11.323 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.031 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.057 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.057 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * * * [progress]: simplifying candidates 0.059 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.062 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.063 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.066 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.070 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.083 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.131 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.132 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- 0 (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- 0 (atan N)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.132 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.213 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.213 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.213 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.215 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.215 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.224 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.224 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.224 * [taylor]: Taking taylor expansion of 1.0 in N 0.224 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.225 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [taylor]: Taking taylor expansion of 1.0 in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.235 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.236 * [taylor]: Taking taylor expansion of -1 in N 0.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.253 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.257 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.260 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.269 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.306 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.307 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 0.307 * * * [progress]: adding candidates to table 0.361 * * [progress]: iteration 3 / 4 0.362 * * * [progress]: picking best candidate 0.371 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.380 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.380 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.396 * * * [progress]: generating series expansions 0.396 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.396 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.396 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.397 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.397 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.397 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.398 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.398 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.399 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.399 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.399 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.399 * [taylor]: Taking taylor expansion of 1/3 in N 0.399 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.399 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.399 * [taylor]: Taking taylor expansion of N in N 0.399 * [taylor]: Taking taylor expansion of 1.0 in N 0.402 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of 1/3 in N 0.402 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.434 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.434 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.434 * [taylor]: Taking taylor expansion of 1/3 in N 0.434 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.434 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.434 * [taylor]: Taking taylor expansion of N in N 0.434 * [taylor]: Taking taylor expansion of 1.0 in N 0.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.435 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.435 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.435 * [taylor]: Taking taylor expansion of 1/3 in N 0.435 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of 1.0 in N 0.453 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.453 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.453 * [taylor]: Taking taylor expansion of 1/3 in N 0.453 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.453 * [taylor]: Taking taylor expansion of 1.0 in N 0.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.455 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.455 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.455 * [taylor]: Taking taylor expansion of 1/3 in N 0.455 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.483 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.483 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.483 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.484 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.484 * [taylor]: Taking taylor expansion of 1/3 in N 0.484 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.484 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of 1.0 in N 0.485 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.485 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.485 * [taylor]: Taking taylor expansion of 1/3 in N 0.486 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.486 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.486 * [taylor]: Taking taylor expansion of N in N 0.486 * [taylor]: Taking taylor expansion of 1.0 in N 0.517 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.517 * [taylor]: Taking taylor expansion of 1/3 in N 0.517 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.518 * [taylor]: Taking taylor expansion of 1.0 in N 0.518 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.519 * [taylor]: Taking taylor expansion of 1/3 in N 0.519 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.536 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.536 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.536 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.536 * [taylor]: Taking taylor expansion of 1/3 in N 0.536 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.536 * [taylor]: Taking taylor expansion of 1.0 in N 0.536 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.536 * [taylor]: Taking taylor expansion of N in N 0.538 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.538 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.538 * [taylor]: Taking taylor expansion of 1/3 in N 0.538 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.538 * [taylor]: Taking taylor expansion of 1.0 in N 0.538 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.538 * [taylor]: Taking taylor expansion of N in N 0.567 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.567 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.567 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.567 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.567 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.567 * [taylor]: Taking taylor expansion of 1/3 in N 0.567 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.567 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.569 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.569 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.569 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.569 * [taylor]: Taking taylor expansion of 1/3 in N 0.569 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.569 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.569 * [taylor]: Taking taylor expansion of N in N 0.569 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.600 * [taylor]: Taking taylor expansion of 1/3 in N 0.600 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.602 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.602 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.602 * [taylor]: Taking taylor expansion of 1/3 in N 0.602 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.602 * [taylor]: Taking taylor expansion of N in N 0.602 * [taylor]: Taking taylor expansion of 1.0 in N 0.619 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.620 * [taylor]: Taking taylor expansion of 1/3 in N 0.620 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.620 * [taylor]: Taking taylor expansion of 1.0 in N 0.620 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.622 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.622 * [taylor]: Taking taylor expansion of 1/3 in N 0.622 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.622 * [taylor]: Taking taylor expansion of 1.0 in N 0.622 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.622 * [taylor]: Taking taylor expansion of N in N 0.650 * * * [progress]: simplifying candidates 0.651 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.655 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 0.659 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 0.668 * * [simplify]: iteration 2 : 1617 enodes (cost 445 ) 0.703 * * [simplify]: iteration 3 : 5002 enodes (cost 430 ) 0.705 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) 0.706 * * * [progress]: adding candidates to table 0.910 * * [progress]: iteration 4 / 4 0.910 * * * [progress]: picking best candidate 0.928 * * * * [pick]: Picked # 0.928 * * * [progress]: localizing error 0.945 * * * [progress]: generating rewritten candidates 0.946 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1) 0.955 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.956 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 0.965 * * * [progress]: generating series expansions 0.965 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1) 0.966 * [approximate]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in (N) around 0 0.966 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.966 * [taylor]: Taking taylor expansion of 1/3 in N 0.966 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.966 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.966 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.966 * [taylor]: Taking taylor expansion of N in N 0.966 * [taylor]: Taking taylor expansion of 1.0 in N 0.969 * [taylor]: Taking taylor expansion of (pow (- (pow N 2) 1.0) 1/3) in N 0.969 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (pow N 2) 1.0)))) in N 0.969 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (pow N 2) 1.0))) in N 0.969 * [taylor]: Taking taylor expansion of 1/3 in N 0.969 * [taylor]: Taking taylor expansion of (log (- (pow N 2) 1.0)) in N 0.970 * [taylor]: Taking taylor expansion of (- (pow N 2) 1.0) in N 0.970 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.970 * [taylor]: Taking taylor expansion of N in N 0.970 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.045 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.045 * [taylor]: Taking taylor expansion of 1/3 in N 1.045 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.045 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.045 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.045 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.046 * [taylor]: Taking taylor expansion of 1.0 in N 1.047 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.047 * [taylor]: Taking taylor expansion of 1/3 in N 1.047 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.047 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.047 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.047 * [taylor]: Taking taylor expansion of N in N 1.048 * [taylor]: Taking taylor expansion of 1.0 in N 1.103 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in (N) around 0 1.103 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.104 * [taylor]: Taking taylor expansion of 1/3 in N 1.104 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.104 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.104 * [taylor]: Taking taylor expansion of N in N 1.104 * [taylor]: Taking taylor expansion of 1.0 in N 1.105 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow N 2)) 1.0) 1/3) in N 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 (pow N 2)) 1.0)))) in N 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 (pow N 2)) 1.0))) in N 1.105 * [taylor]: Taking taylor expansion of 1/3 in N 1.105 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow N 2)) 1.0)) in N 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) 1.0) in N 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.105 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.105 * [taylor]: Taking taylor expansion of N in N 1.105 * [taylor]: Taking taylor expansion of 1.0 in N 1.158 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.159 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in (N) around 0 1.159 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.159 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) in N 1.161 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in (N) around 0 1.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* (pow (/ (* (- (/ 1 (pow N 2)) 1.0) (pow (+ (/ 1 N) 1.0) 2)) (- (/ 1 N) 1.0)) 1/3) (/ 1 N)) 1)) in N 1.164 * [approximate]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in (N) around 0 1.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (- 1 (* (/ 1 (* (cbrt -1) N)) (pow (/ (* (pow (- 1.0 (/ 1 N)) 2) (- (/ 1 (pow N 2)) 1.0)) (+ (/ 1 N) 1.0)) 1/3)))) in N 1.167 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.167 * [approximate]: Taking taylor expansion of (pow (- N 1.0) 1/3) in (N) around 0 1.167 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N 1.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N 1.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N 1.167 * [taylor]: Taking taylor expansion of 1/3 in N 1.167 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N 1.167 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.170 * [taylor]: Taking taylor expansion of (pow (- N 1.0) 1/3) in N 1.170 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- N 1.0)))) in N 1.170 * [taylor]: Taking taylor expansion of (* 1/3 (log (- N 1.0))) in N 1.170 * [taylor]: Taking taylor expansion of 1/3 in N 1.170 * [taylor]: Taking taylor expansion of (log (- N 1.0)) in N 1.170 * [taylor]: Taking taylor expansion of (- N 1.0) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.170 * [taylor]: Taking taylor expansion of 1.0 in N 1.214 * [approximate]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in (N) around 0 1.214 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N 1.214 * [taylor]: Taking taylor expansion of 1/3 in N 1.214 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N 1.214 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.214 * [taylor]: Taking taylor expansion of 1.0 in N 1.215 * [taylor]: Taking taylor expansion of (pow (- (/ 1 N) 1.0) 1/3) in N 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 N) 1.0)))) in N 1.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 N) 1.0))) in N 1.215 * [taylor]: Taking taylor expansion of 1/3 in N 1.215 * [taylor]: Taking taylor expansion of (log (- (/ 1 N) 1.0)) in N 1.215 * [taylor]: Taking taylor expansion of (- (/ 1 N) 1.0) in N 1.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.215 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1.0 in N 1.235 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 1.235 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N 1.235 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.235 * [taylor]: Taking taylor expansion of -1 in N 1.236 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.236 * [taylor]: Taking taylor expansion of 1/3 in N 1.236 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.236 * [taylor]: Taking taylor expansion of N in N 1.237 * [taylor]: Taking taylor expansion of 1.0 in N 1.237 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (+ (/ 1 N) 1.0) 1/3)) in N 1.237 * [taylor]: Taking taylor expansion of (cbrt -1) in N 1.238 * [taylor]: Taking taylor expansion of -1 in N 1.238 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.238 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.238 * [taylor]: Taking taylor expansion of 1/3 in N 1.238 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of 1.0 in N 1.260 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.261 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 1.261 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.261 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.261 * [taylor]: Taking taylor expansion of 1/3 in N 1.261 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.261 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.263 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 1.263 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 1.263 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 1.263 * [taylor]: Taking taylor expansion of 1/3 in N 1.263 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.263 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.263 * [taylor]: Taking taylor expansion of N in N 1.263 * [taylor]: Taking taylor expansion of 1.0 in N 1.300 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 1.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.300 * [taylor]: Taking taylor expansion of 1/3 in N 1.300 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.300 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.300 * [taylor]: Taking taylor expansion of N in N 1.300 * [taylor]: Taking taylor expansion of 1.0 in N 1.301 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 1.301 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 1.301 * [taylor]: Taking taylor expansion of 1/3 in N 1.301 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.301 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of 1.0 in N 1.319 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.319 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.319 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.319 * [taylor]: Taking taylor expansion of 1/3 in N 1.319 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.319 * [taylor]: Taking taylor expansion of 1.0 in N 1.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.322 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 1.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 1.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 1.322 * [taylor]: Taking taylor expansion of 1/3 in N 1.322 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.322 * [taylor]: Taking taylor expansion of 1.0 in N 1.322 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.322 * [taylor]: Taking taylor expansion of N in N 1.359 * * * [progress]: simplifying candidates 1.361 * [simplify]: Simplifying using # : (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (* (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (- N 1.0))) (exp (cbrt (- N 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0))) (cbrt (- (sqrt N) (sqrt 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (* (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (- (+ (* 0.05555555555555555 (* (pow N 4) (pow -1.0 1/3))) (pow (- 1.0) 1/3)) (+ (* 1/6 (* (pow N 4) (pow (/ 1 (pow -1.0 5)) 1/3))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3))))) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) (- (+ (pow (- 1.0) 1/3) (* 0.05555555555555555 (* (pow N 2) (pow -1.0 1/3)))) (+ (* 0.3333333333333333 (* N (pow -1.0 1/3))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow -1.0 5)) 1/3))))) (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)))) (- (* (pow (* -1 N) 1/3) (cbrt -1)) (+ (* 0.1111111111111111 (* (pow (/ -1 (pow N 5)) 1/3) (cbrt -1))) (* 0.3333333333333333 (* (pow (/ -1 (pow N 2)) 1/3) (cbrt -1))))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.371 * * [simplify]: iteration 0 : 481 enodes (cost 606 ) 1.383 * * [simplify]: iteration 1 : 1462 enodes (cost 551 ) 1.414 * * [simplify]: iteration 2 : 5001 enodes (cost 537 ) 1.417 * [simplify]: Simplified to: (log (cbrt (- (* N N) (* 1.0 1.0)))) (exp (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt (sqrt (- (* N N) (* 1.0 1.0)))) (cbrt 1) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (cbrt (- N 1.0)) (cbrt (- (pow (* N N) 3) (pow (* 1.0 1.0) 3))) (cbrt (+ (* (* N N) (* N N)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* N N) (* 1.0 1.0))))) (cbrt (- (* (* N N) (* N N)) (* (* 1.0 1.0) (* 1.0 1.0)))) (cbrt (+ (* N N) (* 1.0 1.0))) (* (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- (* N N) (* 1.0 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (- (* N N) (* 1.0 1.0)) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (sqrt (cbrt (- (* N N) (* 1.0 1.0)))) (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (/ (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)))) (* (cbrt (+ N 1.0)) N))))) (log (cbrt (- N 1.0))) (exp (cbrt (- N 1.0))) (cbrt (* (cbrt (- N 1.0)) (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt (sqrt (- N 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (+ (sqrt N) (sqrt 1.0))) (cbrt (- (sqrt N) (sqrt 1.0))) (cbrt 1) (cbrt (- N 1.0)) (cbrt (- (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (+ (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0)) (* (cbrt (cbrt (- N 1.0))) (cbrt (cbrt (- N 1.0)))) (cbrt (cbrt (- N 1.0))) (- N 1.0) (sqrt (cbrt (- N 1.0))) (sqrt (cbrt (- N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (+ (- (* (pow N 4) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6))) (* 0.3333333333333333 (* (pow N 2) (pow -1.0 1/3)))) (pow (- 1.0) 1/3)) (- (pow (/ 1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (- (pow (/ -1 N) -2/3) (+ (* 0.3333333333333333 (pow (/ 1 (pow N 4)) 1/3)) (* 0.1111111111111111 (pow (/ 1 (pow N 10)) 1/3)))) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- N 1.0)) 1/3) N) 1)) (atan2 1.0 (+ (* (pow (/ (* (- (pow N 2) 1.0) (pow (+ N 1.0) 2)) (- 1.0 N)) 1/3) (/ N (cbrt -1))) 1)) (- (+ (pow (- 1.0) 1/3) (* (pow N 2) (- (* (pow -1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow -1.0 5)) 1/3) 1/6)))) (* 0.3333333333333333 (* N (pow -1.0 1/3)))) (- (pow (/ 1 N) -1/3) (+ (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3)) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3)))) (* (cbrt -1) (- (- (pow (* -1 N) 1/3) (* 0.1111111111111111 (pow (/ -1 (pow N 5)) 1/3))) (* 0.3333333333333333 (pow (/ -1 (pow N 2)) 1/3)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.418 * * * [progress]: adding candidates to table 1.684 * [progress]: [Phase 3 of 3] Extracting. 1.684 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 1.687 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.687 * * * * [regimes]: Trying to branch on N from (# # # # # # # # #) 1.720 * * * [regime]: Found split indices: #