10.595 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 0.066 * * [simplify]: iteration 0 : 32 enodes (cost 10 ) 0.068 * * [simplify]: iteration 1 : 91 enodes (cost 10 ) 0.070 * * [simplify]: iteration 2 : 263 enodes (cost 10 ) 0.075 * * [simplify]: iteration 3 : 620 enodes (cost 10 ) 0.084 * * [simplify]: iteration 4 : 1138 enodes (cost 10 ) 0.096 * * [simplify]: iteration 5 : 1470 enodes (cost 10 ) 0.110 * * [simplify]: iteration 6 : 1510 enodes (cost 10 ) 0.125 * * [simplify]: iteration 7 : 1510 enodes (cost 10 ) 0.125 * [simplify]: Simplified to: (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.168 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1 2) 0.175 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.213 * * * [progress]: generating series expansions 0.213 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.214 * [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 0.214 * [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 0.214 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.214 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 0.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 0.214 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 0.214 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.214 * [taylor]: Taking taylor expansion of 2.0 in v 0.214 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.214 * [taylor]: Taking taylor expansion of 6.0 in v 0.214 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.214 * [taylor]: Taking taylor expansion of v in v 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 0.216 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.217 * [taylor]: Taking taylor expansion of 1.0 in v 0.217 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.217 * [taylor]: Taking taylor expansion of v in v 0.217 * [taylor]: Taking taylor expansion of PI in v 0.218 * [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 0.218 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) (/ 1 (* (- 1.0 (pow v 2)) PI))) in v 0.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (pow v 2))))) in v 0.218 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (pow v 2)))) in v 0.218 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.218 * [taylor]: Taking taylor expansion of 2.0 in v 0.218 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.218 * [taylor]: Taking taylor expansion of 6.0 in v 0.218 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.218 * [taylor]: Taking taylor expansion of v in v 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (pow v 2)) PI)) in v 0.220 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.220 * [taylor]: Taking taylor expansion of 1.0 in v 0.220 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.220 * [taylor]: Taking taylor expansion of v in v 0.220 * [taylor]: Taking taylor expansion of PI in v 0.350 * [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 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.350 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.350 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.350 * [taylor]: Taking taylor expansion of 2.0 in v 0.350 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.350 * [taylor]: Taking taylor expansion of 6.0 in v 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.350 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.350 * [taylor]: Taking taylor expansion of v in v 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.355 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.355 * [taylor]: Taking taylor expansion of 1.0 in v 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.355 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.355 * [taylor]: Taking taylor expansion of v in v 0.355 * [taylor]: Taking taylor expansion of PI in v 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.357 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.357 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.357 * [taylor]: Taking taylor expansion of 2.0 in v 0.357 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.357 * [taylor]: Taking taylor expansion of 6.0 in v 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.357 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.357 * [taylor]: Taking taylor expansion of v in v 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.368 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.368 * [taylor]: Taking taylor expansion of 1.0 in v 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.368 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.368 * [taylor]: Taking taylor expansion of v in v 0.369 * [taylor]: Taking taylor expansion of PI in v 0.508 * [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 0.508 * [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 0.508 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.508 * [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 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.508 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.508 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.508 * [taylor]: Taking taylor expansion of 2.0 in v 0.508 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.508 * [taylor]: Taking taylor expansion of 6.0 in v 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.508 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.508 * [taylor]: Taking taylor expansion of v in v 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.513 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.513 * [taylor]: Taking taylor expansion of 1.0 in v 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.513 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.513 * [taylor]: Taking taylor expansion of v in v 0.514 * [taylor]: Taking taylor expansion of PI in v 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of 1.3333333333333333 in v 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2)))))) in v 0.515 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.515 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.515 * [taylor]: Taking taylor expansion of 2.0 in v 0.515 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.515 * [taylor]: Taking taylor expansion of 6.0 in v 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.515 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.515 * [taylor]: Taking taylor expansion of v in v 0.520 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.520 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.520 * [taylor]: Taking taylor expansion of 1.0 in v 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.520 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.520 * [taylor]: Taking taylor expansion of v in v 0.521 * [taylor]: Taking taylor expansion of PI in v 0.661 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1 2) 0.661 * [approximate]: Taking taylor expansion of (* 6.0 (pow v 2)) in (v) around 0 0.661 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.661 * [taylor]: Taking taylor expansion of 6.0 in v 0.661 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.661 * [taylor]: Taking taylor expansion of v in v 0.661 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.661 * [taylor]: Taking taylor expansion of 6.0 in v 0.661 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.661 * [taylor]: Taking taylor expansion of v in v 0.669 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 0.669 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.669 * [taylor]: Taking taylor expansion of 6.0 in v 0.669 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.669 * [taylor]: Taking taylor expansion of v in v 0.670 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.670 * [taylor]: Taking taylor expansion of 6.0 in v 0.670 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.670 * [taylor]: Taking taylor expansion of v in v 0.677 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 0.678 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.678 * [taylor]: Taking taylor expansion of 6.0 in v 0.678 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.678 * [taylor]: Taking taylor expansion of v in v 0.678 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 0.678 * [taylor]: Taking taylor expansion of 6.0 in v 0.678 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.679 * [taylor]: Taking taylor expansion of v in v 0.686 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.687 * [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 0.687 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI))) in v 0.687 * [taylor]: Taking taylor expansion of 3.0 in v 0.687 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI)) in v 0.687 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.687 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.687 * [taylor]: Taking taylor expansion of 2.0 in v 0.687 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.687 * [taylor]: Taking taylor expansion of 6.0 in v 0.687 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.687 * [taylor]: Taking taylor expansion of v in v 0.688 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.688 * [taylor]: Taking taylor expansion of 1.0 in v 0.688 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.688 * [taylor]: Taking taylor expansion of v in v 0.688 * [taylor]: Taking taylor expansion of PI in v 0.688 * [taylor]: Taking taylor expansion of (* 3.0 (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI))) in v 0.688 * [taylor]: Taking taylor expansion of 3.0 in v 0.688 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (pow v 2)))) (* (- 1.0 (pow v 2)) PI)) in v 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (pow v 2)))) in v 0.688 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (pow v 2))) in v 0.688 * [taylor]: Taking taylor expansion of 2.0 in v 0.688 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 0.688 * [taylor]: Taking taylor expansion of 6.0 in v 0.688 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.688 * [taylor]: Taking taylor expansion of v in v 0.690 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow v 2)) PI) in v 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (pow v 2)) in v 0.690 * [taylor]: Taking taylor expansion of 1.0 in v 0.690 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.690 * [taylor]: Taking taylor expansion of v in v 0.690 * [taylor]: Taking taylor expansion of PI in v 0.767 * [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 0.767 * [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 0.767 * [taylor]: Taking taylor expansion of 3.0 in v 0.767 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.768 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.768 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.768 * [taylor]: Taking taylor expansion of 2.0 in v 0.768 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.768 * [taylor]: Taking taylor expansion of 6.0 in v 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.768 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.768 * [taylor]: Taking taylor expansion of v in v 0.772 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.772 * [taylor]: Taking taylor expansion of 1.0 in v 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.772 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.772 * [taylor]: Taking taylor expansion of v in v 0.773 * [taylor]: Taking taylor expansion of PI in v 0.773 * [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 0.773 * [taylor]: Taking taylor expansion of 3.0 in v 0.773 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.773 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.773 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.773 * [taylor]: Taking taylor expansion of 2.0 in v 0.773 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.773 * [taylor]: Taking taylor expansion of 6.0 in v 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.773 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.773 * [taylor]: Taking taylor expansion of v in v 0.777 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.777 * [taylor]: Taking taylor expansion of 1.0 in v 0.777 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.777 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.777 * [taylor]: Taking taylor expansion of v in v 0.777 * [taylor]: Taking taylor expansion of PI in v 0.876 * [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 0.876 * [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 0.876 * [taylor]: Taking taylor expansion of 3.0 in v 0.876 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.876 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.876 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.876 * [taylor]: Taking taylor expansion of 2.0 in v 0.876 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.876 * [taylor]: Taking taylor expansion of 6.0 in v 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.876 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.876 * [taylor]: Taking taylor expansion of v in v 0.881 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.881 * [taylor]: Taking taylor expansion of 1.0 in v 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.881 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.881 * [taylor]: Taking taylor expansion of v in v 0.881 * [taylor]: Taking taylor expansion of PI in v 0.881 * [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 0.881 * [taylor]: Taking taylor expansion of 3.0 in v 0.881 * [taylor]: Taking taylor expansion of (* (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) (* (- 1.0 (/ 1 (pow v 2))) PI)) in v 0.881 * [taylor]: Taking taylor expansion of (sqrt (- 2.0 (* 6.0 (/ 1 (pow v 2))))) in v 0.881 * [taylor]: Taking taylor expansion of (- 2.0 (* 6.0 (/ 1 (pow v 2)))) in v 0.881 * [taylor]: Taking taylor expansion of 2.0 in v 0.881 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (pow v 2))) in v 0.881 * [taylor]: Taking taylor expansion of 6.0 in v 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.881 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.881 * [taylor]: Taking taylor expansion of v in v 0.885 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow v 2))) PI) in v 0.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow v 2))) in v 0.886 * [taylor]: Taking taylor expansion of 1.0 in v 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 0.886 * [taylor]: Taking taylor expansion of (pow v 2) in v 0.886 * [taylor]: Taking taylor expansion of v in v 0.886 * [taylor]: Taking taylor expansion of PI in v 0.977 * * * [progress]: simplifying candidates 0.979 * [simplify]: Simplifying using # : (- (log 4.0) (+ (+ (+ (log 3.0) (log PI)) (log (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v))))))) (- (log 4.0) (+ (+ (log (* 3.0 PI)) (log (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v))))))) (- (log 4.0) (+ (log (* (* 3.0 PI) (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v))))))) (- (log 4.0) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (* (* 4.0 4.0) 4.0) (* (* (* (* (* 3.0 3.0) 3.0) (* (* PI PI) PI)) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (* (* 4.0 4.0) 4.0) (* (* (* (* (* 3.0 PI) (* 3.0 PI)) (* 3.0 PI)) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (* (* 4.0 4.0) 4.0) (* (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (/ (* (* 4.0 4.0) 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)))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (* (cbrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))) (cbrt (/ 4.0 (* (* (* 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)))))) (/ 4.0 (* (* (* 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))))))) (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (sqrt (/ 4.0 (* (* (* 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)))))) (/ (* (cbrt 4.0) (cbrt 4.0)) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (cbrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (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)))) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt 4.0)) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt 4.0)) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 4.0) (/ 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 v)) (* 6.0 (* v v)) (+ (log 6.0) (+ (log v) (log v))) (+ (log 6.0) (log (* v v))) (log (* 6.0 (* v v))) (exp (* 6.0 (* v v))) (* (* (* 6.0 6.0) 6.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 6.0 6.0) 6.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 6.0 (* v v))) (cbrt (* 6.0 (* v v)))) (cbrt (* 6.0 (* v v))) (* (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (* (sqrt 6.0) v) (* (sqrt 6.0) v) (* 6.0 v) (* (cbrt 6.0) (* v v)) (* (sqrt 6.0) (* v v)) (* 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))) (sqrt (- 2.0 (* 6.0 (* v v))))) (+ (+ (+ (log 3.0) (log PI)) (log (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (+ (+ (log (* 3.0 PI)) (log (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (+ (log (* (* 3.0 PI) (- 1.0 (* v v)))) (log (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (exp (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* (* (* 3.0 3.0) 3.0) (* (* PI PI) PI)) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* (* (* 3.0 PI) (* 3.0 PI)) (* 3.0 PI)) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (* 3.0 PI) (- 1.0 (* v v)))) (* (* (sqrt (- 2.0 (* 6.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (cbrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (cbrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (* (* (* 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))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (* (* (* 3.0 PI) (- 1.0 (* 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))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (* (cbrt (- 2.0 (* 6.0 (* v v)))) (cbrt (- 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt 1)) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) 1) (* (- 1.0 (* v v)) (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)) (- (+ (* 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)))))))) 0.988 * * [simplify]: iteration 0 : 824 enodes (cost 1183 ) 1.003 * * [simplify]: iteration 1 : 3898 enodes (cost 1036 ) 1.066 * * [simplify]: iteration 2 : 5002 enodes (cost 1034 ) 1.071 * [simplify]: Simplified to: (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (log (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (exp (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3) (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3) (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3) (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3) (* (cbrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))))) (cbrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3) (sqrt (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (sqrt (/ 4.0 (* (* (* 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)))))) (/ (* (cbrt 4.0) (cbrt 4.0)) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (cbrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))) (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (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)))) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt 4.0)) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) (sqrt 4.0)) (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 4.0) (/ 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 v)) (* 6.0 (* v v)) (log (* 6.0 (* v v))) (log (* 6.0 (* v v))) (log (* 6.0 (* v v))) (exp (* 6.0 (* v v))) (pow (* 6.0 (* v v)) 3) (pow (* 6.0 (* v v)) 3) (* (cbrt (* 6.0 (* v v))) (cbrt (* 6.0 (* v v)))) (cbrt (* 6.0 (* v v))) (pow (* 6.0 (* v v)) 3) (sqrt (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (* (sqrt 6.0) v) (* (sqrt 6.0) v) (* 6.0 v) (* (cbrt 6.0) (* v v)) (* (sqrt 6.0) (* v v)) (* 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))) (sqrt (- 2.0 (* 6.0 (* v v))))) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (log (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (exp (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3) (* (cbrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (cbrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))) (cbrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (pow (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3) (sqrt (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) (sqrt (* (* (* 3.0 PI) (- 1.0 (* 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))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (* (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))) (cbrt (sqrt (- 2.0 (* 6.0 (* v v))))))) (* (* 3.0 PI) (* (- 1.0 (* v v)) (fabs (cbrt (- 2.0 (* 6.0 (* v v))))))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* 3.0 PI) (- 1.0 (* v v))) (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (sqrt (- 2.0 (* 6.0 (* v v)))))) (* (* 3.0 PI) (- 1.0 (* v v))) (* (- 1.0 (* v v)) (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)) (- (+ (* 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))))) 1.072 * * * [progress]: adding candidates to table 1.289 * * [progress]: iteration 2 / 4 1.289 * * * [progress]: picking best candidate 1.291 * * * * [pick]: Picked # 1.291 * * * [progress]: localizing error 1.307 * * * [progress]: generating rewritten candidates 1.307 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 1 2) 1.314 * * * [progress]: generating series expansions 1.314 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 1 2) 1.314 * [approximate]: Taking taylor expansion of (* 6.0 (pow v 2)) in (v) around 0 1.314 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.314 * [taylor]: Taking taylor expansion of 6.0 in v 1.314 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.315 * [taylor]: Taking taylor expansion of v in v 1.315 * [taylor]: Taking taylor expansion of (* 6.0 (pow v 2)) in v 1.315 * [taylor]: Taking taylor expansion of 6.0 in v 1.315 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.315 * [taylor]: Taking taylor expansion of v in v 1.323 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 1.323 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.323 * [taylor]: Taking taylor expansion of 6.0 in v 1.323 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.323 * [taylor]: Taking taylor expansion of v in v 1.324 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.324 * [taylor]: Taking taylor expansion of 6.0 in v 1.324 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.324 * [taylor]: Taking taylor expansion of v in v 1.332 * [approximate]: Taking taylor expansion of (/ 6.0 (pow v 2)) in (v) around 0 1.332 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.332 * [taylor]: Taking taylor expansion of 6.0 in v 1.332 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.332 * [taylor]: Taking taylor expansion of v in v 1.332 * [taylor]: Taking taylor expansion of (/ 6.0 (pow v 2)) in v 1.332 * [taylor]: Taking taylor expansion of 6.0 in v 1.332 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.332 * [taylor]: Taking taylor expansion of v in v 1.340 * * * [progress]: simplifying candidates 1.340 * [simplify]: Simplifying using # : (* 6.0 (* v v)) (* 6.0 (* v v)) (+ (log 6.0) (+ (log v) (log v))) (+ (log 6.0) (log (* v v))) (log (* 6.0 (* v v))) (exp (* 6.0 (* v v))) (* (* (* 6.0 6.0) 6.0) (* (* (* v v) v) (* (* v v) v))) (* (* (* 6.0 6.0) 6.0) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 6.0 (* v v))) (cbrt (* 6.0 (* v v)))) (cbrt (* 6.0 (* v v))) (* (* (* 6.0 (* v v)) (* 6.0 (* v v))) (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (* (sqrt 6.0) v) (* (sqrt 6.0) v) (* 6.0 v) (* (cbrt 6.0) (* v v)) (* (sqrt 6.0) (* v v)) (* 6.0 (* v v)) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) (* 6.0 (pow v 2)) 1.343 * * [simplify]: iteration 0 : 86 enodes (cost 75 ) 1.346 * * [simplify]: iteration 1 : 289 enodes (cost 60 ) 1.351 * * [simplify]: iteration 2 : 825 enodes (cost 60 ) 1.368 * * [simplify]: iteration 3 : 2881 enodes (cost 60 ) 1.439 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 1.440 * [simplify]: Simplified to: (* 6.0 (* v v)) (* 6.0 (* v v)) (log (* 6.0 (* v v))) (log (* 6.0 (* v v))) (log (* 6.0 (* v v))) (exp (* 6.0 (* v v))) (pow (* 6.0 (* v v)) 3) (pow (* 6.0 (* v v)) 3) (* (cbrt (* 6.0 (* v v))) (cbrt (* 6.0 (* v v)))) (cbrt (* 6.0 (* v v))) (pow (* 6.0 (* v v)) 3) (sqrt (* 6.0 (* v v))) (sqrt (* 6.0 (* v v))) (* (sqrt 6.0) v) (* (sqrt 6.0) v) (* 6.0 v) (* (cbrt 6.0) (* v v)) (* (sqrt 6.0) (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) (* 6.0 (* v v)) 1.440 * * * [progress]: adding candidates to table 1.481 * [progress]: [Phase 3 of 3] Extracting. 1.484 * [simplify]: Simplifying using # : (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 1.484 * * [simplify]: iteration 0 : 19 enodes (cost 10 ) 1.485 * * [simplify]: iteration 1 : 19 enodes (cost 10 ) 1.485 * [simplify]: Simplified to: (/ (/ 4.0 (* (* 3.0 PI) (- 1.0 (* v v)))) (sqrt (- 2.0 (* 6.0 (* v v))))) 3.271 * [regime-testing]: End program error score: 0.011848637994148259