8.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 0.033 * * [simplify]: iteration 0 : 32 enodes (cost 10 ) 0.035 * * [simplify]: iteration 1 : 91 enodes (cost 10 ) 0.037 * * [simplify]: iteration 2 : 263 enodes (cost 10 ) 0.042 * * [simplify]: iteration 3 : 620 enodes (cost 10 ) 0.051 * * [simplify]: iteration 4 : 1138 enodes (cost 10 ) 0.064 * * [simplify]: iteration 5 : 1470 enodes (cost 10 ) 0.079 * * [simplify]: iteration 6 : 1510 enodes (cost 10 ) 0.094 * * [simplify]: iteration 7 : 1510 enodes (cost 10 ) 0.094 * [simplify]: Simplified to: (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 0.094 * * [progress]: iteration 1 / 4 0.094 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.109 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.121 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.130 * * * [progress]: generating series expansions 0.130 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.131 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in (v) around 0 0.131 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in v 0.131 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.131 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 0.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 0.131 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 0.131 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.131 * [taylor]: Taking taylor expansion of 2.0 in v 0.131 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.131 * [taylor]: Taking taylor expansion of 6.0 in v 0.131 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.131 * [taylor]: Taking taylor expansion of v in v 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 0.133 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.133 * [taylor]: Taking taylor expansion of 1.0 in v 0.133 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.133 * [taylor]: Taking taylor expansion of v in v 0.133 * [taylor]: Taking taylor expansion of PI in v 0.135 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in v 0.135 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.135 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 0.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 0.135 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 0.135 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.135 * [taylor]: Taking taylor expansion of 2.0 in v 0.135 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.135 * [taylor]: Taking taylor expansion of 6.0 in v 0.135 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.135 * [taylor]: Taking taylor expansion of v in v 0.137 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 0.137 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.137 * [taylor]: Taking taylor expansion of 1.0 in v 0.137 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.137 * [taylor]: Taking taylor expansion of v in v 0.137 * [taylor]: Taking taylor expansion of PI in v 0.271 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in (v) around 0 0.271 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 0.271 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.271 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.271 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.271 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.271 * [taylor]: Taking taylor expansion of 2.0 in v 0.271 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.271 * [taylor]: Taking taylor expansion of 6.0 in v 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.271 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.271 * [taylor]: Taking taylor expansion of v in v 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.276 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.276 * [taylor]: Taking taylor expansion of 1.0 in v 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.276 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.276 * [taylor]: Taking taylor expansion of v in v 0.277 * [taylor]: Taking taylor expansion of PI in v 0.278 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 0.278 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.278 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.278 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.278 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.278 * [taylor]: Taking taylor expansion of 2.0 in v 0.278 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.278 * [taylor]: Taking taylor expansion of 6.0 in v 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.278 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.278 * [taylor]: Taking taylor expansion of v in v 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.284 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.284 * [taylor]: Taking taylor expansion of 1.0 in v 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.284 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.284 * [taylor]: Taking taylor expansion of v in v 0.284 * [taylor]: Taking taylor expansion of PI in v 0.419 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in (v) around 0 0.419 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 0.419 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.419 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.419 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.419 * [taylor]: Taking taylor expansion of 2.0 in v 0.419 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.419 * [taylor]: Taking taylor expansion of 6.0 in v 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.419 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.419 * [taylor]: Taking taylor expansion of v in v 0.424 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.424 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.424 * [taylor]: Taking taylor expansion of 1.0 in v 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.424 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.424 * [taylor]: Taking taylor expansion of v in v 0.425 * [taylor]: Taking taylor expansion of PI in v 0.426 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 0.426 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.426 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.426 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.426 * [taylor]: Taking taylor expansion of 2.0 in v 0.426 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.426 * [taylor]: Taking taylor expansion of 6.0 in v 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.426 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.426 * [taylor]: Taking taylor expansion of v in v 0.431 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.432 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.432 * [taylor]: Taking taylor expansion of 1.0 in v 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.432 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.432 * [taylor]: Taking taylor expansion of v in v 0.432 * [taylor]: Taking taylor expansion of PI in v 0.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.567 * [approximate]: Taking taylor expansion of (* 6.0 (pow v 2)) in (v) around 0 0.567 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.567 * [taylor]: Taking taylor expansion of 6.0 in v 0.567 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.567 * [taylor]: Taking taylor expansion of v in v 0.567 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.567 * [taylor]: Taking taylor expansion of 6.0 in v 0.567 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.567 * [taylor]: Taking taylor expansion of v in v 0.575 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 0.575 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.575 * [taylor]: Taking taylor expansion of 6.0 in v 0.575 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.575 * [taylor]: Taking taylor expansion of v in v 0.576 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.576 * [taylor]: Taking taylor expansion of 6.0 in v 0.576 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.576 * [taylor]: Taking taylor expansion of v in v 0.583 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 0.583 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.583 * [taylor]: Taking taylor expansion of 6.0 in v 0.583 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.583 * [taylor]: Taking taylor expansion of v in v 0.584 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.584 * [taylor]: Taking taylor expansion of 6.0 in v 0.584 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.584 * [taylor]: Taking taylor expansion of v in v 0.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.592 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in (v) around 0 0.592 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.592 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.592 * [taylor]: Taking taylor expansion of 2.0 in v 0.592 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.592 * [taylor]: Taking taylor expansion of 6.0 in v 0.592 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.592 * [taylor]: Taking taylor expansion of v in v 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.593 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.593 * [taylor]: Taking taylor expansion of 2.0 in v 0.593 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.593 * [taylor]: Taking taylor expansion of 6.0 in v 0.593 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.593 * [taylor]: Taking taylor expansion of v in v 0.610 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.610 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.610 * [taylor]: Taking taylor expansion of 2.0 in v 0.610 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.610 * [taylor]: Taking taylor expansion of 6.0 in v 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.610 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.610 * [taylor]: Taking taylor expansion of v in v 0.614 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.614 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.614 * [taylor]: Taking taylor expansion of 2.0 in v 0.614 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.614 * [taylor]: Taking taylor expansion of 6.0 in v 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.614 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.614 * [taylor]: Taking taylor expansion of v in v 0.638 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.638 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.638 * [taylor]: Taking taylor expansion of 2.0 in v 0.638 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.638 * [taylor]: Taking taylor expansion of 6.0 in v 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.638 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.638 * [taylor]: Taking taylor expansion of v in v 0.648 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.648 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.648 * [taylor]: Taking taylor expansion of 2.0 in v 0.648 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.648 * [taylor]: Taking taylor expansion of 6.0 in v 0.648 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.648 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.648 * [taylor]: Taking taylor expansion of v in v 0.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.673 * [approximate]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI))) in (v) around 0 0.673 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI))) in v 0.673 * [taylor]: Taking taylor expansion of 3.0 in v 0.673 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI)) in v 0.673 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.673 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.673 * [taylor]: Taking taylor expansion of 2.0 in v 0.673 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.673 * [taylor]: Taking taylor expansion of 6.0 in v 0.673 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.673 * [taylor]: Taking taylor expansion of v in v 0.674 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.674 * [taylor]: Taking taylor expansion of 1.0 in v 0.674 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.674 * [taylor]: Taking taylor expansion of v in v 0.674 * [taylor]: Taking taylor expansion of PI in v 0.674 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI))) in v 0.674 * [taylor]: Taking taylor expansion of 3.0 in v 0.674 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI)) in v 0.674 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.674 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.674 * [taylor]: Taking taylor expansion of 2.0 in v 0.674 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.674 * [taylor]: Taking taylor expansion of 6.0 in v 0.674 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.674 * [taylor]: Taking taylor expansion of v in v 0.675 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.675 * [taylor]: Taking taylor expansion of 1.0 in v 0.675 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.675 * [taylor]: Taking taylor expansion of v in v 0.675 * [taylor]: Taking taylor expansion of PI in v 0.749 * [approximate]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in (v) around 0 0.749 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.749 * [taylor]: Taking taylor expansion of 3.0 in v 0.749 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.749 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.749 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.749 * [taylor]: Taking taylor expansion of 2.0 in v 0.749 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.749 * [taylor]: Taking taylor expansion of 6.0 in v 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.749 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.749 * [taylor]: Taking taylor expansion of v in v 0.753 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.753 * [taylor]: Taking taylor expansion of 1.0 in v 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.754 * [taylor]: Taking taylor expansion of v in v 0.754 * [taylor]: Taking taylor expansion of PI in v 0.754 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.754 * [taylor]: Taking taylor expansion of 3.0 in v 0.754 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.754 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.754 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.754 * [taylor]: Taking taylor expansion of 2.0 in v 0.754 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.754 * [taylor]: Taking taylor expansion of 6.0 in v 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.754 * [taylor]: Taking taylor expansion of v in v 0.758 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.758 * [taylor]: Taking taylor expansion of 1.0 in v 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.758 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.758 * [taylor]: Taking taylor expansion of v in v 0.759 * [taylor]: Taking taylor expansion of PI in v 0.848 * [approximate]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in (v) around 0 0.848 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.849 * [taylor]: Taking taylor expansion of 3.0 in v 0.849 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.849 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.849 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.849 * [taylor]: Taking taylor expansion of 2.0 in v 0.849 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.849 * [taylor]: Taking taylor expansion of 6.0 in v 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.849 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.849 * [taylor]: Taking taylor expansion of v in v 0.853 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.853 * [taylor]: Taking taylor expansion of 1.0 in v 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.853 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.853 * [taylor]: Taking taylor expansion of v in v 0.853 * [taylor]: Taking taylor expansion of PI in v 0.853 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 0.853 * [taylor]: Taking taylor expansion of 3.0 in v 0.853 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.853 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.853 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.853 * [taylor]: Taking taylor expansion of 2.0 in v 0.853 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.853 * [taylor]: Taking taylor expansion of 6.0 in v 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.853 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.853 * [taylor]: Taking taylor expansion of v in v 0.857 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.858 * [taylor]: Taking taylor expansion of 1.0 in v 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.858 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.858 * [taylor]: Taking taylor expansion of v in v 0.858 * [taylor]: Taking taylor expansion of PI in v 0.948 * * * [progress]: simplifying candidates 0.949 * [simplify]: Simplifying using # : (- 4.0) (- (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ 1 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 4.0) (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (* 3.0 PI)) (/ 4.0 3.0) (/ 4.0 PI) (/ 4.0 (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* 6.0 v) (* 6.0 v) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* PI (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* 3.0 (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (- (+ (* 1.3333333333333333 (/ (* (pow v 4) (sqrt 0.5)) PI)) (+ (* 1.0 (/ (pow v 2) (* (sqrt 0.5) PI))) (+ (* 1.3333333333333333 (/ (sqrt 0.5) PI)) (+ (* 1.3333333333333333 (/ (* (pow v 2) (sqrt 0.5)) PI)) (+ (* 1.0 (/ (pow v 4) (* (sqrt 0.5) PI))) (* 3.0 (/ (pow v 4) (* PI (sqrt 0.5))))))))) (* 0.375 (/ (pow v 4) (* (pow (sqrt 0.5) 3) PI)))) (- (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (+ (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI)))))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 7) PI))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 3) PI))) (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 5) PI)))))) (- (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 7) PI))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 3) PI))) (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))) (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (+ (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI))))))) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (- (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0)))))) (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3))))) (- (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3)))) (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0))))))) (- (+ (* 3.0 (* (sqrt 2.0) PI)) (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0)))) (+ (* 9.0 (/ (* (pow v 2) PI) (sqrt 2.0))) (+ (* 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3))) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))) (- (+ (* 3.0 (* v (* (sqrt (- 6.0)) PI))) (+ (* 1.5 (/ PI (* v (pow (sqrt (- 6.0)) 3)))) (* 3.0 (/ PI (* v (sqrt (- 6.0))))))) (+ (* 3.0 (* (pow v 3) (* (sqrt (- 6.0)) PI))) (* 3.0 (/ (* v PI) (sqrt (- 6.0)))))) (- (+ (* 3.0 (* (pow v 3) (* (sqrt (- 6.0)) PI))) (* 3.0 (/ (* v PI) (sqrt (- 6.0))))) (+ (* 3.0 (* v (* (sqrt (- 6.0)) PI))) (+ (* 1.5 (/ PI (* v (pow (sqrt (- 6.0)) 3)))) (* 3.0 (/ PI (* v (sqrt (- 6.0)))))))) 0.956 * * [simplify]: iteration 0 : 596 enodes (cost 635 ) 0.967 * * [simplify]: iteration 1 : 2397 enodes (cost 625 ) 1.008 * * [simplify]: iteration 2 : 5003 enodes (cost 625 ) 1.011 * [simplify]: Simplified to: (- 4.0) (- (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ 1 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 4.0) (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (* 3.0 PI)) (/ 4.0 3.0) (/ 4.0 PI) (/ 4.0 (- 1.0 (* v v))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))))) (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (/ 4.0 (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* 6.0 v) (* 6.0 v) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (+ (* (pow v 2) (+ (pow v 2) 1.0)) (* 1.0 1.0))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (sqrt (+ 2.0 (* 6.0 (* v v)))) (+ (* (pow v 2) (+ (pow v 2) 1.0)) (* 1.0 1.0))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))) (* (- 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* PI (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* 3.0 (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* 3.0 PI) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- 2.0 (* 6.0 (* v v))))) (* (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (+ (+ (* 1.0 (/ (pow v 2) (* (sqrt 0.5) PI))) (* 1.3333333333333333 (+ (/ (sqrt 0.5) PI) (/ (* (pow v 2) (sqrt 0.5)) PI)))) (* (/ (pow v 4) (* PI (sqrt 0.5))) (+ 3.0 1.0))) (- (* 1.3333333333333333 (/ (* (pow v 4) (sqrt 0.5)) PI)) (* 0.375 (/ (pow v 4) (* (pow (sqrt 0.5) 3) PI))))) (+ (+ (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI)))) (- (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 1.3333333333333333 (+ (/ (sqrt -0.16666666666666666) (* (pow v 7) PI)) (+ (/ (sqrt -0.16666666666666666) (* (pow v 3) PI)) (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))))) (/ (/ 0.037037037037037035 (* (sqrt -0.16666666666666666) (pow v 5))) PI)) (- (- (* 1.3333333333333333 (+ (/ (sqrt -0.16666666666666666) (* (pow v 7) PI)) (+ (/ (sqrt -0.16666666666666666) (* (pow v 3) PI)) (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))) (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI))))) (* 6.0 (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (- (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0)))))) (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3))))) (- (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3)))) (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0))))))) (- (+ (* 3.0 (* (sqrt 2.0) PI)) (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0)))) (+ (* 9.0 (/ (* (pow v 2) PI) (sqrt 2.0))) (+ (* 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3))) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))) (+ (* 3.0 (* v (* (sqrt (- 6.0)) PI))) (- (+ (* 1.5 (/ PI (* v (pow (sqrt (- 6.0)) 3)))) (* 3.0 (/ PI (* v (sqrt (- 6.0)))))) (* 3.0 (+ (* (pow v 3) (* (sqrt (- 6.0)) PI)) (/ (* v PI) (sqrt (- 6.0))))))) (- (- (* 3.0 (- (+ (* (pow v 3) (* (sqrt (- 6.0)) PI)) (/ (* v PI) (sqrt (- 6.0)))) (* v (* (sqrt (- 6.0)) PI)))) (* 3.0 (/ PI (* v (sqrt (- 6.0)))))) (* 1.5 (/ PI (* v (pow (sqrt (- 6.0)) 3))))) 1.011 * * * [progress]: adding candidates to table 1.207 * * [progress]: iteration 2 / 4 1.207 * * * [progress]: picking best candidate 1.212 * * * * [pick]: Picked # 1.212 * * * [progress]: localizing error 1.224 * * * [progress]: generating rewritten candidates 1.224 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.242 * * * [progress]: generating series expansions 1.242 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.242 * [approximate]: Taking taylor expansion of (* 6.0 (pow v 2)) in (v) around 0 1.242 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.242 * [taylor]: Taking taylor expansion of 6.0 in v 1.242 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.242 * [taylor]: Taking taylor expansion of v in v 1.242 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.242 * [taylor]: Taking taylor expansion of 6.0 in v 1.242 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.242 * [taylor]: Taking taylor expansion of v in v 1.254 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 1.254 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.254 * [taylor]: Taking taylor expansion of 6.0 in v 1.254 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.254 * [taylor]: Taking taylor expansion of v in v 1.255 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.255 * [taylor]: Taking taylor expansion of 6.0 in v 1.255 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.255 * [taylor]: Taking taylor expansion of v in v 1.263 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 1.263 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.263 * [taylor]: Taking taylor expansion of 6.0 in v 1.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.263 * [taylor]: Taking taylor expansion of v in v 1.263 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.263 * [taylor]: Taking taylor expansion of 6.0 in v 1.263 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.263 * [taylor]: Taking taylor expansion of v in v 1.271 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.271 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in (v) around 0 1.271 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 1.271 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 1.271 * [taylor]: Taking taylor expansion of 2.0 in v 1.271 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.271 * [taylor]: Taking taylor expansion of 6.0 in v 1.271 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.271 * [taylor]: Taking taylor expansion of v in v 1.272 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 1.272 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 1.272 * [taylor]: Taking taylor expansion of 2.0 in v 1.272 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.272 * [taylor]: Taking taylor expansion of 6.0 in v 1.272 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.272 * [taylor]: Taking taylor expansion of v in v 1.288 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.288 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.288 * [taylor]: Taking taylor expansion of 2.0 in v 1.288 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.288 * [taylor]: Taking taylor expansion of 6.0 in v 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.288 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.288 * [taylor]: Taking taylor expansion of v in v 1.292 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.292 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.292 * [taylor]: Taking taylor expansion of 2.0 in v 1.292 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.292 * [taylor]: Taking taylor expansion of 6.0 in v 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.292 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.292 * [taylor]: Taking taylor expansion of v in v 1.317 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 1.317 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.317 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.317 * [taylor]: Taking taylor expansion of 2.0 in v 1.317 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.317 * [taylor]: Taking taylor expansion of 6.0 in v 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.317 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.317 * [taylor]: Taking taylor expansion of v in v 1.321 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.321 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.322 * [taylor]: Taking taylor expansion of 2.0 in v 1.322 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.322 * [taylor]: Taking taylor expansion of 6.0 in v 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.322 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.322 * [taylor]: Taking taylor expansion of v in v 1.351 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.351 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in (v) around 0 1.351 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in v 1.351 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 1.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 1.352 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 1.352 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 1.352 * [taylor]: Taking taylor expansion of 2.0 in v 1.352 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.352 * [taylor]: Taking taylor expansion of 6.0 in v 1.352 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.352 * [taylor]: Taking taylor expansion of v in v 1.353 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 1.354 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 1.354 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 1.354 * [taylor]: Taking taylor expansion of 1.0 in v 1.354 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.354 * [taylor]: Taking taylor expansion of v in v 1.354 * [taylor]: Taking taylor expansion of PI in v 1.355 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI)))) in v 1.355 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.355 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 1.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 1.355 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 1.355 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 1.355 * [taylor]: Taking taylor expansion of 2.0 in v 1.355 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.355 * [taylor]: Taking taylor expansion of 6.0 in v 1.355 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.355 * [taylor]: Taking taylor expansion of v in v 1.357 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 1.357 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 1.357 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 1.357 * [taylor]: Taking taylor expansion of 1.0 in v 1.357 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.357 * [taylor]: Taking taylor expansion of v in v 1.357 * [taylor]: Taking taylor expansion of PI in v 1.484 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in (v) around 0 1.484 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 1.484 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 1.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 1.484 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.484 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.484 * [taylor]: Taking taylor expansion of 2.0 in v 1.484 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.484 * [taylor]: Taking taylor expansion of 6.0 in v 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.484 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.484 * [taylor]: Taking taylor expansion of v in v 1.494 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.495 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.495 * [taylor]: Taking taylor expansion of 1.0 in v 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.495 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.495 * [taylor]: Taking taylor expansion of v in v 1.495 * [taylor]: Taking taylor expansion of PI in v 1.497 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 1.497 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 1.497 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.497 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.497 * [taylor]: Taking taylor expansion of 2.0 in v 1.497 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.497 * [taylor]: Taking taylor expansion of 6.0 in v 1.497 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.497 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.497 * [taylor]: Taking taylor expansion of v in v 1.502 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.502 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.502 * [taylor]: Taking taylor expansion of 1.0 in v 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.502 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.502 * [taylor]: Taking taylor expansion of v in v 1.502 * [taylor]: Taking taylor expansion of PI in v 1.631 * [approximate]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in (v) around 0 1.631 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 1.631 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.631 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 1.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 1.631 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.631 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.631 * [taylor]: Taking taylor expansion of 2.0 in v 1.631 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.631 * [taylor]: Taking taylor expansion of 6.0 in v 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.631 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.631 * [taylor]: Taking taylor expansion of v in v 1.636 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.636 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.636 * [taylor]: Taking taylor expansion of 1.0 in v 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.636 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.636 * [taylor]: Taking taylor expansion of v in v 1.636 * [taylor]: Taking taylor expansion of PI in v 1.638 * [taylor]: Taking taylor expansion of (* 1.3333333333333333 (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)))) in v 1.638 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.638 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI))) in v 1.638 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 1.638 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 1.638 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 1.638 * [taylor]: Taking taylor expansion of 2.0 in v 1.638 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 1.638 * [taylor]: Taking taylor expansion of 6.0 in v 1.638 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.638 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.638 * [taylor]: Taking taylor expansion of v in v 1.643 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.643 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.643 * [taylor]: Taking taylor expansion of 1.0 in v 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.643 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.643 * [taylor]: Taking taylor expansion of v in v 1.643 * [taylor]: Taking taylor expansion of PI in v 1.778 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.779 * [approximate]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (pow v 2)) PI)) in (v) around 0 1.779 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (pow v 2)) PI)) in v 1.779 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.779 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 1.779 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 1.779 * [taylor]: Taking taylor expansion of 1.0 in v 1.779 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.779 * [taylor]: Taking taylor expansion of v in v 1.779 * [taylor]: Taking taylor expansion of PI in v 1.780 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (pow v 2)) PI)) in v 1.780 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.780 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 1.780 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 1.780 * [taylor]: Taking taylor expansion of 1.0 in v 1.780 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.780 * [taylor]: Taking taylor expansion of v in v 1.780 * [taylor]: Taking taylor expansion of PI in v 1.804 * [approximate]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in (v) around 0 1.804 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.804 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.804 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.804 * [taylor]: Taking taylor expansion of 1.0 in v 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.804 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.804 * [taylor]: Taking taylor expansion of v in v 1.805 * [taylor]: Taking taylor expansion of PI in v 1.806 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.806 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.806 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.806 * [taylor]: Taking taylor expansion of 1.0 in v 1.806 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.806 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.806 * [taylor]: Taking taylor expansion of v in v 1.807 * [taylor]: Taking taylor expansion of PI in v 1.845 * [approximate]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in (v) around 0 1.845 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.846 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.846 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.846 * [taylor]: Taking taylor expansion of 1.0 in v 1.846 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.846 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.846 * [taylor]: Taking taylor expansion of v in v 1.846 * [taylor]: Taking taylor expansion of PI in v 1.848 * [taylor]: Taking taylor expansion of (/ 1.3333333333333333 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 1.848 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 1.848 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 1.848 * [taylor]: Taking taylor expansion of 1.0 in v 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.848 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.848 * [taylor]: Taking taylor expansion of v in v 1.848 * [taylor]: Taking taylor expansion of PI in v 1.880 * * * [progress]: simplifying candidates 1.880 * [simplify]: Simplifying using # : (* 6.0 v) (* 6.0 v) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (- (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))) (- (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 1 (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ 1.0 (* v v))) (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (* (* 3.0 PI) (- 1.0 (* v v))))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (/ (* (* 3.0 PI) (- 1.0 (* v v))) 4.0)) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- 1.0 (* v v))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* PI (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* 3.0 (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* 3.0 PI)) (- 4.0) (- (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (* (* 3.0 PI) (- 1.0 (* v v))) 4.0) (/ 4.0 (* 3.0 PI)) (/ 4.0 3.0) (/ 4.0 PI) (/ 4.0 (- 1.0 (* v v))) (/ 4.0 (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3)))) (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (- (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0)))))) (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3))))) (- (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3)))) (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0))))))) (- (+ (* 1.3333333333333333 (/ (* (pow v 4) (sqrt 0.5)) PI)) (+ (* 1.0 (/ (pow v 2) (* (sqrt 0.5) PI))) (+ (* 1.3333333333333333 (/ (sqrt 0.5) PI)) (+ (* 1.3333333333333333 (/ (* (pow v 2) (sqrt 0.5)) PI)) (+ (* 1.0 (/ (pow v 4) (* (sqrt 0.5) PI))) (* 3.0 (/ (pow v 4) (* PI (sqrt 0.5))))))))) (* 0.375 (/ (pow v 4) (* (pow (sqrt 0.5) 3) PI)))) (- (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (+ (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI)))))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 7) PI))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 3) PI))) (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 5) PI)))))) (- (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 7) PI))) (+ (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 3) PI))) (* 1.3333333333333333 (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))) (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (+ (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI))))))) (+ (* 1.3333333333333333 (/ 1 PI)) (+ (* 1.3333333333333333 (/ (pow v 2) PI)) (* 1.3333333333333333 (/ (pow v 4) PI)))) (- (+ (* 1.3333333333333333 (/ 1 (* (pow v 6) PI))) (+ (* 1.3333333333333333 (/ 1 (* (pow v 4) PI))) (* 1.3333333333333333 (/ 1 (* (pow v 2) PI)))))) (- (+ (* 1.3333333333333333 (/ 1 (* (pow v 6) PI))) (+ (* 1.3333333333333333 (/ 1 (* (pow v 4) PI))) (* 1.3333333333333333 (/ 1 (* (pow v 2) PI)))))) 1.886 * * [simplify]: iteration 0 : 510 enodes (cost 417 ) 1.896 * * [simplify]: iteration 1 : 2048 enodes (cost 402 ) 1.931 * * [simplify]: iteration 2 : 5001 enodes (cost 402 ) 1.933 * [simplify]: Simplified to: (* 6.0 v) (* 6.0 v) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (- (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))) (- (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 1 (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ 1.0 (* v v))) (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3)))) (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- (* (* 3.0 PI) (- 1.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v))))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (- 1.0 (* v v))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* PI (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* 3.0 (- 1.0 (* v v)))) (* (sqrt (- 2.0 (* 6.0 (* v v)))) (* 3.0 PI)) (- 4.0) (- (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (* (* 3.0 PI) (- 1.0 (* v v))) 4.0) (/ 4.0 (* 3.0 PI)) (/ 4.0 3.0) (/ 4.0 PI) (/ 4.0 (- 1.0 (* v v))) (/ 4.0 (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3)))) (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (* (* v v) (* v v))))) (* 6.0 (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (- (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0)))))) (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3))))) (- (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3)))) (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0))))))) (+ (+ (+ (* 1.0 (/ (pow v 2) (* (sqrt 0.5) PI))) (* 1.3333333333333333 (+ (/ (sqrt 0.5) PI) (/ (* (pow v 2) (sqrt 0.5)) PI)))) (* (/ (pow v 4) (* PI (sqrt 0.5))) (+ 3.0 1.0))) (- (* 1.3333333333333333 (/ (* (pow v 4) (sqrt 0.5)) PI)) (* 0.375 (/ (pow v 4) (* (pow (sqrt 0.5) 3) PI))))) (+ (+ (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI)))) (- (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))) (* 1.3333333333333333 (+ (/ (sqrt -0.16666666666666666) (* (pow v 7) PI)) (+ (/ (sqrt -0.16666666666666666) (* (pow v 3) PI)) (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))))) (/ (/ 0.037037037037037035 (* (sqrt -0.16666666666666666) (pow v 5))) PI)) (- (- (* 1.3333333333333333 (+ (/ (sqrt -0.16666666666666666) (* (pow v 7) PI)) (+ (/ (sqrt -0.16666666666666666) (* (pow v 3) PI)) (/ (sqrt -0.16666666666666666) (* (pow v 5) PI))))) (+ (* 0.037037037037037035 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 5) PI)))) (* 0.0005144032921810699 (/ 1 (* (pow (sqrt -0.16666666666666666) 3) (* (pow v 7) PI)))))) (* 0.04938271604938271 (/ 1 (* (sqrt -0.16666666666666666) (* (pow v 7) PI))))) (* 1.3333333333333333 (+ (/ 1 PI) (+ (/ (pow v 2) PI) (/ (pow v 4) PI)))) (- (/ (- 1.3333333333333333) (* (pow v 6) PI)) (* 1.3333333333333333 (+ (/ 1 (* (pow v 4) PI)) (/ 1 (* (pow v 2) PI))))) (- (/ (- 1.3333333333333333) (* (pow v 6) PI)) (* 1.3333333333333333 (+ (/ 1 (* (pow v 4) PI)) (/ 1 (* (pow v 2) PI))))) 1.934 * * * [progress]: adding candidates to table 2.066 * * [progress]: iteration 3 / 4 2.066 * * * [progress]: picking best candidate 2.068 * * * * [pick]: Picked # 2.068 * * * [progress]: localizing error 2.085 * * * [progress]: generating rewritten candidates 2.085 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.089 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2) 2.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.101 * * * [progress]: generating series expansions 2.101 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.101 * [approximate]: Taking taylor expansion of (* 6.0 (pow v 2)) in (v) around 0 2.101 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.101 * [taylor]: Taking taylor expansion of 6.0 in v 2.101 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.101 * [taylor]: Taking taylor expansion of v in v 2.101 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.101 * [taylor]: Taking taylor expansion of 6.0 in v 2.101 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.101 * [taylor]: Taking taylor expansion of v in v 2.110 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 2.110 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 2.110 * [taylor]: Taking taylor expansion of 6.0 in v 2.110 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.110 * [taylor]: Taking taylor expansion of v in v 2.110 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 2.110 * [taylor]: Taking taylor expansion of 6.0 in v 2.110 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.111 * [taylor]: Taking taylor expansion of v in v 2.118 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 2.118 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 2.118 * [taylor]: Taking taylor expansion of 6.0 in v 2.118 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.118 * [taylor]: Taking taylor expansion of v in v 2.119 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 2.119 * [taylor]: Taking taylor expansion of 6.0 in v 2.119 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.119 * [taylor]: Taking taylor expansion of v in v 2.127 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2) 2.127 * [approximate]: Taking taylor expansion of (pow v 4) in (v) around 0 2.127 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.127 * [taylor]: Taking taylor expansion of v in v 2.127 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.127 * [taylor]: Taking taylor expansion of v in v 2.140 * [approximate]: Taking taylor expansion of (/ 1 (pow v 4)) in (v) around 0 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.140 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.140 * [taylor]: Taking taylor expansion of v in v 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.141 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.141 * [taylor]: Taking taylor expansion of v in v 2.152 * [approximate]: Taking taylor expansion of (/ 1 (pow v 4)) in (v) around 0 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.152 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.152 * [taylor]: Taking taylor expansion of v in v 2.152 * [taylor]: Taking taylor expansion of (/ 1 (pow v 4)) in v 2.152 * [taylor]: Taking taylor expansion of (pow v 4) in v 2.152 * [taylor]: Taking taylor expansion of v in v 2.163 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.163 * [approximate]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (/ 1 (+ (pow v 2) 1.0))) in (v) around 0 2.163 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (/ 1 (+ (pow v 2) 1.0))) in v 2.163 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 2.163 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 2.163 * [taylor]: Taking taylor expansion of 2.0 in v 2.163 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.163 * [taylor]: Taking taylor expansion of 6.0 in v 2.164 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.164 * [taylor]: Taking taylor expansion of v in v 2.165 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow v 2) 1.0)) in v 2.165 * [taylor]: Taking taylor expansion of (+ (pow v 2) 1.0) in v 2.165 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.165 * [taylor]: Taking taylor expansion of v in v 2.165 * [taylor]: Taking taylor expansion of 1.0 in v 2.165 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (/ 1 (+ (pow v 2) 1.0))) in v 2.165 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 2.165 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 2.166 * [taylor]: Taking taylor expansion of 2.0 in v 2.166 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.166 * [taylor]: Taking taylor expansion of 6.0 in v 2.166 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.166 * [taylor]: Taking taylor expansion of v in v 2.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow v 2) 1.0)) in v 2.167 * [taylor]: Taking taylor expansion of (+ (pow v 2) 1.0) in v 2.167 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.167 * [taylor]: Taking taylor expansion of v in v 2.167 * [taylor]: Taking taylor expansion of 1.0 in v 2.223 * [approximate]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.223 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in v 2.223 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.223 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.223 * [taylor]: Taking taylor expansion of 2.0 in v 2.223 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.223 * [taylor]: Taking taylor expansion of 6.0 in v 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.223 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.223 * [taylor]: Taking taylor expansion of v in v 2.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow v 2)) 1.0)) in v 2.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 2)) 1.0) in v 2.227 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.227 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.227 * [taylor]: Taking taylor expansion of v in v 2.228 * [taylor]: Taking taylor expansion of 1.0 in v 2.229 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in v 2.229 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.229 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.229 * [taylor]: Taking taylor expansion of 2.0 in v 2.229 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.229 * [taylor]: Taking taylor expansion of 6.0 in v 2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.229 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.229 * [taylor]: Taking taylor expansion of v in v 2.233 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow v 2)) 1.0)) in v 2.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 2)) 1.0) in v 2.233 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.233 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.233 * [taylor]: Taking taylor expansion of v in v 2.234 * [taylor]: Taking taylor expansion of 1.0 in v 2.295 * [approximate]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in (v) around 0 2.295 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in v 2.296 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.296 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.296 * [taylor]: Taking taylor expansion of 2.0 in v 2.296 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.296 * [taylor]: Taking taylor expansion of 6.0 in v 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.296 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.296 * [taylor]: Taking taylor expansion of v in v 2.305 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow v 2)) 1.0)) in v 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 2)) 1.0) in v 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.305 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.305 * [taylor]: Taking taylor expansion of v in v 2.306 * [taylor]: Taking taylor expansion of 1.0 in v 2.306 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (/ 1 (+ (/ 1 (pow v 2)) 1.0))) in v 2.306 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.306 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.306 * [taylor]: Taking taylor expansion of 2.0 in v 2.306 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.306 * [taylor]: Taking taylor expansion of 6.0 in v 2.307 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.307 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.307 * [taylor]: Taking taylor expansion of v in v 2.311 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow v 2)) 1.0)) in v 2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow v 2)) 1.0) in v 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.311 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.311 * [taylor]: Taking taylor expansion of v in v 2.311 * [taylor]: Taking taylor expansion of 1.0 in v 2.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.373 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in (v) around 0 2.373 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 2.373 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 2.373 * [taylor]: Taking taylor expansion of 2.0 in v 2.373 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.373 * [taylor]: Taking taylor expansion of 6.0 in v 2.373 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.373 * [taylor]: Taking taylor expansion of v in v 2.374 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 2.374 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 2.374 * [taylor]: Taking taylor expansion of 2.0 in v 2.374 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 2.375 * [taylor]: Taking taylor expansion of 6.0 in v 2.375 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.375 * [taylor]: Taking taylor expansion of v in v 2.397 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 2.397 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.397 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.397 * [taylor]: Taking taylor expansion of 2.0 in v 2.397 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.397 * [taylor]: Taking taylor expansion of 6.0 in v 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.397 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.397 * [taylor]: Taking taylor expansion of v in v 2.401 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.401 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.401 * [taylor]: Taking taylor expansion of 2.0 in v 2.401 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.401 * [taylor]: Taking taylor expansion of 6.0 in v 2.401 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.401 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.401 * [taylor]: Taking taylor expansion of v in v 2.426 * [approximate]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in (v) around 0 2.426 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.426 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.426 * [taylor]: Taking taylor expansion of 2.0 in v 2.426 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.426 * [taylor]: Taking taylor expansion of 6.0 in v 2.426 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.426 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.426 * [taylor]: Taking taylor expansion of v in v 2.430 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 2.430 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 2.430 * [taylor]: Taking taylor expansion of 2.0 in v 2.430 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 2.430 * [taylor]: Taking taylor expansion of 6.0 in v 2.430 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 2.430 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.430 * [taylor]: Taking taylor expansion of v in v 2.454 * * * [progress]: simplifying candidates 2.455 * [simplify]: Simplifying using # : (* 6.0 v) (* 6.0 v) (+ 2 2) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* v v) (* 2 2) (* (* v v) v) (* (* v v) v) (* v (* v v)) (* v (* v v)) (- (sqrt (- 2.0 (* 6.0 (* v v))))) (- (+ 1.0 (* v v))) (/ 1 (+ 1.0 (* v v))) (/ (+ 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (pow 1.0 3) (pow (* v v) 3))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (- (* 1.0 1.0) (* (* v v) (* v v)))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (pow v 4) (pow v 4) (pow v 4) (- (+ (* 1.0 (* (sqrt 2.0) (pow v 4))) (+ (* 1.0 (sqrt 2.0)) (* 3.0 (/ (pow v 4) (sqrt 2.0))))) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (+ (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))) (* 1.0 (* (sqrt 2.0) (pow v 2)))))) (- (+ (/ (sqrt (- 6.0)) v) (+ (* 1.0 (/ 1 (* (pow v 3) (sqrt (- 6.0))))) (* 1.0 (/ (sqrt (- 6.0)) (pow v 5))))) (+ (* 1.0 (/ (sqrt (- 6.0)) (pow v 3))) (+ (* 0.5 (/ 1 (* (pow v 5) (pow (sqrt (- 6.0)) 3)))) (* 1.0 (/ 1 (* (pow v 5) (sqrt (- 6.0)))))))) (- (+ (* 1.0 (/ (sqrt (- 6.0)) (pow v 3))) (+ (* 0.5 (/ 1 (* (pow v 5) (pow (sqrt (- 6.0)) 3)))) (* 1.0 (/ 1 (* (pow v 5) (sqrt (- 6.0))))))) (+ (/ (sqrt (- 6.0)) v) (+ (* 1.0 (/ 1 (* (pow v 3) (sqrt (- 6.0))))) (* 1.0 (/ (sqrt (- 6.0)) (pow v 5)))))) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (- (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0)))))) (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3))))) (- (* 0.5 (/ 1 (* (pow v 3) (pow (sqrt (- 6.0)) 3)))) (+ (* v (sqrt (- 6.0))) (* 1.0 (/ 1 (* v (sqrt (- 6.0))))))) 2.459 * * [simplify]: iteration 0 : 278 enodes (cost 267 ) 2.464 * * [simplify]: iteration 1 : 1051 enodes (cost 266 ) 2.487 * * [simplify]: iteration 2 : 5001 enodes (cost 257 ) 2.489 * [simplify]: Simplified to: (* 6.0 v) (* 6.0 v) 4 (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) (pow v 2) 4 (pow v 3) (pow v 3) (pow v 3) (pow v 3) (- (sqrt (- 2.0 (* 6.0 (* v v))))) (- (+ 1.0 (* v v))) (/ 1 (+ 1.0 (* v v))) (/ (+ 1.0 (* v v)) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (+ (pow 1.0 3) (pow (* v v) 3))) (/ (sqrt (- 2.0 (* 6.0 (* v v)))) (- (* 1.0 1.0) (* (* v v) (* v v)))) (* (+ 1.0 (* v v)) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v))))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))) (sqrt (- (pow 2.0 3) (pow (* 6.0 (* v v)) 3))) (sqrt (+ (* 2.0 2.0) (+ (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 2.0 (* 6.0 (* v v)))))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))) (sqrt (+ 2.0 (* 6.0 (* v v)))) (* 6.0 (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) (pow v 4) (pow v 4) (pow v 4) (+ (* (sqrt 2.0) (+ (* 1.0 (pow v 4)) 1.0)) (+ (* 3.0 (- (/ (pow v 4) (sqrt 2.0)) (/ (pow v 2) (sqrt 2.0)))) (- (+ (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))) (* 1.0 (* (sqrt 2.0) (pow v 2))))))) (- (* 1.0 (+ (/ 1 (* (pow v 3) (sqrt (- 6.0)))) (/ (sqrt (- 6.0)) (pow v 5)))) (+ (/ (/ 1.0 (sqrt (- 6.0))) (pow v 5)) (+ (/ (/ 0.5 (pow (sqrt (- 6.0)) 3)) (pow v 5)) (- (* 1.0 (/ (sqrt (- 6.0)) (pow v 3))) (/ (sqrt (- 6.0)) v))))) (- (* (/ 1 (pow v 5)) (+ (/ 1.0 (sqrt (- 6.0))) (/ 0.5 (pow (sqrt (- 6.0)) 3)))) (+ (/ (/ 1.0 (sqrt (- 6.0))) (pow v 3)) (+ (/ (sqrt (- 6.0)) v) (* 1.0 (- (/ (sqrt (- 6.0)) (pow v 5)) (/ (sqrt (- 6.0)) (pow v 3))))))) (- (sqrt 2.0) (+ (* 3.0 (/ (pow v 2) (sqrt 2.0))) (* 4.5 (/ (pow v 4) (pow (sqrt 2.0) 3))))) (+ (+ (/ (- 0.5) (* (pow v 3) (pow (sqrt (- 6.0)) 3))) (/ (/ 1.0 (sqrt (- 6.0))) v)) (* v (sqrt (- 6.0)))) (- (/ (/ 0.5 (pow (sqrt (- 6.0)) 3)) (pow v 3)) (- (* v (sqrt (- 6.0))) (/ (- 1.0) (* v (sqrt (- 6.0)))))) 2.489 * * * [progress]: adding candidates to table 2.596 * [progress]: [Phase 3 of 3] Extracting. 2.596 * * [regime]: Finding splitpoints for: (# # #) 2.597 * * * [regime-changes]: Trying 4 branch expressions: ((* v v) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) v) 2.597 * * * * [regimes]: Trying to branch on (* v v) from (# # #) 2.614 * * * * [regimes]: Trying to branch on (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) from (# # #) 2.629 * * * * [regimes]: Trying to branch on (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) from (# # #) 2.645 * * * * [regimes]: Trying to branch on v from (# # #) 2.663 * * * [regime]: Found split indices: #