15.329 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.067 * [simplify]: Sending expressions to egg_math: (- (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) h1) 0.069 * * [simplify]: iteration 0 : 18 enodes (cost 8 ) 0.070 * * [simplify]: iteration 1 : 43 enodes (cost 8 ) 0.072 * * [simplify]: iteration 2 : 123 enodes (cost 8 ) 0.074 * * [simplify]: iteration 3 : 212 enodes (cost 8 ) 0.077 * * [simplify]: iteration 4 : 374 enodes (cost 8 ) 0.080 * * [simplify]: iteration 5 : 496 enodes (cost 8 ) 0.084 * * [simplify]: iteration 6 : 715 enodes (cost 8 ) 0.092 * * [simplify]: iteration 7 : 967 enodes (cost 8 ) 0.099 * * [simplify]: iteration 8 : 1121 enodes (cost 8 ) 0.108 * * [simplify]: iteration 9 : 1221 enodes (cost 8 ) 0.117 * * [simplify]: iteration 10 : 1497 enodes (cost 8 ) 0.128 * * [simplify]: iteration 11 : 1752 enodes (cost 8 ) 0.142 * * [simplify]: iteration 12 : 2132 enodes (cost 8 ) 0.158 * * [simplify]: iteration 13 : 2469 enodes (cost 8 ) 0.179 * * [simplify]: iteration 14 : 3314 enodes (cost 8 ) 0.221 * * [simplify]: iteration 15 : 5001 enodes (cost 8 ) 0.221 * [simplify]: Simplified to: (- (- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n))) 1.0) 0.222 * * [progress]: iteration 1 / 4 0.222 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.237 * * * [progress]: generating rewritten candidates 0.237 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.258 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.266 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.297 * * * [progress]: generating series expansions 0.297 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.298 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in (n) around 0 0.298 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.298 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.298 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.298 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of (log n) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) (* n (log n))) in n 0.299 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (+ n 1.0))) (* (log (+ n 1.0)) n)) in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ n 1.0))) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.299 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) n) in n 0.300 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.300 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (log n) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.341 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.341 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.342 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.343 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (- (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) (/ (log (/ 1 n)) n)) in n 0.344 * [taylor]: Taking taylor expansion of (+ (/ (log (+ (/ 1 n) 1.0)) n) (* 1.0 (log (+ (/ 1 n) 1.0)))) in n 0.344 * [taylor]: Taking taylor expansion of (/ (log (+ (/ 1 n) 1.0)) n) in n 0.344 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log (+ (/ 1 n) 1.0))) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.346 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.346 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.346 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.395 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.395 * [taylor]: Taking taylor expansion of 1.0 in n 0.395 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.395 * [taylor]: Taking taylor expansion of 1.0 in n 0.395 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.396 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.396 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.396 * [taylor]: Taking taylor expansion of -1 in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.398 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.398 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.398 * [taylor]: Taking taylor expansion of 1.0 in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.400 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) (/ (log (- 1.0 (/ 1 n))) n)) in n 0.400 * [taylor]: Taking taylor expansion of (+ (* 1.0 (log (- 1.0 (/ 1 n)))) (/ (log (/ -1 n)) n)) in n 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (log (- 1.0 (/ 1 n)))) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.401 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.401 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.401 * [taylor]: Taking taylor expansion of -1 in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.402 * [taylor]: Taking taylor expansion of (/ (log (- 1.0 (/ 1 n))) n) in n 0.403 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.461 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.461 * [approximate]: Taking taylor expansion of (* n (log n)) in (n) around 0 0.461 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of (log n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of (* n (log n)) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of (log n) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.527 * [approximate]: Taking taylor expansion of (/ (log (/ 1 n)) n) in (n) around 0 0.527 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.527 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) n) in n 0.528 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 0.528 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.570 * [approximate]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in (n) around 0 0.570 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.570 * [taylor]: Taking taylor expansion of -1 in n 0.570 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.570 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.570 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.570 * [taylor]: Taking taylor expansion of -1 in n 0.570 * [taylor]: Taking taylor expansion of n in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ (log (/ -1 n)) n)) in n 0.572 * [taylor]: Taking taylor expansion of -1 in n 0.572 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) n) in n 0.572 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 0.572 * [taylor]: Taking taylor expansion of (/ -1 n) in n 0.572 * [taylor]: Taking taylor expansion of -1 in n 0.572 * [taylor]: Taking taylor expansion of n in n 0.572 * [taylor]: Taking taylor expansion of n in n 0.626 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.626 * [approximate]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in (n) around 0 0.626 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.626 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.626 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (* (log (+ n 1.0)) (+ n 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (log (+ n 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (+ n 1.0) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [approximate]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in (n) around 0 0.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.647 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.647 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (* (+ (/ 1 n) 1.0) (log (+ (/ 1 n) 1.0))) in n 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (log (+ (/ 1 n) 1.0)) in n 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 n) 1.0) in n 0.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [approximate]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in (n) around 0 0.662 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.662 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (* (log (- 1.0 (/ 1 n))) (- 1.0 (/ 1 n))) in n 0.663 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 n))) in n 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 n)) in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.689 * * * [progress]: simplifying candidates 0.691 * [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))))) 0.691 * [simplify]: Sending expressions to egg_math: (/ (exp (* (+ h0 h1) (log (+ h0 h1)))) (exp (* h0 (log h0)))) (log (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (exp (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (* (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))))) (cbrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (* (* (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (sqrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (sqrt (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0)))) (- (pow (* (+ h0 h1) (log (+ h0 h1))) 3) (pow (* h0 (log h0)) 3)) (+ (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (+ (* (* h0 (log h0)) (* h0 (log h0))) (* (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))))) (- (* h0 (log h0))) (- (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (* (* h0 (log h0)) (* h0 (log h0)))) (+ (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log (* (cbrt h0) (cbrt h0))))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log (sqrt h0)))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log 1))) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log (* (cbrt h0) (cbrt h0))) h0)) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log (sqrt h0)) h0)) (- (* (+ h0 h1) (log (+ h0 h1))) (* (log 1) h0)) (- (* (+ h0 h1) (log (cbrt (+ h0 h1)))) (* h0 (log h0))) (- (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (+ h0 h1) (log (+ h0 h1))) (* h0 (log h0))) (- (* (log (cbrt (+ h0 h1))) (+ h0 h1)) (* h0 (log h0))) (- (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* h0 (log h0))) (- (* (log (+ h0 h1)) (+ h0 h1)) (* h0 (log h0))) (- (* (log (+ h0 h1)) (+ h0 h1)) (* h0 (log h0))) (- (* h0 (log h0))) (* h0 (log h0)) (+ (log h0) (log (log h0))) (log (* h0 (log h0))) (exp (* h0 (log h0))) (* (* (* h0 h0) h0) (* (* (log h0) (log h0)) (log h0))) (* (cbrt (* h0 (log h0))) (cbrt (* h0 (log h0)))) (cbrt (* h0 (log h0))) (* (* (* h0 (log h0)) (* h0 (log h0))) (* h0 (log h0))) (sqrt (* h0 (log h0))) (sqrt (* h0 (log h0))) (* (sqrt h0) (sqrt (log h0))) (* (sqrt h0) (sqrt (log h0))) (* h0 (log (* (cbrt h0) (cbrt h0)))) (* h0 (log (cbrt h0))) (* h0 (log (sqrt h0))) (* h0 (log (sqrt h0))) (* h0 (log 1)) (* h0 (log h0)) (* (log (* (cbrt h0) (cbrt h0))) h0) (* (log (cbrt h0)) h0) (* (log (sqrt h0)) h0) (* (log (sqrt h0)) h0) (* (log 1) h0) (* (log h0) h0) (* h0 1) (* h0 (* (cbrt (log h0)) (cbrt (log h0)))) (* h0 (sqrt (log h0))) (* h0 1) (* (cbrt h0) (log h0)) (* (sqrt h0) (log h0)) (* h0 (log h0)) (* (+ h0 h1) (log (+ h0 h1))) (+ (log (+ h0 h1)) (log (log (+ h0 h1)))) (log (* (+ h0 h1) (log (+ h0 h1)))) (exp (* (+ h0 h1) (log (+ h0 h1)))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1)))) (* (cbrt (* (+ h0 h1) (log (+ h0 h1)))) (cbrt (* (+ h0 h1) (log (+ h0 h1))))) (cbrt (* (+ h0 h1) (log (+ h0 h1)))) (* (* (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1)))) (* (+ h0 h1) (log (+ h0 h1)))) (sqrt (* (+ h0 h1) (log (+ h0 h1)))) (sqrt (* (+ h0 h1) (log (+ h0 h1)))) (* (sqrt (+ h0 h1)) (sqrt (log (+ h0 h1)))) (* (sqrt (+ h0 h1)) (sqrt (log (+ h0 h1)))) (* (+ h0 h1) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* (+ h0 h1) (log (cbrt (+ h0 h1)))) (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* (+ h0 h1) (log (sqrt (+ h0 h1)))) (* (+ h0 h1) (log 1)) (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log 1)) (* (+ h0 h1) (log (+ h0 h1))) (* (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (+ h0 h1)) (* (log (cbrt (+ h0 h1))) (+ h0 h1)) (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* (log (sqrt (+ h0 h1))) (+ h0 h1)) (* (log 1) (+ h0 h1)) (* (log (+ h0 h1)) (+ h0 h1)) (* (log 1) (+ h0 h1)) (* (log (+ h0 h1)) (+ h0 h1)) (* (+ h0 h1) 1) (* (+ h0 h1) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1))))) (* (+ h0 h1) (sqrt (log (+ h0 h1)))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (log (+ h0 h1))) (* (sqrt (+ h0 h1)) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1))) (* (+ h0 h1) (log (+ h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (log (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (log (+ h0 h1))) (- (+ (* h1 h0) (+ (* h1 (log h1)) (+ (* h1 (pow h0 2)) (* (log h1) h0)))) (+ (* h2 (/ (pow h0 2) (pow h1 2))) (* h0 (log h0)))) (- (+ (* h2 (/ 1 h0)) h1) (+ (* h1 (log (/ 1 h0))) (* h3 (/ 1 (pow h0 2))))) (- (+ (* h1 (log -1)) (+ (* h2 (/ 1 h0)) h1)) (+ (* h3 (/ 1 (pow h0 2))) (* h1 (log (/ -1 h0))))) (* h0 (log h0)) (* -1 (* (log (/ 1 h0)) h0)) (* (- (log -1) (log (/ -1 h0))) h0) (- (+ (* h1 h0) (+ (* h1 (log h1)) (+ (* h1 (pow h0 2)) (* (log h1) h0)))) (* h2 (/ (pow h0 2) (pow h1 2)))) (- (+ (* h2 (/ 1 h0)) h1) (+ (* h1 (log (/ 1 h0))) (* (log (/ 1 h0)) h0))) (- (+ (* h1 (log -1)) (+ (* h2 (/ 1 h0)) (+ (* (log -1) h0) h1))) (+ (* h0 (log (/ -1 h0))) (* h1 (log (/ -1 h0))))) 0.696 * * [simplify]: iteration 0 : 419 enodes (cost 643 ) 0.704 * * [simplify]: iteration 1 : 1786 enodes (cost 587 ) 0.740 * * [simplify]: iteration 2 : 5001 enodes (cost 568 ) 0.743 * [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)))) 0.744 * * * [progress]: adding candidates to table 0.939 * * [progress]: iteration 2 / 4 0.939 * * * [progress]: picking best candidate 0.942 * * * * [pick]: Picked # 0.942 * * * [progress]: localizing error 0.956 * * * [progress]: generating rewritten candidates 0.956 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2 2 2) 0.964 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2 2) 1.009 * * * [progress]: generating series expansions 1.009 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2 2 2) 1.010 * [approximate]: Taking taylor expansion of (/ 1 (pow n 2)) in (n) around 0 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.010 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.010 * [taylor]: Taking taylor expansion of n in n 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.011 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.011 * [taylor]: Taking taylor expansion of n in n 1.021 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 1.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.021 * [taylor]: Taking taylor expansion of n in n 1.021 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.021 * [taylor]: Taking taylor expansion of n in n 1.027 * [approximate]: Taking taylor expansion of (pow n 2) in (n) around 0 1.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.027 * [taylor]: Taking taylor expansion of n in n 1.027 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.027 * [taylor]: Taking taylor expansion of n in n 1.033 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2 2) 1.033 * [approximate]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in (n) around 0 1.033 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.033 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.033 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.033 * [taylor]: Taking taylor expansion of (/ 0.16666666666666669 (pow n 2)) in n 1.033 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.033 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.040 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.040 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.040 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.040 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.040 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.040 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.048 * [approximate]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in (n) around 0 1.048 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.048 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.048 * [taylor]: Taking taylor expansion of n in n 1.048 * [taylor]: Taking taylor expansion of (* 0.16666666666666669 (pow n 2)) in n 1.048 * [taylor]: Taking taylor expansion of 0.16666666666666669 in n 1.048 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.048 * [taylor]: Taking taylor expansion of n in n 1.056 * * * [progress]: simplifying candidates 1.057 * [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)) 1.058 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* h1 (/ 1 (pow h0 2))) (+ (log h1) (- (* (log h0) 2))) (+ (log h1) (- (* (log h0) 2))) (+ (log h1) (- (log (pow h0 2)))) (+ (log h1) (- 0 (* (log h0) 2))) (+ (log h1) (- 0 (* (log h0) 2))) (+ (log h1) (- 0 (log (pow h0 2)))) (+ (log h1) (- (log 1) (* (log h0) 2))) (+ (log h1) (- (log 1) (* (log h0) 2))) (+ (log h1) (- (log 1) (log (pow h0 2)))) (+ (log h1) (log (/ 1 (pow h0 2)))) (log (* h1 (/ 1 (pow h0 2)))) (exp (* h1 (/ 1 (pow h0 2)))) (* (* (* h1 h1) h1) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2)))) (* (* (* h1 h1) h1) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2)))) (* (cbrt (* h1 (/ 1 (pow h0 2)))) (cbrt (* h1 (/ 1 (pow h0 2))))) (cbrt (* h1 (/ 1 (pow h0 2)))) (* (* (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2)))) (* h1 (/ 1 (pow h0 2)))) (sqrt (* h1 (/ 1 (pow h0 2)))) (sqrt (* h1 (/ 1 (pow h0 2)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 2)))) (* (sqrt h1) (sqrt (/ 1 (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 2))) (* (sqrt h1) (/ (sqrt 1) (pow (sqrt h0) 2))) (* (sqrt h1) (/ (sqrt 1) h0)) (* (sqrt h1) (/ (sqrt 1) h0)) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (sqrt (pow h0 2)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 2 2)))) (* (sqrt h1) (/ (sqrt 1) (pow h0 (/ 2 2)))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 2))) (* (sqrt h1) (/ 1 (pow (sqrt h0) 2))) (* (sqrt h1) (/ 1 h0)) (* (sqrt h1) (/ 1 h0)) (* (sqrt h1) (/ 1 (sqrt (pow h0 2)))) (* (sqrt h1) (/ 1 (sqrt (pow h0 2)))) (* (sqrt h1) (/ 1 (pow h0 (/ 2 2)))) (* (sqrt h1) (/ 1 (pow h0 (/ 2 2)))) (* h1 (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2))))) (* h1 (sqrt (/ 1 (pow h0 2)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow 1 2))) (* h1 (/ (* (cbrt 1) (cbrt 1)) h0)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h1 (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2)))) (* h1 (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ (sqrt 1) (pow (sqrt h0) 2))) (* h1 (/ (sqrt 1) (pow 1 2))) (* h1 (/ (sqrt 1) h0)) (* h1 (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ (sqrt 1) (sqrt (pow h0 2)))) (* h1 (/ (sqrt 1) 1)) (* h1 (/ (sqrt 1) (pow h0 (/ 2 2)))) (* h1 (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2))) (* h1 (/ 1 (pow (sqrt h0) 2))) (* h1 (/ 1 (pow 1 2))) (* h1 (/ 1 h0)) (* h1 (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2))))) (* h1 (/ 1 (sqrt (pow h0 2)))) (* h1 (/ 1 1)) (* h1 (/ 1 (pow h0 (/ 2 2)))) (* h1 1) (* h1 1) (* (cbrt h1) (/ 1 (pow h0 2))) (* (sqrt h1) (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 2))) (* h1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) (/ h1 (pow h0 2)) 1.063 * * [simplify]: iteration 0 : 328 enodes (cost 574 ) 1.069 * * [simplify]: iteration 1 : 1460 enodes (cost 451 ) 1.092 * * [simplify]: iteration 2 : 5002 enodes (cost 367 ) 1.095 * [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)) 1.095 * * * [progress]: adding candidates to table 1.322 * [progress]: [Phase 3 of 3] Extracting. 1.325 * [simplify]: Simplifying using # : (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) 1.325 * [simplify]: Sending expressions to egg_math: (- (+ (- h0 (+ (* h0 (log (/ 1 h1))) (* h2 (/ 1 (pow h1 2))))) (/ h3 h1)) h0) 1.326 * * [simplify]: iteration 0 : 23 enodes (cost 11 ) 1.326 * * [simplify]: iteration 1 : 23 enodes (cost 11 ) 1.326 * [simplify]: Simplified to: (- (+ (- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0) 3.296 * [regime-testing]: End program error score: 0.0030003750468808603 3.334 * [regime-testing]: Target error score: 0