16.959 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.071 * * [simplify]: iteration 0 : 18 enodes (cost 8 ) 0.073 * * [simplify]: iteration 1 : 43 enodes (cost 8 ) 0.074 * * [simplify]: iteration 2 : 123 enodes (cost 8 ) 0.077 * * [simplify]: iteration 3 : 212 enodes (cost 8 ) 0.079 * * [simplify]: iteration 4 : 374 enodes (cost 8 ) 0.083 * * [simplify]: iteration 5 : 496 enodes (cost 8 ) 0.088 * * [simplify]: iteration 6 : 715 enodes (cost 8 ) 0.095 * * [simplify]: iteration 7 : 967 enodes (cost 8 ) 0.103 * * [simplify]: iteration 8 : 1121 enodes (cost 8 ) 0.112 * * [simplify]: iteration 9 : 1221 enodes (cost 8 ) 0.120 * * [simplify]: iteration 10 : 1497 enodes (cost 8 ) 0.132 * * [simplify]: iteration 11 : 1752 enodes (cost 8 ) 0.146 * * [simplify]: iteration 12 : 2132 enodes (cost 8 ) 0.161 * * [simplify]: iteration 13 : 2469 enodes (cost 8 ) 0.183 * * [simplify]: iteration 14 : 3314 enodes (cost 8 ) 0.226 * * [simplify]: iteration 15 : 5001 enodes (cost 8 ) 0.226 * [simplify]: Simplified to: (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.226 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.249 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.253 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.269 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.270 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in (n) around 0 0.270 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.270 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.270 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.270 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.271 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.271 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (log n) in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.272 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.272 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.272 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.272 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.273 * [taylor]: Taking taylor expansion of (log n) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.320 * [approximate]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in (n) around 0 0.320 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.320 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.320 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.321 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of 1.0 in n 0.322 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.322 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.322 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.323 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.323 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.324 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of 1.0 in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.326 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.378 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in (n) around 0 0.378 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.378 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.378 * [taylor]: Taking taylor expansion of 1.0 in n 0.378 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.378 * [taylor]: Taking taylor expansion of 1.0 in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.379 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.379 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.379 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.379 * [taylor]: Taking taylor expansion of -1 in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.381 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.381 * [taylor]: Taking taylor expansion of 1.0 in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.383 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.383 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.383 * [taylor]: Taking taylor expansion of 1.0 in n 0.384 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.384 * [taylor]: Taking taylor expansion of 1.0 in n 0.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.385 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.385 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.385 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.385 * [taylor]: Taking taylor expansion of -1 in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.386 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.386 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.386 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.447 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.447 * [approximate]: Taking taylor expansion of (* n (log n)) in (n) around 0 0.447 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of (log n) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (log n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.515 * [approximate]: Taking taylor expansion of (/ (log (/ 1 n)) n) in (n) around 0 0.515 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.515 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.515 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.516 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.516 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.561 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in (n) around 0 0.561 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.561 * [taylor]: Taking taylor expansion of -1 in n 0.561 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.561 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.561 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.561 * [taylor]: Taking taylor expansion of -1 in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.563 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.563 * [taylor]: Taking taylor expansion of -1 in n 0.563 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.563 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.563 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.563 * [taylor]: Taking taylor expansion of -1 in n 0.563 * [taylor]: Taking taylor expansion of n in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.620 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.620 * [approximate]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in (n) around 0 0.620 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.620 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.620 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.621 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.621 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.642 * [approximate]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in (n) around 0 0.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.642 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.642 * [taylor]: Taking taylor expansion of 1.0 in n 0.642 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.642 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [approximate]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in (n) around 0 0.659 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.659 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.660 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.661 * [taylor]: Taking taylor expansion of 1.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.689 * * * [progress]: simplifying candidates 0.690 * [simplify]: Simplifying using # : (/ (exp (* (+ n 1.0) (log (+ n 1.0)))) (exp (* n (log n)))) (log (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (exp (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (* (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (* n (log n)) 3)) (+ (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (+ (* (* n (log n)) (* n (log n))) (* (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (- (* n (log n))) (- (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (* n (log n)) (* n (log n)))) (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log (* (cbrt n) (cbrt n))))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log (sqrt n)))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log 1))) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log 1) n)) (- (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (* n (log n))) (- (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* n (log n))) (* n (log n)) (+ (log n) (log (log n))) (log (* n (log n))) (exp (* n (log n))) (* (* (* n n) n) (* (* (log n) (log n)) (log n))) (* (cbrt (* n (log n))) (cbrt (* n (log n)))) (cbrt (* n (log n))) (* (* (* n (log n)) (* n (log n))) (* n (log n))) (sqrt (* n (log n))) (sqrt (* n (log n))) (* (sqrt n) (sqrt (log n))) (* (sqrt n) (sqrt (log n))) (* n (log (* (cbrt n) (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) (* n (log 1)) (* n (log n)) (* (log (* (cbrt n) (cbrt n))) n) (* (log (cbrt n)) n) (* (log (sqrt n)) n) (* (log (sqrt n)) n) (* (log 1) n) (* (log n) n) (* n 1) (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) (* n 1) (* (cbrt n) (log n)) (* (sqrt n) (log n)) (* n (log n)) (* (+ n 1.0) (log (+ n 1.0))) (+ (log (+ n 1.0)) (log (log (+ n 1.0)))) (log (* (+ n 1.0) (log (+ n 1.0)))) (exp (* (+ n 1.0) (log (+ n 1.0)))) (* (* (* (+ n 1.0) (+ n 1.0)) (+ n 1.0)) (* (* (log (+ n 1.0)) (log (+ n 1.0))) (log (+ n 1.0)))) (* (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (cbrt (* (+ n 1.0) (log (+ n 1.0))))) (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (* (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) (log (* (cbrt (+ n 1.0)) (cbrt (+ n 1.0))))) (* (+ n 1.0) (log (cbrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log (sqrt (+ n 1.0)))) (* (+ n 1.0) (log 1)) (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log 1)) (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt (+ n 1.0)) (cbrt (+ n 1.0)))) (+ n 1.0)) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log 1) (+ n 1.0)) (* (log (+ n 1.0)) (+ n 1.0)) (* (log 1) (+ n 1.0)) (* (log (+ n 1.0)) (+ n 1.0)) (* (+ n 1.0) 1) (* (+ n 1.0) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) 1) (* (cbrt (+ n 1.0)) (log (+ n 1.0))) (* (sqrt (+ n 1.0)) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))) (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (- (+ (* 1.0 n) (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (* (log 1.0) n)))) (+ (* 0.5 (/ (pow n 2) (pow 1.0 2))) (* n (log n)))) (- (+ (* 0.5 (/ 1 n)) 1.0) (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) 1.0)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n))))) (* n (log n)) (* -1 (* (log (/ 1 n)) n)) (* (- (log -1) (log (/ -1 n))) n) (- (+ (* 1.0 n) (+ (* 1.0 (log 1.0)) (+ (* 1.0 (pow n 2)) (* (log 1.0) n)))) (* 0.5 (/ (pow n 2) (pow 1.0 2)))) (- (+ (* 0.5 (/ 1 n)) 1.0) (+ (* 1.0 (log (/ 1 n))) (* (log (/ 1 n)) n))) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) (+ (* (log -1) n) 1.0))) (+ (* n (log (/ -1 n))) (* 1.0 (log (/ -1 n))))) 0.696 * * [simplify]: iteration 0 : 419 enodes (cost 643 ) 0.704 * * [simplify]: iteration 1 : 1786 enodes (cost 587 ) 0.739 * * [simplify]: iteration 2 : 5001 enodes (cost 568 ) 0.742 * [simplify]: Simplified to: (* (pow (+ n 1.0) (+ n 1.0)) (pow (/ 1 n) n)) (log (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (* (pow (+ n 1.0) (+ n 1.0)) (pow (/ 1 n) n)) (* (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))))) (cbrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (pow (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) 3) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (sqrt (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))) (- (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (pow (* n (log n)) 3)) (+ (* (* n (log n)) (+ (* n (log n)) (* (+ n 1.0) (log (+ n 1.0))))) (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0))))) (- (* n (log n))) (- (* (* (+ n 1.0) (log (+ n 1.0))) (* (+ n 1.0) (log (+ n 1.0)))) (* (* n (log n)) (* n (log n)))) (+ (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (log (+ n 1.0)) (+ n 1.0)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (* (cbrt n) (cbrt n))) n)) (- (* (+ n 1.0) (log (+ n 1.0))) (* (log (sqrt n)) n)) (* (log (+ n 1.0)) (+ n 1.0)) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* (log (+ n 1.0)) (+ n 1.0)) (* n (log n))) (- (* n (log n))) (* n (log n)) (log (* n (log n))) (log (* n (log n))) (pow n n) (pow (* n (log n)) 3) (* (cbrt (* n (log n))) (cbrt (* n (log n)))) (cbrt (* n (log n))) (pow (* n (log n)) 3) (sqrt (* n (log n))) (sqrt (* n (log n))) (* (sqrt n) (sqrt (log n))) (* (sqrt n) (sqrt (log n))) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) 0 (* n (log n)) (* n (* 2 (log (cbrt n)))) (* n (log (cbrt n))) (* n (log (sqrt n))) (* n (log (sqrt n))) 0 (* n (log n)) n (* n (* (cbrt (log n)) (cbrt (log n)))) (* n (sqrt (log n))) n (* (cbrt n) (log n)) (* (sqrt n) (log n)) (* n (log n)) (* (log (+ n 1.0)) (+ n 1.0)) (log (* (+ n 1.0) (log (+ n 1.0)))) (log (* (+ n 1.0) (log (+ n 1.0)))) (pow (+ n 1.0) (+ n 1.0)) (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (* (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (cbrt (* (+ n 1.0) (log (+ n 1.0))))) (cbrt (* (+ n 1.0) (log (+ n 1.0)))) (pow (* (+ n 1.0) (log (+ n 1.0))) 3) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (sqrt (* (+ n 1.0) (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (sqrt (+ n 1.0)) (sqrt (log (+ n 1.0)))) (* (+ n 1.0) (* 2 (log (cbrt (+ n 1.0))))) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) (* (+ n 1.0) (* 2 (log (cbrt (+ n 1.0))))) (* (log (cbrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) (* (log (sqrt (+ n 1.0))) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) 0 (* (log (+ n 1.0)) (+ n 1.0)) (+ n 1.0) (* (+ n 1.0) (* (cbrt (log (+ n 1.0))) (cbrt (log (+ n 1.0))))) (* (+ n 1.0) (sqrt (log (+ n 1.0)))) (+ n 1.0) (* (cbrt (+ n 1.0)) (log (+ n 1.0))) (* (sqrt (+ n 1.0)) (log (+ n 1.0))) (* (log (+ n 1.0)) (+ n 1.0)) (* (log (+ n 1.0)) (+ n 1.0)) (* (+ (pow n 3) (pow 1.0 3)) (log (+ n 1.0))) (* (- (* n n) (* 1.0 1.0)) (log (+ n 1.0))) (- (- (+ (+ (* 1.0 (+ n (log 1.0))) (* (log 1.0) n)) (* 1.0 (pow n 2))) (* n (log n))) (* 0.5 (/ (pow n 2) (pow 1.0 2)))) (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) (- (+ (* 1.0 (log -1)) (+ (* 0.5 (/ 1 n)) 1.0)) (+ (* 0.16666666666666669 (/ 1 (pow n 2))) (* 1.0 (log (/ -1 n))))) (* n (log n)) (* n (log n)) (* n (log n)) (+ (* 1.0 (+ n (log 1.0))) (- (+ (* 1.0 (pow n 2)) (* (log 1.0) n)) (* 0.5 (/ (pow n 2) (pow 1.0 2))))) (+ 1.0 (- (* 0.5 (/ 1 n)) (* (log (/ 1 n)) (+ n 1.0)))) (+ (* 1.0 (log -1)) (- (+ (* 0.5 (/ 1 n)) (+ (* (log -1) n) 1.0)) (* (log (/ -1 n)) (+ n 1.0)))) 0.742 * * * [progress]: adding candidates to table 0.939 * * [progress]: iteration 2 / 4 0.939 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.941 * * * [progress]: localizing error 0.956 * * * [progress]: generating rewritten candidates 0.956 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2 2 2) 0.960 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2 2) 0.980 * * * [progress]: generating series expansions 0.980 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2 2 2) 0.980 * [approximate]: Taking taylor expansion of (/ 1 (pow n 2)) in (n) around 0 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.980 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.980 * [taylor]: Taking taylor expansion of n in n 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.981 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.981 * [taylor]: Taking taylor expansion of n in n 0.993 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 0.993 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.993 * [taylor]: Taking taylor expansion of n in n 0.993 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.993 * [taylor]: Taking taylor expansion of n in n 0.997 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 0.997 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.997 * [taylor]: Taking taylor expansion of n in n 0.997 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.997 * [taylor]: Taking taylor expansion of n in n 1.001 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2 2) 1.001 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 1.001 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.001 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.001 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.002 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.002 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.002 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.002 * [taylor]: Taking taylor expansion of n in n 1.009 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.009 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.009 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.010 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.010 * [taylor]: Taking taylor expansion of n in n 1.010 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.010 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.010 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.010 * [taylor]: Taking taylor expansion of n in n 1.018 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.018 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.018 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.018 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.018 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.018 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.018 * [taylor]: Taking taylor expansion of n in n 1.025 * * * [progress]: simplifying candidates 1.027 * [simplify]: Simplifying using # : (- 2) (- (* (log n) 2)) (- (* (log n) 2)) (- (log (pow n 2))) (- 0 (* (log n) 2)) (- 0 (* (log n) 2)) (- 0 (log (pow n 2))) (- (log 1) (* (log n) 2)) (- (log 1) (* (log n) 2)) (- (log 1) (log (pow n 2))) (log (/ 1 (pow n 2))) (exp (/ 1 (pow n 2))) (/ (* (* 1 1) 1) (* (* (pow n 2) (pow n 2)) (pow n 2))) (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2)))) (cbrt (/ 1 (pow n 2))) (* (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (/ 1 (pow n 2))) (sqrt (/ 1 (pow n 2))) (sqrt (/ 1 (pow n 2))) (- 1) (- (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt n) (cbrt n)) 2)) (/ (cbrt 1) (pow (cbrt n) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt n) 2)) (/ (cbrt 1) (pow (sqrt n) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) n) (/ (cbrt 1) n) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (cbrt 1) (cbrt (pow n 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow n 2))) (/ (cbrt 1) (sqrt (pow n 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow n 2)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ 2 2))) (/ (cbrt 1) (pow n (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt n) (cbrt n)) 2)) (/ (sqrt 1) (pow (cbrt n) 2)) (/ (sqrt 1) (pow (sqrt n) 2)) (/ (sqrt 1) (pow (sqrt n) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow n 2)) (/ (sqrt 1) n) (/ (sqrt 1) n) (/ (sqrt 1) (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ (sqrt 1) (cbrt (pow n 2))) (/ (sqrt 1) (sqrt (pow n 2))) (/ (sqrt 1) (sqrt (pow n 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow n 2)) (/ (sqrt 1) (pow n (/ 2 2))) (/ (sqrt 1) (pow n (/ 2 2))) (/ 1 (pow (* (cbrt n) (cbrt n)) 2)) (/ 1 (pow (cbrt n) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow 1 2)) (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (sqrt (pow n 2))) (/ 1 (sqrt (pow n 2))) (/ 1 1) (/ 1 (pow n 2)) (/ 1 (pow n (/ 2 2))) (/ 1 (pow n (/ 2 2))) (/ 1 (pow n 2)) (/ (pow n 2) 1) (/ 1 (pow (* (cbrt n) (cbrt n)) 2)) (/ 1 (pow (sqrt n) 2)) (/ 1 (pow 1 2)) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (sqrt (pow n 2))) (/ 1 1) (/ 1 (pow n (/ 2 2))) (/ (pow n 2) (cbrt 1)) (/ (pow n 2) (sqrt 1)) (/ (pow n 2) 1) (* 0.16666666666666669 (/ 1 (pow n 2))) (+ (log 0.16666666666666669) (- (* (log n) 2))) (+ (log 0.16666666666666669) (- (* (log n) 2))) (+ (log 0.16666666666666669) (- (log (pow n 2)))) (+ (log 0.16666666666666669) (- 0 (* (log n) 2))) (+ (log 0.16666666666666669) (- 0 (* (log n) 2))) (+ (log 0.16666666666666669) (- 0 (log (pow n 2)))) (+ (log 0.16666666666666669) (- (log 1) (* (log n) 2))) (+ (log 0.16666666666666669) (- (log 1) (* (log n) 2))) (+ (log 0.16666666666666669) (- (log 1) (log (pow n 2)))) (+ (log 0.16666666666666669) (log (/ 1 (pow n 2)))) (log (* 0.16666666666666669 (/ 1 (pow n 2)))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (/ (* (* 1 1) 1) (* (* (pow n 2) (pow n 2)) (pow n 2)))) (* (* (* 0.16666666666666669 0.16666666666666669) 0.16666666666666669) (* (* (/ 1 (pow n 2)) (/ 1 (pow n 2))) (/ 1 (pow n 2)))) (* (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2))))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (* (* 0.16666666666666669 (/ 1 (pow n 2))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (sqrt (/ 1 (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) n)) (* (sqrt 0.16666666666666669) (/ (sqrt 1) n)) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ (sqrt 1) (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ 1 (pow (sqrt n) 2))) (* (sqrt 0.16666666666666669) (/ 1 n)) (* (sqrt 0.16666666666666669) (/ 1 n)) (* (sqrt 0.16666666666666669) (/ 1 (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ 1 (sqrt (pow n 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow n (/ 2 2)))) (* (sqrt 0.16666666666666669) (/ 1 (pow n (/ 2 2)))) (* 0.16666666666666669 (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2))))) (* 0.16666666666666669 (sqrt (/ 1 (pow n 2)))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt n) 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) n)) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow n 2)))) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.16666666666666669 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ 2 2)))) (* 0.16666666666666669 (/ (sqrt 1) (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ (sqrt 1) (pow (sqrt n) 2))) (* 0.16666666666666669 (/ (sqrt 1) (pow 1 2))) (* 0.16666666666666669 (/ (sqrt 1) n)) (* 0.16666666666666669 (/ (sqrt 1) (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ (sqrt 1) (sqrt (pow n 2)))) (* 0.16666666666666669 (/ (sqrt 1) 1)) (* 0.16666666666666669 (/ (sqrt 1) (pow n (/ 2 2)))) (* 0.16666666666666669 (/ 1 (pow (* (cbrt n) (cbrt n)) 2))) (* 0.16666666666666669 (/ 1 (pow (sqrt n) 2))) (* 0.16666666666666669 (/ 1 (pow 1 2))) (* 0.16666666666666669 (/ 1 n)) (* 0.16666666666666669 (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2))))) (* 0.16666666666666669 (/ 1 (sqrt (pow n 2)))) (* 0.16666666666666669 (/ 1 1)) (* 0.16666666666666669 (/ 1 (pow n (/ 2 2)))) (* 0.16666666666666669 1) (* 0.16666666666666669 1) (* (cbrt 0.16666666666666669) (/ 1 (pow n 2))) (* (sqrt 0.16666666666666669) (/ 1 (pow n 2))) (* 0.16666666666666669 (/ 1 (pow n 2))) (* 0.16666666666666669 1) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 1.033 * * [simplify]: iteration 0 : 328 enodes (cost 574 ) 1.040 * * [simplify]: iteration 1 : 1460 enodes (cost 451 ) 1.064 * * [simplify]: iteration 2 : 5002 enodes (cost 367 ) 1.067 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (log (/ 1 (pow n 2))) (exp (/ 1 (pow n 2))) (/ 1 (pow (pow n 2) 3)) (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2)))) (cbrt (/ 1 (pow n 2))) (/ 1 (pow (pow n 2) 3)) (fabs (/ 1 n)) (fabs (/ 1 n)) (- 1) (- (pow n 2)) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow (cbrt n) 4)) (/ 1 (pow (cbrt n) 2)) (/ 1 n) (/ 1 n) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (cbrt (pow n 2))) (/ 1 (fabs n)) (/ 1 (fabs n)) 1 (/ 1 (pow n 2)) (/ 1 n) (/ 1 n) (/ 1 (pow n 2)) (pow n 2) (/ 1 (pow (cbrt n) 4)) (/ 1 n) 1 (/ 1 n) (/ 1 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 1 (fabs n)) 1 (/ 1 n) (pow n 2) (pow n 2) (pow n 2) (/ 0.16666666666666669 (pow n 2)) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (- (log 0.16666666666666669) (log (pow n 2))) (exp (* 0.16666666666666669 (/ 1 (pow n 2)))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (pow (/ 0.16666666666666669 (pow n 2)) 3) (* (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2))))) (cbrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (pow (/ 0.16666666666666669 (pow n 2)) 3) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (sqrt (* 0.16666666666666669 (/ 1 (pow n 2)))) (* (fabs (/ 1 n)) (sqrt 0.16666666666666669)) (* (fabs (/ 1 n)) (sqrt 0.16666666666666669)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (* (sqrt 0.16666666666666669) 1) (fabs n)) (/ (sqrt 0.16666666666666669) n) (/ (sqrt 0.16666666666666669) n) (* 0.16666666666666669 (* (cbrt (/ 1 (pow n 2))) (cbrt (/ 1 (pow n 2))))) (* 0.16666666666666669 (sqrt (/ 1 (pow n 2)))) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (pow (cbrt n) 4)) (/ 0.16666666666666669 n) 0.16666666666666669 (/ 0.16666666666666669 n) (/ 0.16666666666666669 (* (cbrt (pow n 2)) (cbrt (pow n 2)))) (/ 0.16666666666666669 (fabs n)) 0.16666666666666669 (/ 0.16666666666666669 n) 0.16666666666666669 0.16666666666666669 (/ (/ (cbrt 0.16666666666666669) n) n) (* (sqrt 0.16666666666666669) (/ 1 (pow n 2))) (/ 0.16666666666666669 (pow n 2)) 0.16666666666666669 (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 1 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) (/ 0.16666666666666669 (pow n 2)) 1.067 * * * [progress]: adding candidates to table 1.284 * [progress]: [Phase 3 of 3] Extracting. 1.286 * [simplify]: Simplifying using # : (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) 1.287 * * [simplify]: iteration 0 : 23 enodes (cost 11 ) 1.287 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 1.288 * [simplify]: Simplified to: (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) 3.324 * [regime-testing]: End program error score: 0.004875609451181397 3.362 * [regime-testing]: Target error score: 0