]: Extracting #10: cost 0 inf + 76437 351.462 * [simplify]: Simplified to (* (* (cbrt a1) (/ (cbrt (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt a1) (/ (cbrt (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))))) 351.462 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (cbrt (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt a1) (/ (cbrt (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 351.463 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 351.463 * * [simplify]: iters left: 6 (20 enodes) 351.468 * * [simplify]: iters left: 5 (73 enodes) 351.482 * * [simplify]: iters left: 4 (143 enodes) 351.514 * * [simplify]: iters left: 3 (384 enodes) 351.743 * * [simplify]: Extracting #0: cost 1 inf + 0 351.743 * * [simplify]: Extracting #1: cost 8 inf + 0 351.743 * * [simplify]: Extracting #2: cost 17 inf + 0 351.744 * * [simplify]: Extracting #3: cost 111 inf + 1 351.745 * * [simplify]: Extracting #4: cost 237 inf + 164 351.747 * * [simplify]: Extracting #5: cost 239 inf + 431 351.752 * * [simplify]: Extracting #6: cost 185 inf + 15757 351.776 * * [simplify]: Extracting #7: cost 22 inf + 71606 351.807 * * [simplify]: Extracting #8: cost 0 inf + 79563 351.838 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 351.838 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 351.838 * * * * [progress]: [ 472 / 4148 ] simplifiying candidate # 351.839 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 351.839 * * [simplify]: iters left: 6 (22 enodes) 351.846 * * [simplify]: iters left: 5 (83 enodes) 351.864 * * [simplify]: iters left: 4 (172 enodes) 351.918 * * [simplify]: iters left: 3 (468 enodes) 352.177 * * [simplify]: Extracting #0: cost 1 inf + 0 352.177 * * [simplify]: Extracting #1: cost 27 inf + 0 352.177 * * [simplify]: Extracting #2: cost 54 inf + 0 352.177 * * [simplify]: Extracting #3: cost 144 inf + 83 352.178 * * [simplify]: Extracting #4: cost 270 inf + 84 352.180 * * [simplify]: Extracting #5: cost 271 inf + 453 352.182 * * [simplify]: Extracting #6: cost 215 inf + 18548 352.211 * * [simplify]: Extracting #7: cost 30 inf + 89260 352.255 * * [simplify]: Extracting #8: cost 0 inf + 101234 352.276 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 352.276 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (/ (cbrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 352.277 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 352.277 * * [simplify]: iters left: 6 (20 enodes) 352.283 * * [simplify]: iters left: 5 (73 enodes) 352.304 * * [simplify]: iters left: 4 (143 enodes) 352.346 * * [simplify]: iters left: 3 (384 enodes) 352.568 * * [simplify]: Extracting #0: cost 1 inf + 0 352.568 * * [simplify]: Extracting #1: cost 8 inf + 0 352.568 * * [simplify]: Extracting #2: cost 17 inf + 0 352.568 * * [simplify]: Extracting #3: cost 111 inf + 1 352.572 * * [simplify]: Extracting #4: cost 237 inf + 84 352.573 * * [simplify]: Extracting #5: cost 239 inf + 351 352.576 * * [simplify]: Extracting #6: cost 185 inf + 15597 352.597 * * [simplify]: Extracting #7: cost 22 inf + 71326 352.627 * * [simplify]: Extracting #8: cost 0 inf + 79243 352.657 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 352.658 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 352.658 * * * * [progress]: [ 473 / 4148 ] simplifiying candidate # 352.658 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 352.659 * * [simplify]: iters left: 6 (21 enodes) 352.669 * * [simplify]: iters left: 5 (78 enodes) 352.695 * * [simplify]: iters left: 4 (166 enodes) 352.740 * * [simplify]: iters left: 3 (438 enodes) 352.991 * * [simplify]: Extracting #0: cost 1 inf + 0 352.991 * * [simplify]: Extracting #1: cost 13 inf + 0 352.991 * * [simplify]: Extracting #2: cost 27 inf + 1 352.991 * * [simplify]: Extracting #3: cost 125 inf + 1 352.992 * * [simplify]: Extracting #4: cost 248 inf + 2 352.993 * * [simplify]: Extracting #5: cost 249 inf + 269 352.997 * * [simplify]: Extracting #6: cost 208 inf + 10128 353.018 * * [simplify]: Extracting #7: cost 54 inf + 62243 353.037 * * [simplify]: Extracting #8: cost 2 inf + 84745 353.060 * * [simplify]: Extracting #9: cost 0 inf + 85951 353.095 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 353.095 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 353.096 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 353.096 * * [simplify]: iters left: 6 (19 enodes) 353.106 * * [simplify]: iters left: 5 (70 enodes) 353.129 * * [simplify]: iters left: 4 (140 enodes) 353.163 * * [simplify]: iters left: 3 (382 enodes) 353.398 * * [simplify]: Extracting #0: cost 1 inf + 0 353.398 * * [simplify]: Extracting #1: cost 8 inf + 0 353.398 * * [simplify]: Extracting #2: cost 14 inf + 1 353.399 * * [simplify]: Extracting #3: cost 107 inf + 1 353.399 * * [simplify]: Extracting #4: cost 229 inf + 2 353.401 * * [simplify]: Extracting #5: cost 229 inf + 371 353.403 * * [simplify]: Extracting #6: cost 185 inf + 12335 353.420 * * [simplify]: Extracting #7: cost 39 inf + 60817 353.445 * * [simplify]: Extracting #8: cost 0 inf + 76081 353.460 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 353.460 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 353.460 * * * * [progress]: [ 474 / 4148 ] simplifiying candidate # 353.460 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 353.461 * * [simplify]: iters left: 6 (22 enodes) 353.466 * * [simplify]: iters left: 5 (83 enodes) 353.488 * * [simplify]: iters left: 4 (169 enodes) 353.539 * * [simplify]: iters left: 3 (446 enodes) 353.784 * * [simplify]: Extracting #0: cost 1 inf + 0 353.784 * * [simplify]: Extracting #1: cost 24 inf + 0 353.784 * * [simplify]: Extracting #2: cost 49 inf + 0 353.785 * * [simplify]: Extracting #3: cost 140 inf + 163 353.787 * * [simplify]: Extracting #4: cost 269 inf + 285 353.789 * * [simplify]: Extracting #5: cost 270 inf + 714 353.793 * * [simplify]: Extracting #6: cost 230 inf + 10830 353.813 * * [simplify]: Extracting #7: cost 73 inf + 63953 353.839 * * [simplify]: Extracting #8: cost 3 inf + 97325 353.858 * * [simplify]: Extracting #9: cost 0 inf + 99274 353.897 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (sqrt (cbrt (cbrt (sqrt 2))))) 353.897 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 353.898 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 353.898 * * [simplify]: iters left: 6 (20 enodes) 353.908 * * [simplify]: iters left: 5 (73 enodes) 353.934 * * [simplify]: iters left: 4 (143 enodes) 353.978 * * [simplify]: iters left: 3 (384 enodes) 354.199 * * [simplify]: Extracting #0: cost 1 inf + 0 354.199 * * [simplify]: Extracting #1: cost 8 inf + 0 354.199 * * [simplify]: Extracting #2: cost 17 inf + 0 354.199 * * [simplify]: Extracting #3: cost 111 inf + 1 354.201 * * [simplify]: Extracting #4: cost 237 inf + 164 354.203 * * [simplify]: Extracting #5: cost 239 inf + 431 354.208 * * [simplify]: Extracting #6: cost 185 inf + 15637 354.220 * * [simplify]: Extracting #7: cost 22 inf + 71326 354.240 * * [simplify]: Extracting #8: cost 0 inf + 79243 354.266 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 354.266 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 354.266 * * * * [progress]: [ 475 / 4148 ] simplifiying candidate # 354.266 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 354.266 * * [simplify]: iters left: 6 (21 enodes) 354.272 * * [simplify]: iters left: 5 (78 enodes) 354.287 * * [simplify]: iters left: 4 (156 enodes) 354.350 * * [simplify]: iters left: 3 (413 enodes) 354.586 * * [simplify]: Extracting #0: cost 1 inf + 0 354.586 * * [simplify]: Extracting #1: cost 16 inf + 0 354.586 * * [simplify]: Extracting #2: cost 31 inf + 0 354.586 * * [simplify]: Extracting #3: cost 122 inf + 83 354.588 * * [simplify]: Extracting #4: cost 249 inf + 84 354.590 * * [simplify]: Extracting #5: cost 252 inf + 290 354.594 * * [simplify]: Extracting #6: cost 212 inf + 10145 354.620 * * [simplify]: Extracting #7: cost 59 inf + 60780 354.649 * * [simplify]: Extracting #8: cost 14 inf + 78114 354.683 * * [simplify]: Extracting #9: cost 1 inf + 86053 354.717 * * [simplify]: Extracting #10: cost 0 inf + 86636 354.750 * [simplify]: Simplified to (* (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) 354.750 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 354.751 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 354.751 * * [simplify]: iters left: 6 (20 enodes) 354.761 * * [simplify]: iters left: 5 (73 enodes) 354.789 * * [simplify]: iters left: 4 (143 enodes) 354.836 * * [simplify]: iters left: 3 (384 enodes) 355.051 * * [simplify]: Extracting #0: cost 1 inf + 0 355.051 * * [simplify]: Extracting #1: cost 8 inf + 0 355.051 * * [simplify]: Extracting #2: cost 17 inf + 0 355.052 * * [simplify]: Extracting #3: cost 111 inf + 1 355.053 * * [simplify]: Extracting #4: cost 237 inf + 84 355.054 * * [simplify]: Extracting #5: cost 239 inf + 351 355.056 * * [simplify]: Extracting #6: cost 185 inf + 15477 355.079 * * [simplify]: Extracting #7: cost 22 inf + 71046 355.101 * * [simplify]: Extracting #8: cost 0 inf + 78923 355.119 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 355.119 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 355.119 * * * * [progress]: [ 476 / 4148 ] simplifiying candidate # 355.120 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 355.120 * * [simplify]: iters left: 6 (20 enodes) 355.128 * * [simplify]: iters left: 5 (73 enodes) 355.155 * * [simplify]: iters left: 4 (144 enodes) 355.189 * * [simplify]: iters left: 3 (390 enodes) 355.433 * * [simplify]: Extracting #0: cost 1 inf + 0 355.433 * * [simplify]: Extracting #1: cost 8 inf + 0 355.433 * * [simplify]: Extracting #2: cost 14 inf + 1 355.434 * * [simplify]: Extracting #3: cost 109 inf + 1 355.435 * * [simplify]: Extracting #4: cost 232 inf + 2 355.436 * * [simplify]: Extracting #5: cost 233 inf + 269 355.438 * * [simplify]: Extracting #6: cost 188 inf + 13118 355.449 * * [simplify]: Extracting #7: cost 22 inf + 69112 355.475 * * [simplify]: Extracting #8: cost 0 inf + 77312 355.494 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (cbrt (cbrt (sqrt 2))))) 355.494 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 355.494 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 355.495 * * [simplify]: iters left: 6 (19 enodes) 355.500 * * [simplify]: iters left: 5 (70 enodes) 355.520 * * [simplify]: iters left: 4 (140 enodes) 355.553 * * [simplify]: iters left: 3 (382 enodes) 355.806 * * [simplify]: Extracting #0: cost 1 inf + 0 355.806 * * [simplify]: Extracting #1: cost 8 inf + 0 355.806 * * [simplify]: Extracting #2: cost 14 inf + 1 355.807 * * [simplify]: Extracting #3: cost 107 inf + 1 355.809 * * [simplify]: Extracting #4: cost 229 inf + 2 355.811 * * [simplify]: Extracting #5: cost 229 inf + 371 355.815 * * [simplify]: Extracting #6: cost 185 inf + 12215 355.836 * * [simplify]: Extracting #7: cost 39 inf + 60577 355.870 * * [simplify]: Extracting #8: cost 0 inf + 75761 355.900 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 355.900 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 355.900 * * * * [progress]: [ 477 / 4148 ] simplifiying candidate # 355.901 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 355.901 * * [simplify]: iters left: 6 (21 enodes) 355.912 * * [simplify]: iters left: 5 (80 enodes) 355.941 * * [simplify]: iters left: 4 (162 enodes) 355.996 * * [simplify]: iters left: 3 (446 enodes) 356.268 * * [simplify]: Extracting #0: cost 1 inf + 0 356.268 * * [simplify]: Extracting #1: cost 17 inf + 0 356.268 * * [simplify]: Extracting #2: cost 33 inf + 1 356.268 * * [simplify]: Extracting #3: cost 124 inf + 83 356.269 * * [simplify]: Extracting #4: cost 249 inf + 407 356.271 * * [simplify]: Extracting #5: cost 247 inf + 1241 356.277 * * [simplify]: Extracting #6: cost 187 inf + 18088 356.299 * * [simplify]: Extracting #7: cost 41 inf + 67728 356.324 * * [simplify]: Extracting #8: cost 4 inf + 84678 356.349 * * [simplify]: Extracting #9: cost 0 inf + 87333 356.389 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) 356.389 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 356.389 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 356.390 * * [simplify]: iters left: 6 (19 enodes) 356.399 * * [simplify]: iters left: 5 (70 enodes) 356.412 * * [simplify]: iters left: 4 (140 enodes) 356.457 * * [simplify]: iters left: 3 (382 enodes) 356.668 * * [simplify]: Extracting #0: cost 1 inf + 0 356.668 * * [simplify]: Extracting #1: cost 8 inf + 0 356.668 * * [simplify]: Extracting #2: cost 19 inf + 0 356.669 * * [simplify]: Extracting #3: cost 107 inf + 164 356.670 * * [simplify]: Extracting #4: cost 229 inf + 286 356.672 * * [simplify]: Extracting #5: cost 189 inf + 10486 356.691 * * [simplify]: Extracting #6: cost 42 inf + 58810 356.720 * * [simplify]: Extracting #7: cost 0 inf + 75803 356.754 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 356.754 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 356.755 * * * * [progress]: [ 478 / 4148 ] simplifiying candidate # 356.755 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (sqrt a1))) 356.755 * * [simplify]: iters left: 6 (20 enodes) 356.766 * * [simplify]: iters left: 5 (75 enodes) 356.779 * * [simplify]: iters left: 4 (149 enodes) 356.827 * * [simplify]: iters left: 3 (411 enodes) 357.061 * * [simplify]: Extracting #0: cost 1 inf + 0 357.061 * * [simplify]: Extracting #1: cost 11 inf + 0 357.061 * * [simplify]: Extracting #2: cost 19 inf + 1 357.061 * * [simplify]: Extracting #3: cost 110 inf + 2 357.062 * * [simplify]: Extracting #4: cost 236 inf + 248 357.064 * * [simplify]: Extracting #5: cost 238 inf + 454 357.066 * * [simplify]: Extracting #6: cost 199 inf + 10430 357.080 * * [simplify]: Extracting #7: cost 35 inf + 66604 357.096 * * [simplify]: Extracting #8: cost 0 inf + 79740 357.112 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) 357.112 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt a1)) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 357.112 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 357.113 * * [simplify]: iters left: 6 (19 enodes) 357.118 * * [simplify]: iters left: 5 (70 enodes) 357.133 * * [simplify]: iters left: 4 (140 enodes) 357.175 * * [simplify]: iters left: 3 (382 enodes) 357.411 * * [simplify]: Extracting #0: cost 1 inf + 0 357.411 * * [simplify]: Extracting #1: cost 8 inf + 0 357.411 * * [simplify]: Extracting #2: cost 19 inf + 0 357.412 * * [simplify]: Extracting #3: cost 107 inf + 84 357.413 * * [simplify]: Extracting #4: cost 229 inf + 166 357.415 * * [simplify]: Extracting #5: cost 189 inf + 10326 357.424 * * [simplify]: Extracting #6: cost 42 inf + 58530 357.439 * * [simplify]: Extracting #7: cost 0 inf + 75443 357.454 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 357.454 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (sqrt a1))) (/ (cbrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 357.454 * * * * [progress]: [ 479 / 4148 ] simplifiying candidate # 357.454 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 1)) 357.455 * * [simplify]: iters left: 6 (19 enodes) 357.460 * * [simplify]: iters left: 5 (68 enodes) 357.472 * * [simplify]: iters left: 4 (137 enodes) 357.508 * * [simplify]: iters left: 3 (377 enodes) 357.764 * * [simplify]: Extracting #0: cost 1 inf + 0 357.764 * * [simplify]: Extracting #1: cost 5 inf + 0 357.764 * * [simplify]: Extracting #2: cost 7 inf + 1 357.764 * * [simplify]: Extracting #3: cost 102 inf + 1 357.765 * * [simplify]: Extracting #4: cost 225 inf + 2 357.766 * * [simplify]: Extracting #5: cost 225 inf + 371 357.767 * * [simplify]: Extracting #6: cost 192 inf + 8489 357.778 * * [simplify]: Extracting #7: cost 38 inf + 60330 357.808 * * [simplify]: Extracting #8: cost 0 inf + 74277 357.823 * * [simplify]: Extracting #9: cost 0 inf + 74077 357.839 * [simplify]: Simplified to (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) 357.839 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 357.840 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 357.840 * * [simplify]: iters left: 6 (18 enodes) 357.849 * * [simplify]: iters left: 5 (67 enodes) 357.866 * * [simplify]: iters left: 4 (137 enodes) 357.909 * * [simplify]: iters left: 3 (378 enodes) 358.158 * * [simplify]: Extracting #0: cost 1 inf + 0 358.158 * * [simplify]: Extracting #1: cost 8 inf + 0 358.158 * * [simplify]: Extracting #2: cost 15 inf + 1 358.159 * * [simplify]: Extracting #3: cost 104 inf + 2 358.160 * * [simplify]: Extracting #4: cost 230 inf + 2 358.165 * * [simplify]: Extracting #5: cost 167 inf + 17341 358.190 * * [simplify]: Extracting #6: cost 34 inf + 62639 358.219 * * [simplify]: Extracting #7: cost 1 inf + 75043 358.235 * * [simplify]: Extracting #8: cost 0 inf + 75306 358.252 * * [simplify]: Extracting #9: cost 0 inf + 75266 358.267 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 358.267 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 1)) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 358.268 * * * * [progress]: [ 480 / 4148 ] simplifiying candidate # 358.268 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 1) 358.268 * * [simplify]: iters left: 6 (18 enodes) 358.273 * * [simplify]: iters left: 5 (65 enodes) 358.287 * * [simplify]: iters left: 4 (137 enodes) 358.342 * * [simplify]: iters left: 3 (375 enodes) 358.557 * * [simplify]: Extracting #0: cost 1 inf + 0 358.558 * * [simplify]: Extracting #1: cost 5 inf + 0 358.558 * * [simplify]: Extracting #2: cost 7 inf + 1 358.558 * * [simplify]: Extracting #3: cost 100 inf + 1 358.560 * * [simplify]: Extracting #4: cost 230 inf + 2 358.562 * * [simplify]: Extracting #5: cost 231 inf + 371 358.565 * * [simplify]: Extracting #6: cost 194 inf + 9858 358.590 * * [simplify]: Extracting #7: cost 37 inf + 61833 358.620 * * [simplify]: Extracting #8: cost 0 inf + 75810 358.650 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1))) 358.650 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 358.651 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 358.651 * * [simplify]: iters left: 6 (18 enodes) 358.656 * * [simplify]: iters left: 5 (67 enodes) 358.669 * * [simplify]: iters left: 4 (137 enodes) 358.731 * * [simplify]: iters left: 3 (378 enodes) 358.979 * * [simplify]: Extracting #0: cost 1 inf + 0 358.979 * * [simplify]: Extracting #1: cost 8 inf + 0 358.979 * * [simplify]: Extracting #2: cost 15 inf + 1 358.979 * * [simplify]: Extracting #3: cost 104 inf + 2 358.980 * * [simplify]: Extracting #4: cost 230 inf + 2 358.983 * * [simplify]: Extracting #5: cost 167 inf + 17341 359.011 * * [simplify]: Extracting #6: cost 34 inf + 62639 359.041 * * [simplify]: Extracting #7: cost 1 inf + 75043 359.058 * * [simplify]: Extracting #8: cost 0 inf + 75306 359.073 * * [simplify]: Extracting #9: cost 0 inf + 75266 359.088 * [simplify]: Simplified to (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 359.088 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 1) (/ (cbrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 359.089 * * * * [progress]: [ 481 / 4148 ] simplifiying candidate # 359.090 * [simplify]: Simplifying (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (cbrt (cbrt (sqrt 2)))) 359.090 * * [simplify]: iters left: 6 (18 enodes) 359.095 * * [simplify]: iters left: 5 (67 enodes) 359.116 * * [simplify]: iters left: 4 (136 enodes) 359.174 * * [simplify]: iters left: 3 (376 enodes) 359.422 * * [simplify]: Extracting #0: cost 1 inf + 0 359.423 * * [simplify]: Extracting #1: cost 8 inf + 0 359.423 * * [simplify]: Extracting #2: cost 15 inf + 1 359.423 * * [simplify]: Extracting #3: cost 115 inf + 1 359.425 * * [simplify]: Extracting #4: cost 244 inf + 2 359.428 * * [simplify]: Extracting #5: cost 205 inf + 9537 359.452 * * [simplify]: Extracting #6: cost 28 inf + 69488 359.484 * * [simplify]: Extracting #7: cost 1 inf + 79881 359.515 * * [simplify]: Extracting #8: cost 0 inf + 80464 359.550 * [simplify]: Simplified to (* (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 359.550 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (/ (* (cos th) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 359.551 * [simplify]: Simplifying (/ (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1)) 359.551 * * [simplify]: iters left: 6 (18 enodes) 359.561 * * [simplify]: iters left: 5 (67 enodes) 359.586 * * [simplify]: iters left: 4 (133 enodes) 359.645 * * [simplify]: iters left: 3 (375 enodes) 359.940 * * [simplify]: Extracting #0: cost 1 inf + 0 359.940 * * [simplify]: Extracting #1: cost 6 inf + 0 359.941 * * [simplify]: Extracting #2: cost 6 inf + 44 359.941 * * [simplify]: Extracting #3: cost 103 inf + 86 359.942 * * [simplify]: Extracting #4: cost 232 inf + 86 359.943 * * [simplify]: Extracting #5: cost 232 inf + 353 359.945 * * [simplify]: Extracting #6: cost 187 inf + 12178 359.964 * * [simplify]: Extracting #7: cost 31 inf + 64175 359.998 * * [simplify]: Extracting #8: cost 0 inf + 75476 360.013 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) a1) 360.013 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (* (cos th) (/ (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 360.013 * * * * [progress]: [ 482 / 4148 ] simplifiying candidate # 360.013 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 360.013 * * [simplify]: iters left: 6 (20 enodes) 360.019 * * [simplify]: iters left: 5 (73 enodes) 360.038 * * [simplify]: iters left: 4 (140 enodes) 360.078 * * [simplify]: iters left: 3 (376 enodes) 360.348 * * [simplify]: Extracting #0: cost 1 inf + 0 360.348 * * [simplify]: Extracting #1: cost 6 inf + 0 360.349 * * [simplify]: Extracting #2: cost 12 inf + 0 360.349 * * [simplify]: Extracting #3: cost 108 inf + 0 360.350 * * [simplify]: Extracting #4: cost 233 inf + 2 360.351 * * [simplify]: Extracting #5: cost 233 inf + 371 360.353 * * [simplify]: Extracting #6: cost 191 inf + 11592 360.364 * * [simplify]: Extracting #7: cost 28 inf + 65641 360.395 * * [simplify]: Extracting #8: cost 1 inf + 76394 360.425 * * [simplify]: Extracting #9: cost 0 inf + 77057 360.454 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ a1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 360.454 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (/ a1 (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 360.455 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 360.455 * * [simplify]: iters left: 6 (19 enodes) 360.465 * * [simplify]: iters left: 5 (68 enodes) 360.480 * * [simplify]: iters left: 4 (133 enodes) 360.519 * * [simplify]: iters left: 3 (370 enodes) 360.719 * * [simplify]: Extracting #0: cost 1 inf + 0 360.719 * * [simplify]: Extracting #1: cost 4 inf + 0 360.719 * * [simplify]: Extracting #2: cost 8 inf + 0 360.720 * * [simplify]: Extracting #3: cost 107 inf + 0 360.720 * * [simplify]: Extracting #4: cost 234 inf + 2 360.721 * * [simplify]: Extracting #5: cost 233 inf + 371 360.723 * * [simplify]: Extracting #6: cost 197 inf + 9320 360.734 * * [simplify]: Extracting #7: cost 38 inf + 62958 360.749 * * [simplify]: Extracting #8: cost 0 inf + 76054 360.770 * * [simplify]: Extracting #9: cost 0 inf + 75893 360.785 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 360.785 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 360.785 * * * * [progress]: [ 483 / 4148 ] simplifiying candidate # 360.786 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 360.786 * * [simplify]: iters left: 6 (19 enodes) 360.791 * * [simplify]: iters left: 5 (68 enodes) 360.814 * * [simplify]: iters left: 4 (133 enodes) 360.848 * * [simplify]: iters left: 3 (370 enodes) 361.104 * * [simplify]: Extracting #0: cost 1 inf + 0 361.104 * * [simplify]: Extracting #1: cost 4 inf + 0 361.104 * * [simplify]: Extracting #2: cost 8 inf + 0 361.105 * * [simplify]: Extracting #3: cost 107 inf + 0 361.106 * * [simplify]: Extracting #4: cost 234 inf + 2 361.108 * * [simplify]: Extracting #5: cost 233 inf + 371 361.112 * * [simplify]: Extracting #6: cost 197 inf + 9280 361.132 * * [simplify]: Extracting #7: cost 38 inf + 62838 361.161 * * [simplify]: Extracting #8: cost 0 inf + 75894 361.192 * * [simplify]: Extracting #9: cost 0 inf + 75733 361.225 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 361.225 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 361.226 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 361.226 * * [simplify]: iters left: 6 (19 enodes) 361.236 * * [simplify]: iters left: 5 (68 enodes) 361.261 * * [simplify]: iters left: 4 (133 enodes) 361.320 * * [simplify]: iters left: 3 (370 enodes) 361.595 * * [simplify]: Extracting #0: cost 1 inf + 0 361.595 * * [simplify]: Extracting #1: cost 4 inf + 0 361.595 * * [simplify]: Extracting #2: cost 8 inf + 0 361.595 * * [simplify]: Extracting #3: cost 107 inf + 0 361.597 * * [simplify]: Extracting #4: cost 234 inf + 2 361.599 * * [simplify]: Extracting #5: cost 233 inf + 371 361.603 * * [simplify]: Extracting #6: cost 197 inf + 9280 361.624 * * [simplify]: Extracting #7: cost 38 inf + 62838 361.653 * * [simplify]: Extracting #8: cost 0 inf + 75894 361.682 * * [simplify]: Extracting #9: cost 0 inf + 75733 361.697 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 361.697 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 361.697 * * * * [progress]: [ 484 / 4148 ] simplifiying candidate # 361.697 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 361.697 * * [simplify]: iters left: 6 (22 enodes) 361.703 * * [simplify]: iters left: 5 (81 enodes) 361.721 * * [simplify]: iters left: 4 (157 enodes) 361.792 * * [simplify]: iters left: 3 (407 enodes) 362.038 * * [simplify]: Extracting #0: cost 1 inf + 0 362.038 * * [simplify]: Extracting #1: cost 12 inf + 0 362.038 * * [simplify]: Extracting #2: cost 25 inf + 0 362.039 * * [simplify]: Extracting #3: cost 117 inf + 163 362.044 * * [simplify]: Extracting #4: cost 245 inf + 285 362.046 * * [simplify]: Extracting #5: cost 245 inf + 775 362.048 * * [simplify]: Extracting #6: cost 211 inf + 9480 362.058 * * [simplify]: Extracting #7: cost 60 inf + 58868 362.078 * * [simplify]: Extracting #8: cost 4 inf + 81248 362.102 * * [simplify]: Extracting #9: cost 1 inf + 83357 362.118 * * [simplify]: Extracting #10: cost 0 inf + 84140 362.148 * [simplify]: Simplified to (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 362.148 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 362.149 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 362.149 * * [simplify]: iters left: 6 (20 enodes) 362.159 * * [simplify]: iters left: 5 (73 enodes) 362.186 * * [simplify]: iters left: 4 (143 enodes) 362.230 * * [simplify]: iters left: 3 (384 enodes) 362.435 * * [simplify]: Extracting #0: cost 1 inf + 0 362.435 * * [simplify]: Extracting #1: cost 8 inf + 0 362.435 * * [simplify]: Extracting #2: cost 17 inf + 0 362.435 * * [simplify]: Extracting #3: cost 111 inf + 1 362.436 * * [simplify]: Extracting #4: cost 237 inf + 164 362.437 * * [simplify]: Extracting #5: cost 239 inf + 431 362.439 * * [simplify]: Extracting #6: cost 185 inf + 15677 362.453 * * [simplify]: Extracting #7: cost 22 inf + 71326 362.484 * * [simplify]: Extracting #8: cost 0 inf + 79243 362.518 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 362.518 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 362.519 * * * * [progress]: [ 485 / 4148 ] simplifiying candidate # 362.519 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 362.519 * * [simplify]: iters left: 6 (21 enodes) 362.530 * * [simplify]: iters left: 5 (76 enodes) 362.557 * * [simplify]: iters left: 4 (146 enodes) 362.591 * * [simplify]: iters left: 3 (387 enodes) 362.830 * * [simplify]: Extracting #0: cost 1 inf + 0 362.830 * * [simplify]: Extracting #1: cost 8 inf + 0 362.830 * * [simplify]: Extracting #2: cost 17 inf + 0 362.830 * * [simplify]: Extracting #3: cost 108 inf + 83 362.831 * * [simplify]: Extracting #4: cost 231 inf + 84 362.832 * * [simplify]: Extracting #5: cost 232 inf + 351 362.835 * * [simplify]: Extracting #6: cost 181 inf + 14467 362.858 * * [simplify]: Extracting #7: cost 36 inf + 62809 362.891 * * [simplify]: Extracting #8: cost 1 inf + 76582 362.921 * * [simplify]: Extracting #9: cost 0 inf + 77125 362.950 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 362.950 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 362.950 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 362.950 * * [simplify]: iters left: 6 (20 enodes) 362.955 * * [simplify]: iters left: 5 (73 enodes) 362.969 * * [simplify]: iters left: 4 (143 enodes) 363.015 * * [simplify]: iters left: 3 (384 enodes) 363.227 * * [simplify]: Extracting #0: cost 1 inf + 0 363.227 * * [simplify]: Extracting #1: cost 8 inf + 0 363.227 * * [simplify]: Extracting #2: cost 17 inf + 0 363.227 * * [simplify]: Extracting #3: cost 111 inf + 1 363.233 * * [simplify]: Extracting #4: cost 237 inf + 84 363.235 * * [simplify]: Extracting #5: cost 239 inf + 351 363.240 * * [simplify]: Extracting #6: cost 185 inf + 15517 363.263 * * [simplify]: Extracting #7: cost 22 inf + 71046 363.292 * * [simplify]: Extracting #8: cost 0 inf + 78923 363.307 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 363.307 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 363.307 * * * * [progress]: [ 486 / 4148 ] simplifiying candidate # 363.307 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 363.308 * * [simplify]: iters left: 6 (20 enodes) 363.313 * * [simplify]: iters left: 5 (71 enodes) 363.333 * * [simplify]: iters left: 4 (138 enodes) 363.376 * * [simplify]: iters left: 3 (376 enodes) 363.586 * * [simplify]: Extracting #0: cost 1 inf + 0 363.586 * * [simplify]: Extracting #1: cost 5 inf + 0 363.586 * * [simplify]: Extracting #2: cost 8 inf + 1 363.586 * * [simplify]: Extracting #3: cost 102 inf + 1 363.588 * * [simplify]: Extracting #4: cost 231 inf + 2 363.590 * * [simplify]: Extracting #5: cost 233 inf + 269 363.594 * * [simplify]: Extracting #6: cost 183 inf + 14343 363.612 * * [simplify]: Extracting #7: cost 25 inf + 66115 363.626 * * [simplify]: Extracting #8: cost 0 inf + 75404 363.649 * [simplify]: Simplified to (/ (sqrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 363.649 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* a1 (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 363.650 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 363.650 * * [simplify]: iters left: 6 (19 enodes) 363.660 * * [simplify]: iters left: 5 (70 enodes) 363.674 * * [simplify]: iters left: 4 (140 enodes) 363.711 * * [simplify]: iters left: 3 (382 enodes) 363.917 * * [simplify]: Extracting #0: cost 1 inf + 0 363.917 * * [simplify]: Extracting #1: cost 8 inf + 0 363.918 * * [simplify]: Extracting #2: cost 14 inf + 1 363.918 * * [simplify]: Extracting #3: cost 107 inf + 1 363.920 * * [simplify]: Extracting #4: cost 229 inf + 2 363.922 * * [simplify]: Extracting #5: cost 229 inf + 371 363.926 * * [simplify]: Extracting #6: cost 185 inf + 12335 363.947 * * [simplify]: Extracting #7: cost 39 inf + 60657 363.963 * * [simplify]: Extracting #8: cost 0 inf + 75761 363.987 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 363.987 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 363.988 * * * * [progress]: [ 487 / 4148 ] simplifiying candidate # 363.988 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 363.988 * * [simplify]: iters left: 6 (25 enodes) 363.996 * * [simplify]: iters left: 5 (91 enodes) 364.016 * * [simplify]: iters left: 4 (167 enodes) 364.060 * * [simplify]: iters left: 3 (417 enodes) 364.251 * * [simplify]: Extracting #0: cost 1 inf + 0 364.251 * * [simplify]: Extracting #1: cost 12 inf + 0 364.251 * * [simplify]: Extracting #2: cost 25 inf + 0 364.251 * * [simplify]: Extracting #3: cost 119 inf + 163 364.252 * * [simplify]: Extracting #4: cost 248 inf + 285 364.253 * * [simplify]: Extracting #5: cost 248 inf + 775 364.255 * * [simplify]: Extracting #6: cost 199 inf + 13787 364.265 * * [simplify]: Extracting #7: cost 42 inf + 65596 364.283 * * [simplify]: Extracting #8: cost 6 inf + 79704 364.308 * * [simplify]: Extracting #9: cost 0 inf + 84101 364.340 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cbrt (fabs (cbrt 2)))) (cbrt a1)) (cbrt a1))) 364.340 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (cbrt (fabs (cbrt 2)))) (cbrt a1)) (cbrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 364.341 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 364.341 * * [simplify]: iters left: 6 (23 enodes) 364.353 * * [simplify]: iters left: 5 (82 enodes) 364.382 * * [simplify]: iters left: 4 (152 enodes) 364.440 * * [simplify]: iters left: 3 (394 enodes) 364.643 * * [simplify]: Extracting #0: cost 1 inf + 0 364.643 * * [simplify]: Extracting #1: cost 8 inf + 0 364.644 * * [simplify]: Extracting #2: cost 17 inf + 0 364.644 * * [simplify]: Extracting #3: cost 110 inf + 163 364.645 * * [simplify]: Extracting #4: cost 240 inf + 164 364.646 * * [simplify]: Extracting #5: cost 243 inf + 431 364.650 * * [simplify]: Extracting #6: cost 207 inf + 8317 364.669 * * [simplify]: Extracting #7: cost 44 inf + 62895 364.699 * * [simplify]: Extracting #8: cost 6 inf + 76688 364.729 * * [simplify]: Extracting #9: cost 1 inf + 79480 364.744 * * [simplify]: Extracting #10: cost 0 inf + 80223 364.762 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 364.762 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 364.763 * * * * [progress]: [ 488 / 4148 ] simplifiying candidate # 364.763 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 364.763 * * [simplify]: iters left: 6 (24 enodes) 364.777 * * [simplify]: iters left: 5 (86 enodes) 364.795 * * [simplify]: iters left: 4 (156 enodes) 364.843 * * [simplify]: iters left: 3 (397 enodes) 365.058 * * [simplify]: Extracting #0: cost 1 inf + 0 365.059 * * [simplify]: Extracting #1: cost 8 inf + 0 365.059 * * [simplify]: Extracting #2: cost 17 inf + 0 365.059 * * [simplify]: Extracting #3: cost 109 inf + 83 365.060 * * [simplify]: Extracting #4: cost 241 inf + 84 365.061 * * [simplify]: Extracting #5: cost 245 inf + 351 365.064 * * [simplify]: Extracting #6: cost 204 inf + 9427 365.082 * * [simplify]: Extracting #7: cost 43 inf + 63785 365.112 * * [simplify]: Extracting #8: cost 2 inf + 79041 365.147 * * [simplify]: Extracting #9: cost 0 inf + 80087 365.179 * * [simplify]: Extracting #10: cost 0 inf + 80007 365.209 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (sqrt a1))) 365.209 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 365.210 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 365.210 * * [simplify]: iters left: 6 (23 enodes) 365.222 * * [simplify]: iters left: 5 (82 enodes) 365.237 * * [simplify]: iters left: 4 (152 enodes) 365.703 * * [simplify]: iters left: 3 (394 enodes) 365.933 * * [simplify]: Extracting #0: cost 1 inf + 0 365.933 * * [simplify]: Extracting #1: cost 8 inf + 0 365.933 * * [simplify]: Extracting #2: cost 17 inf + 0 365.933 * * [simplify]: Extracting #3: cost 110 inf + 83 365.934 * * [simplify]: Extracting #4: cost 240 inf + 84 365.935 * * [simplify]: Extracting #5: cost 243 inf + 351 365.937 * * [simplify]: Extracting #6: cost 207 inf + 8237 365.957 * * [simplify]: Extracting #7: cost 44 inf + 62815 365.978 * * [simplify]: Extracting #8: cost 6 inf + 76488 365.993 * * [simplify]: Extracting #9: cost 1 inf + 79160 366.020 * * [simplify]: Extracting #10: cost 0 inf + 79903 366.047 * [simplify]: Simplified to (/ (sqrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 366.047 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (sqrt (/ (cos th) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 366.047 * * * * [progress]: [ 489 / 4148 ] simplifiying candidate # 366.047 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 366.048 * * [simplify]: iters left: 6 (23 enodes) 366.054 * * [simplify]: iters left: 5 (81 enodes) 366.069 * * [simplify]: iters left: 4 (148 enodes) 366.130 * * [simplify]: iters left: 3 (386 enodes) 366.383 * * [simplify]: Extracting #0: cost 1 inf + 0 366.383 * * [simplify]: Extracting #1: cost 5 inf + 0 366.383 * * [simplify]: Extracting #2: cost 8 inf + 1 366.383 * * [simplify]: Extracting #3: cost 106 inf + 1 366.384 * * [simplify]: Extracting #4: cost 235 inf + 2 366.385 * * [simplify]: Extracting #5: cost 239 inf + 310 366.387 * * [simplify]: Extracting #6: cost 203 inf + 8253 366.397 * * [simplify]: Extracting #7: cost 32 inf + 64951 366.417 * * [simplify]: Extracting #8: cost 0 inf + 76649 366.446 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (fabs (cbrt 2))))) 366.446 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 366.447 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 366.447 * * [simplify]: iters left: 6 (22 enodes) 366.459 * * [simplify]: iters left: 5 (79 enodes) 366.487 * * [simplify]: iters left: 4 (149 enodes) 366.550 * * [simplify]: iters left: 3 (390 enodes) 366.818 * * [simplify]: Extracting #0: cost 1 inf + 0 366.819 * * [simplify]: Extracting #1: cost 8 inf + 0 366.819 * * [simplify]: Extracting #2: cost 14 inf + 1 366.819 * * [simplify]: Extracting #3: cost 109 inf + 1 366.820 * * [simplify]: Extracting #4: cost 236 inf + 2 366.821 * * [simplify]: Extracting #5: cost 238 inf + 269 366.823 * * [simplify]: Extracting #6: cost 190 inf + 12685 366.845 * * [simplify]: Extracting #7: cost 33 inf + 65307 366.860 * * [simplify]: Extracting #8: cost 0 inf + 77935 366.875 * * [simplify]: Extracting #9: cost 0 inf + 77895 366.897 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 366.897 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 366.898 * * * * [progress]: [ 490 / 4148 ] simplifiying candidate # 366.898 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 366.898 * * [simplify]: iters left: 6 (23 enodes) 366.910 * * [simplify]: iters left: 5 (84 enodes) 366.939 * * [simplify]: iters left: 4 (160 enodes) 366.992 * * [simplify]: iters left: 3 (409 enodes) 367.262 * * [simplify]: Extracting #0: cost 1 inf + 0 367.262 * * [simplify]: Extracting #1: cost 12 inf + 0 367.262 * * [simplify]: Extracting #2: cost 25 inf + 0 367.263 * * [simplify]: Extracting #3: cost 118 inf + 284 367.265 * * [simplify]: Extracting #4: cost 245 inf + 406 367.267 * * [simplify]: Extracting #5: cost 246 inf + 714 367.272 * * [simplify]: Extracting #6: cost 196 inf + 14297 367.294 * * [simplify]: Extracting #7: cost 38 inf + 66859 367.326 * * [simplify]: Extracting #8: cost 0 inf + 82755 367.356 * * [simplify]: Extracting #9: cost 0 inf + 82635 367.375 * [simplify]: Simplified to (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 367.375 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 367.376 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 367.376 * * [simplify]: iters left: 6 (22 enodes) 367.382 * * [simplify]: iters left: 5 (79 enodes) 367.398 * * [simplify]: iters left: 4 (149 enodes) 367.431 * * [simplify]: iters left: 3 (390 enodes) 367.636 * * [simplify]: Extracting #0: cost 1 inf + 0 367.636 * * [simplify]: Extracting #1: cost 8 inf + 0 367.636 * * [simplify]: Extracting #2: cost 17 inf + 0 367.637 * * [simplify]: Extracting #3: cost 109 inf + 163 367.639 * * [simplify]: Extracting #4: cost 235 inf + 164 367.641 * * [simplify]: Extracting #5: cost 236 inf + 431 367.645 * * [simplify]: Extracting #6: cost 190 inf + 12343 367.668 * * [simplify]: Extracting #7: cost 31 inf + 65771 367.698 * * [simplify]: Extracting #8: cost 0 inf + 77775 367.712 * * [simplify]: Extracting #9: cost 0 inf + 77735 367.733 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 367.733 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 367.733 * * * * [progress]: [ 491 / 4148 ] simplifiying candidate # 367.734 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 367.734 * * [simplify]: iters left: 6 (22 enodes) 367.745 * * [simplify]: iters left: 5 (79 enodes) 367.766 * * [simplify]: iters left: 4 (149 enodes) 367.812 * * [simplify]: iters left: 3 (390 enodes) 368.012 * * [simplify]: Extracting #0: cost 1 inf + 0 368.012 * * [simplify]: Extracting #1: cost 8 inf + 0 368.012 * * [simplify]: Extracting #2: cost 17 inf + 0 368.012 * * [simplify]: Extracting #3: cost 109 inf + 83 368.013 * * [simplify]: Extracting #4: cost 235 inf + 84 368.014 * * [simplify]: Extracting #5: cost 236 inf + 351 368.017 * * [simplify]: Extracting #6: cost 190 inf + 12223 368.028 * * [simplify]: Extracting #7: cost 31 inf + 65531 368.043 * * [simplify]: Extracting #8: cost 0 inf + 77455 368.071 * * [simplify]: Extracting #9: cost 0 inf + 77415 368.101 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 368.102 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 368.102 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 368.102 * * [simplify]: iters left: 6 (22 enodes) 368.113 * * [simplify]: iters left: 5 (79 enodes) 368.136 * * [simplify]: iters left: 4 (149 enodes) 368.177 * * [simplify]: iters left: 3 (390 enodes) 368.419 * * [simplify]: Extracting #0: cost 1 inf + 0 368.419 * * [simplify]: Extracting #1: cost 8 inf + 0 368.419 * * [simplify]: Extracting #2: cost 17 inf + 0 368.419 * * [simplify]: Extracting #3: cost 109 inf + 83 368.421 * * [simplify]: Extracting #4: cost 235 inf + 84 368.423 * * [simplify]: Extracting #5: cost 236 inf + 351 368.428 * * [simplify]: Extracting #6: cost 190 inf + 12223 368.450 * * [simplify]: Extracting #7: cost 31 inf + 65531 368.478 * * [simplify]: Extracting #8: cost 0 inf + 77455 368.497 * * [simplify]: Extracting #9: cost 0 inf + 77415 368.512 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 368.512 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 368.512 * * * * [progress]: [ 492 / 4148 ] simplifiying candidate # 368.512 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 368.513 * * [simplify]: iters left: 6 (21 enodes) 368.518 * * [simplify]: iters left: 5 (74 enodes) 368.531 * * [simplify]: iters left: 4 (141 enodes) 368.571 * * [simplify]: iters left: 3 (380 enodes) 368.824 * * [simplify]: Extracting #0: cost 1 inf + 0 368.824 * * [simplify]: Extracting #1: cost 5 inf + 0 368.824 * * [simplify]: Extracting #2: cost 8 inf + 1 368.824 * * [simplify]: Extracting #3: cost 101 inf + 1 368.825 * * [simplify]: Extracting #4: cost 233 inf + 2 368.828 * * [simplify]: Extracting #5: cost 235 inf + 208 368.832 * * [simplify]: Extracting #6: cost 195 inf + 9499 368.851 * * [simplify]: Extracting #7: cost 25 inf + 66140 368.869 * * [simplify]: Extracting #8: cost 0 inf + 75140 368.885 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) 368.886 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 368.886 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 368.886 * * [simplify]: iters left: 6 (21 enodes) 368.892 * * [simplify]: iters left: 5 (76 enodes) 368.906 * * [simplify]: iters left: 4 (146 enodes) 368.947 * * [simplify]: iters left: 3 (387 enodes) 369.146 * * [simplify]: Extracting #0: cost 1 inf + 0 369.146 * * [simplify]: Extracting #1: cost 8 inf + 0 369.146 * * [simplify]: Extracting #2: cost 14 inf + 1 369.147 * * [simplify]: Extracting #3: cost 109 inf + 1 369.149 * * [simplify]: Extracting #4: cost 233 inf + 2 369.151 * * [simplify]: Extracting #5: cost 234 inf + 269 369.156 * * [simplify]: Extracting #6: cost 181 inf + 14267 369.175 * * [simplify]: Extracting #7: cost 36 inf + 62289 369.190 * * [simplify]: Extracting #8: cost 1 inf + 75982 369.216 * * [simplify]: Extracting #9: cost 0 inf + 76485 369.246 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 369.246 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 369.246 * * * * [progress]: [ 493 / 4148 ] simplifiying candidate # 369.247 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 369.247 * * [simplify]: iters left: 6 (23 enodes) 369.259 * * [simplify]: iters left: 5 (84 enodes) 369.284 * * [simplify]: iters left: 4 (160 enodes) 369.318 * * [simplify]: iters left: 3 (407 enodes) 369.535 * * [simplify]: Extracting #0: cost 1 inf + 0 369.535 * * [simplify]: Extracting #1: cost 12 inf + 0 369.535 * * [simplify]: Extracting #2: cost 20 inf + 1 369.535 * * [simplify]: Extracting #3: cost 109 inf + 853 369.536 * * [simplify]: Extracting #4: cost 237 inf + 1136 369.538 * * [simplify]: Extracting #5: cost 234 inf + 2010 369.539 * * [simplify]: Extracting #6: cost 193 inf + 12635 369.555 * * [simplify]: Extracting #7: cost 35 inf + 65467 369.586 * * [simplify]: Extracting #8: cost 0 inf + 78275 369.617 * * [simplify]: Extracting #9: cost 0 inf + 78115 369.652 * [simplify]: Simplified to (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) 369.652 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 369.653 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 369.653 * * [simplify]: iters left: 6 (19 enodes) 369.663 * * [simplify]: iters left: 5 (70 enodes) 369.688 * * [simplify]: iters left: 4 (140 enodes) 369.748 * * [simplify]: iters left: 3 (382 enodes) 370.024 * * [simplify]: Extracting #0: cost 1 inf + 0 370.024 * * [simplify]: Extracting #1: cost 8 inf + 0 370.024 * * [simplify]: Extracting #2: cost 19 inf + 0 370.025 * * [simplify]: Extracting #3: cost 107 inf + 164 370.027 * * [simplify]: Extracting #4: cost 229 inf + 286 370.031 * * [simplify]: Extracting #5: cost 189 inf + 10486 370.051 * * [simplify]: Extracting #6: cost 42 inf + 58690 370.085 * * [simplify]: Extracting #7: cost 0 inf + 75483 370.112 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 370.112 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 370.113 * * * * [progress]: [ 494 / 4148 ] simplifiying candidate # 370.113 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 370.113 * * [simplify]: iters left: 6 (22 enodes) 370.119 * * [simplify]: iters left: 5 (79 enodes) 370.136 * * [simplify]: iters left: 4 (149 enodes) 370.196 * * [simplify]: iters left: 3 (386 enodes) 370.442 * * [simplify]: Extracting #0: cost 1 inf + 0 370.442 * * [simplify]: Extracting #1: cost 8 inf + 0 370.442 * * [simplify]: Extracting #2: cost 12 inf + 1 370.442 * * [simplify]: Extracting #3: cost 99 inf + 166 370.444 * * [simplify]: Extracting #4: cost 222 inf + 492 370.446 * * [simplify]: Extracting #5: cost 222 inf + 861 370.450 * * [simplify]: Extracting #6: cost 186 inf + 10011 370.470 * * [simplify]: Extracting #7: cost 37 inf + 59283 370.493 * * [simplify]: Extracting #8: cost 0 inf + 72978 370.515 * * [simplify]: Extracting #9: cost 0 inf + 72898 370.530 * [simplify]: Simplified to (* (sqrt (/ (* a1 (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt a1)) 370.530 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt a1)) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 370.531 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 370.531 * * [simplify]: iters left: 6 (19 enodes) 370.536 * * [simplify]: iters left: 5 (70 enodes) 370.559 * * [simplify]: iters left: 4 (140 enodes) 370.591 * * [simplify]: iters left: 3 (382 enodes) 370.831 * * [simplify]: Extracting #0: cost 1 inf + 0 370.831 * * [simplify]: Extracting #1: cost 8 inf + 0 370.831 * * [simplify]: Extracting #2: cost 19 inf + 0 370.832 * * [simplify]: Extracting #3: cost 107 inf + 84 370.832 * * [simplify]: Extracting #4: cost 229 inf + 166 370.834 * * [simplify]: Extracting #5: cost 189 inf + 10326 370.844 * * [simplify]: Extracting #6: cost 42 inf + 58410 370.859 * * [simplify]: Extracting #7: cost 0 inf + 75123 370.887 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 370.887 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt a1)) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 370.887 * * * * [progress]: [ 495 / 4148 ] simplifiying candidate # 370.888 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) 1)) 370.888 * * [simplify]: iters left: 6 (21 enodes) 370.899 * * [simplify]: iters left: 5 (74 enodes) 370.922 * * [simplify]: iters left: 4 (141 enodes) 370.963 * * [simplify]: iters left: 3 (379 enodes) 371.246 * * [simplify]: Extracting #0: cost 1 inf + 0 371.246 * * [simplify]: Extracting #1: cost 4 inf + 0 371.246 * * [simplify]: Extracting #2: cost 94 inf + 1 371.247 * * [simplify]: Extracting #3: cost 224 inf + 2 371.248 * * [simplify]: Extracting #4: cost 225 inf + 269 371.250 * * [simplify]: Extracting #5: cost 171 inf + 15400 371.271 * * [simplify]: Extracting #6: cost 16 inf + 66804 371.293 * * [simplify]: Extracting #7: cost 0 inf + 72425 371.307 * [simplify]: Simplified to (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 371.307 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 371.308 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 371.308 * * [simplify]: iters left: 6 (18 enodes) 371.313 * * [simplify]: iters left: 5 (67 enodes) 371.342 * * [simplify]: iters left: 4 (137 enodes) 371.394 * * [simplify]: iters left: 3 (378 enodes) 371.638 * * [simplify]: Extracting #0: cost 1 inf + 0 371.638 * * [simplify]: Extracting #1: cost 8 inf + 0 371.638 * * [simplify]: Extracting #2: cost 15 inf + 1 371.639 * * [simplify]: Extracting #3: cost 104 inf + 2 371.641 * * [simplify]: Extracting #4: cost 230 inf + 2 371.646 * * [simplify]: Extracting #5: cost 167 inf + 17341 371.665 * * [simplify]: Extracting #6: cost 34 inf + 62519 371.680 * * [simplify]: Extracting #7: cost 1 inf + 74763 371.696 * * [simplify]: Extracting #8: cost 0 inf + 74986 371.713 * * [simplify]: Extracting #9: cost 0 inf + 74946 371.735 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 371.735 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 371.736 * * * * [progress]: [ 496 / 4148 ] simplifiying candidate # 371.736 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 371.736 * * [simplify]: iters left: 6 (23 enodes) 371.748 * * [simplify]: iters left: 5 (84 enodes) 371.777 * * [simplify]: iters left: 4 (160 enodes) 371.849 * * [simplify]: iters left: 3 (409 enodes) 372.131 * * [simplify]: Extracting #0: cost 1 inf + 0 372.131 * * [simplify]: Extracting #1: cost 12 inf + 0 372.132 * * [simplify]: Extracting #2: cost 25 inf + 0 372.132 * * [simplify]: Extracting #3: cost 118 inf + 284 372.134 * * [simplify]: Extracting #4: cost 245 inf + 406 372.136 * * [simplify]: Extracting #5: cost 246 inf + 714 372.141 * * [simplify]: Extracting #6: cost 196 inf + 14297 372.158 * * [simplify]: Extracting #7: cost 38 inf + 66859 372.174 * * [simplify]: Extracting #8: cost 0 inf + 82755 372.195 * * [simplify]: Extracting #9: cost 0 inf + 82635 372.227 * [simplify]: Simplified to (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 372.227 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 372.228 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 372.228 * * [simplify]: iters left: 6 (22 enodes) 372.239 * * [simplify]: iters left: 5 (79 enodes) 372.269 * * [simplify]: iters left: 4 (149 enodes) 372.332 * * [simplify]: iters left: 3 (390 enodes) 372.549 * * [simplify]: Extracting #0: cost 1 inf + 0 372.549 * * [simplify]: Extracting #1: cost 8 inf + 0 372.549 * * [simplify]: Extracting #2: cost 17 inf + 0 372.550 * * [simplify]: Extracting #3: cost 109 inf + 163 372.551 * * [simplify]: Extracting #4: cost 235 inf + 164 372.552 * * [simplify]: Extracting #5: cost 236 inf + 431 372.555 * * [simplify]: Extracting #6: cost 190 inf + 12343 372.577 * * [simplify]: Extracting #7: cost 31 inf + 65771 372.608 * * [simplify]: Extracting #8: cost 0 inf + 77775 372.636 * * [simplify]: Extracting #9: cost 0 inf + 77735 372.650 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 372.650 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 372.651 * * * * [progress]: [ 497 / 4148 ] simplifiying candidate # 372.651 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 372.651 * * [simplify]: iters left: 6 (22 enodes) 372.657 * * [simplify]: iters left: 5 (79 enodes) 372.671 * * [simplify]: iters left: 4 (149 enodes) 372.723 * * [simplify]: iters left: 3 (390 enodes) 372.934 * * [simplify]: Extracting #0: cost 1 inf + 0 372.934 * * [simplify]: Extracting #1: cost 8 inf + 0 372.934 * * [simplify]: Extracting #2: cost 17 inf + 0 372.934 * * [simplify]: Extracting #3: cost 109 inf + 83 372.936 * * [simplify]: Extracting #4: cost 235 inf + 84 372.938 * * [simplify]: Extracting #5: cost 236 inf + 351 372.942 * * [simplify]: Extracting #6: cost 190 inf + 12223 372.956 * * [simplify]: Extracting #7: cost 31 inf + 65531 372.971 * * [simplify]: Extracting #8: cost 0 inf + 77455 372.986 * * [simplify]: Extracting #9: cost 0 inf + 77415 373.000 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 373.000 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 373.001 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 373.001 * * [simplify]: iters left: 6 (22 enodes) 373.007 * * [simplify]: iters left: 5 (79 enodes) 373.024 * * [simplify]: iters left: 4 (149 enodes) 373.089 * * [simplify]: iters left: 3 (390 enodes) 373.365 * * [simplify]: Extracting #0: cost 1 inf + 0 373.365 * * [simplify]: Extracting #1: cost 8 inf + 0 373.365 * * [simplify]: Extracting #2: cost 17 inf + 0 373.366 * * [simplify]: Extracting #3: cost 109 inf + 83 373.368 * * [simplify]: Extracting #4: cost 235 inf + 84 373.370 * * [simplify]: Extracting #5: cost 236 inf + 351 373.374 * * [simplify]: Extracting #6: cost 190 inf + 12223 373.393 * * [simplify]: Extracting #7: cost 31 inf + 65531 373.408 * * [simplify]: Extracting #8: cost 0 inf + 77455 373.423 * * [simplify]: Extracting #9: cost 0 inf + 77415 373.438 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 373.438 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 373.438 * * * * [progress]: [ 498 / 4148 ] simplifiying candidate # 373.439 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 373.439 * * [simplify]: iters left: 6 (21 enodes) 373.447 * * [simplify]: iters left: 5 (74 enodes) 373.460 * * [simplify]: iters left: 4 (141 enodes) 373.500 * * [simplify]: iters left: 3 (380 enodes) 373.758 * * [simplify]: Extracting #0: cost 1 inf + 0 373.758 * * [simplify]: Extracting #1: cost 5 inf + 0 373.759 * * [simplify]: Extracting #2: cost 8 inf + 1 373.759 * * [simplify]: Extracting #3: cost 101 inf + 1 373.760 * * [simplify]: Extracting #4: cost 233 inf + 2 373.761 * * [simplify]: Extracting #5: cost 235 inf + 208 373.763 * * [simplify]: Extracting #6: cost 195 inf + 9499 373.774 * * [simplify]: Extracting #7: cost 25 inf + 66140 373.788 * * [simplify]: Extracting #8: cost 0 inf + 75140 373.821 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) 373.822 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 373.822 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 373.822 * * [simplify]: iters left: 6 (21 enodes) 373.833 * * [simplify]: iters left: 5 (76 enodes) 373.861 * * [simplify]: iters left: 4 (146 enodes) 373.907 * * [simplify]: iters left: 3 (387 enodes) 374.095 * * [simplify]: Extracting #0: cost 1 inf + 0 374.095 * * [simplify]: Extracting #1: cost 8 inf + 0 374.095 * * [simplify]: Extracting #2: cost 14 inf + 1 374.095 * * [simplify]: Extracting #3: cost 109 inf + 1 374.097 * * [simplify]: Extracting #4: cost 233 inf + 2 374.099 * * [simplify]: Extracting #5: cost 234 inf + 269 374.104 * * [simplify]: Extracting #6: cost 181 inf + 14267 374.126 * * [simplify]: Extracting #7: cost 36 inf + 62289 374.160 * * [simplify]: Extracting #8: cost 1 inf + 75982 374.190 * * [simplify]: Extracting #9: cost 0 inf + 76485 374.220 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 374.220 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 374.220 * * * * [progress]: [ 499 / 4148 ] simplifiying candidate # 374.221 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 374.221 * * [simplify]: iters left: 6 (22 enodes) 374.234 * * [simplify]: iters left: 5 (81 enodes) 374.263 * * [simplify]: iters left: 4 (158 enodes) 374.332 * * [simplify]: iters left: 3 (411 enodes) 374.564 * * [simplify]: Extracting #0: cost 1 inf + 0 374.564 * * [simplify]: Extracting #1: cost 11 inf + 0 374.564 * * [simplify]: Extracting #2: cost 22 inf + 1 374.564 * * [simplify]: Extracting #3: cost 111 inf + 408 374.567 * * [simplify]: Extracting #4: cost 235 inf + 1421 374.570 * * [simplify]: Extracting #5: cost 236 inf + 1850 374.574 * * [simplify]: Extracting #6: cost 196 inf + 13073 374.597 * * [simplify]: Extracting #7: cost 33 inf + 67943 374.628 * * [simplify]: Extracting #8: cost 0 inf + 79663 374.661 * [simplify]: Simplified to (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) 374.661 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 374.661 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 374.662 * * [simplify]: iters left: 6 (19 enodes) 374.667 * * [simplify]: iters left: 5 (70 enodes) 374.680 * * [simplify]: iters left: 4 (140 enodes) 374.739 * * [simplify]: iters left: 3 (382 enodes) 374.961 * * [simplify]: Extracting #0: cost 1 inf + 0 374.961 * * [simplify]: Extracting #1: cost 8 inf + 0 374.961 * * [simplify]: Extracting #2: cost 19 inf + 0 374.962 * * [simplify]: Extracting #3: cost 107 inf + 164 374.963 * * [simplify]: Extracting #4: cost 229 inf + 286 374.965 * * [simplify]: Extracting #5: cost 189 inf + 10486 374.975 * * [simplify]: Extracting #6: cost 42 inf + 58690 374.990 * * [simplify]: Extracting #7: cost 0 inf + 75483 375.005 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 375.005 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 375.006 * * * * [progress]: [ 500 / 4148 ] simplifiying candidate # 375.006 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (sqrt a1))) 375.006 * * [simplify]: iters left: 6 (21 enodes) 375.018 * * [simplify]: iters left: 5 (76 enodes) 375.050 * * [simplify]: iters left: 4 (144 enodes) 375.092 * * [simplify]: iters left: 3 (386 enodes) 375.300 * * [simplify]: Extracting #0: cost 1 inf + 0 375.300 * * [simplify]: Extracting #1: cost 6 inf + 0 375.300 * * [simplify]: Extracting #2: cost 10 inf + 1 375.301 * * [simplify]: Extracting #3: cost 102 inf + 2 375.301 * * [simplify]: Extracting #4: cost 227 inf + 43 375.303 * * [simplify]: Extracting #5: cost 225 inf + 535 375.304 * * [simplify]: Extracting #6: cost 184 inf + 10254 375.322 * * [simplify]: Extracting #7: cost 25 inf + 63854 375.345 * * [simplify]: Extracting #8: cost 0 inf + 73338 375.359 * [simplify]: Simplified to (* (sqrt a1) (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) 375.359 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 375.359 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 375.359 * * [simplify]: iters left: 6 (19 enodes) 375.368 * * [simplify]: iters left: 5 (70 enodes) 375.388 * * [simplify]: iters left: 4 (140 enodes) 375.426 * * [simplify]: iters left: 3 (382 enodes) 375.600 * * [simplify]: Extracting #0: cost 1 inf + 0 375.600 * * [simplify]: Extracting #1: cost 8 inf + 0 375.600 * * [simplify]: Extracting #2: cost 19 inf + 0 375.601 * * [simplify]: Extracting #3: cost 107 inf + 84 375.602 * * [simplify]: Extracting #4: cost 229 inf + 166 375.604 * * [simplify]: Extracting #5: cost 189 inf + 10326 375.618 * * [simplify]: Extracting #6: cost 42 inf + 58410 375.647 * * [simplify]: Extracting #7: cost 0 inf + 75123 375.681 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 375.681 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (sqrt a1))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 375.681 * * * * [progress]: [ 501 / 4148 ] simplifiying candidate # 375.682 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) 1)) 375.682 * * [simplify]: iters left: 6 (20 enodes) 375.694 * * [simplify]: iters left: 5 (71 enodes) 375.707 * * [simplify]: iters left: 4 (136 enodes) 375.736 * * [simplify]: iters left: 3 (373 enodes) 375.925 * * [simplify]: Extracting #0: cost 1 inf + 0 375.925 * * [simplify]: Extracting #1: cost 4 inf + 0 375.925 * * [simplify]: Extracting #2: cost 101 inf + 1 375.926 * * [simplify]: Extracting #3: cost 231 inf + 2 375.927 * * [simplify]: Extracting #4: cost 231 inf + 269 375.930 * * [simplify]: Extracting #5: cost 183 inf + 14228 375.941 * * [simplify]: Extracting #6: cost 38 inf + 60889 375.962 * * [simplify]: Extracting #7: cost 0 inf + 74688 375.980 * [simplify]: Simplified to (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) 375.980 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 375.981 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 375.981 * * [simplify]: iters left: 6 (18 enodes) 375.986 * * [simplify]: iters left: 5 (67 enodes) 375.999 * * [simplify]: iters left: 4 (137 enodes) 376.038 * * [simplify]: iters left: 3 (378 enodes) 376.266 * * [simplify]: Extracting #0: cost 1 inf + 0 376.266 * * [simplify]: Extracting #1: cost 8 inf + 0 376.266 * * [simplify]: Extracting #2: cost 15 inf + 1 376.267 * * [simplify]: Extracting #3: cost 104 inf + 2 376.267 * * [simplify]: Extracting #4: cost 230 inf + 2 376.270 * * [simplify]: Extracting #5: cost 167 inf + 17341 376.281 * * [simplify]: Extracting #6: cost 34 inf + 62519 376.301 * * [simplify]: Extracting #7: cost 1 inf + 74763 376.331 * * [simplify]: Extracting #8: cost 0 inf + 74986 376.360 * * [simplify]: Extracting #9: cost 0 inf + 74946 376.390 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 376.390 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 376.390 * * * * [progress]: [ 502 / 4148 ] simplifiying candidate # 376.391 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 376.391 * * [simplify]: iters left: 6 (21 enodes) 376.402 * * [simplify]: iters left: 5 (78 enodes) 376.418 * * [simplify]: iters left: 4 (154 enodes) 376.475 * * [simplify]: iters left: 3 (404 enodes) 376.688 * * [simplify]: Extracting #0: cost 1 inf + 0 376.689 * * [simplify]: Extracting #1: cost 12 inf + 0 376.689 * * [simplify]: Extracting #2: cost 25 inf + 0 376.689 * * [simplify]: Extracting #3: cost 117 inf + 163 376.690 * * [simplify]: Extracting #4: cost 242 inf + 406 376.691 * * [simplify]: Extracting #5: cost 245 inf + 612 376.694 * * [simplify]: Extracting #6: cost 192 inf + 15438 376.706 * * [simplify]: Extracting #7: cost 25 inf + 74172 376.734 * * [simplify]: Extracting #8: cost 0 inf + 82915 376.765 * [simplify]: Simplified to (/ (sqrt (/ (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 376.765 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 376.766 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 376.766 * * [simplify]: iters left: 6 (20 enodes) 376.780 * * [simplify]: iters left: 5 (73 enodes) 376.807 * * [simplify]: iters left: 4 (143 enodes) 376.840 * * [simplify]: iters left: 3 (384 enodes) 377.074 * * [simplify]: Extracting #0: cost 1 inf + 0 377.074 * * [simplify]: Extracting #1: cost 8 inf + 0 377.074 * * [simplify]: Extracting #2: cost 17 inf + 0 377.075 * * [simplify]: Extracting #3: cost 111 inf + 1 377.077 * * [simplify]: Extracting #4: cost 237 inf + 164 377.079 * * [simplify]: Extracting #5: cost 239 inf + 431 377.084 * * [simplify]: Extracting #6: cost 185 inf + 15677 377.107 * * [simplify]: Extracting #7: cost 22 inf + 71326 377.138 * * [simplify]: Extracting #8: cost 0 inf + 79243 377.174 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 377.174 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 377.175 * * * * [progress]: [ 503 / 4148 ] simplifiying candidate # 377.175 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 377.176 * * [simplify]: iters left: 6 (20 enodes) 377.186 * * [simplify]: iters left: 5 (73 enodes) 377.212 * * [simplify]: iters left: 4 (143 enodes) 377.275 * * [simplify]: iters left: 3 (384 enodes) 377.548 * * [simplify]: Extracting #0: cost 1 inf + 0 377.548 * * [simplify]: Extracting #1: cost 8 inf + 0 377.548 * * [simplify]: Extracting #2: cost 17 inf + 0 377.549 * * [simplify]: Extracting #3: cost 111 inf + 1 377.551 * * [simplify]: Extracting #4: cost 237 inf + 84 377.553 * * [simplify]: Extracting #5: cost 239 inf + 351 377.558 * * [simplify]: Extracting #6: cost 185 inf + 15637 377.581 * * [simplify]: Extracting #7: cost 22 inf + 71246 377.616 * * [simplify]: Extracting #8: cost 0 inf + 79243 377.647 * [simplify]: Simplified to (/ (* (sqrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 377.647 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt (/ (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 377.648 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 377.648 * * [simplify]: iters left: 6 (20 enodes) 377.659 * * [simplify]: iters left: 5 (73 enodes) 377.684 * * [simplify]: iters left: 4 (143 enodes) 377.746 * * [simplify]: iters left: 3 (384 enodes) 377.998 * * [simplify]: Extracting #0: cost 1 inf + 0 377.998 * * [simplify]: Extracting #1: cost 8 inf + 0 377.998 * * [simplify]: Extracting #2: cost 17 inf + 0 377.999 * * [simplify]: Extracting #3: cost 111 inf + 1 378.000 * * [simplify]: Extracting #4: cost 237 inf + 84 378.003 * * [simplify]: Extracting #5: cost 239 inf + 351 378.007 * * [simplify]: Extracting #6: cost 185 inf + 15517 378.032 * * [simplify]: Extracting #7: cost 22 inf + 71046 378.066 * * [simplify]: Extracting #8: cost 0 inf + 78923 378.098 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 378.098 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 378.098 * * * * [progress]: [ 504 / 4148 ] simplifiying candidate # 378.098 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 378.099 * * [simplify]: iters left: 6 (19 enodes) 378.109 * * [simplify]: iters left: 5 (68 enodes) 378.126 * * [simplify]: iters left: 4 (135 enodes) 378.166 * * [simplify]: iters left: 3 (374 enodes) 378.383 * * [simplify]: Extracting #0: cost 1 inf + 0 378.383 * * [simplify]: Extracting #1: cost 5 inf + 0 378.383 * * [simplify]: Extracting #2: cost 8 inf + 1 378.383 * * [simplify]: Extracting #3: cost 101 inf + 1 378.384 * * [simplify]: Extracting #4: cost 225 inf + 2 378.385 * * [simplify]: Extracting #5: cost 225 inf + 371 378.388 * * [simplify]: Extracting #6: cost 193 inf + 8694 378.411 * * [simplify]: Extracting #7: cost 49 inf + 56550 378.425 * * [simplify]: Extracting #8: cost 0 inf + 73751 378.443 * * [simplify]: Extracting #9: cost 0 inf + 73711 378.460 * [simplify]: Simplified to (/ (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 378.461 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 378.461 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 378.461 * * [simplify]: iters left: 6 (19 enodes) 378.466 * * [simplify]: iters left: 5 (70 enodes) 378.479 * * [simplify]: iters left: 4 (140 enodes) 378.533 * * [simplify]: iters left: 3 (382 enodes) 378.787 * * [simplify]: Extracting #0: cost 1 inf + 0 378.787 * * [simplify]: Extracting #1: cost 8 inf + 0 378.787 * * [simplify]: Extracting #2: cost 14 inf + 1 378.787 * * [simplify]: Extracting #3: cost 107 inf + 1 378.789 * * [simplify]: Extracting #4: cost 229 inf + 2 378.791 * * [simplify]: Extracting #5: cost 229 inf + 371 378.795 * * [simplify]: Extracting #6: cost 185 inf + 12335 378.816 * * [simplify]: Extracting #7: cost 39 inf + 60657 378.847 * * [simplify]: Extracting #8: cost 0 inf + 75761 378.877 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 378.877 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 378.878 * * * * [progress]: [ 505 / 4148 ] simplifiying candidate # 378.878 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 378.878 * * [simplify]: iters left: 6 (22 enodes) 378.889 * * [simplify]: iters left: 5 (81 enodes) 378.921 * * [simplify]: iters left: 4 (157 enodes) 378.975 * * [simplify]: iters left: 3 (407 enodes) 379.216 * * [simplify]: Extracting #0: cost 1 inf + 0 379.216 * * [simplify]: Extracting #1: cost 12 inf + 0 379.216 * * [simplify]: Extracting #2: cost 25 inf + 0 379.217 * * [simplify]: Extracting #3: cost 117 inf + 163 379.218 * * [simplify]: Extracting #4: cost 245 inf + 285 379.221 * * [simplify]: Extracting #5: cost 245 inf + 775 379.225 * * [simplify]: Extracting #6: cost 211 inf + 9320 379.245 * * [simplify]: Extracting #7: cost 60 inf + 58548 379.276 * * [simplify]: Extracting #8: cost 4 inf + 80368 379.308 * * [simplify]: Extracting #9: cost 1 inf + 82317 379.323 * * [simplify]: Extracting #10: cost 0 inf + 83020 379.339 * [simplify]: Simplified to (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 379.340 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 379.340 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 379.340 * * [simplify]: iters left: 6 (21 enodes) 379.346 * * [simplify]: iters left: 5 (76 enodes) 379.373 * * [simplify]: iters left: 4 (146 enodes) 379.434 * * [simplify]: iters left: 3 (387 enodes) 379.692 * * [simplify]: Extracting #0: cost 1 inf + 0 379.692 * * [simplify]: Extracting #1: cost 8 inf + 0 379.692 * * [simplify]: Extracting #2: cost 17 inf + 0 379.692 * * [simplify]: Extracting #3: cost 108 inf + 163 379.693 * * [simplify]: Extracting #4: cost 231 inf + 164 379.698 * * [simplify]: Extracting #5: cost 232 inf + 431 379.700 * * [simplify]: Extracting #6: cost 181 inf + 14347 379.711 * * [simplify]: Extracting #7: cost 36 inf + 62449 379.726 * * [simplify]: Extracting #8: cost 1 inf + 76062 379.741 * * [simplify]: Extracting #9: cost 0 inf + 76645 379.756 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 379.756 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 379.756 * * * * [progress]: [ 506 / 4148 ] simplifiying candidate # 379.756 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 379.756 * * [simplify]: iters left: 6 (21 enodes) 379.762 * * [simplify]: iters left: 5 (76 enodes) 379.780 * * [simplify]: iters left: 4 (146 enodes) 379.838 * * [simplify]: iters left: 3 (387 enodes) 380.005 * * [simplify]: Extracting #0: cost 1 inf + 0 380.005 * * [simplify]: Extracting #1: cost 8 inf + 0 380.005 * * [simplify]: Extracting #2: cost 17 inf + 0 380.005 * * [simplify]: Extracting #3: cost 108 inf + 83 380.007 * * [simplify]: Extracting #4: cost 231 inf + 84 380.010 * * [simplify]: Extracting #5: cost 232 inf + 351 380.015 * * [simplify]: Extracting #6: cost 181 inf + 14227 380.037 * * [simplify]: Extracting #7: cost 36 inf + 62249 380.066 * * [simplify]: Extracting #8: cost 1 inf + 75782 380.097 * * [simplify]: Extracting #9: cost 0 inf + 76325 380.130 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 380.130 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 380.131 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 380.131 * * [simplify]: iters left: 6 (21 enodes) 380.141 * * [simplify]: iters left: 5 (76 enodes) 380.155 * * [simplify]: iters left: 4 (146 enodes) 380.194 * * [simplify]: iters left: 3 (387 enodes) 380.442 * * [simplify]: Extracting #0: cost 1 inf + 0 380.442 * * [simplify]: Extracting #1: cost 8 inf + 0 380.442 * * [simplify]: Extracting #2: cost 17 inf + 0 380.443 * * [simplify]: Extracting #3: cost 108 inf + 83 380.445 * * [simplify]: Extracting #4: cost 231 inf + 84 380.447 * * [simplify]: Extracting #5: cost 232 inf + 351 380.452 * * [simplify]: Extracting #6: cost 181 inf + 14227 380.467 * * [simplify]: Extracting #7: cost 36 inf + 62249 380.485 * * [simplify]: Extracting #8: cost 1 inf + 75782 380.500 * * [simplify]: Extracting #9: cost 0 inf + 76325 380.520 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 380.520 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 380.521 * * * * [progress]: [ 507 / 4148 ] simplifiying candidate # 380.521 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 380.521 * * [simplify]: iters left: 6 (20 enodes) 380.531 * * [simplify]: iters left: 5 (71 enodes) 380.557 * * [simplify]: iters left: 4 (138 enodes) 380.608 * * [simplify]: iters left: 3 (376 enodes) 380.819 * * [simplify]: Extracting #0: cost 1 inf + 0 380.819 * * [simplify]: Extracting #1: cost 5 inf + 0 380.819 * * [simplify]: Extracting #2: cost 8 inf + 1 380.819 * * [simplify]: Extracting #3: cost 102 inf + 1 380.820 * * [simplify]: Extracting #4: cost 231 inf + 2 380.821 * * [simplify]: Extracting #5: cost 233 inf + 269 380.826 * * [simplify]: Extracting #6: cost 183 inf + 13983 380.837 * * [simplify]: Extracting #7: cost 25 inf + 65675 380.862 * * [simplify]: Extracting #8: cost 0 inf + 74924 380.877 * [simplify]: Simplified to (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (cbrt (sqrt 2))))) 380.877 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1)) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 380.877 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 380.877 * * [simplify]: iters left: 6 (20 enodes) 380.883 * * [simplify]: iters left: 5 (73 enodes) 380.897 * * [simplify]: iters left: 4 (143 enodes) 380.930 * * [simplify]: iters left: 3 (384 enodes) 381.175 * * [simplify]: Extracting #0: cost 1 inf + 0 381.175 * * [simplify]: Extracting #1: cost 8 inf + 0 381.175 * * [simplify]: Extracting #2: cost 14 inf + 1 381.175 * * [simplify]: Extracting #3: cost 110 inf + 1 381.176 * * [simplify]: Extracting #4: cost 239 inf + 2 381.177 * * [simplify]: Extracting #5: cost 241 inf + 269 381.180 * * [simplify]: Extracting #6: cost 186 inf + 15316 381.201 * * [simplify]: Extracting #7: cost 22 inf + 71046 381.233 * * [simplify]: Extracting #8: cost 0 inf + 78923 381.260 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 381.260 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 381.261 * * * * [progress]: [ 508 / 4148 ] simplifiying candidate # 381.261 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 381.261 * * [simplify]: iters left: 6 (21 enodes) 381.267 * * [simplify]: iters left: 5 (78 enodes) 381.281 * * [simplify]: iters left: 4 (155 enodes) 381.321 * * [simplify]: iters left: 3 (408 enodes) 381.533 * * [simplify]: Extracting #0: cost 1 inf + 0 381.534 * * [simplify]: Extracting #1: cost 11 inf + 0 381.534 * * [simplify]: Extracting #2: cost 22 inf + 1 381.534 * * [simplify]: Extracting #3: cost 114 inf + 2 381.536 * * [simplify]: Extracting #4: cost 235 inf + 528 381.539 * * [simplify]: Extracting #5: cost 233 inf + 1201 381.544 * * [simplify]: Extracting #6: cost 183 inf + 14764 381.566 * * [simplify]: Extracting #7: cost 25 inf + 68607 381.597 * * [simplify]: Extracting #8: cost 0 inf + 77369 381.614 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt a1)) (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 381.615 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt a1)) (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 381.615 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 381.615 * * [simplify]: iters left: 6 (19 enodes) 381.623 * * [simplify]: iters left: 5 (70 enodes) 381.637 * * [simplify]: iters left: 4 (140 enodes) 381.693 * * [simplify]: iters left: 3 (382 enodes) 381.942 * * [simplify]: Extracting #0: cost 1 inf + 0 381.942 * * [simplify]: Extracting #1: cost 8 inf + 0 381.942 * * [simplify]: Extracting #2: cost 19 inf + 0 381.942 * * [simplify]: Extracting #3: cost 107 inf + 164 381.943 * * [simplify]: Extracting #4: cost 229 inf + 286 381.945 * * [simplify]: Extracting #5: cost 189 inf + 10486 381.956 * * [simplify]: Extracting #6: cost 42 inf + 58690 381.987 * * [simplify]: Extracting #7: cost 0 inf + 75483 382.021 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 382.021 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 382.021 * * * * [progress]: [ 509 / 4148 ] simplifiying candidate # 382.022 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (sqrt a1))) 382.022 * * [simplify]: iters left: 6 (20 enodes) 382.033 * * [simplify]: iters left: 5 (73 enodes) 382.060 * * [simplify]: iters left: 4 (141 enodes) 382.120 * * [simplify]: iters left: 3 (382 enodes) 382.393 * * [simplify]: Extracting #0: cost 1 inf + 0 382.393 * * [simplify]: Extracting #1: cost 6 inf + 0 382.393 * * [simplify]: Extracting #2: cost 10 inf + 1 382.393 * * [simplify]: Extracting #3: cost 104 inf + 2 382.394 * * [simplify]: Extracting #4: cost 225 inf + 166 382.395 * * [simplify]: Extracting #5: cost 225 inf + 515 382.397 * * [simplify]: Extracting #6: cost 184 inf + 11193 382.408 * * [simplify]: Extracting #7: cost 27 inf + 63594 382.426 * * [simplify]: Extracting #8: cost 0 inf + 73578 382.455 * [simplify]: Simplified to (* (sqrt (/ (* a1 (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt a1)) 382.455 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt a1)) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 382.456 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 382.456 * * [simplify]: iters left: 6 (19 enodes) 382.466 * * [simplify]: iters left: 5 (70 enodes) 382.490 * * [simplify]: iters left: 4 (140 enodes) 382.525 * * [simplify]: iters left: 3 (382 enodes) 382.774 * * [simplify]: Extracting #0: cost 1 inf + 0 382.774 * * [simplify]: Extracting #1: cost 8 inf + 0 382.774 * * [simplify]: Extracting #2: cost 19 inf + 0 382.774 * * [simplify]: Extracting #3: cost 107 inf + 84 382.775 * * [simplify]: Extracting #4: cost 229 inf + 166 382.777 * * [simplify]: Extracting #5: cost 189 inf + 10326 382.787 * * [simplify]: Extracting #6: cost 42 inf + 58410 382.805 * * [simplify]: Extracting #7: cost 0 inf + 75123 382.820 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 382.820 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (sqrt a1))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 382.820 * * * * [progress]: [ 510 / 4148 ] simplifiying candidate # 382.820 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) 1)) 382.821 * * [simplify]: iters left: 6 (19 enodes) 382.827 * * [simplify]: iters left: 5 (68 enodes) 382.850 * * [simplify]: iters left: 4 (133 enodes) 382.884 * * [simplify]: iters left: 3 (371 enodes) 383.186 * * [simplify]: Extracting #0: cost 1 inf + 0 383.187 * * [simplify]: Extracting #1: cost 4 inf + 0 383.187 * * [simplify]: Extracting #2: cost 95 inf + 1 383.189 * * [simplify]: Extracting #3: cost 218 inf + 2 383.191 * * [simplify]: Extracting #4: cost 218 inf + 371 383.196 * * [simplify]: Extracting #5: cost 172 inf + 12824 383.219 * * [simplify]: Extracting #6: cost 22 inf + 62660 383.233 * * [simplify]: Extracting #7: cost 0 inf + 70673 383.249 * [simplify]: Simplified to (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 383.249 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 383.250 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 383.250 * * [simplify]: iters left: 6 (18 enodes) 383.259 * * [simplify]: iters left: 5 (67 enodes) 383.284 * * [simplify]: iters left: 4 (137 enodes) 383.346 * * [simplify]: iters left: 3 (378 enodes) 383.548 * * [simplify]: Extracting #0: cost 1 inf + 0 383.548 * * [simplify]: Extracting #1: cost 8 inf + 0 383.549 * * [simplify]: Extracting #2: cost 15 inf + 1 383.549 * * [simplify]: Extracting #3: cost 104 inf + 2 383.551 * * [simplify]: Extracting #4: cost 230 inf + 2 383.560 * * [simplify]: Extracting #5: cost 167 inf + 17341 383.583 * * [simplify]: Extracting #6: cost 34 inf + 62519 383.613 * * [simplify]: Extracting #7: cost 1 inf + 74763 383.628 * * [simplify]: Extracting #8: cost 0 inf + 74986 383.648 * * [simplify]: Extracting #9: cost 0 inf + 74946 383.678 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 383.678 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) 1)) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 383.678 * * * * [progress]: [ 511 / 4148 ] simplifiying candidate # 383.679 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 383.679 * * [simplify]: iters left: 6 (22 enodes) 383.690 * * [simplify]: iters left: 5 (85 enodes) 383.719 * * [simplify]: iters left: 4 (179 enodes) 383.766 * * [simplify]: iters left: 3 (454 enodes) 384.030 * * [simplify]: Extracting #0: cost 1 inf + 0 384.030 * * [simplify]: Extracting #1: cost 19 inf + 0 384.030 * * [simplify]: Extracting #2: cost 42 inf + 0 384.030 * * [simplify]: Extracting #3: cost 137 inf + 82 384.031 * * [simplify]: Extracting #4: cost 262 inf + 406 384.033 * * [simplify]: Extracting #5: cost 262 inf + 775 384.035 * * [simplify]: Extracting #6: cost 228 inf + 9095 384.049 * * [simplify]: Extracting #7: cost 55 inf + 68881 384.073 * * [simplify]: Extracting #8: cost 3 inf + 90774 384.092 * * [simplify]: Extracting #9: cost 0 inf + 92723 384.115 * [simplify]: Simplified to (/ (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 384.115 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 384.115 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 384.115 * * [simplify]: iters left: 6 (20 enodes) 384.121 * * [simplify]: iters left: 5 (73 enodes) 384.134 * * [simplify]: iters left: 4 (143 enodes) 384.173 * * [simplify]: iters left: 3 (384 enodes) 384.406 * * [simplify]: Extracting #0: cost 1 inf + 0 384.406 * * [simplify]: Extracting #1: cost 8 inf + 0 384.406 * * [simplify]: Extracting #2: cost 17 inf + 0 384.406 * * [simplify]: Extracting #3: cost 111 inf + 1 384.408 * * [simplify]: Extracting #4: cost 237 inf + 164 384.410 * * [simplify]: Extracting #5: cost 239 inf + 431 384.414 * * [simplify]: Extracting #6: cost 185 inf + 15677 384.426 * * [simplify]: Extracting #7: cost 22 inf + 71326 384.441 * * [simplify]: Extracting #8: cost 0 inf + 79243 384.468 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 384.468 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 384.468 * * * * [progress]: [ 512 / 4148 ] simplifiying candidate # 384.469 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 384.469 * * [simplify]: iters left: 6 (21 enodes) 384.480 * * [simplify]: iters left: 5 (78 enodes) 384.511 * * [simplify]: iters left: 4 (155 enodes) 384.564 * * [simplify]: iters left: 3 (411 enodes) 384.829 * * [simplify]: Extracting #0: cost 1 inf + 0 384.829 * * [simplify]: Extracting #1: cost 12 inf + 0 384.829 * * [simplify]: Extracting #2: cost 27 inf + 0 384.829 * * [simplify]: Extracting #3: cost 118 inf + 83 384.830 * * [simplify]: Extracting #4: cost 242 inf + 84 384.831 * * [simplify]: Extracting #5: cost 244 inf + 290 384.833 * * [simplify]: Extracting #6: cost 200 inf + 11472 384.844 * * [simplify]: Extracting #7: cost 44 inf + 63862 384.867 * * [simplify]: Extracting #8: cost 2 inf + 80810 384.902 * * [simplify]: Extracting #9: cost 0 inf + 82016 384.918 * [simplify]: Simplified to (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) 384.918 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* a1 (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 384.919 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 384.919 * * [simplify]: iters left: 6 (20 enodes) 384.926 * * [simplify]: iters left: 5 (73 enodes) 384.952 * * [simplify]: iters left: 4 (143 enodes) 384.989 * * [simplify]: iters left: 3 (384 enodes) 385.235 * * [simplify]: Extracting #0: cost 1 inf + 0 385.235 * * [simplify]: Extracting #1: cost 8 inf + 0 385.235 * * [simplify]: Extracting #2: cost 17 inf + 0 385.235 * * [simplify]: Extracting #3: cost 111 inf + 1 385.237 * * [simplify]: Extracting #4: cost 237 inf + 84 385.239 * * [simplify]: Extracting #5: cost 239 inf + 351 385.244 * * [simplify]: Extracting #6: cost 185 inf + 15517 385.260 * * [simplify]: Extracting #7: cost 22 inf + 71046 385.278 * * [simplify]: Extracting #8: cost 0 inf + 78923 385.307 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 385.307 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 385.307 * * * * [progress]: [ 513 / 4148 ] simplifiying candidate # 385.308 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 385.308 * * [simplify]: iters left: 6 (20 enodes) 385.316 * * [simplify]: iters left: 5 (73 enodes) 385.330 * * [simplify]: iters left: 4 (150 enodes) 385.379 * * [simplify]: iters left: 3 (399 enodes) 385.597 * * [simplify]: Extracting #0: cost 1 inf + 0 385.597 * * [simplify]: Extracting #1: cost 8 inf + 0 385.597 * * [simplify]: Extracting #2: cost 15 inf + 1 385.598 * * [simplify]: Extracting #3: cost 108 inf + 1 385.598 * * [simplify]: Extracting #4: cost 234 inf + 2 385.600 * * [simplify]: Extracting #5: cost 236 inf + 269 385.605 * * [simplify]: Extracting #6: cost 188 inf + 13664 385.626 * * [simplify]: Extracting #7: cost 20 inf + 70203 385.657 * * [simplify]: Extracting #8: cost 0 inf + 77351 385.688 * [simplify]: Simplified to (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) 385.688 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 385.689 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 385.689 * * [simplify]: iters left: 6 (19 enodes) 385.699 * * [simplify]: iters left: 5 (70 enodes) 385.719 * * [simplify]: iters left: 4 (140 enodes) 385.752 * * [simplify]: iters left: 3 (382 enodes) 385.970 * * [simplify]: Extracting #0: cost 1 inf + 0 385.970 * * [simplify]: Extracting #1: cost 8 inf + 0 385.970 * * [simplify]: Extracting #2: cost 14 inf + 1 385.970 * * [simplify]: Extracting #3: cost 107 inf + 1 385.972 * * [simplify]: Extracting #4: cost 229 inf + 2 385.974 * * [simplify]: Extracting #5: cost 229 inf + 371 385.979 * * [simplify]: Extracting #6: cost 185 inf + 12335 385.990 * * [simplify]: Extracting #7: cost 39 inf + 60657 386.005 * * [simplify]: Extracting #8: cost 0 inf + 75761 386.020 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 386.020 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 386.020 * * * * [progress]: [ 514 / 4148 ] simplifiying candidate # 386.021 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 386.021 * * [simplify]: iters left: 6 (21 enodes) 386.026 * * [simplify]: iters left: 5 (78 enodes) 386.040 * * [simplify]: iters left: 4 (154 enodes) 386.082 * * [simplify]: iters left: 3 (404 enodes) 386.288 * * [simplify]: Extracting #0: cost 1 inf + 0 386.288 * * [simplify]: Extracting #1: cost 12 inf + 0 386.288 * * [simplify]: Extracting #2: cost 25 inf + 0 386.288 * * [simplify]: Extracting #3: cost 117 inf + 163 386.289 * * [simplify]: Extracting #4: cost 242 inf + 406 386.290 * * [simplify]: Extracting #5: cost 245 inf + 612 386.293 * * [simplify]: Extracting #6: cost 192 inf + 15158 386.305 * * [simplify]: Extracting #7: cost 26 inf + 73130 386.330 * * [simplify]: Extracting #8: cost 0 inf + 81995 386.353 * * [simplify]: Extracting #9: cost 0 inf + 81955 386.372 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 386.372 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (cos th) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 386.372 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 386.372 * * [simplify]: iters left: 6 (20 enodes) 386.378 * * [simplify]: iters left: 5 (73 enodes) 386.400 * * [simplify]: iters left: 4 (143 enodes) 386.437 * * [simplify]: iters left: 3 (384 enodes) 386.671 * * [simplify]: Extracting #0: cost 1 inf + 0 386.671 * * [simplify]: Extracting #1: cost 8 inf + 0 386.671 * * [simplify]: Extracting #2: cost 17 inf + 0 386.671 * * [simplify]: Extracting #3: cost 111 inf + 1 386.673 * * [simplify]: Extracting #4: cost 237 inf + 164 386.675 * * [simplify]: Extracting #5: cost 239 inf + 431 386.680 * * [simplify]: Extracting #6: cost 185 inf + 15557 386.703 * * [simplify]: Extracting #7: cost 22 inf + 71046 386.739 * * [simplify]: Extracting #8: cost 0 inf + 78923 386.767 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 386.767 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 386.768 * * * * [progress]: [ 515 / 4148 ] simplifiying candidate # 386.768 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 386.768 * * [simplify]: iters left: 6 (20 enodes) 386.773 * * [simplify]: iters left: 5 (73 enodes) 386.786 * * [simplify]: iters left: 4 (143 enodes) 386.839 * * [simplify]: iters left: 3 (384 enodes) 387.067 * * [simplify]: Extracting #0: cost 1 inf + 0 387.067 * * [simplify]: Extracting #1: cost 8 inf + 0 387.067 * * [simplify]: Extracting #2: cost 17 inf + 0 387.068 * * [simplify]: Extracting #3: cost 111 inf + 1 387.070 * * [simplify]: Extracting #4: cost 237 inf + 84 387.072 * * [simplify]: Extracting #5: cost 239 inf + 351 387.077 * * [simplify]: Extracting #6: cost 185 inf + 15397 387.095 * * [simplify]: Extracting #7: cost 22 inf + 70766 387.111 * * [simplify]: Extracting #8: cost 0 inf + 78603 387.139 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 387.139 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 387.140 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 387.140 * * [simplify]: iters left: 6 (20 enodes) 387.151 * * [simplify]: iters left: 5 (73 enodes) 387.177 * * [simplify]: iters left: 4 (143 enodes) 387.217 * * [simplify]: iters left: 3 (384 enodes) 387.425 * * [simplify]: Extracting #0: cost 1 inf + 0 387.425 * * [simplify]: Extracting #1: cost 8 inf + 0 387.425 * * [simplify]: Extracting #2: cost 17 inf + 0 387.426 * * [simplify]: Extracting #3: cost 111 inf + 1 387.428 * * [simplify]: Extracting #4: cost 237 inf + 84 387.434 * * [simplify]: Extracting #5: cost 239 inf + 351 387.436 * * [simplify]: Extracting #6: cost 185 inf + 15397 387.448 * * [simplify]: Extracting #7: cost 22 inf + 70766 387.465 * * [simplify]: Extracting #8: cost 0 inf + 78603 387.488 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 387.488 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 387.489 * * * * [progress]: [ 516 / 4148 ] simplifiying candidate # 387.489 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 387.489 * * [simplify]: iters left: 6 (19 enodes) 387.494 * * [simplify]: iters left: 5 (68 enodes) 387.507 * * [simplify]: iters left: 4 (135 enodes) 387.538 * * [simplify]: iters left: 3 (374 enodes) 387.788 * * [simplify]: Extracting #0: cost 1 inf + 0 387.788 * * [simplify]: Extracting #1: cost 5 inf + 0 387.788 * * [simplify]: Extracting #2: cost 8 inf + 1 387.788 * * [simplify]: Extracting #3: cost 101 inf + 1 387.789 * * [simplify]: Extracting #4: cost 225 inf + 2 387.791 * * [simplify]: Extracting #5: cost 225 inf + 371 387.792 * * [simplify]: Extracting #6: cost 195 inf + 7807 387.802 * * [simplify]: Extracting #7: cost 50 inf + 56009 387.816 * * [simplify]: Extracting #8: cost 0 inf + 73431 387.845 * * [simplify]: Extracting #9: cost 0 inf + 73391 387.874 * [simplify]: Simplified to (/ (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) 387.874 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (* (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 387.874 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 387.875 * * [simplify]: iters left: 6 (19 enodes) 387.884 * * [simplify]: iters left: 5 (70 enodes) 387.913 * * [simplify]: iters left: 4 (140 enodes) 387.959 * * [simplify]: iters left: 3 (382 enodes) 388.188 * * [simplify]: Extracting #0: cost 1 inf + 0 388.188 * * [simplify]: Extracting #1: cost 8 inf + 0 388.188 * * [simplify]: Extracting #2: cost 14 inf + 1 388.188 * * [simplify]: Extracting #3: cost 107 inf + 1 388.190 * * [simplify]: Extracting #4: cost 229 inf + 2 388.192 * * [simplify]: Extracting #5: cost 229 inf + 371 388.196 * * [simplify]: Extracting #6: cost 185 inf + 12215 388.217 * * [simplify]: Extracting #7: cost 39 inf + 60417 388.246 * * [simplify]: Extracting #8: cost 0 inf + 75441 388.275 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 388.275 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 388.275 * * * * [progress]: [ 517 / 4148 ] simplifiying candidate # 388.275 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 388.275 * * [simplify]: iters left: 6 (20 enodes) 388.283 * * [simplify]: iters left: 5 (75 enodes) 388.298 * * [simplify]: iters left: 4 (147 enodes) 388.338 * * [simplify]: iters left: 3 (397 enodes) 388.623 * * [simplify]: Extracting #0: cost 1 inf + 0 388.623 * * [simplify]: Extracting #1: cost 10 inf + 0 388.623 * * [simplify]: Extracting #2: cost 18 inf + 1 388.623 * * [simplify]: Extracting #3: cost 110 inf + 205 388.624 * * [simplify]: Extracting #4: cost 231 inf + 974 388.625 * * [simplify]: Extracting #5: cost 231 inf + 1343 388.627 * * [simplify]: Extracting #6: cost 190 inf + 12160 388.638 * * [simplify]: Extracting #7: cost 38 inf + 62742 388.664 * * [simplify]: Extracting #8: cost 0 inf + 77666 388.694 * * [simplify]: Extracting #9: cost 0 inf + 77626 388.724 * [simplify]: Simplified to (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) 388.725 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (* a1 (cos th)) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 388.725 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 388.726 * * [simplify]: iters left: 6 (19 enodes) 388.735 * * [simplify]: iters left: 5 (70 enodes) 388.754 * * [simplify]: iters left: 4 (140 enodes) 388.790 * * [simplify]: iters left: 3 (382 enodes) 389.025 * * [simplify]: Extracting #0: cost 1 inf + 0 389.025 * * [simplify]: Extracting #1: cost 8 inf + 0 389.025 * * [simplify]: Extracting #2: cost 19 inf + 0 389.025 * * [simplify]: Extracting #3: cost 107 inf + 164 389.027 * * [simplify]: Extracting #4: cost 229 inf + 286 389.035 * * [simplify]: Extracting #5: cost 189 inf + 10486 389.055 * * [simplify]: Extracting #6: cost 42 inf + 58690 389.085 * * [simplify]: Extracting #7: cost 0 inf + 75483 389.114 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 389.115 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 389.115 * * * * [progress]: [ 518 / 4148 ] simplifiying candidate # 389.115 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (sqrt a1))) 389.116 * * [simplify]: iters left: 6 (19 enodes) 389.122 * * [simplify]: iters left: 5 (70 enodes) 389.135 * * [simplify]: iters left: 4 (136 enodes) 389.194 * * [simplify]: iters left: 3 (378 enodes) 389.441 * * [simplify]: Extracting #0: cost 1 inf + 0 389.441 * * [simplify]: Extracting #1: cost 6 inf + 0 389.441 * * [simplify]: Extracting #2: cost 10 inf + 1 389.442 * * [simplify]: Extracting #3: cost 101 inf + 43 389.444 * * [simplify]: Extracting #4: cost 225 inf + 248 389.446 * * [simplify]: Extracting #5: cost 226 inf + 617 389.451 * * [simplify]: Extracting #6: cost 185 inf + 10995 389.474 * * [simplify]: Extracting #7: cost 26 inf + 64389 389.504 * * [simplify]: Extracting #8: cost 0 inf + 74078 389.533 * [simplify]: Simplified to (* (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (sqrt a1)) 389.533 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (sqrt a1)) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 389.533 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 389.534 * * [simplify]: iters left: 6 (19 enodes) 389.543 * * [simplify]: iters left: 5 (70 enodes) 389.568 * * [simplify]: iters left: 4 (140 enodes) 389.622 * * [simplify]: iters left: 3 (382 enodes) 389.858 * * [simplify]: Extracting #0: cost 1 inf + 0 389.858 * * [simplify]: Extracting #1: cost 8 inf + 0 389.858 * * [simplify]: Extracting #2: cost 19 inf + 0 389.858 * * [simplify]: Extracting #3: cost 107 inf + 84 389.860 * * [simplify]: Extracting #4: cost 229 inf + 166 389.862 * * [simplify]: Extracting #5: cost 189 inf + 10326 389.871 * * [simplify]: Extracting #6: cost 42 inf + 58410 389.887 * * [simplify]: Extracting #7: cost 0 inf + 75123 389.903 * [simplify]: Simplified to (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 389.903 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (sqrt a1))) (/ (sqrt (* (cos th) (/ a1 (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 389.903 * * * * [progress]: [ 519 / 4148 ] simplifiying candidate # 389.903 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 1)) 389.904 * * [simplify]: iters left: 6 (18 enodes) 389.908 * * [simplify]: iters left: 5 (63 enodes) 389.923 * * [simplify]: iters left: 4 (128 enodes) 389.958 * * [simplify]: iters left: 3 (366 enodes) 390.155 * * [simplify]: Extracting #0: cost 1 inf + 0 390.155 * * [simplify]: Extracting #1: cost 4 inf + 0 390.155 * * [simplify]: Extracting #2: cost 98 inf + 1 390.156 * * [simplify]: Extracting #3: cost 224 inf + 2 390.158 * * [simplify]: Extracting #4: cost 225 inf + 371 390.160 * * [simplify]: Extracting #5: cost 191 inf + 9091 390.176 * * [simplify]: Extracting #6: cost 32 inf + 62267 390.199 * * [simplify]: Extracting #7: cost 0 inf + 73109 390.214 * [simplify]: Simplified to (sqrt (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1))) 390.214 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) a1))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 390.214 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 390.215 * * [simplify]: iters left: 6 (18 enodes) 390.219 * * [simplify]: iters left: 5 (67 enodes) 390.247 * * [simplify]: iters left: 4 (137 enodes) 390.309 * * [simplify]: iters left: 3 (378 enodes) 390.585 * * [simplify]: Extracting #0: cost 1 inf + 0 390.585 * * [simplify]: Extracting #1: cost 8 inf + 0 390.585 * * [simplify]: Extracting #2: cost 15 inf + 1 390.585 * * [simplify]: Extracting #3: cost 104 inf + 2 390.587 * * [simplify]: Extracting #4: cost 230 inf + 2 390.592 * * [simplify]: Extracting #5: cost 167 inf + 17341 390.615 * * [simplify]: Extracting #6: cost 34 inf + 62519 390.645 * * [simplify]: Extracting #7: cost 1 inf + 74763 390.674 * * [simplify]: Extracting #8: cost 0 inf + 74986 390.708 * * [simplify]: Extracting #9: cost 0 inf + 74946 390.738 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 390.738 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 1)) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 390.738 * * * * [progress]: [ 520 / 4148 ] simplifiying candidate # 390.739 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 1) 390.739 * * [simplify]: iters left: 6 (17 enodes) 390.748 * * [simplify]: iters left: 5 (60 enodes) 390.762 * * [simplify]: iters left: 4 (125 enodes) 390.793 * * [simplify]: iters left: 3 (363 enodes) 391.035 * * [simplify]: Extracting #0: cost 1 inf + 0 391.035 * * [simplify]: Extracting #1: cost 4 inf + 0 391.035 * * [simplify]: Extracting #2: cost 98 inf + 1 391.037 * * [simplify]: Extracting #3: cost 223 inf + 2 391.039 * * [simplify]: Extracting #4: cost 224 inf + 371 391.044 * * [simplify]: Extracting #5: cost 166 inf + 16945 391.065 * * [simplify]: Extracting #6: cost 30 inf + 62291 391.088 * * [simplify]: Extracting #7: cost 0 inf + 72805 391.102 * * [simplify]: Extracting #8: cost 0 inf + 72765 391.128 * [simplify]: Simplified to (sqrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) 391.128 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 391.129 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 391.129 * * [simplify]: iters left: 6 (18 enodes) 391.137 * * [simplify]: iters left: 5 (67 enodes) 391.149 * * [simplify]: iters left: 4 (137 enodes) 391.182 * * [simplify]: iters left: 3 (378 enodes) 391.400 * * [simplify]: Extracting #0: cost 1 inf + 0 391.400 * * [simplify]: Extracting #1: cost 8 inf + 0 391.400 * * [simplify]: Extracting #2: cost 15 inf + 1 391.400 * * [simplify]: Extracting #3: cost 104 inf + 2 391.401 * * [simplify]: Extracting #4: cost 230 inf + 2 391.404 * * [simplify]: Extracting #5: cost 167 inf + 17341 391.415 * * [simplify]: Extracting #6: cost 34 inf + 62519 391.434 * * [simplify]: Extracting #7: cost 1 inf + 74763 391.465 * * [simplify]: Extracting #8: cost 0 inf + 74986 391.495 * * [simplify]: Extracting #9: cost 0 inf + 74946 391.516 * [simplify]: Simplified to (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1)) 391.516 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 1) (/ (sqrt (/ a1 (/ (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 391.516 * * * * [progress]: [ 521 / 4148 ] simplifiying candidate # 391.516 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (cbrt (sqrt 2)))) 391.516 * * [simplify]: iters left: 6 (17 enodes) 391.523 * * [simplify]: iters left: 5 (62 enodes) 391.536 * * [simplify]: iters left: 4 (127 enodes) 391.593 * * [simplify]: iters left: 3 (365 enodes) 391.829 * * [simplify]: Extracting #0: cost 1 inf + 0 391.829 * * [simplify]: Extracting #1: cost 5 inf + 0 391.829 * * [simplify]: Extracting #2: cost 8 inf + 1 391.829 * * [simplify]: Extracting #3: cost 101 inf + 1 391.831 * * [simplify]: Extracting #4: cost 224 inf + 2 391.835 * * [simplify]: Extracting #5: cost 176 inf + 12526 391.858 * * [simplify]: Extracting #6: cost 26 inf + 62923 391.887 * * [simplify]: Extracting #7: cost 0 inf + 72365 391.920 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (cbrt (sqrt 2)))) 391.920 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (cos th) (* (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2))))) a1)) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 391.920 * [simplify]: Simplifying (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1)) 391.921 * * [simplify]: iters left: 6 (18 enodes) 391.930 * * [simplify]: iters left: 5 (67 enodes) 391.951 * * [simplify]: iters left: 4 (133 enodes) 391.981 * * [simplify]: iters left: 3 (375 enodes) 392.206 * * [simplify]: Extracting #0: cost 1 inf + 0 392.206 * * [simplify]: Extracting #1: cost 6 inf + 0 392.207 * * [simplify]: Extracting #2: cost 6 inf + 44 392.207 * * [simplify]: Extracting #3: cost 103 inf + 86 392.209 * * [simplify]: Extracting #4: cost 232 inf + 86 392.211 * * [simplify]: Extracting #5: cost 232 inf + 353 392.214 * * [simplify]: Extracting #6: cost 187 inf + 12178 392.226 * * [simplify]: Extracting #7: cost 31 inf + 64095 392.244 * * [simplify]: Extracting #8: cost 0 inf + 75316 392.259 * [simplify]: Simplified to (* (sqrt (* (cos th) (/ (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) a1) 392.259 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (cbrt (sqrt 2)))) (* (sqrt (* (cos th) (/ (/ a1 (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 392.259 * * * * [progress]: [ 522 / 4148 ] simplifiying candidate # 392.260 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 392.260 * * [simplify]: iters left: 6 (23 enodes) 392.266 * * [simplify]: iters left: 5 (86 enodes) 392.281 * * [simplify]: iters left: 4 (168 enodes) 392.330 * * [simplify]: iters left: 3 (325 enodes) 392.455 * * [simplify]: Extracting #0: cost 1 inf + 0 392.455 * * [simplify]: Extracting #1: cost 46 inf + 0 392.456 * * [simplify]: Extracting #2: cost 86 inf + 0 392.457 * * [simplify]: Extracting #3: cost 109 inf + 0 392.457 * * [simplify]: Extracting #4: cost 128 inf + 2 392.458 * * [simplify]: Extracting #5: cost 126 inf + 371 392.459 * * [simplify]: Extracting #6: cost 120 inf + 1018 392.463 * * [simplify]: Extracting #7: cost 76 inf + 16479 392.480 * * [simplify]: Extracting #8: cost 24 inf + 48454 392.493 * * [simplify]: Extracting #9: cost 1 inf + 65200 392.507 * * [simplify]: Extracting #10: cost 0 inf + 65983 392.532 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))))) 392.532 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 392.533 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 392.533 * * [simplify]: iters left: 6 (20 enodes) 392.543 * * [simplify]: iters left: 5 (69 enodes) 392.566 * * [simplify]: iters left: 4 (111 enodes) 392.592 * * [simplify]: iters left: 3 (168 enodes) 392.627 * * [simplify]: iters left: 2 (217 enodes) 392.675 * * [simplify]: iters left: 1 (280 enodes) 392.773 * * [simplify]: Extracting #0: cost 1 inf + 0 392.773 * * [simplify]: Extracting #1: cost 8 inf + 0 392.773 * * [simplify]: Extracting #2: cost 17 inf + 0 392.773 * * [simplify]: Extracting #3: cost 41 inf + 0 392.774 * * [simplify]: Extracting #4: cost 60 inf + 2 392.774 * * [simplify]: Extracting #5: cost 60 inf + 64 392.775 * * [simplify]: Extracting #6: cost 49 inf + 1443 392.777 * * [simplify]: Extracting #7: cost 15 inf + 10194 392.782 * * [simplify]: Extracting #8: cost 4 inf + 13615 392.788 * * [simplify]: Extracting #9: cost 0 inf + 16286 392.793 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 392.793 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 392.794 * * * * [progress]: [ 523 / 4148 ] simplifiying candidate # 392.794 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 392.795 * * [simplify]: iters left: 6 (22 enodes) 392.806 * * [simplify]: iters left: 5 (81 enodes) 392.826 * * [simplify]: iters left: 4 (149 enodes) 392.853 * * [simplify]: iters left: 3 (249 enodes) 392.903 * * [simplify]: iters left: 2 (347 enodes) 392.998 * * [simplify]: iters left: 1 (421 enodes) 393.106 * * [simplify]: Extracting #0: cost 1 inf + 0 393.106 * * [simplify]: Extracting #1: cost 23 inf + 0 393.106 * * [simplify]: Extracting #2: cost 47 inf + 0 393.106 * * [simplify]: Extracting #3: cost 71 inf + 0 393.107 * * [simplify]: Extracting #4: cost 91 inf + 2 393.107 * * [simplify]: Extracting #5: cost 89 inf + 268 393.107 * * [simplify]: Extracting #6: cost 84 inf + 654 393.110 * * [simplify]: Extracting #7: cost 50 inf + 8338 393.114 * * [simplify]: Extracting #8: cost 22 inf + 20989 393.120 * * [simplify]: Extracting #9: cost 1 inf + 34709 393.127 * * [simplify]: Extracting #10: cost 0 inf + 35412 393.139 * [simplify]: Simplified to (/ (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 393.139 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 393.140 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 393.140 * * [simplify]: iters left: 6 (20 enodes) 393.150 * * [simplify]: iters left: 5 (69 enodes) 393.170 * * [simplify]: iters left: 4 (111 enodes) 393.188 * * [simplify]: iters left: 3 (168 enodes) 393.226 * * [simplify]: iters left: 2 (217 enodes) 393.279 * * [simplify]: iters left: 1 (280 enodes) 393.401 * * [simplify]: Extracting #0: cost 1 inf + 0 393.401 * * [simplify]: Extracting #1: cost 8 inf + 0 393.401 * * [simplify]: Extracting #2: cost 17 inf + 0 393.402 * * [simplify]: Extracting #3: cost 41 inf + 0 393.402 * * [simplify]: Extracting #4: cost 60 inf + 2 393.402 * * [simplify]: Extracting #5: cost 60 inf + 64 393.403 * * [simplify]: Extracting #6: cost 49 inf + 1443 393.408 * * [simplify]: Extracting #7: cost 15 inf + 10194 393.413 * * [simplify]: Extracting #8: cost 4 inf + 13455 393.418 * * [simplify]: Extracting #9: cost 0 inf + 15966 393.423 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 393.423 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 393.423 * * * * [progress]: [ 524 / 4148 ] simplifiying candidate # 393.423 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 393.424 * * [simplify]: iters left: 6 (25 enodes) 393.430 * * [simplify]: iters left: 5 (94 enodes) 393.446 * * [simplify]: iters left: 4 (184 enodes) 393.481 * * [simplify]: iters left: 3 (397 enodes) 394.123 * * [simplify]: Extracting #0: cost 1 inf + 0 394.124 * * [simplify]: Extracting #1: cost 93 inf + 0 394.124 * * [simplify]: Extracting #2: cost 198 inf + 0 394.125 * * [simplify]: Extracting #3: cost 215 inf + 203 394.131 * * [simplify]: Extracting #4: cost 231 inf + 448 394.133 * * [simplify]: Extracting #5: cost 230 inf + 775 394.137 * * [simplify]: Extracting #6: cost 195 inf + 13083 394.169 * * [simplify]: Extracting #7: cost 50 inf + 113130 394.228 * * [simplify]: Extracting #8: cost 1 inf + 152286 394.290 * * [simplify]: Extracting #9: cost 0 inf + 152989 394.323 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)))) 394.323 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 394.324 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 394.324 * * [simplify]: iters left: 6 (21 enodes) 394.334 * * [simplify]: iters left: 5 (74 enodes) 394.358 * * [simplify]: iters left: 4 (124 enodes) 394.398 * * [simplify]: iters left: 3 (199 enodes) 394.459 * * [simplify]: iters left: 2 (266 enodes) 394.548 * * [simplify]: iters left: 1 (348 enodes) 394.675 * * [simplify]: Extracting #0: cost 1 inf + 0 394.676 * * [simplify]: Extracting #1: cost 21 inf + 0 394.676 * * [simplify]: Extracting #2: cost 44 inf + 0 394.676 * * [simplify]: Extracting #3: cost 65 inf + 82 394.677 * * [simplify]: Extracting #4: cost 83 inf + 164 394.677 * * [simplify]: Extracting #5: cost 83 inf + 226 394.678 * * [simplify]: Extracting #6: cost 73 inf + 1522 394.681 * * [simplify]: Extracting #7: cost 38 inf + 10071 394.689 * * [simplify]: Extracting #8: cost 5 inf + 27232 394.699 * * [simplify]: Extracting #9: cost 0 inf + 30163 394.709 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 394.709 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 394.709 * * * * [progress]: [ 525 / 4148 ] simplifiying candidate # 394.710 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 394.710 * * [simplify]: iters left: 6 (24 enodes) 394.720 * * [simplify]: iters left: 5 (89 enodes) 394.735 * * [simplify]: iters left: 4 (171 enodes) 394.781 * * [simplify]: iters left: 3 (341 enodes) 394.910 * * [simplify]: Extracting #0: cost 1 inf + 0 394.910 * * [simplify]: Extracting #1: cost 68 inf + 0 394.911 * * [simplify]: Extracting #2: cost 123 inf + 0 394.912 * * [simplify]: Extracting #3: cost 141 inf + 42 394.913 * * [simplify]: Extracting #4: cost 159 inf + 84 394.914 * * [simplify]: Extracting #5: cost 159 inf + 290 394.916 * * [simplify]: Extracting #6: cost 149 inf + 1465 394.920 * * [simplify]: Extracting #7: cost 105 inf + 16780 394.946 * * [simplify]: Extracting #8: cost 33 inf + 65713 394.983 * * [simplify]: Extracting #9: cost 0 inf + 91423 395.020 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 395.020 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 395.021 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 395.021 * * [simplify]: iters left: 6 (21 enodes) 395.031 * * [simplify]: iters left: 5 (74 enodes) 395.044 * * [simplify]: iters left: 4 (124 enodes) 395.072 * * [simplify]: iters left: 3 (199 enodes) 395.112 * * [simplify]: iters left: 2 (266 enodes) 395.178 * * [simplify]: iters left: 1 (348 enodes) 395.303 * * [simplify]: Extracting #0: cost 1 inf + 0 395.303 * * [simplify]: Extracting #1: cost 21 inf + 0 395.304 * * [simplify]: Extracting #2: cost 44 inf + 0 395.304 * * [simplify]: Extracting #3: cost 65 inf + 42 395.304 * * [simplify]: Extracting #4: cost 83 inf + 84 395.304 * * [simplify]: Extracting #5: cost 83 inf + 146 395.305 * * [simplify]: Extracting #6: cost 73 inf + 1442 395.307 * * [simplify]: Extracting #7: cost 38 inf + 9991 395.315 * * [simplify]: Extracting #8: cost 5 inf + 26472 395.325 * * [simplify]: Extracting #9: cost 0 inf + 29283 395.332 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 395.332 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 395.332 * * * * [progress]: [ 526 / 4148 ] simplifiying candidate # 395.333 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 395.333 * * [simplify]: iters left: 6 (23 enodes) 395.339 * * [simplify]: iters left: 5 (84 enodes) 395.354 * * [simplify]: iters left: 4 (154 enodes) 395.402 * * [simplify]: iters left: 3 (279 enodes) 395.483 * * [simplify]: iters left: 2 (444 enodes) 395.678 * * [simplify]: Extracting #0: cost 1 inf + 0 395.678 * * [simplify]: Extracting #1: cost 45 inf + 0 395.678 * * [simplify]: Extracting #2: cost 88 inf + 1 395.679 * * [simplify]: Extracting #3: cost 118 inf + 1 395.679 * * [simplify]: Extracting #4: cost 138 inf + 2 395.680 * * [simplify]: Extracting #5: cost 136 inf + 268 395.681 * * [simplify]: Extracting #6: cost 126 inf + 1502 395.683 * * [simplify]: Extracting #7: cost 83 inf + 12627 395.691 * * [simplify]: Extracting #8: cost 25 inf + 46081 395.713 * * [simplify]: Extracting #9: cost 0 inf + 65398 395.736 * * [simplify]: Extracting #10: cost 0 inf + 65358 395.752 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 395.752 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 395.752 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 395.753 * * [simplify]: iters left: 6 (20 enodes) 395.758 * * [simplify]: iters left: 5 (71 enodes) 395.782 * * [simplify]: iters left: 4 (121 enodes) 395.815 * * [simplify]: iters left: 3 (196 enodes) 395.856 * * [simplify]: iters left: 2 (264 enodes) 395.950 * * [simplify]: iters left: 1 (346 enodes) 396.083 * * [simplify]: Extracting #0: cost 1 inf + 0 396.083 * * [simplify]: Extracting #1: cost 21 inf + 0 396.083 * * [simplify]: Extracting #2: cost 41 inf + 1 396.084 * * [simplify]: Extracting #3: cost 64 inf + 1 396.084 * * [simplify]: Extracting #4: cost 83 inf + 2 396.085 * * [simplify]: Extracting #5: cost 83 inf + 64 396.085 * * [simplify]: Extracting #6: cost 74 inf + 1038 396.087 * * [simplify]: Extracting #7: cost 38 inf + 10332 396.090 * * [simplify]: Extracting #8: cost 4 inf + 26191 396.095 * * [simplify]: Extracting #9: cost 0 inf + 28401 396.099 * [simplify]: Simplified to (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) 396.100 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 396.100 * * * * [progress]: [ 527 / 4148 ] simplifiying candidate # 396.100 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 396.100 * * [simplify]: iters left: 6 (28 enodes) 396.109 * * [simplify]: iters left: 5 (104 enodes) 396.131 * * [simplify]: iters left: 4 (194 enodes) 396.182 * * [simplify]: iters left: 3 (409 enodes) 396.350 * * [simplify]: Extracting #0: cost 1 inf + 0 396.350 * * [simplify]: Extracting #1: cost 97 inf + 0 396.352 * * [simplify]: Extracting #2: cost 203 inf + 0 396.354 * * [simplify]: Extracting #3: cost 222 inf + 82 396.355 * * [simplify]: Extracting #4: cost 242 inf + 285 396.358 * * [simplify]: Extracting #5: cost 241 inf + 775 396.361 * * [simplify]: Extracting #6: cost 207 inf + 7814 396.380 * * [simplify]: Extracting #7: cost 91 inf + 92899 396.412 * * [simplify]: Extracting #8: cost 2 inf + 169546 396.456 * * [simplify]: Extracting #9: cost 0 inf + 170990 396.492 * * [simplify]: Extracting #10: cost 0 inf + 170950 396.556 * [simplify]: Simplified to (/ (* (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) 396.556 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 396.557 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 396.558 * * [simplify]: iters left: 6 (24 enodes) 396.570 * * [simplify]: iters left: 5 (83 enodes) 396.586 * * [simplify]: iters left: 4 (133 enodes) 396.611 * * [simplify]: iters left: 3 (208 enodes) 396.647 * * [simplify]: iters left: 2 (277 enodes) 396.723 * * [simplify]: iters left: 1 (359 enodes) 396.853 * * [simplify]: Extracting #0: cost 1 inf + 0 396.853 * * [simplify]: Extracting #1: cost 21 inf + 0 396.853 * * [simplify]: Extracting #2: cost 44 inf + 0 396.853 * * [simplify]: Extracting #3: cost 67 inf + 82 396.853 * * [simplify]: Extracting #4: cost 89 inf + 164 396.854 * * [simplify]: Extracting #5: cost 88 inf + 430 396.854 * * [simplify]: Extracting #6: cost 81 inf + 1199 396.856 * * [simplify]: Extracting #7: cost 43 inf + 10976 396.859 * * [simplify]: Extracting #8: cost 20 inf + 19682 396.863 * * [simplify]: Extracting #9: cost 3 inf + 31942 396.869 * * [simplify]: Extracting #10: cost 0 inf + 34291 396.874 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 396.874 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 396.875 * * * * [progress]: [ 528 / 4148 ] simplifiying candidate # 396.875 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 396.875 * * [simplify]: iters left: 6 (27 enodes) 396.882 * * [simplify]: iters left: 5 (99 enodes) 396.902 * * [simplify]: iters left: 4 (181 enodes) 396.956 * * [simplify]: iters left: 3 (349 enodes) 397.044 * * [simplify]: Extracting #0: cost 1 inf + 0 397.045 * * [simplify]: Extracting #1: cost 67 inf + 0 397.045 * * [simplify]: Extracting #2: cost 122 inf + 0 397.047 * * [simplify]: Extracting #3: cost 142 inf + 1 397.048 * * [simplify]: Extracting #4: cost 162 inf + 84 397.049 * * [simplify]: Extracting #5: cost 162 inf + 453 397.050 * * [simplify]: Extracting #6: cost 156 inf + 1221 397.052 * * [simplify]: Extracting #7: cost 111 inf + 14134 397.057 * * [simplify]: Extracting #8: cost 72 inf + 35886 397.073 * * [simplify]: Extracting #9: cost 21 inf + 79646 397.092 * * [simplify]: Extracting #10: cost 0 inf + 98886 397.111 * [simplify]: Simplified to (/ (sqrt a1) (/ (/ (cbrt (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 397.111 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (/ (cbrt (cbrt (fabs (cbrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 397.111 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 397.112 * * [simplify]: iters left: 6 (24 enodes) 397.119 * * [simplify]: iters left: 5 (83 enodes) 397.135 * * [simplify]: iters left: 4 (133 enodes) 397.172 * * [simplify]: iters left: 3 (208 enodes) 397.210 * * [simplify]: iters left: 2 (277 enodes) 397.271 * * [simplify]: iters left: 1 (359 enodes) 397.392 * * [simplify]: Extracting #0: cost 1 inf + 0 397.392 * * [simplify]: Extracting #1: cost 21 inf + 0 397.392 * * [simplify]: Extracting #2: cost 44 inf + 0 397.393 * * [simplify]: Extracting #3: cost 67 inf + 42 397.393 * * [simplify]: Extracting #4: cost 89 inf + 84 397.394 * * [simplify]: Extracting #5: cost 88 inf + 350 397.395 * * [simplify]: Extracting #6: cost 81 inf + 1119 397.398 * * [simplify]: Extracting #7: cost 43 inf + 10816 397.404 * * [simplify]: Extracting #8: cost 20 inf + 19162 397.413 * * [simplify]: Extracting #9: cost 3 inf + 31062 397.421 * * [simplify]: Extracting #10: cost 0 inf + 33411 397.426 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 397.426 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 397.426 * * * * [progress]: [ 529 / 4148 ] simplifiying candidate # 397.426 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 397.427 * * [simplify]: iters left: 6 (26 enodes) 397.435 * * [simplify]: iters left: 5 (94 enodes) 397.452 * * [simplify]: iters left: 4 (164 enodes) 397.508 * * [simplify]: iters left: 3 (289 enodes) 397.623 * * [simplify]: iters left: 2 (453 enodes) 397.816 * * [simplify]: Extracting #0: cost 1 inf + 0 397.816 * * [simplify]: Extracting #1: cost 45 inf + 0 397.816 * * [simplify]: Extracting #2: cost 88 inf + 1 397.817 * * [simplify]: Extracting #3: cost 119 inf + 1 397.817 * * [simplify]: Extracting #4: cost 142 inf + 2 397.818 * * [simplify]: Extracting #5: cost 141 inf + 329 397.819 * * [simplify]: Extracting #6: cost 137 inf + 654 397.820 * * [simplify]: Extracting #7: cost 89 inf + 12487 397.832 * * [simplify]: Extracting #8: cost 19 inf + 55571 397.847 * * [simplify]: Extracting #9: cost 0 inf + 70484 397.871 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) 397.871 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 397.871 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 397.872 * * [simplify]: iters left: 6 (23 enodes) 397.877 * * [simplify]: iters left: 5 (80 enodes) 397.891 * * [simplify]: iters left: 4 (130 enodes) 397.923 * * [simplify]: iters left: 3 (205 enodes) 397.961 * * [simplify]: iters left: 2 (275 enodes) 398.026 * * [simplify]: iters left: 1 (351 enodes) 398.137 * * [simplify]: Extracting #0: cost 1 inf + 0 398.137 * * [simplify]: Extracting #1: cost 21 inf + 0 398.137 * * [simplify]: Extracting #2: cost 41 inf + 1 398.137 * * [simplify]: Extracting #3: cost 66 inf + 1 398.137 * * [simplify]: Extracting #4: cost 89 inf + 2 398.138 * * [simplify]: Extracting #5: cost 90 inf + 64 398.139 * * [simplify]: Extracting #6: cost 82 inf + 957 398.141 * * [simplify]: Extracting #7: cost 49 inf + 7414 398.149 * * [simplify]: Extracting #8: cost 17 inf + 21489 398.159 * * [simplify]: Extracting #9: cost 0 inf + 32529 398.169 * [simplify]: Simplified to (* (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt (cbrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) a1) 398.170 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (* (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt (cbrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 398.170 * * * * [progress]: [ 530 / 4148 ] simplifiying candidate # 398.171 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 398.171 * * [simplify]: iters left: 6 (26 enodes) 398.183 * * [simplify]: iters left: 5 (97 enodes) 398.219 * * [simplify]: iters left: 4 (187 enodes) 398.263 * * [simplify]: iters left: 3 (400 enodes) 398.447 * * [simplify]: Extracting #0: cost 1 inf + 0 398.448 * * [simplify]: Extracting #1: cost 93 inf + 0 398.449 * * [simplify]: Extracting #2: cost 198 inf + 0 398.451 * * [simplify]: Extracting #3: cost 216 inf + 203 398.453 * * [simplify]: Extracting #4: cost 234 inf + 448 398.455 * * [simplify]: Extracting #5: cost 235 inf + 612 398.459 * * [simplify]: Extracting #6: cost 197 inf + 11024 398.473 * * [simplify]: Extracting #7: cost 135 inf + 43216 398.498 * * [simplify]: Extracting #8: cost 32 inf + 129024 398.557 * * [simplify]: Extracting #9: cost 0 inf + 156694 398.618 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 398.618 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 398.619 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 398.619 * * [simplify]: iters left: 6 (23 enodes) 398.630 * * [simplify]: iters left: 5 (80 enodes) 398.657 * * [simplify]: iters left: 4 (130 enodes) 398.682 * * [simplify]: iters left: 3 (205 enodes) 398.725 * * [simplify]: iters left: 2 (275 enodes) 398.805 * * [simplify]: iters left: 1 (351 enodes) 398.906 * * [simplify]: Extracting #0: cost 1 inf + 0 398.906 * * [simplify]: Extracting #1: cost 21 inf + 0 398.906 * * [simplify]: Extracting #2: cost 44 inf + 0 398.906 * * [simplify]: Extracting #3: cost 66 inf + 163 398.906 * * [simplify]: Extracting #4: cost 88 inf + 164 398.907 * * [simplify]: Extracting #5: cost 88 inf + 226 398.907 * * [simplify]: Extracting #6: cost 80 inf + 1119 398.908 * * [simplify]: Extracting #7: cost 48 inf + 7437 398.913 * * [simplify]: Extracting #8: cost 23 inf + 18597 398.923 * * [simplify]: Extracting #9: cost 1 inf + 31666 398.934 * * [simplify]: Extracting #10: cost 0 inf + 32289 398.945 * [simplify]: Simplified to (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 398.945 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 398.946 * * * * [progress]: [ 531 / 4148 ] simplifiying candidate # 398.946 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 398.947 * * [simplify]: iters left: 6 (25 enodes) 398.959 * * [simplify]: iters left: 5 (92 enodes) 398.991 * * [simplify]: iters left: 4 (174 enodes) 399.026 * * [simplify]: iters left: 3 (344 enodes) 399.151 * * [simplify]: Extracting #0: cost 1 inf + 0 399.151 * * [simplify]: Extracting #1: cost 68 inf + 0 399.152 * * [simplify]: Extracting #2: cost 123 inf + 0 399.153 * * [simplify]: Extracting #3: cost 143 inf + 42 399.154 * * [simplify]: Extracting #4: cost 162 inf + 126 399.155 * * [simplify]: Extracting #5: cost 163 inf + 290 399.160 * * [simplify]: Extracting #6: cost 151 inf + 1888 399.165 * * [simplify]: Extracting #7: cost 108 inf + 15562 399.179 * * [simplify]: Extracting #8: cost 58 inf + 45829 399.212 * * [simplify]: Extracting #9: cost 12 inf + 83315 399.238 * * [simplify]: Extracting #10: cost 0 inf + 93991 399.256 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (sqrt (sqrt 2))))) 399.256 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 399.256 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 399.256 * * [simplify]: iters left: 6 (23 enodes) 399.266 * * [simplify]: iters left: 5 (80 enodes) 399.290 * * [simplify]: iters left: 4 (130 enodes) 399.313 * * [simplify]: iters left: 3 (205 enodes) 399.368 * * [simplify]: iters left: 2 (275 enodes) 399.437 * * [simplify]: iters left: 1 (351 enodes) 399.543 * * [simplify]: Extracting #0: cost 1 inf + 0 399.543 * * [simplify]: Extracting #1: cost 21 inf + 0 399.543 * * [simplify]: Extracting #2: cost 44 inf + 0 399.543 * * [simplify]: Extracting #3: cost 66 inf + 83 399.544 * * [simplify]: Extracting #4: cost 88 inf + 84 399.545 * * [simplify]: Extracting #5: cost 88 inf + 146 399.545 * * [simplify]: Extracting #6: cost 80 inf + 1039 399.548 * * [simplify]: Extracting #7: cost 48 inf + 7357 399.554 * * [simplify]: Extracting #8: cost 23 inf + 18197 399.564 * * [simplify]: Extracting #9: cost 1 inf + 30786 399.570 * * [simplify]: Extracting #10: cost 0 inf + 31409 399.577 * [simplify]: Simplified to (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 399.577 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 399.578 * * * * [progress]: [ 532 / 4148 ] simplifiying candidate # 399.578 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 399.578 * * [simplify]: iters left: 6 (24 enodes) 399.584 * * [simplify]: iters left: 5 (87 enodes) 399.613 * * [simplify]: iters left: 4 (157 enodes) 399.665 * * [simplify]: iters left: 3 (282 enodes) 399.743 * * [simplify]: iters left: 2 (444 enodes) 399.920 * * [simplify]: Extracting #0: cost 1 inf + 0 399.921 * * [simplify]: Extracting #1: cost 45 inf + 0 399.921 * * [simplify]: Extracting #2: cost 88 inf + 1 399.922 * * [simplify]: Extracting #3: cost 119 inf + 1 399.923 * * [simplify]: Extracting #4: cost 140 inf + 2 399.924 * * [simplify]: Extracting #5: cost 139 inf + 166 399.926 * * [simplify]: Extracting #6: cost 132 inf + 814 399.929 * * [simplify]: Extracting #7: cost 99 inf + 8362 399.937 * * [simplify]: Extracting #8: cost 72 inf + 17224 399.954 * * [simplify]: Extracting #9: cost 23 inf + 48214 399.983 * * [simplify]: Extracting #10: cost 1 inf + 65417 400.012 * * [simplify]: Extracting #11: cost 0 inf + 66360 400.042 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 400.042 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 400.043 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 400.043 * * [simplify]: iters left: 6 (22 enodes) 400.053 * * [simplify]: iters left: 5 (77 enodes) 400.079 * * [simplify]: iters left: 4 (127 enodes) 400.123 * * [simplify]: iters left: 3 (202 enodes) 400.170 * * [simplify]: iters left: 2 (268 enodes) 400.252 * * [simplify]: iters left: 1 (350 enodes) 400.380 * * [simplify]: Extracting #0: cost 1 inf + 0 400.381 * * [simplify]: Extracting #1: cost 21 inf + 0 400.381 * * [simplify]: Extracting #2: cost 41 inf + 1 400.381 * * [simplify]: Extracting #3: cost 66 inf + 1 400.382 * * [simplify]: Extracting #4: cost 88 inf + 2 400.382 * * [simplify]: Extracting #5: cost 87 inf + 125 400.384 * * [simplify]: Extracting #6: cost 73 inf + 2089 400.387 * * [simplify]: Extracting #7: cost 44 inf + 9186 400.394 * * [simplify]: Extracting #8: cost 7 inf + 26832 400.404 * * [simplify]: Extracting #9: cost 0 inf + 30527 400.415 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)) 400.415 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 400.416 * * * * [progress]: [ 533 / 4148 ] simplifiying candidate # 400.416 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 400.417 * * [simplify]: iters left: 6 (26 enodes) 400.435 * * [simplify]: iters left: 5 (97 enodes) 400.452 * * [simplify]: iters left: 4 (181 enodes) 400.513 * * [simplify]: iters left: 3 (382 enodes) 400.681 * * [simplify]: Extracting #0: cost 1 inf + 0 400.681 * * [simplify]: Extracting #1: cost 69 inf + 0 400.682 * * [simplify]: Extracting #2: cost 149 inf + 1 400.683 * * [simplify]: Extracting #3: cost 165 inf + 83 400.684 * * [simplify]: Extracting #4: cost 173 inf + 1706 400.685 * * [simplify]: Extracting #5: cost 168 inf + 2761 400.686 * * [simplify]: Extracting #6: cost 137 inf + 11826 400.697 * * [simplify]: Extracting #7: cost 36 inf + 68688 400.717 * * [simplify]: Extracting #8: cost 1 inf + 94038 400.740 * * [simplify]: Extracting #9: cost 0 inf + 94701 400.779 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 400.779 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 400.780 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 400.780 * * [simplify]: iters left: 6 (20 enodes) 400.790 * * [simplify]: iters left: 5 (71 enodes) 400.806 * * [simplify]: iters left: 4 (121 enodes) 400.826 * * [simplify]: iters left: 3 (196 enodes) 400.863 * * [simplify]: iters left: 2 (271 enodes) 400.922 * * [simplify]: iters left: 1 (376 enodes) 401.036 * * [simplify]: Extracting #0: cost 1 inf + 0 401.036 * * [simplify]: Extracting #1: cost 25 inf + 0 401.037 * * [simplify]: Extracting #2: cost 53 inf + 1 401.037 * * [simplify]: Extracting #3: cost 71 inf + 164 401.038 * * [simplify]: Extracting #4: cost 90 inf + 164 401.039 * * [simplify]: Extracting #5: cost 79 inf + 1099 401.041 * * [simplify]: Extracting #6: cost 52 inf + 7411 401.049 * * [simplify]: Extracting #7: cost 7 inf + 27503 401.055 * * [simplify]: Extracting #8: cost 0 inf + 31703 401.061 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 401.061 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 401.061 * * * * [progress]: [ 534 / 4148 ] simplifiying candidate # 401.062 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 401.062 * * [simplify]: iters left: 6 (25 enodes) 401.073 * * [simplify]: iters left: 5 (92 enodes) 401.093 * * [simplify]: iters left: 4 (165 enodes) 401.128 * * [simplify]: iters left: 3 (296 enodes) 401.222 * * [simplify]: Extracting #0: cost 1 inf + 0 401.222 * * [simplify]: Extracting #1: cost 46 inf + 0 401.222 * * [simplify]: Extracting #2: cost 77 inf + 1 401.223 * * [simplify]: Extracting #3: cost 93 inf + 125 401.224 * * [simplify]: Extracting #4: cost 109 inf + 412 401.225 * * [simplify]: Extracting #5: cost 108 inf + 780 401.226 * * [simplify]: Extracting #6: cost 94 inf + 2561 401.234 * * [simplify]: Extracting #7: cost 45 inf + 22168 401.246 * * [simplify]: Extracting #8: cost 6 inf + 44960 401.256 * * [simplify]: Extracting #9: cost 0 inf + 48958 401.267 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 401.267 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 401.268 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 401.268 * * [simplify]: iters left: 6 (20 enodes) 401.279 * * [simplify]: iters left: 5 (71 enodes) 401.300 * * [simplify]: iters left: 4 (121 enodes) 401.321 * * [simplify]: iters left: 3 (196 enodes) 401.363 * * [simplify]: iters left: 2 (271 enodes) 401.430 * * [simplify]: iters left: 1 (376 enodes) 401.577 * * [simplify]: Extracting #0: cost 1 inf + 0 401.577 * * [simplify]: Extracting #1: cost 25 inf + 0 401.578 * * [simplify]: Extracting #2: cost 53 inf + 1 401.578 * * [simplify]: Extracting #3: cost 71 inf + 84 401.579 * * [simplify]: Extracting #4: cost 90 inf + 84 401.580 * * [simplify]: Extracting #5: cost 79 inf + 1019 401.582 * * [simplify]: Extracting #6: cost 52 inf + 7251 401.590 * * [simplify]: Extracting #7: cost 7 inf + 26663 401.602 * * [simplify]: Extracting #8: cost 0 inf + 30703 401.614 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 401.614 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 401.615 * * * * [progress]: [ 535 / 4148 ] simplifiying candidate # 401.615 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt 1))) 1)) 401.616 * * [simplify]: iters left: 6 (24 enodes) 401.633 * * [simplify]: iters left: 5 (87 enodes) 401.662 * * [simplify]: iters left: 4 (145 enodes) 401.703 * * [simplify]: iters left: 3 (227 enodes) 401.750 * * [simplify]: iters left: 2 (324 enodes) 401.863 * * [simplify]: iters left: 1 (481 enodes) 402.105 * * [simplify]: Extracting #0: cost 1 inf + 0 402.105 * * [simplify]: Extracting #1: cost 19 inf + 0 402.105 * * [simplify]: Extracting #2: cost 35 inf + 1 402.105 * * [simplify]: Extracting #3: cost 57 inf + 1 402.106 * * [simplify]: Extracting #4: cost 77 inf + 2 402.106 * * [simplify]: Extracting #5: cost 77 inf + 64 402.106 * * [simplify]: Extracting #6: cost 64 inf + 1908 402.108 * * [simplify]: Extracting #7: cost 32 inf + 10294 402.113 * * [simplify]: Extracting #8: cost 6 inf + 23023 402.121 * * [simplify]: Extracting #9: cost 0 inf + 25858 402.129 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 402.129 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 402.130 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 402.130 * * [simplify]: iters left: 6 (19 enodes) 402.135 * * [simplify]: iters left: 5 (68 enodes) 402.149 * * [simplify]: iters left: 4 (118 enodes) 402.182 * * [simplify]: iters left: 3 (193 enodes) 402.242 * * [simplify]: iters left: 2 (267 enodes) 402.339 * * [simplify]: iters left: 1 (362 enodes) 402.460 * * [simplify]: Extracting #0: cost 1 inf + 0 402.460 * * [simplify]: Extracting #1: cost 26 inf + 0 402.461 * * [simplify]: Extracting #2: cost 51 inf + 2 402.461 * * [simplify]: Extracting #3: cost 72 inf + 2 402.462 * * [simplify]: Extracting #4: cost 92 inf + 2 402.462 * * [simplify]: Extracting #5: cost 81 inf + 1138 402.464 * * [simplify]: Extracting #6: cost 30 inf + 17293 402.470 * * [simplify]: Extracting #7: cost 2 inf + 29001 402.475 * * [simplify]: Extracting #8: cost 0 inf + 30067 402.481 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 402.481 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 402.481 * * * * [progress]: [ 536 / 4148 ] simplifiying candidate # 402.482 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 402.482 * * [simplify]: iters left: 6 (26 enodes) 402.488 * * [simplify]: iters left: 5 (97 enodes) 402.521 * * [simplify]: iters left: 4 (187 enodes) 402.570 * * [simplify]: iters left: 3 (400 enodes) 402.699 * * [simplify]: Extracting #0: cost 1 inf + 0 402.700 * * [simplify]: Extracting #1: cost 93 inf + 0 402.700 * * [simplify]: Extracting #2: cost 198 inf + 0 402.701 * * [simplify]: Extracting #3: cost 216 inf + 203 402.702 * * [simplify]: Extracting #4: cost 234 inf + 448 402.703 * * [simplify]: Extracting #5: cost 235 inf + 612 402.705 * * [simplify]: Extracting #6: cost 197 inf + 11024 402.712 * * [simplify]: Extracting #7: cost 135 inf + 43216 402.755 * * [simplify]: Extracting #8: cost 32 inf + 129024 402.794 * * [simplify]: Extracting #9: cost 0 inf + 156694 402.846 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 402.846 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 402.847 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 402.847 * * [simplify]: iters left: 6 (23 enodes) 402.854 * * [simplify]: iters left: 5 (80 enodes) 402.867 * * [simplify]: iters left: 4 (130 enodes) 402.888 * * [simplify]: iters left: 3 (205 enodes) 402.923 * * [simplify]: iters left: 2 (275 enodes) 402.979 * * [simplify]: iters left: 1 (351 enodes) 403.068 * * [simplify]: Extracting #0: cost 1 inf + 0 403.068 * * [simplify]: Extracting #1: cost 21 inf + 0 403.068 * * [simplify]: Extracting #2: cost 44 inf + 0 403.068 * * [simplify]: Extracting #3: cost 66 inf + 163 403.068 * * [simplify]: Extracting #4: cost 88 inf + 164 403.069 * * [simplify]: Extracting #5: cost 88 inf + 226 403.069 * * [simplify]: Extracting #6: cost 80 inf + 1119 403.070 * * [simplify]: Extracting #7: cost 48 inf + 7437 403.073 * * [simplify]: Extracting #8: cost 23 inf + 18597 403.083 * * [simplify]: Extracting #9: cost 1 inf + 31666 403.094 * * [simplify]: Extracting #10: cost 0 inf + 32289 403.104 * [simplify]: Simplified to (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 403.105 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 403.105 * * * * [progress]: [ 537 / 4148 ] simplifiying candidate # 403.105 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 403.106 * * [simplify]: iters left: 6 (25 enodes) 403.114 * * [simplify]: iters left: 5 (92 enodes) 403.130 * * [simplify]: iters left: 4 (174 enodes) 403.180 * * [simplify]: iters left: 3 (344 enodes) 403.296 * * [simplify]: Extracting #0: cost 1 inf + 0 403.296 * * [simplify]: Extracting #1: cost 68 inf + 0 403.297 * * [simplify]: Extracting #2: cost 123 inf + 0 403.298 * * [simplify]: Extracting #3: cost 143 inf + 42 403.299 * * [simplify]: Extracting #4: cost 162 inf + 126 403.301 * * [simplify]: Extracting #5: cost 163 inf + 290 403.302 * * [simplify]: Extracting #6: cost 151 inf + 1888 403.307 * * [simplify]: Extracting #7: cost 108 inf + 15562 403.322 * * [simplify]: Extracting #8: cost 58 inf + 45829 403.353 * * [simplify]: Extracting #9: cost 12 inf + 83315 403.379 * * [simplify]: Extracting #10: cost 0 inf + 93991 403.398 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (sqrt (sqrt 2))))) 403.399 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 403.399 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 403.399 * * [simplify]: iters left: 6 (23 enodes) 403.405 * * [simplify]: iters left: 5 (80 enodes) 403.419 * * [simplify]: iters left: 4 (130 enodes) 403.439 * * [simplify]: iters left: 3 (205 enodes) 403.486 * * [simplify]: iters left: 2 (275 enodes) 403.534 * * [simplify]: iters left: 1 (351 enodes) 403.657 * * [simplify]: Extracting #0: cost 1 inf + 0 403.657 * * [simplify]: Extracting #1: cost 21 inf + 0 403.657 * * [simplify]: Extracting #2: cost 44 inf + 0 403.658 * * [simplify]: Extracting #3: cost 66 inf + 83 403.658 * * [simplify]: Extracting #4: cost 88 inf + 84 403.659 * * [simplify]: Extracting #5: cost 88 inf + 146 403.660 * * [simplify]: Extracting #6: cost 80 inf + 1039 403.662 * * [simplify]: Extracting #7: cost 48 inf + 7357 403.668 * * [simplify]: Extracting #8: cost 23 inf + 18197 403.679 * * [simplify]: Extracting #9: cost 1 inf + 30786 403.689 * * [simplify]: Extracting #10: cost 0 inf + 31409 403.701 * [simplify]: Simplified to (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 403.701 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 403.701 * * * * [progress]: [ 538 / 4148 ] simplifiying candidate # 403.702 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 403.702 * * [simplify]: iters left: 6 (24 enodes) 403.714 * * [simplify]: iters left: 5 (87 enodes) 403.744 * * [simplify]: iters left: 4 (157 enodes) 403.803 * * [simplify]: iters left: 3 (282 enodes) 403.915 * * [simplify]: iters left: 2 (444 enodes) 404.131 * * [simplify]: Extracting #0: cost 1 inf + 0 404.131 * * [simplify]: Extracting #1: cost 45 inf + 0 404.132 * * [simplify]: Extracting #2: cost 88 inf + 1 404.132 * * [simplify]: Extracting #3: cost 119 inf + 1 404.133 * * [simplify]: Extracting #4: cost 140 inf + 2 404.133 * * [simplify]: Extracting #5: cost 139 inf + 166 404.134 * * [simplify]: Extracting #6: cost 132 inf + 814 404.136 * * [simplify]: Extracting #7: cost 99 inf + 8362 404.139 * * [simplify]: Extracting #8: cost 72 inf + 17224 404.149 * * [simplify]: Extracting #9: cost 23 inf + 48214 404.178 * * [simplify]: Extracting #10: cost 1 inf + 65417 404.207 * * [simplify]: Extracting #11: cost 0 inf + 66360 404.227 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 404.228 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 404.228 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 404.228 * * [simplify]: iters left: 6 (22 enodes) 404.234 * * [simplify]: iters left: 5 (77 enodes) 404.250 * * [simplify]: iters left: 4 (127 enodes) 404.291 * * [simplify]: iters left: 3 (202 enodes) 404.355 * * [simplify]: iters left: 2 (268 enodes) 404.424 * * [simplify]: iters left: 1 (350 enodes) 404.528 * * [simplify]: Extracting #0: cost 1 inf + 0 404.528 * * [simplify]: Extracting #1: cost 21 inf + 0 404.528 * * [simplify]: Extracting #2: cost 41 inf + 1 404.528 * * [simplify]: Extracting #3: cost 66 inf + 1 404.528 * * [simplify]: Extracting #4: cost 88 inf + 2 404.529 * * [simplify]: Extracting #5: cost 87 inf + 125 404.529 * * [simplify]: Extracting #6: cost 73 inf + 2089 404.531 * * [simplify]: Extracting #7: cost 44 inf + 9186 404.535 * * [simplify]: Extracting #8: cost 7 inf + 26832 404.540 * * [simplify]: Extracting #9: cost 0 inf + 30527 404.549 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)) 404.549 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 404.550 * * * * [progress]: [ 539 / 4148 ] simplifiying candidate # 404.550 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 404.550 * * [simplify]: iters left: 6 (25 enodes) 404.565 * * [simplify]: iters left: 5 (94 enodes) 404.583 * * [simplify]: iters left: 4 (178 enodes) 404.630 * * [simplify]: iters left: 3 (379 enodes) 404.825 * * [simplify]: Extracting #0: cost 1 inf + 0 404.825 * * [simplify]: Extracting #1: cost 70 inf + 0 404.826 * * [simplify]: Extracting #2: cost 148 inf + 1 404.827 * * [simplify]: Extracting #3: cost 162 inf + 326 404.829 * * [simplify]: Extracting #4: cost 174 inf + 1422 404.831 * * [simplify]: Extracting #5: cost 168 inf + 2659 404.834 * * [simplify]: Extracting #6: cost 144 inf + 8927 404.850 * * [simplify]: Extracting #7: cost 42 inf + 66732 404.869 * * [simplify]: Extracting #8: cost 2 inf + 93435 404.907 * * [simplify]: Extracting #9: cost 0 inf + 94660 404.931 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) 404.931 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 404.931 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 404.931 * * [simplify]: iters left: 6 (20 enodes) 404.939 * * [simplify]: iters left: 5 (71 enodes) 404.961 * * [simplify]: iters left: 4 (121 enodes) 404.999 * * [simplify]: iters left: 3 (196 enodes) 405.033 * * [simplify]: iters left: 2 (271 enodes) 405.107 * * [simplify]: iters left: 1 (376 enodes) 405.284 * * [simplify]: Extracting #0: cost 1 inf + 0 405.284 * * [simplify]: Extracting #1: cost 25 inf + 0 405.284 * * [simplify]: Extracting #2: cost 53 inf + 1 405.285 * * [simplify]: Extracting #3: cost 71 inf + 164 405.285 * * [simplify]: Extracting #4: cost 90 inf + 164 405.286 * * [simplify]: Extracting #5: cost 79 inf + 1099 405.289 * * [simplify]: Extracting #6: cost 52 inf + 7411 405.297 * * [simplify]: Extracting #7: cost 7 inf + 27503 405.308 * * [simplify]: Extracting #8: cost 0 inf + 31703 405.321 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 405.321 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 405.321 * * * * [progress]: [ 540 / 4148 ] simplifiying candidate # 405.322 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (sqrt a1))) 405.322 * * [simplify]: iters left: 6 (24 enodes) 405.332 * * [simplify]: iters left: 5 (89 enodes) 405.347 * * [simplify]: iters left: 4 (162 enodes) 405.397 * * [simplify]: iters left: 3 (293 enodes) 405.470 * * [simplify]: Extracting #0: cost 1 inf + 0 405.470 * * [simplify]: Extracting #1: cost 46 inf + 0 405.470 * * [simplify]: Extracting #2: cost 76 inf + 1 405.471 * * [simplify]: Extracting #3: cost 90 inf + 207 405.471 * * [simplify]: Extracting #4: cost 105 inf + 616 405.472 * * [simplify]: Extracting #5: cost 105 inf + 841 405.472 * * [simplify]: Extracting #6: cost 97 inf + 1872 405.474 * * [simplify]: Extracting #7: cost 56 inf + 15127 405.482 * * [simplify]: Extracting #8: cost 7 inf + 43511 405.492 * * [simplify]: Extracting #9: cost 0 inf + 47992 405.507 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) 405.507 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 405.507 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 405.508 * * [simplify]: iters left: 6 (20 enodes) 405.517 * * [simplify]: iters left: 5 (71 enodes) 405.541 * * [simplify]: iters left: 4 (121 enodes) 405.580 * * [simplify]: iters left: 3 (196 enodes) 405.638 * * [simplify]: iters left: 2 (271 enodes) 405.714 * * [simplify]: iters left: 1 (376 enodes) 405.878 * * [simplify]: Extracting #0: cost 1 inf + 0 405.878 * * [simplify]: Extracting #1: cost 25 inf + 0 405.878 * * [simplify]: Extracting #2: cost 53 inf + 1 405.879 * * [simplify]: Extracting #3: cost 71 inf + 84 405.880 * * [simplify]: Extracting #4: cost 90 inf + 84 405.880 * * [simplify]: Extracting #5: cost 79 inf + 1019 405.883 * * [simplify]: Extracting #6: cost 52 inf + 7251 405.891 * * [simplify]: Extracting #7: cost 7 inf + 26663 405.903 * * [simplify]: Extracting #8: cost 0 inf + 30703 405.915 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 405.915 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 405.915 * * * * [progress]: [ 541 / 4148 ] simplifiying candidate # 405.916 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) 1)) 405.916 * * [simplify]: iters left: 6 (23 enodes) 405.935 * * [simplify]: iters left: 5 (84 enodes) 405.952 * * [simplify]: iters left: 4 (142 enodes) 405.980 * * [simplify]: iters left: 3 (224 enodes) 406.028 * * [simplify]: iters left: 2 (320 enodes) 406.154 * * [simplify]: iters left: 1 (472 enodes) 406.344 * * [simplify]: Extracting #0: cost 1 inf + 0 406.344 * * [simplify]: Extracting #1: cost 19 inf + 0 406.344 * * [simplify]: Extracting #2: cost 35 inf + 1 406.345 * * [simplify]: Extracting #3: cost 57 inf + 1 406.345 * * [simplify]: Extracting #4: cost 77 inf + 2 406.346 * * [simplify]: Extracting #5: cost 77 inf + 64 406.350 * * [simplify]: Extracting #6: cost 65 inf + 1563 406.354 * * [simplify]: Extracting #7: cost 30 inf + 11301 406.364 * * [simplify]: Extracting #8: cost 3 inf + 24109 406.378 * * [simplify]: Extracting #9: cost 0 inf + 25858 406.394 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 406.394 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 406.394 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 406.395 * * [simplify]: iters left: 6 (19 enodes) 406.404 * * [simplify]: iters left: 5 (68 enodes) 406.427 * * [simplify]: iters left: 4 (118 enodes) 406.452 * * [simplify]: iters left: 3 (193 enodes) 406.500 * * [simplify]: iters left: 2 (267 enodes) 406.562 * * [simplify]: iters left: 1 (362 enodes) 406.731 * * [simplify]: Extracting #0: cost 1 inf + 0 406.731 * * [simplify]: Extracting #1: cost 26 inf + 0 406.731 * * [simplify]: Extracting #2: cost 51 inf + 2 406.732 * * [simplify]: Extracting #3: cost 72 inf + 2 406.733 * * [simplify]: Extracting #4: cost 92 inf + 2 406.733 * * [simplify]: Extracting #5: cost 81 inf + 1138 406.738 * * [simplify]: Extracting #6: cost 30 inf + 17293 406.748 * * [simplify]: Extracting #7: cost 2 inf + 29001 406.757 * * [simplify]: Extracting #8: cost 0 inf + 30067 406.762 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 406.762 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt 1)) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 406.763 * * * * [progress]: [ 542 / 4148 ] simplifiying candidate # 406.763 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 406.763 * * [simplify]: iters left: 6 (24 enodes) 406.769 * * [simplify]: iters left: 5 (89 enodes) 406.785 * * [simplify]: iters left: 4 (181 enodes) 406.848 * * [simplify]: iters left: 3 (399 enodes) 407.005 * * [simplify]: Extracting #0: cost 1 inf + 0 407.005 * * [simplify]: Extracting #1: cost 68 inf + 0 407.006 * * [simplify]: Extracting #2: cost 146 inf + 0 407.008 * * [simplify]: Extracting #3: cost 160 inf + 84 407.009 * * [simplify]: Extracting #4: cost 175 inf + 329 407.011 * * [simplify]: Extracting #5: cost 175 inf + 614 407.014 * * [simplify]: Extracting #6: cost 147 inf + 6904 407.040 * * [simplify]: Extracting #7: cost 51 inf + 63313 407.083 * * [simplify]: Extracting #8: cost 1 inf + 96289 407.131 * * [simplify]: Extracting #9: cost 0 inf + 96832 407.152 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 407.153 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 407.153 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 407.153 * * [simplify]: iters left: 6 (21 enodes) 407.159 * * [simplify]: iters left: 5 (74 enodes) 407.181 * * [simplify]: iters left: 4 (124 enodes) 407.205 * * [simplify]: iters left: 3 (199 enodes) 407.248 * * [simplify]: iters left: 2 (266 enodes) 407.316 * * [simplify]: iters left: 1 (348 enodes) 407.436 * * [simplify]: Extracting #0: cost 1 inf + 0 407.436 * * [simplify]: Extracting #1: cost 21 inf + 0 407.437 * * [simplify]: Extracting #2: cost 44 inf + 0 407.437 * * [simplify]: Extracting #3: cost 65 inf + 82 407.437 * * [simplify]: Extracting #4: cost 83 inf + 164 407.438 * * [simplify]: Extracting #5: cost 83 inf + 226 407.439 * * [simplify]: Extracting #6: cost 73 inf + 1522 407.442 * * [simplify]: Extracting #7: cost 38 inf + 10071 407.450 * * [simplify]: Extracting #8: cost 5 inf + 27232 407.460 * * [simplify]: Extracting #9: cost 0 inf + 30163 407.470 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 407.470 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 407.470 * * * * [progress]: [ 543 / 4148 ] simplifiying candidate # 407.471 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 407.471 * * [simplify]: iters left: 6 (23 enodes) 407.482 * * [simplify]: iters left: 5 (84 enodes) 407.511 * * [simplify]: iters left: 4 (166 enodes) 407.574 * * [simplify]: iters left: 3 (320 enodes) 407.682 * * [simplify]: Extracting #0: cost 1 inf + 0 407.683 * * [simplify]: Extracting #1: cost 45 inf + 0 407.683 * * [simplify]: Extracting #2: cost 83 inf + 0 407.684 * * [simplify]: Extracting #3: cost 97 inf + 85 407.685 * * [simplify]: Extracting #4: cost 114 inf + 128 407.686 * * [simplify]: Extracting #5: cost 114 inf + 394 407.687 * * [simplify]: Extracting #6: cost 108 inf + 820 407.690 * * [simplify]: Extracting #7: cost 70 inf + 12145 407.699 * * [simplify]: Extracting #8: cost 36 inf + 28743 407.720 * * [simplify]: Extracting #9: cost 6 inf + 47945 407.732 * * [simplify]: Extracting #10: cost 0 inf + 52022 407.744 * [simplify]: Simplified to (/ (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 407.744 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 407.745 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 407.745 * * [simplify]: iters left: 6 (21 enodes) 407.750 * * [simplify]: iters left: 5 (74 enodes) 407.779 * * [simplify]: iters left: 4 (124 enodes) 407.814 * * [simplify]: iters left: 3 (199 enodes) 407.854 * * [simplify]: iters left: 2 (266 enodes) 407.923 * * [simplify]: iters left: 1 (348 enodes) 408.073 * * [simplify]: Extracting #0: cost 1 inf + 0 408.074 * * [simplify]: Extracting #1: cost 21 inf + 0 408.074 * * [simplify]: Extracting #2: cost 44 inf + 0 408.074 * * [simplify]: Extracting #3: cost 65 inf + 42 408.075 * * [simplify]: Extracting #4: cost 83 inf + 84 408.075 * * [simplify]: Extracting #5: cost 83 inf + 146 408.076 * * [simplify]: Extracting #6: cost 73 inf + 1442 408.079 * * [simplify]: Extracting #7: cost 38 inf + 9991 408.087 * * [simplify]: Extracting #8: cost 5 inf + 26472 408.092 * * [simplify]: Extracting #9: cost 0 inf + 29283 408.097 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 408.097 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 408.098 * * * * [progress]: [ 544 / 4148 ] simplifiying candidate # 408.098 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 408.098 * * [simplify]: iters left: 6 (22 enodes) 408.104 * * [simplify]: iters left: 5 (80 enodes) 408.118 * * [simplify]: iters left: 4 (158 enodes) 408.170 * * [simplify]: iters left: 3 (307 enodes) 408.279 * * [simplify]: iters left: 2 (462 enodes) 408.485 * * [simplify]: Extracting #0: cost 1 inf + 0 408.486 * * [simplify]: Extracting #1: cost 47 inf + 0 408.486 * * [simplify]: Extracting #2: cost 100 inf + 1 408.487 * * [simplify]: Extracting #3: cost 125 inf + 4 408.488 * * [simplify]: Extracting #4: cost 142 inf + 6 408.489 * * [simplify]: Extracting #5: cost 132 inf + 1099 408.491 * * [simplify]: Extracting #6: cost 91 inf + 13317 408.496 * * [simplify]: Extracting #7: cost 63 inf + 23655 408.505 * * [simplify]: Extracting #8: cost 15 inf + 56518 408.522 * * [simplify]: Extracting #9: cost 0 inf + 67492 408.540 * [simplify]: Simplified to (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2))))) 408.540 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 408.540 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 408.541 * * [simplify]: iters left: 6 (20 enodes) 408.546 * * [simplify]: iters left: 5 (71 enodes) 408.558 * * [simplify]: iters left: 4 (121 enodes) 408.579 * * [simplify]: iters left: 3 (196 enodes) 408.622 * * [simplify]: iters left: 2 (264 enodes) 408.683 * * [simplify]: iters left: 1 (346 enodes) 408.783 * * [simplify]: Extracting #0: cost 1 inf + 0 408.783 * * [simplify]: Extracting #1: cost 21 inf + 0 408.783 * * [simplify]: Extracting #2: cost 41 inf + 1 408.784 * * [simplify]: Extracting #3: cost 64 inf + 1 408.784 * * [simplify]: Extracting #4: cost 83 inf + 2 408.784 * * [simplify]: Extracting #5: cost 83 inf + 64 408.785 * * [simplify]: Extracting #6: cost 74 inf + 1038 408.786 * * [simplify]: Extracting #7: cost 38 inf + 10332 408.789 * * [simplify]: Extracting #8: cost 4 inf + 26191 408.795 * * [simplify]: Extracting #9: cost 0 inf + 28401 408.804 * [simplify]: Simplified to (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) 408.804 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 408.805 * * * * [progress]: [ 545 / 4148 ] simplifiying candidate # 408.805 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 408.805 * * [simplify]: iters left: 6 (25 enodes) 408.818 * * [simplify]: iters left: 5 (94 enodes) 408.850 * * [simplify]: iters left: 4 (184 enodes) 408.905 * * [simplify]: iters left: 3 (397 enodes) 409.075 * * [simplify]: Extracting #0: cost 1 inf + 0 409.076 * * [simplify]: Extracting #1: cost 93 inf + 0 409.077 * * [simplify]: Extracting #2: cost 198 inf + 0 409.079 * * [simplify]: Extracting #3: cost 215 inf + 203 409.081 * * [simplify]: Extracting #4: cost 231 inf + 448 409.083 * * [simplify]: Extracting #5: cost 230 inf + 775 409.087 * * [simplify]: Extracting #6: cost 195 inf + 12443 409.118 * * [simplify]: Extracting #7: cost 50 inf + 108730 409.160 * * [simplify]: Extracting #8: cost 1 inf + 146326 409.210 * * [simplify]: Extracting #9: cost 0 inf + 146989 409.270 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)))) 409.270 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 409.271 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 409.271 * * [simplify]: iters left: 6 (22 enodes) 409.282 * * [simplify]: iters left: 5 (77 enodes) 409.308 * * [simplify]: iters left: 4 (127 enodes) 409.350 * * [simplify]: iters left: 3 (202 enodes) 409.402 * * [simplify]: iters left: 2 (268 enodes) 409.451 * * [simplify]: iters left: 1 (350 enodes) 409.562 * * [simplify]: Extracting #0: cost 1 inf + 0 409.563 * * [simplify]: Extracting #1: cost 21 inf + 0 409.563 * * [simplify]: Extracting #2: cost 44 inf + 0 409.563 * * [simplify]: Extracting #3: cost 67 inf + 1 409.563 * * [simplify]: Extracting #4: cost 86 inf + 164 409.564 * * [simplify]: Extracting #5: cost 85 inf + 287 409.564 * * [simplify]: Extracting #6: cost 82 inf + 492 409.564 * * [simplify]: Extracting #7: cost 74 inf + 1543 409.566 * * [simplify]: Extracting #8: cost 34 inf + 13627 409.570 * * [simplify]: Extracting #9: cost 3 inf + 28919 409.576 * * [simplify]: Extracting #10: cost 0 inf + 30687 409.581 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1))) 409.581 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 409.581 * * * * [progress]: [ 546 / 4148 ] simplifiying candidate # 409.581 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 409.582 * * [simplify]: iters left: 6 (24 enodes) 409.588 * * [simplify]: iters left: 5 (89 enodes) 409.605 * * [simplify]: iters left: 4 (171 enodes) 409.657 * * [simplify]: iters left: 3 (341 enodes) 409.766 * * [simplify]: Extracting #0: cost 1 inf + 0 409.767 * * [simplify]: Extracting #1: cost 68 inf + 0 409.767 * * [simplify]: Extracting #2: cost 123 inf + 0 409.768 * * [simplify]: Extracting #3: cost 141 inf + 42 409.770 * * [simplify]: Extracting #4: cost 159 inf + 84 409.771 * * [simplify]: Extracting #5: cost 159 inf + 290 409.772 * * [simplify]: Extracting #6: cost 149 inf + 1465 409.775 * * [simplify]: Extracting #7: cost 105 inf + 16300 409.787 * * [simplify]: Extracting #8: cost 33 inf + 63033 409.812 * * [simplify]: Extracting #9: cost 0 inf + 87663 409.833 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 409.833 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 409.833 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 409.833 * * [simplify]: iters left: 6 (22 enodes) 409.839 * * [simplify]: iters left: 5 (77 enodes) 409.852 * * [simplify]: iters left: 4 (127 enodes) 409.879 * * [simplify]: iters left: 3 (202 enodes) 409.929 * * [simplify]: iters left: 2 (268 enodes) 410.022 * * [simplify]: iters left: 1 (350 enodes) 410.170 * * [simplify]: Extracting #0: cost 1 inf + 0 410.170 * * [simplify]: Extracting #1: cost 21 inf + 0 410.171 * * [simplify]: Extracting #2: cost 44 inf + 0 410.171 * * [simplify]: Extracting #3: cost 67 inf + 1 410.172 * * [simplify]: Extracting #4: cost 86 inf + 84 410.172 * * [simplify]: Extracting #5: cost 85 inf + 207 410.173 * * [simplify]: Extracting #6: cost 82 inf + 412 410.174 * * [simplify]: Extracting #7: cost 74 inf + 1463 410.177 * * [simplify]: Extracting #8: cost 34 inf + 13347 410.186 * * [simplify]: Extracting #9: cost 3 inf + 28079 410.191 * * [simplify]: Extracting #10: cost 0 inf + 29807 410.196 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 410.196 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 410.197 * * * * [progress]: [ 547 / 4148 ] simplifiying candidate # 410.197 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 410.197 * * [simplify]: iters left: 6 (23 enodes) 410.203 * * [simplify]: iters left: 5 (84 enodes) 410.225 * * [simplify]: iters left: 4 (154 enodes) 410.254 * * [simplify]: iters left: 3 (279 enodes) 410.352 * * [simplify]: iters left: 2 (444 enodes) 410.549 * * [simplify]: Extracting #0: cost 1 inf + 0 410.549 * * [simplify]: Extracting #1: cost 45 inf + 0 410.550 * * [simplify]: Extracting #2: cost 88 inf + 1 410.551 * * [simplify]: Extracting #3: cost 118 inf + 1 410.552 * * [simplify]: Extracting #4: cost 138 inf + 2 410.553 * * [simplify]: Extracting #5: cost 136 inf + 268 410.555 * * [simplify]: Extracting #6: cost 126 inf + 1502 410.558 * * [simplify]: Extracting #7: cost 83 inf + 12307 410.574 * * [simplify]: Extracting #8: cost 25 inf + 44361 410.602 * * [simplify]: Extracting #9: cost 0 inf + 62878 410.629 * * [simplify]: Extracting #10: cost 0 inf + 62838 410.645 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (sqrt (cbrt (sqrt 2))))) 410.645 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 410.646 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 410.646 * * [simplify]: iters left: 6 (21 enodes) 410.652 * * [simplify]: iters left: 5 (74 enodes) 410.671 * * [simplify]: iters left: 4 (124 enodes) 410.711 * * [simplify]: iters left: 3 (199 enodes) 410.775 * * [simplify]: iters left: 2 (266 enodes) 410.841 * * [simplify]: iters left: 1 (348 enodes) 410.941 * * [simplify]: Extracting #0: cost 1 inf + 0 410.941 * * [simplify]: Extracting #1: cost 21 inf + 0 410.941 * * [simplify]: Extracting #2: cost 41 inf + 1 410.941 * * [simplify]: Extracting #3: cost 65 inf + 1 410.942 * * [simplify]: Extracting #4: cost 85 inf + 2 410.943 * * [simplify]: Extracting #5: cost 85 inf + 64 410.944 * * [simplify]: Extracting #6: cost 72 inf + 1803 410.947 * * [simplify]: Extracting #7: cost 33 inf + 12223 410.956 * * [simplify]: Extracting #8: cost 3 inf + 27176 410.966 * * [simplify]: Extracting #9: cost 0 inf + 28723 410.976 * [simplify]: Simplified to (/ a1 (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt (cbrt (sqrt 2))))))) 410.976 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ a1 (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 410.977 * * * * [progress]: [ 548 / 4148 ] simplifiying candidate # 410.977 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 410.978 * * [simplify]: iters left: 6 (24 enodes) 410.992 * * [simplify]: iters left: 5 (91 enodes) 411.015 * * [simplify]: iters left: 4 (175 enodes) 411.060 * * [simplify]: iters left: 3 (376 enodes) 411.228 * * [simplify]: Extracting #0: cost 1 inf + 0 411.228 * * [simplify]: Extracting #1: cost 71 inf + 0 411.234 * * [simplify]: Extracting #2: cost 149 inf + 1 411.235 * * [simplify]: Extracting #3: cost 163 inf + 286 411.237 * * [simplify]: Extracting #4: cost 176 inf + 1381 411.238 * * [simplify]: Extracting #5: cost 169 inf + 2659 411.240 * * [simplify]: Extracting #6: cost 141 inf + 9897 411.251 * * [simplify]: Extracting #7: cost 41 inf + 67757 411.272 * * [simplify]: Extracting #8: cost 1 inf + 94541 411.311 * * [simplify]: Extracting #9: cost 0 inf + 95204 411.353 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) 411.353 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 411.354 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 411.354 * * [simplify]: iters left: 6 (20 enodes) 411.364 * * [simplify]: iters left: 5 (71 enodes) 411.385 * * [simplify]: iters left: 4 (121 enodes) 411.406 * * [simplify]: iters left: 3 (196 enodes) 411.456 * * [simplify]: iters left: 2 (271 enodes) 411.514 * * [simplify]: iters left: 1 (376 enodes) 411.651 * * [simplify]: Extracting #0: cost 1 inf + 0 411.651 * * [simplify]: Extracting #1: cost 25 inf + 0 411.651 * * [simplify]: Extracting #2: cost 53 inf + 1 411.652 * * [simplify]: Extracting #3: cost 71 inf + 164 411.652 * * [simplify]: Extracting #4: cost 90 inf + 164 411.653 * * [simplify]: Extracting #5: cost 79 inf + 1099 411.656 * * [simplify]: Extracting #6: cost 52 inf + 7411 411.663 * * [simplify]: Extracting #7: cost 7 inf + 27503 411.675 * * [simplify]: Extracting #8: cost 0 inf + 31703 411.687 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 411.688 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 411.688 * * * * [progress]: [ 549 / 4148 ] simplifiying candidate # 411.688 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (sqrt a1))) 411.689 * * [simplify]: iters left: 6 (23 enodes) 411.703 * * [simplify]: iters left: 5 (86 enodes) 411.731 * * [simplify]: iters left: 4 (159 enodes) 411.769 * * [simplify]: iters left: 3 (290 enodes) 411.848 * * [simplify]: Extracting #0: cost 1 inf + 0 411.849 * * [simplify]: Extracting #1: cost 46 inf + 0 411.849 * * [simplify]: Extracting #2: cost 78 inf + 1 411.849 * * [simplify]: Extracting #3: cost 93 inf + 84 411.850 * * [simplify]: Extracting #4: cost 111 inf + 412 411.850 * * [simplify]: Extracting #5: cost 110 inf + 780 411.851 * * [simplify]: Extracting #6: cost 104 inf + 1267 411.854 * * [simplify]: Extracting #7: cost 60 inf + 13662 411.863 * * [simplify]: Extracting #8: cost 8 inf + 43976 411.873 * * [simplify]: Extracting #9: cost 0 inf + 49582 411.889 * [simplify]: Simplified to (* (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 411.889 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 411.890 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 411.890 * * [simplify]: iters left: 6 (20 enodes) 411.900 * * [simplify]: iters left: 5 (71 enodes) 411.925 * * [simplify]: iters left: 4 (121 enodes) 411.955 * * [simplify]: iters left: 3 (196 enodes) 412.001 * * [simplify]: iters left: 2 (271 enodes) 412.090 * * [simplify]: iters left: 1 (376 enodes) 412.204 * * [simplify]: Extracting #0: cost 1 inf + 0 412.204 * * [simplify]: Extracting #1: cost 25 inf + 0 412.204 * * [simplify]: Extracting #2: cost 53 inf + 1 412.204 * * [simplify]: Extracting #3: cost 71 inf + 84 412.205 * * [simplify]: Extracting #4: cost 90 inf + 84 412.205 * * [simplify]: Extracting #5: cost 79 inf + 1019 412.206 * * [simplify]: Extracting #6: cost 52 inf + 7251 412.211 * * [simplify]: Extracting #7: cost 7 inf + 26663 412.223 * * [simplify]: Extracting #8: cost 0 inf + 30703 412.235 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 412.235 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 412.235 * * * * [progress]: [ 550 / 4148 ] simplifiying candidate # 412.236 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) 1)) 412.236 * * [simplify]: iters left: 6 (22 enodes) 412.248 * * [simplify]: iters left: 5 (81 enodes) 412.265 * * [simplify]: iters left: 4 (139 enodes) 412.300 * * [simplify]: iters left: 3 (219 enodes) 412.346 * * [simplify]: iters left: 2 (311 enodes) 412.444 * * [simplify]: iters left: 1 (460 enodes) 412.657 * * [simplify]: Extracting #0: cost 1 inf + 0 412.658 * * [simplify]: Extracting #1: cost 19 inf + 0 412.658 * * [simplify]: Extracting #2: cost 35 inf + 1 412.658 * * [simplify]: Extracting #3: cost 57 inf + 1 412.658 * * [simplify]: Extracting #4: cost 77 inf + 2 412.659 * * [simplify]: Extracting #5: cost 77 inf + 64 412.659 * * [simplify]: Extracting #6: cost 63 inf + 2149 412.661 * * [simplify]: Extracting #7: cost 29 inf + 11260 412.666 * * [simplify]: Extracting #8: cost 7 inf + 22301 412.675 * * [simplify]: Extracting #9: cost 0 inf + 25858 412.683 * [simplify]: Simplified to (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 412.683 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 412.684 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 412.684 * * [simplify]: iters left: 6 (19 enodes) 412.694 * * [simplify]: iters left: 5 (68 enodes) 412.718 * * [simplify]: iters left: 4 (118 enodes) 412.739 * * [simplify]: iters left: 3 (193 enodes) 412.787 * * [simplify]: iters left: 2 (267 enodes) 412.856 * * [simplify]: iters left: 1 (362 enodes) 412.987 * * [simplify]: Extracting #0: cost 1 inf + 0 412.987 * * [simplify]: Extracting #1: cost 26 inf + 0 412.988 * * [simplify]: Extracting #2: cost 51 inf + 2 412.988 * * [simplify]: Extracting #3: cost 72 inf + 2 412.988 * * [simplify]: Extracting #4: cost 92 inf + 2 412.989 * * [simplify]: Extracting #5: cost 81 inf + 1138 412.991 * * [simplify]: Extracting #6: cost 30 inf + 17293 412.996 * * [simplify]: Extracting #7: cost 2 inf + 29001 413.002 * * [simplify]: Extracting #8: cost 0 inf + 30067 413.008 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 413.008 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt 1) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 413.008 * * * * [progress]: [ 551 / 4148 ] simplifiying candidate # 413.009 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 413.009 * * [simplify]: iters left: 6 (25 enodes) 413.021 * * [simplify]: iters left: 5 (98 enodes) 413.046 * * [simplify]: iters left: 4 (216 enodes) 413.118 * * [simplify]: Extracting #0: cost 1 inf + 0 413.118 * * [simplify]: Extracting #1: cost 76 inf + 0 413.119 * * [simplify]: Extracting #2: cost 162 inf + 0 413.120 * * [simplify]: Extracting #3: cost 189 inf + 203 413.122 * * [simplify]: Extracting #4: cost 203 inf + 406 413.123 * * [simplify]: Extracting #5: cost 200 inf + 733 413.126 * * [simplify]: Extracting #6: cost 173 inf + 8886 413.150 * * [simplify]: Extracting #7: cost 43 inf + 88277 413.189 * * [simplify]: Extracting #8: cost 0 inf + 119154 413.220 * * [simplify]: Extracting #9: cost 0 inf + 118914 413.241 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) 413.241 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 413.242 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 413.242 * * [simplify]: iters left: 6 (21 enodes) 413.253 * * [simplify]: iters left: 5 (74 enodes) 413.278 * * [simplify]: iters left: 4 (124 enodes) 413.306 * * [simplify]: iters left: 3 (199 enodes) 413.351 * * [simplify]: iters left: 2 (266 enodes) 413.444 * * [simplify]: iters left: 1 (348 enodes) 413.577 * * [simplify]: Extracting #0: cost 1 inf + 0 413.577 * * [simplify]: Extracting #1: cost 21 inf + 0 413.577 * * [simplify]: Extracting #2: cost 44 inf + 0 413.577 * * [simplify]: Extracting #3: cost 65 inf + 82 413.577 * * [simplify]: Extracting #4: cost 83 inf + 164 413.578 * * [simplify]: Extracting #5: cost 83 inf + 226 413.578 * * [simplify]: Extracting #6: cost 73 inf + 1522 413.580 * * [simplify]: Extracting #7: cost 38 inf + 10071 413.583 * * [simplify]: Extracting #8: cost 5 inf + 27232 413.589 * * [simplify]: Extracting #9: cost 0 inf + 30163 413.594 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 413.594 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 413.595 * * * * [progress]: [ 552 / 4148 ] simplifiying candidate # 413.595 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 413.595 * * [simplify]: iters left: 6 (24 enodes) 413.601 * * [simplify]: iters left: 5 (91 enodes) 413.632 * * [simplify]: iters left: 4 (184 enodes) 413.678 * * [simplify]: iters left: 3 (431 enodes) 413.904 * * [simplify]: Extracting #0: cost 1 inf + 0 413.905 * * [simplify]: Extracting #1: cost 116 inf + 0 413.906 * * [simplify]: Extracting #2: cost 222 inf + 0 413.911 * * [simplify]: Extracting #3: cost 239 inf + 42 413.913 * * [simplify]: Extracting #4: cost 256 inf + 126 413.914 * * [simplify]: Extracting #5: cost 256 inf + 351 413.916 * * [simplify]: Extracting #6: cost 223 inf + 9332 413.933 * * [simplify]: Extracting #7: cost 69 inf + 107077 413.996 * * [simplify]: Extracting #8: cost 0 inf + 158613 414.065 * * [simplify]: Extracting #9: cost 0 inf + 158493 414.107 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) 414.108 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 414.108 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 414.109 * * [simplify]: iters left: 6 (21 enodes) 414.119 * * [simplify]: iters left: 5 (74 enodes) 414.135 * * [simplify]: iters left: 4 (124 enodes) 414.155 * * [simplify]: iters left: 3 (199 enodes) 414.219 * * [simplify]: iters left: 2 (266 enodes) 414.302 * * [simplify]: iters left: 1 (348 enodes) 414.408 * * [simplify]: Extracting #0: cost 1 inf + 0 414.408 * * [simplify]: Extracting #1: cost 21 inf + 0 414.408 * * [simplify]: Extracting #2: cost 44 inf + 0 414.409 * * [simplify]: Extracting #3: cost 65 inf + 42 414.409 * * [simplify]: Extracting #4: cost 83 inf + 84 414.410 * * [simplify]: Extracting #5: cost 83 inf + 146 414.411 * * [simplify]: Extracting #6: cost 73 inf + 1442 414.414 * * [simplify]: Extracting #7: cost 38 inf + 9991 414.422 * * [simplify]: Extracting #8: cost 5 inf + 26472 414.432 * * [simplify]: Extracting #9: cost 0 inf + 29283 414.440 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 414.440 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 414.440 * * * * [progress]: [ 553 / 4148 ] simplifiying candidate # 414.440 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 414.440 * * [simplify]: iters left: 6 (23 enodes) 414.446 * * [simplify]: iters left: 5 (86 enodes) 414.462 * * [simplify]: iters left: 4 (174 enodes) 414.520 * * [simplify]: iters left: 3 (387 enodes) 414.688 * * [simplify]: Extracting #0: cost 1 inf + 0 414.689 * * [simplify]: Extracting #1: cost 63 inf + 0 414.689 * * [simplify]: Extracting #2: cost 134 inf + 1 414.690 * * [simplify]: Extracting #3: cost 155 inf + 1 414.690 * * [simplify]: Extracting #4: cost 174 inf + 2 414.691 * * [simplify]: Extracting #5: cost 173 inf + 310 414.692 * * [simplify]: Extracting #6: cost 170 inf + 413 414.693 * * [simplify]: Extracting #7: cost 163 inf + 1604 414.695 * * [simplify]: Extracting #8: cost 121 inf + 14730 414.708 * * [simplify]: Extracting #9: cost 33 inf + 69622 414.741 * * [simplify]: Extracting #10: cost 1 inf + 91100 414.768 * * [simplify]: Extracting #11: cost 0 inf + 91924 414.790 * [simplify]: Simplified to (* (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 414.790 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 414.791 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 414.791 * * [simplify]: iters left: 6 (20 enodes) 414.798 * * [simplify]: iters left: 5 (71 enodes) 414.812 * * [simplify]: iters left: 4 (121 enodes) 414.831 * * [simplify]: iters left: 3 (196 enodes) 414.890 * * [simplify]: iters left: 2 (264 enodes) 414.984 * * [simplify]: iters left: 1 (346 enodes) 415.140 * * [simplify]: Extracting #0: cost 1 inf + 0 415.141 * * [simplify]: Extracting #1: cost 21 inf + 0 415.141 * * [simplify]: Extracting #2: cost 41 inf + 1 415.141 * * [simplify]: Extracting #3: cost 64 inf + 1 415.142 * * [simplify]: Extracting #4: cost 83 inf + 2 415.142 * * [simplify]: Extracting #5: cost 83 inf + 64 415.143 * * [simplify]: Extracting #6: cost 74 inf + 1038 415.146 * * [simplify]: Extracting #7: cost 38 inf + 10332 415.153 * * [simplify]: Extracting #8: cost 4 inf + 26191 415.158 * * [simplify]: Extracting #9: cost 0 inf + 28401 415.163 * [simplify]: Simplified to (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) 415.163 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 415.163 * * * * [progress]: [ 554 / 4148 ] simplifiying candidate # 415.163 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 415.164 * * [simplify]: iters left: 6 (24 enodes) 415.170 * * [simplify]: iters left: 5 (91 enodes) 415.186 * * [simplify]: iters left: 4 (181 enodes) 415.257 * * [simplify]: iters left: 3 (396 enodes) 415.449 * * [simplify]: Extracting #0: cost 1 inf + 0 415.449 * * [simplify]: Extracting #1: cost 95 inf + 0 415.450 * * [simplify]: Extracting #2: cost 203 inf + 0 415.451 * * [simplify]: Extracting #3: cost 219 inf + 163 415.452 * * [simplify]: Extracting #4: cost 236 inf + 327 415.453 * * [simplify]: Extracting #5: cost 235 inf + 714 415.454 * * [simplify]: Extracting #6: cost 210 inf + 6636 415.472 * * [simplify]: Extracting #7: cost 60 inf + 99255 415.515 * * [simplify]: Extracting #8: cost 0 inf + 143845 415.572 * * [simplify]: Extracting #9: cost 0 inf + 143685 415.621 * * [simplify]: Extracting #10: cost 0 inf + 143605 415.667 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (sqrt (cbrt (cbrt (sqrt 2))))) 415.667 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 415.668 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 415.668 * * [simplify]: iters left: 6 (21 enodes) 415.679 * * [simplify]: iters left: 5 (74 enodes) 415.703 * * [simplify]: iters left: 4 (124 enodes) 415.744 * * [simplify]: iters left: 3 (199 enodes) 415.786 * * [simplify]: iters left: 2 (266 enodes) 415.881 * * [simplify]: iters left: 1 (348 enodes) 415.972 * * [simplify]: Extracting #0: cost 1 inf + 0 415.972 * * [simplify]: Extracting #1: cost 21 inf + 0 415.972 * * [simplify]: Extracting #2: cost 44 inf + 0 415.972 * * [simplify]: Extracting #3: cost 65 inf + 82 415.973 * * [simplify]: Extracting #4: cost 83 inf + 164 415.973 * * [simplify]: Extracting #5: cost 83 inf + 226 415.974 * * [simplify]: Extracting #6: cost 73 inf + 1522 415.975 * * [simplify]: Extracting #7: cost 38 inf + 9991 415.979 * * [simplify]: Extracting #8: cost 5 inf + 26392 415.988 * * [simplify]: Extracting #9: cost 0 inf + 29203 415.998 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 415.998 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 415.999 * * * * [progress]: [ 555 / 4148 ] simplifiying candidate # 415.999 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 416.000 * * [simplify]: iters left: 6 (23 enodes) 416.011 * * [simplify]: iters left: 5 (86 enodes) 416.032 * * [simplify]: iters left: 4 (168 enodes) 416.075 * * [simplify]: iters left: 3 (336 enodes) 416.187 * * [simplify]: Extracting #0: cost 1 inf + 0 416.187 * * [simplify]: Extracting #1: cost 68 inf + 0 416.187 * * [simplify]: Extracting #2: cost 123 inf + 0 416.188 * * [simplify]: Extracting #3: cost 140 inf + 42 416.188 * * [simplify]: Extracting #4: cost 158 inf + 84 416.189 * * [simplify]: Extracting #5: cost 157 inf + 392 416.189 * * [simplify]: Extracting #6: cost 150 inf + 1059 416.193 * * [simplify]: Extracting #7: cost 92 inf + 24232 416.215 * * [simplify]: Extracting #8: cost 16 inf + 71798 416.235 * * [simplify]: Extracting #9: cost 0 inf + 83044 416.268 * [simplify]: Simplified to (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 416.268 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 416.269 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 416.269 * * [simplify]: iters left: 6 (21 enodes) 416.279 * * [simplify]: iters left: 5 (74 enodes) 416.305 * * [simplify]: iters left: 4 (124 enodes) 416.343 * * [simplify]: iters left: 3 (199 enodes) 416.384 * * [simplify]: iters left: 2 (266 enodes) 416.447 * * [simplify]: iters left: 1 (348 enodes) 416.589 * * [simplify]: Extracting #0: cost 1 inf + 0 416.589 * * [simplify]: Extracting #1: cost 21 inf + 0 416.589 * * [simplify]: Extracting #2: cost 44 inf + 0 416.589 * * [simplify]: Extracting #3: cost 65 inf + 42 416.590 * * [simplify]: Extracting #4: cost 83 inf + 84 416.590 * * [simplify]: Extracting #5: cost 83 inf + 146 416.591 * * [simplify]: Extracting #6: cost 73 inf + 1442 416.594 * * [simplify]: Extracting #7: cost 38 inf + 9911 416.600 * * [simplify]: Extracting #8: cost 5 inf + 25632 416.605 * * [simplify]: Extracting #9: cost 0 inf + 28323 416.610 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 416.610 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 416.610 * * * * [progress]: [ 556 / 4148 ] simplifiying candidate # 416.610 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 416.611 * * [simplify]: iters left: 6 (22 enodes) 416.616 * * [simplify]: iters left: 5 (81 enodes) 416.642 * * [simplify]: iters left: 4 (151 enodes) 416.698 * * [simplify]: iters left: 3 (274 enodes) 416.806 * * [simplify]: iters left: 2 (436 enodes) 416.975 * * [simplify]: Extracting #0: cost 1 inf + 0 416.975 * * [simplify]: Extracting #1: cost 46 inf + 0 416.975 * * [simplify]: Extracting #2: cost 89 inf + 1 416.976 * * [simplify]: Extracting #3: cost 118 inf + 1 416.977 * * [simplify]: Extracting #4: cost 137 inf + 2 416.978 * * [simplify]: Extracting #5: cost 135 inf + 268 416.979 * * [simplify]: Extracting #6: cost 128 inf + 936 416.983 * * [simplify]: Extracting #7: cost 84 inf + 12288 417.001 * * [simplify]: Extracting #8: cost 12 inf + 52928 417.030 * * [simplify]: Extracting #9: cost 0 inf + 60739 417.050 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt (cbrt (cbrt (sqrt 2))))) 417.050 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 417.050 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 417.051 * * [simplify]: iters left: 6 (20 enodes) 417.056 * * [simplify]: iters left: 5 (71 enodes) 417.071 * * [simplify]: iters left: 4 (121 enodes) 417.091 * * [simplify]: iters left: 3 (196 enodes) 417.122 * * [simplify]: iters left: 2 (264 enodes) 417.177 * * [simplify]: iters left: 1 (346 enodes) 417.270 * * [simplify]: Extracting #0: cost 1 inf + 0 417.271 * * [simplify]: Extracting #1: cost 21 inf + 0 417.271 * * [simplify]: Extracting #2: cost 41 inf + 1 417.271 * * [simplify]: Extracting #3: cost 64 inf + 1 417.272 * * [simplify]: Extracting #4: cost 83 inf + 2 417.272 * * [simplify]: Extracting #5: cost 83 inf + 64 417.273 * * [simplify]: Extracting #6: cost 74 inf + 1038 417.276 * * [simplify]: Extracting #7: cost 38 inf + 10212 417.283 * * [simplify]: Extracting #8: cost 4 inf + 25351 417.295 * * [simplify]: Extracting #9: cost 0 inf + 27441 417.304 * [simplify]: Simplified to (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) 417.304 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 417.305 * * * * [progress]: [ 557 / 4148 ] simplifiying candidate # 417.305 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 417.306 * * [simplify]: iters left: 6 (23 enodes) 417.317 * * [simplify]: iters left: 5 (88 enodes) 417.349 * * [simplify]: iters left: 4 (174 enodes) 417.412 * * [simplify]: iters left: 3 (361 enodes) 417.601 * * [simplify]: Extracting #0: cost 1 inf + 0 417.602 * * [simplify]: Extracting #1: cost 71 inf + 0 417.603 * * [simplify]: Extracting #2: cost 148 inf + 1 417.604 * * [simplify]: Extracting #3: cost 163 inf + 325 417.607 * * [simplify]: Extracting #4: cost 173 inf + 1664 417.609 * * [simplify]: Extracting #5: cost 171 inf + 2193 417.613 * * [simplify]: Extracting #6: cost 132 inf + 14498 417.640 * * [simplify]: Extracting #7: cost 35 inf + 72091 417.685 * * [simplify]: Extracting #8: cost 1 inf + 95238 417.720 * * [simplify]: Extracting #9: cost 0 inf + 95640 417.741 * [simplify]: Simplified to (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 417.741 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 417.742 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 417.742 * * [simplify]: iters left: 6 (20 enodes) 417.748 * * [simplify]: iters left: 5 (71 enodes) 417.772 * * [simplify]: iters left: 4 (121 enodes) 417.816 * * [simplify]: iters left: 3 (196 enodes) 417.863 * * [simplify]: iters left: 2 (271 enodes) 417.935 * * [simplify]: iters left: 1 (376 enodes) 418.042 * * [simplify]: Extracting #0: cost 1 inf + 0 418.042 * * [simplify]: Extracting #1: cost 25 inf + 0 418.042 * * [simplify]: Extracting #2: cost 53 inf + 1 418.042 * * [simplify]: Extracting #3: cost 71 inf + 164 418.043 * * [simplify]: Extracting #4: cost 90 inf + 164 418.044 * * [simplify]: Extracting #5: cost 79 inf + 1099 418.046 * * [simplify]: Extracting #6: cost 52 inf + 7411 418.054 * * [simplify]: Extracting #7: cost 7 inf + 27503 418.064 * * [simplify]: Extracting #8: cost 0 inf + 31703 418.071 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 418.071 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 418.071 * * * * [progress]: [ 558 / 4148 ] simplifiying candidate # 418.071 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (sqrt a1))) 418.071 * * [simplify]: iters left: 6 (22 enodes) 418.079 * * [simplify]: iters left: 5 (83 enodes) 418.095 * * [simplify]: iters left: 4 (161 enodes) 418.147 * * [simplify]: iters left: 3 (300 enodes) 418.222 * * [simplify]: Extracting #0: cost 1 inf + 0 418.222 * * [simplify]: Extracting #1: cost 45 inf + 0 418.222 * * [simplify]: Extracting #2: cost 75 inf + 1 418.223 * * [simplify]: Extracting #3: cost 88 inf + 330 418.223 * * [simplify]: Extracting #4: cost 105 inf + 616 418.224 * * [simplify]: Extracting #5: cost 104 inf + 943 418.224 * * [simplify]: Extracting #6: cost 98 inf + 1610 418.226 * * [simplify]: Extracting #7: cost 55 inf + 16954 418.235 * * [simplify]: Extracting #8: cost 9 inf + 41746 418.250 * * [simplify]: Extracting #9: cost 0 inf + 47171 418.275 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) 418.275 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 418.276 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 418.276 * * [simplify]: iters left: 6 (20 enodes) 418.286 * * [simplify]: iters left: 5 (71 enodes) 418.301 * * [simplify]: iters left: 4 (121 enodes) 418.325 * * [simplify]: iters left: 3 (196 enodes) 418.361 * * [simplify]: iters left: 2 (271 enodes) 418.453 * * [simplify]: iters left: 1 (376 enodes) 418.557 * * [simplify]: Extracting #0: cost 1 inf + 0 418.557 * * [simplify]: Extracting #1: cost 25 inf + 0 418.557 * * [simplify]: Extracting #2: cost 53 inf + 1 418.557 * * [simplify]: Extracting #3: cost 71 inf + 84 418.558 * * [simplify]: Extracting #4: cost 90 inf + 84 418.559 * * [simplify]: Extracting #5: cost 79 inf + 1019 418.562 * * [simplify]: Extracting #6: cost 52 inf + 7251 418.570 * * [simplify]: Extracting #7: cost 7 inf + 26663 418.582 * * [simplify]: Extracting #8: cost 0 inf + 30703 418.590 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 418.590 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 418.590 * * * * [progress]: [ 559 / 4148 ] simplifiying candidate # 418.590 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 1)) 418.591 * * [simplify]: iters left: 6 (21 enodes) 418.596 * * [simplify]: iters left: 5 (76 enodes) 418.609 * * [simplify]: iters left: 4 (135 enodes) 418.641 * * [simplify]: iters left: 3 (209 enodes) 418.696 * * [simplify]: iters left: 2 (287 enodes) 418.783 * * [simplify]: iters left: 1 (353 enodes) 418.900 * * [simplify]: Extracting #0: cost 1 inf + 0 418.901 * * [simplify]: Extracting #1: cost 13 inf + 0 418.901 * * [simplify]: Extracting #2: cost 24 inf + 1 418.901 * * [simplify]: Extracting #3: cost 46 inf + 1 418.901 * * [simplify]: Extracting #4: cost 67 inf + 2 418.901 * * [simplify]: Extracting #5: cost 67 inf + 64 418.902 * * [simplify]: Extracting #6: cost 52 inf + 2090 418.904 * * [simplify]: Extracting #7: cost 20 inf + 10341 418.907 * * [simplify]: Extracting #8: cost 6 inf + 16874 418.911 * * [simplify]: Extracting #9: cost 2 inf + 19224 418.915 * * [simplify]: Extracting #10: cost 0 inf + 20550 418.921 * [simplify]: Simplified to (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 418.921 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 418.921 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 418.922 * * [simplify]: iters left: 6 (19 enodes) 418.927 * * [simplify]: iters left: 5 (68 enodes) 418.942 * * [simplify]: iters left: 4 (118 enodes) 418.975 * * [simplify]: iters left: 3 (193 enodes) 419.014 * * [simplify]: iters left: 2 (267 enodes) 419.114 * * [simplify]: iters left: 1 (362 enodes) 419.238 * * [simplify]: Extracting #0: cost 1 inf + 0 419.238 * * [simplify]: Extracting #1: cost 26 inf + 0 419.238 * * [simplify]: Extracting #2: cost 51 inf + 2 419.239 * * [simplify]: Extracting #3: cost 72 inf + 2 419.239 * * [simplify]: Extracting #4: cost 92 inf + 2 419.239 * * [simplify]: Extracting #5: cost 81 inf + 1138 419.242 * * [simplify]: Extracting #6: cost 30 inf + 17293 419.247 * * [simplify]: Extracting #7: cost 2 inf + 29001 419.253 * * [simplify]: Extracting #8: cost 0 inf + 30067 419.259 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 419.259 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ 1 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 419.259 * * * * [progress]: [ 560 / 4148 ] simplifiying candidate # 419.259 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 1) 419.260 * * [simplify]: iters left: 6 (20 enodes) 419.265 * * [simplify]: iters left: 5 (73 enodes) 419.278 * * [simplify]: iters left: 4 (138 enodes) 419.318 * * [simplify]: iters left: 3 (218 enodes) 419.358 * * [simplify]: iters left: 2 (288 enodes) 419.459 * * [simplify]: iters left: 1 (347 enodes) 419.534 * * [simplify]: Extracting #0: cost 1 inf + 0 419.534 * * [simplify]: Extracting #1: cost 13 inf + 0 419.534 * * [simplify]: Extracting #2: cost 24 inf + 1 419.534 * * [simplify]: Extracting #3: cost 46 inf + 1 419.535 * * [simplify]: Extracting #4: cost 67 inf + 2 419.535 * * [simplify]: Extracting #5: cost 67 inf + 64 419.535 * * [simplify]: Extracting #6: cost 54 inf + 1744 419.537 * * [simplify]: Extracting #7: cost 16 inf + 12129 419.541 * * [simplify]: Extracting #8: cost 3 inf + 18943 419.545 * * [simplify]: Extracting #9: cost 1 inf + 19887 419.549 * * [simplify]: Extracting #10: cost 0 inf + 20550 419.553 * [simplify]: Simplified to (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 419.553 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 419.554 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 419.554 * * [simplify]: iters left: 6 (19 enodes) 419.564 * * [simplify]: iters left: 5 (68 enodes) 419.589 * * [simplify]: iters left: 4 (118 enodes) 419.620 * * [simplify]: iters left: 3 (193 enodes) 419.658 * * [simplify]: iters left: 2 (267 enodes) 419.753 * * [simplify]: iters left: 1 (362 enodes) 419.877 * * [simplify]: Extracting #0: cost 1 inf + 0 419.877 * * [simplify]: Extracting #1: cost 26 inf + 0 419.878 * * [simplify]: Extracting #2: cost 51 inf + 2 419.878 * * [simplify]: Extracting #3: cost 72 inf + 2 419.879 * * [simplify]: Extracting #4: cost 92 inf + 2 419.880 * * [simplify]: Extracting #5: cost 81 inf + 1138 419.884 * * [simplify]: Extracting #6: cost 30 inf + 17293 419.895 * * [simplify]: Extracting #7: cost 2 inf + 29001 419.902 * * [simplify]: Extracting #8: cost 0 inf + 30067 419.908 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 419.908 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) 1) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 419.908 * * * * [progress]: [ 561 / 4148 ] simplifiying candidate # 419.909 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (cbrt (cbrt (sqrt 2)))) 419.909 * * [simplify]: iters left: 6 (20 enodes) 419.914 * * [simplify]: iters left: 5 (75 enodes) 419.928 * * [simplify]: iters left: 4 (143 enodes) 419.969 * * [simplify]: iters left: 3 (243 enodes) 420.026 * * [simplify]: iters left: 2 (351 enodes) 420.105 * * [simplify]: iters left: 1 (481 enodes) 420.295 * * [simplify]: Extracting #0: cost 1 inf + 0 420.295 * * [simplify]: Extracting #1: cost 38 inf + 0 420.295 * * [simplify]: Extracting #2: cost 76 inf + 1 420.296 * * [simplify]: Extracting #3: cost 97 inf + 1 420.297 * * [simplify]: Extracting #4: cost 115 inf + 2 420.298 * * [simplify]: Extracting #5: cost 106 inf + 916 420.303 * * [simplify]: Extracting #6: cost 55 inf + 17667 420.318 * * [simplify]: Extracting #7: cost 5 inf + 44942 420.329 * * [simplify]: Extracting #8: cost 0 inf + 47996 420.343 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) 420.343 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 420.343 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1)) 420.344 * * [simplify]: iters left: 6 (19 enodes) 420.353 * * [simplify]: iters left: 5 (68 enodes) 420.374 * * [simplify]: iters left: 4 (114 enodes) 420.392 * * [simplify]: iters left: 3 (180 enodes) 420.423 * * [simplify]: iters left: 2 (249 enodes) 420.504 * * [simplify]: iters left: 1 (327 enodes) 420.648 * * [simplify]: Extracting #0: cost 1 inf + 0 420.648 * * [simplify]: Extracting #1: cost 12 inf + 0 420.649 * * [simplify]: Extracting #2: cost 21 inf + 2 420.649 * * [simplify]: Extracting #3: cost 41 inf + 86 420.649 * * [simplify]: Extracting #4: cost 63 inf + 86 420.649 * * [simplify]: Extracting #5: cost 63 inf + 148 420.650 * * [simplify]: Extracting #6: cost 47 inf + 2677 420.652 * * [simplify]: Extracting #7: cost 13 inf + 11932 420.655 * * [simplify]: Extracting #8: cost 2 inf + 16397 420.658 * * [simplify]: Extracting #9: cost 0 inf + 17382 420.662 * [simplify]: Simplified to (* a1 (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 420.662 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (cbrt (cbrt (sqrt 2)))) (* a1 (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 420.662 * * * * [progress]: [ 562 / 4148 ] simplifiying candidate # 420.662 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 420.662 * * [simplify]: iters left: 6 (22 enodes) 420.668 * * [simplify]: iters left: 5 (79 enodes) 420.689 * * [simplify]: iters left: 4 (139 enodes) 420.715 * * [simplify]: iters left: 3 (241 enodes) 420.767 * * [simplify]: iters left: 2 (343 enodes) 420.867 * * [simplify]: iters left: 1 (418 enodes) 421.004 * * [simplify]: Extracting #0: cost 1 inf + 0 421.004 * * [simplify]: Extracting #1: cost 23 inf + 0 421.004 * * [simplify]: Extracting #2: cost 48 inf + 0 421.005 * * [simplify]: Extracting #3: cost 72 inf + 0 421.005 * * [simplify]: Extracting #4: cost 91 inf + 2 421.006 * * [simplify]: Extracting #5: cost 89 inf + 227 421.007 * * [simplify]: Extracting #6: cost 83 inf + 936 421.010 * * [simplify]: Extracting #7: cost 46 inf + 10376 421.015 * * [simplify]: Extracting #8: cost 23 inf + 19247 421.021 * * [simplify]: Extracting #9: cost 4 inf + 31762 421.027 * * [simplify]: Extracting #10: cost 0 inf + 34494 421.034 * * [simplify]: Extracting #11: cost 0 inf + 34454 421.041 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (fabs (cbrt (cbrt (sqrt 2))))) 421.041 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 421.042 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 421.042 * * [simplify]: iters left: 6 (20 enodes) 421.052 * * [simplify]: iters left: 5 (69 enodes) 421.075 * * [simplify]: iters left: 4 (112 enodes) 421.113 * * [simplify]: iters left: 3 (169 enodes) 421.164 * * [simplify]: iters left: 2 (218 enodes) 421.244 * * [simplify]: iters left: 1 (275 enodes) 421.327 * * [simplify]: Extracting #0: cost 1 inf + 0 421.327 * * [simplify]: Extracting #1: cost 8 inf + 0 421.327 * * [simplify]: Extracting #2: cost 18 inf + 0 421.327 * * [simplify]: Extracting #3: cost 42 inf + 0 421.327 * * [simplify]: Extracting #4: cost 60 inf + 2 421.327 * * [simplify]: Extracting #5: cost 60 inf + 64 421.328 * * [simplify]: Extracting #6: cost 49 inf + 1481 421.329 * * [simplify]: Extracting #7: cost 18 inf + 9266 421.331 * * [simplify]: Extracting #8: cost 4 inf + 13215 421.334 * * [simplify]: Extracting #9: cost 0 inf + 15646 421.337 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (fabs (cbrt (cbrt (sqrt 2))))) 421.337 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 421.337 * * * * [progress]: [ 563 / 4148 ] simplifiying candidate # 421.337 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 421.337 * * [simplify]: iters left: 6 (21 enodes) 421.347 * * [simplify]: iters left: 5 (74 enodes) 421.367 * * [simplify]: iters left: 4 (127 enodes) 421.389 * * [simplify]: iters left: 3 (204 enodes) 421.425 * * [simplify]: iters left: 2 (266 enodes) 421.496 * * [simplify]: iters left: 1 (324 enodes) 421.580 * * [simplify]: Extracting #0: cost 1 inf + 0 421.580 * * [simplify]: Extracting #1: cost 15 inf + 0 421.580 * * [simplify]: Extracting #2: cost 32 inf + 0 421.580 * * [simplify]: Extracting #3: cost 56 inf + 0 421.581 * * [simplify]: Extracting #4: cost 75 inf + 2 421.581 * * [simplify]: Extracting #5: cost 75 inf + 64 421.581 * * [simplify]: Extracting #6: cost 64 inf + 1320 421.583 * * [simplify]: Extracting #7: cost 32 inf + 8969 421.586 * * [simplify]: Extracting #8: cost 17 inf + 14303 421.589 * * [simplify]: Extracting #9: cost 2 inf + 22524 421.594 * * [simplify]: Extracting #10: cost 0 inf + 23770 421.602 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2)))))) 421.602 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 421.603 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 421.603 * * [simplify]: iters left: 6 (20 enodes) 421.613 * * [simplify]: iters left: 5 (69 enodes) 421.636 * * [simplify]: iters left: 4 (112 enodes) 421.676 * * [simplify]: iters left: 3 (169 enodes) 421.727 * * [simplify]: iters left: 2 (218 enodes) 421.801 * * [simplify]: iters left: 1 (275 enodes) 421.881 * * [simplify]: Extracting #0: cost 1 inf + 0 421.882 * * [simplify]: Extracting #1: cost 8 inf + 0 421.882 * * [simplify]: Extracting #2: cost 18 inf + 0 421.882 * * [simplify]: Extracting #3: cost 42 inf + 0 421.882 * * [simplify]: Extracting #4: cost 60 inf + 2 421.883 * * [simplify]: Extracting #5: cost 60 inf + 64 421.883 * * [simplify]: Extracting #6: cost 49 inf + 1481 421.886 * * [simplify]: Extracting #7: cost 18 inf + 9266 421.891 * * [simplify]: Extracting #8: cost 4 inf + 13055 421.896 * * [simplify]: Extracting #9: cost 0 inf + 15326 421.899 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (fabs (cbrt (cbrt (sqrt 2))))) 421.900 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 421.900 * * * * [progress]: [ 564 / 4148 ] simplifiying candidate # 421.900 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 421.900 * * [simplify]: iters left: 6 (24 enodes) 421.906 * * [simplify]: iters left: 5 (87 enodes) 421.923 * * [simplify]: iters left: 4 (158 enodes) 421.963 * * [simplify]: iters left: 3 (304 enodes) 422.058 * * [simplify]: Extracting #0: cost 1 inf + 0 422.058 * * [simplify]: Extracting #1: cost 52 inf + 0 422.059 * * [simplify]: Extracting #2: cost 117 inf + 0 422.059 * * [simplify]: Extracting #3: cost 136 inf + 82 422.060 * * [simplify]: Extracting #4: cost 152 inf + 327 422.060 * * [simplify]: Extracting #5: cost 152 inf + 612 422.061 * * [simplify]: Extracting #6: cost 144 inf + 1482 422.067 * * [simplify]: Extracting #7: cost 76 inf + 28979 422.091 * * [simplify]: Extracting #8: cost 10 inf + 72817 422.106 * * [simplify]: Extracting #9: cost 0 inf + 80586 422.121 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 422.121 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 422.121 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 422.121 * * [simplify]: iters left: 6 (21 enodes) 422.132 * * [simplify]: iters left: 5 (74 enodes) 422.157 * * [simplify]: iters left: 4 (125 enodes) 422.201 * * [simplify]: iters left: 3 (200 enodes) 422.237 * * [simplify]: iters left: 2 (270 enodes) 422.307 * * [simplify]: iters left: 1 (346 enodes) 422.449 * * [simplify]: Extracting #0: cost 1 inf + 0 422.449 * * [simplify]: Extracting #1: cost 21 inf + 0 422.449 * * [simplify]: Extracting #2: cost 44 inf + 0 422.449 * * [simplify]: Extracting #3: cost 64 inf + 163 422.450 * * [simplify]: Extracting #4: cost 84 inf + 164 422.450 * * [simplify]: Extracting #5: cost 84 inf + 226 422.451 * * [simplify]: Extracting #6: cost 79 inf + 533 422.451 * * [simplify]: Extracting #7: cost 71 inf + 1825 422.453 * * [simplify]: Extracting #8: cost 34 inf + 11463 422.457 * * [simplify]: Extracting #9: cost 5 inf + 26074 422.461 * * [simplify]: Extracting #10: cost 0 inf + 28525 422.467 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 422.467 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 422.467 * * * * [progress]: [ 565 / 4148 ] simplifiying candidate # 422.468 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 422.468 * * [simplify]: iters left: 6 (23 enodes) 422.479 * * [simplify]: iters left: 5 (82 enodes) 422.506 * * [simplify]: iters left: 4 (145 enodes) 422.531 * * [simplify]: iters left: 3 (258 enodes) 422.589 * * [simplify]: iters left: 2 (408 enodes) 422.717 * * [simplify]: Extracting #0: cost 1 inf + 0 422.717 * * [simplify]: Extracting #1: cost 46 inf + 0 422.717 * * [simplify]: Extracting #2: cost 89 inf + 0 422.718 * * [simplify]: Extracting #3: cost 117 inf + 42 422.719 * * [simplify]: Extracting #4: cost 135 inf + 84 422.720 * * [simplify]: Extracting #5: cost 133 inf + 309 422.721 * * [simplify]: Extracting #6: cost 125 inf + 1220 422.725 * * [simplify]: Extracting #7: cost 81 inf + 12617 422.737 * * [simplify]: Extracting #8: cost 33 inf + 37500 422.758 * * [simplify]: Extracting #9: cost 7 inf + 54630 422.770 * * [simplify]: Extracting #10: cost 0 inf + 59631 422.784 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 422.784 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 422.784 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 422.784 * * [simplify]: iters left: 6 (21 enodes) 422.790 * * [simplify]: iters left: 5 (74 enodes) 422.810 * * [simplify]: iters left: 4 (125 enodes) 422.848 * * [simplify]: iters left: 3 (200 enodes) 422.881 * * [simplify]: iters left: 2 (270 enodes) 422.940 * * [simplify]: iters left: 1 (346 enodes) 423.046 * * [simplify]: Extracting #0: cost 1 inf + 0 423.047 * * [simplify]: Extracting #1: cost 21 inf + 0 423.047 * * [simplify]: Extracting #2: cost 44 inf + 0 423.047 * * [simplify]: Extracting #3: cost 64 inf + 83 423.048 * * [simplify]: Extracting #4: cost 84 inf + 84 423.049 * * [simplify]: Extracting #5: cost 84 inf + 146 423.049 * * [simplify]: Extracting #6: cost 79 inf + 453 423.050 * * [simplify]: Extracting #7: cost 71 inf + 1745 423.054 * * [simplify]: Extracting #8: cost 34 inf + 11303 423.061 * * [simplify]: Extracting #9: cost 5 inf + 25314 423.071 * * [simplify]: Extracting #10: cost 0 inf + 27645 423.080 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 423.080 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 423.081 * * * * [progress]: [ 566 / 4148 ] simplifiying candidate # 423.081 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 423.082 * * [simplify]: iters left: 6 (22 enodes) 423.093 * * [simplify]: iters left: 5 (77 enodes) 423.119 * * [simplify]: iters left: 4 (132 enodes) 423.162 * * [simplify]: iters left: 3 (224 enodes) 423.240 * * [simplify]: iters left: 2 (318 enodes) 423.335 * * [simplify]: iters left: 1 (451 enodes) 423.493 * * [simplify]: Extracting #0: cost 1 inf + 0 423.493 * * [simplify]: Extracting #1: cost 20 inf + 0 423.493 * * [simplify]: Extracting #2: cost 44 inf + 1 423.493 * * [simplify]: Extracting #3: cost 67 inf + 1 423.493 * * [simplify]: Extracting #4: cost 86 inf + 2 423.494 * * [simplify]: Extracting #5: cost 86 inf + 64 423.494 * * [simplify]: Extracting #6: cost 76 inf + 1138 423.496 * * [simplify]: Extracting #7: cost 46 inf + 8605 423.499 * * [simplify]: Extracting #8: cost 15 inf + 22513 423.506 * * [simplify]: Extracting #9: cost 2 inf + 30207 423.514 * * [simplify]: Extracting #10: cost 0 inf + 31352 423.522 * [simplify]: Simplified to (/ (/ (* (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2)))))) (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 423.522 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2)))))) (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 423.522 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 423.522 * * [simplify]: iters left: 6 (20 enodes) 423.529 * * [simplify]: iters left: 5 (71 enodes) 423.557 * * [simplify]: iters left: 4 (122 enodes) 423.596 * * [simplify]: iters left: 3 (197 enodes) 423.638 * * [simplify]: iters left: 2 (265 enodes) 423.726 * * [simplify]: iters left: 1 (347 enodes) 423.843 * * [simplify]: Extracting #0: cost 1 inf + 0 423.843 * * [simplify]: Extracting #1: cost 21 inf + 0 423.843 * * [simplify]: Extracting #2: cost 41 inf + 1 423.844 * * [simplify]: Extracting #3: cost 64 inf + 1 423.844 * * [simplify]: Extracting #4: cost 83 inf + 2 423.844 * * [simplify]: Extracting #5: cost 83 inf + 64 423.845 * * [simplify]: Extracting #6: cost 73 inf + 1038 423.846 * * [simplify]: Extracting #7: cost 40 inf + 9607 423.852 * * [simplify]: Extracting #8: cost 7 inf + 23244 423.859 * * [simplify]: Extracting #9: cost 0 inf + 26561 423.867 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) 423.867 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 423.868 * * * * [progress]: [ 567 / 4148 ] simplifiying candidate # 423.868 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 423.868 * * [simplify]: iters left: 6 (27 enodes) 423.880 * * [simplify]: iters left: 5 (97 enodes) 423.909 * * [simplify]: iters left: 4 (168 enodes) 423.959 * * [simplify]: iters left: 3 (314 enodes) 424.072 * * [simplify]: Extracting #0: cost 1 inf + 0 424.072 * * [simplify]: Extracting #1: cost 52 inf + 0 424.072 * * [simplify]: Extracting #2: cost 117 inf + 0 424.073 * * [simplify]: Extracting #3: cost 135 inf + 284 424.074 * * [simplify]: Extracting #4: cost 155 inf + 406 424.074 * * [simplify]: Extracting #5: cost 156 inf + 673 424.075 * * [simplify]: Extracting #6: cost 151 inf + 1160 424.077 * * [simplify]: Extracting #7: cost 117 inf + 8699 424.081 * * [simplify]: Extracting #8: cost 63 inf + 36153 424.095 * * [simplify]: Extracting #9: cost 12 inf + 75575 424.110 * * [simplify]: Extracting #10: cost 0 inf + 85089 424.125 * * [simplify]: Extracting #11: cost 0 inf + 85049 424.140 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (* (cbrt a1) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))))) (* (cbrt (cbrt (fabs (cbrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) 424.140 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (* (cbrt a1) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))))) (* (cbrt (cbrt (fabs (cbrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 424.140 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 424.140 * * [simplify]: iters left: 6 (24 enodes) 424.151 * * [simplify]: iters left: 5 (83 enodes) 424.178 * * [simplify]: iters left: 4 (134 enodes) 424.221 * * [simplify]: iters left: 3 (209 enodes) 424.254 * * [simplify]: iters left: 2 (277 enodes) 424.305 * * [simplify]: iters left: 1 (353 enodes) 424.437 * * [simplify]: Extracting #0: cost 1 inf + 0 424.437 * * [simplify]: Extracting #1: cost 21 inf + 0 424.437 * * [simplify]: Extracting #2: cost 45 inf + 0 424.438 * * [simplify]: Extracting #3: cost 68 inf + 82 424.438 * * [simplify]: Extracting #4: cost 89 inf + 164 424.439 * * [simplify]: Extracting #5: cost 88 inf + 430 424.440 * * [simplify]: Extracting #6: cost 80 inf + 1381 424.443 * * [simplify]: Extracting #7: cost 41 inf + 11600 424.449 * * [simplify]: Extracting #8: cost 20 inf + 19525 424.459 * * [simplify]: Extracting #9: cost 2 inf + 31027 424.470 * * [simplify]: Extracting #10: cost 0 inf + 32451 424.480 * [simplify]: Simplified to (/ (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt (cbrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 424.480 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt (cbrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 424.481 * * * * [progress]: [ 568 / 4148 ] simplifiying candidate # 424.481 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 424.481 * * [simplify]: iters left: 6 (26 enodes) 424.497 * * [simplify]: iters left: 5 (92 enodes) 424.515 * * [simplify]: iters left: 4 (155 enodes) 424.545 * * [simplify]: iters left: 3 (268 enodes) 424.620 * * [simplify]: iters left: 2 (415 enodes) 424.719 * * [simplify]: Extracting #0: cost 1 inf + 0 424.719 * * [simplify]: Extracting #1: cost 46 inf + 0 424.720 * * [simplify]: Extracting #2: cost 87 inf + 0 424.720 * * [simplify]: Extracting #3: cost 116 inf + 42 424.721 * * [simplify]: Extracting #4: cost 137 inf + 84 424.722 * * [simplify]: Extracting #5: cost 137 inf + 350 424.723 * * [simplify]: Extracting #6: cost 130 inf + 1059 424.727 * * [simplify]: Extracting #7: cost 83 inf + 13903 424.738 * * [simplify]: Extracting #8: cost 45 inf + 30914 424.760 * * [simplify]: Extracting #9: cost 12 inf + 53816 424.784 * * [simplify]: Extracting #10: cost 0 inf + 63831 424.806 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (fabs (cbrt 2)))))) 424.807 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 424.807 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 424.808 * * [simplify]: iters left: 6 (24 enodes) 424.819 * * [simplify]: iters left: 5 (83 enodes) 424.847 * * [simplify]: iters left: 4 (134 enodes) 424.890 * * [simplify]: iters left: 3 (209 enodes) 424.948 * * [simplify]: iters left: 2 (277 enodes) 425.001 * * [simplify]: iters left: 1 (353 enodes) 425.125 * * [simplify]: Extracting #0: cost 1 inf + 0 425.125 * * [simplify]: Extracting #1: cost 21 inf + 0 425.125 * * [simplify]: Extracting #2: cost 45 inf + 0 425.126 * * [simplify]: Extracting #3: cost 68 inf + 42 425.126 * * [simplify]: Extracting #4: cost 89 inf + 84 425.126 * * [simplify]: Extracting #5: cost 88 inf + 350 425.127 * * [simplify]: Extracting #6: cost 80 inf + 1301 425.128 * * [simplify]: Extracting #7: cost 41 inf + 11360 425.131 * * [simplify]: Extracting #8: cost 20 inf + 18965 425.136 * * [simplify]: Extracting #9: cost 2 inf + 30147 425.141 * * [simplify]: Extracting #10: cost 0 inf + 31571 425.147 * [simplify]: Simplified to (/ (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt (cbrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 425.147 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (/ (* (sqrt a1) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt (cbrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 425.147 * * * * [progress]: [ 569 / 4148 ] simplifiying candidate # 425.147 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 425.148 * * [simplify]: iters left: 6 (25 enodes) 425.154 * * [simplify]: iters left: 5 (87 enodes) 425.183 * * [simplify]: iters left: 4 (142 enodes) 425.233 * * [simplify]: iters left: 3 (234 enodes) 425.293 * * [simplify]: iters left: 2 (328 enodes) 425.373 * * [simplify]: iters left: 1 (460 enodes) 425.521 * * [simplify]: Extracting #0: cost 1 inf + 0 425.521 * * [simplify]: Extracting #1: cost 20 inf + 0 425.521 * * [simplify]: Extracting #2: cost 44 inf + 1 425.522 * * [simplify]: Extracting #3: cost 68 inf + 1 425.522 * * [simplify]: Extracting #4: cost 90 inf + 2 425.523 * * [simplify]: Extracting #5: cost 92 inf + 64 425.524 * * [simplify]: Extracting #6: cost 85 inf + 654 425.526 * * [simplify]: Extracting #7: cost 52 inf + 7274 425.531 * * [simplify]: Extracting #8: cost 27 inf + 16170 425.540 * * [simplify]: Extracting #9: cost 2 inf + 31632 425.547 * * [simplify]: Extracting #10: cost 0 inf + 33358 425.554 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) 425.554 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 425.555 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 425.555 * * [simplify]: iters left: 6 (23 enodes) 425.561 * * [simplify]: iters left: 5 (80 enodes) 425.582 * * [simplify]: iters left: 4 (131 enodes) 425.623 * * [simplify]: iters left: 3 (206 enodes) 425.665 * * [simplify]: iters left: 2 (277 enodes) 425.726 * * [simplify]: iters left: 1 (353 enodes) 425.846 * * [simplify]: Extracting #0: cost 1 inf + 0 425.846 * * [simplify]: Extracting #1: cost 21 inf + 0 425.846 * * [simplify]: Extracting #2: cost 42 inf + 1 425.846 * * [simplify]: Extracting #3: cost 67 inf + 1 425.846 * * [simplify]: Extracting #4: cost 88 inf + 2 425.847 * * [simplify]: Extracting #5: cost 89 inf + 64 425.847 * * [simplify]: Extracting #6: cost 83 inf + 431 425.848 * * [simplify]: Extracting #7: cost 40 inf + 11501 425.851 * * [simplify]: Extracting #8: cost 19 inf + 19005 425.856 * * [simplify]: Extracting #9: cost 3 inf + 28439 425.861 * * [simplify]: Extracting #10: cost 0 inf + 30487 425.866 * [simplify]: Simplified to (/ (* a1 (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (cbrt 2))))) 425.866 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (* a1 (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 425.866 * * * * [progress]: [ 570 / 4148 ] simplifiying candidate # 425.866 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 425.866 * * [simplify]: iters left: 6 (25 enodes) 425.873 * * [simplify]: iters left: 5 (90 enodes) 425.894 * * [simplify]: iters left: 4 (161 enodes) 425.927 * * [simplify]: iters left: 3 (307 enodes) 426.002 * * [simplify]: Extracting #0: cost 1 inf + 0 426.002 * * [simplify]: Extracting #1: cost 52 inf + 0 426.002 * * [simplify]: Extracting #2: cost 117 inf + 0 426.003 * * [simplify]: Extracting #3: cost 136 inf + 203 426.003 * * [simplify]: Extracting #4: cost 154 inf + 406 426.004 * * [simplify]: Extracting #5: cost 154 inf + 612 426.005 * * [simplify]: Extracting #6: cost 145 inf + 1887 426.008 * * [simplify]: Extracting #7: cost 87 inf + 23657 426.019 * * [simplify]: Extracting #8: cost 10 inf + 72459 426.035 * * [simplify]: Extracting #9: cost 0 inf + 79948 426.050 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 426.050 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 426.050 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 426.050 * * [simplify]: iters left: 6 (23 enodes) 426.056 * * [simplify]: iters left: 5 (80 enodes) 426.072 * * [simplify]: iters left: 4 (131 enodes) 426.093 * * [simplify]: iters left: 3 (206 enodes) 426.158 * * [simplify]: iters left: 2 (277 enodes) 426.235 * * [simplify]: iters left: 1 (353 enodes) 426.356 * * [simplify]: Extracting #0: cost 1 inf + 0 426.356 * * [simplify]: Extracting #1: cost 21 inf + 0 426.356 * * [simplify]: Extracting #2: cost 45 inf + 0 426.357 * * [simplify]: Extracting #3: cost 68 inf + 82 426.357 * * [simplify]: Extracting #4: cost 87 inf + 164 426.358 * * [simplify]: Extracting #5: cost 87 inf + 226 426.359 * * [simplify]: Extracting #6: cost 81 inf + 593 426.362 * * [simplify]: Extracting #7: cost 36 inf + 12627 426.367 * * [simplify]: Extracting #8: cost 17 inf + 20048 426.373 * * [simplify]: Extracting #9: cost 1 inf + 29885 426.378 * * [simplify]: Extracting #10: cost 0 inf + 30247 426.383 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 426.383 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 426.384 * * * * [progress]: [ 571 / 4148 ] simplifiying candidate # 426.384 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 426.384 * * [simplify]: iters left: 6 (24 enodes) 426.390 * * [simplify]: iters left: 5 (85 enodes) 426.415 * * [simplify]: iters left: 4 (148 enodes) 426.464 * * [simplify]: iters left: 3 (261 enodes) 426.529 * * [simplify]: iters left: 2 (410 enodes) 426.681 * * [simplify]: Extracting #0: cost 1 inf + 0 426.681 * * [simplify]: Extracting #1: cost 46 inf + 0 426.682 * * [simplify]: Extracting #2: cost 89 inf + 0 426.683 * * [simplify]: Extracting #3: cost 117 inf + 83 426.684 * * [simplify]: Extracting #4: cost 137 inf + 84 426.685 * * [simplify]: Extracting #5: cost 135 inf + 350 426.687 * * [simplify]: Extracting #6: cost 128 inf + 1179 426.690 * * [simplify]: Extracting #7: cost 84 inf + 12896 426.703 * * [simplify]: Extracting #8: cost 41 inf + 32180 426.723 * * [simplify]: Extracting #9: cost 8 inf + 55091 426.747 * * [simplify]: Extracting #10: cost 0 inf + 60593 426.769 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 426.769 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 426.770 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 426.770 * * [simplify]: iters left: 6 (23 enodes) 426.781 * * [simplify]: iters left: 5 (80 enodes) 426.807 * * [simplify]: iters left: 4 (131 enodes) 426.849 * * [simplify]: iters left: 3 (206 enodes) 426.888 * * [simplify]: iters left: 2 (277 enodes) 426.987 * * [simplify]: iters left: 1 (353 enodes) 427.111 * * [simplify]: Extracting #0: cost 1 inf + 0 427.111 * * [simplify]: Extracting #1: cost 21 inf + 0 427.111 * * [simplify]: Extracting #2: cost 45 inf + 0 427.112 * * [simplify]: Extracting #3: cost 68 inf + 42 427.112 * * [simplify]: Extracting #4: cost 87 inf + 84 427.113 * * [simplify]: Extracting #5: cost 87 inf + 146 427.114 * * [simplify]: Extracting #6: cost 81 inf + 513 427.117 * * [simplify]: Extracting #7: cost 36 inf + 12307 427.124 * * [simplify]: Extracting #8: cost 17 inf + 19488 427.133 * * [simplify]: Extracting #9: cost 1 inf + 29045 427.143 * * [simplify]: Extracting #10: cost 0 inf + 29367 427.152 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 427.153 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 427.153 * * * * [progress]: [ 572 / 4148 ] simplifiying candidate # 427.153 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 427.154 * * [simplify]: iters left: 6 (23 enodes) 427.165 * * [simplify]: iters left: 5 (80 enodes) 427.197 * * [simplify]: iters left: 4 (135 enodes) 427.241 * * [simplify]: iters left: 3 (227 enodes) 427.293 * * [simplify]: iters left: 2 (320 enodes) 427.398 * * [simplify]: iters left: 1 (447 enodes) 427.536 * * [simplify]: Extracting #0: cost 1 inf + 0 427.536 * * [simplify]: Extracting #1: cost 21 inf + 0 427.537 * * [simplify]: Extracting #2: cost 45 inf + 1 427.537 * * [simplify]: Extracting #3: cost 69 inf + 1 427.537 * * [simplify]: Extracting #4: cost 89 inf + 2 427.538 * * [simplify]: Extracting #5: cost 89 inf + 64 427.539 * * [simplify]: Extracting #6: cost 79 inf + 1320 427.545 * * [simplify]: Extracting #7: cost 43 inf + 10818 427.553 * * [simplify]: Extracting #8: cost 16 inf + 21233 427.564 * * [simplify]: Extracting #9: cost 1 inf + 30794 427.571 * * [simplify]: Extracting #10: cost 0 inf + 31617 427.578 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) 427.578 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 427.578 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 427.578 * * [simplify]: iters left: 6 (22 enodes) 427.584 * * [simplify]: iters left: 5 (77 enodes) 427.605 * * [simplify]: iters left: 4 (128 enodes) 427.646 * * [simplify]: iters left: 3 (203 enodes) 427.686 * * [simplify]: iters left: 2 (272 enodes) 427.788 * * [simplify]: iters left: 1 (360 enodes) 427.941 * * [simplify]: Extracting #0: cost 1 inf + 0 427.941 * * [simplify]: Extracting #1: cost 21 inf + 0 427.941 * * [simplify]: Extracting #2: cost 42 inf + 1 427.941 * * [simplify]: Extracting #3: cost 67 inf + 1 427.942 * * [simplify]: Extracting #4: cost 88 inf + 2 427.943 * * [simplify]: Extracting #5: cost 88 inf + 64 427.944 * * [simplify]: Extracting #6: cost 71 inf + 2372 427.948 * * [simplify]: Extracting #7: cost 40 inf + 9995 427.956 * * [simplify]: Extracting #8: cost 5 inf + 26235 427.965 * * [simplify]: Extracting #9: cost 0 inf + 28687 427.970 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 427.970 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 427.971 * * * * [progress]: [ 573 / 4148 ] simplifiying candidate # 427.971 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 427.971 * * [simplify]: iters left: 6 (25 enodes) 427.978 * * [simplify]: iters left: 5 (90 enodes) 427.996 * * [simplify]: iters left: 4 (161 enodes) 428.055 * * [simplify]: iters left: 3 (298 enodes) 428.127 * * [simplify]: Extracting #0: cost 1 inf + 0 428.127 * * [simplify]: Extracting #1: cost 44 inf + 0 428.127 * * [simplify]: Extracting #2: cost 94 inf + 1 428.128 * * [simplify]: Extracting #3: cost 108 inf + 447 428.128 * * [simplify]: Extracting #4: cost 118 inf + 1908 428.129 * * [simplify]: Extracting #5: cost 117 inf + 2235 428.130 * * [simplify]: Extracting #6: cost 110 inf + 3265 428.134 * * [simplify]: Extracting #7: cost 42 inf + 29603 428.152 * * [simplify]: Extracting #8: cost 3 inf + 51021 428.171 * * [simplify]: Extracting #9: cost 0 inf + 53052 428.191 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) 428.191 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 428.191 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 428.192 * * [simplify]: iters left: 6 (20 enodes) 428.202 * * [simplify]: iters left: 5 (71 enodes) 428.226 * * [simplify]: iters left: 4 (122 enodes) 428.270 * * [simplify]: iters left: 3 (197 enodes) 428.331 * * [simplify]: iters left: 2 (272 enodes) 428.431 * * [simplify]: iters left: 1 (377 enodes) 428.534 * * [simplify]: Extracting #0: cost 1 inf + 0 428.534 * * [simplify]: Extracting #1: cost 25 inf + 0 428.534 * * [simplify]: Extracting #2: cost 53 inf + 1 428.534 * * [simplify]: Extracting #3: cost 71 inf + 164 428.535 * * [simplify]: Extracting #4: cost 90 inf + 164 428.535 * * [simplify]: Extracting #5: cost 80 inf + 937 428.536 * * [simplify]: Extracting #6: cost 42 inf + 10348 428.541 * * [simplify]: Extracting #7: cost 3 inf + 27554 428.550 * * [simplify]: Extracting #8: cost 0 inf + 29463 428.561 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 428.561 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 428.561 * * * * [progress]: [ 574 / 4148 ] simplifiying candidate # 428.562 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 428.562 * * [simplify]: iters left: 6 (24 enodes) 428.576 * * [simplify]: iters left: 5 (85 enodes) 428.604 * * [simplify]: iters left: 4 (148 enodes) 428.630 * * [simplify]: iters left: 3 (255 enodes) 428.692 * * [simplify]: iters left: 2 (381 enodes) 428.805 * * [simplify]: Extracting #0: cost 1 inf + 0 428.805 * * [simplify]: Extracting #1: cost 31 inf + 0 428.805 * * [simplify]: Extracting #2: cost 70 inf + 1 428.806 * * [simplify]: Extracting #3: cost 94 inf + 166 428.806 * * [simplify]: Extracting #4: cost 113 inf + 248 428.807 * * [simplify]: Extracting #5: cost 111 inf + 514 428.807 * * [simplify]: Extracting #6: cost 103 inf + 1606 428.810 * * [simplify]: Extracting #7: cost 44 inf + 20378 428.817 * * [simplify]: Extracting #8: cost 8 inf + 37260 428.828 * * [simplify]: Extracting #9: cost 0 inf + 42046 428.836 * [simplify]: Simplified to (* (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 428.836 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 428.837 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 428.837 * * [simplify]: iters left: 6 (20 enodes) 428.846 * * [simplify]: iters left: 5 (71 enodes) 428.870 * * [simplify]: iters left: 4 (122 enodes) 428.910 * * [simplify]: iters left: 3 (197 enodes) 428.946 * * [simplify]: iters left: 2 (272 enodes) 429.041 * * [simplify]: iters left: 1 (377 enodes) 429.185 * * [simplify]: Extracting #0: cost 1 inf + 0 429.186 * * [simplify]: Extracting #1: cost 25 inf + 0 429.186 * * [simplify]: Extracting #2: cost 53 inf + 1 429.187 * * [simplify]: Extracting #3: cost 71 inf + 84 429.188 * * [simplify]: Extracting #4: cost 90 inf + 84 429.189 * * [simplify]: Extracting #5: cost 80 inf + 857 429.192 * * [simplify]: Extracting #6: cost 42 inf + 9988 429.200 * * [simplify]: Extracting #7: cost 3 inf + 26634 429.211 * * [simplify]: Extracting #8: cost 0 inf + 28463 429.223 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 429.223 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 429.224 * * * * [progress]: [ 575 / 4148 ] simplifiying candidate # 429.224 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 1))) 1)) 429.224 * * [simplify]: iters left: 6 (23 enodes) 429.238 * * [simplify]: iters left: 5 (80 enodes) 429.270 * * [simplify]: iters left: 4 (135 enodes) 429.316 * * [simplify]: iters left: 3 (210 enodes) 429.369 * * [simplify]: iters left: 2 (312 enodes) 429.473 * * [simplify]: iters left: 1 (425 enodes) 429.626 * * [simplify]: Extracting #0: cost 1 inf + 0 429.626 * * [simplify]: Extracting #1: cost 12 inf + 0 429.627 * * [simplify]: Extracting #2: cost 23 inf + 1 429.627 * * [simplify]: Extracting #3: cost 45 inf + 1 429.627 * * [simplify]: Extracting #4: cost 65 inf + 2 429.628 * * [simplify]: Extracting #5: cost 65 inf + 64 429.629 * * [simplify]: Extracting #6: cost 55 inf + 1199 429.632 * * [simplify]: Extracting #7: cost 20 inf + 10398 429.640 * * [simplify]: Extracting #8: cost 2 inf + 17123 429.649 * * [simplify]: Extracting #9: cost 0 inf + 17868 429.657 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) 429.657 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 429.659 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 429.659 * * [simplify]: iters left: 6 (19 enodes) 429.668 * * [simplify]: iters left: 5 (68 enodes) 429.691 * * [simplify]: iters left: 4 (119 enodes) 429.734 * * [simplify]: iters left: 3 (194 enodes) 429.789 * * [simplify]: iters left: 2 (268 enodes) 429.854 * * [simplify]: iters left: 1 (363 enodes) 429.965 * * [simplify]: Extracting #0: cost 1 inf + 0 429.965 * * [simplify]: Extracting #1: cost 26 inf + 0 429.966 * * [simplify]: Extracting #2: cost 51 inf + 2 429.966 * * [simplify]: Extracting #3: cost 72 inf + 2 429.967 * * [simplify]: Extracting #4: cost 92 inf + 2 429.968 * * [simplify]: Extracting #5: cost 80 inf + 1442 429.972 * * [simplify]: Extracting #6: cost 35 inf + 15084 429.982 * * [simplify]: Extracting #7: cost 2 inf + 26621 429.996 * * [simplify]: Extracting #8: cost 0 inf + 27827 430.007 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 430.007 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 430.008 * * * * [progress]: [ 576 / 4148 ] simplifiying candidate # 430.008 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 430.008 * * [simplify]: iters left: 6 (25 enodes) 430.020 * * [simplify]: iters left: 5 (90 enodes) 430.050 * * [simplify]: iters left: 4 (161 enodes) 430.106 * * [simplify]: iters left: 3 (307 enodes) 430.210 * * [simplify]: Extracting #0: cost 1 inf + 0 430.210 * * [simplify]: Extracting #1: cost 52 inf + 0 430.210 * * [simplify]: Extracting #2: cost 117 inf + 0 430.211 * * [simplify]: Extracting #3: cost 136 inf + 203 430.212 * * [simplify]: Extracting #4: cost 154 inf + 406 430.212 * * [simplify]: Extracting #5: cost 154 inf + 612 430.213 * * [simplify]: Extracting #6: cost 145 inf + 1887 430.216 * * [simplify]: Extracting #7: cost 87 inf + 23657 430.239 * * [simplify]: Extracting #8: cost 10 inf + 72459 430.271 * * [simplify]: Extracting #9: cost 0 inf + 79948 430.300 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 430.300 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 430.301 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 430.301 * * [simplify]: iters left: 6 (23 enodes) 430.312 * * [simplify]: iters left: 5 (80 enodes) 430.339 * * [simplify]: iters left: 4 (131 enodes) 430.380 * * [simplify]: iters left: 3 (206 enodes) 430.434 * * [simplify]: iters left: 2 (277 enodes) 430.499 * * [simplify]: iters left: 1 (353 enodes) 430.614 * * [simplify]: Extracting #0: cost 1 inf + 0 430.614 * * [simplify]: Extracting #1: cost 21 inf + 0 430.615 * * [simplify]: Extracting #2: cost 45 inf + 0 430.615 * * [simplify]: Extracting #3: cost 68 inf + 82 430.616 * * [simplify]: Extracting #4: cost 87 inf + 164 430.616 * * [simplify]: Extracting #5: cost 87 inf + 226 430.617 * * [simplify]: Extracting #6: cost 81 inf + 593 430.620 * * [simplify]: Extracting #7: cost 36 inf + 12627 430.627 * * [simplify]: Extracting #8: cost 17 inf + 20048 430.636 * * [simplify]: Extracting #9: cost 1 inf + 29885 430.646 * * [simplify]: Extracting #10: cost 0 inf + 30247 430.654 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 430.654 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 430.655 * * * * [progress]: [ 577 / 4148 ] simplifiying candidate # 430.655 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 430.655 * * [simplify]: iters left: 6 (24 enodes) 430.665 * * [simplify]: iters left: 5 (85 enodes) 430.693 * * [simplify]: iters left: 4 (148 enodes) 430.746 * * [simplify]: iters left: 3 (261 enodes) 430.830 * * [simplify]: iters left: 2 (410 enodes) 430.984 * * [simplify]: Extracting #0: cost 1 inf + 0 430.985 * * [simplify]: Extracting #1: cost 46 inf + 0 430.985 * * [simplify]: Extracting #2: cost 89 inf + 0 430.985 * * [simplify]: Extracting #3: cost 117 inf + 83 430.986 * * [simplify]: Extracting #4: cost 137 inf + 84 430.987 * * [simplify]: Extracting #5: cost 135 inf + 350 430.987 * * [simplify]: Extracting #6: cost 128 inf + 1179 430.989 * * [simplify]: Extracting #7: cost 84 inf + 12896 430.994 * * [simplify]: Extracting #8: cost 41 inf + 32180 431.010 * * [simplify]: Extracting #9: cost 8 inf + 55091 431.022 * * [simplify]: Extracting #10: cost 0 inf + 60593 431.033 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 431.033 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 431.034 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 431.034 * * [simplify]: iters left: 6 (23 enodes) 431.040 * * [simplify]: iters left: 5 (80 enodes) 431.068 * * [simplify]: iters left: 4 (131 enodes) 431.108 * * [simplify]: iters left: 3 (206 enodes) 431.145 * * [simplify]: iters left: 2 (277 enodes) 431.221 * * [simplify]: iters left: 1 (353 enodes) 431.340 * * [simplify]: Extracting #0: cost 1 inf + 0 431.340 * * [simplify]: Extracting #1: cost 21 inf + 0 431.340 * * [simplify]: Extracting #2: cost 45 inf + 0 431.340 * * [simplify]: Extracting #3: cost 68 inf + 42 431.341 * * [simplify]: Extracting #4: cost 87 inf + 84 431.343 * * [simplify]: Extracting #5: cost 87 inf + 146 431.343 * * [simplify]: Extracting #6: cost 81 inf + 513 431.345 * * [simplify]: Extracting #7: cost 36 inf + 12307 431.348 * * [simplify]: Extracting #8: cost 17 inf + 19488 431.353 * * [simplify]: Extracting #9: cost 1 inf + 29045 431.358 * * [simplify]: Extracting #10: cost 0 inf + 29367 431.363 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 431.363 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 431.363 * * * * [progress]: [ 578 / 4148 ] simplifiying candidate # 431.363 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 431.363 * * [simplify]: iters left: 6 (23 enodes) 431.370 * * [simplify]: iters left: 5 (80 enodes) 431.383 * * [simplify]: iters left: 4 (135 enodes) 431.421 * * [simplify]: iters left: 3 (227 enodes) 431.470 * * [simplify]: iters left: 2 (320 enodes) 431.602 * * [simplify]: iters left: 1 (447 enodes) 431.791 * * [simplify]: Extracting #0: cost 1 inf + 0 431.791 * * [simplify]: Extracting #1: cost 21 inf + 0 431.791 * * [simplify]: Extracting #2: cost 45 inf + 1 431.792 * * [simplify]: Extracting #3: cost 69 inf + 1 431.792 * * [simplify]: Extracting #4: cost 89 inf + 2 431.793 * * [simplify]: Extracting #5: cost 89 inf + 64 431.794 * * [simplify]: Extracting #6: cost 79 inf + 1320 431.797 * * [simplify]: Extracting #7: cost 43 inf + 10818 431.805 * * [simplify]: Extracting #8: cost 16 inf + 21233 431.818 * * [simplify]: Extracting #9: cost 1 inf + 30794 431.832 * * [simplify]: Extracting #10: cost 0 inf + 31617 431.846 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) 431.846 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 431.847 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 431.847 * * [simplify]: iters left: 6 (22 enodes) 431.857 * * [simplify]: iters left: 5 (77 enodes) 431.886 * * [simplify]: iters left: 4 (128 enodes) 431.915 * * [simplify]: iters left: 3 (203 enodes) 431.947 * * [simplify]: iters left: 2 (272 enodes) 432.031 * * [simplify]: iters left: 1 (360 enodes) 432.136 * * [simplify]: Extracting #0: cost 1 inf + 0 432.136 * * [simplify]: Extracting #1: cost 21 inf + 0 432.137 * * [simplify]: Extracting #2: cost 42 inf + 1 432.137 * * [simplify]: Extracting #3: cost 67 inf + 1 432.138 * * [simplify]: Extracting #4: cost 88 inf + 2 432.138 * * [simplify]: Extracting #5: cost 88 inf + 64 432.139 * * [simplify]: Extracting #6: cost 71 inf + 2372 432.143 * * [simplify]: Extracting #7: cost 40 inf + 9995 432.150 * * [simplify]: Extracting #8: cost 5 inf + 26235 432.162 * * [simplify]: Extracting #9: cost 0 inf + 28687 432.172 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2))))) 432.172 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 432.172 * * * * [progress]: [ 579 / 4148 ] simplifiying candidate # 432.173 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 432.173 * * [simplify]: iters left: 6 (24 enodes) 432.189 * * [simplify]: iters left: 5 (87 enodes) 432.213 * * [simplify]: iters left: 4 (156 enodes) 432.239 * * [simplify]: iters left: 3 (306 enodes) 432.345 * * [simplify]: Extracting #0: cost 1 inf + 0 432.345 * * [simplify]: Extracting #1: cost 47 inf + 0 432.346 * * [simplify]: Extracting #2: cost 99 inf + 1 432.347 * * [simplify]: Extracting #3: cost 115 inf + 83 432.348 * * [simplify]: Extracting #4: cost 124 inf + 1423 432.350 * * [simplify]: Extracting #5: cost 119 inf + 2598 432.351 * * [simplify]: Extracting #6: cost 112 inf + 3307 432.356 * * [simplify]: Extracting #7: cost 65 inf + 19304 432.371 * * [simplify]: Extracting #8: cost 6 inf + 51443 432.382 * * [simplify]: Extracting #9: cost 0 inf + 54861 432.393 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) 432.393 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 432.393 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 432.394 * * [simplify]: iters left: 6 (20 enodes) 432.399 * * [simplify]: iters left: 5 (71 enodes) 432.420 * * [simplify]: iters left: 4 (122 enodes) 432.460 * * [simplify]: iters left: 3 (197 enodes) 432.523 * * [simplify]: iters left: 2 (272 enodes) 433.057 * * [simplify]: iters left: 1 (377 enodes) 433.164 * * [simplify]: Extracting #0: cost 1 inf + 0 433.165 * * [simplify]: Extracting #1: cost 25 inf + 0 433.165 * * [simplify]: Extracting #2: cost 53 inf + 1 433.166 * * [simplify]: Extracting #3: cost 71 inf + 164 433.166 * * [simplify]: Extracting #4: cost 90 inf + 164 433.167 * * [simplify]: Extracting #5: cost 80 inf + 937 433.170 * * [simplify]: Extracting #6: cost 42 inf + 10348 433.178 * * [simplify]: Extracting #7: cost 3 inf + 27554 433.189 * * [simplify]: Extracting #8: cost 0 inf + 29463 433.200 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 433.200 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 433.201 * * * * [progress]: [ 580 / 4148 ] simplifiying candidate # 433.201 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (sqrt a1))) 433.201 * * [simplify]: iters left: 6 (23 enodes) 433.212 * * [simplify]: iters left: 5 (82 enodes) 433.228 * * [simplify]: iters left: 4 (140 enodes) 433.251 * * [simplify]: iters left: 3 (237 enodes) 433.312 * * [simplify]: iters left: 2 (369 enodes) 433.419 * * [simplify]: iters left: 1 (466 enodes) 433.551 * * [simplify]: Extracting #0: cost 1 inf + 0 433.551 * * [simplify]: Extracting #1: cost 21 inf + 0 433.551 * * [simplify]: Extracting #2: cost 42 inf + 1 433.552 * * [simplify]: Extracting #3: cost 62 inf + 43 433.553 * * [simplify]: Extracting #4: cost 80 inf + 248 433.553 * * [simplify]: Extracting #5: cost 80 inf + 310 433.555 * * [simplify]: Extracting #6: cost 64 inf + 2577 433.559 * * [simplify]: Extracting #7: cost 31 inf + 11274 433.568 * * [simplify]: Extracting #8: cost 5 inf + 23305 433.575 * * [simplify]: Extracting #9: cost 0 inf + 26260 433.581 * [simplify]: Simplified to (* (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) 433.581 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 433.582 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 433.582 * * [simplify]: iters left: 6 (20 enodes) 433.587 * * [simplify]: iters left: 5 (71 enodes) 433.600 * * [simplify]: iters left: 4 (122 enodes) 433.640 * * [simplify]: iters left: 3 (197 enodes) 433.704 * * [simplify]: iters left: 2 (272 enodes) 433.787 * * [simplify]: iters left: 1 (377 enodes) 433.912 * * [simplify]: Extracting #0: cost 1 inf + 0 433.912 * * [simplify]: Extracting #1: cost 25 inf + 0 433.912 * * [simplify]: Extracting #2: cost 53 inf + 1 433.913 * * [simplify]: Extracting #3: cost 71 inf + 84 433.914 * * [simplify]: Extracting #4: cost 90 inf + 84 433.914 * * [simplify]: Extracting #5: cost 80 inf + 857 433.918 * * [simplify]: Extracting #6: cost 42 inf + 9988 433.926 * * [simplify]: Extracting #7: cost 3 inf + 26634 433.937 * * [simplify]: Extracting #8: cost 0 inf + 28463 433.948 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 433.949 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 433.949 * * * * [progress]: [ 581 / 4148 ] simplifiying candidate # 433.949 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) 1)) 433.950 * * [simplify]: iters left: 6 (22 enodes) 433.963 * * [simplify]: iters left: 5 (77 enodes) 433.978 * * [simplify]: iters left: 4 (123 enodes) 433.997 * * [simplify]: iters left: 3 (191 enodes) 434.026 * * [simplify]: iters left: 2 (261 enodes) 434.082 * * [simplify]: iters left: 1 (366 enodes) 434.176 * * [simplify]: Extracting #0: cost 1 inf + 0 434.176 * * [simplify]: Extracting #1: cost 12 inf + 0 434.176 * * [simplify]: Extracting #2: cost 24 inf + 1 434.177 * * [simplify]: Extracting #3: cost 46 inf + 1 434.177 * * [simplify]: Extracting #4: cost 65 inf + 2 434.177 * * [simplify]: Extracting #5: cost 65 inf + 64 434.178 * * [simplify]: Extracting #6: cost 57 inf + 916 434.179 * * [simplify]: Extracting #7: cost 19 inf + 10983 434.183 * * [simplify]: Extracting #8: cost 3 inf + 16842 434.188 * * [simplify]: Extracting #9: cost 0 inf + 18290 434.193 * [simplify]: Simplified to (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) 434.193 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 434.193 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 434.194 * * [simplify]: iters left: 6 (19 enodes) 434.199 * * [simplify]: iters left: 5 (68 enodes) 434.211 * * [simplify]: iters left: 4 (119 enodes) 434.247 * * [simplify]: iters left: 3 (194 enodes) 434.301 * * [simplify]: iters left: 2 (268 enodes) 434.375 * * [simplify]: iters left: 1 (363 enodes) 434.516 * * [simplify]: Extracting #0: cost 1 inf + 0 434.516 * * [simplify]: Extracting #1: cost 26 inf + 0 434.516 * * [simplify]: Extracting #2: cost 51 inf + 2 434.517 * * [simplify]: Extracting #3: cost 72 inf + 2 434.517 * * [simplify]: Extracting #4: cost 92 inf + 2 434.518 * * [simplify]: Extracting #5: cost 80 inf + 1442 434.522 * * [simplify]: Extracting #6: cost 35 inf + 15084 434.529 * * [simplify]: Extracting #7: cost 2 inf + 26621 434.534 * * [simplify]: Extracting #8: cost 0 inf + 27827 434.540 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 434.540 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt 1)) 1)) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 434.540 * * * * [progress]: [ 582 / 4148 ] simplifiying candidate # 434.541 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 434.541 * * [simplify]: iters left: 6 (23 enodes) 434.549 * * [simplify]: iters left: 5 (84 enodes) 434.572 * * [simplify]: iters left: 4 (155 enodes) 434.606 * * [simplify]: iters left: 3 (301 enodes) 434.670 * * [simplify]: Extracting #0: cost 1 inf + 0 434.670 * * [simplify]: Extracting #1: cost 52 inf + 0 434.670 * * [simplify]: Extracting #2: cost 116 inf + 0 434.671 * * [simplify]: Extracting #3: cost 133 inf + 324 434.672 * * [simplify]: Extracting #4: cost 150 inf + 406 434.672 * * [simplify]: Extracting #5: cost 149 inf + 673 434.673 * * [simplify]: Extracting #6: cost 141 inf + 1745 434.676 * * [simplify]: Extracting #7: cost 86 inf + 21611 434.687 * * [simplify]: Extracting #8: cost 18 inf + 64594 434.702 * * [simplify]: Extracting #9: cost 0 inf + 77464 434.720 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 434.720 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 434.720 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 434.720 * * [simplify]: iters left: 6 (21 enodes) 434.726 * * [simplify]: iters left: 5 (74 enodes) 434.738 * * [simplify]: iters left: 4 (125 enodes) 434.759 * * [simplify]: iters left: 3 (200 enodes) 434.808 * * [simplify]: iters left: 2 (270 enodes) 434.857 * * [simplify]: iters left: 1 (346 enodes) 434.948 * * [simplify]: Extracting #0: cost 1 inf + 0 434.948 * * [simplify]: Extracting #1: cost 21 inf + 0 434.948 * * [simplify]: Extracting #2: cost 44 inf + 0 434.948 * * [simplify]: Extracting #3: cost 64 inf + 163 434.949 * * [simplify]: Extracting #4: cost 84 inf + 164 434.949 * * [simplify]: Extracting #5: cost 84 inf + 226 434.950 * * [simplify]: Extracting #6: cost 79 inf + 533 434.950 * * [simplify]: Extracting #7: cost 71 inf + 1825 434.952 * * [simplify]: Extracting #8: cost 34 inf + 11463 434.958 * * [simplify]: Extracting #9: cost 5 inf + 26074 434.967 * * [simplify]: Extracting #10: cost 0 inf + 28525 434.975 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 434.975 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 434.975 * * * * [progress]: [ 583 / 4148 ] simplifiying candidate # 434.976 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 434.976 * * [simplify]: iters left: 6 (22 enodes) 434.982 * * [simplify]: iters left: 5 (79 enodes) 434.995 * * [simplify]: iters left: 4 (142 enodes) 435.030 * * [simplify]: iters left: 3 (255 enodes) 435.119 * * [simplify]: iters left: 2 (400 enodes) 435.290 * * [simplify]: Extracting #0: cost 1 inf + 0 435.290 * * [simplify]: Extracting #1: cost 46 inf + 0 435.291 * * [simplify]: Extracting #2: cost 88 inf + 0 435.292 * * [simplify]: Extracting #3: cost 116 inf + 1 435.293 * * [simplify]: Extracting #4: cost 134 inf + 43 435.294 * * [simplify]: Extracting #5: cost 131 inf + 309 435.295 * * [simplify]: Extracting #6: cost 123 inf + 1322 435.298 * * [simplify]: Extracting #7: cost 84 inf + 10801 435.312 * * [simplify]: Extracting #8: cost 27 inf + 40810 435.326 * * [simplify]: Extracting #9: cost 1 inf + 57806 435.338 * * [simplify]: Extracting #10: cost 0 inf + 58509 435.355 * [simplify]: Simplified to (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) 435.355 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 435.356 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 435.356 * * [simplify]: iters left: 6 (21 enodes) 435.364 * * [simplify]: iters left: 5 (74 enodes) 435.377 * * [simplify]: iters left: 4 (125 enodes) 435.404 * * [simplify]: iters left: 3 (200 enodes) 435.451 * * [simplify]: iters left: 2 (270 enodes) 435.531 * * [simplify]: iters left: 1 (346 enodes) 435.656 * * [simplify]: Extracting #0: cost 1 inf + 0 435.656 * * [simplify]: Extracting #1: cost 21 inf + 0 435.656 * * [simplify]: Extracting #2: cost 44 inf + 0 435.656 * * [simplify]: Extracting #3: cost 64 inf + 83 435.656 * * [simplify]: Extracting #4: cost 84 inf + 84 435.657 * * [simplify]: Extracting #5: cost 84 inf + 146 435.657 * * [simplify]: Extracting #6: cost 79 inf + 453 435.658 * * [simplify]: Extracting #7: cost 71 inf + 1745 435.659 * * [simplify]: Extracting #8: cost 34 inf + 11303 435.665 * * [simplify]: Extracting #9: cost 5 inf + 25314 435.674 * * [simplify]: Extracting #10: cost 0 inf + 27645 435.684 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 435.684 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 435.684 * * * * [progress]: [ 584 / 4148 ] simplifiying candidate # 435.685 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 435.685 * * [simplify]: iters left: 6 (21 enodes) 435.695 * * [simplify]: iters left: 5 (74 enodes) 435.724 * * [simplify]: iters left: 4 (129 enodes) 435.766 * * [simplify]: iters left: 3 (221 enodes) 435.834 * * [simplify]: iters left: 2 (315 enodes) 435.946 * * [simplify]: iters left: 1 (436 enodes) 436.124 * * [simplify]: Extracting #0: cost 1 inf + 0 436.124 * * [simplify]: Extracting #1: cost 22 inf + 0 436.125 * * [simplify]: Extracting #2: cost 45 inf + 1 436.125 * * [simplify]: Extracting #3: cost 67 inf + 1 436.126 * * [simplify]: Extracting #4: cost 87 inf + 2 436.127 * * [simplify]: Extracting #5: cost 87 inf + 64 436.128 * * [simplify]: Extracting #6: cost 77 inf + 1198 436.131 * * [simplify]: Extracting #7: cost 44 inf + 9106 436.138 * * [simplify]: Extracting #8: cost 16 inf + 21736 436.155 * * [simplify]: Extracting #9: cost 0 inf + 31280 436.170 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 436.170 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 436.170 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 436.170 * * [simplify]: iters left: 6 (20 enodes) 436.175 * * [simplify]: iters left: 5 (71 enodes) 436.188 * * [simplify]: iters left: 4 (122 enodes) 436.213 * * [simplify]: iters left: 3 (197 enodes) 436.276 * * [simplify]: iters left: 2 (265 enodes) 436.339 * * [simplify]: iters left: 1 (347 enodes) 436.438 * * [simplify]: Extracting #0: cost 1 inf + 0 436.438 * * [simplify]: Extracting #1: cost 21 inf + 0 436.438 * * [simplify]: Extracting #2: cost 41 inf + 1 436.439 * * [simplify]: Extracting #3: cost 64 inf + 1 436.439 * * [simplify]: Extracting #4: cost 83 inf + 2 436.439 * * [simplify]: Extracting #5: cost 83 inf + 64 436.440 * * [simplify]: Extracting #6: cost 73 inf + 1038 436.441 * * [simplify]: Extracting #7: cost 40 inf + 9607 436.445 * * [simplify]: Extracting #8: cost 7 inf + 23244 436.449 * * [simplify]: Extracting #9: cost 0 inf + 26561 436.454 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) 436.454 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 436.455 * * * * [progress]: [ 585 / 4148 ] simplifiying candidate # 436.455 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 436.455 * * [simplify]: iters left: 6 (24 enodes) 436.461 * * [simplify]: iters left: 5 (87 enodes) 436.476 * * [simplify]: iters left: 4 (158 enodes) 436.536 * * [simplify]: iters left: 3 (304 enodes) 436.625 * * [simplify]: Extracting #0: cost 1 inf + 0 436.625 * * [simplify]: Extracting #1: cost 52 inf + 0 436.626 * * [simplify]: Extracting #2: cost 117 inf + 0 436.626 * * [simplify]: Extracting #3: cost 136 inf + 82 436.628 * * [simplify]: Extracting #4: cost 152 inf + 327 436.630 * * [simplify]: Extracting #5: cost 152 inf + 612 436.631 * * [simplify]: Extracting #6: cost 144 inf + 1482 436.637 * * [simplify]: Extracting #7: cost 76 inf + 27699 436.661 * * [simplify]: Extracting #8: cost 10 inf + 68177 436.687 * * [simplify]: Extracting #9: cost 0 inf + 75306 436.711 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) 436.711 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 436.712 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 436.712 * * [simplify]: iters left: 6 (22 enodes) 436.722 * * [simplify]: iters left: 5 (77 enodes) 436.744 * * [simplify]: iters left: 4 (128 enodes) 436.784 * * [simplify]: iters left: 3 (203 enodes) 436.838 * * [simplify]: iters left: 2 (272 enodes) 436.923 * * [simplify]: iters left: 1 (360 enodes) 437.014 * * [simplify]: Extracting #0: cost 1 inf + 0 437.014 * * [simplify]: Extracting #1: cost 21 inf + 0 437.015 * * [simplify]: Extracting #2: cost 45 inf + 0 437.015 * * [simplify]: Extracting #3: cost 66 inf + 163 437.015 * * [simplify]: Extracting #4: cost 86 inf + 164 437.016 * * [simplify]: Extracting #5: cost 86 inf + 226 437.016 * * [simplify]: Extracting #6: cost 67 inf + 3260 437.018 * * [simplify]: Extracting #7: cost 31 inf + 13333 437.022 * * [simplify]: Extracting #8: cost 3 inf + 27119 437.027 * * [simplify]: Extracting #9: cost 0 inf + 28847 437.032 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) 437.032 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 437.032 * * * * [progress]: [ 586 / 4148 ] simplifiying candidate # 437.033 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 437.033 * * [simplify]: iters left: 6 (23 enodes) 437.043 * * [simplify]: iters left: 5 (82 enodes) 437.074 * * [simplify]: iters left: 4 (145 enodes) 437.122 * * [simplify]: iters left: 3 (258 enodes) 437.214 * * [simplify]: iters left: 2 (408 enodes) 437.376 * * [simplify]: Extracting #0: cost 1 inf + 0 437.376 * * [simplify]: Extracting #1: cost 46 inf + 0 437.376 * * [simplify]: Extracting #2: cost 89 inf + 0 437.377 * * [simplify]: Extracting #3: cost 117 inf + 42 437.377 * * [simplify]: Extracting #4: cost 135 inf + 84 437.378 * * [simplify]: Extracting #5: cost 133 inf + 309 437.378 * * [simplify]: Extracting #6: cost 125 inf + 1220 437.380 * * [simplify]: Extracting #7: cost 81 inf + 12537 437.386 * * [simplify]: Extracting #8: cost 33 inf + 36380 437.396 * * [simplify]: Extracting #9: cost 7 inf + 52270 437.417 * * [simplify]: Extracting #10: cost 0 inf + 56991 437.442 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) 437.443 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 437.443 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 437.443 * * [simplify]: iters left: 6 (22 enodes) 437.455 * * [simplify]: iters left: 5 (77 enodes) 437.480 * * [simplify]: iters left: 4 (128 enodes) 437.501 * * [simplify]: iters left: 3 (203 enodes) 437.560 * * [simplify]: iters left: 2 (272 enodes) 437.630 * * [simplify]: iters left: 1 (360 enodes) 437.765 * * [simplify]: Extracting #0: cost 1 inf + 0 437.765 * * [simplify]: Extracting #1: cost 21 inf + 0 437.765 * * [simplify]: Extracting #2: cost 45 inf + 0 437.765 * * [simplify]: Extracting #3: cost 66 inf + 83 437.766 * * [simplify]: Extracting #4: cost 86 inf + 84 437.766 * * [simplify]: Extracting #5: cost 86 inf + 146 437.766 * * [simplify]: Extracting #6: cost 67 inf + 3180 437.768 * * [simplify]: Extracting #7: cost 31 inf + 13013 437.773 * * [simplify]: Extracting #8: cost 3 inf + 26319 437.778 * * [simplify]: Extracting #9: cost 0 inf + 27967 437.783 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) 437.783 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 437.783 * * * * [progress]: [ 587 / 4148 ] simplifiying candidate # 437.783 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 437.783 * * [simplify]: iters left: 6 (22 enodes) 437.789 * * [simplify]: iters left: 5 (77 enodes) 437.803 * * [simplify]: iters left: 4 (132 enodes) 437.828 * * [simplify]: iters left: 3 (224 enodes) 437.880 * * [simplify]: iters left: 2 (318 enodes) 437.965 * * [simplify]: iters left: 1 (451 enodes) 438.166 * * [simplify]: Extracting #0: cost 1 inf + 0 438.166 * * [simplify]: Extracting #1: cost 20 inf + 0 438.166 * * [simplify]: Extracting #2: cost 44 inf + 1 438.167 * * [simplify]: Extracting #3: cost 67 inf + 1 438.167 * * [simplify]: Extracting #4: cost 86 inf + 2 438.168 * * [simplify]: Extracting #5: cost 86 inf + 64 438.169 * * [simplify]: Extracting #6: cost 76 inf + 1138 438.172 * * [simplify]: Extracting #7: cost 37 inf + 12204 438.181 * * [simplify]: Extracting #8: cost 10 inf + 24007 438.193 * * [simplify]: Extracting #9: cost 0 inf + 29272 438.200 * [simplify]: Simplified to (/ (/ (* (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2)))))) (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) 438.200 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2)))))) (cbrt (/ a1 (/ (cbrt (sqrt 2)) (/ (cos th) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 438.200 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 438.201 * * [simplify]: iters left: 6 (21 enodes) 438.206 * * [simplify]: iters left: 5 (74 enodes) 438.221 * * [simplify]: iters left: 4 (125 enodes) 438.251 * * [simplify]: iters left: 3 (200 enodes) 438.314 * * [simplify]: iters left: 2 (270 enodes) 438.411 * * [simplify]: iters left: 1 (346 enodes) 438.532 * * [simplify]: Extracting #0: cost 1 inf + 0 438.532 * * [simplify]: Extracting #1: cost 21 inf + 0 438.533 * * [simplify]: Extracting #2: cost 42 inf + 1 438.533 * * [simplify]: Extracting #3: cost 66 inf + 1 438.533 * * [simplify]: Extracting #4: cost 86 inf + 2 438.534 * * [simplify]: Extracting #5: cost 86 inf + 64 438.535 * * [simplify]: Extracting #6: cost 81 inf + 371 438.536 * * [simplify]: Extracting #7: cost 68 inf + 2651 438.539 * * [simplify]: Extracting #8: cost 27 inf + 14201 438.543 * * [simplify]: Extracting #9: cost 4 inf + 25377 438.549 * * [simplify]: Extracting #10: cost 0 inf + 27085 438.554 * [simplify]: Simplified to (/ (/ a1 (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (fabs (cbrt (cbrt (sqrt 2))))) 438.555 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ a1 (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (fabs (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 438.555 * * * * [progress]: [ 588 / 4148 ] simplifiying candidate # 438.555 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 438.555 * * [simplify]: iters left: 6 (23 enodes) 438.563 * * [simplify]: iters left: 5 (84 enodes) 438.586 * * [simplify]: iters left: 4 (153 enodes) 438.618 * * [simplify]: iters left: 3 (303 enodes) 438.752 * * [simplify]: Extracting #0: cost 1 inf + 0 438.752 * * [simplify]: Extracting #1: cost 48 inf + 0 438.753 * * [simplify]: Extracting #2: cost 100 inf + 1 438.754 * * [simplify]: Extracting #3: cost 113 inf + 610 438.755 * * [simplify]: Extracting #4: cost 123 inf + 1988 438.756 * * [simplify]: Extracting #5: cost 120 inf + 2700 438.758 * * [simplify]: Extracting #6: cost 114 inf + 3348 438.766 * * [simplify]: Extracting #7: cost 45 inf + 29565 438.784 * * [simplify]: Extracting #8: cost 6 inf + 51647 438.796 * * [simplify]: Extracting #9: cost 0 inf + 55548 438.806 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) 438.806 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 438.807 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 438.807 * * [simplify]: iters left: 6 (20 enodes) 438.812 * * [simplify]: iters left: 5 (71 enodes) 438.835 * * [simplify]: iters left: 4 (122 enodes) 438.873 * * [simplify]: iters left: 3 (197 enodes) 438.912 * * [simplify]: iters left: 2 (272 enodes) 438.985 * * [simplify]: iters left: 1 (377 enodes) 439.133 * * [simplify]: Extracting #0: cost 1 inf + 0 439.133 * * [simplify]: Extracting #1: cost 25 inf + 0 439.134 * * [simplify]: Extracting #2: cost 53 inf + 1 439.134 * * [simplify]: Extracting #3: cost 71 inf + 164 439.135 * * [simplify]: Extracting #4: cost 90 inf + 164 439.136 * * [simplify]: Extracting #5: cost 80 inf + 937 439.139 * * [simplify]: Extracting #6: cost 42 inf + 10348 439.147 * * [simplify]: Extracting #7: cost 3 inf + 27554 439.158 * * [simplify]: Extracting #8: cost 0 inf + 29463 439.170 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 439.170 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 439.171 * * * * [progress]: [ 589 / 4148 ] simplifiying candidate # 439.171 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (sqrt a1))) 439.171 * * [simplify]: iters left: 6 (22 enodes) 439.185 * * [simplify]: iters left: 5 (79 enodes) 439.213 * * [simplify]: iters left: 4 (137 enodes) 439.236 * * [simplify]: iters left: 3 (234 enodes) 439.305 * * [simplify]: iters left: 2 (364 enodes) 439.422 * * [simplify]: iters left: 1 (467 enodes) 439.594 * * [simplify]: Extracting #0: cost 1 inf + 0 439.594 * * [simplify]: Extracting #1: cost 21 inf + 0 439.594 * * [simplify]: Extracting #2: cost 42 inf + 1 439.595 * * [simplify]: Extracting #3: cost 60 inf + 166 439.595 * * [simplify]: Extracting #4: cost 79 inf + 248 439.596 * * [simplify]: Extracting #5: cost 79 inf + 310 439.600 * * [simplify]: Extracting #6: cost 66 inf + 2354 439.604 * * [simplify]: Extracting #7: cost 30 inf + 12579 439.615 * * [simplify]: Extracting #8: cost 4 inf + 23645 439.628 * * [simplify]: Extracting #9: cost 0 inf + 26058 439.640 * [simplify]: Simplified to (/ (* (sqrt a1) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 439.640 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 439.641 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 439.641 * * [simplify]: iters left: 6 (20 enodes) 439.651 * * [simplify]: iters left: 5 (71 enodes) 439.675 * * [simplify]: iters left: 4 (122 enodes) 439.705 * * [simplify]: iters left: 3 (197 enodes) 439.758 * * [simplify]: iters left: 2 (272 enodes) 439.859 * * [simplify]: iters left: 1 (377 enodes) 439.952 * * [simplify]: Extracting #0: cost 1 inf + 0 439.952 * * [simplify]: Extracting #1: cost 25 inf + 0 439.952 * * [simplify]: Extracting #2: cost 53 inf + 1 439.953 * * [simplify]: Extracting #3: cost 71 inf + 84 439.953 * * [simplify]: Extracting #4: cost 90 inf + 84 439.953 * * [simplify]: Extracting #5: cost 80 inf + 857 439.955 * * [simplify]: Extracting #6: cost 42 inf + 9988 439.960 * * [simplify]: Extracting #7: cost 3 inf + 26634 439.965 * * [simplify]: Extracting #8: cost 0 inf + 28463 439.971 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 439.971 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 439.971 * * * * [progress]: [ 590 / 4148 ] simplifiying candidate # 439.972 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) 1)) 439.972 * * [simplify]: iters left: 6 (21 enodes) 439.983 * * [simplify]: iters left: 5 (74 enodes) 440.005 * * [simplify]: iters left: 4 (120 enodes) 440.027 * * [simplify]: iters left: 3 (186 enodes) 440.056 * * [simplify]: iters left: 2 (260 enodes) 440.121 * * [simplify]: iters left: 1 (356 enodes) 440.237 * * [simplify]: Extracting #0: cost 1 inf + 0 440.237 * * [simplify]: Extracting #1: cost 12 inf + 0 440.238 * * [simplify]: Extracting #2: cost 23 inf + 1 440.238 * * [simplify]: Extracting #3: cost 45 inf + 1 440.238 * * [simplify]: Extracting #4: cost 64 inf + 2 440.238 * * [simplify]: Extracting #5: cost 64 inf + 64 440.239 * * [simplify]: Extracting #6: cost 53 inf + 1500 440.240 * * [simplify]: Extracting #7: cost 18 inf + 11039 440.244 * * [simplify]: Extracting #8: cost 1 inf + 17384 440.249 * * [simplify]: Extracting #9: cost 0 inf + 17666 440.254 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (fabs (cbrt (cbrt (sqrt 2))))) 440.254 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 440.255 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 440.255 * * [simplify]: iters left: 6 (19 enodes) 440.261 * * [simplify]: iters left: 5 (68 enodes) 440.285 * * [simplify]: iters left: 4 (119 enodes) 440.314 * * [simplify]: iters left: 3 (194 enodes) 440.354 * * [simplify]: iters left: 2 (268 enodes) 440.419 * * [simplify]: iters left: 1 (363 enodes) 440.553 * * [simplify]: Extracting #0: cost 1 inf + 0 440.553 * * [simplify]: Extracting #1: cost 26 inf + 0 440.554 * * [simplify]: Extracting #2: cost 51 inf + 2 440.554 * * [simplify]: Extracting #3: cost 72 inf + 2 440.555 * * [simplify]: Extracting #4: cost 92 inf + 2 440.555 * * [simplify]: Extracting #5: cost 80 inf + 1442 440.560 * * [simplify]: Extracting #6: cost 35 inf + 15084 440.570 * * [simplify]: Extracting #7: cost 2 inf + 26621 440.581 * * [simplify]: Extracting #8: cost 0 inf + 27827 440.592 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 440.592 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt 1) 1)) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 440.593 * * * * [progress]: [ 591 / 4148 ] simplifiying candidate # 440.593 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 440.593 * * [simplify]: iters left: 6 (24 enodes) 440.605 * * [simplify]: iters left: 5 (91 enodes) 440.641 * * [simplify]: iters left: 4 (184 enodes) 440.714 * * [simplify]: iters left: 3 (425 enodes) 440.875 * * [simplify]: Extracting #0: cost 1 inf + 0 440.876 * * [simplify]: Extracting #1: cost 93 inf + 0 440.876 * * [simplify]: Extracting #2: cost 228 inf + 0 440.877 * * [simplify]: Extracting #3: cost 245 inf + 284 440.879 * * [simplify]: Extracting #4: cost 263 inf + 448 440.881 * * [simplify]: Extracting #5: cost 262 inf + 775 440.882 * * [simplify]: Extracting #6: cost 259 inf + 858 440.884 * * [simplify]: Extracting #7: cost 227 inf + 12783 440.899 * * [simplify]: Extracting #8: cost 76 inf + 99975 440.941 * * [simplify]: Extracting #9: cost 1 inf + 152309 440.998 * * [simplify]: Extracting #10: cost 0 inf + 152852 441.055 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) 441.055 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 441.056 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 441.056 * * [simplify]: iters left: 6 (21 enodes) 441.066 * * [simplify]: iters left: 5 (74 enodes) 441.090 * * [simplify]: iters left: 4 (125 enodes) 441.130 * * [simplify]: iters left: 3 (200 enodes) 441.191 * * [simplify]: iters left: 2 (270 enodes) 441.251 * * [simplify]: iters left: 1 (346 enodes) 441.370 * * [simplify]: Extracting #0: cost 1 inf + 0 441.370 * * [simplify]: Extracting #1: cost 21 inf + 0 441.370 * * [simplify]: Extracting #2: cost 44 inf + 0 441.370 * * [simplify]: Extracting #3: cost 64 inf + 163 441.371 * * [simplify]: Extracting #4: cost 84 inf + 164 441.372 * * [simplify]: Extracting #5: cost 84 inf + 226 441.373 * * [simplify]: Extracting #6: cost 79 inf + 533 441.374 * * [simplify]: Extracting #7: cost 71 inf + 1825 441.377 * * [simplify]: Extracting #8: cost 34 inf + 11463 441.385 * * [simplify]: Extracting #9: cost 5 inf + 26074 441.394 * * [simplify]: Extracting #10: cost 0 inf + 28525 441.405 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 441.406 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 441.406 * * * * [progress]: [ 592 / 4148 ] simplifiying candidate # 441.406 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 441.407 * * [simplify]: iters left: 6 (23 enodes) 441.419 * * [simplify]: iters left: 5 (84 enodes) 441.447 * * [simplify]: iters left: 4 (156 enodes) 441.484 * * [simplify]: iters left: 3 (320 enodes) 441.608 * * [simplify]: Extracting #0: cost 1 inf + 0 441.608 * * [simplify]: Extracting #1: cost 65 inf + 0 441.609 * * [simplify]: Extracting #2: cost 135 inf + 0 441.610 * * [simplify]: Extracting #3: cost 153 inf + 42 441.611 * * [simplify]: Extracting #4: cost 171 inf + 84 441.613 * * [simplify]: Extracting #5: cost 169 inf + 453 441.614 * * [simplify]: Extracting #6: cost 163 inf + 1322 441.619 * * [simplify]: Extracting #7: cost 111 inf + 17296 441.645 * * [simplify]: Extracting #8: cost 27 inf + 68764 441.678 * * [simplify]: Extracting #9: cost 0 inf + 86398 441.698 * [simplify]: Simplified to (* (/ (* (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt a1)) 441.698 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 441.698 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 441.698 * * [simplify]: iters left: 6 (21 enodes) 441.704 * * [simplify]: iters left: 5 (74 enodes) 441.716 * * [simplify]: iters left: 4 (125 enodes) 441.754 * * [simplify]: iters left: 3 (200 enodes) 441.795 * * [simplify]: iters left: 2 (270 enodes) 441.890 * * [simplify]: iters left: 1 (346 enodes) 441.988 * * [simplify]: Extracting #0: cost 1 inf + 0 441.988 * * [simplify]: Extracting #1: cost 21 inf + 0 441.988 * * [simplify]: Extracting #2: cost 44 inf + 0 441.988 * * [simplify]: Extracting #3: cost 64 inf + 83 441.989 * * [simplify]: Extracting #4: cost 84 inf + 84 441.989 * * [simplify]: Extracting #5: cost 84 inf + 146 441.989 * * [simplify]: Extracting #6: cost 79 inf + 453 441.990 * * [simplify]: Extracting #7: cost 71 inf + 1745 441.992 * * [simplify]: Extracting #8: cost 34 inf + 11303 441.995 * * [simplify]: Extracting #9: cost 5 inf + 25314 442.000 * * [simplify]: Extracting #10: cost 0 inf + 27645 442.008 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 442.008 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 442.009 * * * * [progress]: [ 593 / 4148 ] simplifiying candidate # 442.009 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 442.010 * * [simplify]: iters left: 6 (22 enodes) 442.021 * * [simplify]: iters left: 5 (79 enodes) 442.050 * * [simplify]: iters left: 4 (148 enodes) 442.088 * * [simplify]: iters left: 3 (292 enodes) 442.175 * * [simplify]: Extracting #0: cost 1 inf + 0 442.175 * * [simplify]: Extracting #1: cost 37 inf + 0 442.176 * * [simplify]: Extracting #2: cost 76 inf + 1 442.176 * * [simplify]: Extracting #3: cost 95 inf + 1 442.177 * * [simplify]: Extracting #4: cost 113 inf + 44 442.177 * * [simplify]: Extracting #5: cost 113 inf + 269 442.178 * * [simplify]: Extracting #6: cost 108 inf + 695 442.179 * * [simplify]: Extracting #7: cost 67 inf + 11540 442.185 * * [simplify]: Extracting #8: cost 16 inf + 38135 442.194 * * [simplify]: Extracting #9: cost 0 inf + 48185 442.210 * * [simplify]: Extracting #10: cost 0 inf + 48145 442.223 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) 442.223 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 442.223 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 442.223 * * [simplify]: iters left: 6 (20 enodes) 442.229 * * [simplify]: iters left: 5 (71 enodes) 442.241 * * [simplify]: iters left: 4 (122 enodes) 442.279 * * [simplify]: iters left: 3 (197 enodes) 442.331 * * [simplify]: iters left: 2 (265 enodes) 442.410 * * [simplify]: iters left: 1 (347 enodes) 442.536 * * [simplify]: Extracting #0: cost 1 inf + 0 442.536 * * [simplify]: Extracting #1: cost 21 inf + 0 442.536 * * [simplify]: Extracting #2: cost 41 inf + 1 442.537 * * [simplify]: Extracting #3: cost 64 inf + 1 442.538 * * [simplify]: Extracting #4: cost 83 inf + 2 442.538 * * [simplify]: Extracting #5: cost 83 inf + 64 442.539 * * [simplify]: Extracting #6: cost 73 inf + 1038 442.542 * * [simplify]: Extracting #7: cost 40 inf + 9607 442.549 * * [simplify]: Extracting #8: cost 7 inf + 23244 442.554 * * [simplify]: Extracting #9: cost 0 inf + 26561 442.558 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) 442.559 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 442.559 * * * * [progress]: [ 594 / 4148 ] simplifiying candidate # 442.559 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 442.559 * * [simplify]: iters left: 6 (23 enodes) 442.567 * * [simplify]: iters left: 5 (84 enodes) 442.582 * * [simplify]: iters left: 4 (155 enodes) 442.627 * * [simplify]: iters left: 3 (301 enodes) 442.691 * * [simplify]: Extracting #0: cost 1 inf + 0 442.691 * * [simplify]: Extracting #1: cost 52 inf + 0 442.692 * * [simplify]: Extracting #2: cost 116 inf + 0 442.693 * * [simplify]: Extracting #3: cost 133 inf + 324 442.694 * * [simplify]: Extracting #4: cost 150 inf + 406 442.695 * * [simplify]: Extracting #5: cost 149 inf + 673 442.697 * * [simplify]: Extracting #6: cost 141 inf + 1745 442.702 * * [simplify]: Extracting #7: cost 86 inf + 20971 442.712 * * [simplify]: Extracting #8: cost 18 inf + 60754 442.726 * * [simplify]: Extracting #9: cost 0 inf + 72344 442.754 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) 442.754 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (* a1 (/ (cos th) (cbrt (sqrt 2)))) (cbrt (sqrt 2)))))) (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 442.755 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 442.755 * * [simplify]: iters left: 6 (21 enodes) 442.764 * * [simplify]: iters left: 5 (74 enodes) 442.777 * * [simplify]: iters left: 4 (125 enodes) 442.797 * * [simplify]: iters left: 3 (200 enodes) 442.862 * * [simplify]: iters left: 2 (270 enodes) 442.956 * * [simplify]: iters left: 1 (346 enodes) 443.075 * * [simplify]: Extracting #0: cost 1 inf + 0 443.075 * * [simplify]: Extracting #1: cost 21 inf + 0 443.076 * * [simplify]: Extracting #2: cost 44 inf + 0 443.076 * * [simplify]: Extracting #3: cost 64 inf + 163 443.077 * * [simplify]: Extracting #4: cost 84 inf + 164 443.078 * * [simplify]: Extracting #5: cost 84 inf + 226 443.078 * * [simplify]: Extracting #6: cost 79 inf + 533 443.079 * * [simplify]: Extracting #7: cost 71 inf + 1825 443.083 * * [simplify]: Extracting #8: cost 34 inf + 11383 443.090 * * [simplify]: Extracting #9: cost 5 inf + 25234 443.098 * * [simplify]: Extracting #10: cost 0 inf + 27565 443.103 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 443.103 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 443.103 * * * * [progress]: [ 595 / 4148 ] simplifiying candidate # 443.104 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 443.104 * * [simplify]: iters left: 6 (22 enodes) 443.109 * * [simplify]: iters left: 5 (79 enodes) 443.122 * * [simplify]: iters left: 4 (142 enodes) 443.147 * * [simplify]: iters left: 3 (255 enodes) 443.193 * * [simplify]: iters left: 2 (400 enodes) 443.303 * * [simplify]: Extracting #0: cost 1 inf + 0 443.303 * * [simplify]: Extracting #1: cost 46 inf + 0 443.304 * * [simplify]: Extracting #2: cost 88 inf + 0 443.304 * * [simplify]: Extracting #3: cost 116 inf + 1 443.304 * * [simplify]: Extracting #4: cost 134 inf + 43 443.305 * * [simplify]: Extracting #5: cost 131 inf + 309 443.305 * * [simplify]: Extracting #6: cost 123 inf + 1322 443.307 * * [simplify]: Extracting #7: cost 84 inf + 10401 443.313 * * [simplify]: Extracting #8: cost 27 inf + 38330 443.324 * * [simplify]: Extracting #9: cost 1 inf + 53966 443.336 * * [simplify]: Extracting #10: cost 0 inf + 54589 443.354 * [simplify]: Simplified to (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) 443.354 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (sqrt (cbrt (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 443.355 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 443.355 * * [simplify]: iters left: 6 (21 enodes) 443.364 * * [simplify]: iters left: 5 (74 enodes) 443.390 * * [simplify]: iters left: 4 (125 enodes) 443.434 * * [simplify]: iters left: 3 (200 enodes) 443.489 * * [simplify]: iters left: 2 (270 enodes) 443.564 * * [simplify]: iters left: 1 (346 enodes) 443.688 * * [simplify]: Extracting #0: cost 1 inf + 0 443.688 * * [simplify]: Extracting #1: cost 21 inf + 0 443.688 * * [simplify]: Extracting #2: cost 44 inf + 0 443.688 * * [simplify]: Extracting #3: cost 64 inf + 83 443.688 * * [simplify]: Extracting #4: cost 84 inf + 84 443.689 * * [simplify]: Extracting #5: cost 84 inf + 146 443.689 * * [simplify]: Extracting #6: cost 79 inf + 453 443.690 * * [simplify]: Extracting #7: cost 71 inf + 1745 443.691 * * [simplify]: Extracting #8: cost 34 inf + 11223 443.695 * * [simplify]: Extracting #9: cost 5 inf + 24474 443.701 * * [simplify]: Extracting #10: cost 0 inf + 26685 443.706 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 443.706 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 443.706 * * * * [progress]: [ 596 / 4148 ] simplifiying candidate # 443.707 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 443.707 * * [simplify]: iters left: 6 (21 enodes) 443.712 * * [simplify]: iters left: 5 (74 enodes) 443.737 * * [simplify]: iters left: 4 (129 enodes) 443.780 * * [simplify]: iters left: 3 (221 enodes) 443.849 * * [simplify]: iters left: 2 (315 enodes) 443.951 * * [simplify]: iters left: 1 (436 enodes) 444.079 * * [simplify]: Extracting #0: cost 1 inf + 0 444.080 * * [simplify]: Extracting #1: cost 22 inf + 0 444.080 * * [simplify]: Extracting #2: cost 45 inf + 1 444.080 * * [simplify]: Extracting #3: cost 67 inf + 1 444.080 * * [simplify]: Extracting #4: cost 87 inf + 2 444.081 * * [simplify]: Extracting #5: cost 87 inf + 64 444.081 * * [simplify]: Extracting #6: cost 77 inf + 1198 444.083 * * [simplify]: Extracting #7: cost 44 inf + 9106 444.086 * * [simplify]: Extracting #8: cost 16 inf + 20696 444.095 * * [simplify]: Extracting #9: cost 0 inf + 29360 444.102 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (cbrt (cbrt (sqrt 2)))))) 444.102 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 444.103 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 444.103 * * [simplify]: iters left: 6 (20 enodes) 444.108 * * [simplify]: iters left: 5 (71 enodes) 444.131 * * [simplify]: iters left: 4 (122 enodes) 444.169 * * [simplify]: iters left: 3 (197 enodes) 444.232 * * [simplify]: iters left: 2 (265 enodes) 444.297 * * [simplify]: iters left: 1 (347 enodes) 444.408 * * [simplify]: Extracting #0: cost 1 inf + 0 444.408 * * [simplify]: Extracting #1: cost 21 inf + 0 444.408 * * [simplify]: Extracting #2: cost 41 inf + 1 444.409 * * [simplify]: Extracting #3: cost 64 inf + 1 444.409 * * [simplify]: Extracting #4: cost 83 inf + 2 444.409 * * [simplify]: Extracting #5: cost 83 inf + 64 444.410 * * [simplify]: Extracting #6: cost 73 inf + 1038 444.411 * * [simplify]: Extracting #7: cost 40 inf + 9527 444.415 * * [simplify]: Extracting #8: cost 7 inf + 22524 444.422 * * [simplify]: Extracting #9: cost 0 inf + 25601 444.432 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) 444.432 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) a1) (fabs (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 444.433 * * * * [progress]: [ 597 / 4148 ] simplifiying candidate # 444.433 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 444.433 * * [simplify]: iters left: 6 (22 enodes) 444.444 * * [simplify]: iters left: 5 (81 enodes) 444.471 * * [simplify]: iters left: 4 (148 enodes) 444.526 * * [simplify]: iters left: 3 (280 enodes) 444.620 * * [simplify]: Extracting #0: cost 1 inf + 0 444.620 * * [simplify]: Extracting #1: cost 48 inf + 0 444.621 * * [simplify]: Extracting #2: cost 94 inf + 1 444.622 * * [simplify]: Extracting #3: cost 110 inf + 205 444.623 * * [simplify]: Extracting #4: cost 121 inf + 1179 444.624 * * [simplify]: Extracting #5: cost 117 inf + 2132 444.626 * * [simplify]: Extracting #6: cost 113 inf + 2356 444.633 * * [simplify]: Extracting #7: cost 55 inf + 24397 444.652 * * [simplify]: Extracting #8: cost 4 inf + 50615 444.667 * * [simplify]: Extracting #9: cost 0 inf + 53189 444.678 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) 444.678 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 444.678 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 444.678 * * [simplify]: iters left: 6 (20 enodes) 444.685 * * [simplify]: iters left: 5 (71 enodes) 444.709 * * [simplify]: iters left: 4 (122 enodes) 444.730 * * [simplify]: iters left: 3 (197 enodes) 444.775 * * [simplify]: iters left: 2 (272 enodes) 444.840 * * [simplify]: iters left: 1 (377 enodes) 444.961 * * [simplify]: Extracting #0: cost 1 inf + 0 444.961 * * [simplify]: Extracting #1: cost 25 inf + 0 444.962 * * [simplify]: Extracting #2: cost 53 inf + 1 444.962 * * [simplify]: Extracting #3: cost 71 inf + 164 444.963 * * [simplify]: Extracting #4: cost 90 inf + 164 444.964 * * [simplify]: Extracting #5: cost 80 inf + 937 444.967 * * [simplify]: Extracting #6: cost 42 inf + 10348 444.975 * * [simplify]: Extracting #7: cost 3 inf + 27554 444.987 * * [simplify]: Extracting #8: cost 0 inf + 29463 444.997 * [simplify]: Simplified to (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 444.997 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (cbrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 444.997 * * * * [progress]: [ 598 / 4148 ] simplifiying candidate # 444.998 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (sqrt a1))) 444.998 * * [simplify]: iters left: 6 (21 enodes) 445.011 * * [simplify]: iters left: 5 (76 enodes) 445.037 * * [simplify]: iters left: 4 (135 enodes) 445.068 * * [simplify]: iters left: 3 (234 enodes) 445.122 * * [simplify]: iters left: 2 (367 enodes) 445.257 * * [simplify]: Extracting #0: cost 1 inf + 0 445.257 * * [simplify]: Extracting #1: cost 25 inf + 0 445.257 * * [simplify]: Extracting #2: cost 58 inf + 1 445.258 * * [simplify]: Extracting #3: cost 84 inf + 43 445.258 * * [simplify]: Extracting #4: cost 101 inf + 248 445.259 * * [simplify]: Extracting #5: cost 98 inf + 575 445.260 * * [simplify]: Extracting #6: cost 88 inf + 2111 445.267 * * [simplify]: Extracting #7: cost 22 inf + 25561 445.281 * * [simplify]: Extracting #8: cost 0 inf + 35902 445.295 * [simplify]: Simplified to (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) 445.295 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 445.296 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 445.296 * * [simplify]: iters left: 6 (20 enodes) 445.306 * * [simplify]: iters left: 5 (71 enodes) 445.322 * * [simplify]: iters left: 4 (122 enodes) 445.342 * * [simplify]: iters left: 3 (197 enodes) 445.400 * * [simplify]: iters left: 2 (272 enodes) 445.501 * * [simplify]: iters left: 1 (377 enodes) 445.634 * * [simplify]: Extracting #0: cost 1 inf + 0 445.634 * * [simplify]: Extracting #1: cost 25 inf + 0 445.634 * * [simplify]: Extracting #2: cost 53 inf + 1 445.634 * * [simplify]: Extracting #3: cost 71 inf + 84 445.635 * * [simplify]: Extracting #4: cost 90 inf + 84 445.635 * * [simplify]: Extracting #5: cost 80 inf + 857 445.637 * * [simplify]: Extracting #6: cost 42 inf + 9988 445.644 * * [simplify]: Extracting #7: cost 3 inf + 26634 445.655 * * [simplify]: Extracting #8: cost 0 inf + 28463 445.667 * [simplify]: Simplified to (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 445.667 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 (sqrt a1))) (/ (sqrt a1) (/ (* (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 445.667 * * * * [progress]: [ 599 / 4148 ] simplifiying candidate # 445.668 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 1)) 445.668 * * [simplify]: iters left: 6 (20 enodes) 445.678 * * [simplify]: iters left: 5 (69 enodes) 445.702 * * [simplify]: iters left: 4 (116 enodes) 445.740 * * [simplify]: iters left: 3 (179 enodes) 445.797 * * [simplify]: iters left: 2 (239 enodes) 445.853 * * [simplify]: iters left: 1 (304 enodes) 445.943 * * [simplify]: Extracting #0: cost 1 inf + 0 445.943 * * [simplify]: Extracting #1: cost 9 inf + 0 445.943 * * [simplify]: Extracting #2: cost 17 inf + 1 445.943 * * [simplify]: Extracting #3: cost 39 inf + 1 445.944 * * [simplify]: Extracting #4: cost 58 inf + 2 445.944 * * [simplify]: Extracting #5: cost 58 inf + 64 445.944 * * [simplify]: Extracting #6: cost 54 inf + 330 445.944 * * [simplify]: Extracting #7: cost 47 inf + 1301 445.946 * * [simplify]: Extracting #8: cost 13 inf + 9895 445.949 * * [simplify]: Extracting #9: cost 1 inf + 14766 445.952 * * [simplify]: Extracting #10: cost 0 inf + 15008 445.955 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (fabs (cbrt (cbrt (sqrt 2)))))) 445.955 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 445.955 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 445.956 * * [simplify]: iters left: 6 (19 enodes) 445.961 * * [simplify]: iters left: 5 (68 enodes) 445.972 * * [simplify]: iters left: 4 (119 enodes) 446.006 * * [simplify]: iters left: 3 (194 enodes) 446.068 * * [simplify]: iters left: 2 (268 enodes) 446.142 * * [simplify]: iters left: 1 (363 enodes) 446.259 * * [simplify]: Extracting #0: cost 1 inf + 0 446.259 * * [simplify]: Extracting #1: cost 26 inf + 0 446.259 * * [simplify]: Extracting #2: cost 51 inf + 2 446.259 * * [simplify]: Extracting #3: cost 72 inf + 2 446.260 * * [simplify]: Extracting #4: cost 92 inf + 2 446.261 * * [simplify]: Extracting #5: cost 80 inf + 1442 446.266 * * [simplify]: Extracting #6: cost 35 inf + 15084 446.276 * * [simplify]: Extracting #7: cost 2 inf + 26621 446.286 * * [simplify]: Extracting #8: cost 0 inf + 27827 446.292 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 446.292 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 1)) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 446.292 * * * * [progress]: [ 600 / 4148 ] simplifiying candidate # 446.292 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 1) 446.292 * * [simplify]: iters left: 6 (19 enodes) 446.298 * * [simplify]: iters left: 5 (66 enodes) 446.310 * * [simplify]: iters left: 4 (115 enodes) 446.341 * * [simplify]: iters left: 3 (179 enodes) 446.390 * * [simplify]: iters left: 2 (237 enodes) 446.453 * * [simplify]: iters left: 1 (302 enodes) 446.552 * * [simplify]: Extracting #0: cost 1 inf + 0 446.553 * * [simplify]: Extracting #1: cost 9 inf + 0 446.553 * * [simplify]: Extracting #2: cost 17 inf + 1 446.553 * * [simplify]: Extracting #3: cost 39 inf + 1 446.553 * * [simplify]: Extracting #4: cost 58 inf + 2 446.553 * * [simplify]: Extracting #5: cost 58 inf + 64 446.554 * * [simplify]: Extracting #6: cost 45 inf + 1948 446.555 * * [simplify]: Extracting #7: cost 13 inf + 9717 446.558 * * [simplify]: Extracting #8: cost 1 inf + 14425 446.561 * * [simplify]: Extracting #9: cost 0 inf + 15008 446.566 * [simplify]: Simplified to (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 446.567 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (/ (fabs (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 446.567 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 446.568 * * [simplify]: iters left: 6 (19 enodes) 446.577 * * [simplify]: iters left: 5 (68 enodes) 446.589 * * [simplify]: iters left: 4 (119 enodes) 446.616 * * [simplify]: iters left: 3 (194 enodes) 446.656 * * [simplify]: iters left: 2 (268 enodes) 446.706 * * [simplify]: iters left: 1 (363 enodes) 446.844 * * [simplify]: Extracting #0: cost 1 inf + 0 446.844 * * [simplify]: Extracting #1: cost 26 inf + 0 446.844 * * [simplify]: Extracting #2: cost 51 inf + 2 446.845 * * [simplify]: Extracting #3: cost 72 inf + 2 446.845 * * [simplify]: Extracting #4: cost 92 inf + 2 446.846 * * [simplify]: Extracting #5: cost 80 inf + 1442 446.850 * * [simplify]: Extracting #6: cost 35 inf + 15084 446.861 * * [simplify]: Extracting #7: cost 2 inf + 26621 446.875 * * [simplify]: Extracting #8: cost 0 inf + 27827 446.887 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) 446.887 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) 1) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (fabs (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 446.887 * * * * [progress]: [ 601 / 4148 ] simplifiying candidate # 446.888 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (cbrt (sqrt 2)))) 446.888 * * [simplify]: iters left: 6 (19 enodes) 446.898 * * [simplify]: iters left: 5 (68 enodes) 446.909 * * [simplify]: iters left: 4 (121 enodes) 446.932 * * [simplify]: iters left: 3 (198 enodes) 446.973 * * [simplify]: iters left: 2 (268 enodes) 447.066 * * [simplify]: iters left: 1 (348 enodes) 447.218 * * [simplify]: Extracting #0: cost 1 inf + 0 447.218 * * [simplify]: Extracting #1: cost 21 inf + 0 447.218 * * [simplify]: Extracting #2: cost 43 inf + 1 447.218 * * [simplify]: Extracting #3: cost 64 inf + 1 447.218 * * [simplify]: Extracting #4: cost 83 inf + 2 447.219 * * [simplify]: Extracting #5: cost 75 inf + 713 447.220 * * [simplify]: Extracting #6: cost 36 inf + 9995 447.224 * * [simplify]: Extracting #7: cost 10 inf + 21263 447.229 * * [simplify]: Extracting #8: cost 0 inf + 26349 447.235 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) 447.235 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 447.235 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ 1 a1)) 447.236 * * [simplify]: iters left: 6 (19 enodes) 447.243 * * [simplify]: iters left: 5 (68 enodes) 447.255 * * [simplify]: iters left: 4 (115 enodes) 447.273 * * [simplify]: iters left: 3 (181 enodes) 447.319 * * [simplify]: iters left: 2 (252 enodes) 447.378 * * [simplify]: iters left: 1 (324 enodes) 447.463 * * [simplify]: Extracting #0: cost 1 inf + 0 447.463 * * [simplify]: Extracting #1: cost 12 inf + 0 447.463 * * [simplify]: Extracting #2: cost 22 inf + 2 447.463 * * [simplify]: Extracting #3: cost 43 inf + 44 447.464 * * [simplify]: Extracting #4: cost 63 inf + 86 447.464 * * [simplify]: Extracting #5: cost 63 inf + 148 447.465 * * [simplify]: Extracting #6: cost 55 inf + 960 447.467 * * [simplify]: Extracting #7: cost 24 inf + 7378 447.472 * * [simplify]: Extracting #8: cost 6 inf + 13465 447.478 * * [simplify]: Extracting #9: cost 0 inf + 16422 447.485 * [simplify]: Simplified to (* a1 (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2)))))) 447.485 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (sqrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (cbrt (sqrt 2)))) (* a1 (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (fabs (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 447.486 * * * * [progress]: [ 602 / 4148 ] simplifiying candidate # 447.486 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 447.486 * * [simplify]: iters left: 6 (22 enodes) 447.501 * * [simplify]: iters left: 5 (83 enodes) 447.527 * * [simplify]: iters left: 4 (136 enodes) 447.553 * * [simplify]: iters left: 3 (264 enodes) 447.638 * * [simplify]: iters left: 2 (433 enodes) 447.824 * * [simplify]: Extracting #0: cost 1 inf + 0 447.824 * * [simplify]: Extracting #1: cost 43 inf + 0 447.825 * * [simplify]: Extracting #2: cost 76 inf + 1 447.826 * * [simplify]: Extracting #3: cost 104 inf + 1 447.827 * * [simplify]: Extracting #4: cost 122 inf + 2 447.828 * * [simplify]: Extracting #5: cost 111 inf + 1300 447.831 * * [simplify]: Extracting #6: cost 75 inf + 10020 447.837 * * [simplify]: Extracting #7: cost 51 inf + 19840 447.856 * * [simplify]: Extracting #8: cost 13 inf + 41950 447.879 * * [simplify]: Extracting #9: cost 0 inf + 50329 447.902 * * [simplify]: Extracting #10: cost 0 inf + 50289 447.922 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 447.922 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 447.922 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 447.922 * * [simplify]: iters left: 6 (19 enodes) 447.928 * * [simplify]: iters left: 5 (68 enodes) 447.939 * * [simplify]: iters left: 4 (103 enodes) 447.969 * * [simplify]: iters left: 3 (161 enodes) 447.998 * * [simplify]: iters left: 2 (221 enodes) 448.074 * * [simplify]: iters left: 1 (291 enodes) 448.193 * * [simplify]: Extracting #0: cost 1 inf + 0 448.193 * * [simplify]: Extracting #1: cost 12 inf + 0 448.193 * * [simplify]: Extracting #2: cost 24 inf + 1 448.193 * * [simplify]: Extracting #3: cost 45 inf + 1 448.193 * * [simplify]: Extracting #4: cost 64 inf + 2 448.194 * * [simplify]: Extracting #5: cost 50 inf + 1862 448.195 * * [simplify]: Extracting #6: cost 15 inf + 10461 448.198 * * [simplify]: Extracting #7: cost 2 inf + 15914 448.201 * * [simplify]: Extracting #8: cost 0 inf + 16899 448.204 * [simplify]: Simplified to (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 448.204 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 448.204 * * * * [progress]: [ 603 / 4148 ] simplifiying candidate # 448.205 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 448.205 * * [simplify]: iters left: 6 (21 enodes) 448.211 * * [simplify]: iters left: 5 (78 enodes) 448.223 * * [simplify]: iters left: 4 (121 enodes) 448.253 * * [simplify]: iters left: 3 (208 enodes) 448.292 * * [simplify]: iters left: 2 (291 enodes) 448.357 * * [simplify]: iters left: 1 (403 enodes) 448.497 * * [simplify]: Extracting #0: cost 1 inf + 0 448.497 * * [simplify]: Extracting #1: cost 29 inf + 0 448.498 * * [simplify]: Extracting #2: cost 49 inf + 1 448.498 * * [simplify]: Extracting #3: cost 70 inf + 1 448.498 * * [simplify]: Extracting #4: cost 88 inf + 2 448.499 * * [simplify]: Extracting #5: cost 78 inf + 1258 448.500 * * [simplify]: Extracting #6: cost 36 inf + 12836 448.506 * * [simplify]: Extracting #7: cost 2 inf + 29933 448.514 * * [simplify]: Extracting #8: cost 0 inf + 30959 448.521 * [simplify]: Simplified to (/ (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))))) 448.521 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 448.522 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 448.522 * * [simplify]: iters left: 6 (19 enodes) 448.529 * * [simplify]: iters left: 5 (68 enodes) 448.541 * * [simplify]: iters left: 4 (103 enodes) 448.561 * * [simplify]: iters left: 3 (161 enodes) 448.607 * * [simplify]: iters left: 2 (221 enodes) 448.667 * * [simplify]: iters left: 1 (291 enodes) 448.794 * * [simplify]: Extracting #0: cost 1 inf + 0 448.794 * * [simplify]: Extracting #1: cost 12 inf + 0 448.794 * * [simplify]: Extracting #2: cost 24 inf + 1 448.794 * * [simplify]: Extracting #3: cost 45 inf + 1 448.794 * * [simplify]: Extracting #4: cost 64 inf + 2 448.795 * * [simplify]: Extracting #5: cost 50 inf + 1862 448.796 * * [simplify]: Extracting #6: cost 15 inf + 10421 448.799 * * [simplify]: Extracting #7: cost 2 inf + 15514 448.802 * * [simplify]: Extracting #8: cost 0 inf + 16419 448.806 * [simplify]: Simplified to (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 448.806 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 448.806 * * * * [progress]: [ 604 / 4148 ] simplifiying candidate # 448.807 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 448.807 * * [simplify]: iters left: 6 (24 enodes) 448.814 * * [simplify]: iters left: 5 (91 enodes) 448.834 * * [simplify]: iters left: 4 (152 enodes) 448.887 * * [simplify]: iters left: 3 (316 enodes) 448.988 * * [simplify]: Extracting #0: cost 1 inf + 0 448.988 * * [simplify]: Extracting #1: cost 63 inf + 0 448.989 * * [simplify]: Extracting #2: cost 136 inf + 1 448.990 * * [simplify]: Extracting #3: cost 150 inf + 286 448.991 * * [simplify]: Extracting #4: cost 167 inf + 571 448.992 * * [simplify]: Extracting #5: cost 158 inf + 1505 448.995 * * [simplify]: Extracting #6: cost 133 inf + 6832 449.005 * * [simplify]: Extracting #7: cost 70 inf + 39302 449.035 * * [simplify]: Extracting #8: cost 8 inf + 79500 449.069 * * [simplify]: Extracting #9: cost 0 inf + 85687 449.095 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 449.095 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 449.095 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 449.095 * * [simplify]: iters left: 6 (20 enodes) 449.103 * * [simplify]: iters left: 5 (73 enodes) 449.116 * * [simplify]: iters left: 4 (116 enodes) 449.147 * * [simplify]: iters left: 3 (199 enodes) 449.182 * * [simplify]: iters left: 2 (295 enodes) 449.272 * * [simplify]: iters left: 1 (440 enodes) 449.432 * * [simplify]: Extracting #0: cost 1 inf + 0 449.432 * * [simplify]: Extracting #1: cost 40 inf + 0 449.433 * * [simplify]: Extracting #2: cost 72 inf + 1 449.433 * * [simplify]: Extracting #3: cost 88 inf + 164 449.434 * * [simplify]: Extracting #4: cost 107 inf + 164 449.435 * * [simplify]: Extracting #5: cost 93 inf + 1906 449.442 * * [simplify]: Extracting #6: cost 46 inf + 17050 449.454 * * [simplify]: Extracting #7: cost 7 inf + 37639 449.467 * * [simplify]: Extracting #8: cost 0 inf + 42003 449.481 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 449.481 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 449.481 * * * * [progress]: [ 605 / 4148 ] simplifiying candidate # 449.482 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 449.482 * * [simplify]: iters left: 6 (23 enodes) 449.490 * * [simplify]: iters left: 5 (86 enodes) 449.504 * * [simplify]: iters left: 4 (139 enodes) 449.533 * * [simplify]: iters left: 3 (267 enodes) 449.612 * * [simplify]: iters left: 2 (456 enodes) 449.828 * * [simplify]: Extracting #0: cost 1 inf + 0 449.829 * * [simplify]: Extracting #1: cost 56 inf + 0 449.829 * * [simplify]: Extracting #2: cost 104 inf + 1 449.829 * * [simplify]: Extracting #3: cost 129 inf + 43 449.830 * * [simplify]: Extracting #4: cost 147 inf + 84 449.831 * * [simplify]: Extracting #5: cost 139 inf + 734 449.833 * * [simplify]: Extracting #6: cost 93 inf + 12979 449.840 * * [simplify]: Extracting #7: cost 48 inf + 35457 449.866 * * [simplify]: Extracting #8: cost 2 inf + 64567 449.884 * * [simplify]: Extracting #9: cost 0 inf + 65973 449.900 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 449.900 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 449.900 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 449.901 * * [simplify]: iters left: 6 (20 enodes) 449.911 * * [simplify]: iters left: 5 (73 enodes) 449.930 * * [simplify]: iters left: 4 (116 enodes) 449.950 * * [simplify]: iters left: 3 (199 enodes) 450.002 * * [simplify]: iters left: 2 (295 enodes) 450.094 * * [simplify]: iters left: 1 (440 enodes) 450.247 * * [simplify]: Extracting #0: cost 1 inf + 0 450.247 * * [simplify]: Extracting #1: cost 40 inf + 0 450.247 * * [simplify]: Extracting #2: cost 72 inf + 1 450.248 * * [simplify]: Extracting #3: cost 88 inf + 84 450.249 * * [simplify]: Extracting #4: cost 107 inf + 84 450.250 * * [simplify]: Extracting #5: cost 93 inf + 1826 450.255 * * [simplify]: Extracting #6: cost 46 inf + 16330 450.268 * * [simplify]: Extracting #7: cost 7 inf + 36159 450.286 * * [simplify]: Extracting #8: cost 0 inf + 40403 450.302 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 450.302 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 450.303 * * * * [progress]: [ 606 / 4148 ] simplifiying candidate # 450.303 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 450.303 * * [simplify]: iters left: 6 (22 enodes) 450.319 * * [simplify]: iters left: 5 (81 enodes) 450.340 * * [simplify]: iters left: 4 (124 enodes) 450.365 * * [simplify]: iters left: 3 (215 enodes) 450.420 * * [simplify]: iters left: 2 (305 enodes) 450.551 * * [simplify]: iters left: 1 (426 enodes) 450.680 * * [simplify]: Extracting #0: cost 1 inf + 0 450.680 * * [simplify]: Extracting #1: cost 24 inf + 0 450.681 * * [simplify]: Extracting #2: cost 46 inf + 1 450.681 * * [simplify]: Extracting #3: cost 67 inf + 1 450.682 * * [simplify]: Extracting #4: cost 85 inf + 2 450.683 * * [simplify]: Extracting #5: cost 76 inf + 952 450.687 * * [simplify]: Extracting #6: cost 30 inf + 15735 450.700 * * [simplify]: Extracting #7: cost 1 inf + 30153 450.713 * * [simplify]: Extracting #8: cost 0 inf + 30655 450.728 * [simplify]: Simplified to (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) 450.728 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 450.729 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 450.729 * * [simplify]: iters left: 6 (19 enodes) 450.739 * * [simplify]: iters left: 5 (70 enodes) 450.762 * * [simplify]: iters left: 4 (113 enodes) 450.787 * * [simplify]: iters left: 3 (196 enodes) 450.824 * * [simplify]: iters left: 2 (286 enodes) 450.895 * * [simplify]: iters left: 1 (422 enodes) 451.114 * * [simplify]: Extracting #0: cost 1 inf + 0 451.114 * * [simplify]: Extracting #1: cost 37 inf + 0 451.115 * * [simplify]: Extracting #2: cost 66 inf + 2 451.115 * * [simplify]: Extracting #3: cost 85 inf + 2 451.116 * * [simplify]: Extracting #4: cost 105 inf + 2 451.117 * * [simplify]: Extracting #5: cost 97 inf + 593 451.120 * * [simplify]: Extracting #6: cost 59 inf + 9228 451.129 * * [simplify]: Extracting #7: cost 12 inf + 29032 451.144 * * [simplify]: Extracting #8: cost 0 inf + 35991 451.159 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 451.159 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 451.160 * * * * [progress]: [ 607 / 4148 ] simplifiying candidate # 451.160 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 451.161 * * [simplify]: iters left: 6 (27 enodes) 451.177 * * [simplify]: iters left: 5 (101 enodes) 451.205 * * [simplify]: iters left: 4 (162 enodes) 451.237 * * [simplify]: iters left: 3 (326 enodes) 451.339 * * [simplify]: Extracting #0: cost 1 inf + 0 451.340 * * [simplify]: Extracting #1: cost 64 inf + 0 451.341 * * [simplify]: Extracting #2: cost 136 inf + 1 451.341 * * [simplify]: Extracting #3: cost 152 inf + 204 451.343 * * [simplify]: Extracting #4: cost 168 inf + 692 451.344 * * [simplify]: Extracting #5: cost 160 inf + 2109 451.350 * * [simplify]: Extracting #6: cost 112 inf + 18121 451.361 * * [simplify]: Extracting #7: cost 66 inf + 41283 451.383 * * [simplify]: Extracting #8: cost 16 inf + 78739 451.407 * * [simplify]: Extracting #9: cost 0 inf + 92127 451.426 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2))))) 451.426 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 451.426 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 451.426 * * [simplify]: iters left: 6 (23 enodes) 451.435 * * [simplify]: iters left: 5 (82 enodes) 451.462 * * [simplify]: iters left: 4 (125 enodes) 451.498 * * [simplify]: iters left: 3 (208 enodes) 451.536 * * [simplify]: iters left: 2 (304 enodes) 451.612 * * [simplify]: iters left: 1 (444 enodes) 451.815 * * [simplify]: Extracting #0: cost 1 inf + 0 451.816 * * [simplify]: Extracting #1: cost 40 inf + 0 451.816 * * [simplify]: Extracting #2: cost 72 inf + 1 451.816 * * [simplify]: Extracting #3: cost 91 inf + 83 451.817 * * [simplify]: Extracting #4: cost 112 inf + 164 451.817 * * [simplify]: Extracting #5: cost 104 inf + 815 451.818 * * [simplify]: Extracting #6: cost 74 inf + 7196 451.821 * * [simplify]: Extracting #7: cost 45 inf + 17388 451.825 * * [simplify]: Extracting #8: cost 33 inf + 24539 451.833 * * [simplify]: Extracting #9: cost 4 inf + 44219 451.842 * * [simplify]: Extracting #10: cost 0 inf + 47148 451.856 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) 451.856 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 451.857 * * * * [progress]: [ 608 / 4148 ] simplifiying candidate # 451.857 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 451.857 * * [simplify]: iters left: 6 (26 enodes) 451.872 * * [simplify]: iters left: 5 (96 enodes) 451.902 * * [simplify]: iters left: 4 (149 enodes) 451.938 * * [simplify]: iters left: 3 (277 enodes) 452.009 * * [simplify]: iters left: 2 (464 enodes) 452.198 * * [simplify]: Extracting #0: cost 1 inf + 0 452.199 * * [simplify]: Extracting #1: cost 56 inf + 0 452.199 * * [simplify]: Extracting #2: cost 105 inf + 1 452.200 * * [simplify]: Extracting #3: cost 131 inf + 43 452.200 * * [simplify]: Extracting #4: cost 152 inf + 84 452.201 * * [simplify]: Extracting #5: cost 141 inf + 1543 452.203 * * [simplify]: Extracting #6: cost 94 inf + 15432 452.209 * * [simplify]: Extracting #7: cost 57 inf + 32026 452.230 * * [simplify]: Extracting #8: cost 6 inf + 68204 452.260 * * [simplify]: Extracting #9: cost 0 inf + 72682 452.277 * [simplify]: Simplified to (/ (* (* (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (sqrt a1)) (cbrt (cbrt (fabs (cbrt 2))))) 452.277 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1))) (sqrt a1)) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 452.279 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 452.279 * * [simplify]: iters left: 6 (23 enodes) 452.291 * * [simplify]: iters left: 5 (82 enodes) 452.308 * * [simplify]: iters left: 4 (125 enodes) 452.332 * * [simplify]: iters left: 3 (208 enodes) 452.399 * * [simplify]: iters left: 2 (304 enodes) 452.472 * * [simplify]: iters left: 1 (444 enodes) 452.634 * * [simplify]: Extracting #0: cost 1 inf + 0 452.635 * * [simplify]: Extracting #1: cost 40 inf + 0 452.635 * * [simplify]: Extracting #2: cost 72 inf + 1 452.636 * * [simplify]: Extracting #3: cost 91 inf + 43 452.636 * * [simplify]: Extracting #4: cost 112 inf + 84 452.637 * * [simplify]: Extracting #5: cost 104 inf + 735 452.640 * * [simplify]: Extracting #6: cost 74 inf + 7036 452.646 * * [simplify]: Extracting #7: cost 45 inf + 16908 452.650 * * [simplify]: Extracting #8: cost 33 inf + 23659 452.657 * * [simplify]: Extracting #9: cost 4 inf + 42739 452.666 * * [simplify]: Extracting #10: cost 0 inf + 45588 452.677 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) 452.677 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 452.678 * * * * [progress]: [ 609 / 4148 ] simplifiying candidate # 452.678 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 452.678 * * [simplify]: iters left: 6 (25 enodes) 452.695 * * [simplify]: iters left: 5 (91 enodes) 452.713 * * [simplify]: iters left: 4 (134 enodes) 452.736 * * [simplify]: iters left: 3 (225 enodes) 452.779 * * [simplify]: iters left: 2 (316 enodes) 452.911 * * [simplify]: iters left: 1 (437 enodes) 453.095 * * [simplify]: Extracting #0: cost 1 inf + 0 453.095 * * [simplify]: Extracting #1: cost 21 inf + 0 453.095 * * [simplify]: Extracting #2: cost 43 inf + 1 453.095 * * [simplify]: Extracting #3: cost 65 inf + 1 453.096 * * [simplify]: Extracting #4: cost 87 inf + 2 453.096 * * [simplify]: Extracting #5: cost 80 inf + 692 453.097 * * [simplify]: Extracting #6: cost 50 inf + 6246 453.100 * * [simplify]: Extracting #7: cost 22 inf + 17771 453.106 * * [simplify]: Extracting #8: cost 2 inf + 29666 453.116 * * [simplify]: Extracting #9: cost 0 inf + 31232 453.123 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (fabs (cbrt 2)))))) 453.123 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 453.124 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 453.124 * * [simplify]: iters left: 6 (22 enodes) 453.130 * * [simplify]: iters left: 5 (79 enodes) 453.143 * * [simplify]: iters left: 4 (122 enodes) 453.164 * * [simplify]: iters left: 3 (205 enodes) 453.234 * * [simplify]: iters left: 2 (295 enodes) 453.301 * * [simplify]: iters left: 1 (425 enodes) 453.434 * * [simplify]: Extracting #0: cost 1 inf + 0 453.434 * * [simplify]: Extracting #1: cost 43 inf + 0 453.434 * * [simplify]: Extracting #2: cost 73 inf + 2 453.435 * * [simplify]: Extracting #3: cost 94 inf + 2 453.435 * * [simplify]: Extracting #4: cost 115 inf + 2 453.435 * * [simplify]: Extracting #5: cost 106 inf + 815 453.440 * * [simplify]: Extracting #6: cost 65 inf + 11108 453.443 * * [simplify]: Extracting #7: cost 44 inf + 18459 453.448 * * [simplify]: Extracting #8: cost 30 inf + 26636 453.455 * * [simplify]: Extracting #9: cost 0 inf + 44696 453.464 * [simplify]: Simplified to (/ (* a1 (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2))))) 453.464 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (* a1 (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 453.464 * * * * [progress]: [ 610 / 4148 ] simplifiying candidate # 453.464 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 453.464 * * [simplify]: iters left: 6 (25 enodes) 453.472 * * [simplify]: iters left: 5 (94 enodes) 453.499 * * [simplify]: iters left: 4 (155 enodes) 453.556 * * [simplify]: iters left: 3 (319 enodes) 453.638 * * [simplify]: Extracting #0: cost 1 inf + 0 453.639 * * [simplify]: Extracting #1: cost 63 inf + 0 453.639 * * [simplify]: Extracting #2: cost 136 inf + 1 453.640 * * [simplify]: Extracting #3: cost 152 inf + 326 453.640 * * [simplify]: Extracting #4: cost 166 inf + 692 453.641 * * [simplify]: Extracting #5: cost 157 inf + 1948 453.644 * * [simplify]: Extracting #6: cost 106 inf + 21095 453.654 * * [simplify]: Extracting #7: cost 59 inf + 43291 453.679 * * [simplify]: Extracting #8: cost 12 inf + 76605 453.711 * * [simplify]: Extracting #9: cost 0 inf + 86443 453.743 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) 453.743 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 453.744 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 453.744 * * [simplify]: iters left: 6 (22 enodes) 453.756 * * [simplify]: iters left: 5 (79 enodes) 453.786 * * [simplify]: iters left: 4 (122 enodes) 453.826 * * [simplify]: iters left: 3 (205 enodes) 453.894 * * [simplify]: iters left: 2 (303 enodes) 453.982 * * [simplify]: iters left: 1 (436 enodes) 454.127 * * [simplify]: Extracting #0: cost 1 inf + 0 454.127 * * [simplify]: Extracting #1: cost 32 inf + 0 454.128 * * [simplify]: Extracting #2: cost 64 inf + 1 454.128 * * [simplify]: Extracting #3: cost 82 inf + 164 454.129 * * [simplify]: Extracting #4: cost 103 inf + 164 454.130 * * [simplify]: Extracting #5: cost 93 inf + 1018 454.131 * * [simplify]: Extracting #6: cost 64 inf + 7275 454.134 * * [simplify]: Extracting #7: cost 32 inf + 20354 454.140 * * [simplify]: Extracting #8: cost 5 inf + 35947 454.148 * * [simplify]: Extracting #9: cost 0 inf + 38918 454.157 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 454.157 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 454.158 * * * * [progress]: [ 611 / 4148 ] simplifiying candidate # 454.158 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 454.158 * * [simplify]: iters left: 6 (24 enodes) 454.166 * * [simplify]: iters left: 5 (89 enodes) 454.180 * * [simplify]: iters left: 4 (142 enodes) 454.207 * * [simplify]: iters left: 3 (270 enodes) 454.277 * * [simplify]: iters left: 2 (458 enodes) 454.450 * * [simplify]: Extracting #0: cost 1 inf + 0 454.450 * * [simplify]: Extracting #1: cost 56 inf + 0 454.451 * * [simplify]: Extracting #2: cost 104 inf + 1 454.452 * * [simplify]: Extracting #3: cost 130 inf + 43 454.453 * * [simplify]: Extracting #4: cost 149 inf + 84 454.455 * * [simplify]: Extracting #5: cost 142 inf + 452 454.457 * * [simplify]: Extracting #6: cost 108 inf + 7440 454.466 * * [simplify]: Extracting #7: cost 57 inf + 29815 454.492 * * [simplify]: Extracting #8: cost 5 inf + 63220 454.521 * * [simplify]: Extracting #9: cost 0 inf + 67095 454.551 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) 454.551 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 454.552 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 454.552 * * [simplify]: iters left: 6 (22 enodes) 454.563 * * [simplify]: iters left: 5 (79 enodes) 454.588 * * [simplify]: iters left: 4 (122 enodes) 454.618 * * [simplify]: iters left: 3 (205 enodes) 454.664 * * [simplify]: iters left: 2 (303 enodes) 454.755 * * [simplify]: iters left: 1 (436 enodes) 454.940 * * [simplify]: Extracting #0: cost 1 inf + 0 454.940 * * [simplify]: Extracting #1: cost 32 inf + 0 454.941 * * [simplify]: Extracting #2: cost 64 inf + 1 454.941 * * [simplify]: Extracting #3: cost 82 inf + 84 454.942 * * [simplify]: Extracting #4: cost 103 inf + 84 454.943 * * [simplify]: Extracting #5: cost 93 inf + 938 454.946 * * [simplify]: Extracting #6: cost 64 inf + 7075 454.952 * * [simplify]: Extracting #7: cost 32 inf + 19674 454.966 * * [simplify]: Extracting #8: cost 5 inf + 34667 454.982 * * [simplify]: Extracting #9: cost 0 inf + 37518 454.995 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 454.995 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 454.996 * * * * [progress]: [ 612 / 4148 ] simplifiying candidate # 454.996 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 454.996 * * [simplify]: iters left: 6 (23 enodes) 455.011 * * [simplify]: iters left: 5 (84 enodes) 455.042 * * [simplify]: iters left: 4 (127 enodes) 455.071 * * [simplify]: iters left: 3 (218 enodes) 455.120 * * [simplify]: iters left: 2 (308 enodes) 455.252 * * [simplify]: iters left: 1 (435 enodes) 455.411 * * [simplify]: Extracting #0: cost 1 inf + 0 455.412 * * [simplify]: Extracting #1: cost 23 inf + 0 455.412 * * [simplify]: Extracting #2: cost 45 inf + 1 455.412 * * [simplify]: Extracting #3: cost 67 inf + 1 455.413 * * [simplify]: Extracting #4: cost 87 inf + 2 455.414 * * [simplify]: Extracting #5: cost 74 inf + 1359 455.415 * * [simplify]: Extracting #6: cost 41 inf + 8559 455.421 * * [simplify]: Extracting #7: cost 12 inf + 22719 455.429 * * [simplify]: Extracting #8: cost 0 inf + 29996 455.436 * [simplify]: Simplified to (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 455.436 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 455.436 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 455.436 * * [simplify]: iters left: 6 (21 enodes) 455.444 * * [simplify]: iters left: 5 (76 enodes) 455.469 * * [simplify]: iters left: 4 (119 enodes) 455.495 * * [simplify]: iters left: 3 (202 enodes) 455.543 * * [simplify]: iters left: 2 (293 enodes) 455.626 * * [simplify]: iters left: 1 (422 enodes) 455.759 * * [simplify]: Extracting #0: cost 1 inf + 0 455.759 * * [simplify]: Extracting #1: cost 41 inf + 0 455.760 * * [simplify]: Extracting #2: cost 71 inf + 2 455.760 * * [simplify]: Extracting #3: cost 92 inf + 2 455.760 * * [simplify]: Extracting #4: cost 112 inf + 2 455.761 * * [simplify]: Extracting #5: cost 98 inf + 1664 455.763 * * [simplify]: Extracting #6: cost 62 inf + 10643 455.768 * * [simplify]: Extracting #7: cost 30 inf + 23466 455.780 * * [simplify]: Extracting #8: cost 1 inf + 39765 455.787 * * [simplify]: Extracting #9: cost 0 inf + 40247 455.795 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 455.795 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 455.796 * * * * [progress]: [ 613 / 4148 ] simplifiying candidate # 455.796 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 455.796 * * [simplify]: iters left: 6 (25 enodes) 455.804 * * [simplify]: iters left: 5 (94 enodes) 455.827 * * [simplify]: iters left: 4 (152 enodes) 455.867 * * [simplify]: iters left: 3 (319 enodes) 455.966 * * [simplify]: Extracting #0: cost 1 inf + 0 455.967 * * [simplify]: Extracting #1: cost 59 inf + 0 455.968 * * [simplify]: Extracting #2: cost 151 inf + 1 455.969 * * [simplify]: Extracting #3: cost 163 inf + 326 455.971 * * [simplify]: Extracting #4: cost 166 inf + 2394 455.974 * * [simplify]: Extracting #5: cost 140 inf + 8129 455.990 * * [simplify]: Extracting #6: cost 36 inf + 57893 456.017 * * [simplify]: Extracting #7: cost 0 inf + 78290 456.044 * * [simplify]: Extracting #8: cost 0 inf + 78168 456.062 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 456.062 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 456.062 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 456.062 * * [simplify]: iters left: 6 (19 enodes) 456.068 * * [simplify]: iters left: 5 (70 enodes) 456.086 * * [simplify]: iters left: 4 (116 enodes) 456.124 * * [simplify]: iters left: 3 (196 enodes) 456.185 * * [simplify]: iters left: 2 (272 enodes) 456.277 * * [simplify]: iters left: 1 (373 enodes) 456.418 * * [simplify]: Extracting #0: cost 1 inf + 0 456.419 * * [simplify]: Extracting #1: cost 29 inf + 0 456.419 * * [simplify]: Extracting #2: cost 50 inf + 1 456.419 * * [simplify]: Extracting #3: cost 66 inf + 164 456.420 * * [simplify]: Extracting #4: cost 86 inf + 164 456.421 * * [simplify]: Extracting #5: cost 74 inf + 2003 456.426 * * [simplify]: Extracting #6: cost 29 inf + 16366 456.433 * * [simplify]: Extracting #7: cost 1 inf + 28300 456.439 * * [simplify]: Extracting #8: cost 0 inf + 28964 456.444 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 456.444 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 456.445 * * * * [progress]: [ 614 / 4148 ] simplifiying candidate # 456.445 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 456.445 * * [simplify]: iters left: 6 (24 enodes) 456.454 * * [simplify]: iters left: 5 (89 enodes) 456.468 * * [simplify]: iters left: 4 (136 enodes) 456.494 * * [simplify]: iters left: 3 (246 enodes) 456.539 * * [simplify]: iters left: 2 (401 enodes) 456.686 * * [simplify]: Extracting #0: cost 1 inf + 0 456.686 * * [simplify]: Extracting #1: cost 30 inf + 0 456.687 * * [simplify]: Extracting #2: cost 54 inf + 1 456.687 * * [simplify]: Extracting #3: cost 75 inf + 248 456.688 * * [simplify]: Extracting #4: cost 94 inf + 248 456.689 * * [simplify]: Extracting #5: cost 84 inf + 1142 456.694 * * [simplify]: Extracting #6: cost 32 inf + 16695 456.708 * * [simplify]: Extracting #7: cost 4 inf + 29235 456.723 * * [simplify]: Extracting #8: cost 0 inf + 31649 456.732 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 456.732 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 456.732 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 456.733 * * [simplify]: iters left: 6 (19 enodes) 456.738 * * [simplify]: iters left: 5 (70 enodes) 456.751 * * [simplify]: iters left: 4 (116 enodes) 456.783 * * [simplify]: iters left: 3 (196 enodes) 456.849 * * [simplify]: iters left: 2 (272 enodes) 456.913 * * [simplify]: iters left: 1 (373 enodes) 457.028 * * [simplify]: Extracting #0: cost 1 inf + 0 457.028 * * [simplify]: Extracting #1: cost 29 inf + 0 457.028 * * [simplify]: Extracting #2: cost 50 inf + 1 457.028 * * [simplify]: Extracting #3: cost 66 inf + 84 457.029 * * [simplify]: Extracting #4: cost 86 inf + 84 457.029 * * [simplify]: Extracting #5: cost 74 inf + 1843 457.031 * * [simplify]: Extracting #6: cost 29 inf + 15766 457.036 * * [simplify]: Extracting #7: cost 1 inf + 27180 457.044 * * [simplify]: Extracting #8: cost 0 inf + 27804 457.049 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 457.049 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 457.050 * * * * [progress]: [ 615 / 4148 ] simplifiying candidate # 457.050 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt 1))) 1)) 457.050 * * [simplify]: iters left: 6 (23 enodes) 457.061 * * [simplify]: iters left: 5 (84 enodes) 457.086 * * [simplify]: iters left: 4 (118 enodes) 457.121 * * [simplify]: iters left: 3 (188 enodes) 457.184 * * [simplify]: iters left: 2 (263 enodes) 457.260 * * [simplify]: iters left: 1 (355 enodes) 457.403 * * [simplify]: Extracting #0: cost 1 inf + 0 457.404 * * [simplify]: Extracting #1: cost 12 inf + 0 457.404 * * [simplify]: Extracting #2: cost 22 inf + 1 457.404 * * [simplify]: Extracting #3: cost 42 inf + 1 457.405 * * [simplify]: Extracting #4: cost 61 inf + 2 457.405 * * [simplify]: Extracting #5: cost 46 inf + 1802 457.409 * * [simplify]: Extracting #6: cost 14 inf + 10399 457.416 * * [simplify]: Extracting #7: cost 1 inf + 15477 457.426 * * [simplify]: Extracting #8: cost 0 inf + 16020 457.434 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 457.434 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 457.435 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 457.435 * * [simplify]: iters left: 6 (18 enodes) 457.446 * * [simplify]: iters left: 5 (67 enodes) 457.468 * * [simplify]: iters left: 4 (113 enodes) 457.509 * * [simplify]: iters left: 3 (189 enodes) 457.550 * * [simplify]: iters left: 2 (260 enodes) 457.609 * * [simplify]: iters left: 1 (360 enodes) 457.743 * * [simplify]: Extracting #0: cost 1 inf + 0 457.744 * * [simplify]: Extracting #1: cost 31 inf + 0 457.744 * * [simplify]: Extracting #2: cost 48 inf + 2 457.744 * * [simplify]: Extracting #3: cost 67 inf + 2 457.745 * * [simplify]: Extracting #4: cost 86 inf + 2 457.746 * * [simplify]: Extracting #5: cost 72 inf + 1900 457.750 * * [simplify]: Extracting #6: cost 38 inf + 9612 457.757 * * [simplify]: Extracting #7: cost 15 inf + 18796 457.768 * * [simplify]: Extracting #8: cost 0 inf + 26504 457.780 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 457.780 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 457.780 * * * * [progress]: [ 616 / 4148 ] simplifiying candidate # 457.780 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 457.781 * * [simplify]: iters left: 6 (25 enodes) 457.791 * * [simplify]: iters left: 5 (94 enodes) 457.806 * * [simplify]: iters left: 4 (155 enodes) 457.846 * * [simplify]: iters left: 3 (319 enodes) 457.960 * * [simplify]: Extracting #0: cost 1 inf + 0 457.960 * * [simplify]: Extracting #1: cost 63 inf + 0 457.961 * * [simplify]: Extracting #2: cost 136 inf + 1 457.963 * * [simplify]: Extracting #3: cost 152 inf + 326 457.964 * * [simplify]: Extracting #4: cost 166 inf + 692 457.965 * * [simplify]: Extracting #5: cost 157 inf + 1948 457.971 * * [simplify]: Extracting #6: cost 106 inf + 21095 457.984 * * [simplify]: Extracting #7: cost 59 inf + 43291 458.010 * * [simplify]: Extracting #8: cost 12 inf + 76605 458.041 * * [simplify]: Extracting #9: cost 0 inf + 86443 458.073 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) 458.073 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 458.074 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 458.074 * * [simplify]: iters left: 6 (22 enodes) 458.085 * * [simplify]: iters left: 5 (79 enodes) 458.109 * * [simplify]: iters left: 4 (122 enodes) 458.130 * * [simplify]: iters left: 3 (205 enodes) 458.189 * * [simplify]: iters left: 2 (303 enodes) 458.303 * * [simplify]: iters left: 1 (436 enodes) 458.468 * * [simplify]: Extracting #0: cost 1 inf + 0 458.468 * * [simplify]: Extracting #1: cost 32 inf + 0 458.469 * * [simplify]: Extracting #2: cost 64 inf + 1 458.469 * * [simplify]: Extracting #3: cost 82 inf + 164 458.470 * * [simplify]: Extracting #4: cost 103 inf + 164 458.470 * * [simplify]: Extracting #5: cost 93 inf + 1018 458.473 * * [simplify]: Extracting #6: cost 64 inf + 7275 458.479 * * [simplify]: Extracting #7: cost 32 inf + 20354 458.492 * * [simplify]: Extracting #8: cost 5 inf + 35947 458.507 * * [simplify]: Extracting #9: cost 0 inf + 38918 458.522 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 458.522 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 458.523 * * * * [progress]: [ 617 / 4148 ] simplifiying candidate # 458.523 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 458.523 * * [simplify]: iters left: 6 (24 enodes) 458.534 * * [simplify]: iters left: 5 (89 enodes) 458.548 * * [simplify]: iters left: 4 (142 enodes) 458.581 * * [simplify]: iters left: 3 (270 enodes) 458.657 * * [simplify]: iters left: 2 (458 enodes) 458.839 * * [simplify]: Extracting #0: cost 1 inf + 0 458.840 * * [simplify]: Extracting #1: cost 56 inf + 0 458.841 * * [simplify]: Extracting #2: cost 104 inf + 1 458.845 * * [simplify]: Extracting #3: cost 130 inf + 43 458.846 * * [simplify]: Extracting #4: cost 149 inf + 84 458.847 * * [simplify]: Extracting #5: cost 142 inf + 452 458.850 * * [simplify]: Extracting #6: cost 108 inf + 7440 458.859 * * [simplify]: Extracting #7: cost 57 inf + 29815 458.884 * * [simplify]: Extracting #8: cost 5 inf + 63220 458.912 * * [simplify]: Extracting #9: cost 0 inf + 67095 458.941 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) 458.941 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 458.942 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 458.942 * * [simplify]: iters left: 6 (22 enodes) 458.954 * * [simplify]: iters left: 5 (79 enodes) 458.981 * * [simplify]: iters left: 4 (122 enodes) 459.022 * * [simplify]: iters left: 3 (205 enodes) 459.088 * * [simplify]: iters left: 2 (303 enodes) 459.180 * * [simplify]: iters left: 1 (436 enodes) 459.356 * * [simplify]: Extracting #0: cost 1 inf + 0 459.356 * * [simplify]: Extracting #1: cost 32 inf + 0 459.357 * * [simplify]: Extracting #2: cost 64 inf + 1 459.357 * * [simplify]: Extracting #3: cost 82 inf + 84 459.358 * * [simplify]: Extracting #4: cost 103 inf + 84 459.359 * * [simplify]: Extracting #5: cost 93 inf + 938 459.362 * * [simplify]: Extracting #6: cost 64 inf + 7075 459.368 * * [simplify]: Extracting #7: cost 32 inf + 19674 459.379 * * [simplify]: Extracting #8: cost 5 inf + 34667 459.387 * * [simplify]: Extracting #9: cost 0 inf + 37518 459.394 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 459.394 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 459.394 * * * * [progress]: [ 618 / 4148 ] simplifiying candidate # 459.395 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 459.395 * * [simplify]: iters left: 6 (23 enodes) 459.403 * * [simplify]: iters left: 5 (84 enodes) 459.427 * * [simplify]: iters left: 4 (127 enodes) 459.448 * * [simplify]: iters left: 3 (218 enodes) 459.517 * * [simplify]: iters left: 2 (308 enodes) 459.615 * * [simplify]: iters left: 1 (435 enodes) 459.785 * * [simplify]: Extracting #0: cost 1 inf + 0 459.785 * * [simplify]: Extracting #1: cost 23 inf + 0 459.786 * * [simplify]: Extracting #2: cost 45 inf + 1 459.786 * * [simplify]: Extracting #3: cost 67 inf + 1 459.787 * * [simplify]: Extracting #4: cost 87 inf + 2 459.788 * * [simplify]: Extracting #5: cost 74 inf + 1359 459.791 * * [simplify]: Extracting #6: cost 41 inf + 8559 459.799 * * [simplify]: Extracting #7: cost 12 inf + 22719 459.815 * * [simplify]: Extracting #8: cost 0 inf + 29996 459.829 * [simplify]: Simplified to (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 459.829 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 459.830 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 459.830 * * [simplify]: iters left: 6 (21 enodes) 459.842 * * [simplify]: iters left: 5 (76 enodes) 459.868 * * [simplify]: iters left: 4 (119 enodes) 459.905 * * [simplify]: iters left: 3 (202 enodes) 459.955 * * [simplify]: iters left: 2 (293 enodes) 460.040 * * [simplify]: iters left: 1 (422 enodes) 460.179 * * [simplify]: Extracting #0: cost 1 inf + 0 460.180 * * [simplify]: Extracting #1: cost 41 inf + 0 460.180 * * [simplify]: Extracting #2: cost 71 inf + 2 460.180 * * [simplify]: Extracting #3: cost 92 inf + 2 460.181 * * [simplify]: Extracting #4: cost 112 inf + 2 460.181 * * [simplify]: Extracting #5: cost 98 inf + 1664 460.185 * * [simplify]: Extracting #6: cost 62 inf + 10643 460.189 * * [simplify]: Extracting #7: cost 30 inf + 23466 460.202 * * [simplify]: Extracting #8: cost 1 inf + 39765 460.218 * * [simplify]: Extracting #9: cost 0 inf + 40247 460.234 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 460.234 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 460.235 * * * * [progress]: [ 619 / 4148 ] simplifiying candidate # 460.235 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 460.235 * * [simplify]: iters left: 6 (23 enodes) 460.251 * * [simplify]: iters left: 5 (88 enodes) 460.278 * * [simplify]: iters left: 4 (146 enodes) 460.316 * * [simplify]: iters left: 3 (313 enodes) 460.420 * * [simplify]: Extracting #0: cost 1 inf + 0 460.420 * * [simplify]: Extracting #1: cost 60 inf + 0 460.421 * * [simplify]: Extracting #2: cost 151 inf + 1 460.422 * * [simplify]: Extracting #3: cost 164 inf + 326 460.424 * * [simplify]: Extracting #4: cost 169 inf + 2070 460.425 * * [simplify]: Extracting #5: cost 160 inf + 3066 460.428 * * [simplify]: Extracting #6: cost 144 inf + 6415 460.435 * * [simplify]: Extracting #7: cost 56 inf + 46220 460.447 * * [simplify]: Extracting #8: cost 3 inf + 76640 460.467 * * [simplify]: Extracting #9: cost 0 inf + 78391 460.494 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 460.494 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 460.495 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 460.495 * * [simplify]: iters left: 6 (19 enodes) 460.505 * * [simplify]: iters left: 5 (70 enodes) 460.526 * * [simplify]: iters left: 4 (116 enodes) 460.546 * * [simplify]: iters left: 3 (196 enodes) 460.604 * * [simplify]: iters left: 2 (272 enodes) 460.708 * * [simplify]: iters left: 1 (373 enodes) 460.828 * * [simplify]: Extracting #0: cost 1 inf + 0 460.828 * * [simplify]: Extracting #1: cost 29 inf + 0 460.829 * * [simplify]: Extracting #2: cost 50 inf + 1 460.829 * * [simplify]: Extracting #3: cost 66 inf + 164 460.829 * * [simplify]: Extracting #4: cost 86 inf + 164 460.830 * * [simplify]: Extracting #5: cost 74 inf + 2003 460.832 * * [simplify]: Extracting #6: cost 29 inf + 16366 460.837 * * [simplify]: Extracting #7: cost 1 inf + 28300 460.843 * * [simplify]: Extracting #8: cost 0 inf + 28964 460.848 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 460.848 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 460.848 * * * * [progress]: [ 620 / 4148 ] simplifiying candidate # 460.849 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt 1)) (sqrt a1))) 460.849 * * [simplify]: iters left: 6 (22 enodes) 460.864 * * [simplify]: iters left: 5 (83 enodes) 460.879 * * [simplify]: iters left: 4 (130 enodes) 460.910 * * [simplify]: iters left: 3 (240 enodes) 460.973 * * [simplify]: iters left: 2 (394 enodes) 461.155 * * [simplify]: Extracting #0: cost 1 inf + 0 461.156 * * [simplify]: Extracting #1: cost 30 inf + 0 461.156 * * [simplify]: Extracting #2: cost 54 inf + 1 461.157 * * [simplify]: Extracting #3: cost 75 inf + 248 461.157 * * [simplify]: Extracting #4: cost 94 inf + 248 461.158 * * [simplify]: Extracting #5: cost 86 inf + 838 461.160 * * [simplify]: Extracting #6: cost 40 inf + 13733 461.169 * * [simplify]: Extracting #7: cost 5 inf + 28612 461.176 * * [simplify]: Extracting #8: cost 0 inf + 31649 461.184 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 461.184 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 461.184 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 461.185 * * [simplify]: iters left: 6 (19 enodes) 461.190 * * [simplify]: iters left: 5 (70 enodes) 461.208 * * [simplify]: iters left: 4 (116 enodes) 461.228 * * [simplify]: iters left: 3 (196 enodes) 461.288 * * [simplify]: iters left: 2 (272 enodes) 461.361 * * [simplify]: iters left: 1 (373 enodes) 461.467 * * [simplify]: Extracting #0: cost 1 inf + 0 461.467 * * [simplify]: Extracting #1: cost 29 inf + 0 461.467 * * [simplify]: Extracting #2: cost 50 inf + 1 461.467 * * [simplify]: Extracting #3: cost 66 inf + 84 461.468 * * [simplify]: Extracting #4: cost 86 inf + 84 461.468 * * [simplify]: Extracting #5: cost 74 inf + 1843 461.473 * * [simplify]: Extracting #6: cost 29 inf + 15766 461.483 * * [simplify]: Extracting #7: cost 1 inf + 27180 461.490 * * [simplify]: Extracting #8: cost 0 inf + 27804 461.495 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 461.495 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 461.496 * * * * [progress]: [ 621 / 4148 ] simplifiying candidate # 461.496 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (cbrt 1)) 1)) 461.496 * * [simplify]: iters left: 6 (21 enodes) 461.504 * * [simplify]: iters left: 5 (78 enodes) 461.523 * * [simplify]: iters left: 4 (112 enodes) 461.557 * * [simplify]: iters left: 3 (183 enodes) 461.605 * * [simplify]: iters left: 2 (260 enodes) 461.679 * * [simplify]: iters left: 1 (358 enodes) 461.844 * * [simplify]: Extracting #0: cost 1 inf + 0 461.845 * * [simplify]: Extracting #1: cost 12 inf + 0 461.845 * * [simplify]: Extracting #2: cost 22 inf + 1 461.845 * * [simplify]: Extracting #3: cost 42 inf + 1 461.845 * * [simplify]: Extracting #4: cost 60 inf + 2 461.845 * * [simplify]: Extracting #5: cost 52 inf + 711 461.846 * * [simplify]: Extracting #6: cost 25 inf + 6064 461.849 * * [simplify]: Extracting #7: cost 4 inf + 13686 461.853 * * [simplify]: Extracting #8: cost 0 inf + 15818 461.858 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) 461.858 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 461.858 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 461.859 * * [simplify]: iters left: 6 (18 enodes) 461.869 * * [simplify]: iters left: 5 (67 enodes) 461.892 * * [simplify]: iters left: 4 (113 enodes) 461.918 * * [simplify]: iters left: 3 (189 enodes) 461.962 * * [simplify]: iters left: 2 (260 enodes) 462.028 * * [simplify]: iters left: 1 (360 enodes) 462.144 * * [simplify]: Extracting #0: cost 1 inf + 0 462.144 * * [simplify]: Extracting #1: cost 31 inf + 0 462.144 * * [simplify]: Extracting #2: cost 48 inf + 2 462.145 * * [simplify]: Extracting #3: cost 67 inf + 2 462.145 * * [simplify]: Extracting #4: cost 86 inf + 2 462.145 * * [simplify]: Extracting #5: cost 72 inf + 1900 462.147 * * [simplify]: Extracting #6: cost 38 inf + 9612 462.151 * * [simplify]: Extracting #7: cost 15 inf + 18796 462.159 * * [simplify]: Extracting #8: cost 0 inf + 26504 462.170 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 462.170 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1))))) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 462.170 * * * * [progress]: [ 622 / 4148 ] simplifiying candidate # 462.171 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 462.171 * * [simplify]: iters left: 6 (24 enodes) 462.186 * * [simplify]: iters left: 5 (91 enodes) 462.202 * * [simplify]: iters left: 4 (152 enodes) 462.234 * * [simplify]: iters left: 3 (317 enodes) 462.345 * * [simplify]: Extracting #0: cost 1 inf + 0 462.346 * * [simplify]: Extracting #1: cost 63 inf + 0 462.347 * * [simplify]: Extracting #2: cost 136 inf + 1 462.348 * * [simplify]: Extracting #3: cost 150 inf + 286 462.349 * * [simplify]: Extracting #4: cost 167 inf + 571 462.351 * * [simplify]: Extracting #5: cost 162 inf + 1020 462.352 * * [simplify]: Extracting #6: cost 159 inf + 1343 462.359 * * [simplify]: Extracting #7: cost 97 inf + 25851 462.390 * * [simplify]: Extracting #8: cost 7 inf + 79964 462.414 * * [simplify]: Extracting #9: cost 0 inf + 85287 462.430 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 462.431 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 462.431 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 462.431 * * [simplify]: iters left: 6 (20 enodes) 462.437 * * [simplify]: iters left: 5 (73 enodes) 462.457 * * [simplify]: iters left: 4 (116 enodes) 462.494 * * [simplify]: iters left: 3 (199 enodes) 462.547 * * [simplify]: iters left: 2 (295 enodes) 462.636 * * [simplify]: iters left: 1 (440 enodes) 462.803 * * [simplify]: Extracting #0: cost 1 inf + 0 462.803 * * [simplify]: Extracting #1: cost 40 inf + 0 462.804 * * [simplify]: Extracting #2: cost 72 inf + 1 462.804 * * [simplify]: Extracting #3: cost 88 inf + 164 462.805 * * [simplify]: Extracting #4: cost 107 inf + 164 462.806 * * [simplify]: Extracting #5: cost 93 inf + 1906 462.810 * * [simplify]: Extracting #6: cost 46 inf + 17050 462.817 * * [simplify]: Extracting #7: cost 7 inf + 37639 462.824 * * [simplify]: Extracting #8: cost 0 inf + 42003 462.832 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 462.832 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 462.832 * * * * [progress]: [ 623 / 4148 ] simplifiying candidate # 462.833 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 462.833 * * [simplify]: iters left: 6 (23 enodes) 462.840 * * [simplify]: iters left: 5 (86 enodes) 462.867 * * [simplify]: iters left: 4 (139 enodes) 462.916 * * [simplify]: iters left: 3 (268 enodes) 462.991 * * [simplify]: iters left: 2 (460 enodes) 463.209 * * [simplify]: Extracting #0: cost 1 inf + 0 463.209 * * [simplify]: Extracting #1: cost 56 inf + 0 463.210 * * [simplify]: Extracting #2: cost 105 inf + 1 463.211 * * [simplify]: Extracting #3: cost 130 inf + 43 463.212 * * [simplify]: Extracting #4: cost 148 inf + 84 463.214 * * [simplify]: Extracting #5: cost 138 inf + 1098 463.218 * * [simplify]: Extracting #6: cost 94 inf + 13418 463.231 * * [simplify]: Extracting #7: cost 44 inf + 37991 463.254 * * [simplify]: Extracting #8: cost 4 inf + 63623 463.271 * * [simplify]: Extracting #9: cost 0 inf + 66396 463.292 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) 463.292 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 463.293 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 463.293 * * [simplify]: iters left: 6 (20 enodes) 463.305 * * [simplify]: iters left: 5 (73 enodes) 463.326 * * [simplify]: iters left: 4 (116 enodes) 463.345 * * [simplify]: iters left: 3 (199 enodes) 463.409 * * [simplify]: iters left: 2 (295 enodes) 463.502 * * [simplify]: iters left: 1 (440 enodes) 463.681 * * [simplify]: Extracting #0: cost 1 inf + 0 463.681 * * [simplify]: Extracting #1: cost 40 inf + 0 463.681 * * [simplify]: Extracting #2: cost 72 inf + 1 463.681 * * [simplify]: Extracting #3: cost 88 inf + 84 463.682 * * [simplify]: Extracting #4: cost 107 inf + 84 463.682 * * [simplify]: Extracting #5: cost 93 inf + 1826 463.685 * * [simplify]: Extracting #6: cost 46 inf + 16330 463.691 * * [simplify]: Extracting #7: cost 7 inf + 36159 463.699 * * [simplify]: Extracting #8: cost 0 inf + 40403 463.707 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 463.707 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 463.707 * * * * [progress]: [ 624 / 4148 ] simplifiying candidate # 463.707 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 463.707 * * [simplify]: iters left: 6 (22 enodes) 463.717 * * [simplify]: iters left: 5 (81 enodes) 463.730 * * [simplify]: iters left: 4 (124 enodes) 463.752 * * [simplify]: iters left: 3 (216 enodes) 463.824 * * [simplify]: iters left: 2 (307 enodes) 463.924 * * [simplify]: iters left: 1 (428 enodes) 464.127 * * [simplify]: Extracting #0: cost 1 inf + 0 464.127 * * [simplify]: Extracting #1: cost 21 inf + 0 464.127 * * [simplify]: Extracting #2: cost 43 inf + 1 464.128 * * [simplify]: Extracting #3: cost 64 inf + 1 464.129 * * [simplify]: Extracting #4: cost 83 inf + 2 464.129 * * [simplify]: Extracting #5: cost 80 inf + 65 464.130 * * [simplify]: Extracting #6: cost 66 inf + 2209 464.135 * * [simplify]: Extracting #7: cost 25 inf + 15301 464.145 * * [simplify]: Extracting #8: cost 2 inf + 27060 464.158 * * [simplify]: Extracting #9: cost 0 inf + 28266 464.170 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))))) 464.171 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 464.171 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 464.171 * * [simplify]: iters left: 6 (19 enodes) 464.180 * * [simplify]: iters left: 5 (70 enodes) 464.205 * * [simplify]: iters left: 4 (113 enodes) 464.237 * * [simplify]: iters left: 3 (196 enodes) 464.270 * * [simplify]: iters left: 2 (286 enodes) 464.349 * * [simplify]: iters left: 1 (422 enodes) 464.506 * * [simplify]: Extracting #0: cost 1 inf + 0 464.506 * * [simplify]: Extracting #1: cost 37 inf + 0 464.507 * * [simplify]: Extracting #2: cost 66 inf + 2 464.507 * * [simplify]: Extracting #3: cost 85 inf + 2 464.508 * * [simplify]: Extracting #4: cost 105 inf + 2 464.509 * * [simplify]: Extracting #5: cost 97 inf + 593 464.512 * * [simplify]: Extracting #6: cost 59 inf + 9228 464.521 * * [simplify]: Extracting #7: cost 12 inf + 29032 464.535 * * [simplify]: Extracting #8: cost 0 inf + 35991 464.545 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 464.545 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 464.545 * * * * [progress]: [ 625 / 4148 ] simplifiying candidate # 464.546 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 464.546 * * [simplify]: iters left: 6 (24 enodes) 464.555 * * [simplify]: iters left: 5 (91 enodes) 464.570 * * [simplify]: iters left: 4 (152 enodes) 464.610 * * [simplify]: iters left: 3 (316 enodes) 464.701 * * [simplify]: Extracting #0: cost 1 inf + 0 464.701 * * [simplify]: Extracting #1: cost 63 inf + 0 464.702 * * [simplify]: Extracting #2: cost 136 inf + 1 464.702 * * [simplify]: Extracting #3: cost 150 inf + 286 464.703 * * [simplify]: Extracting #4: cost 167 inf + 571 464.704 * * [simplify]: Extracting #5: cost 158 inf + 1505 464.705 * * [simplify]: Extracting #6: cost 133 inf + 6752 464.711 * * [simplify]: Extracting #7: cost 70 inf + 38262 464.725 * * [simplify]: Extracting #8: cost 8 inf + 76180 464.749 * * [simplify]: Extracting #9: cost 0 inf + 82087 464.765 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 464.765 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 464.766 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 464.766 * * [simplify]: iters left: 6 (21 enodes) 464.774 * * [simplify]: iters left: 5 (76 enodes) 464.798 * * [simplify]: iters left: 4 (119 enodes) 464.836 * * [simplify]: iters left: 3 (202 enodes) 464.882 * * [simplify]: iters left: 2 (301 enodes) 465.001 * * [simplify]: iters left: 1 (439 enodes) 465.188 * * [simplify]: Extracting #0: cost 1 inf + 0 465.188 * * [simplify]: Extracting #1: cost 33 inf + 0 465.189 * * [simplify]: Extracting #2: cost 67 inf + 1 465.189 * * [simplify]: Extracting #3: cost 85 inf + 83 465.190 * * [simplify]: Extracting #4: cost 104 inf + 164 465.191 * * [simplify]: Extracting #5: cost 91 inf + 1664 465.195 * * [simplify]: Extracting #6: cost 50 inf + 13506 465.205 * * [simplify]: Extracting #7: cost 21 inf + 27473 465.219 * * [simplify]: Extracting #8: cost 1 inf + 38464 465.235 * * [simplify]: Extracting #9: cost 0 inf + 38826 465.251 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))))) 465.251 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 465.251 * * * * [progress]: [ 626 / 4148 ] simplifiying candidate # 465.252 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 465.252 * * [simplify]: iters left: 6 (23 enodes) 465.266 * * [simplify]: iters left: 5 (86 enodes) 465.293 * * [simplify]: iters left: 4 (139 enodes) 465.341 * * [simplify]: iters left: 3 (267 enodes) 465.416 * * [simplify]: iters left: 2 (456 enodes) 465.595 * * [simplify]: Extracting #0: cost 1 inf + 0 465.596 * * [simplify]: Extracting #1: cost 56 inf + 0 465.596 * * [simplify]: Extracting #2: cost 104 inf + 1 465.597 * * [simplify]: Extracting #3: cost 129 inf + 43 465.599 * * [simplify]: Extracting #4: cost 147 inf + 84 465.600 * * [simplify]: Extracting #5: cost 139 inf + 734 465.603 * * [simplify]: Extracting #6: cost 93 inf + 12899 465.609 * * [simplify]: Extracting #7: cost 48 inf + 34377 465.622 * * [simplify]: Extracting #8: cost 2 inf + 61527 465.639 * * [simplify]: Extracting #9: cost 0 inf + 62853 465.654 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 465.654 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 465.654 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 465.654 * * [simplify]: iters left: 6 (21 enodes) 465.661 * * [simplify]: iters left: 5 (76 enodes) 465.674 * * [simplify]: iters left: 4 (119 enodes) 465.703 * * [simplify]: iters left: 3 (202 enodes) 465.771 * * [simplify]: iters left: 2 (301 enodes) 465.862 * * [simplify]: iters left: 1 (439 enodes) 466.039 * * [simplify]: Extracting #0: cost 1 inf + 0 466.039 * * [simplify]: Extracting #1: cost 33 inf + 0 466.040 * * [simplify]: Extracting #2: cost 67 inf + 1 466.040 * * [simplify]: Extracting #3: cost 85 inf + 43 466.041 * * [simplify]: Extracting #4: cost 104 inf + 84 466.042 * * [simplify]: Extracting #5: cost 91 inf + 1584 466.044 * * [simplify]: Extracting #6: cost 50 inf + 13146 466.049 * * [simplify]: Extracting #7: cost 21 inf + 26433 466.056 * * [simplify]: Extracting #8: cost 1 inf + 37024 466.064 * * [simplify]: Extracting #9: cost 0 inf + 37346 466.072 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))))) 466.072 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 466.072 * * * * [progress]: [ 627 / 4148 ] simplifiying candidate # 466.073 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 466.073 * * [simplify]: iters left: 6 (22 enodes) 466.083 * * [simplify]: iters left: 5 (81 enodes) 466.108 * * [simplify]: iters left: 4 (124 enodes) 466.151 * * [simplify]: iters left: 3 (215 enodes) 466.203 * * [simplify]: iters left: 2 (305 enodes) 466.322 * * [simplify]: iters left: 1 (426 enodes) 466.513 * * [simplify]: Extracting #0: cost 1 inf + 0 466.513 * * [simplify]: Extracting #1: cost 24 inf + 0 466.514 * * [simplify]: Extracting #2: cost 46 inf + 1 466.514 * * [simplify]: Extracting #3: cost 67 inf + 1 466.515 * * [simplify]: Extracting #4: cost 85 inf + 2 466.516 * * [simplify]: Extracting #5: cost 76 inf + 952 466.520 * * [simplify]: Extracting #6: cost 30 inf + 14775 466.530 * * [simplify]: Extracting #7: cost 1 inf + 28073 466.537 * * [simplify]: Extracting #8: cost 0 inf + 28575 466.544 * [simplify]: Simplified to (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 466.544 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 466.544 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 466.544 * * [simplify]: iters left: 6 (20 enodes) 466.550 * * [simplify]: iters left: 5 (73 enodes) 466.571 * * [simplify]: iters left: 4 (116 enodes) 466.591 * * [simplify]: iters left: 3 (199 enodes) 466.636 * * [simplify]: iters left: 2 (287 enodes) 466.739 * * [simplify]: iters left: 1 (422 enodes) 466.902 * * [simplify]: Extracting #0: cost 1 inf + 0 466.903 * * [simplify]: Extracting #1: cost 36 inf + 0 466.903 * * [simplify]: Extracting #2: cost 66 inf + 2 466.904 * * [simplify]: Extracting #3: cost 86 inf + 2 466.904 * * [simplify]: Extracting #4: cost 105 inf + 2 466.905 * * [simplify]: Extracting #5: cost 92 inf + 1523 466.909 * * [simplify]: Extracting #6: cost 55 inf + 10747 466.917 * * [simplify]: Extracting #7: cost 19 inf + 26121 466.931 * * [simplify]: Extracting #8: cost 0 inf + 35168 466.946 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (sqrt (cbrt (sqrt 2))))) 466.946 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 466.946 * * * * [progress]: [ 628 / 4148 ] simplifiying candidate # 466.947 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 466.947 * * [simplify]: iters left: 6 (22 enodes) 466.965 * * [simplify]: iters left: 5 (85 enodes) 466.992 * * [simplify]: iters left: 4 (143 enodes) 467.042 * * [simplify]: iters left: 3 (310 enodes) 467.174 * * [simplify]: Extracting #0: cost 1 inf + 0 467.174 * * [simplify]: Extracting #1: cost 62 inf + 0 467.175 * * [simplify]: Extracting #2: cost 159 inf + 1 467.175 * * [simplify]: Extracting #3: cost 172 inf + 286 467.176 * * [simplify]: Extracting #4: cost 179 inf + 1989 467.178 * * [simplify]: Extracting #5: cost 147 inf + 10319 467.197 * * [simplify]: Extracting #6: cost 18 inf + 73527 467.216 * * [simplify]: Extracting #7: cost 0 inf + 82801 467.231 * * [simplify]: Extracting #8: cost 0 inf + 82721 467.257 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 467.257 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 467.258 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 467.258 * * [simplify]: iters left: 6 (19 enodes) 467.263 * * [simplify]: iters left: 5 (70 enodes) 467.275 * * [simplify]: iters left: 4 (116 enodes) 467.309 * * [simplify]: iters left: 3 (196 enodes) 467.347 * * [simplify]: iters left: 2 (272 enodes) 467.452 * * [simplify]: iters left: 1 (373 enodes) 467.613 * * [simplify]: Extracting #0: cost 1 inf + 0 467.613 * * [simplify]: Extracting #1: cost 29 inf + 0 467.613 * * [simplify]: Extracting #2: cost 50 inf + 1 467.613 * * [simplify]: Extracting #3: cost 66 inf + 164 467.614 * * [simplify]: Extracting #4: cost 86 inf + 164 467.614 * * [simplify]: Extracting #5: cost 74 inf + 2003 467.617 * * [simplify]: Extracting #6: cost 29 inf + 16366 467.622 * * [simplify]: Extracting #7: cost 1 inf + 28300 467.637 * * [simplify]: Extracting #8: cost 0 inf + 28964 467.648 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 467.648 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 467.648 * * * * [progress]: [ 629 / 4148 ] simplifiying candidate # 467.649 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (sqrt a1))) 467.649 * * [simplify]: iters left: 6 (21 enodes) 467.661 * * [simplify]: iters left: 5 (80 enodes) 467.676 * * [simplify]: iters left: 4 (128 enodes) 467.702 * * [simplify]: iters left: 3 (239 enodes) 467.797 * * [simplify]: iters left: 2 (397 enodes) 468.000 * * [simplify]: Extracting #0: cost 1 inf + 0 468.000 * * [simplify]: Extracting #1: cost 32 inf + 0 468.001 * * [simplify]: Extracting #2: cost 56 inf + 1 468.002 * * [simplify]: Extracting #3: cost 79 inf + 84 468.003 * * [simplify]: Extracting #4: cost 96 inf + 248 468.004 * * [simplify]: Extracting #5: cost 86 inf + 1101 468.009 * * [simplify]: Extracting #6: cost 35 inf + 17874 468.016 * * [simplify]: Extracting #7: cost 3 inf + 30984 468.023 * * [simplify]: Extracting #8: cost 0 inf + 32816 468.031 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (cbrt (cbrt (sqrt 2)))) 468.032 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 468.032 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 468.032 * * [simplify]: iters left: 6 (19 enodes) 468.040 * * [simplify]: iters left: 5 (70 enodes) 468.062 * * [simplify]: iters left: 4 (116 enodes) 468.085 * * [simplify]: iters left: 3 (196 enodes) 468.128 * * [simplify]: iters left: 2 (272 enodes) 468.228 * * [simplify]: iters left: 1 (373 enodes) 468.408 * * [simplify]: Extracting #0: cost 1 inf + 0 468.408 * * [simplify]: Extracting #1: cost 29 inf + 0 468.409 * * [simplify]: Extracting #2: cost 50 inf + 1 468.409 * * [simplify]: Extracting #3: cost 66 inf + 84 468.410 * * [simplify]: Extracting #4: cost 86 inf + 84 468.411 * * [simplify]: Extracting #5: cost 74 inf + 1843 468.415 * * [simplify]: Extracting #6: cost 29 inf + 15766 468.425 * * [simplify]: Extracting #7: cost 1 inf + 27180 468.436 * * [simplify]: Extracting #8: cost 0 inf + 27804 468.448 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 468.448 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) (sqrt a1))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 468.448 * * * * [progress]: [ 630 / 4148 ] simplifiying candidate # 468.449 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) 1)) 468.449 * * [simplify]: iters left: 6 (20 enodes) 468.463 * * [simplify]: iters left: 5 (76 enodes) 468.487 * * [simplify]: iters left: 4 (110 enodes) 468.506 * * [simplify]: iters left: 3 (181 enodes) 468.552 * * [simplify]: iters left: 2 (258 enodes) 468.633 * * [simplify]: iters left: 1 (344 enodes) 468.767 * * [simplify]: Extracting #0: cost 1 inf + 0 468.767 * * [simplify]: Extracting #1: cost 12 inf + 0 468.768 * * [simplify]: Extracting #2: cost 22 inf + 1 468.768 * * [simplify]: Extracting #3: cost 42 inf + 1 468.771 * * [simplify]: Extracting #4: cost 61 inf + 2 468.771 * * [simplify]: Extracting #5: cost 52 inf + 792 468.773 * * [simplify]: Extracting #6: cost 23 inf + 6690 468.776 * * [simplify]: Extracting #7: cost 5 inf + 13464 468.780 * * [simplify]: Extracting #8: cost 0 inf + 16020 468.784 * [simplify]: Simplified to (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2)))) 468.784 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 468.785 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 468.785 * * [simplify]: iters left: 6 (18 enodes) 468.791 * * [simplify]: iters left: 5 (67 enodes) 468.802 * * [simplify]: iters left: 4 (113 enodes) 468.836 * * [simplify]: iters left: 3 (189 enodes) 468.900 * * [simplify]: iters left: 2 (260 enodes) 468.995 * * [simplify]: iters left: 1 (360 enodes) 469.136 * * [simplify]: Extracting #0: cost 1 inf + 0 469.136 * * [simplify]: Extracting #1: cost 31 inf + 0 469.137 * * [simplify]: Extracting #2: cost 48 inf + 2 469.137 * * [simplify]: Extracting #3: cost 67 inf + 2 469.138 * * [simplify]: Extracting #4: cost 86 inf + 2 469.139 * * [simplify]: Extracting #5: cost 72 inf + 1900 469.143 * * [simplify]: Extracting #6: cost 38 inf + 9612 469.149 * * [simplify]: Extracting #7: cost 15 inf + 18796 469.160 * * [simplify]: Extracting #8: cost 0 inf + 26504 469.171 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 469.172 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (cbrt 1) 1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 469.172 * * * * [progress]: [ 631 / 4148 ] simplifiying candidate # 469.172 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 469.173 * * [simplify]: iters left: 6 (24 enodes) 469.181 * * [simplify]: iters left: 5 (95 enodes) 469.200 * * [simplify]: iters left: 4 (182 enodes) 469.251 * * [simplify]: iters left: 3 (471 enodes) 469.516 * * [simplify]: Extracting #0: cost 1 inf + 0 469.516 * * [simplify]: Extracting #1: cost 132 inf + 0 469.518 * * [simplify]: Extracting #2: cost 307 inf + 1 469.521 * * [simplify]: Extracting #3: cost 324 inf + 83 469.524 * * [simplify]: Extracting #4: cost 338 inf + 571 469.526 * * [simplify]: Extracting #5: cost 334 inf + 918 469.528 * * [simplify]: Extracting #6: cost 315 inf + 5535 469.548 * * [simplify]: Extracting #7: cost 129 inf + 111143 469.597 * * [simplify]: Extracting #8: cost 2 inf + 194799 469.669 * * [simplify]: Extracting #9: cost 0 inf + 196086 469.712 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 469.712 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 469.712 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 469.712 * * [simplify]: iters left: 6 (20 enodes) 469.718 * * [simplify]: iters left: 5 (73 enodes) 469.731 * * [simplify]: iters left: 4 (116 enodes) 469.764 * * [simplify]: iters left: 3 (199 enodes) 469.810 * * [simplify]: iters left: 2 (295 enodes) 469.913 * * [simplify]: iters left: 1 (440 enodes) 470.037 * * [simplify]: Extracting #0: cost 1 inf + 0 470.037 * * [simplify]: Extracting #1: cost 40 inf + 0 470.037 * * [simplify]: Extracting #2: cost 72 inf + 1 470.038 * * [simplify]: Extracting #3: cost 88 inf + 164 470.038 * * [simplify]: Extracting #4: cost 107 inf + 164 470.039 * * [simplify]: Extracting #5: cost 93 inf + 1906 470.041 * * [simplify]: Extracting #6: cost 46 inf + 17050 470.053 * * [simplify]: Extracting #7: cost 7 inf + 37639 470.069 * * [simplify]: Extracting #8: cost 0 inf + 42003 470.084 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 470.084 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 470.085 * * * * [progress]: [ 632 / 4148 ] simplifiying candidate # 470.086 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 470.086 * * [simplify]: iters left: 6 (23 enodes) 470.098 * * [simplify]: iters left: 5 (88 enodes) 470.127 * * [simplify]: iters left: 4 (152 enodes) 470.186 * * [simplify]: iters left: 3 (346 enodes) 470.316 * * [simplify]: Extracting #0: cost 1 inf + 0 470.316 * * [simplify]: Extracting #1: cost 83 inf + 0 470.317 * * [simplify]: Extracting #2: cost 175 inf + 1 470.319 * * [simplify]: Extracting #3: cost 190 inf + 84 470.320 * * [simplify]: Extracting #4: cost 208 inf + 126 470.324 * * [simplify]: Extracting #5: cost 174 inf + 10136 470.340 * * [simplify]: Extracting #6: cost 36 inf + 83802 470.364 * * [simplify]: Extracting #7: cost 0 inf + 106490 470.384 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) 470.384 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 470.385 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 470.385 * * [simplify]: iters left: 6 (20 enodes) 470.391 * * [simplify]: iters left: 5 (73 enodes) 470.403 * * [simplify]: iters left: 4 (116 enodes) 470.430 * * [simplify]: iters left: 3 (199 enodes) 470.478 * * [simplify]: iters left: 2 (295 enodes) 470.579 * * [simplify]: iters left: 1 (440 enodes) 470.745 * * [simplify]: Extracting #0: cost 1 inf + 0 470.745 * * [simplify]: Extracting #1: cost 40 inf + 0 470.745 * * [simplify]: Extracting #2: cost 72 inf + 1 470.746 * * [simplify]: Extracting #3: cost 88 inf + 84 470.746 * * [simplify]: Extracting #4: cost 107 inf + 84 470.747 * * [simplify]: Extracting #5: cost 93 inf + 1826 470.749 * * [simplify]: Extracting #6: cost 46 inf + 16330 470.758 * * [simplify]: Extracting #7: cost 7 inf + 36159 470.773 * * [simplify]: Extracting #8: cost 0 inf + 40403 470.789 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 470.789 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 470.790 * * * * [progress]: [ 633 / 4148 ] simplifiying candidate # 470.791 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 470.791 * * [simplify]: iters left: 6 (22 enodes) 470.805 * * [simplify]: iters left: 5 (83 enodes) 470.823 * * [simplify]: iters left: 4 (144 enodes) 470.854 * * [simplify]: iters left: 3 (304 enodes) 470.968 * * [simplify]: Extracting #0: cost 1 inf + 0 470.968 * * [simplify]: Extracting #1: cost 37 inf + 0 470.969 * * [simplify]: Extracting #2: cost 75 inf + 1 470.969 * * [simplify]: Extracting #3: cost 92 inf + 1 470.969 * * [simplify]: Extracting #4: cost 109 inf + 44 470.970 * * [simplify]: Extracting #5: cost 102 inf + 856 470.972 * * [simplify]: Extracting #6: cost 58 inf + 14417 470.978 * * [simplify]: Extracting #7: cost 10 inf + 39914 470.992 * * [simplify]: Extracting #8: cost 0 inf + 45623 471.009 * * [simplify]: Extracting #9: cost 0 inf + 45583 471.024 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 471.024 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 471.025 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 471.025 * * [simplify]: iters left: 6 (19 enodes) 471.034 * * [simplify]: iters left: 5 (70 enodes) 471.058 * * [simplify]: iters left: 4 (113 enodes) 471.095 * * [simplify]: iters left: 3 (196 enodes) 471.127 * * [simplify]: iters left: 2 (286 enodes) 471.229 * * [simplify]: iters left: 1 (422 enodes) 471.380 * * [simplify]: Extracting #0: cost 1 inf + 0 471.380 * * [simplify]: Extracting #1: cost 37 inf + 0 471.381 * * [simplify]: Extracting #2: cost 66 inf + 2 471.381 * * [simplify]: Extracting #3: cost 85 inf + 2 471.382 * * [simplify]: Extracting #4: cost 105 inf + 2 471.383 * * [simplify]: Extracting #5: cost 97 inf + 593 471.386 * * [simplify]: Extracting #6: cost 59 inf + 9228 471.395 * * [simplify]: Extracting #7: cost 12 inf + 29032 471.405 * * [simplify]: Extracting #8: cost 0 inf + 35991 471.412 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 471.412 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 471.412 * * * * [progress]: [ 634 / 4148 ] simplifiying candidate # 471.413 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 471.413 * * [simplify]: iters left: 6 (23 enodes) 471.420 * * [simplify]: iters left: 5 (88 enodes) 471.439 * * [simplify]: iters left: 4 (149 enodes) 471.490 * * [simplify]: iters left: 3 (313 enodes) 471.586 * * [simplify]: Extracting #0: cost 1 inf + 0 471.586 * * [simplify]: Extracting #1: cost 63 inf + 0 471.586 * * [simplify]: Extracting #2: cost 134 inf + 1 471.587 * * [simplify]: Extracting #3: cost 146 inf + 448 471.588 * * [simplify]: Extracting #4: cost 162 inf + 692 471.589 * * [simplify]: Extracting #5: cost 153 inf + 1747 471.590 * * [simplify]: Extracting #6: cost 122 inf + 9125 471.597 * * [simplify]: Extracting #7: cost 48 inf + 48511 471.625 * * [simplify]: Extracting #8: cost 0 inf + 78399 472.105 * * [simplify]: Extracting #9: cost 0 inf + 78359 472.120 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) 472.120 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 472.120 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 472.120 * * [simplify]: iters left: 6 (20 enodes) 472.127 * * [simplify]: iters left: 5 (73 enodes) 472.148 * * [simplify]: iters left: 4 (116 enodes) 472.186 * * [simplify]: iters left: 3 (199 enodes) 472.221 * * [simplify]: iters left: 2 (295 enodes) 472.284 * * [simplify]: iters left: 1 (440 enodes) 472.419 * * [simplify]: Extracting #0: cost 1 inf + 0 472.420 * * [simplify]: Extracting #1: cost 40 inf + 0 472.420 * * [simplify]: Extracting #2: cost 72 inf + 1 472.421 * * [simplify]: Extracting #3: cost 88 inf + 164 472.422 * * [simplify]: Extracting #4: cost 107 inf + 164 472.423 * * [simplify]: Extracting #5: cost 93 inf + 1906 472.427 * * [simplify]: Extracting #6: cost 46 inf + 16570 472.440 * * [simplify]: Extracting #7: cost 7 inf + 36199 472.456 * * [simplify]: Extracting #8: cost 0 inf + 40403 472.468 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 472.468 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 472.469 * * * * [progress]: [ 635 / 4148 ] simplifiying candidate # 472.469 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 472.469 * * [simplify]: iters left: 6 (22 enodes) 472.477 * * [simplify]: iters left: 5 (83 enodes) 472.490 * * [simplify]: iters left: 4 (136 enodes) 472.536 * * [simplify]: iters left: 3 (264 enodes) 472.605 * * [simplify]: iters left: 2 (453 enodes) 472.831 * * [simplify]: Extracting #0: cost 1 inf + 0 472.831 * * [simplify]: Extracting #1: cost 56 inf + 0 472.832 * * [simplify]: Extracting #2: cost 103 inf + 1 472.833 * * [simplify]: Extracting #3: cost 127 inf + 43 472.835 * * [simplify]: Extracting #4: cost 145 inf + 84 472.836 * * [simplify]: Extracting #5: cost 137 inf + 693 472.841 * * [simplify]: Extracting #6: cost 82 inf + 17742 472.862 * * [simplify]: Extracting #7: cost 14 inf + 52511 472.889 * * [simplify]: Extracting #8: cost 0 inf + 60531 472.917 * [simplify]: Simplified to (* (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 472.917 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 472.918 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 472.918 * * [simplify]: iters left: 6 (20 enodes) 472.933 * * [simplify]: iters left: 5 (73 enodes) 472.956 * * [simplify]: iters left: 4 (116 enodes) 472.993 * * [simplify]: iters left: 3 (199 enodes) 473.059 * * [simplify]: iters left: 2 (295 enodes) 473.136 * * [simplify]: iters left: 1 (440 enodes) 473.284 * * [simplify]: Extracting #0: cost 1 inf + 0 473.284 * * [simplify]: Extracting #1: cost 40 inf + 0 473.285 * * [simplify]: Extracting #2: cost 72 inf + 1 473.286 * * [simplify]: Extracting #3: cost 88 inf + 84 473.286 * * [simplify]: Extracting #4: cost 107 inf + 84 473.288 * * [simplify]: Extracting #5: cost 93 inf + 1826 473.292 * * [simplify]: Extracting #6: cost 46 inf + 15850 473.308 * * [simplify]: Extracting #7: cost 7 inf + 34719 473.324 * * [simplify]: Extracting #8: cost 0 inf + 38803 473.339 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 473.339 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 473.340 * * * * [progress]: [ 636 / 4148 ] simplifiying candidate # 473.340 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 473.340 * * [simplify]: iters left: 6 (21 enodes) 473.353 * * [simplify]: iters left: 5 (78 enodes) 473.378 * * [simplify]: iters left: 4 (121 enodes) 473.417 * * [simplify]: iters left: 3 (212 enodes) 473.491 * * [simplify]: iters left: 2 (300 enodes) 473.564 * * [simplify]: iters left: 1 (433 enodes) 473.724 * * [simplify]: Extracting #0: cost 1 inf + 0 473.724 * * [simplify]: Extracting #1: cost 24 inf + 0 473.724 * * [simplify]: Extracting #2: cost 45 inf + 1 473.725 * * [simplify]: Extracting #3: cost 65 inf + 1 473.725 * * [simplify]: Extracting #4: cost 84 inf + 2 473.725 * * [simplify]: Extracting #5: cost 74 inf + 1116 473.728 * * [simplify]: Extracting #6: cost 22 inf + 17035 473.734 * * [simplify]: Extracting #7: cost 1 inf + 26872 473.741 * * [simplify]: Extracting #8: cost 0 inf + 27495 473.747 * [simplify]: Simplified to (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))))) 473.747 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 473.748 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 473.748 * * [simplify]: iters left: 6 (19 enodes) 473.757 * * [simplify]: iters left: 5 (70 enodes) 473.779 * * [simplify]: iters left: 4 (113 enodes) 473.820 * * [simplify]: iters left: 3 (196 enodes) 473.883 * * [simplify]: iters left: 2 (286 enodes) 473.966 * * [simplify]: iters left: 1 (422 enodes) 474.079 * * [simplify]: Extracting #0: cost 1 inf + 0 474.079 * * [simplify]: Extracting #1: cost 37 inf + 0 474.079 * * [simplify]: Extracting #2: cost 66 inf + 2 474.080 * * [simplify]: Extracting #3: cost 85 inf + 2 474.081 * * [simplify]: Extracting #4: cost 105 inf + 2 474.082 * * [simplify]: Extracting #5: cost 97 inf + 593 474.084 * * [simplify]: Extracting #6: cost 59 inf + 8988 474.092 * * [simplify]: Extracting #7: cost 12 inf + 27752 474.101 * * [simplify]: Extracting #8: cost 0 inf + 34431 474.108 * [simplify]: Simplified to (/ (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 474.108 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 474.109 * * * * [progress]: [ 637 / 4148 ] simplifiying candidate # 474.109 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) 474.109 * * [simplify]: iters left: 6 (22 enodes) 474.116 * * [simplify]: iters left: 5 (85 enodes) 474.143 * * [simplify]: iters left: 4 (142 enodes) 474.174 * * [simplify]: iters left: 3 (293 enodes) 474.258 * * [simplify]: Extracting #0: cost 1 inf + 0 474.258 * * [simplify]: Extracting #1: cost 69 inf + 0 474.259 * * [simplify]: Extracting #2: cost 155 inf + 1 474.259 * * [simplify]: Extracting #3: cost 169 inf + 164 474.260 * * [simplify]: Extracting #4: cost 177 inf + 1503 474.262 * * [simplify]: Extracting #5: cost 141 inf + 11103 474.272 * * [simplify]: Extracting #6: cost 29 inf + 67738 474.293 * * [simplify]: Extracting #7: cost 0 inf + 83674 474.308 * * [simplify]: Extracting #8: cost 0 inf + 83634 474.331 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 474.331 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 474.332 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 474.332 * * [simplify]: iters left: 6 (19 enodes) 474.341 * * [simplify]: iters left: 5 (70 enodes) 474.359 * * [simplify]: iters left: 4 (116 enodes) 474.380 * * [simplify]: iters left: 3 (196 enodes) 474.439 * * [simplify]: iters left: 2 (272 enodes) 474.505 * * [simplify]: iters left: 1 (373 enodes) 474.613 * * [simplify]: Extracting #0: cost 1 inf + 0 474.613 * * [simplify]: Extracting #1: cost 29 inf + 0 474.613 * * [simplify]: Extracting #2: cost 50 inf + 1 474.614 * * [simplify]: Extracting #3: cost 66 inf + 164 474.614 * * [simplify]: Extracting #4: cost 86 inf + 164 474.615 * * [simplify]: Extracting #5: cost 74 inf + 2003 474.617 * * [simplify]: Extracting #6: cost 29 inf + 16366 474.622 * * [simplify]: Extracting #7: cost 1 inf + 28300 474.627 * * [simplify]: Extracting #8: cost 0 inf + 28964 474.633 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 474.633 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 474.633 * * * * [progress]: [ 638 / 4148 ] simplifiying candidate # 474.633 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 (sqrt a1))) 474.633 * * [simplify]: iters left: 6 (21 enodes) 474.641 * * [simplify]: iters left: 5 (80 enodes) 474.668 * * [simplify]: iters left: 4 (129 enodes) 474.691 * * [simplify]: iters left: 3 (242 enodes) 474.770 * * [simplify]: iters left: 2 (401 enodes) 474.961 * * [simplify]: Extracting #0: cost 1 inf + 0 474.961 * * [simplify]: Extracting #1: cost 29 inf + 0 474.961 * * [simplify]: Extracting #2: cost 53 inf + 1 474.962 * * [simplify]: Extracting #3: cost 76 inf + 84 474.963 * * [simplify]: Extracting #4: cost 93 inf + 248 474.964 * * [simplify]: Extracting #5: cost 84 inf + 838 474.970 * * [simplify]: Extracting #6: cost 28 inf + 18323 474.984 * * [simplify]: Extracting #7: cost 0 inf + 31185 475.000 * [simplify]: Simplified to (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 475.000 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 475.000 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 475.001 * * [simplify]: iters left: 6 (19 enodes) 475.011 * * [simplify]: iters left: 5 (70 enodes) 475.035 * * [simplify]: iters left: 4 (116 enodes) 475.076 * * [simplify]: iters left: 3 (196 enodes) 475.118 * * [simplify]: iters left: 2 (272 enodes) 475.185 * * [simplify]: iters left: 1 (373 enodes) 475.338 * * [simplify]: Extracting #0: cost 1 inf + 0 475.338 * * [simplify]: Extracting #1: cost 29 inf + 0 475.338 * * [simplify]: Extracting #2: cost 50 inf + 1 475.339 * * [simplify]: Extracting #3: cost 66 inf + 84 475.339 * * [simplify]: Extracting #4: cost 86 inf + 84 475.340 * * [simplify]: Extracting #5: cost 74 inf + 1843 475.342 * * [simplify]: Extracting #6: cost 29 inf + 15766 475.348 * * [simplify]: Extracting #7: cost 1 inf + 27180 475.360 * * [simplify]: Extracting #8: cost 0 inf + 27804 475.366 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 475.366 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 (sqrt a1))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 475.366 * * * * [progress]: [ 639 / 4148 ] simplifiying candidate # 475.367 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 1)) 475.367 * * [simplify]: iters left: 6 (20 enodes) 475.374 * * [simplify]: iters left: 5 (73 enodes) 475.386 * * [simplify]: iters left: 4 (110 enodes) 475.417 * * [simplify]: iters left: 3 (181 enodes) 475.481 * * [simplify]: iters left: 2 (256 enodes) 475.568 * * [simplify]: iters left: 1 (339 enodes) 475.691 * * [simplify]: Extracting #0: cost 1 inf + 0 475.691 * * [simplify]: Extracting #1: cost 12 inf + 0 475.691 * * [simplify]: Extracting #2: cost 22 inf + 1 475.691 * * [simplify]: Extracting #3: cost 42 inf + 1 475.692 * * [simplify]: Extracting #4: cost 60 inf + 2 475.692 * * [simplify]: Extracting #5: cost 48 inf + 1317 475.693 * * [simplify]: Extracting #6: cost 13 inf + 10822 475.697 * * [simplify]: Extracting #7: cost 0 inf + 15818 475.702 * [simplify]: Simplified to (* (/ (cbrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2))))) 475.702 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (/ a1 (cbrt (sqrt 2))) (cos th)) (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 475.702 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 475.702 * * [simplify]: iters left: 6 (18 enodes) 475.708 * * [simplify]: iters left: 5 (67 enodes) 475.721 * * [simplify]: iters left: 4 (113 enodes) 475.741 * * [simplify]: iters left: 3 (189 enodes) 475.784 * * [simplify]: iters left: 2 (260 enodes) 475.869 * * [simplify]: iters left: 1 (360 enodes) 476.009 * * [simplify]: Extracting #0: cost 1 inf + 0 476.009 * * [simplify]: Extracting #1: cost 31 inf + 0 476.009 * * [simplify]: Extracting #2: cost 48 inf + 2 476.009 * * [simplify]: Extracting #3: cost 67 inf + 2 476.010 * * [simplify]: Extracting #4: cost 86 inf + 2 476.010 * * [simplify]: Extracting #5: cost 72 inf + 1900 476.012 * * [simplify]: Extracting #6: cost 38 inf + 9612 476.015 * * [simplify]: Extracting #7: cost 15 inf + 18796 476.020 * * [simplify]: Extracting #8: cost 0 inf + 26504 476.026 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 476.026 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (/ 1 1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 476.026 * * * * [progress]: [ 640 / 4148 ] simplifiying candidate # 476.026 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 1) 476.026 * * [simplify]: iters left: 6 (19 enodes) 476.033 * * [simplify]: iters left: 5 (70 enodes) 476.057 * * [simplify]: iters left: 4 (109 enodes) 476.086 * * [simplify]: iters left: 3 (184 enodes) 476.131 * * [simplify]: iters left: 2 (258 enodes) 476.212 * * [simplify]: iters left: 1 (340 enodes) 476.341 * * [simplify]: Extracting #0: cost 1 inf + 0 476.342 * * [simplify]: Extracting #1: cost 12 inf + 0 476.342 * * [simplify]: Extracting #2: cost 22 inf + 1 476.342 * * [simplify]: Extracting #3: cost 42 inf + 1 476.343 * * [simplify]: Extracting #4: cost 60 inf + 2 476.343 * * [simplify]: Extracting #5: cost 52 inf + 751 476.346 * * [simplify]: Extracting #6: cost 13 inf + 11462 476.354 * * [simplify]: Extracting #7: cost 0 inf + 15818 476.362 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 476.362 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 476.363 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 476.363 * * [simplify]: iters left: 6 (18 enodes) 476.374 * * [simplify]: iters left: 5 (67 enodes) 476.401 * * [simplify]: iters left: 4 (113 enodes) 476.438 * * [simplify]: iters left: 3 (189 enodes) 476.498 * * [simplify]: iters left: 2 (260 enodes) 476.599 * * [simplify]: iters left: 1 (360 enodes) 476.779 * * [simplify]: Extracting #0: cost 1 inf + 0 476.779 * * [simplify]: Extracting #1: cost 31 inf + 0 476.780 * * [simplify]: Extracting #2: cost 48 inf + 2 476.780 * * [simplify]: Extracting #3: cost 67 inf + 2 476.781 * * [simplify]: Extracting #4: cost 86 inf + 2 476.782 * * [simplify]: Extracting #5: cost 72 inf + 1900 476.785 * * [simplify]: Extracting #6: cost 38 inf + 9612 476.792 * * [simplify]: Extracting #7: cost 15 inf + 18796 476.803 * * [simplify]: Extracting #8: cost 0 inf + 26504 476.813 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 476.813 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) 1) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 476.814 * * * * [progress]: [ 641 / 4148 ] simplifiying candidate # 476.814 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (cbrt (cbrt (sqrt 2)))) 476.814 * * [simplify]: iters left: 6 (19 enodes) 476.826 * * [simplify]: iters left: 5 (72 enodes) 476.842 * * [simplify]: iters left: 4 (117 enodes) 476.860 * * [simplify]: iters left: 3 (200 enodes) 476.912 * * [simplify]: iters left: 2 (276 enodes) 476.989 * * [simplify]: iters left: 1 (357 enodes) 477.086 * * [simplify]: Extracting #0: cost 1 inf + 0 477.086 * * [simplify]: Extracting #1: cost 23 inf + 0 477.086 * * [simplify]: Extracting #2: cost 36 inf + 1 477.087 * * [simplify]: Extracting #3: cost 56 inf + 1 477.087 * * [simplify]: Extracting #4: cost 74 inf + 2 477.087 * * [simplify]: Extracting #5: cost 65 inf + 894 477.089 * * [simplify]: Extracting #6: cost 16 inf + 16851 477.095 * * [simplify]: Extracting #7: cost 0 inf + 22932 477.105 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 477.105 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 477.106 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt 1))) (/ 1 a1)) 477.106 * * [simplify]: iters left: 6 (18 enodes) 477.116 * * [simplify]: iters left: 5 (67 enodes) 477.138 * * [simplify]: iters left: 4 (106 enodes) 477.173 * * [simplify]: iters left: 3 (178 enodes) 477.212 * * [simplify]: iters left: 2 (253 enodes) 477.317 * * [simplify]: iters left: 1 (369 enodes) 477.500 * * [simplify]: Extracting #0: cost 1 inf + 0 477.500 * * [simplify]: Extracting #1: cost 21 inf + 0 477.500 * * [simplify]: Extracting #2: cost 30 inf + 128 477.501 * * [simplify]: Extracting #3: cost 48 inf + 170 477.501 * * [simplify]: Extracting #4: cost 67 inf + 170 477.501 * * [simplify]: Extracting #5: cost 64 inf + 233 477.502 * * [simplify]: Extracting #6: cost 47 inf + 2999 477.505 * * [simplify]: Extracting #7: cost 15 inf + 12620 477.510 * * [simplify]: Extracting #8: cost 0 inf + 18203 477.520 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (cbrt (sqrt 2))))) 477.520 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (* (cbrt 1) (cbrt 1)))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 477.521 * * * * [progress]: [ 642 / 4148 ] simplifiying candidate # 477.521 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 477.521 * * [simplify]: iters left: 6 (21 enodes) 477.533 * * [simplify]: iters left: 5 (78 enodes) 477.558 * * [simplify]: iters left: 4 (133 enodes) 477.589 * * [simplify]: iters left: 3 (261 enodes) 477.659 * * [simplify]: iters left: 2 (427 enodes) 477.848 * * [simplify]: Extracting #0: cost 1 inf + 0 477.848 * * [simplify]: Extracting #1: cost 42 inf + 0 477.849 * * [simplify]: Extracting #2: cost 75 inf + 1 477.849 * * [simplify]: Extracting #3: cost 103 inf + 1 477.850 * * [simplify]: Extracting #4: cost 121 inf + 2 477.850 * * [simplify]: Extracting #5: cost 112 inf + 1036 477.853 * * [simplify]: Extracting #6: cost 54 inf + 20755 477.864 * * [simplify]: Extracting #7: cost 10 inf + 43497 477.876 * * [simplify]: Extracting #8: cost 0 inf + 49626 477.888 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 477.888 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 477.889 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 477.889 * * [simplify]: iters left: 6 (19 enodes) 477.895 * * [simplify]: iters left: 5 (68 enodes) 477.907 * * [simplify]: iters left: 4 (103 enodes) 477.927 * * [simplify]: iters left: 3 (161 enodes) 477.954 * * [simplify]: iters left: 2 (221 enodes) 477.997 * * [simplify]: iters left: 1 (291 enodes) 478.093 * * [simplify]: Extracting #0: cost 1 inf + 0 478.093 * * [simplify]: Extracting #1: cost 12 inf + 0 478.093 * * [simplify]: Extracting #2: cost 24 inf + 1 478.093 * * [simplify]: Extracting #3: cost 45 inf + 1 478.094 * * [simplify]: Extracting #4: cost 64 inf + 2 478.094 * * [simplify]: Extracting #5: cost 50 inf + 1862 478.097 * * [simplify]: Extracting #6: cost 15 inf + 10461 478.103 * * [simplify]: Extracting #7: cost 2 inf + 15914 478.110 * * [simplify]: Extracting #8: cost 0 inf + 16899 478.116 * [simplify]: Simplified to (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 478.116 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 478.116 * * * * [progress]: [ 643 / 4148 ] simplifiying candidate # 478.117 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 478.117 * * [simplify]: iters left: 6 (20 enodes) 478.129 * * [simplify]: iters left: 5 (73 enodes) 478.153 * * [simplify]: iters left: 4 (118 enodes) 478.190 * * [simplify]: iters left: 3 (205 enodes) 478.230 * * [simplify]: iters left: 2 (289 enodes) 478.302 * * [simplify]: iters left: 1 (388 enodes) 478.474 * * [simplify]: Extracting #0: cost 1 inf + 0 478.474 * * [simplify]: Extracting #1: cost 29 inf + 0 478.475 * * [simplify]: Extracting #2: cost 49 inf + 1 478.475 * * [simplify]: Extracting #3: cost 70 inf + 1 478.475 * * [simplify]: Extracting #4: cost 89 inf + 2 478.476 * * [simplify]: Extracting #5: cost 76 inf + 1779 478.478 * * [simplify]: Extracting #6: cost 47 inf + 7818 478.481 * * [simplify]: Extracting #7: cost 17 inf + 21448 478.489 * * [simplify]: Extracting #8: cost 1 inf + 30538 478.496 * * [simplify]: Extracting #9: cost 0 inf + 31161 478.506 * [simplify]: Simplified to (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 478.506 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 478.507 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 478.507 * * [simplify]: iters left: 6 (19 enodes) 478.518 * * [simplify]: iters left: 5 (68 enodes) 478.540 * * [simplify]: iters left: 4 (103 enodes) 478.572 * * [simplify]: iters left: 3 (161 enodes) 478.598 * * [simplify]: iters left: 2 (221 enodes) 478.654 * * [simplify]: iters left: 1 (291 enodes) 478.777 * * [simplify]: Extracting #0: cost 1 inf + 0 478.777 * * [simplify]: Extracting #1: cost 12 inf + 0 478.777 * * [simplify]: Extracting #2: cost 24 inf + 1 478.778 * * [simplify]: Extracting #3: cost 45 inf + 1 478.778 * * [simplify]: Extracting #4: cost 64 inf + 2 478.778 * * [simplify]: Extracting #5: cost 50 inf + 1862 478.780 * * [simplify]: Extracting #6: cost 15 inf + 10421 478.782 * * [simplify]: Extracting #7: cost 2 inf + 15514 478.785 * * [simplify]: Extracting #8: cost 0 inf + 16419 478.789 * [simplify]: Simplified to (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 478.789 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 478.789 * * * * [progress]: [ 644 / 4148 ] simplifiying candidate # 478.789 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 478.789 * * [simplify]: iters left: 6 (23 enodes) 478.795 * * [simplify]: iters left: 5 (86 enodes) 478.810 * * [simplify]: iters left: 4 (149 enodes) 478.863 * * [simplify]: iters left: 3 (313 enodes) 478.988 * * [simplify]: Extracting #0: cost 1 inf + 0 478.988 * * [simplify]: Extracting #1: cost 63 inf + 0 478.989 * * [simplify]: Extracting #2: cost 136 inf + 1 478.989 * * [simplify]: Extracting #3: cost 149 inf + 529 478.990 * * [simplify]: Extracting #4: cost 166 inf + 692 478.991 * * [simplify]: Extracting #5: cost 159 inf + 1545 478.995 * * [simplify]: Extracting #6: cost 89 inf + 32110 479.009 * * [simplify]: Extracting #7: cost 10 inf + 80476 479.027 * * [simplify]: Extracting #8: cost 0 inf + 87767 479.044 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 479.044 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 479.044 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 479.045 * * [simplify]: iters left: 6 (20 enodes) 479.056 * * [simplify]: iters left: 5 (73 enodes) 479.074 * * [simplify]: iters left: 4 (116 enodes) 479.095 * * [simplify]: iters left: 3 (199 enodes) 479.154 * * [simplify]: iters left: 2 (295 enodes) 479.272 * * [simplify]: iters left: 1 (440 enodes) 479.404 * * [simplify]: Extracting #0: cost 1 inf + 0 479.404 * * [simplify]: Extracting #1: cost 40 inf + 0 479.405 * * [simplify]: Extracting #2: cost 72 inf + 1 479.406 * * [simplify]: Extracting #3: cost 88 inf + 164 479.406 * * [simplify]: Extracting #4: cost 107 inf + 164 479.407 * * [simplify]: Extracting #5: cost 93 inf + 1906 479.411 * * [simplify]: Extracting #6: cost 46 inf + 17050 479.424 * * [simplify]: Extracting #7: cost 7 inf + 37639 479.443 * * [simplify]: Extracting #8: cost 0 inf + 42003 479.452 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 479.452 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 479.452 * * * * [progress]: [ 645 / 4148 ] simplifiying candidate # 479.453 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 479.453 * * [simplify]: iters left: 6 (22 enodes) 479.459 * * [simplify]: iters left: 5 (81 enodes) 479.473 * * [simplify]: iters left: 4 (136 enodes) 479.501 * * [simplify]: iters left: 3 (264 enodes) 479.603 * * [simplify]: iters left: 2 (455 enodes) 479.793 * * [simplify]: Extracting #0: cost 1 inf + 0 479.793 * * [simplify]: Extracting #1: cost 56 inf + 0 479.794 * * [simplify]: Extracting #2: cost 104 inf + 1 479.795 * * [simplify]: Extracting #3: cost 128 inf + 84 479.796 * * [simplify]: Extracting #4: cost 147 inf + 84 479.798 * * [simplify]: Extracting #5: cost 138 inf + 715 479.806 * * [simplify]: Extracting #6: cost 65 inf + 28832 479.833 * * [simplify]: Extracting #7: cost 5 inf + 63179 479.864 * * [simplify]: Extracting #8: cost 0 inf + 65973 479.895 * [simplify]: Simplified to (/ (/ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 479.895 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 479.896 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 479.896 * * [simplify]: iters left: 6 (20 enodes) 479.907 * * [simplify]: iters left: 5 (73 enodes) 479.932 * * [simplify]: iters left: 4 (116 enodes) 479.972 * * [simplify]: iters left: 3 (199 enodes) 480.010 * * [simplify]: iters left: 2 (295 enodes) 480.103 * * [simplify]: iters left: 1 (440 enodes) 480.242 * * [simplify]: Extracting #0: cost 1 inf + 0 480.242 * * [simplify]: Extracting #1: cost 40 inf + 0 480.243 * * [simplify]: Extracting #2: cost 72 inf + 1 480.243 * * [simplify]: Extracting #3: cost 88 inf + 84 480.243 * * [simplify]: Extracting #4: cost 107 inf + 84 480.244 * * [simplify]: Extracting #5: cost 93 inf + 1826 480.246 * * [simplify]: Extracting #6: cost 46 inf + 16330 480.256 * * [simplify]: Extracting #7: cost 7 inf + 36159 480.271 * * [simplify]: Extracting #8: cost 0 inf + 40403 480.287 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 480.287 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 480.287 * * * * [progress]: [ 646 / 4148 ] simplifiying candidate # 480.288 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 480.288 * * [simplify]: iters left: 6 (21 enodes) 480.299 * * [simplify]: iters left: 5 (76 enodes) 480.327 * * [simplify]: iters left: 4 (121 enodes) 480.347 * * [simplify]: iters left: 3 (212 enodes) 480.405 * * [simplify]: iters left: 2 (300 enodes) 480.497 * * [simplify]: iters left: 1 (421 enodes) 480.631 * * [simplify]: Extracting #0: cost 1 inf + 0 480.631 * * [simplify]: Extracting #1: cost 21 inf + 0 480.632 * * [simplify]: Extracting #2: cost 43 inf + 1 480.632 * * [simplify]: Extracting #3: cost 64 inf + 1 480.632 * * [simplify]: Extracting #4: cost 83 inf + 2 480.633 * * [simplify]: Extracting #5: cost 72 inf + 1315 480.635 * * [simplify]: Extracting #6: cost 20 inf + 18171 480.646 * * [simplify]: Extracting #7: cost 0 inf + 28586 480.663 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 480.664 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 480.664 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 480.664 * * [simplify]: iters left: 6 (19 enodes) 480.675 * * [simplify]: iters left: 5 (70 enodes) 480.693 * * [simplify]: iters left: 4 (113 enodes) 480.711 * * [simplify]: iters left: 3 (196 enodes) 480.745 * * [simplify]: iters left: 2 (286 enodes) 480.830 * * [simplify]: iters left: 1 (422 enodes) 481.035 * * [simplify]: Extracting #0: cost 1 inf + 0 481.035 * * [simplify]: Extracting #1: cost 37 inf + 0 481.036 * * [simplify]: Extracting #2: cost 66 inf + 2 481.036 * * [simplify]: Extracting #3: cost 85 inf + 2 481.036 * * [simplify]: Extracting #4: cost 105 inf + 2 481.037 * * [simplify]: Extracting #5: cost 97 inf + 593 481.038 * * [simplify]: Extracting #6: cost 59 inf + 9228 481.043 * * [simplify]: Extracting #7: cost 12 inf + 29032 481.052 * * [simplify]: Extracting #8: cost 0 inf + 35991 481.060 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 481.060 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 481.061 * * * * [progress]: [ 647 / 4148 ] simplifiying candidate # 481.061 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 481.062 * * [simplify]: iters left: 6 (26 enodes) 481.076 * * [simplify]: iters left: 5 (96 enodes) 481.108 * * [simplify]: iters left: 4 (159 enodes) 481.165 * * [simplify]: iters left: 3 (323 enodes) 481.278 * * [simplify]: Extracting #0: cost 1 inf + 0 481.278 * * [simplify]: Extracting #1: cost 63 inf + 0 481.279 * * [simplify]: Extracting #2: cost 136 inf + 1 481.280 * * [simplify]: Extracting #3: cost 153 inf + 83 481.285 * * [simplify]: Extracting #4: cost 169 inf + 571 481.286 * * [simplify]: Extracting #5: cost 161 inf + 1647 481.292 * * [simplify]: Extracting #6: cost 110 inf + 19347 481.302 * * [simplify]: Extracting #7: cost 65 inf + 41281 481.315 * * [simplify]: Extracting #8: cost 10 inf + 84077 481.332 * * [simplify]: Extracting #9: cost 0 inf + 92127 481.353 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (fabs (cbrt 2)))))) 481.353 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 481.353 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 481.354 * * [simplify]: iters left: 6 (23 enodes) 481.366 * * [simplify]: iters left: 5 (82 enodes) 481.384 * * [simplify]: iters left: 4 (125 enodes) 481.412 * * [simplify]: iters left: 3 (208 enodes) 481.480 * * [simplify]: iters left: 2 (304 enodes) 481.578 * * [simplify]: iters left: 1 (444 enodes) 481.750 * * [simplify]: Extracting #0: cost 1 inf + 0 481.750 * * [simplify]: Extracting #1: cost 40 inf + 0 481.751 * * [simplify]: Extracting #2: cost 72 inf + 1 481.751 * * [simplify]: Extracting #3: cost 91 inf + 83 481.751 * * [simplify]: Extracting #4: cost 112 inf + 164 481.752 * * [simplify]: Extracting #5: cost 104 inf + 815 481.753 * * [simplify]: Extracting #6: cost 74 inf + 7196 481.756 * * [simplify]: Extracting #7: cost 45 inf + 17388 481.760 * * [simplify]: Extracting #8: cost 33 inf + 24539 481.768 * * [simplify]: Extracting #9: cost 4 inf + 44219 481.783 * * [simplify]: Extracting #10: cost 0 inf + 47148 481.802 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) 481.802 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 481.803 * * * * [progress]: [ 648 / 4148 ] simplifiying candidate # 481.803 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 481.803 * * [simplify]: iters left: 6 (25 enodes) 481.817 * * [simplify]: iters left: 5 (91 enodes) 481.847 * * [simplify]: iters left: 4 (146 enodes) 481.896 * * [simplify]: iters left: 3 (274 enodes) 481.986 * * [simplify]: iters left: 2 (462 enodes) 482.166 * * [simplify]: Extracting #0: cost 1 inf + 0 482.167 * * [simplify]: Extracting #1: cost 56 inf + 0 482.167 * * [simplify]: Extracting #2: cost 104 inf + 1 482.168 * * [simplify]: Extracting #3: cost 129 inf + 84 482.170 * * [simplify]: Extracting #4: cost 151 inf + 84 482.171 * * [simplify]: Extracting #5: cost 144 inf + 876 482.176 * * [simplify]: Extracting #6: cost 88 inf + 16563 482.188 * * [simplify]: Extracting #7: cost 49 inf + 35422 482.215 * * [simplify]: Extracting #8: cost 3 inf + 69390 482.246 * * [simplify]: Extracting #9: cost 0 inf + 72099 482.275 * [simplify]: Simplified to (* (/ (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2))))) (sqrt a1)) 482.275 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 482.276 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 482.276 * * [simplify]: iters left: 6 (23 enodes) 482.289 * * [simplify]: iters left: 5 (82 enodes) 482.305 * * [simplify]: iters left: 4 (125 enodes) 482.329 * * [simplify]: iters left: 3 (208 enodes) 482.378 * * [simplify]: iters left: 2 (304 enodes) 482.464 * * [simplify]: iters left: 1 (444 enodes) 482.650 * * [simplify]: Extracting #0: cost 1 inf + 0 482.650 * * [simplify]: Extracting #1: cost 40 inf + 0 482.650 * * [simplify]: Extracting #2: cost 72 inf + 1 482.651 * * [simplify]: Extracting #3: cost 91 inf + 43 482.652 * * [simplify]: Extracting #4: cost 112 inf + 84 482.653 * * [simplify]: Extracting #5: cost 104 inf + 735 482.655 * * [simplify]: Extracting #6: cost 74 inf + 7036 482.661 * * [simplify]: Extracting #7: cost 45 inf + 16908 482.669 * * [simplify]: Extracting #8: cost 33 inf + 23659 482.681 * * [simplify]: Extracting #9: cost 4 inf + 42739 482.695 * * [simplify]: Extracting #10: cost 0 inf + 45588 482.707 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) 482.707 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 482.707 * * * * [progress]: [ 649 / 4148 ] simplifiying candidate # 482.707 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 482.707 * * [simplify]: iters left: 6 (24 enodes) 482.715 * * [simplify]: iters left: 5 (86 enodes) 482.730 * * [simplify]: iters left: 4 (131 enodes) 482.758 * * [simplify]: iters left: 3 (222 enodes) 482.798 * * [simplify]: iters left: 2 (312 enodes) 482.874 * * [simplify]: iters left: 1 (433 enodes) 483.029 * * [simplify]: Extracting #0: cost 1 inf + 0 483.030 * * [simplify]: Extracting #1: cost 24 inf + 0 483.030 * * [simplify]: Extracting #2: cost 46 inf + 1 483.030 * * [simplify]: Extracting #3: cost 68 inf + 1 483.031 * * [simplify]: Extracting #4: cost 89 inf + 2 483.032 * * [simplify]: Extracting #5: cost 77 inf + 1721 483.036 * * [simplify]: Extracting #6: cost 29 inf + 15106 483.047 * * [simplify]: Extracting #7: cost 5 inf + 29229 483.059 * * [simplify]: Extracting #8: cost 0 inf + 32661 483.066 * [simplify]: Simplified to (/ (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) 483.066 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 483.067 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 483.067 * * [simplify]: iters left: 6 (22 enodes) 483.073 * * [simplify]: iters left: 5 (79 enodes) 483.087 * * [simplify]: iters left: 4 (122 enodes) 483.110 * * [simplify]: iters left: 3 (205 enodes) 483.177 * * [simplify]: iters left: 2 (295 enodes) 483.274 * * [simplify]: iters left: 1 (425 enodes) 483.453 * * [simplify]: Extracting #0: cost 1 inf + 0 483.453 * * [simplify]: Extracting #1: cost 43 inf + 0 483.453 * * [simplify]: Extracting #2: cost 73 inf + 2 483.454 * * [simplify]: Extracting #3: cost 94 inf + 2 483.455 * * [simplify]: Extracting #4: cost 115 inf + 2 483.456 * * [simplify]: Extracting #5: cost 106 inf + 815 483.459 * * [simplify]: Extracting #6: cost 65 inf + 11108 483.465 * * [simplify]: Extracting #7: cost 44 inf + 18459 483.474 * * [simplify]: Extracting #8: cost 30 inf + 26636 483.490 * * [simplify]: Extracting #9: cost 0 inf + 44696 483.506 * [simplify]: Simplified to (/ (* a1 (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2))))) 483.506 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (* a1 (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 483.507 * * * * [progress]: [ 650 / 4148 ] simplifiying candidate # 483.507 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 483.507 * * [simplify]: iters left: 6 (24 enodes) 483.520 * * [simplify]: iters left: 5 (89 enodes) 483.541 * * [simplify]: iters left: 4 (152 enodes) 483.580 * * [simplify]: iters left: 3 (316 enodes) 483.676 * * [simplify]: Extracting #0: cost 1 inf + 0 483.676 * * [simplify]: Extracting #1: cost 63 inf + 0 483.677 * * [simplify]: Extracting #2: cost 136 inf + 1 483.677 * * [simplify]: Extracting #3: cost 152 inf + 205 483.678 * * [simplify]: Extracting #4: cost 167 inf + 692 483.679 * * [simplify]: Extracting #5: cost 158 inf + 1827 483.681 * * [simplify]: Extracting #6: cost 114 inf + 14805 483.694 * * [simplify]: Extracting #7: cost 49 inf + 51284 483.710 * * [simplify]: Extracting #8: cost 4 inf + 83734 483.732 * * [simplify]: Extracting #9: cost 0 inf + 86706 483.764 * [simplify]: Simplified to (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))) 483.764 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 483.765 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 483.765 * * [simplify]: iters left: 6 (22 enodes) 483.776 * * [simplify]: iters left: 5 (79 enodes) 483.801 * * [simplify]: iters left: 4 (122 enodes) 483.829 * * [simplify]: iters left: 3 (205 enodes) 483.890 * * [simplify]: iters left: 2 (303 enodes) 483.992 * * [simplify]: iters left: 1 (436 enodes) 484.159 * * [simplify]: Extracting #0: cost 1 inf + 0 484.159 * * [simplify]: Extracting #1: cost 32 inf + 0 484.159 * * [simplify]: Extracting #2: cost 64 inf + 1 484.159 * * [simplify]: Extracting #3: cost 82 inf + 164 484.160 * * [simplify]: Extracting #4: cost 103 inf + 164 484.160 * * [simplify]: Extracting #5: cost 93 inf + 1018 484.162 * * [simplify]: Extracting #6: cost 64 inf + 7275 484.165 * * [simplify]: Extracting #7: cost 32 inf + 20354 484.171 * * [simplify]: Extracting #8: cost 5 inf + 35947 484.181 * * [simplify]: Extracting #9: cost 0 inf + 38918 484.196 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 484.196 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 484.196 * * * * [progress]: [ 651 / 4148 ] simplifiying candidate # 484.197 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 484.197 * * [simplify]: iters left: 6 (23 enodes) 484.209 * * [simplify]: iters left: 5 (84 enodes) 484.238 * * [simplify]: iters left: 4 (139 enodes) 484.278 * * [simplify]: iters left: 3 (267 enodes) 484.342 * * [simplify]: iters left: 2 (456 enodes) 484.592 * * [simplify]: Extracting #0: cost 1 inf + 0 484.593 * * [simplify]: Extracting #1: cost 56 inf + 0 484.593 * * [simplify]: Extracting #2: cost 105 inf + 1 484.594 * * [simplify]: Extracting #3: cost 131 inf + 43 484.596 * * [simplify]: Extracting #4: cost 150 inf + 84 484.597 * * [simplify]: Extracting #5: cost 134 inf + 2150 484.603 * * [simplify]: Extracting #6: cost 85 inf + 17387 484.617 * * [simplify]: Extracting #7: cost 42 inf + 39337 484.637 * * [simplify]: Extracting #8: cost 2 inf + 66192 484.652 * * [simplify]: Extracting #9: cost 0 inf + 67678 484.680 * [simplify]: Simplified to (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 484.680 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 484.681 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 484.681 * * [simplify]: iters left: 6 (22 enodes) 484.689 * * [simplify]: iters left: 5 (79 enodes) 484.702 * * [simplify]: iters left: 4 (122 enodes) 484.725 * * [simplify]: iters left: 3 (205 enodes) 484.780 * * [simplify]: iters left: 2 (303 enodes) 484.856 * * [simplify]: iters left: 1 (436 enodes) 484.970 * * [simplify]: Extracting #0: cost 1 inf + 0 484.970 * * [simplify]: Extracting #1: cost 32 inf + 0 484.971 * * [simplify]: Extracting #2: cost 64 inf + 1 484.971 * * [simplify]: Extracting #3: cost 82 inf + 84 484.972 * * [simplify]: Extracting #4: cost 103 inf + 84 484.973 * * [simplify]: Extracting #5: cost 93 inf + 938 484.974 * * [simplify]: Extracting #6: cost 64 inf + 7075 484.980 * * [simplify]: Extracting #7: cost 32 inf + 19674 484.986 * * [simplify]: Extracting #8: cost 5 inf + 34667 484.994 * * [simplify]: Extracting #9: cost 0 inf + 37518 485.001 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 485.001 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 485.002 * * * * [progress]: [ 652 / 4148 ] simplifiying candidate # 485.002 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 485.002 * * [simplify]: iters left: 6 (22 enodes) 485.008 * * [simplify]: iters left: 5 (79 enodes) 485.023 * * [simplify]: iters left: 4 (124 enodes) 485.063 * * [simplify]: iters left: 3 (215 enodes) 485.109 * * [simplify]: iters left: 2 (305 enodes) 485.204 * * [simplify]: iters left: 1 (426 enodes) 485.351 * * [simplify]: Extracting #0: cost 1 inf + 0 485.351 * * [simplify]: Extracting #1: cost 23 inf + 0 485.352 * * [simplify]: Extracting #2: cost 45 inf + 1 485.352 * * [simplify]: Extracting #3: cost 67 inf + 1 485.353 * * [simplify]: Extracting #4: cost 87 inf + 2 485.354 * * [simplify]: Extracting #5: cost 79 inf + 550 485.356 * * [simplify]: Extracting #6: cost 50 inf + 6361 485.363 * * [simplify]: Extracting #7: cost 15 inf + 20570 485.375 * * [simplify]: Extracting #8: cost 1 inf + 29213 485.389 * * [simplify]: Extracting #9: cost 0 inf + 29996 485.403 * [simplify]: Simplified to (/ (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 485.403 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 485.403 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 485.404 * * [simplify]: iters left: 6 (21 enodes) 485.416 * * [simplify]: iters left: 5 (76 enodes) 485.441 * * [simplify]: iters left: 4 (119 enodes) 485.475 * * [simplify]: iters left: 3 (202 enodes) 485.520 * * [simplify]: iters left: 2 (293 enodes) 485.637 * * [simplify]: iters left: 1 (422 enodes) 485.771 * * [simplify]: Extracting #0: cost 1 inf + 0 485.771 * * [simplify]: Extracting #1: cost 41 inf + 0 485.771 * * [simplify]: Extracting #2: cost 71 inf + 2 485.772 * * [simplify]: Extracting #3: cost 92 inf + 2 485.772 * * [simplify]: Extracting #4: cost 112 inf + 2 485.773 * * [simplify]: Extracting #5: cost 98 inf + 1664 485.775 * * [simplify]: Extracting #6: cost 62 inf + 10643 485.778 * * [simplify]: Extracting #7: cost 30 inf + 23466 485.785 * * [simplify]: Extracting #8: cost 1 inf + 39765 485.797 * * [simplify]: Extracting #9: cost 0 inf + 40247 485.813 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 485.813 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 485.813 * * * * [progress]: [ 653 / 4148 ] simplifiying candidate # 485.814 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 485.814 * * [simplify]: iters left: 6 (23 enodes) 485.823 * * [simplify]: iters left: 5 (86 enodes) 485.840 * * [simplify]: iters left: 4 (146 enodes) 485.882 * * [simplify]: iters left: 3 (314 enodes) 486.032 * * [simplify]: Extracting #0: cost 1 inf + 0 486.032 * * [simplify]: Extracting #1: cost 62 inf + 0 486.033 * * [simplify]: Extracting #2: cost 158 inf + 1 486.034 * * [simplify]: Extracting #3: cost 170 inf + 448 486.036 * * [simplify]: Extracting #4: cost 178 inf + 1908 486.040 * * [simplify]: Extracting #5: cost 136 inf + 14291 486.057 * * [simplify]: Extracting #6: cost 24 inf + 68117 486.074 * * [simplify]: Extracting #7: cost 0 inf + 82178 486.095 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 486.095 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 486.096 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 486.096 * * [simplify]: iters left: 6 (19 enodes) 486.106 * * [simplify]: iters left: 5 (70 enodes) 486.129 * * [simplify]: iters left: 4 (116 enodes) 486.167 * * [simplify]: iters left: 3 (196 enodes) 486.232 * * [simplify]: iters left: 2 (272 enodes) 486.287 * * [simplify]: iters left: 1 (373 enodes) 486.408 * * [simplify]: Extracting #0: cost 1 inf + 0 486.408 * * [simplify]: Extracting #1: cost 29 inf + 0 486.408 * * [simplify]: Extracting #2: cost 50 inf + 1 486.408 * * [simplify]: Extracting #3: cost 66 inf + 164 486.409 * * [simplify]: Extracting #4: cost 86 inf + 164 486.410 * * [simplify]: Extracting #5: cost 74 inf + 2003 486.415 * * [simplify]: Extracting #6: cost 29 inf + 16366 486.425 * * [simplify]: Extracting #7: cost 1 inf + 28300 486.437 * * [simplify]: Extracting #8: cost 0 inf + 28964 486.448 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 486.448 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 486.448 * * * * [progress]: [ 654 / 4148 ] simplifiying candidate # 486.449 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 486.449 * * [simplify]: iters left: 6 (22 enodes) 486.456 * * [simplify]: iters left: 5 (81 enodes) 486.473 * * [simplify]: iters left: 4 (130 enodes) 486.499 * * [simplify]: iters left: 3 (240 enodes) 486.552 * * [simplify]: iters left: 2 (391 enodes) 486.736 * * [simplify]: Extracting #0: cost 1 inf + 0 486.736 * * [simplify]: Extracting #1: cost 30 inf + 0 486.737 * * [simplify]: Extracting #2: cost 54 inf + 1 486.737 * * [simplify]: Extracting #3: cost 75 inf + 248 486.737 * * [simplify]: Extracting #4: cost 94 inf + 248 486.738 * * [simplify]: Extracting #5: cost 83 inf + 1667 486.740 * * [simplify]: Extracting #6: cost 32 inf + 18156 486.747 * * [simplify]: Extracting #7: cost 0 inf + 31649 486.755 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) 486.755 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 486.756 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 486.756 * * [simplify]: iters left: 6 (19 enodes) 486.761 * * [simplify]: iters left: 5 (70 enodes) 486.785 * * [simplify]: iters left: 4 (116 enodes) 486.810 * * [simplify]: iters left: 3 (196 enodes) 486.842 * * [simplify]: iters left: 2 (272 enodes) 486.934 * * [simplify]: iters left: 1 (373 enodes) 487.113 * * [simplify]: Extracting #0: cost 1 inf + 0 487.113 * * [simplify]: Extracting #1: cost 29 inf + 0 487.113 * * [simplify]: Extracting #2: cost 50 inf + 1 487.114 * * [simplify]: Extracting #3: cost 66 inf + 84 487.115 * * [simplify]: Extracting #4: cost 86 inf + 84 487.118 * * [simplify]: Extracting #5: cost 74 inf + 1843 487.123 * * [simplify]: Extracting #6: cost 29 inf + 15766 487.133 * * [simplify]: Extracting #7: cost 1 inf + 27180 487.144 * * [simplify]: Extracting #8: cost 0 inf + 27804 487.155 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 487.155 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 487.156 * * * * [progress]: [ 655 / 4148 ] simplifiying candidate # 487.156 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 1))) 1)) 487.156 * * [simplify]: iters left: 6 (21 enodes) 487.169 * * [simplify]: iters left: 5 (76 enodes) 487.193 * * [simplify]: iters left: 4 (112 enodes) 487.227 * * [simplify]: iters left: 3 (183 enodes) 487.268 * * [simplify]: iters left: 2 (260 enodes) 487.332 * * [simplify]: iters left: 1 (346 enodes) 487.446 * * [simplify]: Extracting #0: cost 1 inf + 0 487.446 * * [simplify]: Extracting #1: cost 12 inf + 0 487.446 * * [simplify]: Extracting #2: cost 22 inf + 1 487.446 * * [simplify]: Extracting #3: cost 42 inf + 1 487.446 * * [simplify]: Extracting #4: cost 60 inf + 2 487.447 * * [simplify]: Extracting #5: cost 51 inf + 873 487.448 * * [simplify]: Extracting #6: cost 25 inf + 5985 487.451 * * [simplify]: Extracting #7: cost 4 inf + 14084 487.457 * * [simplify]: Extracting #8: cost 0 inf + 15818 487.465 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) 487.466 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 487.466 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 487.466 * * [simplify]: iters left: 6 (18 enodes) 487.477 * * [simplify]: iters left: 5 (67 enodes) 487.499 * * [simplify]: iters left: 4 (113 enodes) 487.539 * * [simplify]: iters left: 3 (189 enodes) 487.575 * * [simplify]: iters left: 2 (260 enodes) 487.673 * * [simplify]: iters left: 1 (360 enodes) 487.787 * * [simplify]: Extracting #0: cost 1 inf + 0 487.787 * * [simplify]: Extracting #1: cost 31 inf + 0 487.788 * * [simplify]: Extracting #2: cost 48 inf + 2 487.788 * * [simplify]: Extracting #3: cost 67 inf + 2 487.789 * * [simplify]: Extracting #4: cost 86 inf + 2 487.790 * * [simplify]: Extracting #5: cost 72 inf + 1900 487.793 * * [simplify]: Extracting #6: cost 38 inf + 9612 487.800 * * [simplify]: Extracting #7: cost 15 inf + 18796 487.808 * * [simplify]: Extracting #8: cost 0 inf + 26504 487.813 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 487.813 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 487.814 * * * * [progress]: [ 656 / 4148 ] simplifiying candidate # 487.814 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 487.814 * * [simplify]: iters left: 6 (24 enodes) 487.821 * * [simplify]: iters left: 5 (89 enodes) 487.838 * * [simplify]: iters left: 4 (152 enodes) 487.870 * * [simplify]: iters left: 3 (316 enodes) 487.956 * * [simplify]: Extracting #0: cost 1 inf + 0 487.956 * * [simplify]: Extracting #1: cost 63 inf + 0 487.957 * * [simplify]: Extracting #2: cost 136 inf + 1 487.957 * * [simplify]: Extracting #3: cost 152 inf + 205 487.958 * * [simplify]: Extracting #4: cost 167 inf + 692 487.959 * * [simplify]: Extracting #5: cost 158 inf + 1827 487.961 * * [simplify]: Extracting #6: cost 114 inf + 14805 487.974 * * [simplify]: Extracting #7: cost 49 inf + 51284 488.003 * * [simplify]: Extracting #8: cost 4 inf + 83734 488.035 * * [simplify]: Extracting #9: cost 0 inf + 86706 488.052 * [simplify]: Simplified to (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))) 488.052 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 488.052 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 488.053 * * [simplify]: iters left: 6 (22 enodes) 488.058 * * [simplify]: iters left: 5 (79 enodes) 488.076 * * [simplify]: iters left: 4 (122 enodes) 488.115 * * [simplify]: iters left: 3 (205 enodes) 488.152 * * [simplify]: iters left: 2 (303 enodes) 488.274 * * [simplify]: iters left: 1 (436 enodes) 488.452 * * [simplify]: Extracting #0: cost 1 inf + 0 488.453 * * [simplify]: Extracting #1: cost 32 inf + 0 488.453 * * [simplify]: Extracting #2: cost 64 inf + 1 488.453 * * [simplify]: Extracting #3: cost 82 inf + 164 488.454 * * [simplify]: Extracting #4: cost 103 inf + 164 488.454 * * [simplify]: Extracting #5: cost 93 inf + 1018 488.456 * * [simplify]: Extracting #6: cost 64 inf + 7275 488.459 * * [simplify]: Extracting #7: cost 32 inf + 20354 488.467 * * [simplify]: Extracting #8: cost 5 inf + 35947 488.475 * * [simplify]: Extracting #9: cost 0 inf + 38918 488.487 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 488.487 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 488.488 * * * * [progress]: [ 657 / 4148 ] simplifiying candidate # 488.488 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 488.488 * * [simplify]: iters left: 6 (23 enodes) 488.504 * * [simplify]: iters left: 5 (84 enodes) 488.529 * * [simplify]: iters left: 4 (139 enodes) 488.553 * * [simplify]: iters left: 3 (267 enodes) 488.620 * * [simplify]: iters left: 2 (456 enodes) 488.825 * * [simplify]: Extracting #0: cost 1 inf + 0 488.825 * * [simplify]: Extracting #1: cost 56 inf + 0 488.826 * * [simplify]: Extracting #2: cost 105 inf + 1 488.826 * * [simplify]: Extracting #3: cost 131 inf + 43 488.827 * * [simplify]: Extracting #4: cost 150 inf + 84 488.830 * * [simplify]: Extracting #5: cost 134 inf + 2150 488.832 * * [simplify]: Extracting #6: cost 85 inf + 17387 488.839 * * [simplify]: Extracting #7: cost 42 inf + 39337 488.861 * * [simplify]: Extracting #8: cost 2 inf + 66192 488.876 * * [simplify]: Extracting #9: cost 0 inf + 67678 488.890 * [simplify]: Simplified to (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 488.891 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 488.891 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 488.891 * * [simplify]: iters left: 6 (22 enodes) 488.897 * * [simplify]: iters left: 5 (79 enodes) 488.918 * * [simplify]: iters left: 4 (122 enodes) 488.961 * * [simplify]: iters left: 3 (205 enodes) 489.027 * * [simplify]: iters left: 2 (303 enodes) 489.150 * * [simplify]: iters left: 1 (436 enodes) 489.332 * * [simplify]: Extracting #0: cost 1 inf + 0 489.332 * * [simplify]: Extracting #1: cost 32 inf + 0 489.333 * * [simplify]: Extracting #2: cost 64 inf + 1 489.333 * * [simplify]: Extracting #3: cost 82 inf + 84 489.334 * * [simplify]: Extracting #4: cost 103 inf + 84 489.335 * * [simplify]: Extracting #5: cost 93 inf + 938 489.338 * * [simplify]: Extracting #6: cost 64 inf + 7075 489.341 * * [simplify]: Extracting #7: cost 32 inf + 19674 489.347 * * [simplify]: Extracting #8: cost 5 inf + 34667 489.355 * * [simplify]: Extracting #9: cost 0 inf + 37518 489.362 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 489.362 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 489.362 * * * * [progress]: [ 658 / 4148 ] simplifiying candidate # 489.363 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 489.363 * * [simplify]: iters left: 6 (22 enodes) 489.369 * * [simplify]: iters left: 5 (79 enodes) 489.390 * * [simplify]: iters left: 4 (124 enodes) 489.411 * * [simplify]: iters left: 3 (215 enodes) 489.462 * * [simplify]: iters left: 2 (305 enodes) 489.570 * * [simplify]: iters left: 1 (426 enodes) 489.711 * * [simplify]: Extracting #0: cost 1 inf + 0 489.711 * * [simplify]: Extracting #1: cost 23 inf + 0 489.711 * * [simplify]: Extracting #2: cost 45 inf + 1 489.712 * * [simplify]: Extracting #3: cost 67 inf + 1 489.712 * * [simplify]: Extracting #4: cost 87 inf + 2 489.712 * * [simplify]: Extracting #5: cost 79 inf + 550 489.714 * * [simplify]: Extracting #6: cost 50 inf + 6361 489.717 * * [simplify]: Extracting #7: cost 15 inf + 20570 489.726 * * [simplify]: Extracting #8: cost 1 inf + 29213 489.739 * * [simplify]: Extracting #9: cost 0 inf + 29996 489.753 * [simplify]: Simplified to (/ (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) 489.753 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 489.754 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 489.754 * * [simplify]: iters left: 6 (21 enodes) 489.766 * * [simplify]: iters left: 5 (76 enodes) 489.785 * * [simplify]: iters left: 4 (119 enodes) 489.810 * * [simplify]: iters left: 3 (202 enodes) 489.853 * * [simplify]: iters left: 2 (293 enodes) 489.938 * * [simplify]: iters left: 1 (422 enodes) 490.114 * * [simplify]: Extracting #0: cost 1 inf + 0 490.114 * * [simplify]: Extracting #1: cost 41 inf + 0 490.115 * * [simplify]: Extracting #2: cost 71 inf + 2 490.119 * * [simplify]: Extracting #3: cost 92 inf + 2 490.119 * * [simplify]: Extracting #4: cost 112 inf + 2 490.120 * * [simplify]: Extracting #5: cost 98 inf + 1664 490.124 * * [simplify]: Extracting #6: cost 62 inf + 10643 490.132 * * [simplify]: Extracting #7: cost 30 inf + 23466 490.144 * * [simplify]: Extracting #8: cost 1 inf + 39765 490.151 * * [simplify]: Extracting #9: cost 0 inf + 40247 490.159 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 490.159 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 490.159 * * * * [progress]: [ 659 / 4148 ] simplifiying candidate # 490.160 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 490.160 * * [simplify]: iters left: 6 (23 enodes) 490.168 * * [simplify]: iters left: 5 (86 enodes) 490.185 * * [simplify]: iters left: 4 (146 enodes) 490.217 * * [simplify]: iters left: 3 (314 enodes) 490.309 * * [simplify]: Extracting #0: cost 1 inf + 0 490.310 * * [simplify]: Extracting #1: cost 62 inf + 0 490.310 * * [simplify]: Extracting #2: cost 158 inf + 1 490.312 * * [simplify]: Extracting #3: cost 170 inf + 448 490.313 * * [simplify]: Extracting #4: cost 178 inf + 1908 490.317 * * [simplify]: Extracting #5: cost 136 inf + 14291 490.339 * * [simplify]: Extracting #6: cost 24 inf + 68117 490.360 * * [simplify]: Extracting #7: cost 0 inf + 82178 490.374 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 490.374 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 490.374 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 490.374 * * [simplify]: iters left: 6 (19 enodes) 490.380 * * [simplify]: iters left: 5 (70 enodes) 490.397 * * [simplify]: iters left: 4 (116 enodes) 490.436 * * [simplify]: iters left: 3 (196 enodes) 490.498 * * [simplify]: iters left: 2 (272 enodes) 490.603 * * [simplify]: iters left: 1 (373 enodes) 490.760 * * [simplify]: Extracting #0: cost 1 inf + 0 490.760 * * [simplify]: Extracting #1: cost 29 inf + 0 490.761 * * [simplify]: Extracting #2: cost 50 inf + 1 490.761 * * [simplify]: Extracting #3: cost 66 inf + 164 490.762 * * [simplify]: Extracting #4: cost 86 inf + 164 490.763 * * [simplify]: Extracting #5: cost 74 inf + 2003 490.768 * * [simplify]: Extracting #6: cost 29 inf + 16366 490.778 * * [simplify]: Extracting #7: cost 1 inf + 28300 490.790 * * [simplify]: Extracting #8: cost 0 inf + 28964 490.801 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 490.801 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 490.802 * * * * [progress]: [ 660 / 4148 ] simplifiying candidate # 490.802 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt 1)) (sqrt a1))) 490.802 * * [simplify]: iters left: 6 (22 enodes) 490.816 * * [simplify]: iters left: 5 (81 enodes) 490.841 * * [simplify]: iters left: 4 (130 enodes) 490.864 * * [simplify]: iters left: 3 (240 enodes) 490.914 * * [simplify]: iters left: 2 (391 enodes) 491.066 * * [simplify]: Extracting #0: cost 1 inf + 0 491.066 * * [simplify]: Extracting #1: cost 30 inf + 0 491.067 * * [simplify]: Extracting #2: cost 54 inf + 1 491.067 * * [simplify]: Extracting #3: cost 75 inf + 248 491.068 * * [simplify]: Extracting #4: cost 94 inf + 248 491.069 * * [simplify]: Extracting #5: cost 83 inf + 1667 491.074 * * [simplify]: Extracting #6: cost 32 inf + 18156 491.085 * * [simplify]: Extracting #7: cost 0 inf + 31649 491.093 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) 491.093 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 491.093 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 491.093 * * [simplify]: iters left: 6 (19 enodes) 491.099 * * [simplify]: iters left: 5 (70 enodes) 491.111 * * [simplify]: iters left: 4 (116 enodes) 491.147 * * [simplify]: iters left: 3 (196 enodes) 491.200 * * [simplify]: iters left: 2 (272 enodes) 491.284 * * [simplify]: iters left: 1 (373 enodes) 491.465 * * [simplify]: Extracting #0: cost 1 inf + 0 491.466 * * [simplify]: Extracting #1: cost 29 inf + 0 491.466 * * [simplify]: Extracting #2: cost 50 inf + 1 491.466 * * [simplify]: Extracting #3: cost 66 inf + 84 491.467 * * [simplify]: Extracting #4: cost 86 inf + 84 491.468 * * [simplify]: Extracting #5: cost 74 inf + 1843 491.473 * * [simplify]: Extracting #6: cost 29 inf + 15766 491.483 * * [simplify]: Extracting #7: cost 1 inf + 27180 491.494 * * [simplify]: Extracting #8: cost 0 inf + 27804 491.505 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 491.505 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 491.506 * * * * [progress]: [ 661 / 4148 ] simplifiying candidate # 491.506 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt 1)) 1)) 491.507 * * [simplify]: iters left: 6 (21 enodes) 491.518 * * [simplify]: iters left: 5 (76 enodes) 491.546 * * [simplify]: iters left: 4 (112 enodes) 491.580 * * [simplify]: iters left: 3 (183 enodes) 491.615 * * [simplify]: iters left: 2 (260 enodes) 491.721 * * [simplify]: iters left: 1 (346 enodes) 491.852 * * [simplify]: Extracting #0: cost 1 inf + 0 491.852 * * [simplify]: Extracting #1: cost 12 inf + 0 491.852 * * [simplify]: Extracting #2: cost 22 inf + 1 491.852 * * [simplify]: Extracting #3: cost 42 inf + 1 491.852 * * [simplify]: Extracting #4: cost 60 inf + 2 491.853 * * [simplify]: Extracting #5: cost 51 inf + 873 491.854 * * [simplify]: Extracting #6: cost 25 inf + 5985 491.857 * * [simplify]: Extracting #7: cost 4 inf + 14084 491.861 * * [simplify]: Extracting #8: cost 0 inf + 15818 491.865 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) 491.865 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 491.866 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 491.866 * * [simplify]: iters left: 6 (18 enodes) 491.876 * * [simplify]: iters left: 5 (67 enodes) 491.899 * * [simplify]: iters left: 4 (113 enodes) 491.936 * * [simplify]: iters left: 3 (189 enodes) 491.980 * * [simplify]: iters left: 2 (260 enodes) 492.034 * * [simplify]: iters left: 1 (360 enodes) 492.156 * * [simplify]: Extracting #0: cost 1 inf + 0 492.156 * * [simplify]: Extracting #1: cost 31 inf + 0 492.156 * * [simplify]: Extracting #2: cost 48 inf + 2 492.157 * * [simplify]: Extracting #3: cost 67 inf + 2 492.157 * * [simplify]: Extracting #4: cost 86 inf + 2 492.158 * * [simplify]: Extracting #5: cost 72 inf + 1900 492.161 * * [simplify]: Extracting #6: cost 38 inf + 9612 492.169 * * [simplify]: Extracting #7: cost 15 inf + 18796 492.180 * * [simplify]: Extracting #8: cost 0 inf + 26504 492.188 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 492.188 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 492.189 * * * * [progress]: [ 662 / 4148 ] simplifiying candidate # 492.189 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 492.189 * * [simplify]: iters left: 6 (23 enodes) 492.196 * * [simplify]: iters left: 5 (86 enodes) 492.213 * * [simplify]: iters left: 4 (149 enodes) 492.264 * * [simplify]: iters left: 3 (314 enodes) 492.380 * * [simplify]: Extracting #0: cost 1 inf + 0 492.380 * * [simplify]: Extracting #1: cost 63 inf + 0 492.381 * * [simplify]: Extracting #2: cost 136 inf + 1 492.382 * * [simplify]: Extracting #3: cost 151 inf + 326 492.383 * * [simplify]: Extracting #4: cost 166 inf + 692 492.385 * * [simplify]: Extracting #5: cost 160 inf + 1282 492.393 * * [simplify]: Extracting #6: cost 90 inf + 29024 492.422 * * [simplify]: Extracting #7: cost 10 inf + 78356 492.451 * * [simplify]: Extracting #8: cost 0 inf + 85287 492.467 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 492.467 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 492.468 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 492.468 * * [simplify]: iters left: 6 (20 enodes) 492.478 * * [simplify]: iters left: 5 (73 enodes) 492.497 * * [simplify]: iters left: 4 (116 enodes) 492.516 * * [simplify]: iters left: 3 (199 enodes) 492.556 * * [simplify]: iters left: 2 (295 enodes) 492.677 * * [simplify]: iters left: 1 (440 enodes) 492.894 * * [simplify]: Extracting #0: cost 1 inf + 0 492.894 * * [simplify]: Extracting #1: cost 40 inf + 0 492.895 * * [simplify]: Extracting #2: cost 72 inf + 1 492.895 * * [simplify]: Extracting #3: cost 88 inf + 164 492.895 * * [simplify]: Extracting #4: cost 107 inf + 164 492.896 * * [simplify]: Extracting #5: cost 93 inf + 1906 492.898 * * [simplify]: Extracting #6: cost 46 inf + 17050 492.905 * * [simplify]: Extracting #7: cost 7 inf + 37639 492.913 * * [simplify]: Extracting #8: cost 0 inf + 42003 492.921 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 492.921 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 492.921 * * * * [progress]: [ 663 / 4148 ] simplifiying candidate # 492.922 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 492.922 * * [simplify]: iters left: 6 (22 enodes) 492.932 * * [simplify]: iters left: 5 (81 enodes) 492.946 * * [simplify]: iters left: 4 (136 enodes) 492.983 * * [simplify]: iters left: 3 (265 enodes) 493.064 * * [simplify]: iters left: 2 (457 enodes) 493.277 * * [simplify]: Extracting #0: cost 1 inf + 0 493.277 * * [simplify]: Extracting #1: cost 56 inf + 0 493.278 * * [simplify]: Extracting #2: cost 105 inf + 1 493.279 * * [simplify]: Extracting #3: cost 129 inf + 84 493.280 * * [simplify]: Extracting #4: cost 148 inf + 84 493.282 * * [simplify]: Extracting #5: cost 137 inf + 1360 493.288 * * [simplify]: Extracting #6: cost 77 inf + 22157 493.312 * * [simplify]: Extracting #7: cost 6 inf + 63100 493.342 * * [simplify]: Extracting #8: cost 0 inf + 66396 493.373 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 493.373 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 493.374 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 493.374 * * [simplify]: iters left: 6 (20 enodes) 493.389 * * [simplify]: iters left: 5 (73 enodes) 493.402 * * [simplify]: iters left: 4 (116 enodes) 493.424 * * [simplify]: iters left: 3 (199 enodes) 493.472 * * [simplify]: iters left: 2 (295 enodes) 493.550 * * [simplify]: iters left: 1 (440 enodes) 493.702 * * [simplify]: Extracting #0: cost 1 inf + 0 493.703 * * [simplify]: Extracting #1: cost 40 inf + 0 493.703 * * [simplify]: Extracting #2: cost 72 inf + 1 493.704 * * [simplify]: Extracting #3: cost 88 inf + 84 493.705 * * [simplify]: Extracting #4: cost 107 inf + 84 493.706 * * [simplify]: Extracting #5: cost 93 inf + 1826 493.710 * * [simplify]: Extracting #6: cost 46 inf + 16330 493.720 * * [simplify]: Extracting #7: cost 7 inf + 36159 493.728 * * [simplify]: Extracting #8: cost 0 inf + 40403 493.736 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 493.736 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 493.736 * * * * [progress]: [ 664 / 4148 ] simplifiying candidate # 493.736 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 493.736 * * [simplify]: iters left: 6 (21 enodes) 493.742 * * [simplify]: iters left: 5 (76 enodes) 493.755 * * [simplify]: iters left: 4 (121 enodes) 493.775 * * [simplify]: iters left: 3 (213 enodes) 493.814 * * [simplify]: iters left: 2 (302 enodes) 493.915 * * [simplify]: iters left: 1 (423 enodes) 494.044 * * [simplify]: Extracting #0: cost 1 inf + 0 494.045 * * [simplify]: Extracting #1: cost 24 inf + 0 494.045 * * [simplify]: Extracting #2: cost 46 inf + 1 494.045 * * [simplify]: Extracting #3: cost 67 inf + 1 494.045 * * [simplify]: Extracting #4: cost 86 inf + 2 494.046 * * [simplify]: Extracting #5: cost 75 inf + 1154 494.047 * * [simplify]: Extracting #6: cost 41 inf + 9060 494.051 * * [simplify]: Extracting #7: cost 16 inf + 20128 494.058 * * [simplify]: Extracting #8: cost 0 inf + 29897 494.066 * [simplify]: Simplified to (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 494.066 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 494.066 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 494.066 * * [simplify]: iters left: 6 (19 enodes) 494.073 * * [simplify]: iters left: 5 (70 enodes) 494.096 * * [simplify]: iters left: 4 (113 enodes) 494.116 * * [simplify]: iters left: 3 (196 enodes) 494.157 * * [simplify]: iters left: 2 (286 enodes) 494.245 * * [simplify]: iters left: 1 (422 enodes) 494.427 * * [simplify]: Extracting #0: cost 1 inf + 0 494.427 * * [simplify]: Extracting #1: cost 37 inf + 0 494.428 * * [simplify]: Extracting #2: cost 66 inf + 2 494.428 * * [simplify]: Extracting #3: cost 85 inf + 2 494.429 * * [simplify]: Extracting #4: cost 105 inf + 2 494.430 * * [simplify]: Extracting #5: cost 97 inf + 593 494.433 * * [simplify]: Extracting #6: cost 59 inf + 9228 494.441 * * [simplify]: Extracting #7: cost 12 inf + 29032 494.455 * * [simplify]: Extracting #8: cost 0 inf + 35991 494.471 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 494.471 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 494.472 * * * * [progress]: [ 665 / 4148 ] simplifiying candidate # 494.473 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 494.473 * * [simplify]: iters left: 6 (23 enodes) 494.486 * * [simplify]: iters left: 5 (86 enodes) 494.513 * * [simplify]: iters left: 4 (149 enodes) 494.542 * * [simplify]: iters left: 3 (313 enodes) 494.615 * * [simplify]: Extracting #0: cost 1 inf + 0 494.615 * * [simplify]: Extracting #1: cost 63 inf + 0 494.615 * * [simplify]: Extracting #2: cost 136 inf + 1 494.616 * * [simplify]: Extracting #3: cost 149 inf + 529 494.617 * * [simplify]: Extracting #4: cost 166 inf + 692 494.617 * * [simplify]: Extracting #5: cost 159 inf + 1545 494.621 * * [simplify]: Extracting #6: cost 89 inf + 30270 494.635 * * [simplify]: Extracting #7: cost 10 inf + 75356 494.658 * * [simplify]: Extracting #8: cost 0 inf + 82087 494.674 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 494.674 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (* (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 494.674 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 494.675 * * [simplify]: iters left: 6 (21 enodes) 494.683 * * [simplify]: iters left: 5 (76 enodes) 494.700 * * [simplify]: iters left: 4 (119 enodes) 494.740 * * [simplify]: iters left: 3 (202 enodes) 494.784 * * [simplify]: iters left: 2 (301 enodes) 494.859 * * [simplify]: iters left: 1 (439 enodes) 494.994 * * [simplify]: Extracting #0: cost 1 inf + 0 494.994 * * [simplify]: Extracting #1: cost 33 inf + 0 494.995 * * [simplify]: Extracting #2: cost 67 inf + 1 494.995 * * [simplify]: Extracting #3: cost 85 inf + 83 494.995 * * [simplify]: Extracting #4: cost 104 inf + 164 494.996 * * [simplify]: Extracting #5: cost 91 inf + 1664 494.999 * * [simplify]: Extracting #6: cost 50 inf + 13506 495.008 * * [simplify]: Extracting #7: cost 21 inf + 27473 495.026 * * [simplify]: Extracting #8: cost 1 inf + 38464 495.038 * * [simplify]: Extracting #9: cost 0 inf + 38826 495.053 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))))) 495.053 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 495.054 * * * * [progress]: [ 666 / 4148 ] simplifiying candidate # 495.054 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 495.054 * * [simplify]: iters left: 6 (22 enodes) 495.066 * * [simplify]: iters left: 5 (81 enodes) 495.088 * * [simplify]: iters left: 4 (136 enodes) 495.120 * * [simplify]: iters left: 3 (264 enodes) 495.196 * * [simplify]: iters left: 2 (455 enodes) 495.422 * * [simplify]: Extracting #0: cost 1 inf + 0 495.422 * * [simplify]: Extracting #1: cost 56 inf + 0 495.423 * * [simplify]: Extracting #2: cost 104 inf + 1 495.424 * * [simplify]: Extracting #3: cost 128 inf + 84 495.425 * * [simplify]: Extracting #4: cost 147 inf + 84 495.426 * * [simplify]: Extracting #5: cost 138 inf + 715 495.434 * * [simplify]: Extracting #6: cost 65 inf + 27592 495.460 * * [simplify]: Extracting #7: cost 5 inf + 60299 495.483 * * [simplify]: Extracting #8: cost 0 inf + 62853 495.498 * [simplify]: Simplified to (/ (/ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 495.498 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (sqrt a1)) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 495.499 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 495.499 * * [simplify]: iters left: 6 (21 enodes) 495.505 * * [simplify]: iters left: 5 (76 enodes) 495.529 * * [simplify]: iters left: 4 (119 enodes) 495.559 * * [simplify]: iters left: 3 (202 enodes) 495.593 * * [simplify]: iters left: 2 (301 enodes) 495.694 * * [simplify]: iters left: 1 (439 enodes) 495.892 * * [simplify]: Extracting #0: cost 1 inf + 0 495.893 * * [simplify]: Extracting #1: cost 33 inf + 0 495.893 * * [simplify]: Extracting #2: cost 67 inf + 1 495.893 * * [simplify]: Extracting #3: cost 85 inf + 43 495.894 * * [simplify]: Extracting #4: cost 104 inf + 84 495.894 * * [simplify]: Extracting #5: cost 91 inf + 1584 495.896 * * [simplify]: Extracting #6: cost 50 inf + 13146 495.901 * * [simplify]: Extracting #7: cost 21 inf + 26433 495.908 * * [simplify]: Extracting #8: cost 1 inf + 37024 495.916 * * [simplify]: Extracting #9: cost 0 inf + 37346 495.933 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))))) 495.933 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 495.934 * * * * [progress]: [ 667 / 4148 ] simplifiying candidate # 495.934 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 495.934 * * [simplify]: iters left: 6 (21 enodes) 495.942 * * [simplify]: iters left: 5 (76 enodes) 495.955 * * [simplify]: iters left: 4 (121 enodes) 495.982 * * [simplify]: iters left: 3 (212 enodes) 496.027 * * [simplify]: iters left: 2 (300 enodes) 496.114 * * [simplify]: iters left: 1 (421 enodes) 496.285 * * [simplify]: Extracting #0: cost 1 inf + 0 496.285 * * [simplify]: Extracting #1: cost 21 inf + 0 496.285 * * [simplify]: Extracting #2: cost 43 inf + 1 496.286 * * [simplify]: Extracting #3: cost 64 inf + 1 496.287 * * [simplify]: Extracting #4: cost 83 inf + 2 496.288 * * [simplify]: Extracting #5: cost 72 inf + 1235 496.293 * * [simplify]: Extracting #6: cost 20 inf + 17251 496.305 * * [simplify]: Extracting #7: cost 0 inf + 27146 496.318 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) 496.318 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th)))) (cbrt (cbrt (sqrt 2)))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 496.319 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 496.319 * * [simplify]: iters left: 6 (20 enodes) 496.331 * * [simplify]: iters left: 5 (73 enodes) 496.353 * * [simplify]: iters left: 4 (116 enodes) 496.372 * * [simplify]: iters left: 3 (199 enodes) 496.415 * * [simplify]: iters left: 2 (287 enodes) 496.479 * * [simplify]: iters left: 1 (422 enodes) 496.599 * * [simplify]: Extracting #0: cost 1 inf + 0 496.599 * * [simplify]: Extracting #1: cost 36 inf + 0 496.600 * * [simplify]: Extracting #2: cost 66 inf + 2 496.600 * * [simplify]: Extracting #3: cost 86 inf + 2 496.600 * * [simplify]: Extracting #4: cost 105 inf + 2 496.601 * * [simplify]: Extracting #5: cost 92 inf + 1523 496.602 * * [simplify]: Extracting #6: cost 55 inf + 10747 496.606 * * [simplify]: Extracting #7: cost 19 inf + 26121 496.613 * * [simplify]: Extracting #8: cost 0 inf + 35168 496.621 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (sqrt (cbrt (sqrt 2))))) 496.621 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (sqrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 496.621 * * * * [progress]: [ 668 / 4148 ] simplifiying candidate # 496.621 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 496.621 * * [simplify]: iters left: 6 (22 enodes) 496.629 * * [simplify]: iters left: 5 (83 enodes) 496.644 * * [simplify]: iters left: 4 (144 enodes) 496.670 * * [simplify]: iters left: 3 (313 enodes) 496.769 * * [simplify]: Extracting #0: cost 1 inf + 0 496.769 * * [simplify]: Extracting #1: cost 62 inf + 0 496.770 * * [simplify]: Extracting #2: cost 154 inf + 1 496.771 * * [simplify]: Extracting #3: cost 167 inf + 286 496.772 * * [simplify]: Extracting #4: cost 176 inf + 1585 496.775 * * [simplify]: Extracting #5: cost 144 inf + 8328 496.790 * * [simplify]: Extracting #6: cost 39 inf + 57410 496.818 * * [simplify]: Extracting #7: cost 0 inf + 80607 496.838 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 496.838 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 496.839 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 496.839 * * [simplify]: iters left: 6 (19 enodes) 496.845 * * [simplify]: iters left: 5 (70 enodes) 496.856 * * [simplify]: iters left: 4 (116 enodes) 496.887 * * [simplify]: iters left: 3 (196 enodes) 496.933 * * [simplify]: iters left: 2 (272 enodes) 497.012 * * [simplify]: iters left: 1 (373 enodes) 497.133 * * [simplify]: Extracting #0: cost 1 inf + 0 497.133 * * [simplify]: Extracting #1: cost 29 inf + 0 497.133 * * [simplify]: Extracting #2: cost 50 inf + 1 497.134 * * [simplify]: Extracting #3: cost 66 inf + 164 497.134 * * [simplify]: Extracting #4: cost 86 inf + 164 497.134 * * [simplify]: Extracting #5: cost 74 inf + 2003 497.137 * * [simplify]: Extracting #6: cost 29 inf + 16366 497.143 * * [simplify]: Extracting #7: cost 1 inf + 28300 497.154 * * [simplify]: Extracting #8: cost 0 inf + 28964 497.163 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 497.163 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 497.164 * * * * [progress]: [ 669 / 4148 ] simplifiying candidate # 497.164 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) (sqrt a1))) 497.164 * * [simplify]: iters left: 6 (21 enodes) 497.170 * * [simplify]: iters left: 5 (78 enodes) 497.183 * * [simplify]: iters left: 4 (127 enodes) 497.208 * * [simplify]: iters left: 3 (237 enodes) 497.278 * * [simplify]: iters left: 2 (393 enodes) 497.463 * * [simplify]: Extracting #0: cost 1 inf + 0 497.463 * * [simplify]: Extracting #1: cost 30 inf + 0 497.463 * * [simplify]: Extracting #2: cost 54 inf + 1 497.464 * * [simplify]: Extracting #3: cost 77 inf + 84 497.464 * * [simplify]: Extracting #4: cost 94 inf + 248 497.465 * * [simplify]: Extracting #5: cost 86 inf + 897 497.468 * * [simplify]: Extracting #6: cost 26 inf + 20395 497.475 * * [simplify]: Extracting #7: cost 0 inf + 31649 497.485 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) 497.485 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 497.485 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 497.485 * * [simplify]: iters left: 6 (19 enodes) 497.491 * * [simplify]: iters left: 5 (70 enodes) 497.503 * * [simplify]: iters left: 4 (116 enodes) 497.524 * * [simplify]: iters left: 3 (196 enodes) 497.558 * * [simplify]: iters left: 2 (272 enodes) 497.628 * * [simplify]: iters left: 1 (373 enodes) 497.760 * * [simplify]: Extracting #0: cost 1 inf + 0 497.760 * * [simplify]: Extracting #1: cost 29 inf + 0 497.760 * * [simplify]: Extracting #2: cost 50 inf + 1 497.760 * * [simplify]: Extracting #3: cost 66 inf + 84 497.760 * * [simplify]: Extracting #4: cost 86 inf + 84 497.761 * * [simplify]: Extracting #5: cost 74 inf + 1843 497.765 * * [simplify]: Extracting #6: cost 29 inf + 15766 497.776 * * [simplify]: Extracting #7: cost 1 inf + 27180 497.787 * * [simplify]: Extracting #8: cost 0 inf + 27804 497.794 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 497.794 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) (sqrt a1))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 497.794 * * * * [progress]: [ 670 / 4148 ] simplifiying candidate # 497.794 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) 1)) 497.795 * * [simplify]: iters left: 6 (20 enodes) 497.803 * * [simplify]: iters left: 5 (73 enodes) 497.815 * * [simplify]: iters left: 4 (109 enodes) 497.840 * * [simplify]: iters left: 3 (179 enodes) 497.873 * * [simplify]: iters left: 2 (255 enodes) 497.956 * * [simplify]: iters left: 1 (341 enodes) 498.078 * * [simplify]: Extracting #0: cost 1 inf + 0 498.078 * * [simplify]: Extracting #1: cost 12 inf + 0 498.079 * * [simplify]: Extracting #2: cost 22 inf + 1 498.079 * * [simplify]: Extracting #3: cost 42 inf + 1 498.079 * * [simplify]: Extracting #4: cost 61 inf + 2 498.080 * * [simplify]: Extracting #5: cost 48 inf + 1681 498.084 * * [simplify]: Extracting #6: cost 12 inf + 11408 498.089 * * [simplify]: Extracting #7: cost 1 inf + 15477 498.093 * * [simplify]: Extracting #8: cost 0 inf + 16020 498.098 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) 498.098 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 498.098 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 498.098 * * [simplify]: iters left: 6 (18 enodes) 498.104 * * [simplify]: iters left: 5 (67 enodes) 498.116 * * [simplify]: iters left: 4 (113 enodes) 498.147 * * [simplify]: iters left: 3 (189 enodes) 498.212 * * [simplify]: iters left: 2 (260 enodes) 498.275 * * [simplify]: iters left: 1 (360 enodes) 498.449 * * [simplify]: Extracting #0: cost 1 inf + 0 498.450 * * [simplify]: Extracting #1: cost 31 inf + 0 498.450 * * [simplify]: Extracting #2: cost 48 inf + 2 498.450 * * [simplify]: Extracting #3: cost 67 inf + 2 498.451 * * [simplify]: Extracting #4: cost 86 inf + 2 498.452 * * [simplify]: Extracting #5: cost 72 inf + 1900 498.455 * * [simplify]: Extracting #6: cost 38 inf + 9612 498.462 * * [simplify]: Extracting #7: cost 15 inf + 18796 498.473 * * [simplify]: Extracting #8: cost 0 inf + 26504 498.484 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 498.484 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt 1) 1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 498.484 * * * * [progress]: [ 671 / 4148 ] simplifiying candidate # 498.485 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 498.485 * * [simplify]: iters left: 6 (23 enodes) 498.495 * * [simplify]: iters left: 5 (90 enodes) 498.514 * * [simplify]: iters left: 4 (179 enodes) 498.555 * * [simplify]: iters left: 3 (466 enodes) 498.782 * * [simplify]: Extracting #0: cost 1 inf + 0 498.782 * * [simplify]: Extracting #1: cost 127 inf + 0 498.784 * * [simplify]: Extracting #2: cost 296 inf + 1 498.785 * * [simplify]: Extracting #3: cost 310 inf + 204 498.787 * * [simplify]: Extracting #4: cost 325 inf + 692 498.788 * * [simplify]: Extracting #5: cost 321 inf + 1020 498.791 * * [simplify]: Extracting #6: cost 299 inf + 7195 498.816 * * [simplify]: Extracting #7: cost 171 inf + 69132 498.866 * * [simplify]: Extracting #8: cost 25 inf + 169208 498.914 * * [simplify]: Extracting #9: cost 0 inf + 186508 498.972 * [simplify]: Simplified to (/ (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) 498.972 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 498.972 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 498.973 * * [simplify]: iters left: 6 (20 enodes) 498.984 * * [simplify]: iters left: 5 (73 enodes) 499.010 * * [simplify]: iters left: 4 (116 enodes) 499.047 * * [simplify]: iters left: 3 (199 enodes) 499.115 * * [simplify]: iters left: 2 (295 enodes) 499.238 * * [simplify]: iters left: 1 (440 enodes) 499.372 * * [simplify]: Extracting #0: cost 1 inf + 0 499.372 * * [simplify]: Extracting #1: cost 40 inf + 0 499.372 * * [simplify]: Extracting #2: cost 72 inf + 1 499.373 * * [simplify]: Extracting #3: cost 88 inf + 164 499.376 * * [simplify]: Extracting #4: cost 107 inf + 164 499.377 * * [simplify]: Extracting #5: cost 93 inf + 1906 499.382 * * [simplify]: Extracting #6: cost 46 inf + 17050 499.395 * * [simplify]: Extracting #7: cost 7 inf + 37639 499.410 * * [simplify]: Extracting #8: cost 0 inf + 42003 499.418 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 499.418 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 499.418 * * * * [progress]: [ 672 / 4148 ] simplifiying candidate # 499.419 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 499.419 * * [simplify]: iters left: 6 (22 enodes) 499.426 * * [simplify]: iters left: 5 (83 enodes) 499.442 * * [simplify]: iters left: 4 (149 enodes) 499.476 * * [simplify]: iters left: 3 (343 enodes) 499.630 * * [simplify]: Extracting #0: cost 1 inf + 0 499.630 * * [simplify]: Extracting #1: cost 81 inf + 0 499.631 * * [simplify]: Extracting #2: cost 171 inf + 1 499.633 * * [simplify]: Extracting #3: cost 188 inf + 43 499.635 * * [simplify]: Extracting #4: cost 205 inf + 126 499.637 * * [simplify]: Extracting #5: cost 182 inf + 5048 499.646 * * [simplify]: Extracting #6: cost 117 inf + 30499 499.666 * * [simplify]: Extracting #7: cost 11 inf + 96164 499.704 * * [simplify]: Extracting #8: cost 0 inf + 103860 499.745 * [simplify]: Simplified to (/ (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 499.745 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 499.746 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 499.746 * * [simplify]: iters left: 6 (20 enodes) 499.758 * * [simplify]: iters left: 5 (73 enodes) 499.782 * * [simplify]: iters left: 4 (116 enodes) 499.820 * * [simplify]: iters left: 3 (199 enodes) 499.889 * * [simplify]: iters left: 2 (295 enodes) 499.997 * * [simplify]: iters left: 1 (440 enodes) 500.150 * * [simplify]: Extracting #0: cost 1 inf + 0 500.150 * * [simplify]: Extracting #1: cost 40 inf + 0 500.150 * * [simplify]: Extracting #2: cost 72 inf + 1 500.151 * * [simplify]: Extracting #3: cost 88 inf + 84 500.152 * * [simplify]: Extracting #4: cost 107 inf + 84 500.153 * * [simplify]: Extracting #5: cost 93 inf + 1826 500.158 * * [simplify]: Extracting #6: cost 46 inf + 16330 500.171 * * [simplify]: Extracting #7: cost 7 inf + 36159 500.187 * * [simplify]: Extracting #8: cost 0 inf + 40403 500.203 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 500.203 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 500.203 * * * * [progress]: [ 673 / 4148 ] simplifiying candidate # 500.204 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 500.204 * * [simplify]: iters left: 6 (21 enodes) 500.215 * * [simplify]: iters left: 5 (78 enodes) 500.242 * * [simplify]: iters left: 4 (142 enodes) 500.298 * * [simplify]: iters left: 3 (302 enodes) 500.414 * * [simplify]: Extracting #0: cost 1 inf + 0 500.415 * * [simplify]: Extracting #1: cost 37 inf + 0 500.415 * * [simplify]: Extracting #2: cost 73 inf + 1 500.415 * * [simplify]: Extracting #3: cost 90 inf + 1 500.416 * * [simplify]: Extracting #4: cost 106 inf + 44 500.416 * * [simplify]: Extracting #5: cost 96 inf + 1340 500.418 * * [simplify]: Extracting #6: cost 50 inf + 17126 500.426 * * [simplify]: Extracting #7: cost 4 inf + 41961 500.444 * * [simplify]: Extracting #8: cost 0 inf + 44152 500.462 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 500.463 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 500.463 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 500.463 * * [simplify]: iters left: 6 (19 enodes) 500.473 * * [simplify]: iters left: 5 (70 enodes) 500.497 * * [simplify]: iters left: 4 (113 enodes) 500.524 * * [simplify]: iters left: 3 (196 enodes) 500.587 * * [simplify]: iters left: 2 (286 enodes) 500.668 * * [simplify]: iters left: 1 (422 enodes) 500.796 * * [simplify]: Extracting #0: cost 1 inf + 0 500.796 * * [simplify]: Extracting #1: cost 37 inf + 0 500.796 * * [simplify]: Extracting #2: cost 66 inf + 2 500.796 * * [simplify]: Extracting #3: cost 85 inf + 2 500.797 * * [simplify]: Extracting #4: cost 105 inf + 2 500.797 * * [simplify]: Extracting #5: cost 97 inf + 593 500.799 * * [simplify]: Extracting #6: cost 59 inf + 9228 500.803 * * [simplify]: Extracting #7: cost 12 inf + 29032 500.810 * * [simplify]: Extracting #8: cost 0 inf + 35991 500.817 * [simplify]: Simplified to (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 500.817 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 500.818 * * * * [progress]: [ 674 / 4148 ] simplifiying candidate # 500.818 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 500.818 * * [simplify]: iters left: 6 (22 enodes) 500.828 * * [simplify]: iters left: 5 (83 enodes) 500.845 * * [simplify]: iters left: 4 (146 enodes) 500.885 * * [simplify]: iters left: 3 (310 enodes) 500.975 * * [simplify]: Extracting #0: cost 1 inf + 0 500.975 * * [simplify]: Extracting #1: cost 64 inf + 0 500.976 * * [simplify]: Extracting #2: cost 136 inf + 1 500.977 * * [simplify]: Extracting #3: cost 149 inf + 408 500.978 * * [simplify]: Extracting #4: cost 165 inf + 571 500.980 * * [simplify]: Extracting #5: cost 156 inf + 1644 500.987 * * [simplify]: Extracting #6: cost 87 inf + 31162 501.014 * * [simplify]: Extracting #7: cost 12 inf + 72290 501.035 * * [simplify]: Extracting #8: cost 0 inf + 79685 501.054 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) 501.054 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1)) (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 501.054 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 501.054 * * [simplify]: iters left: 6 (20 enodes) 501.061 * * [simplify]: iters left: 5 (73 enodes) 501.077 * * [simplify]: iters left: 4 (116 enodes) 501.097 * * [simplify]: iters left: 3 (199 enodes) 501.165 * * [simplify]: iters left: 2 (295 enodes) 501.259 * * [simplify]: iters left: 1 (440 enodes) 501.394 * * [simplify]: Extracting #0: cost 1 inf + 0 501.394 * * [simplify]: Extracting #1: cost 40 inf + 0 501.395 * * [simplify]: Extracting #2: cost 72 inf + 1 501.395 * * [simplify]: Extracting #3: cost 88 inf + 164 501.396 * * [simplify]: Extracting #4: cost 107 inf + 164 501.397 * * [simplify]: Extracting #5: cost 93 inf + 1906 501.405 * * [simplify]: Extracting #6: cost 46 inf + 16570 501.419 * * [simplify]: Extracting #7: cost 7 inf + 36199 501.434 * * [simplify]: Extracting #8: cost 0 inf + 40403 501.450 * [simplify]: Simplified to (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 501.450 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 501.451 * * * * [progress]: [ 675 / 4148 ] simplifiying candidate # 501.451 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 501.451 * * [simplify]: iters left: 6 (21 enodes) 501.463 * * [simplify]: iters left: 5 (78 enodes) 501.488 * * [simplify]: iters left: 4 (133 enodes) 501.535 * * [simplify]: iters left: 3 (261 enodes) 501.636 * * [simplify]: iters left: 2 (449 enodes) 501.886 * * [simplify]: Extracting #0: cost 1 inf + 0 501.887 * * [simplify]: Extracting #1: cost 56 inf + 0 501.888 * * [simplify]: Extracting #2: cost 103 inf + 1 501.889 * * [simplify]: Extracting #3: cost 126 inf + 84 501.890 * * [simplify]: Extracting #4: cost 145 inf + 84 501.891 * * [simplify]: Extracting #5: cost 135 inf + 1038 501.896 * * [simplify]: Extracting #6: cost 77 inf + 20858 501.920 * * [simplify]: Extracting #7: cost 6 inf + 57052 501.941 * * [simplify]: Extracting #8: cost 0 inf + 60531 501.954 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) 501.955 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 501.955 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 501.955 * * [simplify]: iters left: 6 (20 enodes) 501.961 * * [simplify]: iters left: 5 (73 enodes) 501.982 * * [simplify]: iters left: 4 (116 enodes) 502.023 * * [simplify]: iters left: 3 (199 enodes) 502.074 * * [simplify]: iters left: 2 (295 enodes) 502.156 * * [simplify]: iters left: 1 (440 enodes) 502.347 * * [simplify]: Extracting #0: cost 1 inf + 0 502.348 * * [simplify]: Extracting #1: cost 40 inf + 0 502.348 * * [simplify]: Extracting #2: cost 72 inf + 1 502.349 * * [simplify]: Extracting #3: cost 88 inf + 84 502.350 * * [simplify]: Extracting #4: cost 107 inf + 84 502.351 * * [simplify]: Extracting #5: cost 93 inf + 1826 502.356 * * [simplify]: Extracting #6: cost 46 inf + 15850 502.368 * * [simplify]: Extracting #7: cost 7 inf + 34719 502.384 * * [simplify]: Extracting #8: cost 0 inf + 38803 502.400 * [simplify]: Simplified to (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 502.400 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 502.400 * * * * [progress]: [ 676 / 4148 ] simplifiying candidate # 502.401 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 502.401 * * [simplify]: iters left: 6 (20 enodes) 502.415 * * [simplify]: iters left: 5 (73 enodes) 502.440 * * [simplify]: iters left: 4 (118 enodes) 502.480 * * [simplify]: iters left: 3 (209 enodes) 502.553 * * [simplify]: iters left: 2 (299 enodes) 502.627 * * [simplify]: iters left: 1 (420 enodes) 502.767 * * [simplify]: Extracting #0: cost 1 inf + 0 502.767 * * [simplify]: Extracting #1: cost 23 inf + 0 502.767 * * [simplify]: Extracting #2: cost 44 inf + 1 502.768 * * [simplify]: Extracting #3: cost 64 inf + 1 502.768 * * [simplify]: Extracting #4: cost 82 inf + 2 502.769 * * [simplify]: Extracting #5: cost 69 inf + 1398 502.777 * * [simplify]: Extracting #6: cost 27 inf + 14877 502.783 * * [simplify]: Extracting #7: cost 0 inf + 26750 502.790 * [simplify]: Simplified to (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) 502.790 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 502.790 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 502.790 * * [simplify]: iters left: 6 (19 enodes) 502.796 * * [simplify]: iters left: 5 (70 enodes) 502.808 * * [simplify]: iters left: 4 (113 enodes) 502.831 * * [simplify]: iters left: 3 (196 enodes) 502.879 * * [simplify]: iters left: 2 (286 enodes) 502.995 * * [simplify]: iters left: 1 (422 enodes) 503.127 * * [simplify]: Extracting #0: cost 1 inf + 0 503.127 * * [simplify]: Extracting #1: cost 37 inf + 0 503.128 * * [simplify]: Extracting #2: cost 66 inf + 2 503.128 * * [simplify]: Extracting #3: cost 85 inf + 2 503.128 * * [simplify]: Extracting #4: cost 105 inf + 2 503.129 * * [simplify]: Extracting #5: cost 97 inf + 593 503.132 * * [simplify]: Extracting #6: cost 59 inf + 8988 503.137 * * [simplify]: Extracting #7: cost 12 inf + 27752 503.148 * * [simplify]: Extracting #8: cost 0 inf + 34431 503.162 * [simplify]: Simplified to (/ (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 503.162 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 503.163 * * * * [progress]: [ 677 / 4148 ] simplifiying candidate # 503.163 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) 503.164 * * [simplify]: iters left: 6 (21 enodes) 503.175 * * [simplify]: iters left: 5 (80 enodes) 503.199 * * [simplify]: iters left: 4 (139 enodes) 503.224 * * [simplify]: iters left: 3 (290 enodes) 503.338 * * [simplify]: Extracting #0: cost 1 inf + 0 503.338 * * [simplify]: Extracting #1: cost 62 inf + 0 503.339 * * [simplify]: Extracting #2: cost 143 inf + 1 503.340 * * [simplify]: Extracting #3: cost 159 inf + 2 503.342 * * [simplify]: Extracting #4: cost 171 inf + 894 503.346 * * [simplify]: Extracting #5: cost 155 inf + 2881 503.350 * * [simplify]: Extracting #6: cost 121 inf + 11574 503.367 * * [simplify]: Extracting #7: cost 29 inf + 60015 503.381 * * [simplify]: Extracting #8: cost 0 inf + 77135 503.399 * * [simplify]: Extracting #9: cost 0 inf + 77015 503.426 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 503.426 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 503.426 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 503.427 * * [simplify]: iters left: 6 (19 enodes) 503.437 * * [simplify]: iters left: 5 (70 enodes) 503.460 * * [simplify]: iters left: 4 (116 enodes) 503.498 * * [simplify]: iters left: 3 (196 enodes) 503.535 * * [simplify]: iters left: 2 (272 enodes) 503.616 * * [simplify]: iters left: 1 (373 enodes) 503.741 * * [simplify]: Extracting #0: cost 1 inf + 0 503.741 * * [simplify]: Extracting #1: cost 29 inf + 0 503.741 * * [simplify]: Extracting #2: cost 50 inf + 1 503.742 * * [simplify]: Extracting #3: cost 66 inf + 164 503.745 * * [simplify]: Extracting #4: cost 86 inf + 164 503.746 * * [simplify]: Extracting #5: cost 74 inf + 2003 503.751 * * [simplify]: Extracting #6: cost 29 inf + 16366 503.761 * * [simplify]: Extracting #7: cost 1 inf + 28300 503.773 * * [simplify]: Extracting #8: cost 0 inf + 28964 503.784 * [simplify]: Simplified to (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 503.784 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 503.784 * * * * [progress]: [ 678 / 4148 ] simplifiying candidate # 503.784 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 (sqrt a1))) 503.785 * * [simplify]: iters left: 6 (20 enodes) 503.797 * * [simplify]: iters left: 5 (75 enodes) 503.812 * * [simplify]: iters left: 4 (126 enodes) 503.837 * * [simplify]: iters left: 3 (239 enodes) 503.908 * * [simplify]: iters left: 2 (403 enodes) 504.117 * * [simplify]: Extracting #0: cost 1 inf + 0 504.117 * * [simplify]: Extracting #1: cost 31 inf + 0 504.118 * * [simplify]: Extracting #2: cost 55 inf + 1 504.118 * * [simplify]: Extracting #3: cost 79 inf + 43 504.119 * * [simplify]: Extracting #4: cost 95 inf + 248 504.120 * * [simplify]: Extracting #5: cost 88 inf + 736 504.129 * * [simplify]: Extracting #6: cost 27 inf + 20912 504.144 * * [simplify]: Extracting #7: cost 0 inf + 32352 504.153 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) 504.153 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 504.153 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 504.153 * * [simplify]: iters left: 6 (19 enodes) 504.159 * * [simplify]: iters left: 5 (70 enodes) 504.171 * * [simplify]: iters left: 4 (116 enodes) 504.206 * * [simplify]: iters left: 3 (196 enodes) 504.252 * * [simplify]: iters left: 2 (272 enodes) 504.323 * * [simplify]: iters left: 1 (373 enodes) 504.459 * * [simplify]: Extracting #0: cost 1 inf + 0 504.459 * * [simplify]: Extracting #1: cost 29 inf + 0 504.459 * * [simplify]: Extracting #2: cost 50 inf + 1 504.459 * * [simplify]: Extracting #3: cost 66 inf + 84 504.460 * * [simplify]: Extracting #4: cost 86 inf + 84 504.460 * * [simplify]: Extracting #5: cost 74 inf + 1843 504.463 * * [simplify]: Extracting #6: cost 29 inf + 15766 504.468 * * [simplify]: Extracting #7: cost 1 inf + 27180 504.473 * * [simplify]: Extracting #8: cost 0 inf + 27804 504.479 * [simplify]: Simplified to (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 504.479 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 (sqrt a1))) (/ (* (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 504.479 * * * * [progress]: [ 679 / 4148 ] simplifiying candidate # 504.480 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 1)) 504.480 * * [simplify]: iters left: 6 (19 enodes) 504.489 * * [simplify]: iters left: 5 (68 enodes) 504.516 * * [simplify]: iters left: 4 (107 enodes) 504.549 * * [simplify]: iters left: 3 (178 enodes) 504.602 * * [simplify]: iters left: 2 (252 enodes) 504.684 * * [simplify]: iters left: 1 (341 enodes) 504.798 * * [simplify]: Extracting #0: cost 1 inf + 0 504.798 * * [simplify]: Extracting #1: cost 12 inf + 0 504.798 * * [simplify]: Extracting #2: cost 22 inf + 1 504.798 * * [simplify]: Extracting #3: cost 42 inf + 1 504.798 * * [simplify]: Extracting #4: cost 60 inf + 2 504.799 * * [simplify]: Extracting #5: cost 49 inf + 1336 504.801 * * [simplify]: Extracting #6: cost 12 inf + 11844 504.806 * * [simplify]: Extracting #7: cost 0 inf + 15818 504.810 * [simplify]: Simplified to (* (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 504.810 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 504.810 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 504.811 * * [simplify]: iters left: 6 (18 enodes) 504.816 * * [simplify]: iters left: 5 (67 enodes) 504.830 * * [simplify]: iters left: 4 (113 enodes) 504.866 * * [simplify]: iters left: 3 (189 enodes) 504.926 * * [simplify]: iters left: 2 (260 enodes) 505.025 * * [simplify]: iters left: 1 (360 enodes) 505.146 * * [simplify]: Extracting #0: cost 1 inf + 0 505.146 * * [simplify]: Extracting #1: cost 31 inf + 0 505.146 * * [simplify]: Extracting #2: cost 48 inf + 2 505.146 * * [simplify]: Extracting #3: cost 67 inf + 2 505.147 * * [simplify]: Extracting #4: cost 86 inf + 2 505.147 * * [simplify]: Extracting #5: cost 72 inf + 1900 505.149 * * [simplify]: Extracting #6: cost 38 inf + 9612 505.152 * * [simplify]: Extracting #7: cost 15 inf + 18796 505.158 * * [simplify]: Extracting #8: cost 0 inf + 26504 505.163 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 505.163 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 505.164 * * * * [progress]: [ 680 / 4148 ] simplifiying candidate # 505.164 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 1) 505.164 * * [simplify]: iters left: 6 (18 enodes) 505.169 * * [simplify]: iters left: 5 (65 enodes) 505.194 * * [simplify]: iters left: 4 (106 enodes) 505.214 * * [simplify]: iters left: 3 (181 enodes) 505.245 * * [simplify]: iters left: 2 (255 enodes) 505.313 * * [simplify]: iters left: 1 (337 enodes) 505.431 * * [simplify]: Extracting #0: cost 1 inf + 0 505.431 * * [simplify]: Extracting #1: cost 12 inf + 0 505.431 * * [simplify]: Extracting #2: cost 22 inf + 1 505.432 * * [simplify]: Extracting #3: cost 42 inf + 1 505.432 * * [simplify]: Extracting #4: cost 60 inf + 2 505.433 * * [simplify]: Extracting #5: cost 50 inf + 1035 505.436 * * [simplify]: Extracting #6: cost 12 inf + 11206 505.442 * * [simplify]: Extracting #7: cost 0 inf + 15818 505.446 * [simplify]: Simplified to (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) 505.446 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 505.447 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ (cbrt (cbrt (sqrt 2))) a1)) 505.447 * * [simplify]: iters left: 6 (18 enodes) 505.452 * * [simplify]: iters left: 5 (67 enodes) 505.464 * * [simplify]: iters left: 4 (113 enodes) 505.491 * * [simplify]: iters left: 3 (189 enodes) 505.531 * * [simplify]: iters left: 2 (260 enodes) 505.601 * * [simplify]: iters left: 1 (360 enodes) 505.726 * * [simplify]: Extracting #0: cost 1 inf + 0 505.726 * * [simplify]: Extracting #1: cost 31 inf + 0 505.726 * * [simplify]: Extracting #2: cost 48 inf + 2 505.726 * * [simplify]: Extracting #3: cost 67 inf + 2 505.726 * * [simplify]: Extracting #4: cost 86 inf + 2 505.727 * * [simplify]: Extracting #5: cost 72 inf + 1900 505.729 * * [simplify]: Extracting #6: cost 38 inf + 9612 505.732 * * [simplify]: Extracting #7: cost 15 inf + 18796 505.742 * * [simplify]: Extracting #8: cost 0 inf + 26504 505.753 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 505.753 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) 1) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 505.754 * * * * [progress]: [ 681 / 4148 ] simplifiying candidate # 505.754 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (cbrt (cbrt (sqrt 2)))) 505.754 * * [simplify]: iters left: 6 (18 enodes) 505.763 * * [simplify]: iters left: 5 (67 enodes) 505.777 * * [simplify]: iters left: 4 (114 enodes) 505.797 * * [simplify]: iters left: 3 (197 enodes) 505.860 * * [simplify]: iters left: 2 (272 enodes) 505.936 * * [simplify]: iters left: 1 (352 enodes) 506.063 * * [simplify]: Extracting #0: cost 1 inf + 0 506.066 * * [simplify]: Extracting #1: cost 23 inf + 0 506.066 * * [simplify]: Extracting #2: cost 36 inf + 1 506.067 * * [simplify]: Extracting #3: cost 56 inf + 1 506.067 * * [simplify]: Extracting #4: cost 75 inf + 2 506.068 * * [simplify]: Extracting #5: cost 62 inf + 1419 506.073 * * [simplify]: Extracting #6: cost 18 inf + 15546 506.083 * * [simplify]: Extracting #7: cost 0 inf + 23134 506.093 * [simplify]: Simplified to (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 506.093 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 506.093 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (/ 1 a1)) 506.094 * * [simplify]: iters left: 6 (18 enodes) 506.105 * * [simplify]: iters left: 5 (67 enodes) 506.128 * * [simplify]: iters left: 4 (106 enodes) 506.163 * * [simplify]: iters left: 3 (178 enodes) 506.226 * * [simplify]: iters left: 2 (253 enodes) 506.325 * * [simplify]: iters left: 1 (369 enodes) 506.471 * * [simplify]: Extracting #0: cost 1 inf + 0 506.471 * * [simplify]: Extracting #1: cost 21 inf + 0 506.472 * * [simplify]: Extracting #2: cost 30 inf + 128 506.472 * * [simplify]: Extracting #3: cost 48 inf + 170 506.473 * * [simplify]: Extracting #4: cost 67 inf + 170 506.474 * * [simplify]: Extracting #5: cost 64 inf + 233 506.475 * * [simplify]: Extracting #6: cost 47 inf + 2999 506.481 * * [simplify]: Extracting #7: cost 15 inf + 12620 506.490 * * [simplify]: Extracting #8: cost 0 inf + 18203 506.501 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (cbrt (sqrt 2))))) 506.501 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) (sqrt 1))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 506.501 * * * * [progress]: [ 682 / 4148 ] simplifiying candidate # 506.502 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 506.502 * * [simplify]: iters left: 6 (20 enodes) 506.515 * * [simplify]: iters left: 5 (73 enodes) 506.528 * * [simplify]: iters left: 4 (134 enodes) 506.568 * * [simplify]: iters left: 3 (257 enodes) 506.658 * * [simplify]: iters left: 2 (459 enodes) 506.913 * * [simplify]: Extracting #0: cost 1 inf + 0 506.913 * * [simplify]: Extracting #1: cost 46 inf + 0 506.913 * * [simplify]: Extracting #2: cost 81 inf + 1 506.914 * * [simplify]: Extracting #3: cost 109 inf + 1 506.915 * * [simplify]: Extracting #4: cost 127 inf + 2 506.915 * * [simplify]: Extracting #5: cost 118 inf + 1016 506.917 * * [simplify]: Extracting #6: cost 80 inf + 10037 506.922 * * [simplify]: Extracting #7: cost 39 inf + 29391 506.935 * * [simplify]: Extracting #8: cost 6 inf + 49088 506.960 * * [simplify]: Extracting #9: cost 0 inf + 52006 506.988 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 506.988 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 506.989 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 506.989 * * [simplify]: iters left: 6 (18 enodes) 506.998 * * [simplify]: iters left: 5 (63 enodes) 507.019 * * [simplify]: iters left: 4 (102 enodes) 507.052 * * [simplify]: iters left: 3 (161 enodes) 507.099 * * [simplify]: iters left: 2 (226 enodes) 507.162 * * [simplify]: iters left: 1 (330 enodes) 507.307 * * [simplify]: Extracting #0: cost 1 inf + 0 507.307 * * [simplify]: Extracting #1: cost 17 inf + 0 507.307 * * [simplify]: Extracting #2: cost 31 inf + 1 507.308 * * [simplify]: Extracting #3: cost 52 inf + 1 507.309 * * [simplify]: Extracting #4: cost 71 inf + 2 507.309 * * [simplify]: Extracting #5: cost 60 inf + 1461 507.312 * * [simplify]: Extracting #6: cost 29 inf + 8667 507.318 * * [simplify]: Extracting #7: cost 6 inf + 17583 507.324 * * [simplify]: Extracting #8: cost 0 inf + 20741 507.328 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 507.328 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 507.329 * * * * [progress]: [ 683 / 4148 ] simplifiying candidate # 507.329 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 507.329 * * [simplify]: iters left: 6 (19 enodes) 507.334 * * [simplify]: iters left: 5 (68 enodes) 507.346 * * [simplify]: iters left: 4 (117 enodes) 507.380 * * [simplify]: iters left: 3 (202 enodes) 507.424 * * [simplify]: iters left: 2 (296 enodes) 507.507 * * [simplify]: iters left: 1 (430 enodes) 507.660 * * [simplify]: Extracting #0: cost 1 inf + 0 507.660 * * [simplify]: Extracting #1: cost 25 inf + 0 507.660 * * [simplify]: Extracting #2: cost 46 inf + 1 507.660 * * [simplify]: Extracting #3: cost 67 inf + 1 507.661 * * [simplify]: Extracting #4: cost 86 inf + 2 507.661 * * [simplify]: Extracting #5: cost 75 inf + 1317 507.663 * * [simplify]: Extracting #6: cost 45 inf + 7477 507.666 * * [simplify]: Extracting #7: cost 15 inf + 20120 507.674 * * [simplify]: Extracting #8: cost 0 inf + 28847 507.681 * [simplify]: Simplified to (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 507.681 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (/ (/ (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 507.682 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 507.682 * * [simplify]: iters left: 6 (18 enodes) 507.691 * * [simplify]: iters left: 5 (63 enodes) 507.712 * * [simplify]: iters left: 4 (102 enodes) 507.742 * * [simplify]: iters left: 3 (161 enodes) 507.769 * * [simplify]: iters left: 2 (226 enodes) 507.833 * * [simplify]: iters left: 1 (330 enodes) 507.939 * * [simplify]: Extracting #0: cost 1 inf + 0 507.939 * * [simplify]: Extracting #1: cost 17 inf + 0 507.939 * * [simplify]: Extracting #2: cost 31 inf + 1 507.940 * * [simplify]: Extracting #3: cost 52 inf + 1 507.940 * * [simplify]: Extracting #4: cost 71 inf + 2 507.940 * * [simplify]: Extracting #5: cost 60 inf + 1461 507.942 * * [simplify]: Extracting #6: cost 29 inf + 8627 507.945 * * [simplify]: Extracting #7: cost 6 inf + 17143 507.949 * * [simplify]: Extracting #8: cost 0 inf + 20061 507.954 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 507.954 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 507.954 * * * * [progress]: [ 684 / 4148 ] simplifiying candidate # 507.954 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 507.954 * * [simplify]: iters left: 6 (22 enodes) 507.961 * * [simplify]: iters left: 5 (81 enodes) 507.990 * * [simplify]: iters left: 4 (148 enodes) 508.044 * * [simplify]: iters left: 3 (313 enodes) 508.620 * * [simplify]: Extracting #0: cost 1 inf + 0 508.620 * * [simplify]: Extracting #1: cost 66 inf + 0 508.620 * * [simplify]: Extracting #2: cost 140 inf + 1 508.621 * * [simplify]: Extracting #3: cost 156 inf + 164 508.622 * * [simplify]: Extracting #4: cost 173 inf + 327 508.622 * * [simplify]: Extracting #5: cost 162 inf + 1705 508.625 * * [simplify]: Extracting #6: cost 113 inf + 20306 508.639 * * [simplify]: Extracting #7: cost 43 inf + 59377 508.669 * * [simplify]: Extracting #8: cost 4 inf + 86387 508.686 * * [simplify]: Extracting #9: cost 0 inf + 89418 508.717 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 508.718 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 508.718 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 508.718 * * [simplify]: iters left: 6 (19 enodes) 508.728 * * [simplify]: iters left: 5 (68 enodes) 508.750 * * [simplify]: iters left: 4 (117 enodes) 508.783 * * [simplify]: iters left: 3 (199 enodes) 508.818 * * [simplify]: iters left: 2 (311 enodes) 508.933 * * [simplify]: Extracting #0: cost 1 inf + 0 508.933 * * [simplify]: Extracting #1: cost 42 inf + 0 508.934 * * [simplify]: Extracting #2: cost 70 inf + 1 508.935 * * [simplify]: Extracting #3: cost 94 inf + 83 508.935 * * [simplify]: Extracting #4: cost 112 inf + 164 508.936 * * [simplify]: Extracting #5: cost 100 inf + 1402 508.941 * * [simplify]: Extracting #6: cost 46 inf + 18330 508.954 * * [simplify]: Extracting #7: cost 4 inf + 38619 508.973 * * [simplify]: Extracting #8: cost 0 inf + 41351 508.989 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 508.989 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 508.989 * * * * [progress]: [ 685 / 4148 ] simplifiying candidate # 508.990 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 508.990 * * [simplify]: iters left: 6 (21 enodes) 509.000 * * [simplify]: iters left: 5 (76 enodes) 509.027 * * [simplify]: iters left: 4 (133 enodes) 509.073 * * [simplify]: iters left: 3 (261 enodes) 509.138 * * [simplify]: iters left: 2 (472 enodes) 509.408 * * [simplify]: Extracting #0: cost 1 inf + 0 509.408 * * [simplify]: Extracting #1: cost 72 inf + 0 509.409 * * [simplify]: Extracting #2: cost 123 inf + 1 509.411 * * [simplify]: Extracting #3: cost 147 inf + 84 509.412 * * [simplify]: Extracting #4: cost 166 inf + 84 509.414 * * [simplify]: Extracting #5: cost 156 inf + 937 509.421 * * [simplify]: Extracting #6: cost 95 inf + 22825 509.454 * * [simplify]: Extracting #7: cost 5 inf + 72382 509.476 * * [simplify]: Extracting #8: cost 0 inf + 75536 509.495 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 509.495 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt 2))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 509.495 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 509.495 * * [simplify]: iters left: 6 (19 enodes) 509.500 * * [simplify]: iters left: 5 (68 enodes) 509.513 * * [simplify]: iters left: 4 (117 enodes) 509.532 * * [simplify]: iters left: 3 (199 enodes) 509.590 * * [simplify]: iters left: 2 (311 enodes) 509.675 * * [simplify]: Extracting #0: cost 1 inf + 0 509.675 * * [simplify]: Extracting #1: cost 42 inf + 0 509.675 * * [simplify]: Extracting #2: cost 70 inf + 1 509.676 * * [simplify]: Extracting #3: cost 94 inf + 43 509.676 * * [simplify]: Extracting #4: cost 112 inf + 84 509.677 * * [simplify]: Extracting #5: cost 100 inf + 1322 509.681 * * [simplify]: Extracting #6: cost 46 inf + 17810 509.694 * * [simplify]: Extracting #7: cost 4 inf + 37219 509.710 * * [simplify]: Extracting #8: cost 0 inf + 39871 509.728 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 509.728 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 509.729 * * * * [progress]: [ 686 / 4148 ] simplifiying candidate # 509.729 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 509.730 * * [simplify]: iters left: 6 (20 enodes) 509.740 * * [simplify]: iters left: 5 (71 enodes) 509.765 * * [simplify]: iters left: 4 (120 enodes) 509.799 * * [simplify]: iters left: 3 (210 enodes) 509.845 * * [simplify]: iters left: 2 (309 enodes) 509.930 * * [simplify]: iters left: 1 (465 enodes) 510.150 * * [simplify]: Extracting #0: cost 1 inf + 0 510.150 * * [simplify]: Extracting #1: cost 26 inf + 0 510.150 * * [simplify]: Extracting #2: cost 47 inf + 1 510.150 * * [simplify]: Extracting #3: cost 68 inf + 1 510.151 * * [simplify]: Extracting #4: cost 87 inf + 2 510.151 * * [simplify]: Extracting #5: cost 75 inf + 1619 510.153 * * [simplify]: Extracting #6: cost 42 inf + 10256 510.158 * * [simplify]: Extracting #7: cost 9 inf + 25636 510.166 * * [simplify]: Extracting #8: cost 0 inf + 31339 510.174 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 510.174 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 510.174 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 510.174 * * [simplify]: iters left: 6 (18 enodes) 510.179 * * [simplify]: iters left: 5 (65 enodes) 510.198 * * [simplify]: iters left: 4 (114 enodes) 510.239 * * [simplify]: iters left: 3 (196 enodes) 510.305 * * [simplify]: iters left: 2 (299 enodes) 510.417 * * [simplify]: Extracting #0: cost 1 inf + 0 510.418 * * [simplify]: Extracting #1: cost 48 inf + 0 510.418 * * [simplify]: Extracting #2: cost 74 inf + 2 510.418 * * [simplify]: Extracting #3: cost 100 inf + 2 510.419 * * [simplify]: Extracting #4: cost 119 inf + 2 510.421 * * [simplify]: Extracting #5: cost 107 inf + 1137 510.423 * * [simplify]: Extracting #6: cost 56 inf + 17682 510.431 * * [simplify]: Extracting #7: cost 4 inf + 39259 510.447 * * [simplify]: Extracting #8: cost 0 inf + 41149 510.463 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2))))) 510.463 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 510.463 * * * * [progress]: [ 687 / 4148 ] simplifiying candidate # 510.464 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 510.464 * * [simplify]: iters left: 6 (25 enodes) 510.475 * * [simplify]: iters left: 5 (91 enodes) 510.491 * * [simplify]: iters left: 4 (158 enodes) 510.528 * * [simplify]: iters left: 3 (321 enodes) 510.651 * * [simplify]: Extracting #0: cost 1 inf + 0 510.651 * * [simplify]: Extracting #1: cost 68 inf + 0 510.652 * * [simplify]: Extracting #2: cost 142 inf + 1 510.653 * * [simplify]: Extracting #3: cost 157 inf + 448 510.654 * * [simplify]: Extracting #4: cost 175 inf + 692 510.657 * * [simplify]: Extracting #5: cost 150 inf + 6060 510.666 * * [simplify]: Extracting #6: cost 89 inf + 31616 510.689 * * [simplify]: Extracting #7: cost 17 inf + 82636 510.716 * * [simplify]: Extracting #8: cost 0 inf + 96928 510.734 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (cbrt (cbrt (sqrt 2)))) 510.734 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 510.735 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 510.735 * * [simplify]: iters left: 6 (22 enodes) 510.741 * * [simplify]: iters left: 5 (77 enodes) 510.757 * * [simplify]: iters left: 4 (126 enodes) 510.778 * * [simplify]: iters left: 3 (208 enodes) 510.827 * * [simplify]: iters left: 2 (322 enodes) 510.982 * * [simplify]: Extracting #0: cost 1 inf + 0 510.982 * * [simplify]: Extracting #1: cost 42 inf + 0 510.983 * * [simplify]: Extracting #2: cost 71 inf + 1 510.983 * * [simplify]: Extracting #3: cost 96 inf + 164 510.984 * * [simplify]: Extracting #4: cost 117 inf + 164 510.985 * * [simplify]: Extracting #5: cost 109 inf + 1136 510.989 * * [simplify]: Extracting #6: cost 62 inf + 12899 510.997 * * [simplify]: Extracting #7: cost 31 inf + 25636 511.006 * * [simplify]: Extracting #8: cost 6 inf + 42904 511.015 * * [simplify]: Extracting #9: cost 0 inf + 46757 511.023 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 511.024 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 511.024 * * * * [progress]: [ 688 / 4148 ] simplifiying candidate # 511.024 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 511.024 * * [simplify]: iters left: 6 (24 enodes) 511.030 * * [simplify]: iters left: 5 (86 enodes) 511.059 * * [simplify]: iters left: 4 (147 enodes) 511.109 * * [simplify]: iters left: 3 (273 enodes) 511.185 * * [simplify]: iters left: 2 (491 enodes) 511.388 * * [simplify]: Extracting #0: cost 1 inf + 0 511.388 * * [simplify]: Extracting #1: cost 64 inf + 0 511.389 * * [simplify]: Extracting #2: cost 116 inf + 1 511.389 * * [simplify]: Extracting #3: cost 142 inf + 43 511.390 * * [simplify]: Extracting #4: cost 163 inf + 84 511.392 * * [simplify]: Extracting #5: cost 157 inf + 613 511.397 * * [simplify]: Extracting #6: cost 93 inf + 19441 511.411 * * [simplify]: Extracting #7: cost 51 inf + 41055 511.441 * * [simplify]: Extracting #8: cost 8 inf + 72555 511.476 * * [simplify]: Extracting #9: cost 0 inf + 77758 511.510 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) 511.510 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 511.511 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 511.511 * * [simplify]: iters left: 6 (22 enodes) 511.516 * * [simplify]: iters left: 5 (77 enodes) 511.532 * * [simplify]: iters left: 4 (126 enodes) 511.574 * * [simplify]: iters left: 3 (208 enodes) 511.612 * * [simplify]: iters left: 2 (322 enodes) 511.736 * * [simplify]: Extracting #0: cost 1 inf + 0 511.736 * * [simplify]: Extracting #1: cost 42 inf + 0 511.737 * * [simplify]: Extracting #2: cost 71 inf + 1 511.737 * * [simplify]: Extracting #3: cost 96 inf + 84 511.738 * * [simplify]: Extracting #4: cost 117 inf + 84 511.739 * * [simplify]: Extracting #5: cost 109 inf + 1056 511.743 * * [simplify]: Extracting #6: cost 62 inf + 12699 511.750 * * [simplify]: Extracting #7: cost 31 inf + 24836 511.765 * * [simplify]: Extracting #8: cost 6 inf + 41544 511.782 * * [simplify]: Extracting #9: cost 0 inf + 45277 511.800 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 511.800 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 511.801 * * * * [progress]: [ 689 / 4148 ] simplifiying candidate # 511.801 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 511.801 * * [simplify]: iters left: 6 (23 enodes) 511.816 * * [simplify]: iters left: 5 (81 enodes) 511.843 * * [simplify]: iters left: 4 (128 enodes) 511.884 * * [simplify]: iters left: 3 (218 enodes) 511.931 * * [simplify]: iters left: 2 (317 enodes) 512.069 * * [simplify]: iters left: 1 (467 enodes) 512.259 * * [simplify]: Extracting #0: cost 1 inf + 0 512.259 * * [simplify]: Extracting #1: cost 23 inf + 0 512.260 * * [simplify]: Extracting #2: cost 44 inf + 1 512.260 * * [simplify]: Extracting #3: cost 66 inf + 1 512.261 * * [simplify]: Extracting #4: cost 88 inf + 2 512.262 * * [simplify]: Extracting #5: cost 75 inf + 1580 512.266 * * [simplify]: Extracting #6: cost 37 inf + 10843 512.275 * * [simplify]: Extracting #7: cost 11 inf + 24485 512.289 * * [simplify]: Extracting #8: cost 0 inf + 31794 512.304 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2)))))) 512.304 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 512.304 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 512.305 * * [simplify]: iters left: 6 (21 enodes) 512.313 * * [simplify]: iters left: 5 (74 enodes) 512.328 * * [simplify]: iters left: 4 (123 enodes) 512.349 * * [simplify]: iters left: 3 (205 enodes) 512.405 * * [simplify]: iters left: 2 (310 enodes) 512.517 * * [simplify]: Extracting #0: cost 1 inf + 0 512.517 * * [simplify]: Extracting #1: cost 48 inf + 0 512.518 * * [simplify]: Extracting #2: cost 75 inf + 2 512.518 * * [simplify]: Extracting #3: cost 103 inf + 2 512.518 * * [simplify]: Extracting #4: cost 124 inf + 2 512.519 * * [simplify]: Extracting #5: cost 114 inf + 1056 512.521 * * [simplify]: Extracting #6: cost 65 inf + 13809 512.525 * * [simplify]: Extracting #7: cost 35 inf + 26200 512.533 * * [simplify]: Extracting #8: cost 8 inf + 42291 512.546 * * [simplify]: Extracting #9: cost 0 inf + 46995 512.555 * [simplify]: Simplified to (/ (* (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (cbrt 2))))) 512.555 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (* (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (* (cos th) (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 512.555 * * * * [progress]: [ 690 / 4148 ] simplifiying candidate # 512.556 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 512.556 * * [simplify]: iters left: 6 (23 enodes) 512.561 * * [simplify]: iters left: 5 (84 enodes) 512.578 * * [simplify]: iters left: 4 (149 enodes) 512.635 * * [simplify]: iters left: 3 (313 enodes) 512.740 * * [simplify]: Extracting #0: cost 1 inf + 0 512.740 * * [simplify]: Extracting #1: cost 68 inf + 0 512.741 * * [simplify]: Extracting #2: cost 143 inf + 1 512.741 * * [simplify]: Extracting #3: cost 159 inf + 285 512.742 * * [simplify]: Extracting #4: cost 175 inf + 692 512.744 * * [simplify]: Extracting #5: cost 148 inf + 7047 512.749 * * [simplify]: Extracting #6: cost 77 inf + 38787 512.768 * * [simplify]: Extracting #7: cost 11 inf + 83615 512.802 * * [simplify]: Extracting #8: cost 0 inf + 91969 512.821 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 512.821 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 512.822 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 512.822 * * [simplify]: iters left: 6 (21 enodes) 512.827 * * [simplify]: iters left: 5 (74 enodes) 512.845 * * [simplify]: iters left: 4 (123 enodes) 512.865 * * [simplify]: iters left: 3 (205 enodes) 512.929 * * [simplify]: iters left: 2 (319 enodes) 513.055 * * [simplify]: Extracting #0: cost 1 inf + 0 513.055 * * [simplify]: Extracting #1: cost 42 inf + 0 513.056 * * [simplify]: Extracting #2: cost 71 inf + 1 513.057 * * [simplify]: Extracting #3: cost 96 inf + 164 513.057 * * [simplify]: Extracting #4: cost 116 inf + 164 513.059 * * [simplify]: Extracting #5: cost 104 inf + 1420 513.062 * * [simplify]: Extracting #6: cost 63 inf + 12555 513.070 * * [simplify]: Extracting #7: cost 25 inf + 29727 513.078 * * [simplify]: Extracting #8: cost 0 inf + 43835 513.086 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 513.086 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 513.087 * * * * [progress]: [ 691 / 4148 ] simplifiying candidate # 513.087 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 513.087 * * [simplify]: iters left: 6 (22 enodes) 513.093 * * [simplify]: iters left: 5 (79 enodes) 513.117 * * [simplify]: iters left: 4 (140 enodes) 513.165 * * [simplify]: iters left: 3 (266 enodes) 513.276 * * [simplify]: iters left: 2 (483 enodes) 513.562 * * [simplify]: Extracting #0: cost 1 inf + 0 513.562 * * [simplify]: Extracting #1: cost 67 inf + 0 513.563 * * [simplify]: Extracting #2: cost 118 inf + 1 513.564 * * [simplify]: Extracting #3: cost 143 inf + 84 513.566 * * [simplify]: Extracting #4: cost 163 inf + 84 513.567 * * [simplify]: Extracting #5: cost 156 inf + 513 513.571 * * [simplify]: Extracting #6: cost 105 inf + 13688 513.585 * * [simplify]: Extracting #7: cost 47 inf + 42807 513.616 * * [simplify]: Extracting #8: cost 6 inf + 70107 513.642 * * [simplify]: Extracting #9: cost 0 inf + 74082 513.663 * [simplify]: Simplified to (/ (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 513.663 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 513.664 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 513.664 * * [simplify]: iters left: 6 (21 enodes) 513.675 * * [simplify]: iters left: 5 (74 enodes) 513.699 * * [simplify]: iters left: 4 (123 enodes) 513.741 * * [simplify]: iters left: 3 (205 enodes) 513.813 * * [simplify]: iters left: 2 (319 enodes) 513.903 * * [simplify]: Extracting #0: cost 1 inf + 0 513.904 * * [simplify]: Extracting #1: cost 42 inf + 0 513.904 * * [simplify]: Extracting #2: cost 71 inf + 1 513.905 * * [simplify]: Extracting #3: cost 96 inf + 84 513.906 * * [simplify]: Extracting #4: cost 116 inf + 84 513.907 * * [simplify]: Extracting #5: cost 104 inf + 1340 513.910 * * [simplify]: Extracting #6: cost 63 inf + 12315 513.919 * * [simplify]: Extracting #7: cost 25 inf + 28687 513.934 * * [simplify]: Extracting #8: cost 0 inf + 42355 513.946 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 513.946 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 513.946 * * * * [progress]: [ 692 / 4148 ] simplifiying candidate # 513.947 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 513.947 * * [simplify]: iters left: 6 (21 enodes) 513.952 * * [simplify]: iters left: 5 (74 enodes) 513.969 * * [simplify]: iters left: 4 (121 enodes) 514.003 * * [simplify]: iters left: 3 (211 enodes) 514.063 * * [simplify]: iters left: 2 (307 enodes) 514.154 * * [simplify]: iters left: 1 (457 enodes) 514.365 * * [simplify]: Extracting #0: cost 1 inf + 0 514.365 * * [simplify]: Extracting #1: cost 26 inf + 0 514.365 * * [simplify]: Extracting #2: cost 47 inf + 1 514.365 * * [simplify]: Extracting #3: cost 69 inf + 1 514.366 * * [simplify]: Extracting #4: cost 89 inf + 2 514.366 * * [simplify]: Extracting #5: cost 74 inf + 1742 514.368 * * [simplify]: Extracting #6: cost 40 inf + 10918 514.373 * * [simplify]: Extracting #7: cost 10 inf + 24391 514.380 * * [simplify]: Extracting #8: cost 0 inf + 31021 514.387 * [simplify]: Simplified to (/ (* (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 514.387 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 514.387 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 514.387 * * [simplify]: iters left: 6 (20 enodes) 514.393 * * [simplify]: iters left: 5 (71 enodes) 514.405 * * [simplify]: iters left: 4 (120 enodes) 514.449 * * [simplify]: iters left: 3 (202 enodes) 514.517 * * [simplify]: iters left: 2 (304 enodes) 514.607 * * [simplify]: Extracting #0: cost 1 inf + 0 514.607 * * [simplify]: Extracting #1: cost 49 inf + 0 514.608 * * [simplify]: Extracting #2: cost 76 inf + 2 514.608 * * [simplify]: Extracting #3: cost 104 inf + 2 514.609 * * [simplify]: Extracting #4: cost 124 inf + 2 514.609 * * [simplify]: Extracting #5: cost 114 inf + 814 514.611 * * [simplify]: Extracting #6: cost 62 inf + 14313 514.615 * * [simplify]: Extracting #7: cost 20 inf + 32619 514.623 * * [simplify]: Extracting #8: cost 1 inf + 43674 514.634 * * [simplify]: Extracting #9: cost 0 inf + 44417 514.644 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt (sqrt 2))))) 514.644 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 514.645 * * * * [progress]: [ 693 / 4148 ] simplifiying candidate # 514.645 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 514.645 * * [simplify]: iters left: 6 (23 enodes) 514.657 * * [simplify]: iters left: 5 (84 enodes) 514.688 * * [simplify]: iters left: 4 (149 enodes) 514.737 * * [simplify]: iters left: 3 (304 enodes) 514.854 * * [simplify]: Extracting #0: cost 1 inf + 0 514.854 * * [simplify]: Extracting #1: cost 58 inf + 0 514.855 * * [simplify]: Extracting #2: cost 121 inf + 1 514.855 * * [simplify]: Extracting #3: cost 131 inf + 854 514.856 * * [simplify]: Extracting #4: cost 136 inf + 2760 514.857 * * [simplify]: Extracting #5: cost 124 inf + 4782 514.862 * * [simplify]: Extracting #6: cost 54 inf + 32818 514.873 * * [simplify]: Extracting #7: cost 1 inf + 60607 514.894 * * [simplify]: Extracting #8: cost 0 inf + 61149 514.918 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (cbrt (cbrt (sqrt 2)))) 514.918 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 514.919 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 514.919 * * [simplify]: iters left: 6 (18 enodes) 514.928 * * [simplify]: iters left: 5 (65 enodes) 514.951 * * [simplify]: iters left: 4 (115 enodes) 514.992 * * [simplify]: iters left: 3 (190 enodes) 515.038 * * [simplify]: iters left: 2 (281 enodes) 515.118 * * [simplify]: iters left: 1 (431 enodes) 515.275 * * [simplify]: Extracting #0: cost 1 inf + 0 515.275 * * [simplify]: Extracting #1: cost 24 inf + 0 515.275 * * [simplify]: Extracting #2: cost 46 inf + 1 515.276 * * [simplify]: Extracting #3: cost 63 inf + 83 515.276 * * [simplify]: Extracting #4: cost 82 inf + 164 515.277 * * [simplify]: Extracting #5: cost 70 inf + 1419 515.281 * * [simplify]: Extracting #6: cost 33 inf + 13426 515.291 * * [simplify]: Extracting #7: cost 7 inf + 23190 515.302 * * [simplify]: Extracting #8: cost 2 inf + 25183 515.310 * * [simplify]: Extracting #9: cost 0 inf + 25787 515.315 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 515.315 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (* (cbrt a1) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 515.316 * * * * [progress]: [ 694 / 4148 ] simplifiying candidate # 515.316 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 515.316 * * [simplify]: iters left: 6 (22 enodes) 515.322 * * [simplify]: iters left: 5 (79 enodes) 515.342 * * [simplify]: iters left: 4 (140 enodes) 515.389 * * [simplify]: iters left: 3 (258 enodes) 515.446 * * [simplify]: iters left: 2 (435 enodes) 515.595 * * [simplify]: Extracting #0: cost 1 inf + 0 515.595 * * [simplify]: Extracting #1: cost 42 inf + 0 515.595 * * [simplify]: Extracting #2: cost 102 inf + 1 515.596 * * [simplify]: Extracting #3: cost 128 inf + 2 515.597 * * [simplify]: Extracting #4: cost 141 inf + 453 515.599 * * [simplify]: Extracting #5: cost 126 inf + 2355 515.606 * * [simplify]: Extracting #6: cost 54 inf + 29284 515.618 * * [simplify]: Extracting #7: cost 0 inf + 55295 515.631 * * [simplify]: Extracting #8: cost 0 inf + 55254 515.652 * [simplify]: Simplified to (* (sqrt a1) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (cbrt (sqrt 2))))) 515.652 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 515.653 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 515.653 * * [simplify]: iters left: 6 (18 enodes) 515.662 * * [simplify]: iters left: 5 (65 enodes) 515.676 * * [simplify]: iters left: 4 (115 enodes) 515.700 * * [simplify]: iters left: 3 (190 enodes) 515.739 * * [simplify]: iters left: 2 (281 enodes) 515.826 * * [simplify]: iters left: 1 (431 enodes) 515.988 * * [simplify]: Extracting #0: cost 1 inf + 0 515.988 * * [simplify]: Extracting #1: cost 24 inf + 0 515.988 * * [simplify]: Extracting #2: cost 46 inf + 1 515.988 * * [simplify]: Extracting #3: cost 63 inf + 43 515.989 * * [simplify]: Extracting #4: cost 82 inf + 84 515.989 * * [simplify]: Extracting #5: cost 70 inf + 1339 515.991 * * [simplify]: Extracting #6: cost 33 inf + 12986 515.996 * * [simplify]: Extracting #7: cost 7 inf + 22390 516.001 * * [simplify]: Extracting #8: cost 2 inf + 24263 516.007 * * [simplify]: Extracting #9: cost 0 inf + 24867 516.020 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 516.020 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 516.020 * * * * [progress]: [ 695 / 4148 ] simplifiying candidate # 516.021 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 1))) 1)) 516.021 * * [simplify]: iters left: 6 (21 enodes) 516.033 * * [simplify]: iters left: 5 (74 enodes) 516.049 * * [simplify]: iters left: 4 (121 enodes) 516.074 * * [simplify]: iters left: 3 (194 enodes) 516.120 * * [simplify]: iters left: 2 (302 enodes) 516.236 * * [simplify]: iters left: 1 (411 enodes) 516.354 * * [simplify]: Extracting #0: cost 1 inf + 0 516.354 * * [simplify]: Extracting #1: cost 14 inf + 0 516.354 * * [simplify]: Extracting #2: cost 24 inf + 1 516.354 * * [simplify]: Extracting #3: cost 44 inf + 1 516.354 * * [simplify]: Extracting #4: cost 63 inf + 2 516.355 * * [simplify]: Extracting #5: cost 55 inf + 750 516.356 * * [simplify]: Extracting #6: cost 26 inf + 6892 516.360 * * [simplify]: Extracting #7: cost 5 inf + 15233 516.368 * * [simplify]: Extracting #8: cost 0 inf + 17068 516.377 * [simplify]: Simplified to (* (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) 516.377 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 516.378 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 516.380 * * [simplify]: iters left: 6 (17 enodes) 516.388 * * [simplify]: iters left: 5 (62 enodes) 516.399 * * [simplify]: iters left: 4 (112 enodes) 516.418 * * [simplify]: iters left: 3 (187 enodes) 516.468 * * [simplify]: iters left: 2 (271 enodes) 516.584 * * [simplify]: iters left: 1 (425 enodes) 516.780 * * [simplify]: Extracting #0: cost 1 inf + 0 516.780 * * [simplify]: Extracting #1: cost 24 inf + 0 516.781 * * [simplify]: Extracting #2: cost 42 inf + 2 516.781 * * [simplify]: Extracting #3: cost 61 inf + 2 516.782 * * [simplify]: Extracting #4: cost 81 inf + 2 516.783 * * [simplify]: Extracting #5: cost 72 inf + 834 516.788 * * [simplify]: Extracting #6: cost 37 inf + 10173 516.798 * * [simplify]: Extracting #7: cost 5 inf + 21811 516.809 * * [simplify]: Extracting #8: cost 0 inf + 23402 516.822 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 516.822 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2))))) (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 516.822 * * * * [progress]: [ 696 / 4148 ] simplifiying candidate # 516.823 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 516.823 * * [simplify]: iters left: 6 (23 enodes) 516.834 * * [simplify]: iters left: 5 (84 enodes) 516.848 * * [simplify]: iters left: 4 (149 enodes) 516.875 * * [simplify]: iters left: 3 (313 enodes) 516.989 * * [simplify]: Extracting #0: cost 1 inf + 0 516.989 * * [simplify]: Extracting #1: cost 68 inf + 0 516.990 * * [simplify]: Extracting #2: cost 143 inf + 1 516.991 * * [simplify]: Extracting #3: cost 159 inf + 285 516.991 * * [simplify]: Extracting #4: cost 175 inf + 692 516.993 * * [simplify]: Extracting #5: cost 148 inf + 7047 516.998 * * [simplify]: Extracting #6: cost 77 inf + 38787 517.012 * * [simplify]: Extracting #7: cost 11 inf + 83615 517.029 * * [simplify]: Extracting #8: cost 0 inf + 91969 517.047 * [simplify]: Simplified to (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 517.047 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 517.048 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 517.048 * * [simplify]: iters left: 6 (21 enodes) 517.058 * * [simplify]: iters left: 5 (74 enodes) 517.083 * * [simplify]: iters left: 4 (123 enodes) 517.126 * * [simplify]: iters left: 3 (205 enodes) 517.165 * * [simplify]: iters left: 2 (319 enodes) 517.309 * * [simplify]: Extracting #0: cost 1 inf + 0 517.309 * * [simplify]: Extracting #1: cost 42 inf + 0 517.309 * * [simplify]: Extracting #2: cost 71 inf + 1 517.310 * * [simplify]: Extracting #3: cost 96 inf + 164 517.310 * * [simplify]: Extracting #4: cost 116 inf + 164 517.311 * * [simplify]: Extracting #5: cost 104 inf + 1420 517.312 * * [simplify]: Extracting #6: cost 63 inf + 12555 517.317 * * [simplify]: Extracting #7: cost 25 inf + 29727 517.324 * * [simplify]: Extracting #8: cost 0 inf + 43835 517.336 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 517.336 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 517.337 * * * * [progress]: [ 697 / 4148 ] simplifiying candidate # 517.337 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 517.338 * * [simplify]: iters left: 6 (22 enodes) 517.348 * * [simplify]: iters left: 5 (79 enodes) 517.374 * * [simplify]: iters left: 4 (140 enodes) 517.426 * * [simplify]: iters left: 3 (266 enodes) 517.502 * * [simplify]: iters left: 2 (483 enodes) 517.736 * * [simplify]: Extracting #0: cost 1 inf + 0 517.737 * * [simplify]: Extracting #1: cost 67 inf + 0 517.738 * * [simplify]: Extracting #2: cost 118 inf + 1 517.739 * * [simplify]: Extracting #3: cost 143 inf + 84 517.741 * * [simplify]: Extracting #4: cost 163 inf + 84 517.743 * * [simplify]: Extracting #5: cost 156 inf + 513 517.747 * * [simplify]: Extracting #6: cost 105 inf + 13688 517.760 * * [simplify]: Extracting #7: cost 47 inf + 42807 517.790 * * [simplify]: Extracting #8: cost 6 inf + 70107 517.815 * * [simplify]: Extracting #9: cost 0 inf + 74082 517.833 * [simplify]: Simplified to (/ (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 517.833 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 517.833 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 517.833 * * [simplify]: iters left: 6 (21 enodes) 517.843 * * [simplify]: iters left: 5 (74 enodes) 517.872 * * [simplify]: iters left: 4 (123 enodes) 517.906 * * [simplify]: iters left: 3 (205 enodes) 517.953 * * [simplify]: iters left: 2 (319 enodes) 518.065 * * [simplify]: Extracting #0: cost 1 inf + 0 518.065 * * [simplify]: Extracting #1: cost 42 inf + 0 518.066 * * [simplify]: Extracting #2: cost 71 inf + 1 518.066 * * [simplify]: Extracting #3: cost 96 inf + 84 518.066 * * [simplify]: Extracting #4: cost 116 inf + 84 518.067 * * [simplify]: Extracting #5: cost 104 inf + 1340 518.069 * * [simplify]: Extracting #6: cost 63 inf + 12315 518.074 * * [simplify]: Extracting #7: cost 25 inf + 28687 518.081 * * [simplify]: Extracting #8: cost 0 inf + 42355 518.090 * [simplify]: Simplified to (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 518.091 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 518.091 * * * * [progress]: [ 698 / 4148 ] simplifiying candidate # 518.091 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 518.092 * * [simplify]: iters left: 6 (21 enodes) 518.102 * * [simplify]: iters left: 5 (74 enodes) 518.123 * * [simplify]: iters left: 4 (121 enodes) 518.148 * * [simplify]: iters left: 3 (211 enodes) 518.200 * * [simplify]: iters left: 2 (307 enodes) 518.285 * * [simplify]: iters left: 1 (457 enodes) 518.466 * * [simplify]: Extracting #0: cost 1 inf + 0 518.466 * * [simplify]: Extracting #1: cost 26 inf + 0 518.466 * * [simplify]: Extracting #2: cost 47 inf + 1 518.467 * * [simplify]: Extracting #3: cost 69 inf + 1 518.468 * * [simplify]: Extracting #4: cost 89 inf + 2 518.469 * * [simplify]: Extracting #5: cost 74 inf + 1742 518.473 * * [simplify]: Extracting #6: cost 40 inf + 10918 518.477 * * [simplify]: Extracting #7: cost 10 inf + 24391 518.484 * * [simplify]: Extracting #8: cost 0 inf + 31021 518.491 * [simplify]: Simplified to (/ (* (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 518.491 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 518.491 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 518.491 * * [simplify]: iters left: 6 (20 enodes) 518.497 * * [simplify]: iters left: 5 (71 enodes) 518.509 * * [simplify]: iters left: 4 (120 enodes) 518.543 * * [simplify]: iters left: 3 (202 enodes) 518.601 * * [simplify]: iters left: 2 (304 enodes) 518.692 * * [simplify]: Extracting #0: cost 1 inf + 0 518.692 * * [simplify]: Extracting #1: cost 49 inf + 0 518.692 * * [simplify]: Extracting #2: cost 76 inf + 2 518.692 * * [simplify]: Extracting #3: cost 104 inf + 2 518.693 * * [simplify]: Extracting #4: cost 124 inf + 2 518.694 * * [simplify]: Extracting #5: cost 114 inf + 814 518.695 * * [simplify]: Extracting #6: cost 62 inf + 14313 518.700 * * [simplify]: Extracting #7: cost 20 inf + 32619 518.708 * * [simplify]: Extracting #8: cost 1 inf + 43674 518.720 * * [simplify]: Extracting #9: cost 0 inf + 44417 518.729 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt (sqrt 2))))) 518.729 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 518.730 * * * * [progress]: [ 699 / 4148 ] simplifiying candidate # 518.730 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 518.730 * * [simplify]: iters left: 6 (22 enodes) 518.736 * * [simplify]: iters left: 5 (81 enodes) 518.752 * * [simplify]: iters left: 4 (146 enodes) 518.780 * * [simplify]: iters left: 3 (316 enodes) 518.927 * * [simplify]: Extracting #0: cost 1 inf + 0 518.927 * * [simplify]: Extracting #1: cost 65 inf + 0 518.928 * * [simplify]: Extracting #2: cost 154 inf + 1 518.929 * * [simplify]: Extracting #3: cost 166 inf + 408 518.931 * * [simplify]: Extracting #4: cost 174 inf + 1949 518.935 * * [simplify]: Extracting #5: cost 133 inf + 12559 518.955 * * [simplify]: Extracting #6: cost 35 inf + 59703 518.983 * * [simplify]: Extracting #7: cost 0 inf + 80166 519.011 * * [simplify]: Extracting #8: cost 0 inf + 80126 519.029 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 519.029 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 519.029 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 519.030 * * [simplify]: iters left: 6 (18 enodes) 519.034 * * [simplify]: iters left: 5 (65 enodes) 519.046 * * [simplify]: iters left: 4 (115 enodes) 519.079 * * [simplify]: iters left: 3 (190 enodes) 519.122 * * [simplify]: iters left: 2 (281 enodes) 519.207 * * [simplify]: iters left: 1 (431 enodes) 519.372 * * [simplify]: Extracting #0: cost 1 inf + 0 519.372 * * [simplify]: Extracting #1: cost 24 inf + 0 519.373 * * [simplify]: Extracting #2: cost 46 inf + 1 519.373 * * [simplify]: Extracting #3: cost 63 inf + 83 519.373 * * [simplify]: Extracting #4: cost 82 inf + 164 519.374 * * [simplify]: Extracting #5: cost 70 inf + 1419 519.376 * * [simplify]: Extracting #6: cost 33 inf + 13426 519.384 * * [simplify]: Extracting #7: cost 7 inf + 23190 519.395 * * [simplify]: Extracting #8: cost 2 inf + 25183 519.407 * * [simplify]: Extracting #9: cost 0 inf + 25787 519.414 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 519.414 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1)) (* (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 519.414 * * * * [progress]: [ 700 / 4148 ] simplifiying candidate # 519.415 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt 1)) (sqrt a1))) 519.415 * * [simplify]: iters left: 6 (21 enodes) 519.421 * * [simplify]: iters left: 5 (76 enodes) 519.441 * * [simplify]: iters left: 4 (128 enodes) 519.485 * * [simplify]: iters left: 3 (239 enodes) 519.555 * * [simplify]: iters left: 2 (453 enodes) 519.825 * * [simplify]: Extracting #0: cost 1 inf + 0 519.825 * * [simplify]: Extracting #1: cost 54 inf + 0 519.825 * * [simplify]: Extracting #2: cost 110 inf + 1 519.826 * * [simplify]: Extracting #3: cost 135 inf + 2 519.826 * * [simplify]: Extracting #4: cost 141 inf + 986 519.827 * * [simplify]: Extracting #5: cost 126 inf + 3031 519.829 * * [simplify]: Extracting #6: cost 89 inf + 12112 519.838 * * [simplify]: Extracting #7: cost 17 inf + 46627 519.851 * * [simplify]: Extracting #8: cost 0 inf + 55942 519.872 * * [simplify]: Extracting #9: cost 0 inf + 55902 519.897 * [simplify]: Simplified to (* (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))) 519.897 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 519.897 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 519.897 * * [simplify]: iters left: 6 (18 enodes) 519.902 * * [simplify]: iters left: 5 (65 enodes) 519.914 * * [simplify]: iters left: 4 (115 enodes) 519.940 * * [simplify]: iters left: 3 (190 enodes) 520.005 * * [simplify]: iters left: 2 (281 enodes) 520.081 * * [simplify]: iters left: 1 (431 enodes) 520.248 * * [simplify]: Extracting #0: cost 1 inf + 0 520.248 * * [simplify]: Extracting #1: cost 24 inf + 0 520.248 * * [simplify]: Extracting #2: cost 46 inf + 1 520.249 * * [simplify]: Extracting #3: cost 63 inf + 43 520.249 * * [simplify]: Extracting #4: cost 82 inf + 84 520.250 * * [simplify]: Extracting #5: cost 70 inf + 1339 520.254 * * [simplify]: Extracting #6: cost 33 inf + 12986 520.260 * * [simplify]: Extracting #7: cost 7 inf + 22390 520.266 * * [simplify]: Extracting #8: cost 2 inf + 24263 520.272 * * [simplify]: Extracting #9: cost 0 inf + 24867 520.280 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 520.280 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt 1)) (sqrt a1))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 520.280 * * * * [progress]: [ 701 / 4148 ] simplifiying candidate # 520.281 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt 1)) 1)) 520.281 * * [simplify]: iters left: 6 (20 enodes) 520.286 * * [simplify]: iters left: 5 (71 enodes) 520.307 * * [simplify]: iters left: 4 (109 enodes) 520.341 * * [simplify]: iters left: 3 (180 enodes) 520.400 * * [simplify]: iters left: 2 (257 enodes) 520.469 * * [simplify]: iters left: 1 (353 enodes) 520.617 * * [simplify]: Extracting #0: cost 1 inf + 0 520.617 * * [simplify]: Extracting #1: cost 12 inf + 0 520.617 * * [simplify]: Extracting #2: cost 22 inf + 1 520.617 * * [simplify]: Extracting #3: cost 42 inf + 1 520.618 * * [simplify]: Extracting #4: cost 60 inf + 2 520.619 * * [simplify]: Extracting #5: cost 47 inf + 1499 520.621 * * [simplify]: Extracting #6: cost 16 inf + 9271 520.625 * * [simplify]: Extracting #7: cost 1 inf + 15315 520.630 * * [simplify]: Extracting #8: cost 0 inf + 15818 520.634 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (cbrt (cbrt (sqrt 2)))) 520.634 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 520.634 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 520.634 * * [simplify]: iters left: 6 (17 enodes) 520.639 * * [simplify]: iters left: 5 (62 enodes) 520.652 * * [simplify]: iters left: 4 (112 enodes) 520.681 * * [simplify]: iters left: 3 (187 enodes) 520.728 * * [simplify]: iters left: 2 (271 enodes) 520.806 * * [simplify]: iters left: 1 (425 enodes) 520.962 * * [simplify]: Extracting #0: cost 1 inf + 0 520.962 * * [simplify]: Extracting #1: cost 24 inf + 0 520.962 * * [simplify]: Extracting #2: cost 42 inf + 2 520.963 * * [simplify]: Extracting #3: cost 61 inf + 2 520.964 * * [simplify]: Extracting #4: cost 81 inf + 2 520.964 * * [simplify]: Extracting #5: cost 72 inf + 834 520.968 * * [simplify]: Extracting #6: cost 37 inf + 10173 520.977 * * [simplify]: Extracting #7: cost 5 inf + 21811 520.989 * * [simplify]: Extracting #8: cost 0 inf + 23402 520.995 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 520.995 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 520.995 * * * * [progress]: [ 702 / 4148 ] simplifiying candidate # 520.995 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 520.996 * * [simplify]: iters left: 6 (22 enodes) 521.002 * * [simplify]: iters left: 5 (82 enodes) 521.019 * * [simplify]: iters left: 4 (149 enodes) 521.046 * * [simplify]: iters left: 3 (314 enodes) 521.160 * * [simplify]: Extracting #0: cost 1 inf + 0 521.160 * * [simplify]: Extracting #1: cost 65 inf + 0 521.160 * * [simplify]: Extracting #2: cost 139 inf + 1 521.161 * * [simplify]: Extracting #3: cost 154 inf + 285 521.162 * * [simplify]: Extracting #4: cost 171 inf + 448 521.162 * * [simplify]: Extracting #5: cost 163 inf + 1260 521.165 * * [simplify]: Extracting #6: cost 108 inf + 22034 521.174 * * [simplify]: Extracting #7: cost 43 inf + 58492 521.193 * * [simplify]: Extracting #8: cost 4 inf + 85444 521.226 * * [simplify]: Extracting #9: cost 0 inf + 88315 521.260 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 521.261 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 521.261 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 521.262 * * [simplify]: iters left: 6 (19 enodes) 521.271 * * [simplify]: iters left: 5 (68 enodes) 521.294 * * [simplify]: iters left: 4 (117 enodes) 521.334 * * [simplify]: iters left: 3 (199 enodes) 521.404 * * [simplify]: iters left: 2 (311 enodes) 521.503 * * [simplify]: Extracting #0: cost 1 inf + 0 521.504 * * [simplify]: Extracting #1: cost 42 inf + 0 521.504 * * [simplify]: Extracting #2: cost 70 inf + 1 521.505 * * [simplify]: Extracting #3: cost 94 inf + 83 521.506 * * [simplify]: Extracting #4: cost 112 inf + 164 521.507 * * [simplify]: Extracting #5: cost 100 inf + 1402 521.510 * * [simplify]: Extracting #6: cost 46 inf + 18330 521.517 * * [simplify]: Extracting #7: cost 4 inf + 38619 521.525 * * [simplify]: Extracting #8: cost 0 inf + 41351 521.535 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 521.535 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 521.535 * * * * [progress]: [ 703 / 4148 ] simplifiying candidate # 521.535 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 521.536 * * [simplify]: iters left: 6 (21 enodes) 521.541 * * [simplify]: iters left: 5 (77 enodes) 521.563 * * [simplify]: iters left: 4 (134 enodes) 521.593 * * [simplify]: iters left: 3 (262 enodes) 521.673 * * [simplify]: iters left: 2 (471 enodes) 521.950 * * [simplify]: Extracting #0: cost 1 inf + 0 521.950 * * [simplify]: Extracting #1: cost 74 inf + 0 521.951 * * [simplify]: Extracting #2: cost 127 inf + 1 521.952 * * [simplify]: Extracting #3: cost 151 inf + 84 521.954 * * [simplify]: Extracting #4: cost 170 inf + 84 521.955 * * [simplify]: Extracting #5: cost 159 inf + 1280 521.960 * * [simplify]: Extracting #6: cost 106 inf + 16644 521.979 * * [simplify]: Extracting #7: cost 42 inf + 50927 522.019 * * [simplify]: Extracting #8: cost 2 inf + 76724 522.049 * * [simplify]: Extracting #9: cost 0 inf + 77748 522.067 * [simplify]: Simplified to (* (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 522.068 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt a1)) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 522.068 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 522.068 * * [simplify]: iters left: 6 (19 enodes) 522.076 * * [simplify]: iters left: 5 (68 enodes) 522.100 * * [simplify]: iters left: 4 (117 enodes) 522.136 * * [simplify]: iters left: 3 (199 enodes) 522.183 * * [simplify]: iters left: 2 (311 enodes) 522.274 * * [simplify]: Extracting #0: cost 1 inf + 0 522.274 * * [simplify]: Extracting #1: cost 42 inf + 0 522.274 * * [simplify]: Extracting #2: cost 70 inf + 1 522.275 * * [simplify]: Extracting #3: cost 94 inf + 43 522.276 * * [simplify]: Extracting #4: cost 112 inf + 84 522.277 * * [simplify]: Extracting #5: cost 100 inf + 1322 522.281 * * [simplify]: Extracting #6: cost 46 inf + 17810 522.294 * * [simplify]: Extracting #7: cost 4 inf + 37219 522.313 * * [simplify]: Extracting #8: cost 0 inf + 39871 522.329 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 522.329 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 522.329 * * * * [progress]: [ 704 / 4148 ] simplifiying candidate # 522.330 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 522.330 * * [simplify]: iters left: 6 (20 enodes) 522.340 * * [simplify]: iters left: 5 (72 enodes) 522.366 * * [simplify]: iters left: 4 (121 enodes) 522.406 * * [simplify]: iters left: 3 (211 enodes) 522.459 * * [simplify]: iters left: 2 (308 enodes) 522.563 * * [simplify]: iters left: 1 (452 enodes) 522.749 * * [simplify]: Extracting #0: cost 1 inf + 0 522.750 * * [simplify]: Extracting #1: cost 25 inf + 0 522.750 * * [simplify]: Extracting #2: cost 46 inf + 1 522.750 * * [simplify]: Extracting #3: cost 67 inf + 1 522.750 * * [simplify]: Extracting #4: cost 86 inf + 2 522.751 * * [simplify]: Extracting #5: cost 72 inf + 1921 522.754 * * [simplify]: Extracting #6: cost 25 inf + 16344 522.767 * * [simplify]: Extracting #7: cost 0 inf + 29756 522.783 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))))) 522.783 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 522.783 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 522.784 * * [simplify]: iters left: 6 (18 enodes) 522.793 * * [simplify]: iters left: 5 (65 enodes) 522.815 * * [simplify]: iters left: 4 (114 enodes) 522.848 * * [simplify]: iters left: 3 (196 enodes) 522.890 * * [simplify]: iters left: 2 (299 enodes) 522.974 * * [simplify]: Extracting #0: cost 1 inf + 0 522.975 * * [simplify]: Extracting #1: cost 48 inf + 0 522.975 * * [simplify]: Extracting #2: cost 74 inf + 2 522.976 * * [simplify]: Extracting #3: cost 100 inf + 2 522.977 * * [simplify]: Extracting #4: cost 119 inf + 2 522.978 * * [simplify]: Extracting #5: cost 107 inf + 1137 522.985 * * [simplify]: Extracting #6: cost 56 inf + 17682 522.999 * * [simplify]: Extracting #7: cost 4 inf + 39259 523.015 * * [simplify]: Extracting #8: cost 0 inf + 41149 523.030 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2))))) 523.030 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 523.031 * * * * [progress]: [ 705 / 4148 ] simplifiying candidate # 523.031 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 523.032 * * [simplify]: iters left: 6 (22 enodes) 523.040 * * [simplify]: iters left: 5 (81 enodes) 523.054 * * [simplify]: iters left: 4 (148 enodes) 523.096 * * [simplify]: iters left: 3 (313 enodes) 523.212 * * [simplify]: Extracting #0: cost 1 inf + 0 523.213 * * [simplify]: Extracting #1: cost 66 inf + 0 523.213 * * [simplify]: Extracting #2: cost 140 inf + 1 523.214 * * [simplify]: Extracting #3: cost 156 inf + 164 523.214 * * [simplify]: Extracting #4: cost 173 inf + 327 523.215 * * [simplify]: Extracting #5: cost 162 inf + 1705 523.219 * * [simplify]: Extracting #6: cost 113 inf + 20226 523.236 * * [simplify]: Extracting #7: cost 43 inf + 57657 523.266 * * [simplify]: Extracting #8: cost 4 inf + 82787 523.284 * * [simplify]: Extracting #9: cost 0 inf + 85618 523.305 * [simplify]: Simplified to (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 523.305 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 523.306 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 523.306 * * [simplify]: iters left: 6 (20 enodes) 523.316 * * [simplify]: iters left: 5 (71 enodes) 523.331 * * [simplify]: iters left: 4 (120 enodes) 523.352 * * [simplify]: iters left: 3 (202 enodes) 523.407 * * [simplify]: iters left: 2 (313 enodes) 523.506 * * [simplify]: Extracting #0: cost 1 inf + 0 523.506 * * [simplify]: Extracting #1: cost 42 inf + 0 523.507 * * [simplify]: Extracting #2: cost 71 inf + 1 523.507 * * [simplify]: Extracting #3: cost 95 inf + 164 523.508 * * [simplify]: Extracting #4: cost 114 inf + 164 523.510 * * [simplify]: Extracting #5: cost 100 inf + 1804 523.515 * * [simplify]: Extracting #6: cost 39 inf + 21581 523.529 * * [simplify]: Extracting #7: cost 5 inf + 38818 523.546 * * [simplify]: Extracting #8: cost 0 inf + 41513 523.562 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt (cbrt (sqrt 2)))))) 523.562 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (* (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)) (cbrt (sqrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 523.563 * * * * [progress]: [ 706 / 4148 ] simplifiying candidate # 523.563 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 523.563 * * [simplify]: iters left: 6 (21 enodes) 523.574 * * [simplify]: iters left: 5 (76 enodes) 523.600 * * [simplify]: iters left: 4 (133 enodes) 523.631 * * [simplify]: iters left: 3 (261 enodes) 523.734 * * [simplify]: iters left: 2 (472 enodes) 523.999 * * [simplify]: Extracting #0: cost 1 inf + 0 523.999 * * [simplify]: Extracting #1: cost 72 inf + 0 524.000 * * [simplify]: Extracting #2: cost 123 inf + 1 524.002 * * [simplify]: Extracting #3: cost 147 inf + 84 524.003 * * [simplify]: Extracting #4: cost 166 inf + 84 524.005 * * [simplify]: Extracting #5: cost 156 inf + 937 524.011 * * [simplify]: Extracting #6: cost 95 inf + 21825 524.040 * * [simplify]: Extracting #7: cost 5 inf + 69262 524.075 * * [simplify]: Extracting #8: cost 0 inf + 72176 524.111 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 524.111 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 524.112 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 524.112 * * [simplify]: iters left: 6 (20 enodes) 524.122 * * [simplify]: iters left: 5 (71 enodes) 524.150 * * [simplify]: iters left: 4 (120 enodes) 524.190 * * [simplify]: iters left: 3 (202 enodes) 524.239 * * [simplify]: iters left: 2 (313 enodes) 524.347 * * [simplify]: Extracting #0: cost 1 inf + 0 524.347 * * [simplify]: Extracting #1: cost 42 inf + 0 524.348 * * [simplify]: Extracting #2: cost 71 inf + 1 524.349 * * [simplify]: Extracting #3: cost 95 inf + 84 524.350 * * [simplify]: Extracting #4: cost 114 inf + 84 524.351 * * [simplify]: Extracting #5: cost 100 inf + 1724 524.357 * * [simplify]: Extracting #6: cost 39 inf + 20901 524.371 * * [simplify]: Extracting #7: cost 5 inf + 37378 524.387 * * [simplify]: Extracting #8: cost 0 inf + 40033 524.401 * [simplify]: Simplified to (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (* (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) (cbrt (sqrt (cbrt (sqrt 2)))))) 524.401 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (* (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)) (cbrt (sqrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 524.401 * * * * [progress]: [ 707 / 4148 ] simplifiying candidate # 524.402 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 524.402 * * [simplify]: iters left: 6 (20 enodes) 524.407 * * [simplify]: iters left: 5 (71 enodes) 524.419 * * [simplify]: iters left: 4 (120 enodes) 524.456 * * [simplify]: iters left: 3 (210 enodes) 524.497 * * [simplify]: iters left: 2 (309 enodes) 524.611 * * [simplify]: iters left: 1 (465 enodes) 524.766 * * [simplify]: Extracting #0: cost 1 inf + 0 524.767 * * [simplify]: Extracting #1: cost 26 inf + 0 524.767 * * [simplify]: Extracting #2: cost 47 inf + 1 524.767 * * [simplify]: Extracting #3: cost 68 inf + 1 524.767 * * [simplify]: Extracting #4: cost 87 inf + 2 524.770 * * [simplify]: Extracting #5: cost 74 inf + 1780 524.772 * * [simplify]: Extracting #6: cost 30 inf + 15181 524.784 * * [simplify]: Extracting #7: cost 1 inf + 28516 524.799 * * [simplify]: Extracting #8: cost 0 inf + 29179 524.814 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt (cbrt (sqrt 2)))))) 524.814 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (sqrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 524.815 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 524.815 * * [simplify]: iters left: 6 (19 enodes) 524.825 * * [simplify]: iters left: 5 (68 enodes) 524.842 * * [simplify]: iters left: 4 (117 enodes) 524.862 * * [simplify]: iters left: 3 (199 enodes) 524.920 * * [simplify]: iters left: 2 (302 enodes) 525.045 * * [simplify]: Extracting #0: cost 1 inf + 0 525.045 * * [simplify]: Extracting #1: cost 49 inf + 0 525.045 * * [simplify]: Extracting #2: cost 76 inf + 2 525.046 * * [simplify]: Extracting #3: cost 103 inf + 2 525.047 * * [simplify]: Extracting #4: cost 122 inf + 2 525.048 * * [simplify]: Extracting #5: cost 112 inf + 816 525.053 * * [simplify]: Extracting #6: cost 49 inf + 20967 525.069 * * [simplify]: Extracting #7: cost 3 inf + 40247 525.086 * * [simplify]: Extracting #8: cost 0 inf + 41775 525.103 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 525.103 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 525.104 * * * * [progress]: [ 708 / 4148 ] simplifiying candidate # 525.104 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 525.104 * * [simplify]: iters left: 6 (21 enodes) 525.116 * * [simplify]: iters left: 5 (78 enodes) 525.146 * * [simplify]: iters left: 4 (145 enodes) 525.188 * * [simplify]: iters left: 3 (314 enodes) 525.298 * * [simplify]: Extracting #0: cost 1 inf + 0 525.299 * * [simplify]: Extracting #1: cost 66 inf + 0 525.299 * * [simplify]: Extracting #2: cost 156 inf + 1 525.300 * * [simplify]: Extracting #3: cost 172 inf + 2 525.300 * * [simplify]: Extracting #4: cost 181 inf + 1017 525.302 * * [simplify]: Extracting #5: cost 147 inf + 7323 525.308 * * [simplify]: Extracting #6: cost 54 inf + 49218 525.324 * * [simplify]: Extracting #7: cost 4 inf + 78575 525.344 * * [simplify]: Extracting #8: cost 0 inf + 80909 525.372 * [simplify]: Simplified to (/ (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 525.373 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 525.373 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 525.373 * * [simplify]: iters left: 6 (18 enodes) 525.383 * * [simplify]: iters left: 5 (65 enodes) 525.406 * * [simplify]: iters left: 4 (115 enodes) 525.443 * * [simplify]: iters left: 3 (190 enodes) 525.509 * * [simplify]: iters left: 2 (281 enodes) 525.610 * * [simplify]: iters left: 1 (431 enodes) 525.758 * * [simplify]: Extracting #0: cost 1 inf + 0 525.758 * * [simplify]: Extracting #1: cost 24 inf + 0 525.758 * * [simplify]: Extracting #2: cost 46 inf + 1 525.759 * * [simplify]: Extracting #3: cost 63 inf + 83 525.759 * * [simplify]: Extracting #4: cost 82 inf + 164 525.760 * * [simplify]: Extracting #5: cost 70 inf + 1419 525.761 * * [simplify]: Extracting #6: cost 33 inf + 13426 525.767 * * [simplify]: Extracting #7: cost 7 inf + 23190 525.779 * * [simplify]: Extracting #8: cost 2 inf + 25183 525.791 * * [simplify]: Extracting #9: cost 0 inf + 25787 525.803 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 525.803 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 525.803 * * * * [progress]: [ 709 / 4148 ] simplifiying candidate # 525.804 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (sqrt a1))) 525.804 * * [simplify]: iters left: 6 (20 enodes) 525.815 * * [simplify]: iters left: 5 (73 enodes) 525.834 * * [simplify]: iters left: 4 (129 enodes) 525.862 * * [simplify]: iters left: 3 (237 enodes) 525.948 * * [simplify]: iters left: 2 (455 enodes) 526.217 * * [simplify]: Extracting #0: cost 1 inf + 0 526.217 * * [simplify]: Extracting #1: cost 50 inf + 0 526.218 * * [simplify]: Extracting #2: cost 104 inf + 1 526.219 * * [simplify]: Extracting #3: cost 129 inf + 2 526.220 * * [simplify]: Extracting #4: cost 137 inf + 822 526.222 * * [simplify]: Extracting #5: cost 125 inf + 2040 526.229 * * [simplify]: Extracting #6: cost 33 inf + 37480 526.241 * * [simplify]: Extracting #7: cost 1 inf + 53081 526.253 * * [simplify]: Extracting #8: cost 0 inf + 53624 526.277 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) 526.278 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 526.278 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 526.279 * * [simplify]: iters left: 6 (18 enodes) 526.288 * * [simplify]: iters left: 5 (65 enodes) 526.310 * * [simplify]: iters left: 4 (115 enodes) 526.349 * * [simplify]: iters left: 3 (190 enodes) 526.416 * * [simplify]: iters left: 2 (281 enodes) 526.508 * * [simplify]: iters left: 1 (431 enodes) 526.680 * * [simplify]: Extracting #0: cost 1 inf + 0 526.680 * * [simplify]: Extracting #1: cost 24 inf + 0 526.680 * * [simplify]: Extracting #2: cost 46 inf + 1 526.681 * * [simplify]: Extracting #3: cost 63 inf + 43 526.681 * * [simplify]: Extracting #4: cost 82 inf + 84 526.681 * * [simplify]: Extracting #5: cost 70 inf + 1339 526.683 * * [simplify]: Extracting #6: cost 33 inf + 12986 526.688 * * [simplify]: Extracting #7: cost 7 inf + 22390 526.699 * * [simplify]: Extracting #8: cost 2 inf + 24263 526.708 * * [simplify]: Extracting #9: cost 0 inf + 24867 526.714 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 526.714 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) (sqrt a1))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 526.714 * * * * [progress]: [ 710 / 4148 ] simplifiying candidate # 526.714 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) 1)) 526.714 * * [simplify]: iters left: 6 (19 enodes) 526.721 * * [simplify]: iters left: 5 (68 enodes) 526.733 * * [simplify]: iters left: 4 (106 enodes) 526.762 * * [simplify]: iters left: 3 (177 enodes) 526.817 * * [simplify]: iters left: 2 (256 enodes) 526.888 * * [simplify]: iters left: 1 (346 enodes) 527.004 * * [simplify]: Extracting #0: cost 1 inf + 0 527.004 * * [simplify]: Extracting #1: cost 12 inf + 0 527.004 * * [simplify]: Extracting #2: cost 22 inf + 1 527.004 * * [simplify]: Extracting #3: cost 42 inf + 1 527.005 * * [simplify]: Extracting #4: cost 61 inf + 2 527.006 * * [simplify]: Extracting #5: cost 49 inf + 1599 527.009 * * [simplify]: Extracting #6: cost 9 inf + 12073 527.018 * * [simplify]: Extracting #7: cost 0 inf + 16020 527.026 * [simplify]: Simplified to (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) 527.027 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 527.027 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 527.027 * * [simplify]: iters left: 6 (17 enodes) 527.035 * * [simplify]: iters left: 5 (62 enodes) 527.049 * * [simplify]: iters left: 4 (112 enodes) 527.077 * * [simplify]: iters left: 3 (187 enodes) 527.112 * * [simplify]: iters left: 2 (271 enodes) 527.207 * * [simplify]: iters left: 1 (425 enodes) 527.371 * * [simplify]: Extracting #0: cost 1 inf + 0 527.371 * * [simplify]: Extracting #1: cost 24 inf + 0 527.371 * * [simplify]: Extracting #2: cost 42 inf + 2 527.372 * * [simplify]: Extracting #3: cost 61 inf + 2 527.372 * * [simplify]: Extracting #4: cost 81 inf + 2 527.372 * * [simplify]: Extracting #5: cost 72 inf + 834 527.374 * * [simplify]: Extracting #6: cost 37 inf + 10173 527.378 * * [simplify]: Extracting #7: cost 5 inf + 21811 527.384 * * [simplify]: Extracting #8: cost 0 inf + 23402 527.394 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 527.394 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt 1) 1)) (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 527.395 * * * * [progress]: [ 711 / 4148 ] simplifiying candidate # 527.395 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 527.395 * * [simplify]: iters left: 6 (22 enodes) 527.406 * * [simplify]: iters left: 5 (85 enodes) 527.438 * * [simplify]: iters left: 4 (176 enodes) 527.486 * * [simplify]: iters left: 3 (461 enodes) 527.777 * * [simplify]: Extracting #0: cost 1 inf + 0 527.777 * * [simplify]: Extracting #1: cost 134 inf + 0 527.778 * * [simplify]: Extracting #2: cost 304 inf + 1 527.779 * * [simplify]: Extracting #3: cost 319 inf + 83 527.781 * * [simplify]: Extracting #4: cost 332 inf + 692 527.782 * * [simplify]: Extracting #5: cost 326 inf + 1102 527.785 * * [simplify]: Extracting #6: cost 293 inf + 14260 527.811 * * [simplify]: Extracting #7: cost 77 inf + 143078 527.888 * * [simplify]: Extracting #8: cost 0 inf + 192229 527.933 * * [simplify]: Extracting #9: cost 0 inf + 192069 528.009 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) 528.009 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 528.009 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 528.010 * * [simplify]: iters left: 6 (19 enodes) 528.020 * * [simplify]: iters left: 5 (68 enodes) 528.045 * * [simplify]: iters left: 4 (117 enodes) 528.074 * * [simplify]: iters left: 3 (199 enodes) 528.119 * * [simplify]: iters left: 2 (311 enodes) 528.266 * * [simplify]: Extracting #0: cost 1 inf + 0 528.266 * * [simplify]: Extracting #1: cost 42 inf + 0 528.266 * * [simplify]: Extracting #2: cost 70 inf + 1 528.267 * * [simplify]: Extracting #3: cost 94 inf + 83 528.268 * * [simplify]: Extracting #4: cost 112 inf + 164 528.269 * * [simplify]: Extracting #5: cost 100 inf + 1402 528.273 * * [simplify]: Extracting #6: cost 46 inf + 18330 528.287 * * [simplify]: Extracting #7: cost 4 inf + 38619 528.302 * * [simplify]: Extracting #8: cost 0 inf + 41351 528.314 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 528.314 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 528.314 * * * * [progress]: [ 712 / 4148 ] simplifiying candidate # 528.314 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 528.315 * * [simplify]: iters left: 6 (21 enodes) 528.320 * * [simplify]: iters left: 5 (78 enodes) 528.336 * * [simplify]: iters left: 4 (150 enodes) 528.396 * * [simplify]: iters left: 3 (346 enodes) 528.535 * * [simplify]: Extracting #0: cost 1 inf + 0 528.538 * * [simplify]: Extracting #1: cost 79 inf + 0 528.539 * * [simplify]: Extracting #2: cost 169 inf + 1 528.541 * * [simplify]: Extracting #3: cost 184 inf + 43 528.542 * * [simplify]: Extracting #4: cost 201 inf + 126 528.546 * * [simplify]: Extracting #5: cost 163 inf + 11426 528.572 * * [simplify]: Extracting #6: cost 23 inf + 85973 528.611 * * [simplify]: Extracting #7: cost 0 inf + 101164 528.632 * * [simplify]: Extracting #8: cost 0 inf + 101124 528.669 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) 528.669 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (cbrt (cbrt (sqrt 2))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 528.670 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 528.670 * * [simplify]: iters left: 6 (19 enodes) 528.677 * * [simplify]: iters left: 5 (68 enodes) 528.691 * * [simplify]: iters left: 4 (117 enodes) 528.717 * * [simplify]: iters left: 3 (199 enodes) 528.787 * * [simplify]: iters left: 2 (311 enodes) 528.905 * * [simplify]: Extracting #0: cost 1 inf + 0 528.905 * * [simplify]: Extracting #1: cost 42 inf + 0 528.905 * * [simplify]: Extracting #2: cost 70 inf + 1 528.906 * * [simplify]: Extracting #3: cost 94 inf + 43 528.907 * * [simplify]: Extracting #4: cost 112 inf + 84 528.908 * * [simplify]: Extracting #5: cost 100 inf + 1322 528.912 * * [simplify]: Extracting #6: cost 46 inf + 17810 528.926 * * [simplify]: Extracting #7: cost 4 inf + 37219 528.942 * * [simplify]: Extracting #8: cost 0 inf + 39871 528.958 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 528.958 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 528.959 * * * * [progress]: [ 713 / 4148 ] simplifiying candidate # 528.959 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 528.959 * * [simplify]: iters left: 6 (20 enodes) 528.969 * * [simplify]: iters left: 5 (73 enodes) 528.996 * * [simplify]: iters left: 4 (136 enodes) 529.050 * * [simplify]: iters left: 3 (278 enodes) 529.148 * * [simplify]: Extracting #0: cost 1 inf + 0 529.148 * * [simplify]: Extracting #1: cost 38 inf + 0 529.149 * * [simplify]: Extracting #2: cost 77 inf + 1 529.149 * * [simplify]: Extracting #3: cost 94 inf + 1 529.150 * * [simplify]: Extracting #4: cost 110 inf + 44 529.151 * * [simplify]: Extracting #5: cost 102 inf + 1179 529.154 * * [simplify]: Extracting #6: cost 57 inf + 14972 529.170 * * [simplify]: Extracting #7: cost 3 inf + 44853 529.187 * * [simplify]: Extracting #8: cost 0 inf + 46804 529.205 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 529.205 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 529.206 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 529.206 * * [simplify]: iters left: 6 (18 enodes) 529.216 * * [simplify]: iters left: 5 (65 enodes) 529.238 * * [simplify]: iters left: 4 (114 enodes) 529.271 * * [simplify]: iters left: 3 (196 enodes) 529.311 * * [simplify]: iters left: 2 (299 enodes) 529.391 * * [simplify]: Extracting #0: cost 1 inf + 0 529.391 * * [simplify]: Extracting #1: cost 48 inf + 0 529.391 * * [simplify]: Extracting #2: cost 74 inf + 2 529.391 * * [simplify]: Extracting #3: cost 100 inf + 2 529.392 * * [simplify]: Extracting #4: cost 119 inf + 2 529.392 * * [simplify]: Extracting #5: cost 107 inf + 1137 529.396 * * [simplify]: Extracting #6: cost 56 inf + 17682 529.402 * * [simplify]: Extracting #7: cost 4 inf + 39259 529.411 * * [simplify]: Extracting #8: cost 0 inf + 41149 529.421 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2))))) 529.421 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 529.421 * * * * [progress]: [ 714 / 4148 ] simplifiying candidate # 529.422 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 529.422 * * [simplify]: iters left: 6 (21 enodes) 529.433 * * [simplify]: iters left: 5 (78 enodes) 529.447 * * [simplify]: iters left: 4 (147 enodes) 529.480 * * [simplify]: iters left: 3 (311 enodes) 529.587 * * [simplify]: Extracting #0: cost 1 inf + 0 529.587 * * [simplify]: Extracting #1: cost 66 inf + 0 529.588 * * [simplify]: Extracting #2: cost 138 inf + 1 529.589 * * [simplify]: Extracting #3: cost 155 inf + 2 529.590 * * [simplify]: Extracting #4: cost 170 inf + 327 529.592 * * [simplify]: Extracting #5: cost 162 inf + 1099 529.596 * * [simplify]: Extracting #6: cost 119 inf + 12504 529.606 * * [simplify]: Extracting #7: cost 47 inf + 51946 529.621 * * [simplify]: Extracting #8: cost 4 inf + 79421 529.646 * * [simplify]: Extracting #9: cost 0 inf + 82114 529.670 * * [simplify]: Extracting #10: cost 0 inf + 82074 529.686 * [simplify]: Simplified to (/ (* (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) 529.686 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1))) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 529.687 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 529.687 * * [simplify]: iters left: 6 (19 enodes) 529.692 * * [simplify]: iters left: 5 (68 enodes) 529.704 * * [simplify]: iters left: 4 (117 enodes) 529.725 * * [simplify]: iters left: 3 (199 enodes) 529.789 * * [simplify]: iters left: 2 (311 enodes) 529.905 * * [simplify]: Extracting #0: cost 1 inf + 0 529.905 * * [simplify]: Extracting #1: cost 42 inf + 0 529.906 * * [simplify]: Extracting #2: cost 70 inf + 1 529.906 * * [simplify]: Extracting #3: cost 94 inf + 83 529.907 * * [simplify]: Extracting #4: cost 112 inf + 164 529.908 * * [simplify]: Extracting #5: cost 100 inf + 1402 529.912 * * [simplify]: Extracting #6: cost 46 inf + 18090 529.926 * * [simplify]: Extracting #7: cost 4 inf + 37259 529.942 * * [simplify]: Extracting #8: cost 0 inf + 39831 529.958 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) 529.958 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 529.959 * * * * [progress]: [ 715 / 4148 ] simplifiying candidate # 529.959 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 529.959 * * [simplify]: iters left: 6 (20 enodes) 529.970 * * [simplify]: iters left: 5 (73 enodes) 529.995 * * [simplify]: iters left: 4 (134 enodes) 530.029 * * [simplify]: iters left: 3 (260 enodes) 530.111 * * [simplify]: iters left: 2 (476 enodes) 530.313 * * [simplify]: Extracting #0: cost 1 inf + 0 530.313 * * [simplify]: Extracting #1: cost 65 inf + 0 530.314 * * [simplify]: Extracting #2: cost 116 inf + 1 530.315 * * [simplify]: Extracting #3: cost 141 inf + 2 530.317 * * [simplify]: Extracting #4: cost 158 inf + 84 530.322 * * [simplify]: Extracting #5: cost 147 inf + 1040 530.327 * * [simplify]: Extracting #6: cost 87 inf + 20699 530.353 * * [simplify]: Extracting #7: cost 8 inf + 61309 530.385 * * [simplify]: Extracting #8: cost 0 inf + 66414 530.419 * [simplify]: Simplified to (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt a1) (sqrt (cbrt (cbrt (sqrt 2)))))) 530.419 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (sqrt a1) (sqrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 530.420 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 530.420 * * [simplify]: iters left: 6 (19 enodes) 530.430 * * [simplify]: iters left: 5 (68 enodes) 530.453 * * [simplify]: iters left: 4 (117 enodes) 530.483 * * [simplify]: iters left: 3 (199 enodes) 530.530 * * [simplify]: iters left: 2 (311 enodes) 530.658 * * [simplify]: Extracting #0: cost 1 inf + 0 530.659 * * [simplify]: Extracting #1: cost 42 inf + 0 530.659 * * [simplify]: Extracting #2: cost 70 inf + 1 530.659 * * [simplify]: Extracting #3: cost 94 inf + 43 530.660 * * [simplify]: Extracting #4: cost 112 inf + 84 530.660 * * [simplify]: Extracting #5: cost 100 inf + 1322 530.662 * * [simplify]: Extracting #6: cost 46 inf + 17570 530.673 * * [simplify]: Extracting #7: cost 4 inf + 35859 530.691 * * [simplify]: Extracting #8: cost 0 inf + 38351 530.707 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) 530.707 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 530.707 * * * * [progress]: [ 716 / 4148 ] simplifiying candidate # 530.708 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 530.708 * * [simplify]: iters left: 6 (19 enodes) 530.718 * * [simplify]: iters left: 5 (68 enodes) 530.741 * * [simplify]: iters left: 4 (117 enodes) 530.780 * * [simplify]: iters left: 3 (207 enodes) 530.857 * * [simplify]: iters left: 2 (307 enodes) 530.992 * * [simplify]: iters left: 1 (451 enodes) 531.205 * * [simplify]: Extracting #0: cost 1 inf + 0 531.205 * * [simplify]: Extracting #1: cost 26 inf + 0 531.206 * * [simplify]: Extracting #2: cost 46 inf + 1 531.206 * * [simplify]: Extracting #3: cost 66 inf + 1 531.207 * * [simplify]: Extracting #4: cost 85 inf + 2 531.208 * * [simplify]: Extracting #5: cost 75 inf + 1155 531.210 * * [simplify]: Extracting #6: cost 40 inf + 8520 531.218 * * [simplify]: Extracting #7: cost 13 inf + 20398 531.231 * * [simplify]: Extracting #8: cost 0 inf + 27817 531.239 * [simplify]: Simplified to (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) 531.239 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 531.240 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 531.240 * * [simplify]: iters left: 6 (18 enodes) 531.245 * * [simplify]: iters left: 5 (65 enodes) 531.257 * * [simplify]: iters left: 4 (114 enodes) 531.284 * * [simplify]: iters left: 3 (196 enodes) 531.327 * * [simplify]: iters left: 2 (299 enodes) 531.450 * * [simplify]: Extracting #0: cost 1 inf + 0 531.450 * * [simplify]: Extracting #1: cost 48 inf + 0 531.450 * * [simplify]: Extracting #2: cost 74 inf + 2 531.450 * * [simplify]: Extracting #3: cost 100 inf + 2 531.451 * * [simplify]: Extracting #4: cost 119 inf + 2 531.451 * * [simplify]: Extracting #5: cost 107 inf + 1137 531.455 * * [simplify]: Extracting #6: cost 56 inf + 17242 531.462 * * [simplify]: Extracting #7: cost 4 inf + 37619 531.475 * * [simplify]: Extracting #8: cost 0 inf + 39389 531.491 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (sqrt (cbrt (cbrt (sqrt 2))))) 531.491 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) a1)) (sqrt (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 531.492 * * * * [progress]: [ 717 / 4148 ] simplifiying candidate # 531.492 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 (* (cbrt a1) (cbrt a1)))) 531.492 * * [simplify]: iters left: 6 (20 enodes) 531.503 * * [simplify]: iters left: 5 (75 enodes) 531.525 * * [simplify]: iters left: 4 (140 enodes) 531.550 * * [simplify]: iters left: 3 (289 enodes) 531.644 * * [simplify]: Extracting #0: cost 1 inf + 0 531.644 * * [simplify]: Extracting #1: cost 67 inf + 0 531.644 * * [simplify]: Extracting #2: cost 146 inf + 1 531.645 * * [simplify]: Extracting #3: cost 162 inf + 2 531.646 * * [simplify]: Extracting #4: cost 176 inf + 369 531.646 * * [simplify]: Extracting #5: cost 162 inf + 1890 531.648 * * [simplify]: Extracting #6: cost 133 inf + 7990 531.654 * * [simplify]: Extracting #7: cost 53 inf + 46475 531.677 * * [simplify]: Extracting #8: cost 4 inf + 75486 531.693 * * [simplify]: Extracting #9: cost 0 inf + 78022 531.707 * [simplify]: Simplified to (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 531.707 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ a1 (* (/ (cbrt (sqrt 2)) (cos th)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 531.707 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 531.707 * * [simplify]: iters left: 6 (18 enodes) 531.712 * * [simplify]: iters left: 5 (65 enodes) 531.724 * * [simplify]: iters left: 4 (115 enodes) 531.757 * * [simplify]: iters left: 3 (190 enodes) 531.800 * * [simplify]: iters left: 2 (281 enodes) 531.885 * * [simplify]: iters left: 1 (431 enodes) 532.052 * * [simplify]: Extracting #0: cost 1 inf + 0 532.053 * * [simplify]: Extracting #1: cost 24 inf + 0 532.053 * * [simplify]: Extracting #2: cost 46 inf + 1 532.053 * * [simplify]: Extracting #3: cost 63 inf + 83 532.054 * * [simplify]: Extracting #4: cost 82 inf + 164 532.055 * * [simplify]: Extracting #5: cost 70 inf + 1419 532.059 * * [simplify]: Extracting #6: cost 33 inf + 13426 532.069 * * [simplify]: Extracting #7: cost 7 inf + 23190 532.080 * * [simplify]: Extracting #8: cost 2 inf + 25183 532.093 * * [simplify]: Extracting #9: cost 0 inf + 25787 532.107 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 532.107 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 532.108 * * * * [progress]: [ 718 / 4148 ] simplifiying candidate # 532.108 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 (sqrt a1))) 532.108 * * [simplify]: iters left: 6 (19 enodes) 532.118 * * [simplify]: iters left: 5 (70 enodes) 532.133 * * [simplify]: iters left: 4 (127 enodes) 532.155 * * [simplify]: iters left: 3 (237 enodes) 532.252 * * [simplify]: iters left: 2 (453 enodes) 532.560 * * [simplify]: Extracting #0: cost 1 inf + 0 532.560 * * [simplify]: Extracting #1: cost 51 inf + 0 532.561 * * [simplify]: Extracting #2: cost 118 inf + 1 532.562 * * [simplify]: Extracting #3: cost 138 inf + 371 532.564 * * [simplify]: Extracting #4: cost 147 inf + 1150 532.569 * * [simplify]: Extracting #5: cost 134 inf + 2690 532.579 * * [simplify]: Extracting #6: cost 57 inf + 32808 532.600 * * [simplify]: Extracting #7: cost 4 inf + 57590 532.613 * * [simplify]: Extracting #8: cost 0 inf + 59966 532.627 * [simplify]: Simplified to (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 532.628 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 532.628 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 532.629 * * [simplify]: iters left: 6 (18 enodes) 532.638 * * [simplify]: iters left: 5 (65 enodes) 532.656 * * [simplify]: iters left: 4 (115 enodes) 532.675 * * [simplify]: iters left: 3 (190 enodes) 532.729 * * [simplify]: iters left: 2 (281 enodes) 532.826 * * [simplify]: iters left: 1 (431 enodes) 532.963 * * [simplify]: Extracting #0: cost 1 inf + 0 532.963 * * [simplify]: Extracting #1: cost 24 inf + 0 532.963 * * [simplify]: Extracting #2: cost 46 inf + 1 532.963 * * [simplify]: Extracting #3: cost 63 inf + 43 532.964 * * [simplify]: Extracting #4: cost 82 inf + 84 532.964 * * [simplify]: Extracting #5: cost 70 inf + 1339 532.966 * * [simplify]: Extracting #6: cost 33 inf + 12986 532.971 * * [simplify]: Extracting #7: cost 7 inf + 22390 532.981 * * [simplify]: Extracting #8: cost 2 inf + 24263 532.993 * * [simplify]: Extracting #9: cost 0 inf + 24867 533.005 * [simplify]: Simplified to (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 533.005 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 (sqrt a1))) (/ (/ (* (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (sqrt a1)) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 533.005 * * * * [progress]: [ 719 / 4148 ] simplifiying candidate # 533.006 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 1)) 533.006 * * [simplify]: iters left: 6 (18 enodes) 533.015 * * [simplify]: iters left: 5 (63 enodes) 533.039 * * [simplify]: iters left: 4 (104 enodes) 533.057 * * [simplify]: iters left: 3 (176 enodes) 533.104 * * [simplify]: iters left: 2 (262 enodes) 533.171 * * [simplify]: iters left: 1 (348 enodes) 533.288 * * [simplify]: Extracting #0: cost 1 inf + 0 533.289 * * [simplify]: Extracting #1: cost 12 inf + 0 533.289 * * [simplify]: Extracting #2: cost 22 inf + 1 533.289 * * [simplify]: Extracting #3: cost 42 inf + 1 533.289 * * [simplify]: Extracting #4: cost 60 inf + 2 533.290 * * [simplify]: Extracting #5: cost 50 inf + 1177 533.292 * * [simplify]: Extracting #6: cost 13 inf + 11726 533.296 * * [simplify]: Extracting #7: cost 0 inf + 15818 533.300 * [simplify]: Simplified to (* (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2))))) 533.300 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 533.300 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 533.300 * * [simplify]: iters left: 6 (17 enodes) 533.305 * * [simplify]: iters left: 5 (62 enodes) 533.327 * * [simplify]: iters left: 4 (112 enodes) 533.364 * * [simplify]: iters left: 3 (187 enodes) 533.429 * * [simplify]: iters left: 2 (271 enodes) 533.519 * * [simplify]: iters left: 1 (425 enodes) 533.718 * * [simplify]: Extracting #0: cost 1 inf + 0 533.718 * * [simplify]: Extracting #1: cost 24 inf + 0 533.718 * * [simplify]: Extracting #2: cost 42 inf + 2 533.719 * * [simplify]: Extracting #3: cost 61 inf + 2 533.720 * * [simplify]: Extracting #4: cost 81 inf + 2 533.720 * * [simplify]: Extracting #5: cost 72 inf + 834 533.724 * * [simplify]: Extracting #6: cost 37 inf + 10173 533.732 * * [simplify]: Extracting #7: cost 5 inf + 21811 533.743 * * [simplify]: Extracting #8: cost 0 inf + 23402 533.750 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 533.750 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 1)) (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 533.751 * * * * [progress]: [ 720 / 4148 ] simplifiying candidate # 533.751 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 1) 533.751 * * [simplify]: iters left: 6 (17 enodes) 533.755 * * [simplify]: iters left: 5 (60 enodes) 533.767 * * [simplify]: iters left: 4 (103 enodes) 533.796 * * [simplify]: iters left: 3 (180 enodes) 533.843 * * [simplify]: iters left: 2 (263 enodes) 533.917 * * [simplify]: iters left: 1 (354 enodes) 534.030 * * [simplify]: Extracting #0: cost 1 inf + 0 534.030 * * [simplify]: Extracting #1: cost 12 inf + 0 534.030 * * [simplify]: Extracting #2: cost 22 inf + 1 534.030 * * [simplify]: Extracting #3: cost 42 inf + 1 534.031 * * [simplify]: Extracting #4: cost 60 inf + 2 534.032 * * [simplify]: Extracting #5: cost 47 inf + 1479 534.034 * * [simplify]: Extracting #6: cost 24 inf + 6368 534.039 * * [simplify]: Extracting #7: cost 6 inf + 12879 534.050 * * [simplify]: Extracting #8: cost 0 inf + 15818 534.058 * [simplify]: Simplified to (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 534.059 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 534.059 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 534.059 * * [simplify]: iters left: 6 (17 enodes) 534.069 * * [simplify]: iters left: 5 (62 enodes) 534.085 * * [simplify]: iters left: 4 (112 enodes) 534.105 * * [simplify]: iters left: 3 (187 enodes) 534.144 * * [simplify]: iters left: 2 (271 enodes) 534.238 * * [simplify]: iters left: 1 (425 enodes) 534.379 * * [simplify]: Extracting #0: cost 1 inf + 0 534.379 * * [simplify]: Extracting #1: cost 24 inf + 0 534.380 * * [simplify]: Extracting #2: cost 42 inf + 2 534.381 * * [simplify]: Extracting #3: cost 61 inf + 2 534.381 * * [simplify]: Extracting #4: cost 81 inf + 2 534.381 * * [simplify]: Extracting #5: cost 72 inf + 834 534.383 * * [simplify]: Extracting #6: cost 37 inf + 10173 534.387 * * [simplify]: Extracting #7: cost 5 inf + 21811 534.394 * * [simplify]: Extracting #8: cost 0 inf + 23402 534.400 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) 534.400 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) 1) (/ (/ (* (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 534.400 * * * * [progress]: [ 721 / 4148 ] simplifiying candidate # 534.400 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (cbrt (cbrt (sqrt 2)))) 534.400 * * [simplify]: iters left: 6 (17 enodes) 534.405 * * [simplify]: iters left: 5 (62 enodes) 534.421 * * [simplify]: iters left: 4 (103 enodes) 534.455 * * [simplify]: iters left: 3 (172 enodes) 534.494 * * [simplify]: iters left: 2 (244 enodes) 534.550 * * [simplify]: iters left: 1 (349 enodes) 534.707 * * [simplify]: Extracting #0: cost 1 inf + 0 534.707 * * [simplify]: Extracting #1: cost 18 inf + 0 534.707 * * [simplify]: Extracting #2: cost 32 inf + 1 534.708 * * [simplify]: Extracting #3: cost 52 inf + 1 534.708 * * [simplify]: Extracting #4: cost 71 inf + 2 534.709 * * [simplify]: Extracting #5: cost 61 inf + 952 534.713 * * [simplify]: Extracting #6: cost 23 inf + 11940 534.723 * * [simplify]: Extracting #7: cost 1 inf + 19956 534.732 * * [simplify]: Extracting #8: cost 0 inf + 20499 534.743 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) 534.743 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 534.743 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (cbrt (cbrt (sqrt 2))) 1)) (/ 1 a1)) 534.744 * * [simplify]: iters left: 6 (17 enodes) 534.752 * * [simplify]: iters left: 5 (62 enodes) 534.775 * * [simplify]: iters left: 4 (107 enodes) 534.812 * * [simplify]: iters left: 3 (177 enodes) 534.871 * * [simplify]: iters left: 2 (263 enodes) 534.989 * * [simplify]: iters left: 1 (438 enodes) 535.203 * * [simplify]: Extracting #0: cost 1 inf + 0 535.203 * * [simplify]: Extracting #1: cost 16 inf + 0 535.203 * * [simplify]: Extracting #2: cost 27 inf + 44 535.204 * * [simplify]: Extracting #3: cost 45 inf + 86 535.204 * * [simplify]: Extracting #4: cost 64 inf + 86 535.205 * * [simplify]: Extracting #5: cost 55 inf + 1018 535.208 * * [simplify]: Extracting #6: cost 16 inf + 11689 535.218 * * [simplify]: Extracting #7: cost 1 inf + 16668 535.226 * * [simplify]: Extracting #8: cost 0 inf + 16870 535.233 * [simplify]: Simplified to (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) a1) (cbrt (cbrt (sqrt 2)))) 535.234 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (/ (cbrt (cbrt (sqrt 2))) 1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) a1) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 535.234 * * * * [progress]: [ 722 / 4148 ] simplifiying candidate # 535.234 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 535.235 * * [simplify]: iters left: 6 (19 enodes) 535.243 * * [simplify]: iters left: 5 (68 enodes) 535.263 * * [simplify]: iters left: 4 (124 enodes) 535.302 * * [simplify]: iters left: 3 (216 enodes) 535.370 * * [simplify]: iters left: 2 (313 enodes) 535.469 * * [simplify]: iters left: 1 (376 enodes) 535.556 * * [simplify]: Extracting #0: cost 1 inf + 0 535.556 * * [simplify]: Extracting #1: cost 13 inf + 0 535.556 * * [simplify]: Extracting #2: cost 24 inf + 1 535.556 * * [simplify]: Extracting #3: cost 45 inf + 1 535.556 * * [simplify]: Extracting #4: cost 65 inf + 2 535.557 * * [simplify]: Extracting #5: cost 65 inf + 64 535.557 * * [simplify]: Extracting #6: cost 52 inf + 2045 535.559 * * [simplify]: Extracting #7: cost 20 inf + 10718 535.563 * * [simplify]: Extracting #8: cost 1 inf + 19409 535.571 * * [simplify]: Extracting #9: cost 0 inf + 20072 535.580 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 535.580 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 535.580 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 535.581 * * [simplify]: iters left: 6 (19 enodes) 535.590 * * [simplify]: iters left: 5 (68 enodes) 535.614 * * [simplify]: iters left: 4 (119 enodes) 535.657 * * [simplify]: iters left: 3 (204 enodes) 535.728 * * [simplify]: iters left: 2 (317 enodes) 535.832 * * [simplify]: Extracting #0: cost 1 inf + 0 535.832 * * [simplify]: Extracting #1: cost 29 inf + 0 535.833 * * [simplify]: Extracting #2: cost 51 inf + 1 535.833 * * [simplify]: Extracting #3: cost 79 inf + 1 535.834 * * [simplify]: Extracting #4: cost 97 inf + 2 535.838 * * [simplify]: Extracting #5: cost 87 inf + 916 535.841 * * [simplify]: Extracting #6: cost 45 inf + 11206 535.849 * * [simplify]: Extracting #7: cost 19 inf + 22175 535.862 * * [simplify]: Extracting #8: cost 1 inf + 31427 535.877 * * [simplify]: Extracting #9: cost 0 inf + 31789 535.891 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 535.892 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 535.892 * * * * [progress]: [ 723 / 4148 ] simplifiying candidate # 535.892 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 535.893 * * [simplify]: iters left: 6 (18 enodes) 535.902 * * [simplify]: iters left: 5 (63 enodes) 535.922 * * [simplify]: iters left: 4 (108 enodes) 535.940 * * [simplify]: iters left: 3 (177 enodes) 535.988 * * [simplify]: iters left: 2 (239 enodes) 536.055 * * [simplify]: iters left: 1 (296 enodes) 536.153 * * [simplify]: Extracting #0: cost 1 inf + 0 536.153 * * [simplify]: Extracting #1: cost 9 inf + 0 536.153 * * [simplify]: Extracting #2: cost 16 inf + 1 536.153 * * [simplify]: Extracting #3: cost 37 inf + 1 536.154 * * [simplify]: Extracting #4: cost 57 inf + 2 536.154 * * [simplify]: Extracting #5: cost 57 inf + 64 536.155 * * [simplify]: Extracting #6: cost 36 inf + 3780 536.159 * * [simplify]: Extracting #7: cost 10 inf + 10861 536.165 * * [simplify]: Extracting #8: cost 0 inf + 15050 536.171 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 536.171 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 536.172 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 536.172 * * [simplify]: iters left: 6 (19 enodes) 536.182 * * [simplify]: iters left: 5 (68 enodes) 536.204 * * [simplify]: iters left: 4 (119 enodes) 536.224 * * [simplify]: iters left: 3 (204 enodes) 536.277 * * [simplify]: iters left: 2 (317 enodes) 536.368 * * [simplify]: Extracting #0: cost 1 inf + 0 536.368 * * [simplify]: Extracting #1: cost 29 inf + 0 536.368 * * [simplify]: Extracting #2: cost 51 inf + 1 536.369 * * [simplify]: Extracting #3: cost 79 inf + 1 536.369 * * [simplify]: Extracting #4: cost 97 inf + 2 536.370 * * [simplify]: Extracting #5: cost 87 inf + 916 536.373 * * [simplify]: Extracting #6: cost 45 inf + 11206 536.380 * * [simplify]: Extracting #7: cost 19 inf + 21735 536.393 * * [simplify]: Extracting #8: cost 1 inf + 30307 536.408 * * [simplify]: Extracting #9: cost 0 inf + 30629 536.422 * [simplify]: Simplified to (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 536.422 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 536.423 * * * * [progress]: [ 724 / 4148 ] simplifiying candidate # 536.423 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 536.423 * * [simplify]: iters left: 6 (20 enodes) 536.436 * * [simplify]: iters left: 5 (73 enodes) 536.459 * * [simplify]: iters left: 4 (138 enodes) 536.485 * * [simplify]: iters left: 3 (267 enodes) 536.585 * * [simplify]: Extracting #0: cost 1 inf + 0 536.586 * * [simplify]: Extracting #1: cost 45 inf + 0 536.586 * * [simplify]: Extracting #2: cost 90 inf + 1 536.587 * * [simplify]: Extracting #3: cost 104 inf + 83 536.588 * * [simplify]: Extracting #4: cost 114 inf + 1178 536.589 * * [simplify]: Extracting #5: cost 113 inf + 1565 536.591 * * [simplify]: Extracting #6: cost 103 inf + 3001 536.597 * * [simplify]: Extracting #7: cost 39 inf + 28934 536.613 * * [simplify]: Extracting #8: cost 3 inf + 51241 536.624 * * [simplify]: Extracting #9: cost 0 inf + 53309 536.641 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) 536.641 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 536.642 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 536.642 * * [simplify]: iters left: 6 (20 enodes) 536.656 * * [simplify]: iters left: 5 (73 enodes) 536.671 * * [simplify]: iters left: 4 (132 enodes) 536.701 * * [simplify]: iters left: 3 (259 enodes) 536.781 * * [simplify]: iters left: 2 (484 enodes) 537.002 * * [simplify]: Extracting #0: cost 1 inf + 0 537.002 * * [simplify]: Extracting #1: cost 57 inf + 0 537.002 * * [simplify]: Extracting #2: cost 118 inf + 1 537.003 * * [simplify]: Extracting #3: cost 143 inf + 2 537.004 * * [simplify]: Extracting #4: cost 160 inf + 164 537.004 * * [simplify]: Extracting #5: cost 152 inf + 874 537.010 * * [simplify]: Extracting #6: cost 77 inf + 27024 537.025 * * [simplify]: Extracting #7: cost 3 inf + 65906 537.052 * * [simplify]: Extracting #8: cost 0 inf + 67875 537.067 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 537.067 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 537.068 * * * * [progress]: [ 725 / 4148 ] simplifiying candidate # 537.068 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 537.068 * * [simplify]: iters left: 6 (19 enodes) 537.073 * * [simplify]: iters left: 5 (68 enodes) 537.088 * * [simplify]: iters left: 4 (125 enodes) 537.134 * * [simplify]: iters left: 3 (226 enodes) 537.200 * * [simplify]: iters left: 2 (381 enodes) 537.363 * * [simplify]: Extracting #0: cost 1 inf + 0 537.363 * * [simplify]: Extracting #1: cost 28 inf + 0 537.363 * * [simplify]: Extracting #2: cost 49 inf + 1 537.364 * * [simplify]: Extracting #3: cost 73 inf + 43 537.365 * * [simplify]: Extracting #4: cost 89 inf + 248 537.366 * * [simplify]: Extracting #5: cost 85 inf + 697 537.367 * * [simplify]: Extracting #6: cost 79 inf + 1385 537.372 * * [simplify]: Extracting #7: cost 29 inf + 17544 537.385 * * [simplify]: Extracting #8: cost 0 inf + 31113 537.400 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 537.400 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 537.400 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 537.401 * * [simplify]: iters left: 6 (20 enodes) 537.410 * * [simplify]: iters left: 5 (73 enodes) 537.436 * * [simplify]: iters left: 4 (132 enodes) 537.483 * * [simplify]: iters left: 3 (259 enodes) 537.568 * * [simplify]: iters left: 2 (484 enodes) 537.831 * * [simplify]: Extracting #0: cost 1 inf + 0 537.832 * * [simplify]: Extracting #1: cost 57 inf + 0 537.832 * * [simplify]: Extracting #2: cost 118 inf + 1 537.833 * * [simplify]: Extracting #3: cost 143 inf + 2 537.833 * * [simplify]: Extracting #4: cost 160 inf + 84 537.834 * * [simplify]: Extracting #5: cost 152 inf + 794 537.838 * * [simplify]: Extracting #6: cost 77 inf + 26224 537.851 * * [simplify]: Extracting #7: cost 3 inf + 63586 537.866 * * [simplify]: Extracting #8: cost 0 inf + 65435 537.889 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 537.889 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 537.890 * * * * [progress]: [ 726 / 4148 ] simplifiying candidate # 537.890 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 537.891 * * [simplify]: iters left: 6 (18 enodes) 537.900 * * [simplify]: iters left: 5 (63 enodes) 537.923 * * [simplify]: iters left: 4 (110 enodes) 537.943 * * [simplify]: iters left: 3 (194 enodes) 538.010 * * [simplify]: iters left: 2 (289 enodes) 538.113 * * [simplify]: iters left: 1 (374 enodes) 538.241 * * [simplify]: Extracting #0: cost 1 inf + 0 538.241 * * [simplify]: Extracting #1: cost 12 inf + 0 538.241 * * [simplify]: Extracting #2: cost 22 inf + 1 538.241 * * [simplify]: Extracting #3: cost 42 inf + 1 538.242 * * [simplify]: Extracting #4: cost 60 inf + 2 538.242 * * [simplify]: Extracting #5: cost 60 inf + 64 538.243 * * [simplify]: Extracting #6: cost 45 inf + 2088 538.247 * * [simplify]: Extracting #7: cost 16 inf + 10558 538.255 * * [simplify]: Extracting #8: cost 2 inf + 16475 538.265 * * [simplify]: Extracting #9: cost 0 inf + 17420 538.274 * [simplify]: Simplified to (/ (* (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 538.274 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 538.275 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 538.275 * * [simplify]: iters left: 6 (19 enodes) 538.284 * * [simplify]: iters left: 5 (70 enodes) 538.309 * * [simplify]: iters left: 4 (129 enodes) 538.341 * * [simplify]: iters left: 3 (256 enodes) 538.435 * * [simplify]: iters left: 2 (468 enodes) 538.700 * * [simplify]: Extracting #0: cost 1 inf + 0 538.700 * * [simplify]: Extracting #1: cost 59 inf + 0 538.701 * * [simplify]: Extracting #2: cost 118 inf + 2 538.702 * * [simplify]: Extracting #3: cost 144 inf + 2 538.704 * * [simplify]: Extracting #4: cost 163 inf + 2 538.706 * * [simplify]: Extracting #5: cost 147 inf + 2026 538.712 * * [simplify]: Extracting #6: cost 87 inf + 22604 538.728 * * [simplify]: Extracting #7: cost 7 inf + 58835 538.743 * * [simplify]: Extracting #8: cost 0 inf + 62877 538.770 * [simplify]: Simplified to (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 538.770 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 538.770 * * * * [progress]: [ 727 / 4148 ] simplifiying candidate # 538.771 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 538.771 * * [simplify]: iters left: 6 (23 enodes) 538.783 * * [simplify]: iters left: 5 (83 enodes) 538.810 * * [simplify]: iters left: 4 (148 enodes) 538.846 * * [simplify]: iters left: 3 (277 enodes) 538.935 * * [simplify]: Extracting #0: cost 1 inf + 0 538.935 * * [simplify]: Extracting #1: cost 44 inf + 0 538.935 * * [simplify]: Extracting #2: cost 89 inf + 1 538.936 * * [simplify]: Extracting #3: cost 105 inf + 2 538.937 * * [simplify]: Extracting #4: cost 119 inf + 975 538.938 * * [simplify]: Extracting #5: cost 118 inf + 1606 538.939 * * [simplify]: Extracting #6: cost 109 inf + 2818 538.945 * * [simplify]: Extracting #7: cost 60 inf + 19386 538.955 * * [simplify]: Extracting #8: cost 33 inf + 33301 538.975 * * [simplify]: Extracting #9: cost 1 inf + 55789 539.000 * * [simplify]: Extracting #10: cost 0 inf + 56692 539.022 * [simplify]: Simplified to (/ (* (* (cbrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (* (cbrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)))) (cbrt (cbrt (fabs (cbrt 2))))) 539.022 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (* (cbrt a1) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 539.022 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 539.023 * * [simplify]: iters left: 6 (23 enodes) 539.034 * * [simplify]: iters left: 5 (82 enodes) 539.064 * * [simplify]: iters left: 4 (141 enodes) 539.098 * * [simplify]: iters left: 3 (268 enodes) 539.185 * * [simplify]: iters left: 2 (495 enodes) 539.382 * * [simplify]: Extracting #0: cost 1 inf + 0 539.383 * * [simplify]: Extracting #1: cost 60 inf + 0 539.383 * * [simplify]: Extracting #2: cost 125 inf + 1 539.384 * * [simplify]: Extracting #3: cost 150 inf + 164 539.384 * * [simplify]: Extracting #4: cost 171 inf + 164 539.385 * * [simplify]: Extracting #5: cost 164 inf + 654 539.387 * * [simplify]: Extracting #6: cost 125 inf + 9371 539.391 * * [simplify]: Extracting #7: cost 82 inf + 26539 539.406 * * [simplify]: Extracting #8: cost 52 inf + 46176 539.430 * * [simplify]: Extracting #9: cost 4 inf + 81023 539.447 * * [simplify]: Extracting #10: cost 0 inf + 83633 539.467 * [simplify]: Simplified to (* (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) 539.467 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (* (/ (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 539.467 * * * * [progress]: [ 728 / 4148 ] simplifiying candidate # 539.467 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 539.468 * * [simplify]: iters left: 6 (22 enodes) 539.477 * * [simplify]: iters left: 5 (78 enodes) 539.503 * * [simplify]: iters left: 4 (135 enodes) 539.550 * * [simplify]: iters left: 3 (237 enodes) 539.597 * * [simplify]: iters left: 2 (396 enodes) 539.749 * * [simplify]: Extracting #0: cost 1 inf + 0 539.750 * * [simplify]: Extracting #1: cost 28 inf + 0 539.750 * * [simplify]: Extracting #2: cost 49 inf + 1 539.750 * * [simplify]: Extracting #3: cost 75 inf + 2 539.750 * * [simplify]: Extracting #4: cost 92 inf + 370 539.751 * * [simplify]: Extracting #5: cost 93 inf + 534 539.751 * * [simplify]: Extracting #6: cost 84 inf + 1667 539.754 * * [simplify]: Extracting #7: cost 37 inf + 14261 539.758 * * [simplify]: Extracting #8: cost 15 inf + 23254 539.766 * * [simplify]: Extracting #9: cost 0 inf + 33239 539.773 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) 539.773 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (sqrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 539.773 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 539.774 * * [simplify]: iters left: 6 (23 enodes) 539.781 * * [simplify]: iters left: 5 (82 enodes) 539.810 * * [simplify]: iters left: 4 (141 enodes) 539.835 * * [simplify]: iters left: 3 (268 enodes) 539.906 * * [simplify]: iters left: 2 (495 enodes) 540.179 * * [simplify]: Extracting #0: cost 1 inf + 0 540.179 * * [simplify]: Extracting #1: cost 60 inf + 0 540.179 * * [simplify]: Extracting #2: cost 125 inf + 1 540.180 * * [simplify]: Extracting #3: cost 150 inf + 84 540.181 * * [simplify]: Extracting #4: cost 171 inf + 84 540.182 * * [simplify]: Extracting #5: cost 164 inf + 574 540.183 * * [simplify]: Extracting #6: cost 125 inf + 9091 540.187 * * [simplify]: Extracting #7: cost 82 inf + 25579 540.196 * * [simplify]: Extracting #8: cost 52 inf + 44616 540.212 * * [simplify]: Extracting #9: cost 4 inf + 78583 540.229 * * [simplify]: Extracting #10: cost 0 inf + 81113 540.248 * [simplify]: Simplified to (* (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) 540.248 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (* (/ (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (cbrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 540.248 * * * * [progress]: [ 729 / 4148 ] simplifiying candidate # 540.252 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 540.252 * * [simplify]: iters left: 6 (21 enodes) 540.263 * * [simplify]: iters left: 5 (73 enodes) 540.288 * * [simplify]: iters left: 4 (120 enodes) 540.330 * * [simplify]: iters left: 3 (204 enodes) 540.375 * * [simplify]: iters left: 2 (296 enodes) 540.456 * * [simplify]: iters left: 1 (393 enodes) 540.571 * * [simplify]: Extracting #0: cost 1 inf + 0 540.571 * * [simplify]: Extracting #1: cost 12 inf + 0 540.571 * * [simplify]: Extracting #2: cost 22 inf + 1 540.571 * * [simplify]: Extracting #3: cost 43 inf + 1 540.571 * * [simplify]: Extracting #4: cost 65 inf + 2 540.572 * * [simplify]: Extracting #5: cost 67 inf + 64 540.572 * * [simplify]: Extracting #6: cost 48 inf + 2532 540.574 * * [simplify]: Extracting #7: cost 19 inf + 9819 540.581 * * [simplify]: Extracting #8: cost 3 inf + 17078 540.588 * * [simplify]: Extracting #9: cost 0 inf + 18988 540.592 * [simplify]: Simplified to (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (fabs (cbrt 2))))) 540.592 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 540.593 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 540.593 * * [simplify]: iters left: 6 (22 enodes) 540.598 * * [simplify]: iters left: 5 (79 enodes) 540.613 * * [simplify]: iters left: 4 (138 enodes) 540.655 * * [simplify]: iters left: 3 (265 enodes) 540.713 * * [simplify]: iters left: 2 (482 enodes) 540.992 * * [simplify]: Extracting #0: cost 1 inf + 0 540.993 * * [simplify]: Extracting #1: cost 59 inf + 0 540.994 * * [simplify]: Extracting #2: cost 119 inf + 2 540.995 * * [simplify]: Extracting #3: cost 147 inf + 2 540.997 * * [simplify]: Extracting #4: cost 168 inf + 2 540.998 * * [simplify]: Extracting #5: cost 159 inf + 814 541.004 * * [simplify]: Extracting #6: cost 101 inf + 17524 541.015 * * [simplify]: Extracting #7: cost 68 inf + 29550 541.034 * * [simplify]: Extracting #8: cost 48 inf + 41474 541.059 * * [simplify]: Extracting #9: cost 12 inf + 66169 541.076 * * [simplify]: Extracting #10: cost 0 inf + 74163 541.099 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2))))) 541.099 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ a1 (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 541.100 * * * * [progress]: [ 730 / 4148 ] simplifiying candidate # 541.100 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 541.100 * * [simplify]: iters left: 6 (21 enodes) 541.111 * * [simplify]: iters left: 5 (76 enodes) 541.127 * * [simplify]: iters left: 4 (141 enodes) 541.155 * * [simplify]: iters left: 3 (270 enodes) 541.232 * * [simplify]: Extracting #0: cost 1 inf + 0 541.233 * * [simplify]: Extracting #1: cost 44 inf + 0 541.233 * * [simplify]: Extracting #2: cost 89 inf + 1 541.234 * * [simplify]: Extracting #3: cost 104 inf + 83 541.234 * * [simplify]: Extracting #4: cost 116 inf + 1219 541.235 * * [simplify]: Extracting #5: cost 114 inf + 1667 541.237 * * [simplify]: Extracting #6: cost 105 inf + 3082 541.243 * * [simplify]: Extracting #7: cost 38 inf + 30216 541.260 * * [simplify]: Extracting #8: cost 2 inf + 51944 541.280 * * [simplify]: Extracting #9: cost 0 inf + 53310 541.300 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 541.300 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 541.301 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 541.301 * * [simplify]: iters left: 6 (22 enodes) 541.312 * * [simplify]: iters left: 5 (79 enodes) 541.331 * * [simplify]: iters left: 4 (138 enodes) 541.357 * * [simplify]: iters left: 3 (265 enodes) 541.472 * * [simplify]: iters left: 2 (492 enodes) 541.775 * * [simplify]: Extracting #0: cost 1 inf + 0 541.775 * * [simplify]: Extracting #1: cost 56 inf + 0 541.776 * * [simplify]: Extracting #2: cost 118 inf + 1 541.777 * * [simplify]: Extracting #3: cost 143 inf + 164 541.778 * * [simplify]: Extracting #4: cost 163 inf + 164 541.779 * * [simplify]: Extracting #5: cost 153 inf + 1177 541.783 * * [simplify]: Extracting #6: cost 78 inf + 29209 541.797 * * [simplify]: Extracting #7: cost 9 inf + 68129 541.821 * * [simplify]: Extracting #8: cost 0 inf + 73314 541.858 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 541.858 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 541.859 * * * * [progress]: [ 731 / 4148 ] simplifiying candidate # 541.859 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 541.859 * * [simplify]: iters left: 6 (20 enodes) 541.870 * * [simplify]: iters left: 5 (71 enodes) 541.895 * * [simplify]: iters left: 4 (128 enodes) 541.939 * * [simplify]: iters left: 3 (229 enodes) 542.007 * * [simplify]: iters left: 2 (381 enodes) 542.121 * * [simplify]: Extracting #0: cost 1 inf + 0 542.121 * * [simplify]: Extracting #1: cost 28 inf + 0 542.121 * * [simplify]: Extracting #2: cost 49 inf + 1 542.121 * * [simplify]: Extracting #3: cost 74 inf + 43 542.122 * * [simplify]: Extracting #4: cost 91 inf + 248 542.122 * * [simplify]: Extracting #5: cost 87 inf + 697 542.123 * * [simplify]: Extracting #6: cost 78 inf + 1910 542.125 * * [simplify]: Extracting #7: cost 28 inf + 17548 542.131 * * [simplify]: Extracting #8: cost 0 inf + 31035 542.146 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) 542.146 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 542.147 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 542.147 * * [simplify]: iters left: 6 (22 enodes) 542.158 * * [simplify]: iters left: 5 (79 enodes) 542.173 * * [simplify]: iters left: 4 (138 enodes) 542.213 * * [simplify]: iters left: 3 (265 enodes) 542.328 * * [simplify]: iters left: 2 (492 enodes) 542.588 * * [simplify]: Extracting #0: cost 1 inf + 0 542.588 * * [simplify]: Extracting #1: cost 56 inf + 0 542.588 * * [simplify]: Extracting #2: cost 118 inf + 1 542.589 * * [simplify]: Extracting #3: cost 143 inf + 84 542.589 * * [simplify]: Extracting #4: cost 163 inf + 84 542.591 * * [simplify]: Extracting #5: cost 153 inf + 1097 542.602 * * [simplify]: Extracting #6: cost 78 inf + 28249 542.630 * * [simplify]: Extracting #7: cost 9 inf + 65889 542.653 * * [simplify]: Extracting #8: cost 0 inf + 70914 542.669 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 542.669 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 542.670 * * * * [progress]: [ 732 / 4148 ] simplifiying candidate # 542.670 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 542.670 * * [simplify]: iters left: 6 (19 enodes) 542.676 * * [simplify]: iters left: 5 (66 enodes) 542.691 * * [simplify]: iters left: 4 (113 enodes) 542.716 * * [simplify]: iters left: 3 (197 enodes) 542.786 * * [simplify]: iters left: 2 (291 enodes) 542.886 * * [simplify]: iters left: 1 (382 enodes) 543.008 * * [simplify]: Extracting #0: cost 1 inf + 0 543.008 * * [simplify]: Extracting #1: cost 12 inf + 0 543.008 * * [simplify]: Extracting #2: cost 22 inf + 1 543.008 * * [simplify]: Extracting #3: cost 43 inf + 1 543.008 * * [simplify]: Extracting #4: cost 62 inf + 2 543.009 * * [simplify]: Extracting #5: cost 62 inf + 64 543.009 * * [simplify]: Extracting #6: cost 41 inf + 3199 543.011 * * [simplify]: Extracting #7: cost 11 inf + 11931 543.015 * * [simplify]: Extracting #8: cost 1 inf + 16759 543.020 * * [simplify]: Extracting #9: cost 0 inf + 17422 543.024 * [simplify]: Simplified to (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 543.024 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 543.025 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 543.025 * * [simplify]: iters left: 6 (21 enodes) 543.035 * * [simplify]: iters left: 5 (76 enodes) 543.058 * * [simplify]: iters left: 4 (135 enodes) 543.084 * * [simplify]: iters left: 3 (262 enodes) 543.154 * * [simplify]: iters left: 2 (478 enodes) 543.413 * * [simplify]: Extracting #0: cost 1 inf + 0 543.413 * * [simplify]: Extracting #1: cost 61 inf + 0 543.414 * * [simplify]: Extracting #2: cost 122 inf + 2 543.414 * * [simplify]: Extracting #3: cost 150 inf + 2 543.415 * * [simplify]: Extracting #4: cost 170 inf + 2 543.416 * * [simplify]: Extracting #5: cost 158 inf + 1260 543.419 * * [simplify]: Extracting #6: cost 89 inf + 23168 543.432 * * [simplify]: Extracting #7: cost 7 inf + 66891 543.464 * * [simplify]: Extracting #8: cost 0 inf + 70689 543.498 * [simplify]: Simplified to (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 543.498 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 543.499 * * * * [progress]: [ 733 / 4148 ] simplifiying candidate # 543.499 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 543.499 * * [simplify]: iters left: 6 (21 enodes) 543.513 * * [simplify]: iters left: 5 (76 enodes) 543.529 * * [simplify]: iters left: 4 (138 enodes) 543.563 * * [simplify]: iters left: 3 (259 enodes) 543.650 * * [simplify]: iters left: 2 (403 enodes) 543.775 * * [simplify]: Extracting #0: cost 1 inf + 0 543.775 * * [simplify]: Extracting #1: cost 23 inf + 0 543.775 * * [simplify]: Extracting #2: cost 37 inf + 1 543.775 * * [simplify]: Extracting #3: cost 60 inf + 83 543.776 * * [simplify]: Extracting #4: cost 75 inf + 569 543.776 * * [simplify]: Extracting #5: cost 72 inf + 1036 543.777 * * [simplify]: Extracting #6: cost 57 inf + 3180 543.779 * * [simplify]: Extracting #7: cost 20 inf + 15059 543.784 * * [simplify]: Extracting #8: cost 2 inf + 22779 543.789 * * [simplify]: Extracting #9: cost 0 inf + 23906 543.798 * [simplify]: Simplified to (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) 543.799 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 543.799 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 543.799 * * [simplify]: iters left: 6 (19 enodes) 543.809 * * [simplify]: iters left: 5 (70 enodes) 543.832 * * [simplify]: iters left: 4 (129 enodes) 543.854 * * [simplify]: iters left: 3 (248 enodes) 543.934 * * [simplify]: iters left: 2 (468 enodes) 544.165 * * [simplify]: Extracting #0: cost 1 inf + 0 544.165 * * [simplify]: Extracting #1: cost 40 inf + 0 544.165 * * [simplify]: Extracting #2: cost 75 inf + 1 544.166 * * [simplify]: Extracting #3: cost 128 inf + 85 544.168 * * [simplify]: Extracting #4: cost 179 inf + 209 544.171 * * [simplify]: Extracting #5: cost 105 inf + 18517 544.181 * * [simplify]: Extracting #6: cost 5 inf + 58501 544.197 * * [simplify]: Extracting #7: cost 0 inf + 61727 544.218 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 544.218 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt a1))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 544.218 * * * * [progress]: [ 734 / 4148 ] simplifiying candidate # 544.219 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 544.219 * * [simplify]: iters left: 6 (20 enodes) 544.232 * * [simplify]: iters left: 5 (71 enodes) 544.255 * * [simplify]: iters left: 4 (122 enodes) 544.289 * * [simplify]: iters left: 3 (197 enodes) 544.326 * * [simplify]: iters left: 2 (271 enodes) 544.427 * * [simplify]: iters left: 1 (342 enodes) 544.542 * * [simplify]: Extracting #0: cost 1 inf + 0 544.542 * * [simplify]: Extracting #1: cost 11 inf + 0 544.542 * * [simplify]: Extracting #2: cost 20 inf + 1 544.542 * * [simplify]: Extracting #3: cost 37 inf + 2 544.543 * * [simplify]: Extracting #4: cost 55 inf + 84 544.543 * * [simplify]: Extracting #5: cost 53 inf + 310 544.544 * * [simplify]: Extracting #6: cost 41 inf + 1689 544.547 * * [simplify]: Extracting #7: cost 13 inf + 9139 544.553 * * [simplify]: Extracting #8: cost 0 inf + 14136 544.559 * [simplify]: Simplified to (* (sqrt a1) (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))))) 544.559 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 544.560 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 544.560 * * [simplify]: iters left: 6 (19 enodes) 544.570 * * [simplify]: iters left: 5 (70 enodes) 544.595 * * [simplify]: iters left: 4 (129 enodes) 544.645 * * [simplify]: iters left: 3 (248 enodes) 544.742 * * [simplify]: iters left: 2 (468 enodes) 544.990 * * [simplify]: Extracting #0: cost 1 inf + 0 544.990 * * [simplify]: Extracting #1: cost 40 inf + 0 544.990 * * [simplify]: Extracting #2: cost 75 inf + 1 544.991 * * [simplify]: Extracting #3: cost 128 inf + 45 544.992 * * [simplify]: Extracting #4: cost 179 inf + 129 544.994 * * [simplify]: Extracting #5: cost 105 inf + 18157 545.004 * * [simplify]: Extracting #6: cost 5 inf + 57221 545.017 * * [simplify]: Extracting #7: cost 0 inf + 60247 545.038 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 545.038 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))) (cbrt (/ (cos th) (* (/ (cbrt (sqrt 2)) a1) (cbrt (sqrt 2))))))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 545.038 * * * * [progress]: [ 735 / 4148 ] simplifiying candidate # 545.039 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt 1))) 1)) 545.039 * * [simplify]: iters left: 6 (19 enodes) 545.045 * * [simplify]: iters left: 5 (66 enodes) 545.058 * * [simplify]: iters left: 4 (102 enodes) 545.085 * * [simplify]: iters left: 3 (159 enodes) 545.133 * * [simplify]: iters left: 2 (211 enodes) 545.677 * * [simplify]: iters left: 1 (282 enodes) 545.789 * * [simplify]: Extracting #0: cost 1 inf + 0 545.790 * * [simplify]: Extracting #1: cost 6 inf + 0 545.790 * * [simplify]: Extracting #2: cost 9 inf + 1 545.790 * * [simplify]: Extracting #3: cost 28 inf + 1 545.790 * * [simplify]: Extracting #4: cost 46 inf + 2 545.790 * * [simplify]: Extracting #5: cost 46 inf + 64 545.790 * * [simplify]: Extracting #6: cost 35 inf + 1281 545.792 * * [simplify]: Extracting #7: cost 8 inf + 7985 545.795 * * [simplify]: Extracting #8: cost 0 inf + 10748 545.801 * [simplify]: Simplified to (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) 545.801 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 545.801 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 545.802 * * [simplify]: iters left: 6 (18 enodes) 545.811 * * [simplify]: iters left: 5 (67 enodes) 545.834 * * [simplify]: iters left: 4 (126 enodes) 545.865 * * [simplify]: iters left: 3 (245 enodes) 545.931 * * [simplify]: iters left: 2 (451 enodes) 546.216 * * [simplify]: Extracting #0: cost 1 inf + 0 546.216 * * [simplify]: Extracting #1: cost 39 inf + 0 546.216 * * [simplify]: Extracting #2: cost 71 inf + 2 546.217 * * [simplify]: Extracting #3: cost 120 inf + 4 546.217 * * [simplify]: Extracting #4: cost 164 inf + 47 546.218 * * [simplify]: Extracting #5: cost 145 inf + 2598 546.223 * * [simplify]: Extracting #6: cost 51 inf + 33481 546.234 * * [simplify]: Extracting #7: cost 0 inf + 55016 546.246 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 546.246 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 546.247 * * * * [progress]: [ 736 / 4148 ] simplifiying candidate # 546.247 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 546.247 * * [simplify]: iters left: 6 (21 enodes) 546.252 * * [simplify]: iters left: 5 (76 enodes) 546.266 * * [simplify]: iters left: 4 (141 enodes) 546.296 * * [simplify]: iters left: 3 (270 enodes) 546.387 * * [simplify]: Extracting #0: cost 1 inf + 0 546.387 * * [simplify]: Extracting #1: cost 44 inf + 0 546.388 * * [simplify]: Extracting #2: cost 89 inf + 1 546.388 * * [simplify]: Extracting #3: cost 104 inf + 83 546.388 * * [simplify]: Extracting #4: cost 116 inf + 1219 546.389 * * [simplify]: Extracting #5: cost 114 inf + 1667 546.390 * * [simplify]: Extracting #6: cost 105 inf + 3082 546.394 * * [simplify]: Extracting #7: cost 38 inf + 30216 546.403 * * [simplify]: Extracting #8: cost 2 inf + 51944 546.417 * * [simplify]: Extracting #9: cost 0 inf + 53310 546.433 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) 546.433 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 546.434 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 546.434 * * [simplify]: iters left: 6 (22 enodes) 546.439 * * [simplify]: iters left: 5 (79 enodes) 546.453 * * [simplify]: iters left: 4 (138 enodes) 546.491 * * [simplify]: iters left: 3 (265 enodes) 546.554 * * [simplify]: iters left: 2 (492 enodes) 546.796 * * [simplify]: Extracting #0: cost 1 inf + 0 546.796 * * [simplify]: Extracting #1: cost 56 inf + 0 546.796 * * [simplify]: Extracting #2: cost 118 inf + 1 546.797 * * [simplify]: Extracting #3: cost 143 inf + 164 546.798 * * [simplify]: Extracting #4: cost 163 inf + 164 546.799 * * [simplify]: Extracting #5: cost 153 inf + 1177 546.803 * * [simplify]: Extracting #6: cost 78 inf + 29209 546.817 * * [simplify]: Extracting #7: cost 9 inf + 68129 546.835 * * [simplify]: Extracting #8: cost 0 inf + 73314 546.863 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 546.863 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 546.864 * * * * [progress]: [ 737 / 4148 ] simplifiying candidate # 546.864 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 546.864 * * [simplify]: iters left: 6 (20 enodes) 546.874 * * [simplify]: iters left: 5 (71 enodes) 546.899 * * [simplify]: iters left: 4 (128 enodes) 546.928 * * [simplify]: iters left: 3 (229 enodes) 547.003 * * [simplify]: iters left: 2 (381 enodes) 547.141 * * [simplify]: Extracting #0: cost 1 inf + 0 547.141 * * [simplify]: Extracting #1: cost 28 inf + 0 547.142 * * [simplify]: Extracting #2: cost 49 inf + 1 547.142 * * [simplify]: Extracting #3: cost 74 inf + 43 547.143 * * [simplify]: Extracting #4: cost 91 inf + 248 547.144 * * [simplify]: Extracting #5: cost 87 inf + 697 547.145 * * [simplify]: Extracting #6: cost 78 inf + 1910 547.150 * * [simplify]: Extracting #7: cost 28 inf + 17548 547.162 * * [simplify]: Extracting #8: cost 0 inf + 31035 547.170 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) 547.170 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 547.170 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 547.171 * * [simplify]: iters left: 6 (22 enodes) 547.176 * * [simplify]: iters left: 5 (79 enodes) 547.192 * * [simplify]: iters left: 4 (138 enodes) 547.241 * * [simplify]: iters left: 3 (265 enodes) 547.329 * * [simplify]: iters left: 2 (492 enodes) 547.568 * * [simplify]: Extracting #0: cost 1 inf + 0 547.568 * * [simplify]: Extracting #1: cost 56 inf + 0 547.569 * * [simplify]: Extracting #2: cost 118 inf + 1 547.569 * * [simplify]: Extracting #3: cost 143 inf + 84 547.570 * * [simplify]: Extracting #4: cost 163 inf + 84 547.574 * * [simplify]: Extracting #5: cost 153 inf + 1097 547.579 * * [simplify]: Extracting #6: cost 78 inf + 28249 547.593 * * [simplify]: Extracting #7: cost 9 inf + 65889 547.621 * * [simplify]: Extracting #8: cost 0 inf + 70914 547.638 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 547.638 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (/ (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 547.638 * * * * [progress]: [ 738 / 4148 ] simplifiying candidate # 547.639 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 547.639 * * [simplify]: iters left: 6 (19 enodes) 547.644 * * [simplify]: iters left: 5 (66 enodes) 547.656 * * [simplify]: iters left: 4 (113 enodes) 547.679 * * [simplify]: iters left: 3 (197 enodes) 547.746 * * [simplify]: iters left: 2 (291 enodes) 547.846 * * [simplify]: iters left: 1 (382 enodes) 547.964 * * [simplify]: Extracting #0: cost 1 inf + 0 547.964 * * [simplify]: Extracting #1: cost 12 inf + 0 547.964 * * [simplify]: Extracting #2: cost 22 inf + 1 547.964 * * [simplify]: Extracting #3: cost 43 inf + 1 547.965 * * [simplify]: Extracting #4: cost 62 inf + 2 547.965 * * [simplify]: Extracting #5: cost 62 inf + 64 547.966 * * [simplify]: Extracting #6: cost 41 inf + 3199 547.971 * * [simplify]: Extracting #7: cost 11 inf + 11931 547.979 * * [simplify]: Extracting #8: cost 1 inf + 16759 547.987 * * [simplify]: Extracting #9: cost 0 inf + 17422 547.997 * [simplify]: Simplified to (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 547.997 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 547.997 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 547.998 * * [simplify]: iters left: 6 (21 enodes) 548.008 * * [simplify]: iters left: 5 (76 enodes) 548.022 * * [simplify]: iters left: 4 (135 enodes) 548.053 * * [simplify]: iters left: 3 (262 enodes) 548.135 * * [simplify]: iters left: 2 (478 enodes) 548.370 * * [simplify]: Extracting #0: cost 1 inf + 0 548.370 * * [simplify]: Extracting #1: cost 61 inf + 0 548.371 * * [simplify]: Extracting #2: cost 122 inf + 2 548.371 * * [simplify]: Extracting #3: cost 150 inf + 2 548.372 * * [simplify]: Extracting #4: cost 170 inf + 2 548.373 * * [simplify]: Extracting #5: cost 158 inf + 1260 548.376 * * [simplify]: Extracting #6: cost 89 inf + 23168 548.397 * * [simplify]: Extracting #7: cost 7 inf + 66891 548.429 * * [simplify]: Extracting #8: cost 0 inf + 70689 548.458 * [simplify]: Simplified to (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2))))) 548.458 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (/ (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1) (cbrt (cbrt (sqrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 548.458 * * * * [progress]: [ 739 / 4148 ] simplifiying candidate # 548.458 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 548.458 * * [simplify]: iters left: 6 (20 enodes) 548.466 * * [simplify]: iters left: 5 (73 enodes) 548.482 * * [simplify]: iters left: 4 (135 enodes) 548.530 * * [simplify]: iters left: 3 (256 enodes) 548.606 * * [simplify]: iters left: 2 (398 enodes) 548.719 * * [simplify]: Extracting #0: cost 1 inf + 0 548.720 * * [simplify]: Extracting #1: cost 22 inf + 0 548.720 * * [simplify]: Extracting #2: cost 36 inf + 1 548.720 * * [simplify]: Extracting #3: cost 59 inf + 83 548.721 * * [simplify]: Extracting #4: cost 75 inf + 407 548.722 * * [simplify]: Extracting #5: cost 71 inf + 1036 548.723 * * [simplify]: Extracting #6: cost 67 inf + 1302 548.724 * * [simplify]: Extracting #7: cost 60 inf + 2413 548.728 * * [simplify]: Extracting #8: cost 16 inf + 15428 548.737 * * [simplify]: Extracting #9: cost 2 inf + 22315 548.747 * * [simplify]: Extracting #10: cost 0 inf + 23362 548.757 * [simplify]: Simplified to (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) 548.757 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 548.758 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 548.759 * * [simplify]: iters left: 6 (19 enodes) 548.771 * * [simplify]: iters left: 5 (70 enodes) 548.795 * * [simplify]: iters left: 4 (129 enodes) 548.840 * * [simplify]: iters left: 3 (248 enodes) 548.947 * * [simplify]: iters left: 2 (468 enodes) 549.169 * * [simplify]: Extracting #0: cost 1 inf + 0 549.169 * * [simplify]: Extracting #1: cost 40 inf + 0 549.170 * * [simplify]: Extracting #2: cost 75 inf + 1 549.171 * * [simplify]: Extracting #3: cost 128 inf + 85 549.173 * * [simplify]: Extracting #4: cost 179 inf + 209 549.177 * * [simplify]: Extracting #5: cost 105 inf + 18517 549.197 * * [simplify]: Extracting #6: cost 5 inf + 58501 549.227 * * [simplify]: Extracting #7: cost 0 inf + 61727 549.253 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 549.254 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt a1))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 549.254 * * * * [progress]: [ 740 / 4148 ] simplifiying candidate # 549.254 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt 1)) (sqrt a1))) 549.255 * * [simplify]: iters left: 6 (19 enodes) 549.267 * * [simplify]: iters left: 5 (68 enodes) 549.290 * * [simplify]: iters left: 4 (119 enodes) 549.330 * * [simplify]: iters left: 3 (192 enodes) 549.384 * * [simplify]: iters left: 2 (265 enodes) 549.461 * * [simplify]: iters left: 1 (336 enodes) 549.578 * * [simplify]: Extracting #0: cost 1 inf + 0 549.578 * * [simplify]: Extracting #1: cost 12 inf + 0 549.578 * * [simplify]: Extracting #2: cost 21 inf + 1 549.579 * * [simplify]: Extracting #3: cost 38 inf + 2 549.579 * * [simplify]: Extracting #4: cost 54 inf + 166 549.579 * * [simplify]: Extracting #5: cost 53 inf + 310 549.580 * * [simplify]: Extracting #6: cost 32 inf + 4029 549.582 * * [simplify]: Extracting #7: cost 6 inf + 11838 549.585 * * [simplify]: Extracting #8: cost 0 inf + 14438 549.588 * [simplify]: Simplified to (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (sqrt a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) 549.588 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (sqrt a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 549.589 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 549.589 * * [simplify]: iters left: 6 (19 enodes) 549.594 * * [simplify]: iters left: 5 (70 enodes) 549.607 * * [simplify]: iters left: 4 (129 enodes) 549.653 * * [simplify]: iters left: 3 (248 enodes) 549.729 * * [simplify]: iters left: 2 (468 enodes) 549.948 * * [simplify]: Extracting #0: cost 1 inf + 0 549.948 * * [simplify]: Extracting #1: cost 40 inf + 0 549.949 * * [simplify]: Extracting #2: cost 75 inf + 1 549.950 * * [simplify]: Extracting #3: cost 128 inf + 45 549.951 * * [simplify]: Extracting #4: cost 179 inf + 129 549.956 * * [simplify]: Extracting #5: cost 105 inf + 18157 549.975 * * [simplify]: Extracting #6: cost 5 inf + 57221 549.988 * * [simplify]: Extracting #7: cost 0 inf + 60247 550.001 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 550.001 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (sqrt a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 550.001 * * * * [progress]: [ 741 / 4148 ] simplifiying candidate # 550.002 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (cbrt 1)) 1)) 550.002 * * [simplify]: iters left: 6 (18 enodes) 550.007 * * [simplify]: iters left: 5 (63 enodes) 550.017 * * [simplify]: iters left: 4 (97 enodes) 550.035 * * [simplify]: iters left: 3 (155 enodes) 550.073 * * [simplify]: iters left: 2 (208 enodes) 550.124 * * [simplify]: iters left: 1 (277 enodes) 550.224 * * [simplify]: Extracting #0: cost 1 inf + 0 550.225 * * [simplify]: Extracting #1: cost 6 inf + 0 550.225 * * [simplify]: Extracting #2: cost 9 inf + 1 550.225 * * [simplify]: Extracting #3: cost 28 inf + 1 550.225 * * [simplify]: Extracting #4: cost 46 inf + 2 550.225 * * [simplify]: Extracting #5: cost 46 inf + 64 550.226 * * [simplify]: Extracting #6: cost 34 inf + 1604 550.228 * * [simplify]: Extracting #7: cost 10 inf + 7579 550.233 * * [simplify]: Extracting #8: cost 1 inf + 10284 550.239 * * [simplify]: Extracting #9: cost 0 inf + 10748 550.244 * [simplify]: Simplified to (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) 550.244 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 550.244 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 550.245 * * [simplify]: iters left: 6 (18 enodes) 550.254 * * [simplify]: iters left: 5 (67 enodes) 550.278 * * [simplify]: iters left: 4 (126 enodes) 550.326 * * [simplify]: iters left: 3 (245 enodes) 550.428 * * [simplify]: iters left: 2 (451 enodes) 550.677 * * [simplify]: Extracting #0: cost 1 inf + 0 550.677 * * [simplify]: Extracting #1: cost 39 inf + 0 550.677 * * [simplify]: Extracting #2: cost 71 inf + 2 550.678 * * [simplify]: Extracting #3: cost 120 inf + 4 550.680 * * [simplify]: Extracting #4: cost 164 inf + 47 550.681 * * [simplify]: Extracting #5: cost 145 inf + 2598 550.690 * * [simplify]: Extracting #6: cost 51 inf + 33481 550.712 * * [simplify]: Extracting #7: cost 0 inf + 55016 550.737 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 550.737 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 550.737 * * * * [progress]: [ 742 / 4148 ] simplifiying candidate # 550.737 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 550.738 * * [simplify]: iters left: 6 (21 enodes) 550.748 * * [simplify]: iters left: 5 (76 enodes) 550.775 * * [simplify]: iters left: 4 (141 enodes) 550.824 * * [simplify]: iters left: 3 (270 enodes) 550.917 * * [simplify]: Extracting #0: cost 1 inf + 0 550.917 * * [simplify]: Extracting #1: cost 44 inf + 0 550.918 * * [simplify]: Extracting #2: cost 89 inf + 1 550.919 * * [simplify]: Extracting #3: cost 104 inf + 83 550.920 * * [simplify]: Extracting #4: cost 116 inf + 1219 550.921 * * [simplify]: Extracting #5: cost 114 inf + 1667 550.922 * * [simplify]: Extracting #6: cost 105 inf + 3082 550.931 * * [simplify]: Extracting #7: cost 38 inf + 31016 550.950 * * [simplify]: Extracting #8: cost 2 inf + 53144 550.972 * * [simplify]: Extracting #9: cost 0 inf + 54510 550.990 * [simplify]: Simplified to (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 550.990 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 550.991 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 550.991 * * [simplify]: iters left: 6 (20 enodes) 550.996 * * [simplify]: iters left: 5 (73 enodes) 551.009 * * [simplify]: iters left: 4 (132 enodes) 551.034 * * [simplify]: iters left: 3 (259 enodes) 551.139 * * [simplify]: iters left: 2 (484 enodes) 551.385 * * [simplify]: Extracting #0: cost 1 inf + 0 551.385 * * [simplify]: Extracting #1: cost 57 inf + 0 551.387 * * [simplify]: Extracting #2: cost 118 inf + 1 551.388 * * [simplify]: Extracting #3: cost 143 inf + 2 551.389 * * [simplify]: Extracting #4: cost 160 inf + 164 551.390 * * [simplify]: Extracting #5: cost 152 inf + 874 551.394 * * [simplify]: Extracting #6: cost 77 inf + 27024 551.407 * * [simplify]: Extracting #7: cost 3 inf + 65906 551.430 * * [simplify]: Extracting #8: cost 0 inf + 67875 551.447 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 551.447 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 551.448 * * * * [progress]: [ 743 / 4148 ] simplifiying candidate # 551.448 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 551.448 * * [simplify]: iters left: 6 (20 enodes) 551.453 * * [simplify]: iters left: 5 (71 enodes) 551.468 * * [simplify]: iters left: 4 (128 enodes) 551.514 * * [simplify]: iters left: 3 (229 enodes) 551.587 * * [simplify]: iters left: 2 (381 enodes) 551.710 * * [simplify]: Extracting #0: cost 1 inf + 0 551.710 * * [simplify]: Extracting #1: cost 28 inf + 0 551.711 * * [simplify]: Extracting #2: cost 49 inf + 1 551.711 * * [simplify]: Extracting #3: cost 74 inf + 43 551.712 * * [simplify]: Extracting #4: cost 91 inf + 248 551.713 * * [simplify]: Extracting #5: cost 87 inf + 697 551.714 * * [simplify]: Extracting #6: cost 78 inf + 1910 551.719 * * [simplify]: Extracting #7: cost 28 inf + 18268 551.732 * * [simplify]: Extracting #8: cost 0 inf + 32155 551.748 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) 551.749 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 551.749 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 551.750 * * [simplify]: iters left: 6 (20 enodes) 551.760 * * [simplify]: iters left: 5 (73 enodes) 551.785 * * [simplify]: iters left: 4 (132 enodes) 551.831 * * [simplify]: iters left: 3 (259 enodes) 551.945 * * [simplify]: iters left: 2 (484 enodes) 552.245 * * [simplify]: Extracting #0: cost 1 inf + 0 552.245 * * [simplify]: Extracting #1: cost 57 inf + 0 552.249 * * [simplify]: Extracting #2: cost 118 inf + 1 552.251 * * [simplify]: Extracting #3: cost 143 inf + 2 552.252 * * [simplify]: Extracting #4: cost 160 inf + 84 552.254 * * [simplify]: Extracting #5: cost 152 inf + 794 552.259 * * [simplify]: Extracting #6: cost 77 inf + 26224 552.273 * * [simplify]: Extracting #7: cost 3 inf + 63586 552.288 * * [simplify]: Extracting #8: cost 0 inf + 65435 552.303 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 552.304 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 552.304 * * * * [progress]: [ 744 / 4148 ] simplifiying candidate # 552.304 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 552.304 * * [simplify]: iters left: 6 (19 enodes) 552.309 * * [simplify]: iters left: 5 (66 enodes) 552.332 * * [simplify]: iters left: 4 (113 enodes) 552.372 * * [simplify]: iters left: 3 (197 enodes) 552.415 * * [simplify]: iters left: 2 (291 enodes) 552.506 * * [simplify]: iters left: 1 (382 enodes) 552.682 * * [simplify]: Extracting #0: cost 1 inf + 0 552.682 * * [simplify]: Extracting #1: cost 12 inf + 0 552.682 * * [simplify]: Extracting #2: cost 22 inf + 1 552.683 * * [simplify]: Extracting #3: cost 43 inf + 1 552.683 * * [simplify]: Extracting #4: cost 62 inf + 2 552.683 * * [simplify]: Extracting #5: cost 62 inf + 64 552.684 * * [simplify]: Extracting #6: cost 41 inf + 3479 552.686 * * [simplify]: Extracting #7: cost 11 inf + 12651 552.690 * * [simplify]: Extracting #8: cost 1 inf + 17479 552.695 * * [simplify]: Extracting #9: cost 0 inf + 18142 552.699 * [simplify]: Simplified to (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) 552.699 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 552.700 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 552.700 * * [simplify]: iters left: 6 (19 enodes) 552.705 * * [simplify]: iters left: 5 (70 enodes) 552.725 * * [simplify]: iters left: 4 (129 enodes) 552.772 * * [simplify]: iters left: 3 (256 enodes) 552.851 * * [simplify]: iters left: 2 (468 enodes) 553.140 * * [simplify]: Extracting #0: cost 1 inf + 0 553.140 * * [simplify]: Extracting #1: cost 59 inf + 0 553.140 * * [simplify]: Extracting #2: cost 118 inf + 2 553.141 * * [simplify]: Extracting #3: cost 144 inf + 2 553.142 * * [simplify]: Extracting #4: cost 163 inf + 2 553.143 * * [simplify]: Extracting #5: cost 147 inf + 2026 553.146 * * [simplify]: Extracting #6: cost 87 inf + 22604 553.158 * * [simplify]: Extracting #7: cost 7 inf + 58835 553.184 * * [simplify]: Extracting #8: cost 0 inf + 62877 553.214 * [simplify]: Simplified to (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 553.214 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 553.215 * * * * [progress]: [ 745 / 4148 ] simplifiying candidate # 553.215 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 553.215 * * [simplify]: iters left: 6 (20 enodes) 553.226 * * [simplify]: iters left: 5 (73 enodes) 553.255 * * [simplify]: iters left: 4 (138 enodes) 553.306 * * [simplify]: iters left: 3 (267 enodes) 553.424 * * [simplify]: Extracting #0: cost 1 inf + 0 553.425 * * [simplify]: Extracting #1: cost 45 inf + 0 553.425 * * [simplify]: Extracting #2: cost 90 inf + 1 553.426 * * [simplify]: Extracting #3: cost 104 inf + 83 553.426 * * [simplify]: Extracting #4: cost 114 inf + 1178 553.427 * * [simplify]: Extracting #5: cost 113 inf + 1565 553.427 * * [simplify]: Extracting #6: cost 103 inf + 3001 553.431 * * [simplify]: Extracting #7: cost 39 inf + 27854 553.440 * * [simplify]: Extracting #8: cost 3 inf + 49041 553.451 * * [simplify]: Extracting #9: cost 0 inf + 50989 553.462 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) 553.462 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 553.463 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 553.463 * * [simplify]: iters left: 6 (21 enodes) 553.468 * * [simplify]: iters left: 5 (76 enodes) 553.491 * * [simplify]: iters left: 4 (135 enodes) 553.538 * * [simplify]: iters left: 3 (262 enodes) 553.653 * * [simplify]: iters left: 2 (486 enodes) 553.934 * * [simplify]: Extracting #0: cost 1 inf + 0 553.934 * * [simplify]: Extracting #1: cost 59 inf + 0 553.935 * * [simplify]: Extracting #2: cost 119 inf + 1 553.936 * * [simplify]: Extracting #3: cost 143 inf + 164 553.936 * * [simplify]: Extracting #4: cost 162 inf + 164 553.938 * * [simplify]: Extracting #5: cost 155 inf + 653 553.943 * * [simplify]: Extracting #6: cost 97 inf + 18103 553.959 * * [simplify]: Extracting #7: cost 46 inf + 42693 553.992 * * [simplify]: Extracting #8: cost 2 inf + 68211 554.024 * * [simplify]: Extracting #9: cost 0 inf + 69135 554.051 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (sqrt 2)))) 554.051 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 554.051 * * * * [progress]: [ 746 / 4148 ] simplifiying candidate # 554.051 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 554.051 * * [simplify]: iters left: 6 (19 enodes) 554.056 * * [simplify]: iters left: 5 (68 enodes) 554.069 * * [simplify]: iters left: 4 (125 enodes) 554.091 * * [simplify]: iters left: 3 (226 enodes) 554.148 * * [simplify]: iters left: 2 (381 enodes) 554.246 * * [simplify]: Extracting #0: cost 1 inf + 0 554.246 * * [simplify]: Extracting #1: cost 28 inf + 0 554.247 * * [simplify]: Extracting #2: cost 49 inf + 1 554.247 * * [simplify]: Extracting #3: cost 73 inf + 43 554.247 * * [simplify]: Extracting #4: cost 89 inf + 248 554.248 * * [simplify]: Extracting #5: cost 85 inf + 697 554.248 * * [simplify]: Extracting #6: cost 79 inf + 1385 554.251 * * [simplify]: Extracting #7: cost 29 inf + 16744 554.257 * * [simplify]: Extracting #8: cost 0 inf + 29593 554.264 * [simplify]: Simplified to (/ (sqrt a1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 554.264 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 554.264 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 554.265 * * [simplify]: iters left: 6 (21 enodes) 554.274 * * [simplify]: iters left: 5 (76 enodes) 554.297 * * [simplify]: iters left: 4 (135 enodes) 554.321 * * [simplify]: iters left: 3 (262 enodes) 554.431 * * [simplify]: iters left: 2 (486 enodes) 554.767 * * [simplify]: Extracting #0: cost 1 inf + 0 554.767 * * [simplify]: Extracting #1: cost 59 inf + 0 554.768 * * [simplify]: Extracting #2: cost 119 inf + 1 554.770 * * [simplify]: Extracting #3: cost 143 inf + 84 554.771 * * [simplify]: Extracting #4: cost 162 inf + 84 554.773 * * [simplify]: Extracting #5: cost 155 inf + 573 554.778 * * [simplify]: Extracting #6: cost 97 inf + 17663 554.794 * * [simplify]: Extracting #7: cost 46 inf + 41333 554.823 * * [simplify]: Extracting #8: cost 2 inf + 65811 554.851 * * [simplify]: Extracting #9: cost 0 inf + 66695 554.867 * [simplify]: Simplified to (/ (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt 2)))) 554.867 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 554.867 * * * * [progress]: [ 747 / 4148 ] simplifiying candidate # 554.867 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 554.868 * * [simplify]: iters left: 6 (18 enodes) 554.872 * * [simplify]: iters left: 5 (63 enodes) 554.891 * * [simplify]: iters left: 4 (110 enodes) 554.931 * * [simplify]: iters left: 3 (194 enodes) 554.977 * * [simplify]: iters left: 2 (289 enodes) 555.039 * * [simplify]: iters left: 1 (374 enodes) 555.127 * * [simplify]: Extracting #0: cost 1 inf + 0 555.127 * * [simplify]: Extracting #1: cost 12 inf + 0 555.127 * * [simplify]: Extracting #2: cost 22 inf + 1 555.127 * * [simplify]: Extracting #3: cost 42 inf + 1 555.127 * * [simplify]: Extracting #4: cost 60 inf + 2 555.128 * * [simplify]: Extracting #5: cost 60 inf + 64 555.128 * * [simplify]: Extracting #6: cost 43 inf + 2490 555.132 * * [simplify]: Extracting #7: cost 8 inf + 13797 555.140 * * [simplify]: Extracting #8: cost 0 inf + 16620 555.150 * [simplify]: Simplified to (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) 555.150 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (cbrt (sqrt (cbrt (sqrt 2))))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 555.151 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 555.151 * * [simplify]: iters left: 6 (20 enodes) 555.161 * * [simplify]: iters left: 5 (73 enodes) 555.186 * * [simplify]: iters left: 4 (132 enodes) 555.236 * * [simplify]: iters left: 3 (259 enodes) 555.336 * * [simplify]: iters left: 2 (476 enodes) 555.609 * * [simplify]: Extracting #0: cost 1 inf + 0 555.609 * * [simplify]: Extracting #1: cost 60 inf + 0 555.610 * * [simplify]: Extracting #2: cost 120 inf + 2 555.610 * * [simplify]: Extracting #3: cost 147 inf + 2 555.611 * * [simplify]: Extracting #4: cost 166 inf + 2 555.612 * * [simplify]: Extracting #5: cost 153 inf + 1845 555.615 * * [simplify]: Extracting #6: cost 89 inf + 22155 555.624 * * [simplify]: Extracting #7: cost 31 inf + 47433 555.638 * * [simplify]: Extracting #8: cost 4 inf + 62429 555.667 * * [simplify]: Extracting #9: cost 0 inf + 64702 555.686 * [simplify]: Simplified to (/ (* (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (cbrt (sqrt 2))))) 555.686 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (* (/ (/ a1 (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1)))) (cbrt (sqrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 555.687 * * * * [progress]: [ 748 / 4148 ] simplifiying candidate # 555.687 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 555.687 * * [simplify]: iters left: 6 (19 enodes) 555.693 * * [simplify]: iters left: 5 (70 enodes) 555.705 * * [simplify]: iters left: 4 (132 enodes) 555.729 * * [simplify]: iters left: 3 (253 enodes) 555.800 * * [simplify]: iters left: 2 (403 enodes) 555.921 * * [simplify]: Extracting #0: cost 1 inf + 0 555.921 * * [simplify]: Extracting #1: cost 24 inf + 0 555.921 * * [simplify]: Extracting #2: cost 38 inf + 1 555.921 * * [simplify]: Extracting #3: cost 57 inf + 569 555.922 * * [simplify]: Extracting #4: cost 72 inf + 1136 555.922 * * [simplify]: Extracting #5: cost 72 inf + 1198 555.923 * * [simplify]: Extracting #6: cost 58 inf + 3343 555.926 * * [simplify]: Extracting #7: cost 21 inf + 14315 555.935 * * [simplify]: Extracting #8: cost 0 inf + 24068 555.945 * [simplify]: Simplified to (* (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt a1)) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt a1))) 555.945 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt a1)) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 555.946 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 555.946 * * [simplify]: iters left: 6 (19 enodes) 555.956 * * [simplify]: iters left: 5 (70 enodes) 555.979 * * [simplify]: iters left: 4 (129 enodes) 556.002 * * [simplify]: iters left: 3 (248 enodes) 556.073 * * [simplify]: iters left: 2 (468 enodes) 556.316 * * [simplify]: Extracting #0: cost 1 inf + 0 556.316 * * [simplify]: Extracting #1: cost 40 inf + 0 556.316 * * [simplify]: Extracting #2: cost 75 inf + 1 556.317 * * [simplify]: Extracting #3: cost 128 inf + 85 556.318 * * [simplify]: Extracting #4: cost 179 inf + 209 556.320 * * [simplify]: Extracting #5: cost 105 inf + 18517 556.330 * * [simplify]: Extracting #6: cost 5 inf + 58501 556.344 * * [simplify]: Extracting #7: cost 0 inf + 61727 556.357 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 556.357 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 556.357 * * * * [progress]: [ 749 / 4148 ] simplifiying candidate # 556.358 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt 1) (sqrt a1))) 556.358 * * [simplify]: iters left: 6 (18 enodes) 556.363 * * [simplify]: iters left: 5 (65 enodes) 556.383 * * [simplify]: iters left: 4 (116 enodes) 556.426 * * [simplify]: iters left: 3 (191 enodes) 556.483 * * [simplify]: iters left: 2 (269 enodes) 556.547 * * [simplify]: iters left: 1 (334 enodes) 556.653 * * [simplify]: Extracting #0: cost 1 inf + 0 556.653 * * [simplify]: Extracting #1: cost 11 inf + 0 556.653 * * [simplify]: Extracting #2: cost 20 inf + 1 556.653 * * [simplify]: Extracting #3: cost 36 inf + 43 556.654 * * [simplify]: Extracting #4: cost 54 inf + 166 556.654 * * [simplify]: Extracting #5: cost 53 inf + 310 556.654 * * [simplify]: Extracting #6: cost 38 inf + 2376 556.656 * * [simplify]: Extracting #7: cost 9 inf + 10808 556.659 * * [simplify]: Extracting #8: cost 1 inf + 13672 556.662 * * [simplify]: Extracting #9: cost 0 inf + 14136 556.666 * [simplify]: Simplified to (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (sqrt a1)) 556.666 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (cbrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 556.666 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 556.666 * * [simplify]: iters left: 6 (19 enodes) 556.671 * * [simplify]: iters left: 5 (70 enodes) 556.683 * * [simplify]: iters left: 4 (129 enodes) 556.730 * * [simplify]: iters left: 3 (248 enodes) 556.811 * * [simplify]: iters left: 2 (468 enodes) 557.085 * * [simplify]: Extracting #0: cost 1 inf + 0 557.085 * * [simplify]: Extracting #1: cost 40 inf + 0 557.086 * * [simplify]: Extracting #2: cost 75 inf + 1 557.087 * * [simplify]: Extracting #3: cost 128 inf + 45 557.088 * * [simplify]: Extracting #4: cost 179 inf + 129 557.093 * * [simplify]: Extracting #5: cost 105 inf + 18157 557.114 * * [simplify]: Extracting #6: cost 5 inf + 57221 557.140 * * [simplify]: Extracting #7: cost 0 inf + 60247 557.170 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 557.170 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt 1) (sqrt a1))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 557.170 * * * * [progress]: [ 750 / 4148 ] simplifiying candidate # 557.171 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (cbrt 1) 1)) 557.171 * * [simplify]: iters left: 6 (17 enodes) 557.181 * * [simplify]: iters left: 5 (60 enodes) 557.201 * * [simplify]: iters left: 4 (96 enodes) 557.229 * * [simplify]: iters left: 3 (153 enodes) 557.276 * * [simplify]: iters left: 2 (209 enodes) 557.333 * * [simplify]: iters left: 1 (274 enodes) 557.450 * * [simplify]: Extracting #0: cost 1 inf + 0 557.450 * * [simplify]: Extracting #1: cost 6 inf + 0 557.450 * * [simplify]: Extracting #2: cost 9 inf + 1 557.450 * * [simplify]: Extracting #3: cost 28 inf + 1 557.450 * * [simplify]: Extracting #4: cost 47 inf + 2 557.451 * * [simplify]: Extracting #5: cost 46 inf + 125 557.451 * * [simplify]: Extracting #6: cost 36 inf + 1563 557.452 * * [simplify]: Extracting #7: cost 12 inf + 7398 557.455 * * [simplify]: Extracting #8: cost 0 inf + 10950 557.457 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 557.457 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 557.458 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 557.458 * * [simplify]: iters left: 6 (18 enodes) 557.464 * * [simplify]: iters left: 5 (67 enodes) 557.479 * * [simplify]: iters left: 4 (126 enodes) 557.504 * * [simplify]: iters left: 3 (245 enodes) 557.585 * * [simplify]: iters left: 2 (451 enodes) 557.843 * * [simplify]: Extracting #0: cost 1 inf + 0 557.843 * * [simplify]: Extracting #1: cost 39 inf + 0 557.843 * * [simplify]: Extracting #2: cost 71 inf + 2 557.844 * * [simplify]: Extracting #3: cost 120 inf + 4 557.846 * * [simplify]: Extracting #4: cost 164 inf + 47 557.848 * * [simplify]: Extracting #5: cost 145 inf + 2598 557.856 * * [simplify]: Extracting #6: cost 51 inf + 33481 557.868 * * [simplify]: Extracting #7: cost 0 inf + 55016 557.880 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 557.880 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 557.880 * * * * [progress]: [ 751 / 4148 ] simplifiying candidate # 557.880 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 557.881 * * [simplify]: iters left: 6 (21 enodes) 557.886 * * [simplify]: iters left: 5 (80 enodes) 557.912 * * [simplify]: iters left: 4 (171 enodes) 557.956 * * [simplify]: iters left: 3 (397 enodes) 558.216 * * [simplify]: Extracting #0: cost 1 inf + 0 558.216 * * [simplify]: Extracting #1: cost 81 inf + 0 558.218 * * [simplify]: Extracting #2: cost 179 inf + 1 558.219 * * [simplify]: Extracting #3: cost 194 inf + 2 558.221 * * [simplify]: Extracting #4: cost 209 inf + 368 558.224 * * [simplify]: Extracting #5: cost 203 inf + 1444 558.227 * * [simplify]: Extracting #6: cost 181 inf + 5839 558.236 * * [simplify]: Extracting #7: cost 122 inf + 31107 558.271 * * [simplify]: Extracting #8: cost 13 inf + 100790 558.310 * * [simplify]: Extracting #9: cost 0 inf + 109255 558.352 * [simplify]: Simplified to (* (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) 558.352 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt a1)) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 558.353 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 558.353 * * [simplify]: iters left: 6 (20 enodes) 558.358 * * [simplify]: iters left: 5 (73 enodes) 558.371 * * [simplify]: iters left: 4 (132 enodes) 558.395 * * [simplify]: iters left: 3 (259 enodes) 558.477 * * [simplify]: iters left: 2 (484 enodes) 558.705 * * [simplify]: Extracting #0: cost 1 inf + 0 558.705 * * [simplify]: Extracting #1: cost 57 inf + 0 558.706 * * [simplify]: Extracting #2: cost 118 inf + 1 558.711 * * [simplify]: Extracting #3: cost 143 inf + 2 558.712 * * [simplify]: Extracting #4: cost 160 inf + 164 558.714 * * [simplify]: Extracting #5: cost 152 inf + 874 558.720 * * [simplify]: Extracting #6: cost 77 inf + 27024 558.748 * * [simplify]: Extracting #7: cost 3 inf + 65906 558.778 * * [simplify]: Extracting #8: cost 0 inf + 67875 558.809 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 558.809 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 558.810 * * * * [progress]: [ 752 / 4148 ] simplifiying candidate # 558.810 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 558.811 * * [simplify]: iters left: 6 (20 enodes) 558.821 * * [simplify]: iters left: 5 (73 enodes) 558.846 * * [simplify]: iters left: 4 (141 enodes) 558.877 * * [simplify]: iters left: 3 (293 enodes) 558.982 * * [simplify]: Extracting #0: cost 1 inf + 0 558.982 * * [simplify]: Extracting #1: cost 51 inf + 0 558.982 * * [simplify]: Extracting #2: cost 110 inf + 1 558.982 * * [simplify]: Extracting #3: cost 125 inf + 2 558.983 * * [simplify]: Extracting #4: cost 139 inf + 290 558.984 * * [simplify]: Extracting #5: cost 139 inf + 556 558.984 * * [simplify]: Extracting #6: cost 133 inf + 1205 558.988 * * [simplify]: Extracting #7: cost 70 inf + 24643 558.999 * * [simplify]: Extracting #8: cost 4 inf + 63403 559.021 * * [simplify]: Extracting #9: cost 0 inf + 66175 559.048 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) 559.048 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 559.049 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 559.049 * * [simplify]: iters left: 6 (20 enodes) 559.059 * * [simplify]: iters left: 5 (73 enodes) 559.088 * * [simplify]: iters left: 4 (132 enodes) 559.128 * * [simplify]: iters left: 3 (259 enodes) 559.221 * * [simplify]: iters left: 2 (484 enodes) 559.479 * * [simplify]: Extracting #0: cost 1 inf + 0 559.479 * * [simplify]: Extracting #1: cost 57 inf + 0 559.480 * * [simplify]: Extracting #2: cost 118 inf + 1 559.481 * * [simplify]: Extracting #3: cost 143 inf + 2 559.483 * * [simplify]: Extracting #4: cost 160 inf + 84 559.484 * * [simplify]: Extracting #5: cost 152 inf + 794 559.491 * * [simplify]: Extracting #6: cost 77 inf + 26224 559.522 * * [simplify]: Extracting #7: cost 3 inf + 63586 559.551 * * [simplify]: Extracting #8: cost 0 inf + 65435 559.583 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 559.583 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 559.584 * * * * [progress]: [ 753 / 4148 ] simplifiying candidate # 559.584 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 559.584 * * [simplify]: iters left: 6 (19 enodes) 559.594 * * [simplify]: iters left: 5 (68 enodes) 559.609 * * [simplify]: iters left: 4 (130 enodes) 559.637 * * [simplify]: iters left: 3 (263 enodes) 559.716 * * [simplify]: iters left: 2 (414 enodes) 559.831 * * [simplify]: Extracting #0: cost 1 inf + 0 559.831 * * [simplify]: Extracting #1: cost 30 inf + 0 559.831 * * [simplify]: Extracting #2: cost 80 inf + 1 559.831 * * [simplify]: Extracting #3: cost 107 inf + 1 559.832 * * [simplify]: Extracting #4: cost 125 inf + 2 559.832 * * [simplify]: Extracting #5: cost 122 inf + 329 559.833 * * [simplify]: Extracting #6: cost 113 inf + 1664 559.838 * * [simplify]: Extracting #7: cost 51 inf + 23509 559.846 * * [simplify]: Extracting #8: cost 7 inf + 46707 559.857 * * [simplify]: Extracting #9: cost 0 inf + 51108 559.876 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 559.876 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 559.876 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 559.877 * * [simplify]: iters left: 6 (19 enodes) 559.887 * * [simplify]: iters left: 5 (70 enodes) 559.899 * * [simplify]: iters left: 4 (129 enodes) 559.923 * * [simplify]: iters left: 3 (256 enodes) 560.007 * * [simplify]: iters left: 2 (468 enodes) 560.275 * * [simplify]: Extracting #0: cost 1 inf + 0 560.276 * * [simplify]: Extracting #1: cost 59 inf + 0 560.277 * * [simplify]: Extracting #2: cost 118 inf + 2 560.278 * * [simplify]: Extracting #3: cost 144 inf + 2 560.279 * * [simplify]: Extracting #4: cost 163 inf + 2 560.281 * * [simplify]: Extracting #5: cost 147 inf + 2026 560.287 * * [simplify]: Extracting #6: cost 87 inf + 22604 560.311 * * [simplify]: Extracting #7: cost 7 inf + 58835 560.332 * * [simplify]: Extracting #8: cost 0 inf + 62877 560.347 * [simplify]: Simplified to (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 560.347 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (* (/ a1 (cbrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 560.347 * * * * [progress]: [ 754 / 4148 ] simplifiying candidate # 560.348 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 560.348 * * [simplify]: iters left: 6 (20 enodes) 560.353 * * [simplify]: iters left: 5 (73 enodes) 560.366 * * [simplify]: iters left: 4 (138 enodes) 560.403 * * [simplify]: iters left: 3 (267 enodes) 560.480 * * [simplify]: Extracting #0: cost 1 inf + 0 560.480 * * [simplify]: Extracting #1: cost 45 inf + 0 560.480 * * [simplify]: Extracting #2: cost 90 inf + 1 560.481 * * [simplify]: Extracting #3: cost 104 inf + 83 560.481 * * [simplify]: Extracting #4: cost 114 inf + 1178 560.482 * * [simplify]: Extracting #5: cost 113 inf + 1565 560.483 * * [simplify]: Extracting #6: cost 103 inf + 3001 560.486 * * [simplify]: Extracting #7: cost 39 inf + 27934 560.495 * * [simplify]: Extracting #8: cost 3 inf + 49121 560.507 * * [simplify]: Extracting #9: cost 0 inf + 51069 560.527 * [simplify]: Simplified to (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) 560.527 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 560.528 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 560.528 * * [simplify]: iters left: 6 (20 enodes) 560.537 * * [simplify]: iters left: 5 (73 enodes) 560.561 * * [simplify]: iters left: 4 (132 enodes) 560.609 * * [simplify]: iters left: 3 (259 enodes) 560.696 * * [simplify]: iters left: 2 (484 enodes) 560.951 * * [simplify]: Extracting #0: cost 1 inf + 0 560.951 * * [simplify]: Extracting #1: cost 57 inf + 0 560.952 * * [simplify]: Extracting #2: cost 118 inf + 1 560.953 * * [simplify]: Extracting #3: cost 143 inf + 2 560.953 * * [simplify]: Extracting #4: cost 160 inf + 164 560.955 * * [simplify]: Extracting #5: cost 152 inf + 874 560.961 * * [simplify]: Extracting #6: cost 77 inf + 26264 560.988 * * [simplify]: Extracting #7: cost 3 inf + 63386 561.021 * * [simplify]: Extracting #8: cost 0 inf + 65235 561.051 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 561.052 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 561.052 * * * * [progress]: [ 755 / 4148 ] simplifiying candidate # 561.052 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 561.053 * * [simplify]: iters left: 6 (19 enodes) 561.062 * * [simplify]: iters left: 5 (68 enodes) 561.085 * * [simplify]: iters left: 4 (125 enodes) 561.128 * * [simplify]: iters left: 3 (226 enodes) 561.198 * * [simplify]: iters left: 2 (381 enodes) 561.313 * * [simplify]: Extracting #0: cost 1 inf + 0 561.313 * * [simplify]: Extracting #1: cost 28 inf + 0 561.313 * * [simplify]: Extracting #2: cost 49 inf + 1 561.313 * * [simplify]: Extracting #3: cost 73 inf + 43 561.314 * * [simplify]: Extracting #4: cost 89 inf + 248 561.314 * * [simplify]: Extracting #5: cost 85 inf + 697 561.315 * * [simplify]: Extracting #6: cost 79 inf + 1385 561.317 * * [simplify]: Extracting #7: cost 29 inf + 16824 561.332 * * [simplify]: Extracting #8: cost 0 inf + 29673 561.345 * [simplify]: Simplified to (/ (sqrt a1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) 561.345 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt a1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 561.346 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 561.346 * * [simplify]: iters left: 6 (20 enodes) 561.357 * * [simplify]: iters left: 5 (73 enodes) 561.382 * * [simplify]: iters left: 4 (132 enodes) 561.428 * * [simplify]: iters left: 3 (259 enodes) 561.542 * * [simplify]: iters left: 2 (484 enodes) 561.836 * * [simplify]: Extracting #0: cost 1 inf + 0 561.836 * * [simplify]: Extracting #1: cost 57 inf + 0 561.837 * * [simplify]: Extracting #2: cost 118 inf + 1 561.839 * * [simplify]: Extracting #3: cost 143 inf + 2 561.840 * * [simplify]: Extracting #4: cost 160 inf + 84 561.841 * * [simplify]: Extracting #5: cost 152 inf + 794 561.847 * * [simplify]: Extracting #6: cost 77 inf + 25464 561.873 * * [simplify]: Extracting #7: cost 3 inf + 61066 561.903 * * [simplify]: Extracting #8: cost 0 inf + 62795 561.923 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) 561.923 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (cbrt (sqrt 2))) (sqrt (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 561.924 * * * * [progress]: [ 756 / 4148 ] simplifiying candidate # 561.924 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 561.924 * * [simplify]: iters left: 6 (18 enodes) 561.929 * * [simplify]: iters left: 5 (63 enodes) 561.940 * * [simplify]: iters left: 4 (110 enodes) 561.979 * * [simplify]: iters left: 3 (194 enodes) 562.032 * * [simplify]: iters left: 2 (289 enodes) 562.140 * * [simplify]: iters left: 1 (374 enodes) 562.258 * * [simplify]: Extracting #0: cost 1 inf + 0 562.258 * * [simplify]: Extracting #1: cost 12 inf + 0 562.258 * * [simplify]: Extracting #2: cost 22 inf + 1 562.258 * * [simplify]: Extracting #3: cost 42 inf + 1 562.258 * * [simplify]: Extracting #4: cost 60 inf + 2 562.258 * * [simplify]: Extracting #5: cost 60 inf + 64 562.259 * * [simplify]: Extracting #6: cost 44 inf + 2368 562.261 * * [simplify]: Extracting #7: cost 8 inf + 13877 562.266 * * [simplify]: Extracting #8: cost 0 inf + 16700 562.270 * [simplify]: Simplified to (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) 562.270 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th)))) (sqrt (cbrt (cbrt (sqrt 2))))) (cbrt (/ a1 (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (cos th))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 562.270 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 562.270 * * [simplify]: iters left: 6 (19 enodes) 562.276 * * [simplify]: iters left: 5 (70 enodes) 562.290 * * [simplify]: iters left: 4 (129 enodes) 562.319 * * [simplify]: iters left: 3 (256 enodes) 562.415 * * [simplify]: iters left: 2 (468 enodes) 562.726 * * [simplify]: Extracting #0: cost 1 inf + 0 562.726 * * [simplify]: Extracting #1: cost 59 inf + 0 562.727 * * [simplify]: Extracting #2: cost 118 inf + 2 562.727 * * [simplify]: Extracting #3: cost 144 inf + 2 562.728 * * [simplify]: Extracting #4: cost 163 inf + 2 562.729 * * [simplify]: Extracting #5: cost 147 inf + 2026 562.732 * * [simplify]: Extracting #6: cost 87 inf + 22044 562.746 * * [simplify]: Extracting #7: cost 7 inf + 56435 562.776 * * [simplify]: Extracting #8: cost 0 inf + 60197 562.807 * [simplify]: Simplified to (* (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 562.807 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (* (/ a1 (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 562.807 * * * * [progress]: [ 757 / 4148 ] simplifiying candidate # 562.808 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 (* (cbrt a1) (cbrt a1)))) 562.808 * * [simplify]: iters left: 6 (18 enodes) 562.813 * * [simplify]: iters left: 5 (66 enodes) 562.826 * * [simplify]: iters left: 4 (126 enodes) 562.867 * * [simplify]: iters left: 3 (237 enodes) 562.939 * * [simplify]: iters left: 2 (376 enodes) 563.092 * * [simplify]: iters left: 1 (490 enodes) 563.235 * * [simplify]: Extracting #0: cost 1 inf + 0 563.235 * * [simplify]: Extracting #1: cost 17 inf + 0 563.235 * * [simplify]: Extracting #2: cost 32 inf + 1 563.235 * * [simplify]: Extracting #3: cost 44 inf + 529 563.236 * * [simplify]: Extracting #4: cost 62 inf + 812 563.236 * * [simplify]: Extracting #5: cost 61 inf + 1036 563.237 * * [simplify]: Extracting #6: cost 48 inf + 2677 563.239 * * [simplify]: Extracting #7: cost 13 inf + 13286 563.244 * * [simplify]: Extracting #8: cost 1 inf + 19186 563.249 * * [simplify]: Extracting #9: cost 0 inf + 19610 563.258 * [simplify]: Simplified to (* (* (cbrt a1) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (* (cbrt a1) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) 563.258 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th))))) (* (cbrt a1) (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 563.259 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 563.259 * * [simplify]: iters left: 6 (19 enodes) 563.265 * * [simplify]: iters left: 5 (70 enodes) 563.281 * * [simplify]: iters left: 4 (129 enodes) 563.312 * * [simplify]: iters left: 3 (248 enodes) 563.385 * * [simplify]: iters left: 2 (468 enodes) 563.731 * * [simplify]: Extracting #0: cost 1 inf + 0 563.731 * * [simplify]: Extracting #1: cost 40 inf + 0 563.732 * * [simplify]: Extracting #2: cost 75 inf + 1 563.733 * * [simplify]: Extracting #3: cost 128 inf + 85 563.734 * * [simplify]: Extracting #4: cost 179 inf + 209 563.739 * * [simplify]: Extracting #5: cost 105 inf + 18517 563.760 * * [simplify]: Extracting #6: cost 5 inf + 58501 563.785 * * [simplify]: Extracting #7: cost 0 inf + 61727 563.815 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1))) 563.815 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 (* (cbrt a1) (cbrt a1)))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 563.816 * * * * [progress]: [ 758 / 4148 ] simplifiying candidate # 563.816 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 (sqrt a1))) 563.816 * * [simplify]: iters left: 6 (17 enodes) 563.825 * * [simplify]: iters left: 5 (61 enodes) 563.847 * * [simplify]: iters left: 4 (111 enodes) 563.885 * * [simplify]: iters left: 3 (188 enodes) 563.920 * * [simplify]: iters left: 2 (266 enodes) 563.996 * * [simplify]: iters left: 1 (334 enodes) 564.137 * * [simplify]: Extracting #0: cost 1 inf + 0 564.137 * * [simplify]: Extracting #1: cost 11 inf + 0 564.138 * * [simplify]: Extracting #2: cost 20 inf + 1 564.138 * * [simplify]: Extracting #3: cost 34 inf + 166 564.139 * * [simplify]: Extracting #4: cost 53 inf + 248 564.139 * * [simplify]: Extracting #5: cost 53 inf + 310 564.140 * * [simplify]: Extracting #6: cost 42 inf + 1666 564.143 * * [simplify]: Extracting #7: cost 8 inf + 11113 564.149 * * [simplify]: Extracting #8: cost 0 inf + 14136 564.156 * [simplify]: Simplified to (* (sqrt a1) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 564.156 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 564.157 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 564.157 * * [simplify]: iters left: 6 (19 enodes) 564.167 * * [simplify]: iters left: 5 (70 enodes) 564.189 * * [simplify]: iters left: 4 (129 enodes) 564.213 * * [simplify]: iters left: 3 (248 enodes) 564.316 * * [simplify]: iters left: 2 (468 enodes) 564.609 * * [simplify]: Extracting #0: cost 1 inf + 0 564.610 * * [simplify]: Extracting #1: cost 40 inf + 0 564.610 * * [simplify]: Extracting #2: cost 75 inf + 1 564.611 * * [simplify]: Extracting #3: cost 128 inf + 45 564.613 * * [simplify]: Extracting #4: cost 179 inf + 129 564.616 * * [simplify]: Extracting #5: cost 105 inf + 18157 564.626 * * [simplify]: Extracting #6: cost 5 inf + 57221 564.639 * * [simplify]: Extracting #7: cost 0 inf + 60247 564.662 * [simplify]: Simplified to (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1))) 564.662 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 (sqrt a1))) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (/ (cbrt (sqrt 2)) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 564.663 * * * * [progress]: [ 759 / 4148 ] simplifiying candidate # 564.663 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 1)) 564.663 * * [simplify]: iters left: 6 (16 enodes) 564.672 * * [simplify]: iters left: 5 (53 enodes) 564.688 * * [simplify]: iters left: 4 (87 enodes) 564.717 * * [simplify]: iters left: 3 (142 enodes) 564.766 * * [simplify]: iters left: 2 (190 enodes) 564.838 * * [simplify]: iters left: 1 (253 enodes) 564.964 * * [simplify]: Extracting #0: cost 1 inf + 0 564.965 * * [simplify]: Extracting #1: cost 5 inf + 0 564.965 * * [simplify]: Extracting #2: cost 7 inf + 1 564.966 * * [simplify]: Extracting #3: cost 26 inf + 1 564.966 * * [simplify]: Extracting #4: cost 44 inf + 2 564.966 * * [simplify]: Extracting #5: cost 44 inf + 64 564.967 * * [simplify]: Extracting #6: cost 31 inf + 1945 564.970 * * [simplify]: Extracting #7: cost 6 inf + 8043 564.974 * * [simplify]: Extracting #8: cost 0 inf + 9820 564.979 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 564.979 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 564.979 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 564.979 * * [simplify]: iters left: 6 (18 enodes) 564.989 * * [simplify]: iters left: 5 (67 enodes) 565.008 * * [simplify]: iters left: 4 (126 enodes) 565.031 * * [simplify]: iters left: 3 (245 enodes) 565.107 * * [simplify]: iters left: 2 (451 enodes) 565.336 * * [simplify]: Extracting #0: cost 1 inf + 0 565.337 * * [simplify]: Extracting #1: cost 39 inf + 0 565.337 * * [simplify]: Extracting #2: cost 71 inf + 2 565.337 * * [simplify]: Extracting #3: cost 120 inf + 4 565.338 * * [simplify]: Extracting #4: cost 164 inf + 47 565.339 * * [simplify]: Extracting #5: cost 145 inf + 2598 565.344 * * [simplify]: Extracting #6: cost 51 inf + 33481 565.355 * * [simplify]: Extracting #7: cost 0 inf + 55016 565.378 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 565.378 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (/ 1 1)) (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 565.379 * * * * [progress]: [ 760 / 4148 ] simplifiying candidate # 565.379 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 1) 565.379 * * [simplify]: iters left: 6 (15 enodes) 565.388 * * [simplify]: iters left: 5 (50 enodes) 565.405 * * [simplify]: iters left: 4 (87 enodes) 565.427 * * [simplify]: iters left: 3 (142 enodes) 565.455 * * [simplify]: iters left: 2 (192 enodes) 565.504 * * [simplify]: iters left: 1 (249 enodes) 565.623 * * [simplify]: Extracting #0: cost 1 inf + 0 565.623 * * [simplify]: Extracting #1: cost 5 inf + 0 565.623 * * [simplify]: Extracting #2: cost 7 inf + 1 565.623 * * [simplify]: Extracting #3: cost 26 inf + 1 565.623 * * [simplify]: Extracting #4: cost 44 inf + 2 565.623 * * [simplify]: Extracting #5: cost 44 inf + 64 565.624 * * [simplify]: Extracting #6: cost 31 inf + 2146 565.625 * * [simplify]: Extracting #7: cost 2 inf + 9356 565.627 * * [simplify]: Extracting #8: cost 0 inf + 9820 565.629 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 565.629 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 565.630 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 565.630 * * [simplify]: iters left: 6 (18 enodes) 565.635 * * [simplify]: iters left: 5 (67 enodes) 565.647 * * [simplify]: iters left: 4 (126 enodes) 565.675 * * [simplify]: iters left: 3 (245 enodes) 565.781 * * [simplify]: iters left: 2 (451 enodes) 566.071 * * [simplify]: Extracting #0: cost 1 inf + 0 566.072 * * [simplify]: Extracting #1: cost 39 inf + 0 566.072 * * [simplify]: Extracting #2: cost 71 inf + 2 566.073 * * [simplify]: Extracting #3: cost 120 inf + 4 566.074 * * [simplify]: Extracting #4: cost 164 inf + 47 566.076 * * [simplify]: Extracting #5: cost 145 inf + 2598 566.086 * * [simplify]: Extracting #6: cost 51 inf + 33481 566.107 * * [simplify]: Extracting #7: cost 0 inf + 55016 566.132 * [simplify]: Simplified to (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 566.132 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) 1) (* (/ a1 (cbrt (sqrt 2))) (cbrt (* a1 (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 566.132 * * * * [progress]: [ 761 / 4148 ] simplifiying candidate # 566.132 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (cbrt (cbrt (sqrt 2)))) 566.133 * * [simplify]: iters left: 6 (16 enodes) 566.141 * * [simplify]: iters left: 5 (57 enodes) 566.160 * * [simplify]: iters left: 4 (102 enodes) 566.181 * * [simplify]: iters left: 3 (171 enodes) 566.229 * * [simplify]: iters left: 2 (235 enodes) 566.294 * * [simplify]: iters left: 1 (292 enodes) 566.410 * * [simplify]: Extracting #0: cost 1 inf + 0 566.410 * * [simplify]: Extracting #1: cost 9 inf + 0 566.410 * * [simplify]: Extracting #2: cost 16 inf + 1 566.410 * * [simplify]: Extracting #3: cost 36 inf + 1 566.411 * * [simplify]: Extracting #4: cost 55 inf + 2 566.411 * * [simplify]: Extracting #5: cost 43 inf + 1458 566.412 * * [simplify]: Extracting #6: cost 10 inf + 9956 566.415 * * [simplify]: Extracting #7: cost 0 inf + 13522 566.418 * [simplify]: Simplified to (* (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2))))) 566.418 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (/ (cbrt (/ a1 (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) (cos th))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 566.418 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (/ 1 a1)) 566.419 * * [simplify]: iters left: 6 (18 enodes) 566.424 * * [simplify]: iters left: 5 (67 enodes) 566.438 * * [simplify]: iters left: 4 (122 enodes) 566.462 * * [simplify]: iters left: 3 (225 enodes) 566.520 * * [simplify]: iters left: 2 (375 enodes) 566.669 * * [simplify]: Extracting #0: cost 1 inf + 0 566.669 * * [simplify]: Extracting #1: cost 38 inf + 0 566.669 * * [simplify]: Extracting #2: cost 75 inf + 44 566.670 * * [simplify]: Extracting #3: cost 93 inf + 660 566.670 * * [simplify]: Extracting #4: cost 112 inf + 660 566.671 * * [simplify]: Extracting #5: cost 100 inf + 1797 566.674 * * [simplify]: Extracting #6: cost 30 inf + 23594 566.683 * * [simplify]: Extracting #7: cost 1 inf + 35421 566.693 * * [simplify]: Extracting #8: cost 0 inf + 35925 566.713 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1) 566.713 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) 1) (cbrt (cbrt (sqrt 2)))) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 566.714 * * * * [progress]: [ 762 / 4148 ] simplifiying candidate # 566.714 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 566.715 * * [simplify]: iters left: 6 (20 enodes) 566.725 * * [simplify]: iters left: 5 (77 enodes) 566.747 * * [simplify]: iters left: 4 (152 enodes) 566.776 * * [simplify]: iters left: 3 (308 enodes) 566.856 * * [simplify]: iters left: 2 (497 enodes) 567.027 * * [simplify]: Extracting #0: cost 1 inf + 0 567.027 * * [simplify]: Extracting #1: cost 36 inf + 0 567.027 * * [simplify]: Extracting #2: cost 72 inf + 0 567.028 * * [simplify]: Extracting #3: cost 101 inf + 0 567.029 * * [simplify]: Extracting #4: cost 118 inf + 2 567.030 * * [simplify]: Extracting #5: cost 104 inf + 1803 567.034 * * [simplify]: Extracting #6: cost 62 inf + 12838 567.041 * * [simplify]: Extracting #7: cost 30 inf + 29726 567.052 * * [simplify]: Extracting #8: cost 1 inf + 47827 567.064 * * [simplify]: Extracting #9: cost 0 inf + 48069 567.085 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2)))))) 567.086 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 567.086 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.087 * * [simplify]: iters left: 6 (18 enodes) 567.098 * * [simplify]: iters left: 5 (61 enodes) 567.118 * * [simplify]: iters left: 4 (92 enodes) 567.147 * * [simplify]: iters left: 3 (146 enodes) 567.193 * * [simplify]: iters left: 2 (195 enodes) 567.241 * * [simplify]: iters left: 1 (258 enodes) 567.339 * * [simplify]: Extracting #0: cost 1 inf + 0 567.339 * * [simplify]: Extracting #1: cost 4 inf + 0 567.339 * * [simplify]: Extracting #2: cost 9 inf + 0 567.339 * * [simplify]: Extracting #3: cost 29 inf + 1 567.339 * * [simplify]: Extracting #4: cost 48 inf + 2 567.340 * * [simplify]: Extracting #5: cost 48 inf + 64 567.340 * * [simplify]: Extracting #6: cost 34 inf + 2228 567.343 * * [simplify]: Extracting #7: cost 4 inf + 9432 567.348 * * [simplify]: Extracting #8: cost 0 inf + 10902 567.352 * [simplify]: Simplified to (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.352 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 567.352 * * * * [progress]: [ 763 / 4148 ] simplifiying candidate # 567.353 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.353 * * [simplify]: iters left: 6 (19 enodes) 567.363 * * [simplify]: iters left: 5 (72 enodes) 567.388 * * [simplify]: iters left: 4 (133 enodes) 567.435 * * [simplify]: iters left: 3 (232 enodes) 567.502 * * [simplify]: iters left: 2 (327 enodes) 567.575 * * [simplify]: iters left: 1 (413 enodes) 567.712 * * [simplify]: Extracting #0: cost 1 inf + 0 567.712 * * [simplify]: Extracting #1: cost 23 inf + 0 567.713 * * [simplify]: Extracting #2: cost 47 inf + 0 567.713 * * [simplify]: Extracting #3: cost 69 inf + 0 567.714 * * [simplify]: Extracting #4: cost 87 inf + 2 567.714 * * [simplify]: Extracting #5: cost 80 inf + 430 567.716 * * [simplify]: Extracting #6: cost 53 inf + 5903 567.723 * * [simplify]: Extracting #7: cost 20 inf + 18988 567.733 * * [simplify]: Extracting #8: cost 3 inf + 28596 567.740 * * [simplify]: Extracting #9: cost 0 inf + 30204 567.746 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.746 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 567.746 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.747 * * [simplify]: iters left: 6 (18 enodes) 567.751 * * [simplify]: iters left: 5 (61 enodes) 567.761 * * [simplify]: iters left: 4 (92 enodes) 567.786 * * [simplify]: iters left: 3 (146 enodes) 567.815 * * [simplify]: iters left: 2 (195 enodes) 567.856 * * [simplify]: iters left: 1 (258 enodes) 567.954 * * [simplify]: Extracting #0: cost 1 inf + 0 567.954 * * [simplify]: Extracting #1: cost 4 inf + 0 567.955 * * [simplify]: Extracting #2: cost 9 inf + 0 567.955 * * [simplify]: Extracting #3: cost 29 inf + 1 567.955 * * [simplify]: Extracting #4: cost 48 inf + 2 567.955 * * [simplify]: Extracting #5: cost 48 inf + 64 567.956 * * [simplify]: Extracting #6: cost 34 inf + 2188 567.959 * * [simplify]: Extracting #7: cost 4 inf + 9312 567.963 * * [simplify]: Extracting #8: cost 0 inf + 10742 567.968 * [simplify]: Simplified to (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 567.968 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 567.968 * * * * [progress]: [ 764 / 4148 ] simplifiying candidate # 567.969 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 567.969 * * [simplify]: iters left: 6 (22 enodes) 567.980 * * [simplify]: iters left: 5 (85 enodes) 568.005 * * [simplify]: iters left: 4 (168 enodes) 568.046 * * [simplify]: iters left: 3 (382 enodes) 568.198 * * [simplify]: Extracting #0: cost 1 inf + 0 568.198 * * [simplify]: Extracting #1: cost 96 inf + 0 568.199 * * [simplify]: Extracting #2: cost 204 inf + 0 568.200 * * [simplify]: Extracting #3: cost 220 inf + 82 568.201 * * [simplify]: Extracting #4: cost 237 inf + 285 568.203 * * [simplify]: Extracting #5: cost 208 inf + 7903 568.218 * * [simplify]: Extracting #6: cost 122 inf + 50324 568.252 * * [simplify]: Extracting #7: cost 24 inf + 119957 568.292 * * [simplify]: Extracting #8: cost 0 inf + 138765 568.322 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 568.322 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 568.323 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 568.323 * * [simplify]: iters left: 6 (19 enodes) 568.328 * * [simplify]: iters left: 5 (66 enodes) 568.349 * * [simplify]: iters left: 4 (104 enodes) 568.384 * * [simplify]: iters left: 3 (168 enodes) 568.437 * * [simplify]: iters left: 2 (228 enodes) 568.520 * * [simplify]: iters left: 1 (312 enodes) 568.632 * * [simplify]: Extracting #0: cost 1 inf + 0 568.633 * * [simplify]: Extracting #1: cost 13 inf + 0 568.633 * * [simplify]: Extracting #2: cost 25 inf + 1 568.633 * * [simplify]: Extracting #3: cost 42 inf + 83 568.633 * * [simplify]: Extracting #4: cost 58 inf + 408 568.634 * * [simplify]: Extracting #5: cost 58 inf + 470 568.635 * * [simplify]: Extracting #6: cost 41 inf + 2937 568.638 * * [simplify]: Extracting #7: cost 14 inf + 9839 568.644 * * [simplify]: Extracting #8: cost 1 inf + 15993 568.651 * * [simplify]: Extracting #9: cost 0 inf + 16696 568.658 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 568.658 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 568.658 * * * * [progress]: [ 765 / 4148 ] simplifiying candidate # 568.659 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 568.659 * * [simplify]: iters left: 6 (21 enodes) 568.669 * * [simplify]: iters left: 5 (80 enodes) 568.697 * * [simplify]: iters left: 4 (155 enodes) 568.728 * * [simplify]: iters left: 3 (322 enodes) 568.878 * * [simplify]: Extracting #0: cost 1 inf + 0 568.878 * * [simplify]: Extracting #1: cost 68 inf + 0 568.879 * * [simplify]: Extracting #2: cost 123 inf + 0 568.880 * * [simplify]: Extracting #3: cost 140 inf + 42 568.881 * * [simplify]: Extracting #4: cost 157 inf + 84 568.883 * * [simplify]: Extracting #5: cost 147 inf + 1141 568.888 * * [simplify]: Extracting #6: cost 97 inf + 17837 568.904 * * [simplify]: Extracting #7: cost 48 inf + 46868 568.935 * * [simplify]: Extracting #8: cost 2 inf + 80836 568.960 * * [simplify]: Extracting #9: cost 0 inf + 82221 568.977 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 568.977 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 568.977 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 568.978 * * [simplify]: iters left: 6 (19 enodes) 568.982 * * [simplify]: iters left: 5 (66 enodes) 568.994 * * [simplify]: iters left: 4 (104 enodes) 569.011 * * [simplify]: iters left: 3 (168 enodes) 569.066 * * [simplify]: iters left: 2 (228 enodes) 569.150 * * [simplify]: iters left: 1 (312 enodes) 569.250 * * [simplify]: Extracting #0: cost 1 inf + 0 569.250 * * [simplify]: Extracting #1: cost 13 inf + 0 569.250 * * [simplify]: Extracting #2: cost 25 inf + 1 569.250 * * [simplify]: Extracting #3: cost 42 inf + 43 569.250 * * [simplify]: Extracting #4: cost 58 inf + 248 569.251 * * [simplify]: Extracting #5: cost 58 inf + 310 569.251 * * [simplify]: Extracting #6: cost 41 inf + 2777 569.253 * * [simplify]: Extracting #7: cost 14 inf + 9639 569.256 * * [simplify]: Extracting #8: cost 1 inf + 15553 569.260 * * [simplify]: Extracting #9: cost 0 inf + 16216 569.263 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 569.263 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 569.264 * * * * [progress]: [ 766 / 4148 ] simplifiying candidate # 569.264 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 569.264 * * [simplify]: iters left: 6 (20 enodes) 569.269 * * [simplify]: iters left: 5 (75 enodes) 569.282 * * [simplify]: iters left: 4 (138 enodes) 569.328 * * [simplify]: iters left: 3 (260 enodes) 569.410 * * [simplify]: iters left: 2 (421 enodes) 569.581 * * [simplify]: Extracting #0: cost 1 inf + 0 569.581 * * [simplify]: Extracting #1: cost 46 inf + 0 569.582 * * [simplify]: Extracting #2: cost 89 inf + 1 569.582 * * [simplify]: Extracting #3: cost 117 inf + 1 569.583 * * [simplify]: Extracting #4: cost 135 inf + 2 569.583 * * [simplify]: Extracting #5: cost 125 inf + 774 569.587 * * [simplify]: Extracting #6: cost 61 inf + 24687 569.599 * * [simplify]: Extracting #7: cost 3 inf + 55287 569.619 * * [simplify]: Extracting #8: cost 0 inf + 56853 569.640 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) 569.640 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 569.640 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 569.640 * * [simplify]: iters left: 6 (18 enodes) 569.645 * * [simplify]: iters left: 5 (63 enodes) 569.656 * * [simplify]: iters left: 4 (101 enodes) 569.673 * * [simplify]: iters left: 3 (165 enodes) 569.701 * * [simplify]: iters left: 2 (223 enodes) 569.742 * * [simplify]: iters left: 1 (300 enodes) 569.851 * * [simplify]: Extracting #0: cost 1 inf + 0 569.851 * * [simplify]: Extracting #1: cost 13 inf + 0 569.851 * * [simplify]: Extracting #2: cost 22 inf + 44 569.851 * * [simplify]: Extracting #3: cost 39 inf + 168 569.851 * * [simplify]: Extracting #4: cost 58 inf + 168 569.852 * * [simplify]: Extracting #5: cost 58 inf + 230 569.852 * * [simplify]: Extracting #6: cost 42 inf + 2956 569.854 * * [simplify]: Extracting #7: cost 13 inf + 10779 569.857 * * [simplify]: Extracting #8: cost 0 inf + 15816 569.860 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 569.860 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 569.860 * * * * [progress]: [ 767 / 4148 ] simplifiying candidate # 569.860 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 569.861 * * [simplify]: iters left: 6 (25 enodes) 569.867 * * [simplify]: iters left: 5 (95 enodes) 569.888 * * [simplify]: iters left: 4 (178 enodes) 569.955 * * [simplify]: iters left: 3 (390 enodes) 570.107 * * [simplify]: Extracting #0: cost 1 inf + 0 570.108 * * [simplify]: Extracting #1: cost 93 inf + 0 570.108 * * [simplify]: Extracting #2: cost 198 inf + 0 570.109 * * [simplify]: Extracting #3: cost 214 inf + 203 570.110 * * [simplify]: Extracting #4: cost 231 inf + 448 570.111 * * [simplify]: Extracting #5: cost 227 inf + 1038 570.114 * * [simplify]: Extracting #6: cost 179 inf + 16676 570.137 * * [simplify]: Extracting #7: cost 39 inf + 115092 570.182 * * [simplify]: Extracting #8: cost 0 inf + 147787 570.209 * * [simplify]: Extracting #9: cost 0 inf + 147747 570.237 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (fabs (cbrt 2))))) 570.237 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 570.237 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 570.237 * * [simplify]: iters left: 6 (21 enodes) 570.244 * * [simplify]: iters left: 5 (72 enodes) 570.268 * * [simplify]: iters left: 4 (110 enodes) 570.303 * * [simplify]: iters left: 3 (174 enodes) 570.351 * * [simplify]: iters left: 2 (232 enodes) 570.398 * * [simplify]: iters left: 1 (316 enodes) 570.509 * * [simplify]: Extracting #0: cost 1 inf + 0 570.509 * * [simplify]: Extracting #1: cost 13 inf + 0 570.509 * * [simplify]: Extracting #2: cost 25 inf + 1 570.510 * * [simplify]: Extracting #3: cost 41 inf + 286 570.510 * * [simplify]: Extracting #4: cost 61 inf + 408 570.510 * * [simplify]: Extracting #5: cost 62 inf + 470 570.511 * * [simplify]: Extracting #6: cost 44 inf + 2959 570.512 * * [simplify]: Extracting #7: cost 15 inf + 9839 570.516 * * [simplify]: Extracting #8: cost 2 inf + 16494 570.519 * * [simplify]: Extracting #9: cost 0 inf + 17820 570.522 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt a1) (cbrt (cbrt (sqrt (cbrt 2)))))) 570.522 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (cbrt a1) (cbrt (cbrt (sqrt (cbrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 570.523 * * * * [progress]: [ 768 / 4148 ] simplifiying candidate # 570.523 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 570.523 * * [simplify]: iters left: 6 (24 enodes) 570.530 * * [simplify]: iters left: 5 (90 enodes) 570.553 * * [simplify]: iters left: 4 (165 enodes) 570.587 * * [simplify]: iters left: 3 (334 enodes) 570.709 * * [simplify]: Extracting #0: cost 1 inf + 0 570.709 * * [simplify]: Extracting #1: cost 70 inf + 0 570.709 * * [simplify]: Extracting #2: cost 125 inf + 0 570.710 * * [simplify]: Extracting #3: cost 142 inf + 42 570.711 * * [simplify]: Extracting #4: cost 161 inf + 84 570.711 * * [simplify]: Extracting #5: cost 155 inf + 918 570.713 * * [simplify]: Extracting #6: cost 118 inf + 8383 570.718 * * [simplify]: Extracting #7: cost 68 inf + 37976 570.737 * * [simplify]: Extracting #8: cost 9 inf + 82162 570.765 * * [simplify]: Extracting #9: cost 0 inf + 89187 570.782 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (fabs (cbrt 2)))))) 570.782 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (/ (cos th) (cbrt (sqrt 2))) a1) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (fabs (cbrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 570.782 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 570.782 * * [simplify]: iters left: 6 (21 enodes) 570.789 * * [simplify]: iters left: 5 (72 enodes) 570.816 * * [simplify]: iters left: 4 (110 enodes) 570.852 * * [simplify]: iters left: 3 (174 enodes) 570.883 * * [simplify]: iters left: 2 (232 enodes) 570.959 * * [simplify]: iters left: 1 (316 enodes) 571.054 * * [simplify]: Extracting #0: cost 1 inf + 0 571.054 * * [simplify]: Extracting #1: cost 13 inf + 0 571.054 * * [simplify]: Extracting #2: cost 25 inf + 1 571.054 * * [simplify]: Extracting #3: cost 41 inf + 166 571.055 * * [simplify]: Extracting #4: cost 61 inf + 248 571.055 * * [simplify]: Extracting #5: cost 62 inf + 310 571.056 * * [simplify]: Extracting #6: cost 44 inf + 2799 571.057 * * [simplify]: Extracting #7: cost 15 inf + 9599 571.060 * * [simplify]: Extracting #8: cost 2 inf + 16094 571.063 * * [simplify]: Extracting #9: cost 0 inf + 17340 571.067 * [simplify]: Simplified to (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (sqrt a1) (cbrt (cbrt (sqrt (cbrt 2)))))) 571.067 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (* (cbrt (* (/ (/ (cos th) (cbrt (sqrt 2))) (cbrt (sqrt 2))) a1)) (/ (sqrt a1) (cbrt (cbrt (sqrt (cbrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 571.067 * * * * [progress]: [ 769 / 4148 ] simplifiying candidate # 571.067 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 571.067 * * [simplify]: iters left: 6 (23 enodes) 571.075 * * [simplify]: iters left: 5 (85 enodes) 571.090 * * [simplify]: iters left: 4 (148 enodes) 571.114 * * [simplify]: iters left: 3 (270 enodes) 571.215 * * [simplify]: iters left: 2 (429 enodes) 571.403 * * [simplify]: Extracting #0: cost 1 inf + 0 571.403 * * [simplify]: Extracting #1: cost 46 inf + 0 571.404 * * [simplify]: Extracting #2: cost 89 inf + 1 571.404 * * [simplify]: Extracting #3: cost 118 inf + 1 571.405 * * [simplify]: Extracting #4: cost 139 inf + 2 571.406 * * [simplify]: Extracting #5: cost 132 inf + 613 571.407 * * [simplify]: Extracting #6: cost 98 inf + 7597 571.411 * * [simplify]: Extracting #7: cost 52 inf + 25493 571.422 * * [simplify]: Extracting #8: cost 7 inf + 56979 571.436 * * [simplify]: Extracting #9: cost 0 inf + 62099 571.449 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) 571.449 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (fabs (cbrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 571.450 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 571.450 * * [simplify]: iters left: 6 (20 enodes) 571.456 * * [simplify]: iters left: 5 (69 enodes) 571.471 * * [simplify]: iters left: 4 (107 enodes) 571.488 * * [simplify]: iters left: 3 (171 enodes) 571.544 * * [simplify]: iters left: 2 (232 enodes) 571.599 * * [simplify]: iters left: 1 (309 enodes) 571.739 * * [simplify]: Extracting #0: cost 1 inf + 0 571.740 * * [simplify]: Extracting #1: cost 13 inf + 0 571.740 * * [simplify]: Extracting #2: cost 23 inf + 2 571.740 * * [simplify]: Extracting #3: cost 41 inf + 86 571.740 * * [simplify]: Extracting #4: cost 61 inf + 168 571.740 * * [simplify]: Extracting #5: cost 62 inf + 230 571.741 * * [simplify]: Extracting #6: cost 47 inf + 2031 571.742 * * [simplify]: Extracting #7: cost 17 inf + 8933 571.745 * * [simplify]: Extracting #8: cost 3 inf + 15132 571.748 * * [simplify]: Extracting #9: cost 0 inf + 16940 571.751 * [simplify]: Simplified to (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2))))) a1) 571.752 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (* (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (cbrt 2))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 571.752 * * * * [progress]: [ 770 / 4148 ] simplifiying candidate # 571.752 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 571.752 * * [simplify]: iters left: 6 (23 enodes) 571.758 * * [simplify]: iters left: 5 (88 enodes) 571.775 * * [simplify]: iters left: 4 (171 enodes) 571.820 * * [simplify]: iters left: 3 (385 enodes) 572.012 * * [simplify]: Extracting #0: cost 1 inf + 0 572.013 * * [simplify]: Extracting #1: cost 94 inf + 0 572.014 * * [simplify]: Extracting #2: cost 200 inf + 0 572.016 * * [simplify]: Extracting #3: cost 217 inf + 203 572.021 * * [simplify]: Extracting #4: cost 233 inf + 406 572.025 * * [simplify]: Extracting #5: cost 195 inf + 12128 572.040 * * [simplify]: Extracting #6: cost 121 inf + 45954 572.067 * * [simplify]: Extracting #7: cost 24 inf + 119002 572.111 * * [simplify]: Extracting #8: cost 0 inf + 139292 572.154 * [simplify]: Simplified to (/ (* (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 572.154 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 572.154 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 572.155 * * [simplify]: iters left: 6 (20 enodes) 572.160 * * [simplify]: iters left: 5 (69 enodes) 572.173 * * [simplify]: iters left: 4 (107 enodes) 572.202 * * [simplify]: iters left: 3 (171 enodes) 572.257 * * [simplify]: iters left: 2 (232 enodes) 572.340 * * [simplify]: iters left: 1 (310 enodes) 572.450 * * [simplify]: Extracting #0: cost 1 inf + 0 572.450 * * [simplify]: Extracting #1: cost 13 inf + 0 572.450 * * [simplify]: Extracting #2: cost 25 inf + 1 572.450 * * [simplify]: Extracting #3: cost 42 inf + 164 572.450 * * [simplify]: Extracting #4: cost 60 inf + 408 572.451 * * [simplify]: Extracting #5: cost 60 inf + 470 572.451 * * [simplify]: Extracting #6: cost 45 inf + 2351 572.453 * * [simplify]: Extracting #7: cost 11 inf + 10906 572.456 * * [simplify]: Extracting #8: cost 0 inf + 16778 572.459 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) 572.459 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (* (/ (cbrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 572.459 * * * * [progress]: [ 771 / 4148 ] simplifiying candidate # 572.459 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 572.460 * * [simplify]: iters left: 6 (22 enodes) 572.465 * * [simplify]: iters left: 5 (83 enodes) 572.483 * * [simplify]: iters left: 4 (158 enodes) 572.515 * * [simplify]: iters left: 3 (327 enodes) 572.627 * * [simplify]: Extracting #0: cost 1 inf + 0 572.628 * * [simplify]: Extracting #1: cost 68 inf + 0 572.628 * * [simplify]: Extracting #2: cost 123 inf + 0 572.629 * * [simplify]: Extracting #3: cost 141 inf + 42 572.629 * * [simplify]: Extracting #4: cost 159 inf + 84 572.630 * * [simplify]: Extracting #5: cost 150 inf + 920 572.631 * * [simplify]: Extracting #6: cost 118 inf + 7657 572.636 * * [simplify]: Extracting #7: cost 68 inf + 34849 572.653 * * [simplify]: Extracting #8: cost 15 inf + 70779 572.669 * * [simplify]: Extracting #9: cost 0 inf + 81823 572.684 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 572.684 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 572.684 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 572.684 * * [simplify]: iters left: 6 (20 enodes) 572.690 * * [simplify]: iters left: 5 (69 enodes) 572.702 * * [simplify]: iters left: 4 (107 enodes) 572.720 * * [simplify]: iters left: 3 (171 enodes) 572.765 * * [simplify]: iters left: 2 (232 enodes) 572.818 * * [simplify]: iters left: 1 (310 enodes) 572.902 * * [simplify]: Extracting #0: cost 1 inf + 0 572.902 * * [simplify]: Extracting #1: cost 13 inf + 0 572.903 * * [simplify]: Extracting #2: cost 25 inf + 1 572.903 * * [simplify]: Extracting #3: cost 42 inf + 84 572.903 * * [simplify]: Extracting #4: cost 60 inf + 248 572.903 * * [simplify]: Extracting #5: cost 60 inf + 310 572.904 * * [simplify]: Extracting #6: cost 45 inf + 2191 572.905 * * [simplify]: Extracting #7: cost 11 inf + 10586 572.912 * * [simplify]: Extracting #8: cost 0 inf + 16298 572.918 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) 572.919 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 572.919 * * * * [progress]: [ 772 / 4148 ] simplifiying candidate # 572.919 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 572.920 * * [simplify]: iters left: 6 (21 enodes) 572.926 * * [simplify]: iters left: 5 (78 enodes) 572.939 * * [simplify]: iters left: 4 (141 enodes) 572.972 * * [simplify]: iters left: 3 (265 enodes) 573.079 * * [simplify]: iters left: 2 (430 enodes) 573.280 * * [simplify]: Extracting #0: cost 1 inf + 0 573.281 * * [simplify]: Extracting #1: cost 45 inf + 0 573.281 * * [simplify]: Extracting #2: cost 88 inf + 1 573.282 * * [simplify]: Extracting #3: cost 117 inf + 1 573.283 * * [simplify]: Extracting #4: cost 136 inf + 2 573.285 * * [simplify]: Extracting #5: cost 126 inf + 934 573.289 * * [simplify]: Extracting #6: cost 71 inf + 16741 573.301 * * [simplify]: Extracting #7: cost 38 inf + 31102 573.314 * * [simplify]: Extracting #8: cost 2 inf + 55706 573.326 * * [simplify]: Extracting #9: cost 0 inf + 57072 573.338 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 573.338 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 573.339 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 573.339 * * [simplify]: iters left: 6 (19 enodes) 573.346 * * [simplify]: iters left: 5 (66 enodes) 573.367 * * [simplify]: iters left: 4 (104 enodes) 573.389 * * [simplify]: iters left: 3 (168 enodes) 573.424 * * [simplify]: iters left: 2 (228 enodes) 573.487 * * [simplify]: iters left: 1 (311 enodes) 573.593 * * [simplify]: Extracting #0: cost 1 inf + 0 573.593 * * [simplify]: Extracting #1: cost 13 inf + 0 573.593 * * [simplify]: Extracting #2: cost 23 inf + 2 573.594 * * [simplify]: Extracting #3: cost 41 inf + 126 573.594 * * [simplify]: Extracting #4: cost 60 inf + 168 573.595 * * [simplify]: Extracting #5: cost 60 inf + 230 573.596 * * [simplify]: Extracting #6: cost 38 inf + 3405 573.599 * * [simplify]: Extracting #7: cost 11 inf + 10547 573.605 * * [simplify]: Extracting #8: cost 1 inf + 15235 573.612 * * [simplify]: Extracting #9: cost 0 inf + 15898 573.618 * [simplify]: Simplified to (* a1 (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) 573.619 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (* a1 (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 573.619 * * * * [progress]: [ 773 / 4148 ] simplifiying candidate # 573.619 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 1))) (* (cbrt a1) (cbrt a1)))) 573.620 * * [simplify]: iters left: 6 (23 enodes) 573.632 * * [simplify]: iters left: 5 (88 enodes) 573.660 * * [simplify]: iters left: 4 (171 enodes) 573.704 * * [simplify]: iters left: 3 (372 enodes) 573.901 * * [simplify]: Extracting #0: cost 1 inf + 0 573.901 * * [simplify]: Extracting #1: cost 79 inf + 0 573.902 * * [simplify]: Extracting #2: cost 174 inf + 1 573.904 * * [simplify]: Extracting #3: cost 186 inf + 529 573.906 * * [simplify]: Extracting #4: cost 193 inf + 1950 573.911 * * [simplify]: Extracting #5: cost 149 inf + 16033 573.938 * * [simplify]: Extracting #6: cost 18 inf + 84264 573.972 * * [simplify]: Extracting #7: cost 0 inf + 93442 573.991 * [simplify]: Simplified to (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 573.991 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 573.991 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 573.991 * * [simplify]: iters left: 6 (18 enodes) 573.996 * * [simplify]: iters left: 5 (63 enodes) 574.017 * * [simplify]: iters left: 4 (101 enodes) 574.034 * * [simplify]: iters left: 3 (165 enodes) 574.079 * * [simplify]: iters left: 2 (223 enodes) 574.143 * * [simplify]: iters left: 1 (301 enodes) 574.256 * * [simplify]: Extracting #0: cost 1 inf + 0 574.256 * * [simplify]: Extracting #1: cost 13 inf + 0 574.256 * * [simplify]: Extracting #2: cost 25 inf + 1 574.256 * * [simplify]: Extracting #3: cost 41 inf + 164 574.257 * * [simplify]: Extracting #4: cost 58 inf + 408 574.258 * * [simplify]: Extracting #5: cost 55 inf + 471 574.259 * * [simplify]: Extracting #6: cost 43 inf + 2432 574.262 * * [simplify]: Extracting #7: cost 13 inf + 10218 574.268 * * [simplify]: Extracting #8: cost 0 inf + 15334 574.274 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) 574.275 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 574.275 * * * * [progress]: [ 774 / 4148 ] simplifiying candidate # 574.275 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 1))) (sqrt a1))) 574.276 * * [simplify]: iters left: 6 (22 enodes) 574.287 * * [simplify]: iters left: 5 (83 enodes) 574.311 * * [simplify]: iters left: 4 (158 enodes) 574.348 * * [simplify]: iters left: 3 (316 enodes) 574.441 * * [simplify]: Extracting #0: cost 1 inf + 0 574.441 * * [simplify]: Extracting #1: cost 52 inf + 0 574.442 * * [simplify]: Extracting #2: cost 105 inf + 1 574.443 * * [simplify]: Extracting #3: cost 118 inf + 247 574.444 * * [simplify]: Extracting #4: cost 132 inf + 616 574.445 * * [simplify]: Extracting #5: cost 124 inf + 1529 574.453 * * [simplify]: Extracting #6: cost 52 inf + 29043 574.471 * * [simplify]: Extracting #7: cost 1 inf + 54284 574.482 * * [simplify]: Extracting #8: cost 0 inf + 54788 574.495 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)) 574.496 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 574.496 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 574.496 * * [simplify]: iters left: 6 (18 enodes) 574.504 * * [simplify]: iters left: 5 (63 enodes) 574.525 * * [simplify]: iters left: 4 (101 enodes) 574.558 * * [simplify]: iters left: 3 (165 enodes) 574.585 * * [simplify]: iters left: 2 (223 enodes) 574.653 * * [simplify]: iters left: 1 (301 enodes) 574.744 * * [simplify]: Extracting #0: cost 1 inf + 0 574.744 * * [simplify]: Extracting #1: cost 13 inf + 0 574.744 * * [simplify]: Extracting #2: cost 25 inf + 1 574.744 * * [simplify]: Extracting #3: cost 41 inf + 84 574.744 * * [simplify]: Extracting #4: cost 58 inf + 248 574.745 * * [simplify]: Extracting #5: cost 55 inf + 311 574.745 * * [simplify]: Extracting #6: cost 43 inf + 2272 574.747 * * [simplify]: Extracting #7: cost 13 inf + 9858 574.750 * * [simplify]: Extracting #8: cost 0 inf + 14854 574.753 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 574.753 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 574.753 * * * * [progress]: [ 775 / 4148 ] simplifiying candidate # 574.753 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt 1))) 1)) 574.754 * * [simplify]: iters left: 6 (21 enodes) 574.761 * * [simplify]: iters left: 5 (78 enodes) 574.789 * * [simplify]: iters left: 4 (141 enodes) 574.838 * * [simplify]: iters left: 3 (242 enodes) 574.923 * * [simplify]: iters left: 2 (387 enodes) 575.078 * * [simplify]: Extracting #0: cost 1 inf + 0 575.079 * * [simplify]: Extracting #1: cost 24 inf + 0 575.079 * * [simplify]: Extracting #2: cost 43 inf + 1 575.079 * * [simplify]: Extracting #3: cost 70 inf + 1 575.080 * * [simplify]: Extracting #4: cost 88 inf + 2 575.081 * * [simplify]: Extracting #5: cost 76 inf + 1521 575.086 * * [simplify]: Extracting #6: cost 30 inf + 14009 575.098 * * [simplify]: Extracting #7: cost 2 inf + 25222 575.112 * * [simplify]: Extracting #8: cost 0 inf + 26308 575.125 * [simplify]: Simplified to (* (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) 575.126 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 575.126 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 575.126 * * [simplify]: iters left: 6 (17 enodes) 575.135 * * [simplify]: iters left: 5 (60 enodes) 575.156 * * [simplify]: iters left: 4 (98 enodes) 575.187 * * [simplify]: iters left: 3 (162 enodes) 575.227 * * [simplify]: iters left: 2 (221 enodes) 575.275 * * [simplify]: iters left: 1 (304 enodes) 575.407 * * [simplify]: Extracting #0: cost 1 inf + 0 575.407 * * [simplify]: Extracting #1: cost 13 inf + 0 575.407 * * [simplify]: Extracting #2: cost 22 inf + 44 575.407 * * [simplify]: Extracting #3: cost 39 inf + 168 575.408 * * [simplify]: Extracting #4: cost 58 inf + 168 575.408 * * [simplify]: Extracting #5: cost 48 inf + 1180 575.410 * * [simplify]: Extracting #6: cost 8 inf + 11352 575.413 * * [simplify]: Extracting #7: cost 0 inf + 14454 575.416 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2))))) 575.416 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 575.416 * * * * [progress]: [ 776 / 4148 ] simplifiying candidate # 575.416 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 575.417 * * [simplify]: iters left: 6 (23 enodes) 575.422 * * [simplify]: iters left: 5 (88 enodes) 575.438 * * [simplify]: iters left: 4 (171 enodes) 575.472 * * [simplify]: iters left: 3 (385 enodes) 575.647 * * [simplify]: Extracting #0: cost 1 inf + 0 575.648 * * [simplify]: Extracting #1: cost 94 inf + 0 575.648 * * [simplify]: Extracting #2: cost 200 inf + 0 575.652 * * [simplify]: Extracting #3: cost 217 inf + 203 575.653 * * [simplify]: Extracting #4: cost 233 inf + 406 575.656 * * [simplify]: Extracting #5: cost 195 inf + 12128 575.671 * * [simplify]: Extracting #6: cost 121 inf + 45954 575.711 * * [simplify]: Extracting #7: cost 24 inf + 119002 575.762 * * [simplify]: Extracting #8: cost 0 inf + 139292 575.789 * [simplify]: Simplified to (/ (* (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 575.789 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt a1) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 575.790 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 575.790 * * [simplify]: iters left: 6 (20 enodes) 575.796 * * [simplify]: iters left: 5 (69 enodes) 575.809 * * [simplify]: iters left: 4 (107 enodes) 575.840 * * [simplify]: iters left: 3 (171 enodes) 575.868 * * [simplify]: iters left: 2 (232 enodes) 575.953 * * [simplify]: iters left: 1 (310 enodes) 576.074 * * [simplify]: Extracting #0: cost 1 inf + 0 576.074 * * [simplify]: Extracting #1: cost 13 inf + 0 576.074 * * [simplify]: Extracting #2: cost 25 inf + 1 576.074 * * [simplify]: Extracting #3: cost 42 inf + 164 576.075 * * [simplify]: Extracting #4: cost 60 inf + 408 576.075 * * [simplify]: Extracting #5: cost 60 inf + 470 576.075 * * [simplify]: Extracting #6: cost 45 inf + 2351 576.077 * * [simplify]: Extracting #7: cost 11 inf + 10906 576.080 * * [simplify]: Extracting #8: cost 0 inf + 16778 576.084 * [simplify]: Simplified to (* (/ (cbrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) 576.084 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (* (/ (cbrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 576.084 * * * * [progress]: [ 777 / 4148 ] simplifiying candidate # 576.084 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 576.084 * * [simplify]: iters left: 6 (22 enodes) 576.090 * * [simplify]: iters left: 5 (83 enodes) 576.107 * * [simplify]: iters left: 4 (158 enodes) 576.135 * * [simplify]: iters left: 3 (327 enodes) 576.237 * * [simplify]: Extracting #0: cost 1 inf + 0 576.238 * * [simplify]: Extracting #1: cost 68 inf + 0 576.238 * * [simplify]: Extracting #2: cost 123 inf + 0 576.239 * * [simplify]: Extracting #3: cost 141 inf + 42 576.239 * * [simplify]: Extracting #4: cost 159 inf + 84 576.240 * * [simplify]: Extracting #5: cost 150 inf + 920 576.241 * * [simplify]: Extracting #6: cost 118 inf + 7657 576.246 * * [simplify]: Extracting #7: cost 68 inf + 34849 576.274 * * [simplify]: Extracting #8: cost 15 inf + 70779 576.289 * * [simplify]: Extracting #9: cost 0 inf + 81823 576.304 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 576.304 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 576.305 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 576.305 * * [simplify]: iters left: 6 (20 enodes) 576.310 * * [simplify]: iters left: 5 (69 enodes) 576.323 * * [simplify]: iters left: 4 (107 enodes) 576.353 * * [simplify]: iters left: 3 (171 enodes) 576.386 * * [simplify]: iters left: 2 (232 enodes) 576.445 * * [simplify]: iters left: 1 (310 enodes) 576.561 * * [simplify]: Extracting #0: cost 1 inf + 0 576.561 * * [simplify]: Extracting #1: cost 13 inf + 0 576.561 * * [simplify]: Extracting #2: cost 25 inf + 1 576.562 * * [simplify]: Extracting #3: cost 42 inf + 84 576.562 * * [simplify]: Extracting #4: cost 60 inf + 248 576.562 * * [simplify]: Extracting #5: cost 60 inf + 310 576.563 * * [simplify]: Extracting #6: cost 45 inf + 2191 576.564 * * [simplify]: Extracting #7: cost 11 inf + 10586 576.567 * * [simplify]: Extracting #8: cost 0 inf + 16298 576.571 * [simplify]: Simplified to (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) 576.571 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (* (/ (sqrt a1) (cbrt (cbrt (sqrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 576.571 * * * * [progress]: [ 778 / 4148 ] simplifiying candidate # 576.571 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) 576.571 * * [simplify]: iters left: 6 (21 enodes) 576.577 * * [simplify]: iters left: 5 (78 enodes) 576.591 * * [simplify]: iters left: 4 (141 enodes) 576.633 * * [simplify]: iters left: 3 (265 enodes) 576.734 * * [simplify]: iters left: 2 (430 enodes) 576.930 * * [simplify]: Extracting #0: cost 1 inf + 0 576.930 * * [simplify]: Extracting #1: cost 45 inf + 0 576.931 * * [simplify]: Extracting #2: cost 88 inf + 1 576.932 * * [simplify]: Extracting #3: cost 117 inf + 1 576.933 * * [simplify]: Extracting #4: cost 136 inf + 2 576.934 * * [simplify]: Extracting #5: cost 126 inf + 934 576.938 * * [simplify]: Extracting #6: cost 71 inf + 16741 576.950 * * [simplify]: Extracting #7: cost 38 inf + 31102 576.971 * * [simplify]: Extracting #8: cost 2 inf + 55706 576.996 * * [simplify]: Extracting #9: cost 0 inf + 57072 577.021 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) 577.021 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 577.021 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt (sqrt 2)))) a1)) 577.022 * * [simplify]: iters left: 6 (19 enodes) 577.031 * * [simplify]: iters left: 5 (66 enodes) 577.054 * * [simplify]: iters left: 4 (104 enodes) 577.092 * * [simplify]: iters left: 3 (168 enodes) 577.146 * * [simplify]: iters left: 2 (228 enodes) 577.204 * * [simplify]: iters left: 1 (311 enodes) 577.348 * * [simplify]: Extracting #0: cost 1 inf + 0 577.348 * * [simplify]: Extracting #1: cost 13 inf + 0 577.348 * * [simplify]: Extracting #2: cost 23 inf + 2 577.348 * * [simplify]: Extracting #3: cost 41 inf + 126 577.349 * * [simplify]: Extracting #4: cost 60 inf + 168 577.349 * * [simplify]: Extracting #5: cost 60 inf + 230 577.350 * * [simplify]: Extracting #6: cost 38 inf + 3405 577.354 * * [simplify]: Extracting #7: cost 11 inf + 10547 577.360 * * [simplify]: Extracting #8: cost 1 inf + 15235 577.366 * * [simplify]: Extracting #9: cost 0 inf + 15898 577.373 * [simplify]: Simplified to (* a1 (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2)))))) 577.373 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) 1)) (* a1 (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 577.374 * * * * [progress]: [ 779 / 4148 ] simplifiying candidate # 577.374 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt 1)) (* (cbrt a1) (cbrt a1)))) 577.374 * * [simplify]: iters left: 6 (22 enodes) 577.386 * * [simplify]: iters left: 5 (85 enodes) 577.415 * * [simplify]: iters left: 4 (162 enodes) 577.477 * * [simplify]: iters left: 3 (365 enodes) 577.638 * * [simplify]: Extracting #0: cost 1 inf + 0 577.638 * * [simplify]: Extracting #1: cost 72 inf + 0 577.639 * * [simplify]: Extracting #2: cost 152 inf + 1 577.641 * * [simplify]: Extracting #3: cost 164 inf + 286 577.643 * * [simplify]: Extracting #4: cost 172 inf + 1747 577.649 * * [simplify]: Extracting #5: cost 121 inf + 19752 577.676 * * [simplify]: Extracting #6: cost 19 inf + 72438 577.710 * * [simplify]: Extracting #7: cost 0 inf + 84041 577.741 * * [simplify]: Extracting #8: cost 0 inf + 83961 577.758 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 577.758 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 577.758 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 577.758 * * [simplify]: iters left: 6 (18 enodes) 577.766 * * [simplify]: iters left: 5 (63 enodes) 577.779 * * [simplify]: iters left: 4 (101 enodes) 577.812 * * [simplify]: iters left: 3 (165 enodes) 577.850 * * [simplify]: iters left: 2 (223 enodes) 577.917 * * [simplify]: iters left: 1 (301 enodes) 578.031 * * [simplify]: Extracting #0: cost 1 inf + 0 578.031 * * [simplify]: Extracting #1: cost 13 inf + 0 578.031 * * [simplify]: Extracting #2: cost 25 inf + 1 578.032 * * [simplify]: Extracting #3: cost 41 inf + 164 578.032 * * [simplify]: Extracting #4: cost 58 inf + 408 578.033 * * [simplify]: Extracting #5: cost 55 inf + 471 578.034 * * [simplify]: Extracting #6: cost 43 inf + 2432 578.037 * * [simplify]: Extracting #7: cost 13 inf + 10218 578.043 * * [simplify]: Extracting #8: cost 0 inf + 15334 578.050 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) 578.050 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 578.050 * * * * [progress]: [ 780 / 4148 ] simplifiying candidate # 578.051 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt 1)) (sqrt a1))) 578.051 * * [simplify]: iters left: 6 (21 enodes) 578.062 * * [simplify]: iters left: 5 (80 enodes) 578.084 * * [simplify]: iters left: 4 (146 enodes) 578.121 * * [simplify]: iters left: 3 (276 enodes) 578.195 * * [simplify]: iters left: 2 (487 enodes) 578.391 * * [simplify]: Extracting #0: cost 1 inf + 0 578.391 * * [simplify]: Extracting #1: cost 41 inf + 0 578.391 * * [simplify]: Extracting #2: cost 77 inf + 1 578.392 * * [simplify]: Extracting #3: cost 100 inf + 84 578.392 * * [simplify]: Extracting #4: cost 117 inf + 248 578.393 * * [simplify]: Extracting #5: cost 108 inf + 838 578.397 * * [simplify]: Extracting #6: cost 33 inf + 27187 578.406 * * [simplify]: Extracting #7: cost 0 inf + 42745 578.424 * * [simplify]: Extracting #8: cost 0 inf + 42705 578.445 * [simplify]: Simplified to (* (sqrt a1) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) 578.445 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 578.446 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 578.446 * * [simplify]: iters left: 6 (18 enodes) 578.455 * * [simplify]: iters left: 5 (63 enodes) 578.477 * * [simplify]: iters left: 4 (101 enodes) 578.513 * * [simplify]: iters left: 3 (165 enodes) 578.565 * * [simplify]: iters left: 2 (223 enodes) 578.648 * * [simplify]: iters left: 1 (301 enodes) 578.788 * * [simplify]: Extracting #0: cost 1 inf + 0 578.788 * * [simplify]: Extracting #1: cost 13 inf + 0 578.788 * * [simplify]: Extracting #2: cost 25 inf + 1 578.788 * * [simplify]: Extracting #3: cost 41 inf + 84 578.789 * * [simplify]: Extracting #4: cost 58 inf + 248 578.789 * * [simplify]: Extracting #5: cost 55 inf + 311 578.790 * * [simplify]: Extracting #6: cost 43 inf + 2272 578.793 * * [simplify]: Extracting #7: cost 13 inf + 9858 578.799 * * [simplify]: Extracting #8: cost 0 inf + 14854 578.806 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 578.806 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt a1) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 578.806 * * * * [progress]: [ 781 / 4148 ] simplifiying candidate # 578.807 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (cbrt 1)) 1)) 578.807 * * [simplify]: iters left: 6 (20 enodes) 578.819 * * [simplify]: iters left: 5 (75 enodes) 578.845 * * [simplify]: iters left: 4 (126 enodes) 578.889 * * [simplify]: iters left: 3 (207 enodes) 578.961 * * [simplify]: iters left: 2 (299 enodes) 579.081 * * [simplify]: iters left: 1 (449 enodes) 579.293 * * [simplify]: Extracting #0: cost 1 inf + 0 579.293 * * [simplify]: Extracting #1: cost 19 inf + 0 579.293 * * [simplify]: Extracting #2: cost 35 inf + 1 579.294 * * [simplify]: Extracting #3: cost 55 inf + 1 579.294 * * [simplify]: Extracting #4: cost 73 inf + 2 579.295 * * [simplify]: Extracting #5: cost 59 inf + 1959 579.298 * * [simplify]: Extracting #6: cost 37 inf + 6264 579.304 * * [simplify]: Extracting #7: cost 12 inf + 15411 579.316 * * [simplify]: Extracting #8: cost 2 inf + 20444 579.329 * * [simplify]: Extracting #9: cost 0 inf + 21490 579.341 * [simplify]: Simplified to (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 579.341 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 579.342 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 579.342 * * [simplify]: iters left: 6 (17 enodes) 579.346 * * [simplify]: iters left: 5 (60 enodes) 579.357 * * [simplify]: iters left: 4 (98 enodes) 579.376 * * [simplify]: iters left: 3 (162 enodes) 579.422 * * [simplify]: iters left: 2 (221 enodes) 579.486 * * [simplify]: iters left: 1 (304 enodes) 579.618 * * [simplify]: Extracting #0: cost 1 inf + 0 579.618 * * [simplify]: Extracting #1: cost 13 inf + 0 579.618 * * [simplify]: Extracting #2: cost 22 inf + 44 579.618 * * [simplify]: Extracting #3: cost 39 inf + 168 579.618 * * [simplify]: Extracting #4: cost 58 inf + 168 579.618 * * [simplify]: Extracting #5: cost 48 inf + 1180 579.620 * * [simplify]: Extracting #6: cost 8 inf + 11352 579.623 * * [simplify]: Extracting #7: cost 0 inf + 14454 579.626 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2))))) 579.627 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cos th) (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 579.627 * * * * [progress]: [ 782 / 4148 ] simplifiying candidate # 579.627 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 579.627 * * [simplify]: iters left: 6 (21 enodes) 579.633 * * [simplify]: iters left: 5 (82 enodes) 579.652 * * [simplify]: iters left: 4 (165 enodes) 579.696 * * [simplify]: iters left: 3 (379 enodes) 579.875 * * [simplify]: Extracting #0: cost 1 inf + 0 579.875 * * [simplify]: Extracting #1: cost 94 inf + 0 579.876 * * [simplify]: Extracting #2: cost 199 inf + 0 579.877 * * [simplify]: Extracting #3: cost 213 inf + 203 579.878 * * [simplify]: Extracting #4: cost 229 inf + 406 579.880 * * [simplify]: Extracting #5: cost 178 inf + 18040 579.907 * * [simplify]: Extracting #6: cost 39 inf + 103694 579.960 * * [simplify]: Extracting #7: cost 0 inf + 131368 580.011 * * [simplify]: Extracting #8: cost 0 inf + 131248 580.037 * [simplify]: Simplified to (/ (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 580.037 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 580.038 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 580.038 * * [simplify]: iters left: 6 (19 enodes) 580.043 * * [simplify]: iters left: 5 (66 enodes) 580.057 * * [simplify]: iters left: 4 (104 enodes) 580.074 * * [simplify]: iters left: 3 (168 enodes) 580.118 * * [simplify]: iters left: 2 (228 enodes) 580.201 * * [simplify]: iters left: 1 (312 enodes) 580.347 * * [simplify]: Extracting #0: cost 1 inf + 0 580.348 * * [simplify]: Extracting #1: cost 13 inf + 0 580.348 * * [simplify]: Extracting #2: cost 25 inf + 1 580.348 * * [simplify]: Extracting #3: cost 42 inf + 83 580.348 * * [simplify]: Extracting #4: cost 58 inf + 408 580.349 * * [simplify]: Extracting #5: cost 58 inf + 470 580.350 * * [simplify]: Extracting #6: cost 41 inf + 2937 580.354 * * [simplify]: Extracting #7: cost 14 inf + 9839 580.360 * * [simplify]: Extracting #8: cost 1 inf + 15993 580.366 * * [simplify]: Extracting #9: cost 0 inf + 16696 580.373 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 580.373 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 580.374 * * * * [progress]: [ 783 / 4148 ] simplifiying candidate # 580.374 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 580.375 * * [simplify]: iters left: 6 (20 enodes) 580.381 * * [simplify]: iters left: 5 (77 enodes) 580.395 * * [simplify]: iters left: 4 (152 enodes) 580.429 * * [simplify]: iters left: 3 (321 enodes) 580.518 * * [simplify]: Extracting #0: cost 1 inf + 0 580.518 * * [simplify]: Extracting #1: cost 68 inf + 0 580.518 * * [simplify]: Extracting #2: cost 122 inf + 0 580.519 * * [simplify]: Extracting #3: cost 139 inf + 1 580.519 * * [simplify]: Extracting #4: cost 155 inf + 84 580.520 * * [simplify]: Extracting #5: cost 148 inf + 655 580.524 * * [simplify]: Extracting #6: cost 86 inf + 23935 580.549 * * [simplify]: Extracting #7: cost 14 inf + 66857 580.581 * * [simplify]: Extracting #8: cost 0 inf + 76459 580.610 * [simplify]: Simplified to (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) 580.610 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 580.611 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 580.611 * * [simplify]: iters left: 6 (19 enodes) 580.616 * * [simplify]: iters left: 5 (66 enodes) 580.627 * * [simplify]: iters left: 4 (104 enodes) 580.654 * * [simplify]: iters left: 3 (168 enodes) 580.707 * * [simplify]: iters left: 2 (228 enodes) 580.792 * * [simplify]: iters left: 1 (312 enodes) 580.906 * * [simplify]: Extracting #0: cost 1 inf + 0 580.906 * * [simplify]: Extracting #1: cost 13 inf + 0 580.907 * * [simplify]: Extracting #2: cost 25 inf + 1 580.907 * * [simplify]: Extracting #3: cost 42 inf + 43 580.907 * * [simplify]: Extracting #4: cost 58 inf + 248 580.908 * * [simplify]: Extracting #5: cost 58 inf + 310 580.909 * * [simplify]: Extracting #6: cost 41 inf + 2777 580.912 * * [simplify]: Extracting #7: cost 14 inf + 9639 580.918 * * [simplify]: Extracting #8: cost 1 inf + 15553 580.925 * * [simplify]: Extracting #9: cost 0 inf + 16216 580.932 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 580.932 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 580.932 * * * * [progress]: [ 784 / 4148 ] simplifiying candidate # 580.933 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) 580.933 * * [simplify]: iters left: 6 (19 enodes) 580.943 * * [simplify]: iters left: 5 (72 enodes) 580.969 * * [simplify]: iters left: 4 (135 enodes) 581.019 * * [simplify]: iters left: 3 (259 enodes) 581.101 * * [simplify]: iters left: 2 (422 enodes) 581.318 * * [simplify]: Extracting #0: cost 1 inf + 0 581.318 * * [simplify]: Extracting #1: cost 45 inf + 0 581.319 * * [simplify]: Extracting #2: cost 87 inf + 1 581.320 * * [simplify]: Extracting #3: cost 114 inf + 1 581.321 * * [simplify]: Extracting #4: cost 132 inf + 2 581.322 * * [simplify]: Extracting #5: cost 123 inf + 592 581.329 * * [simplify]: Extracting #6: cost 58 inf + 24166 581.350 * * [simplify]: Extracting #7: cost 8 inf + 49823 581.371 * * [simplify]: Extracting #8: cost 0 inf + 54108 581.384 * [simplify]: Simplified to (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 581.384 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 581.384 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 581.384 * * [simplify]: iters left: 6 (18 enodes) 581.389 * * [simplify]: iters left: 5 (63 enodes) 581.409 * * [simplify]: iters left: 4 (101 enodes) 581.441 * * [simplify]: iters left: 3 (165 enodes) 581.494 * * [simplify]: iters left: 2 (223 enodes) 581.561 * * [simplify]: iters left: 1 (300 enodes) 581.658 * * [simplify]: Extracting #0: cost 1 inf + 0 581.658 * * [simplify]: Extracting #1: cost 13 inf + 0 581.658 * * [simplify]: Extracting #2: cost 22 inf + 44 581.658 * * [simplify]: Extracting #3: cost 39 inf + 168 581.659 * * [simplify]: Extracting #4: cost 58 inf + 168 581.659 * * [simplify]: Extracting #5: cost 58 inf + 230 581.659 * * [simplify]: Extracting #6: cost 42 inf + 2956 581.661 * * [simplify]: Extracting #7: cost 13 inf + 10779 581.664 * * [simplify]: Extracting #8: cost 0 inf + 15816 581.668 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 581.668 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 581.668 * * * * [progress]: [ 785 / 4148 ] simplifiying candidate # 581.668 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 581.668 * * [simplify]: iters left: 6 (22 enodes) 581.675 * * [simplify]: iters left: 5 (85 enodes) 581.690 * * [simplify]: iters left: 4 (168 enodes) 581.733 * * [simplify]: iters left: 3 (382 enodes) 582.382 * * [simplify]: Extracting #0: cost 1 inf + 0 582.383 * * [simplify]: Extracting #1: cost 96 inf + 0 582.384 * * [simplify]: Extracting #2: cost 204 inf + 0 582.385 * * [simplify]: Extracting #3: cost 220 inf + 82 582.386 * * [simplify]: Extracting #4: cost 237 inf + 285 582.388 * * [simplify]: Extracting #5: cost 208 inf + 7823 582.396 * * [simplify]: Extracting #6: cost 122 inf + 49404 582.424 * * [simplify]: Extracting #7: cost 24 inf + 115037 582.478 * * [simplify]: Extracting #8: cost 0 inf + 132765 582.530 * [simplify]: Simplified to (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) 582.530 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1)) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt a1))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 582.531 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (cbrt a1))) 582.531 * * [simplify]: iters left: 6 (19 enodes) 582.540 * * [simplify]: iters left: 5 (66 enodes) 582.563 * * [simplify]: iters left: 4 (104 enodes) 582.596 * * [simplify]: iters left: 3 (168 enodes) 582.652 * * [simplify]: iters left: 2 (228 enodes) 582.735 * * [simplify]: iters left: 1 (312 enodes) 582.844 * * [simplify]: Extracting #0: cost 1 inf + 0 582.845 * * [simplify]: Extracting #1: cost 13 inf + 0 582.845 * * [simplify]: Extracting #2: cost 25 inf + 1 582.845 * * [simplify]: Extracting #3: cost 42 inf + 83 582.846 * * [simplify]: Extracting #4: cost 58 inf + 408 582.846 * * [simplify]: Extracting #5: cost 58 inf + 470 582.847 * * [simplify]: Extracting #6: cost 41 inf + 2857 582.851 * * [simplify]: Extracting #7: cost 14 inf + 9679 582.857 * * [simplify]: Extracting #8: cost 1 inf + 15473 582.860 * * [simplify]: Extracting #9: cost 0 inf + 16136 582.864 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) 582.864 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 582.864 * * * * [progress]: [ 786 / 4148 ] simplifiying candidate # 582.864 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 582.864 * * [simplify]: iters left: 6 (21 enodes) 582.870 * * [simplify]: iters left: 5 (80 enodes) 582.884 * * [simplify]: iters left: 4 (155 enodes) 582.928 * * [simplify]: iters left: 3 (322 enodes) 583.061 * * [simplify]: Extracting #0: cost 1 inf + 0 583.062 * * [simplify]: Extracting #1: cost 68 inf + 0 583.062 * * [simplify]: Extracting #2: cost 123 inf + 0 583.063 * * [simplify]: Extracting #3: cost 140 inf + 42 583.064 * * [simplify]: Extracting #4: cost 157 inf + 84 583.064 * * [simplify]: Extracting #5: cost 147 inf + 1141 583.067 * * [simplify]: Extracting #6: cost 97 inf + 17677 583.074 * * [simplify]: Extracting #7: cost 48 inf + 44388 583.097 * * [simplify]: Extracting #8: cost 2 inf + 74756 583.127 * * [simplify]: Extracting #9: cost 0 inf + 75981 583.153 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 583.153 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 583.154 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) 583.154 * * [simplify]: iters left: 6 (19 enodes) 583.158 * * [simplify]: iters left: 5 (66 enodes) 583.172 * * [simplify]: iters left: 4 (104 enodes) 583.199 * * [simplify]: iters left: 3 (168 enodes) 583.252 * * [simplify]: iters left: 2 (228 enodes) 583.317 * * [simplify]: iters left: 1 (312 enodes) 583.419 * * [simplify]: Extracting #0: cost 1 inf + 0 583.420 * * [simplify]: Extracting #1: cost 13 inf + 0 583.420 * * [simplify]: Extracting #2: cost 25 inf + 1 583.420 * * [simplify]: Extracting #3: cost 42 inf + 43 583.420 * * [simplify]: Extracting #4: cost 58 inf + 248 583.420 * * [simplify]: Extracting #5: cost 58 inf + 310 583.421 * * [simplify]: Extracting #6: cost 41 inf + 2697 583.422 * * [simplify]: Extracting #7: cost 14 inf + 9479 583.425 * * [simplify]: Extracting #8: cost 1 inf + 15033 583.429 * * [simplify]: Extracting #9: cost 0 inf + 15656 583.432 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2)))))) 583.432 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 583.432 * * * * [progress]: [ 787 / 4148 ] simplifiying candidate # 583.433 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) 583.433 * * [simplify]: iters left: 6 (20 enodes) 583.438 * * [simplify]: iters left: 5 (75 enodes) 583.458 * * [simplify]: iters left: 4 (138 enodes) 583.507 * * [simplify]: iters left: 3 (260 enodes) 583.587 * * [simplify]: iters left: 2 (421 enodes) 583.787 * * [simplify]: Extracting #0: cost 1 inf + 0 583.787 * * [simplify]: Extracting #1: cost 46 inf + 0 583.787 * * [simplify]: Extracting #2: cost 89 inf + 1 583.788 * * [simplify]: Extracting #3: cost 117 inf + 1 583.788 * * [simplify]: Extracting #4: cost 135 inf + 2 583.789 * * [simplify]: Extracting #5: cost 125 inf + 774 583.795 * * [simplify]: Extracting #6: cost 61 inf + 23967 583.811 * * [simplify]: Extracting #7: cost 3 inf + 52807 583.824 * * [simplify]: Extracting #8: cost 0 inf + 54293 583.839 * [simplify]: Simplified to (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) 583.839 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (cbrt (sqrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 583.840 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 583.840 * * [simplify]: iters left: 6 (18 enodes) 583.853 * * [simplify]: iters left: 5 (63 enodes) 583.866 * * [simplify]: iters left: 4 (101 enodes) 583.883 * * [simplify]: iters left: 3 (165 enodes) 583.918 * * [simplify]: iters left: 2 (223 enodes) 583.976 * * [simplify]: iters left: 1 (300 enodes) 584.076 * * [simplify]: Extracting #0: cost 1 inf + 0 584.076 * * [simplify]: Extracting #1: cost 13 inf + 0 584.076 * * [simplify]: Extracting #2: cost 22 inf + 44 584.077 * * [simplify]: Extracting #3: cost 39 inf + 168 584.077 * * [simplify]: Extracting #4: cost 58 inf + 168 584.077 * * [simplify]: Extracting #5: cost 58 inf + 230 584.078 * * [simplify]: Extracting #6: cost 42 inf + 2796 584.079 * * [simplify]: Extracting #7: cost 13 inf + 10339 584.082 * * [simplify]: Extracting #8: cost 0 inf + 15256 584.085 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1)) 584.085 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (sqrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 584.086 * * * * [progress]: [ 788 / 4148 ] simplifiying candidate # 584.086 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt 1) (* (cbrt a1) (cbrt a1)))) 584.086 * * [simplify]: iters left: 6 (21 enodes) 584.093 * * [simplify]: iters left: 5 (82 enodes) 584.124 * * [simplify]: iters left: 4 (159 enodes) 584.157 * * [simplify]: iters left: 3 (362 enodes) 584.329 * * [simplify]: Extracting #0: cost 1 inf + 0 584.329 * * [simplify]: Extracting #1: cost 71 inf + 0 584.330 * * [simplify]: Extracting #2: cost 151 inf + 1 584.331 * * [simplify]: Extracting #3: cost 166 inf + 2 584.331 * * [simplify]: Extracting #4: cost 181 inf + 368 584.334 * * [simplify]: Extracting #5: cost 137 inf + 12729 584.346 * * [simplify]: Extracting #6: cost 15 inf + 75874 584.374 * * [simplify]: Extracting #7: cost 0 inf + 84003 584.409 * * [simplify]: Extracting #8: cost 0 inf + 83963 584.440 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) 584.440 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 584.440 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 584.440 * * [simplify]: iters left: 6 (18 enodes) 584.445 * * [simplify]: iters left: 5 (63 enodes) 584.456 * * [simplify]: iters left: 4 (101 enodes) 584.473 * * [simplify]: iters left: 3 (165 enodes) 584.506 * * [simplify]: iters left: 2 (223 enodes) 584.589 * * [simplify]: iters left: 1 (301 enodes) 584.730 * * [simplify]: Extracting #0: cost 1 inf + 0 584.730 * * [simplify]: Extracting #1: cost 13 inf + 0 584.730 * * [simplify]: Extracting #2: cost 25 inf + 1 584.730 * * [simplify]: Extracting #3: cost 41 inf + 164 584.731 * * [simplify]: Extracting #4: cost 58 inf + 408 584.731 * * [simplify]: Extracting #5: cost 55 inf + 471 584.732 * * [simplify]: Extracting #6: cost 43 inf + 2432 584.736 * * [simplify]: Extracting #7: cost 13 inf + 10218 584.742 * * [simplify]: Extracting #8: cost 0 inf + 15334 584.748 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) 584.748 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 584.748 * * * * [progress]: [ 789 / 4148 ] simplifiying candidate # 584.749 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt 1) (sqrt a1))) 584.749 * * [simplify]: iters left: 6 (20 enodes) 584.763 * * [simplify]: iters left: 5 (77 enodes) 584.790 * * [simplify]: iters left: 4 (143 enodes) 584.832 * * [simplify]: iters left: 3 (275 enodes) 584.927 * * [simplify]: iters left: 2 (485 enodes) 585.119 * * [simplify]: Extracting #0: cost 1 inf + 0 585.119 * * [simplify]: Extracting #1: cost 43 inf + 0 585.120 * * [simplify]: Extracting #2: cost 78 inf + 1 585.121 * * [simplify]: Extracting #3: cost 102 inf + 43 585.122 * * [simplify]: Extracting #4: cost 119 inf + 166 585.123 * * [simplify]: Extracting #5: cost 109 inf + 959 585.130 * * [simplify]: Extracting #6: cost 34 inf + 28630 585.140 * * [simplify]: Extracting #7: cost 0 inf + 43368 585.150 * [simplify]: Simplified to (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)) 585.151 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 585.151 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 585.151 * * [simplify]: iters left: 6 (18 enodes) 585.156 * * [simplify]: iters left: 5 (63 enodes) 585.171 * * [simplify]: iters left: 4 (101 enodes) 585.208 * * [simplify]: iters left: 3 (165 enodes) 585.237 * * [simplify]: iters left: 2 (223 enodes) 585.296 * * [simplify]: iters left: 1 (301 enodes) 585.386 * * [simplify]: Extracting #0: cost 1 inf + 0 585.386 * * [simplify]: Extracting #1: cost 13 inf + 0 585.386 * * [simplify]: Extracting #2: cost 25 inf + 1 585.386 * * [simplify]: Extracting #3: cost 41 inf + 84 585.386 * * [simplify]: Extracting #4: cost 58 inf + 248 585.387 * * [simplify]: Extracting #5: cost 55 inf + 311 585.387 * * [simplify]: Extracting #6: cost 43 inf + 2272 585.389 * * [simplify]: Extracting #7: cost 13 inf + 9858 585.392 * * [simplify]: Extracting #8: cost 0 inf + 14854 585.395 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 585.395 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt 1) (sqrt a1))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 585.395 * * * * [progress]: [ 790 / 4148 ] simplifiying candidate # 585.395 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt 1) 1)) 585.395 * * [simplify]: iters left: 6 (19 enodes) 585.403 * * [simplify]: iters left: 5 (72 enodes) 585.429 * * [simplify]: iters left: 4 (123 enodes) 585.467 * * [simplify]: iters left: 3 (206 enodes) 585.511 * * [simplify]: iters left: 2 (299 enodes) 585.608 * * [simplify]: iters left: 1 (457 enodes) 585.807 * * [simplify]: Extracting #0: cost 1 inf + 0 585.807 * * [simplify]: Extracting #1: cost 19 inf + 0 585.808 * * [simplify]: Extracting #2: cost 37 inf + 1 585.808 * * [simplify]: Extracting #3: cost 57 inf + 1 585.809 * * [simplify]: Extracting #4: cost 75 inf + 2 585.810 * * [simplify]: Extracting #5: cost 67 inf + 591 585.815 * * [simplify]: Extracting #6: cost 20 inf + 15083 585.823 * * [simplify]: Extracting #7: cost 1 inf + 22235 585.830 * * [simplify]: Extracting #8: cost 0 inf + 22698 585.837 * [simplify]: Simplified to (* (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) 585.837 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (cos th) (/ (cbrt (sqrt 2)) (/ a1 (cbrt (sqrt 2)))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 585.837 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 585.838 * * [simplify]: iters left: 6 (17 enodes) 585.842 * * [simplify]: iters left: 5 (60 enodes) 585.852 * * [simplify]: iters left: 4 (98 enodes) 585.886 * * [simplify]: iters left: 3 (162 enodes) 585.937 * * [simplify]: iters left: 2 (221 enodes) 586.001 * * [simplify]: iters left: 1 (304 enodes) 586.097 * * [simplify]: Extracting #0: cost 1 inf + 0 586.097 * * [simplify]: Extracting #1: cost 13 inf + 0 586.097 * * [simplify]: Extracting #2: cost 22 inf + 44 586.097 * * [simplify]: Extracting #3: cost 39 inf + 168 586.097 * * [simplify]: Extracting #4: cost 58 inf + 168 586.098 * * [simplify]: Extracting #5: cost 48 inf + 1180 586.100 * * [simplify]: Extracting #6: cost 8 inf + 11352 586.103 * * [simplify]: Extracting #7: cost 0 inf + 14454 586.106 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2))))) 586.106 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt 1) 1)) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 586.106 * * * * [progress]: [ 791 / 4148 ] simplifiying candidate # 586.106 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 586.106 * * [simplify]: iters left: 6 (22 enodes) 586.112 * * [simplify]: iters left: 5 (89 enodes) 586.133 * * [simplify]: iters left: 4 (200 enodes) 586.191 * * [simplify]: Extracting #0: cost 1 inf + 0 586.191 * * [simplify]: Extracting #1: cost 76 inf + 0 586.192 * * [simplify]: Extracting #2: cost 161 inf + 0 586.192 * * [simplify]: Extracting #3: cost 187 inf + 82 586.193 * * [simplify]: Extracting #4: cost 200 inf + 285 586.196 * * [simplify]: Extracting #5: cost 160 inf + 14428 586.208 * * [simplify]: Extracting #6: cost 33 inf + 83797 586.226 * * [simplify]: Extracting #7: cost 0 inf + 104066 586.245 * * [simplify]: Extracting #8: cost 0 inf + 103986 586.273 * [simplify]: Simplified to (* (* (cbrt a1) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt a1) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) 586.273 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt a1) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (* (cbrt a1) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 586.274 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 586.274 * * [simplify]: iters left: 6 (19 enodes) 586.283 * * [simplify]: iters left: 5 (66 enodes) 586.306 * * [simplify]: iters left: 4 (104 enodes) 586.323 * * [simplify]: iters left: 3 (168 enodes) 586.364 * * [simplify]: iters left: 2 (228 enodes) 586.448 * * [simplify]: iters left: 1 (312 enodes) 586.555 * * [simplify]: Extracting #0: cost 1 inf + 0 586.555 * * [simplify]: Extracting #1: cost 13 inf + 0 586.555 * * [simplify]: Extracting #2: cost 25 inf + 1 586.556 * * [simplify]: Extracting #3: cost 42 inf + 83 586.556 * * [simplify]: Extracting #4: cost 58 inf + 408 586.556 * * [simplify]: Extracting #5: cost 58 inf + 470 586.557 * * [simplify]: Extracting #6: cost 41 inf + 2937 586.558 * * [simplify]: Extracting #7: cost 14 inf + 9839 586.561 * * [simplify]: Extracting #8: cost 1 inf + 15993 586.564 * * [simplify]: Extracting #9: cost 0 inf + 16696 586.568 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 586.568 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 586.569 * * * * [progress]: [ 792 / 4148 ] simplifiying candidate # 586.569 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 586.569 * * [simplify]: iters left: 6 (21 enodes) 586.580 * * [simplify]: iters left: 5 (82 enodes) 586.609 * * [simplify]: iters left: 4 (168 enodes) 586.675 * * [simplify]: iters left: 3 (414 enodes) 586.844 * * [simplify]: Extracting #0: cost 1 inf + 0 586.845 * * [simplify]: Extracting #1: cost 116 inf + 0 586.845 * * [simplify]: Extracting #2: cost 224 inf + 0 586.846 * * [simplify]: Extracting #3: cost 239 inf + 42 586.848 * * [simplify]: Extracting #4: cost 256 inf + 84 586.850 * * [simplify]: Extracting #5: cost 214 inf + 14094 586.870 * * [simplify]: Extracting #6: cost 48 inf + 111224 586.918 * * [simplify]: Extracting #7: cost 0 inf + 139634 586.955 * * [simplify]: Extracting #8: cost 0 inf + 139394 586.986 * [simplify]: Simplified to (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) 586.986 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 586.987 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 586.987 * * [simplify]: iters left: 6 (19 enodes) 586.997 * * [simplify]: iters left: 5 (66 enodes) 587.019 * * [simplify]: iters left: 4 (104 enodes) 587.054 * * [simplify]: iters left: 3 (168 enodes) 587.107 * * [simplify]: iters left: 2 (228 enodes) 587.169 * * [simplify]: iters left: 1 (312 enodes) 587.275 * * [simplify]: Extracting #0: cost 1 inf + 0 587.275 * * [simplify]: Extracting #1: cost 13 inf + 0 587.275 * * [simplify]: Extracting #2: cost 25 inf + 1 587.275 * * [simplify]: Extracting #3: cost 42 inf + 43 587.276 * * [simplify]: Extracting #4: cost 58 inf + 248 587.277 * * [simplify]: Extracting #5: cost 58 inf + 310 587.277 * * [simplify]: Extracting #6: cost 41 inf + 2777 587.281 * * [simplify]: Extracting #7: cost 14 inf + 9639 587.287 * * [simplify]: Extracting #8: cost 1 inf + 15553 587.294 * * [simplify]: Extracting #9: cost 0 inf + 16216 587.301 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2)))))) 587.301 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 587.301 * * * * [progress]: [ 793 / 4148 ] simplifiying candidate # 587.302 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) 587.302 * * [simplify]: iters left: 6 (20 enodes) 587.312 * * [simplify]: iters left: 5 (77 enodes) 587.340 * * [simplify]: iters left: 4 (158 enodes) 587.405 * * [simplify]: iters left: 3 (370 enodes) 587.539 * * [simplify]: Extracting #0: cost 1 inf + 0 587.539 * * [simplify]: Extracting #1: cost 63 inf + 0 587.540 * * [simplify]: Extracting #2: cost 131 inf + 1 587.540 * * [simplify]: Extracting #3: cost 149 inf + 1 587.541 * * [simplify]: Extracting #4: cost 166 inf + 44 587.542 * * [simplify]: Extracting #5: cost 162 inf + 311 587.543 * * [simplify]: Extracting #6: cost 154 inf + 1646 587.546 * * [simplify]: Extracting #7: cost 88 inf + 28358 587.566 * * [simplify]: Extracting #8: cost 15 inf + 68200 587.598 * * [simplify]: Extracting #9: cost 0 inf + 76868 587.630 * [simplify]: Simplified to (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))) 587.630 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (* (/ a1 (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (cbrt (sqrt 2))))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 587.630 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 587.631 * * [simplify]: iters left: 6 (18 enodes) 587.640 * * [simplify]: iters left: 5 (63 enodes) 587.664 * * [simplify]: iters left: 4 (101 enodes) 587.697 * * [simplify]: iters left: 3 (165 enodes) 587.739 * * [simplify]: iters left: 2 (223 enodes) 587.787 * * [simplify]: iters left: 1 (300 enodes) 587.877 * * [simplify]: Extracting #0: cost 1 inf + 0 587.877 * * [simplify]: Extracting #1: cost 13 inf + 0 587.877 * * [simplify]: Extracting #2: cost 22 inf + 44 587.877 * * [simplify]: Extracting #3: cost 39 inf + 168 587.877 * * [simplify]: Extracting #4: cost 58 inf + 168 587.877 * * [simplify]: Extracting #5: cost 58 inf + 230 587.878 * * [simplify]: Extracting #6: cost 42 inf + 2956 587.880 * * [simplify]: Extracting #7: cost 13 inf + 10779 587.883 * * [simplify]: Extracting #8: cost 0 inf + 15816 587.886 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 587.886 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (* (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt (cbrt (cbrt (sqrt 2))))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 587.886 * * * * [progress]: [ 794 / 4148 ] simplifiying candidate # 587.886 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 587.886 * * [simplify]: iters left: 6 (21 enodes) 587.892 * * [simplify]: iters left: 5 (82 enodes) 587.907 * * [simplify]: iters left: 4 (165 enodes) 587.945 * * [simplify]: iters left: 3 (379 enodes) 588.092 * * [simplify]: Extracting #0: cost 1 inf + 0 588.092 * * [simplify]: Extracting #1: cost 94 inf + 0 588.093 * * [simplify]: Extracting #2: cost 199 inf + 0 588.094 * * [simplify]: Extracting #3: cost 213 inf + 203 588.095 * * [simplify]: Extracting #4: cost 229 inf + 406 588.097 * * [simplify]: Extracting #5: cost 178 inf + 17440 588.114 * * [simplify]: Extracting #6: cost 39 inf + 97054 588.149 * * [simplify]: Extracting #7: cost 0 inf + 122248 588.178 * * [simplify]: Extracting #8: cost 0 inf + 122008 588.209 * [simplify]: Simplified to (/ (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (sqrt (cbrt (cbrt (sqrt 2))))) 588.209 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (* (cbrt a1) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 588.209 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 588.209 * * [simplify]: iters left: 6 (19 enodes) 588.215 * * [simplify]: iters left: 5 (66 enodes) 588.226 * * [simplify]: iters left: 4 (104 enodes) 588.259 * * [simplify]: iters left: 3 (168 enodes) 588.315 * * [simplify]: iters left: 2 (228 enodes) 588.366 * * [simplify]: iters left: 1 (312 enodes) 588.511 * * [simplify]: Extracting #0: cost 1 inf + 0 588.511 * * [simplify]: Extracting #1: cost 13 inf + 0 588.511 * * [simplify]: Extracting #2: cost 25 inf + 1 588.511 * * [simplify]: Extracting #3: cost 42 inf + 83 588.512 * * [simplify]: Extracting #4: cost 58 inf + 408 588.512 * * [simplify]: Extracting #5: cost 58 inf + 470 588.513 * * [simplify]: Extracting #6: cost 41 inf + 2937 588.517 * * [simplify]: Extracting #7: cost 14 inf + 9759 588.523 * * [simplify]: Extracting #8: cost 1 inf + 15553 588.530 * * [simplify]: Extracting #9: cost 0 inf + 16216 588.537 * [simplify]: Simplified to (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) 588.537 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (* (cbrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 588.537 * * * * [progress]: [ 795 / 4148 ] simplifiying candidate # 588.538 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 588.538 * * [simplify]: iters left: 6 (20 enodes) 588.549 * * [simplify]: iters left: 5 (77 enodes) 588.575 * * [simplify]: iters left: 4 (152 enodes) 588.633 * * [simplify]: iters left: 3 (321 enodes) 588.751 * * [simplify]: Extracting #0: cost 1 inf + 0 588.751 * * [simplify]: Extracting #1: cost 68 inf + 0 588.751 * * [simplify]: Extracting #2: cost 122 inf + 0 588.752 * * [simplify]: Extracting #3: cost 139 inf + 1 588.752 * * [simplify]: Extracting #4: cost 155 inf + 84 588.753 * * [simplify]: Extracting #5: cost 148 inf + 655 588.758 * * [simplify]: Extracting #6: cost 86 inf + 22615 588.781 * * [simplify]: Extracting #7: cost 14 inf + 62137 588.803 * * [simplify]: Extracting #8: cost 0 inf + 71059 588.818 * [simplify]: Simplified to (/ (* (sqrt a1) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (sqrt (cbrt (cbrt (sqrt 2))))) 588.818 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (sqrt a1) (* (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 588.818 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 588.818 * * [simplify]: iters left: 6 (19 enodes) 588.823 * * [simplify]: iters left: 5 (66 enodes) 588.840 * * [simplify]: iters left: 4 (104 enodes) 588.873 * * [simplify]: iters left: 3 (168 enodes) 588.926 * * [simplify]: iters left: 2 (228 enodes) 589.012 * * [simplify]: iters left: 1 (312 enodes) 589.142 * * [simplify]: Extracting #0: cost 1 inf + 0 589.142 * * [simplify]: Extracting #1: cost 13 inf + 0 589.142 * * [simplify]: Extracting #2: cost 25 inf + 1 589.143 * * [simplify]: Extracting #3: cost 42 inf + 43 589.143 * * [simplify]: Extracting #4: cost 58 inf + 248 589.143 * * [simplify]: Extracting #5: cost 58 inf + 310 589.144 * * [simplify]: Extracting #6: cost 41 inf + 2777 589.145 * * [simplify]: Extracting #7: cost 14 inf + 9559 589.148 * * [simplify]: Extracting #8: cost 1 inf + 15113 589.152 * * [simplify]: Extracting #9: cost 0 inf + 15736 589.155 * [simplify]: Simplified to (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2)))))) 589.155 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) (* (sqrt a1) (/ (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (sqrt (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 589.155 * * * * [progress]: [ 796 / 4148 ] simplifiying candidate # 589.156 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) 589.156 * * [simplify]: iters left: 6 (19 enodes) 589.164 * * [simplify]: iters left: 5 (72 enodes) 589.193 * * [simplify]: iters left: 4 (135 enodes) 589.219 * * [simplify]: iters left: 3 (259 enodes) 589.319 * * [simplify]: iters left: 2 (422 enodes) 589.513 * * [simplify]: Extracting #0: cost 1 inf + 0 589.513 * * [simplify]: Extracting #1: cost 45 inf + 0 589.514 * * [simplify]: Extracting #2: cost 87 inf + 1 589.514 * * [simplify]: Extracting #3: cost 114 inf + 1 589.515 * * [simplify]: Extracting #4: cost 132 inf + 2 589.515 * * [simplify]: Extracting #5: cost 123 inf + 592 589.519 * * [simplify]: Extracting #6: cost 58 inf + 23366 589.537 * * [simplify]: Extracting #7: cost 8 inf + 46663 589.548 * * [simplify]: Extracting #8: cost 0 inf + 50668 589.560 * [simplify]: Simplified to (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) 589.560 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (sqrt (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 589.560 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 589.561 * * [simplify]: iters left: 6 (18 enodes) 589.569 * * [simplify]: iters left: 5 (63 enodes) 589.590 * * [simplify]: iters left: 4 (101 enodes) 589.623 * * [simplify]: iters left: 3 (165 enodes) 589.675 * * [simplify]: iters left: 2 (223 enodes) 589.754 * * [simplify]: iters left: 1 (300 enodes) 589.840 * * [simplify]: Extracting #0: cost 1 inf + 0 589.840 * * [simplify]: Extracting #1: cost 13 inf + 0 589.840 * * [simplify]: Extracting #2: cost 22 inf + 44 589.840 * * [simplify]: Extracting #3: cost 39 inf + 168 589.840 * * [simplify]: Extracting #4: cost 58 inf + 168 589.840 * * [simplify]: Extracting #5: cost 58 inf + 230 589.841 * * [simplify]: Extracting #6: cost 42 inf + 2876 589.843 * * [simplify]: Extracting #7: cost 13 inf + 10419 589.846 * * [simplify]: Extracting #8: cost 0 inf + 15336 589.853 * [simplify]: Simplified to (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1)) 589.853 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) 1)) (/ (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 589.853 * * * * [progress]: [ 797 / 4148 ] simplifiying candidate # 589.854 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (* (cbrt a1) (cbrt a1)))) 589.854 * * [simplify]: iters left: 6 (20 enodes) 589.864 * * [simplify]: iters left: 5 (79 enodes) 589.895 * * [simplify]: iters left: 4 (158 enodes) 589.928 * * [simplify]: iters left: 3 (342 enodes) 590.092 * * [simplify]: Extracting #0: cost 1 inf + 0 590.092 * * [simplify]: Extracting #1: cost 71 inf + 0 590.093 * * [simplify]: Extracting #2: cost 145 inf + 1 590.094 * * [simplify]: Extracting #3: cost 161 inf + 2 590.096 * * [simplify]: Extracting #4: cost 174 inf + 450 590.098 * * [simplify]: Extracting #5: cost 158 inf + 2538 590.110 * * [simplify]: Extracting #6: cost 69 inf + 42722 590.132 * * [simplify]: Extracting #7: cost 4 inf + 78970 590.150 * * [simplify]: Extracting #8: cost 0 inf + 81083 590.167 * [simplify]: Simplified to (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) 590.167 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2)))) (/ (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt a1)) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 590.168 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (cbrt a1))) 590.168 * * [simplify]: iters left: 6 (18 enodes) 590.175 * * [simplify]: iters left: 5 (63 enodes) 590.186 * * [simplify]: iters left: 4 (101 enodes) 590.215 * * [simplify]: iters left: 3 (165 enodes) 590.265 * * [simplify]: iters left: 2 (223 enodes) 590.307 * * [simplify]: iters left: 1 (301 enodes) 590.410 * * [simplify]: Extracting #0: cost 1 inf + 0 590.410 * * [simplify]: Extracting #1: cost 13 inf + 0 590.410 * * [simplify]: Extracting #2: cost 25 inf + 1 590.410 * * [simplify]: Extracting #3: cost 41 inf + 164 590.410 * * [simplify]: Extracting #4: cost 58 inf + 408 590.411 * * [simplify]: Extracting #5: cost 55 inf + 471 590.411 * * [simplify]: Extracting #6: cost 43 inf + 2432 590.413 * * [simplify]: Extracting #7: cost 13 inf + 10218 590.416 * * [simplify]: Extracting #8: cost 0 inf + 15334 590.420 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2))))) 590.420 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (* (cbrt a1) (cbrt a1)))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (cbrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 590.421 * * * * [progress]: [ 798 / 4148 ] simplifiying candidate # 590.421 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (sqrt a1))) 590.421 * * [simplify]: iters left: 6 (19 enodes) 590.431 * * [simplify]: iters left: 5 (74 enodes) 590.459 * * [simplify]: iters left: 4 (145 enodes) 590.486 * * [simplify]: iters left: 3 (283 enodes) 590.602 * * [simplify]: iters left: 2 (485 enodes) 590.866 * * [simplify]: Extracting #0: cost 1 inf + 0 590.866 * * [simplify]: Extracting #1: cost 36 inf + 0 590.866 * * [simplify]: Extracting #2: cost 88 inf + 1 590.867 * * [simplify]: Extracting #3: cost 111 inf + 84 590.867 * * [simplify]: Extracting #4: cost 128 inf + 248 590.868 * * [simplify]: Extracting #5: cost 115 inf + 1647 590.871 * * [simplify]: Extracting #6: cost 55 inf + 22138 590.881 * * [simplify]: Extracting #7: cost 2 inf + 48794 590.904 * * [simplify]: Extracting #8: cost 0 inf + 49920 590.923 * [simplify]: Simplified to (* (* (sqrt a1) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) 590.924 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt a1) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) (/ (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (/ (cbrt (sqrt 2)) a1)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 590.924 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) (sqrt a1))) 590.924 * * [simplify]: iters left: 6 (18 enodes) 590.929 * * [simplify]: iters left: 5 (63 enodes) 590.940 * * [simplify]: iters left: 4 (101 enodes) 590.961 * * [simplify]: iters left: 3 (165 enodes) 591.013 * * [simplify]: iters left: 2 (223 enodes) 591.079 * * [simplify]: iters left: 1 (301 enodes) 591.163 * * [simplify]: Extracting #0: cost 1 inf + 0 591.163 * * [simplify]: Extracting #1: cost 13 inf + 0 591.163 * * [simplify]: Extracting #2: cost 25 inf + 1 591.163 * * [simplify]: Extracting #3: cost 41 inf + 84 591.164 * * [simplify]: Extracting #4: cost 58 inf + 248 591.164 * * [simplify]: Extracting #5: cost 55 inf + 311 591.164 * * [simplify]: Extracting #6: cost 43 inf + 2272 591.166 * * [simplify]: Extracting #7: cost 13 inf + 9858 591.169 * * [simplify]: Extracting #8: cost 0 inf + 14854 591.172 * [simplify]: Simplified to (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2))))) 591.172 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 (sqrt a1))) (* (cbrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (/ (sqrt a1) (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 591.172 * * * * [progress]: [ 799 / 4148 ] simplifiying candidate # 591.172 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 1)) 591.173 * * [simplify]: iters left: 6 (18 enodes) 591.177 * * [simplify]: iters left: 5 (67 enodes) 591.196 * * [simplify]: iters left: 4 (119 enodes) 591.223 * * [simplify]: iters left: 3 (192 enodes) 591.257 * * [simplify]: iters left: 2 (271 enodes) 591.332 * * [simplify]: iters left: 1 (348 enodes) 591.450 * * [simplify]: Extracting #0: cost 1 inf + 0 591.450 * * [simplify]: Extracting #1: cost 13 inf + 0 591.450 * * [simplify]: Extracting #2: cost 24 inf + 1 591.451 * * [simplify]: Extracting #3: cost 44 inf + 1 591.451 * * [simplify]: Extracting #4: cost 63 inf + 2 591.452 * * [simplify]: Extracting #5: cost 50 inf + 1541 591.455 * * [simplify]: Extracting #6: cost 17 inf + 9994 591.462 * * [simplify]: Extracting #7: cost 0 inf + 17302 591.470 * * [simplify]: Extracting #8: cost 0 inf + 17262 591.478 * [simplify]: Simplified to (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2))))) 591.478 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (/ (/ a1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (cos th))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 591.479 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 591.479 * * [simplify]: iters left: 6 (17 enodes) 591.487 * * [simplify]: iters left: 5 (60 enodes) 591.508 * * [simplify]: iters left: 4 (98 enodes) 591.535 * * [simplify]: iters left: 3 (162 enodes) 591.565 * * [simplify]: iters left: 2 (221 enodes) 591.626 * * [simplify]: iters left: 1 (304 enodes) 591.723 * * [simplify]: Extracting #0: cost 1 inf + 0 591.723 * * [simplify]: Extracting #1: cost 13 inf + 0 591.723 * * [simplify]: Extracting #2: cost 22 inf + 44 591.724 * * [simplify]: Extracting #3: cost 39 inf + 168 591.724 * * [simplify]: Extracting #4: cost 58 inf + 168 591.724 * * [simplify]: Extracting #5: cost 48 inf + 1180 591.726 * * [simplify]: Extracting #6: cost 8 inf + 11352 591.729 * * [simplify]: Extracting #7: cost 0 inf + 14454 591.732 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2))))) 591.732 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (/ 1 1)) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 591.733 * * * * [progress]: [ 800 / 4148 ] simplifiying candidate # 591.733 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) 591.733 * * [simplify]: iters left: 6 (17 enodes) 591.738 * * [simplify]: iters left: 5 (64 enodes) 591.760 * * [simplify]: iters left: 4 (122 enodes) 591.793 * * [simplify]: iters left: 3 (201 enodes) 591.855 * * [simplify]: iters left: 2 (271 enodes) 591.906 * * [simplify]: iters left: 1 (330 enodes) 592.040 * * [simplify]: Extracting #0: cost 1 inf + 0 592.040 * * [simplify]: Extracting #1: cost 13 inf + 0 592.041 * * [simplify]: Extracting #2: cost 24 inf + 1 592.041 * * [simplify]: Extracting #3: cost 44 inf + 1 592.041 * * [simplify]: Extracting #4: cost 62 inf + 2 592.041 * * [simplify]: Extracting #5: cost 52 inf + 976 592.043 * * [simplify]: Extracting #6: cost 17 inf + 11075 592.046 * * [simplify]: Extracting #7: cost 1 inf + 16557 592.050 * * [simplify]: Extracting #8: cost 0 inf + 17060 592.053 * [simplify]: Simplified to (* (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) 592.053 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2)))) (/ (cbrt (/ (* (cos th) (/ a1 (cbrt (sqrt 2)))) (cbrt (sqrt 2)))) (cbrt (cbrt (sqrt 2))))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 592.054 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ (cbrt (cbrt (sqrt 2))) a1)) 592.054 * * [simplify]: iters left: 6 (17 enodes) 592.059 * * [simplify]: iters left: 5 (60 enodes) 592.073 * * [simplify]: iters left: 4 (98 enodes) 592.105 * * [simplify]: iters left: 3 (162 enodes) 592.155 * * [simplify]: iters left: 2 (221 enodes) 592.238 * * [simplify]: iters left: 1 (304 enodes) 592.347 * * [simplify]: Extracting #0: cost 1 inf + 0 592.348 * * [simplify]: Extracting #1: cost 13 inf + 0 592.348 * * [simplify]: Extracting #2: cost 22 inf + 44 592.348 * * [simplify]: Extracting #3: cost 39 inf + 168 592.348 * * [simplify]: Extracting #4: cost 58 inf + 168 592.349 * * [simplify]: Extracting #5: cost 48 inf + 1180 592.351 * * [simplify]: Extracting #6: cost 8 inf + 11352 592.354 * * [simplify]: Extracting #7: cost 0 inf + 14454 592.361 * [simplify]: Simplified to (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2))))) 592.361 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) 1) (* (cbrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (/ a1 (cbrt (cbrt (sqrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 592.361 * * * * [progress]: [ 801 / 4148 ] simplifiying candidate # 592.361 * [simplify]: Simplifying (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) 592.362 * * [simplify]: iters left: 6 (17 enodes) 592.371 * * [simplify]: iters left: 5 (66 enodes) 592.394 * * [simplify]: iters left: 4 (123 enodes) 592.419 * * [simplify]: iters left: 3 (217 enodes) 592.502 * * [simplify]: iters left: 2 (431 enodes) 592.953 * * [simplify]: Extracting #0: cost 1 inf + 0 592.953 * * [simplify]: Extracting #1: cost 26 inf + 0 592.953 * * [simplify]: Extracting #2: cost 65 inf + 1 592.954 * * [simplify]: Extracting #3: cost 231 inf + 4 592.958 * * [simplify]: Extracting #4: cost 422 inf + 89 592.961 * * [simplify]: Extracting #5: cost 412 inf + 923 592.968 * * [simplify]: Extracting #6: cost 270 inf + 55489 592.990 * * [simplify]: Extracting #7: cost 19 inf + 174781 593.034 * * [simplify]: Extracting #8: cost 0 inf + 185684 593.072 * [simplify]: Simplified to (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) 593.072 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2))))) (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ a1 (cbrt (sqrt 2)))))) (cbrt (sqrt 2))) (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ 1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 593.072 * [simplify]: Simplifying (/ (/ (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (/ 1 1)) (/ 1 a1)) 593.073 * * [simplify]: iters left: 6 (16 enodes) 593.081 * * [simplify]: iters left: 5 (57 enodes) 593.101 * * [simplify]: iters left: 4 (90 enodes) 593.117 * * [simplify]: iters left: 3 (144 enodes) 593.141 * * [simplify]: iters left: 2 (193 enodes) 593.181 * * [simplify]: iters left: 1 (250 enodes) 593.255 * * [simplify]: Extracting #0: cost 1 inf + 0 593.255 * * [simplify]: Extracting #1: cost 6 inf + 0 593.255 * * [simplify]: Extracting #2: cost 7 inf + 2 593.255 * * [simplify]: Extracting #3: cost 24 inf + 44 593.256 * * [simplify]: Extracting #4: cost 43 inf + 86 593.256 * * [simplify]: Extracting #5: cost 43 inf + 148 593.256 * * [simplify]: Extracting #6: cost 31 inf + 1627 593.257 * * [simplify]: Extracting #7: cost 7 inf + 7542 593.259 * * [simplify]: Extracting #8: cost 0 inf + 9258 593.262 * [simplify]: Simplified to (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) a1) 593.262 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (* (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1)))) (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (cbrt (sqrt 2)))) (* (cbrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 593.262 * * * * [progress]: [ 802 / 4148 ] simplifiying candidate # 593.262 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) 593.263 * * [simplify]: iters left: 6 (22 enodes) 593.268 * * [simplify]: iters left: 5 (79 enodes) 593.282 * * [simplify]: iters left: 4 (134 enodes) 593.324 * * [simplify]: iters left: 3 (223 enodes) 593.385 * * [simplify]: iters left: 2 (284 enodes) 593.461 * * [simplify]: iters left: 1 (341 enodes) 593.576 * * [simplify]: Extracting #0: cost 1 inf + 0 593.576 * * [simplify]: Extracting #1: cost 18 inf + 0 593.577 * * [simplify]: Extracting #2: cost 37 inf + 0 593.577 * * [simplify]: Extracting #3: cost 61 inf + 0 593.577 * * [simplify]: Extracting #4: cost 81 inf + 2 593.578 * * [simplify]: Extracting #5: cost 81 inf + 64 593.579 * * [simplify]: Extracting #6: cost 77 inf + 330 593.579 * * [simplify]: Extracting #7: cost 70 inf + 1423 593.582 * * [simplify]: Extracting #8: cost 36 inf + 10171 593.588 * * [simplify]: Extracting #9: cost 24 inf + 13876 593.594 * * [simplify]: Extracting #10: cost 10 inf + 21329 593.604 * * [simplify]: Extracting #11: cost 1 inf + 27153 593.609 * * [simplify]: Extracting #12: cost 0 inf + 27936 593.614 * [simplify]: Simplified to (/ (sqrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))))) 593.614 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (* (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 593.614 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) 593.614 * * [simplify]: iters left: 6 (20 enodes) 593.619 * * [simplify]: iters left: 5 (69 enodes) 593.631 * * [simplify]: iters left: 4 (111 enodes) 593.649 * * [simplify]: iters left: 3 (168 enodes) 593.701 * * [simplify]: iters left: 2 (217 enodes) 593.742 * * [simplify]: iters left: 1 (280 enodes) 593.835 * * [simplify]: Extracting #0: cost 1 inf + 0 593.835 * * [simplify]: Extracting #1: cost 8 inf + 0 593.835 * * [simplify]: Extracting #2: cost 17 inf + 0 593.835 * * [simplify]: Extracting #3: cost 41 inf + 0 593.835 * * [simplify]: Extracting #4: cost 60 inf + 2 593.835 * * [simplify]: Extracting #5: cost 60 inf + 64 593.836 * * [simplify]: Extracting #6: cost 49 inf + 1443 593.837 * * [simplify]: Extracting #7: cost 15 inf + 10034 593.839 * * [simplify]: Extracting #8: cost 4 inf + 13415 593.842 * * [simplify]: Extracting #9: cost 0 inf + 15966 593.845 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 593.845 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (* (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 593.845 * * * * [progress]: [ 803 / 4148 ] simplifiying candidate # 593.845 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 593.845 * * [simplify]: iters left: 6 (21 enodes) 593.853 * * [simplify]: iters left: 5 (74 enodes) 593.872 * * [simplify]: iters left: 4 (121 enodes) 593.892 * * [simplify]: iters left: 3 (188 enodes) 593.949 * * [simplify]: iters left: 2 (238 enodes) 594.016 * * [simplify]: iters left: 1 (301 enodes) 594.129 * * [simplify]: Extracting #0: cost 1 inf + 0 594.129 * * [simplify]: Extracting #1: cost 12 inf + 0 594.129 * * [simplify]: Extracting #2: cost 25 inf + 0 594.129 * * [simplify]: Extracting #3: cost 49 inf + 0 594.130 * * [simplify]: Extracting #4: cost 69 inf + 2 594.130 * * [simplify]: Extracting #5: cost 69 inf + 64 594.130 * * [simplify]: Extracting #6: cost 58 inf + 1422 594.132 * * [simplify]: Extracting #7: cost 22 inf + 10235 594.134 * * [simplify]: Extracting #8: cost 13 inf + 13293 594.137 * * [simplify]: Extracting #9: cost 2 inf + 19020 594.140 * * [simplify]: Extracting #10: cost 0 inf + 20266 594.145 * [simplify]: Simplified to (/ (/ (/ (sqrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 594.145 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (sqrt (/ (/ (cos th) (/ (cbrt (sqrt 2)) a1)) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 594.146 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) 594.146 * * [simplify]: iters left: 6 (20 enodes) 594.151 * * [simplify]: iters left: 5 (69 enodes) 594.164 * * [simplify]: iters left: 4 (111 enodes) 594.189 * * [simplify]: iters left: 3 (168 enodes) 594.223 * * [simplify]: iters left: 2 (217 enodes) 594.280 * * [simplify]: iters left: 1 (280 enodes) 594.397 * * [simplify]: Extracting #0: cost 1 inf + 0 594.398 * * [simplify]: Extracting #1: cost 8 inf + 0 594.398 * * [simplify]: Extracting #2: cost 17 inf + 0 594.398 * * [simplify]: Extracting #3: cost 41 inf + 0 594.398 * * [simplify]: Extracting #4: cost 60 inf + 2 594.398 * * [simplify]: Extracting #5: cost 60 inf + 64 594.398 * * [simplify]: Extracting #6: cost 49 inf + 1443 594.400 * * [simplify]: Extracting #7: cost 15 inf + 10034 594.402 * * [simplify]: Extracting #8: cost 4 inf + 13255 594.405 * * [simplify]: Extracting #9: cost 0 inf + 15646 594.407 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 594.407 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (sqrt (/ (cbrt (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 594.408 * * * * [progress]: [ 804 / 4148 ] simplifiying candidate # 594.408 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) 594.408 * * [simplify]: iters left: 6 (24 enodes) 594.415 * * [simplify]: iters left: 5 (87 enodes) 594.446 * * [simplify]: iters left: 4 (152 enodes) 594.498 * * [simplify]: iters left: 3 (278 enodes) 594.563 * * [simplify]: iters left: 2 (493 enodes) 594.763 * * [simplify]: Extracting #0: cost 1 inf + 0 594.764 * * [simplify]: Extracting #1: cost 61 inf + 0 594.765 * * [simplify]: Extracting #2: cost 132 inf + 0 594.766 * * [simplify]: Extracting #3: cost 161 inf + 82 594.767 * * [simplify]: Extracting #4: cost 179 inf + 285 594.769 * * [simplify]: Extracting #5: cost 176 inf + 631 594.772 * * [simplify]: Extracting #6: cost 141 inf + 9776 594.780 * * [simplify]: Extracting #7: cost 74 inf + 40814 594.795 * * [simplify]: Extracting #8: cost 10 inf + 83671 594.822 * * [simplify]: Extracting #9: cost 0 inf + 91016 594.862 * [simplify]: Simplified to (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (* (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) 594.863 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (* (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) a1)) (* (* (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 594.863 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 594.864 * * [simplify]: iters left: 6 (21 enodes) 594.874 * * [simplify]: iters left: 5 (74 enodes) 594.892 * * [simplify]: iters left: 4 (124 enodes) 594.916 * * [simplify]: iters left: 3 (199 enodes) 594.956 * * [simplify]: iters left: 2 (266 enodes) 595.043 * * [simplify]: iters left: 1 (348 enodes) 595.140 * * [simplify]: Extracting #0: cost 1 inf + 0 595.140 * * [simplify]: Extracting #1: cost 21 inf + 0 595.140 * * [simplify]: Extracting #2: cost 44 inf + 0 595.140 * * [simplify]: Extracting #3: cost 65 inf + 82 595.141 * * [simplify]: Extracting #4: cost 83 inf + 164 595.141 * * [simplify]: Extracting #5: cost 83 inf + 226 595.142 * * [simplify]: Extracting #6: cost 73 inf + 1522 595.143 * * [simplify]: Extracting #7: cost 38 inf + 9951 595.147 * * [simplify]: Extracting #8: cost 5 inf + 26472 595.152 * * [simplify]: Extracting #9: cost 0 inf + 29323 595.157 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1))) 595.157 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 595.157 * * * * [progress]: [ 805 / 4148 ] simplifiying candidate # 595.157 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) 595.157 * * [simplify]: iters left: 6 (23 enodes) 595.163 * * [simplify]: iters left: 5 (82 enodes) 595.188 * * [simplify]: iters left: 4 (139 enodes) 595.212 * * [simplify]: iters left: 3 (236 enodes) 595.255 * * [simplify]: iters left: 2 (339 enodes) 595.343 * * [simplify]: iters left: 1 (458 enodes) 595.535 * * [simplify]: Extracting #0: cost 1 inf + 0 595.535 * * [simplify]: Extracting #1: cost 36 inf + 0 595.535 * * [simplify]: Extracting #2: cost 70 inf + 0 595.536 * * [simplify]: Extracting #3: cost 92 inf + 42 595.536 * * [simplify]: Extracting #4: cost 112 inf + 84 595.537 * * [simplify]: Extracting #5: cost 110 inf + 350 595.537 * * [simplify]: Extracting #6: cost 106 inf + 574 595.539 * * [simplify]: Extracting #7: cost 60 inf + 14050 595.545 * * [simplify]: Extracting #8: cost 24 inf + 31773 595.554 * * [simplify]: Extracting #9: cost 4 inf + 45281 595.564 * * [simplify]: Extracting #10: cost 0 inf + 48250 595.583 * [simplify]: Simplified to (/ (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) 595.583 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 595.584 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 595.584 * * [simplify]: iters left: 6 (21 enodes) 595.595 * * [simplify]: iters left: 5 (74 enodes) 595.619 * * [simplify]: iters left: 4 (124 enodes) 595.663 * * [simplify]: iters left: 3 (199 enodes) 595.725 * * [simplify]: iters left: 2 (266 enodes) 595.785 * * [simplify]: iters left: 1 (348 enodes) 595.889 * * [simplify]: Extracting #0: cost 1 inf + 0 595.889 * * [simplify]: Extracting #1: cost 21 inf + 0 595.889 * * [simplify]: Extracting #2: cost 44 inf + 0 595.890 * * [simplify]: Extracting #3: cost 65 inf + 42 595.890 * * [simplify]: Extracting #4: cost 83 inf + 84 595.890 * * [simplify]: Extracting #5: cost 83 inf + 146 595.891 * * [simplify]: Extracting #6: cost 73 inf + 1442 595.892 * * [simplify]: Extracting #7: cost 38 inf + 9871 595.896 * * [simplify]: Extracting #8: cost 5 inf + 25712 595.902 * * [simplify]: Extracting #9: cost 0 inf + 28443 595.907 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1))) 595.907 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt a1))) (/ (/ (sqrt (/ (/ (cos th) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 595.907 * * * * [progress]: [ 806 / 4148 ] simplifiying candidate # 595.907 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) 595.907 * * [simplify]: iters left: 6 (22 enodes) 595.913 * * [simplify]: iters left: 5 (77 enodes) 595.941 * * [simplify]: iters left: 4 (126 enodes) 595.962 * * [simplify]: iters left: 3 (204 enodes) 596.016 * * [simplify]: iters left: 2 (286 enodes) 596.108 * * [simplify]: iters left: 1 (421 enodes) 596.270 * * [simplify]: Extracting #0: cost 1 inf + 0 596.270 * * [simplify]: Extracting #1: cost 21 inf + 0 596.270 * * [simplify]: Extracting #2: cost 46 inf + 1 596.271 * * [simplify]: Extracting #3: cost 69 inf + 1 596.271 * * [simplify]: Extracting #4: cost 89 inf + 2 596.272 * * [simplify]: Extracting #5: cost 88 inf + 125 596.273 * * [simplify]: Extracting #6: cost 81 inf + 753 596.277 * * [simplify]: Extracting #7: cost 35 inf + 15153 596.290 * * [simplify]: Extracting #8: cost 3 inf + 31142 596.306 * * [simplify]: Extracting #9: cost 0 inf + 33291 596.323 * [simplify]: Simplified to (/ (/ (/ (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) 596.323 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 596.324 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (cbrt (sqrt 2)))) a1)) 596.324 * * [simplify]: iters left: 6 (20 enodes) 596.334 * * [simplify]: iters left: 5 (71 enodes) 596.361 * * [simplify]: iters left: 4 (121 enodes) 596.395 * * [simplify]: iters left: 3 (196 enodes) 596.426 * * [simplify]: iters left: 2 (264 enodes) 596.497 * * [simplify]: iters left: 1 (346 enodes) 596.637 * * [simplify]: Extracting #0: cost 1 inf + 0 596.637 * * [simplify]: Extracting #1: cost 21 inf + 0 596.637 * * [simplify]: Extracting #2: cost 41 inf + 1 596.637 * * [simplify]: Extracting #3: cost 64 inf + 1 596.638 * * [simplify]: Extracting #4: cost 83 inf + 2 596.638 * * [simplify]: Extracting #5: cost 83 inf + 64 596.639 * * [simplify]: Extracting #6: cost 74 inf + 1038 596.642 * * [simplify]: Extracting #7: cost 38 inf + 10212 596.649 * * [simplify]: Extracting #8: cost 4 inf + 25431 596.661 * * [simplify]: Extracting #9: cost 0 inf + 27561 596.671 * [simplify]: Simplified to (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1))) 596.671 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (* (cbrt (cbrt (cbrt (sqrt 2)))) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 596.671 * * * * [progress]: [ 807 / 4148 ] simplifiying candidate # 596.672 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) 596.672 * * [simplify]: iters left: 6 (27 enodes) 596.685 * * [simplify]: iters left: 5 (97 enodes) 596.717 * * [simplify]: iters left: 4 (162 enodes) 596.747 * * [simplify]: iters left: 3 (288 enodes) 596.814 * * [simplify]: Extracting #0: cost 1 inf + 0 596.814 * * [simplify]: Extracting #1: cost 46 inf + 0 596.814 * * [simplify]: Extracting #2: cost 95 inf + 0 596.815 * * [simplify]: Extracting #3: cost 112 inf + 405 596.815 * * [simplify]: Extracting #4: cost 133 inf + 448 596.816 * * [simplify]: Extracting #5: cost 135 inf + 673 596.816 * * [simplify]: Extracting #6: cost 126 inf + 1806 596.818 * * [simplify]: Extracting #7: cost 86 inf + 12902 596.822 * * [simplify]: Extracting #8: cost 47 inf + 33270 596.840 * * [simplify]: Extracting #9: cost 15 inf + 58549 596.863 * * [simplify]: Extracting #10: cost 1 inf + 70466 596.890 * * [simplify]: Extracting #11: cost 0 inf + 71489 596.907 * [simplify]: Simplified to (* (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (fabs (cbrt 2))))) (* (/ (cbrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) 596.908 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (* (/ a1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cos th))) (cbrt (cbrt (fabs (cbrt 2))))) (* (/ (cbrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 596.908 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (cbrt a1))) 596.908 * * [simplify]: iters left: 6 (24 enodes) 596.914 * * [simplify]: iters left: 5 (83 enodes) 596.928 * * [simplify]: iters left: 4 (133 enodes) 596.951 * * [simplify]: iters left: 3 (208 enodes) 596.998 * * [simplify]: iters left: 2 (277 enodes) 597.059 * * [simplify]: iters left: 1 (359 enodes) 597.170 * * [simplify]: Extracting #0: cost 1 inf + 0 597.170 * * [simplify]: Extracting #1: cost 21 inf + 0 597.170 * * [simplify]: Extracting #2: cost 44 inf + 0 597.171 * * [simplify]: Extracting #3: cost 67 inf + 82 597.171 * * [simplify]: Extracting #4: cost 89 inf + 164 597.171 * * [simplify]: Extracting #5: cost 88 inf + 430 597.172 * * [simplify]: Extracting #6: cost 81 inf + 1199 597.173 * * [simplify]: Extracting #7: cost 43 inf + 10856 597.176 * * [simplify]: Extracting #8: cost 20 inf + 19322 597.181 * * [simplify]: Extracting #9: cost 3 inf + 31222 597.187 * * [simplify]: Extracting #10: cost 0 inf + 33451 597.192 * [simplify]: Simplified to (/ (* (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 597.192 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (* (cbrt a1) (cbrt a1)))) (/ (* (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 597.193 * * * * [progress]: [ 808 / 4148 ] simplifiying candidate # 597.193 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) 597.193 * * [simplify]: iters left: 6 (26 enodes) 597.199 * * [simplify]: iters left: 5 (92 enodes) 597.215 * * [simplify]: iters left: 4 (149 enodes) 597.253 * * [simplify]: iters left: 3 (246 enodes) 597.295 * * [simplify]: iters left: 2 (346 enodes) 597.382 * * [simplify]: iters left: 1 (466 enodes) 597.540 * * [simplify]: Extracting #0: cost 1 inf + 0 597.540 * * [simplify]: Extracting #1: cost 36 inf + 0 597.540 * * [simplify]: Extracting #2: cost 70 inf + 0 597.541 * * [simplify]: Extracting #3: cost 93 inf + 42 597.542 * * [simplify]: Extracting #4: cost 116 inf + 84 597.543 * * [simplify]: Extracting #5: cost 116 inf + 309 597.544 * * [simplify]: Extracting #6: cost 110 inf + 1059 597.548 * * [simplify]: Extracting #7: cost 61 inf + 14920 597.557 * * [simplify]: Extracting #8: cost 34 inf + 25954 597.574 * * [simplify]: Extracting #9: cost 5 inf + 47404 597.594 * * [simplify]: Extracting #10: cost 0 inf + 51056 597.614 * [simplify]: Simplified to (/ (/ (/ (sqrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) 597.614 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (sqrt a1) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (fabs (cbrt 2)))) (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 597.614 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) (sqrt a1))) 597.615 * * [simplify]: iters left: 6 (24 enodes) 597.627 * * [simplify]: iters left: 5 (83 enodes) 597.652 * * [simplify]: iters left: 4 (133 enodes) 597.673 * * [simplify]: iters left: 3 (208 enodes) 597.722 * * [simplify]: iters left: 2 (277 enodes) 597.789 * * [simplify]: iters left: 1 (359 enodes) 597.909 * * [simplify]: Extracting #0: cost 1 inf + 0 597.910 * * [simplify]: Extracting #1: cost 21 inf + 0 597.910 * * [simplify]: Extracting #2: cost 44 inf + 0 597.910 * * [simplify]: Extracting #3: cost 67 inf + 42 597.911 * * [simplify]: Extracting #4: cost 89 inf + 84 597.911 * * [simplify]: Extracting #5: cost 88 inf + 350 597.912 * * [simplify]: Extracting #6: cost 81 inf + 1119 597.915 * * [simplify]: Extracting #7: cost 43 inf + 10696 597.921 * * [simplify]: Extracting #8: cost 20 inf + 18802 597.931 * * [simplify]: Extracting #9: cost 3 inf + 30342 597.941 * * [simplify]: Extracting #10: cost 0 inf + 32571 597.952 * [simplify]: Simplified to (/ (* (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2))))) 597.952 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) (sqrt a1))) (/ (* (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (sqrt a1)) (cbrt (cbrt (sqrt (cbrt 2)))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 597.953 * * * * [progress]: [ 809 / 4148 ] simplifiying candidate # 597.953 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) 597.954 * * [simplify]: iters left: 6 (25 enodes) 597.966 * * [simplify]: iters left: 5 (87 enodes) 597.995 * * [simplify]: iters left: 4 (136 enodes) 598.039 * * [simplify]: iters left: 3 (214 enodes) 598.087 * * [simplify]: iters left: 2 (298 enodes) 598.201 * * [simplify]: iters left: 1 (433 enodes) 598.357 * * [simplify]: Extracting #0: cost 1 inf + 0 598.357 * * [simplify]: Extracting #1: cost 21 inf + 0 598.357 * * [simplify]: Extracting #2: cost 45 inf + 1 598.358 * * [simplify]: Extracting #3: cost 69 inf + 1 598.359 * * [simplify]: Extracting #4: cost 92 inf + 2 598.359 * * [simplify]: Extracting #5: cost 92 inf + 227 598.360 * * [simplify]: Extracting #6: cost 85 inf + 1038 598.364 * * [simplify]: Extracting #7: cost 43 inf + 11900 598.371 * * [simplify]: Extracting #8: cost 22 inf + 20366 598.379 * * [simplify]: Extracting #9: cost 4 inf + 32086 598.387 * * [simplify]: Extracting #10: cost 0 inf + 34674 598.395 * [simplify]: Simplified to (/ (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (fabs (cbrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) 598.395 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (/ a1 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (cos th)))) (cbrt (cbrt (fabs (cbrt 2))))) (* (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 598.395 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (cbrt 2)))) a1)) 598.395 * * [simplify]: iters left: 6 (23 enodes) 598.402 * * [simplify]: iters left: 5 (80 enodes) 598.416 * * [simplify]: iters left: 4 (130 enodes) 598.455 * * [simplify]: iters left: 3 (205 enodes) 598.489 * * [simplify]: iters left: 2 (275 enodes) 598.556 * * [simplify]: iters left: 1 (351 enodes) 598.658 * * [simplify]: Extracting #0: cost 1 inf + 0 598.658 * * [simplify]: Extracting #1: cost 21 inf + 0 598.659 * * [simplify]: Extracting #2: cost 41 inf + 1 598.659 * * [simplify]: Extracting #3: cost 66 inf + 1 598.659 * * [simplify]: Extracting #4: cost 89 inf + 2 598.659 * * [simplify]: Extracting #5: cost 90 inf + 64 598.660 * * [simplify]: Extracting #6: cost 82 inf + 957 598.661 * * [simplify]: Extracting #7: cost 49 inf + 7414 598.664 * * [simplify]: Extracting #8: cost 17 inf + 20969 598.670 * * [simplify]: Extracting #9: cost 0 inf + 31689 598.675 * [simplify]: Simplified to (* (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt (cbrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) a1) 598.675 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (* (cbrt 2) (cbrt 2))))) 1)) (* (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (cbrt (sqrt (cbrt 2))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 598.675 * * * * [progress]: [ 810 / 4148 ] simplifiying candidate # 598.675 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) 598.676 * * [simplify]: iters left: 6 (25 enodes) 598.682 * * [simplify]: iters left: 5 (90 enodes) 598.714 * * [simplify]: iters left: 4 (155 enodes) 598.766 * * [simplify]: iters left: 3 (281 enodes) 598.833 * * [simplify]: iters left: 2 (497 enodes) 599.031 * * [simplify]: Extracting #0: cost 1 inf + 0 599.031 * * [simplify]: Extracting #1: cost 61 inf + 0 599.031 * * [simplify]: Extracting #2: cost 132 inf + 0 599.032 * * [simplify]: Extracting #3: cost 161 inf + 203 599.033 * * [simplify]: Extracting #4: cost 180 inf + 406 599.033 * * [simplify]: Extracting #5: cost 177 inf + 733 599.035 * * [simplify]: Extracting #6: cost 142 inf + 9635 599.048 * * [simplify]: Extracting #7: cost 30 inf + 74043 599.083 * * [simplify]: Extracting #8: cost 0 inf + 91498 599.118 * [simplify]: Simplified to (/ (/ (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)))) (cbrt (cbrt (sqrt (sqrt 2))))) 599.118 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* a1 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)) (/ (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2))))) (cbrt a1)))) (cbrt (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 599.119 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 599.119 * * [simplify]: iters left: 6 (23 enodes) 599.132 * * [simplify]: iters left: 5 (80 enodes) 599.145 * * [simplify]: iters left: 4 (130 enodes) 599.172 * * [simplify]: iters left: 3 (205 enodes) 599.204 * * [simplify]: iters left: 2 (275 enodes) 599.275 * * [simplify]: iters left: 1 (351 enodes) 599.393 * * [simplify]: Extracting #0: cost 1 inf + 0 599.393 * * [simplify]: Extracting #1: cost 21 inf + 0 599.393 * * [simplify]: Extracting #2: cost 44 inf + 0 599.394 * * [simplify]: Extracting #3: cost 66 inf + 163 599.394 * * [simplify]: Extracting #4: cost 88 inf + 164 599.395 * * [simplify]: Extracting #5: cost 88 inf + 226 599.396 * * [simplify]: Extracting #6: cost 80 inf + 1119 599.398 * * [simplify]: Extracting #7: cost 48 inf + 7437 599.401 * * [simplify]: Extracting #8: cost 23 inf + 18157 599.406 * * [simplify]: Extracting #9: cost 1 inf + 30866 599.411 * * [simplify]: Extracting #10: cost 0 inf + 31449 599.416 * [simplify]: Simplified to (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1))) 599.416 * [simplify]: Simplified (2 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (* (cbrt a1) (cbrt a1)))) (/ (/ (sqrt (/ (cos th) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) a1))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (cbrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 599.417 * * * * [progress]: [ 811 / 4148 ] simplifiying candidate # 599.417 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (* (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1)))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 599.417 * * [simplify]: iters left: 6 (24 enodes) 599.423 * * [simplify]: iters left: 5 (85 enodes) 599.449 * * [simplify]: iters left: 4 (142 enodes) 599.491 * * [simplify]: iters left: 3 (239 enodes) 599.547 * * [simplify]: iters left: 2 (342 enodes) 599.644 * * [simplify]: iters left: 1 (462 enodes) 599.761 * * [simplify]: Extracting #0: cost 1 inf + 0 599.761 * * [simplify]: Extracting #1: cost 36 inf + 0 599.761 * * [simplify]: Extracting #2: cost 70 inf + 0 599.762 * * [simplify]: Extracting #3: cost 92 inf + 83 599.762 * * [simplify]: Extracting #4: cost 113 inf + 84 599.763 * * [simplify]: Extracting #5: cost 111 inf + 309 599.763 * * [simplify]: Extracting #6: cost 106 inf + 796 599.765 * * [simplify]: Extracting #7: cost 66 inf + 11679 599.769 * * [simplify]: Extracting #8: cost 33 inf + 25930 599.786 * * [simplify]: Extracting #9: cost 3 inf + 45221 599.796 * * [simplify]: Extracting #10: cost 0 inf + 47570 599.805 * [simplify]: Simplified to (/ (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 599.805 * [simplify]: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (/ (sqrt (/ (/ (* a1 (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2)))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (cbrt (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) 599.806 * [simplify]: Simplifying (/ (/ (sqrt (/ (* (cos th) a1) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 1))) (cbrt (/ (* (cbrt (cbrt (sqrt 2))) (cbrt (cbrt (sqrt 2)))) 1))) (/ (cbrt (cbrt (sqrt (sqrt 2)))) (sqrt a1))) 599.806 * * [simplify]: iters left: 6 (23 enodes) 599.811 * * [simplify]: iters left: 5 (80 enodes) 599.835 * * [simplify]: iters left: 4 (130 enodes) 599.865 * * [simplify]: iters left: 3 (205 enodes) 599.912 * * [simplify]: iters left: 2 (275 enodes) 599.972 * * [simplify]: iters left: 1 (351 enodes)