39.798 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.044 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.045 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 8 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.055 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.059 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (exp x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.066 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (exp x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (exp x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (exp x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (exp x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.084 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.084 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.092 * [taylor]: Taking taylor expansion of -1 in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.093 * [taylor]: Taking taylor expansion of -1 in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.094 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.094 * [taylor]: Taking taylor expansion of -1 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.094 * [taylor]: Taking taylor expansion of -1 in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying using # : (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (- 1.0) (- (exp x)) (- (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (/ (- (exp x) 1.0) (exp x)) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.104 * * [simplify]: iteration 0 : 83 enodes (cost 66 ) 0.106 * * [simplify]: iteration 1 : 182 enodes (cost 66 ) 0.110 * * [simplify]: iteration 2 : 483 enodes (cost 64 ) 0.119 * * [simplify]: iteration 3 : 1606 enodes (cost 63 ) 0.163 * * [simplify]: iteration 4 : 5002 enodes (cost 63 ) 0.164 * [simplify]: Simplified to: (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (- 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (- 1.0) (- (exp x)) (- 1.0 (exp x)) (/ 1 (- (exp x) 1.0)) (- 1 (/ 1.0 (exp x))) (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.164 * * * [progress]: adding candidates to table 0.194 * * [progress]: iteration 2 / 4 0.194 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.209 * * * [progress]: generating rewritten candidates 0.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.225 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.233 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.233 * [taylor]: Taking taylor expansion of 1/6 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.233 * [taylor]: Taking taylor expansion of 1/6 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.239 * [taylor]: Taking taylor expansion of 1/6 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.239 * [taylor]: Taking taylor expansion of 1/6 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.246 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.246 * [taylor]: Taking taylor expansion of -1/6 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.246 * [taylor]: Taking taylor expansion of -1/6 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.250 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.250 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.250 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.250 * [taylor]: Taking taylor expansion of 1/6 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 1/2 in x 0.250 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.250 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.250 * [taylor]: Taking taylor expansion of 1/6 in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 1/2 in x 0.267 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of 1/2 in x 0.267 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of 1/6 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of 1/2 in x 0.269 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of 1/6 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of 1/6 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of 1/6 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.313 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.313 * [approximate]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in (x) around 0 0.313 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.313 * [taylor]: Taking taylor expansion of (exp x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of 1/2 in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.313 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.313 * [taylor]: Taking taylor expansion of 1/6 in x 0.313 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.315 * [taylor]: Taking taylor expansion of (exp x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.315 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.315 * [taylor]: Taking taylor expansion of 1/6 in x 0.315 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.322 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.326 * [taylor]: Taking taylor expansion of 1/6 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.327 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.328 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.329 * [taylor]: Taking taylor expansion of 1/6 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.339 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.339 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.340 * [taylor]: Taking taylor expansion of 1/2 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.340 * [taylor]: Taking taylor expansion of 1/6 in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.342 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.344 * [taylor]: Taking taylor expansion of 1/6 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.354 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.354 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.355 * [taylor]: Taking taylor expansion of 1/6 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of 1/2 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.355 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.355 * [taylor]: Taking taylor expansion of 1/6 in x 0.355 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.360 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.360 * [taylor]: Taking taylor expansion of 1/2 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.361 * [taylor]: Taking taylor expansion of 1/6 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.361 * [taylor]: Taking taylor expansion of 1/2 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.362 * [taylor]: Taking taylor expansion of 1/6 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.370 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.370 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1/2 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.371 * [taylor]: Taking taylor expansion of 1/6 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1/2 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.373 * [taylor]: Taking taylor expansion of 1/6 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.381 * * * [progress]: simplifying candidates 0.382 * [simplify]: Simplifying using # : (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 2) (* x 1/6)) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* (* x 1/6) (pow x 2)) (* x (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (- (exp x)) (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) (/ (exp x) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ (exp x) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x))) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* (pow x 2) (* x 1/6)) x) (+ (* 1/2 (pow x 2)) x) (+ (* (* x 1/6) (pow x 2)) x) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 0.386 * * [simplify]: iteration 0 : 190 enodes (cost 189 ) 0.391 * * [simplify]: iteration 1 : 703 enodes (cost 184 ) 0.409 * * [simplify]: iteration 2 : 3378 enodes (cost 181 ) 0.529 * * [simplify]: iteration 3 : 5001 enodes (cost 181 ) 0.530 * [simplify]: Simplified to: (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (+ (* x 1/6) 1/2) x) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (- (exp x)) (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) (/ (exp x) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ (exp x) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x))) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (pow x 2) (- (* (+ (* x 1/6) 1/2) (- (pow x 3) (* (+ (* x 1/6) 1/2) (pow x 4)))))) (- (* (pow x 4) (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2))) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ x (* (pow x 3) 1/6)) (+ (* 1/2 (pow x 2)) x) (+ x (* (pow x 3) 1/6)) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 0.531 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 3 / 4 0.595 * * * [progress]: picking best candidate 0.601 * * * * [pick]: Picked # 0.601 * * * [progress]: localizing error 0.612 * * * [progress]: generating rewritten candidates 0.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 0.614 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.620 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.637 * * * [progress]: generating series expansions 0.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 0.637 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.637 * [taylor]: Taking taylor expansion of 1/6 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.637 * [taylor]: Taking taylor expansion of 1/6 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.642 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.643 * [taylor]: Taking taylor expansion of 1/6 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.643 * [taylor]: Taking taylor expansion of 1/6 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.646 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.647 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.647 * [taylor]: Taking taylor expansion of -1/6 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.647 * [taylor]: Taking taylor expansion of -1/6 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.650 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.651 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.651 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.651 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.651 * [taylor]: Taking taylor expansion of 1/6 in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1/2 in x 0.651 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.651 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.651 * [taylor]: Taking taylor expansion of 1/6 in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of 1/2 in x 0.668 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of 1/2 in x 0.668 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of 1/6 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.669 * [taylor]: Taking taylor expansion of 1/2 in x 0.669 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of 1/6 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.693 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.693 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.693 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1/2 in x 0.693 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of 1/6 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.694 * [taylor]: Taking taylor expansion of 1/2 in x 0.694 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of 1/6 in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.716 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.716 * [approximate]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.716 * [taylor]: Taking taylor expansion of (exp x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.716 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.716 * [taylor]: Taking taylor expansion of 1/2 in x 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.716 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.716 * [taylor]: Taking taylor expansion of 1/6 in x 0.716 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.718 * [taylor]: Taking taylor expansion of (exp x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.718 * [taylor]: Taking taylor expansion of 1/2 in x 0.718 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.718 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.718 * [taylor]: Taking taylor expansion of 1/6 in x 0.718 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.725 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.725 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.725 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.725 * [taylor]: Taking taylor expansion of 1/2 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.726 * [taylor]: Taking taylor expansion of 1/6 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.728 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.728 * [taylor]: Taking taylor expansion of 1/2 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.729 * [taylor]: Taking taylor expansion of 1/6 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.739 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.739 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.739 * [taylor]: Taking taylor expansion of -1 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.740 * [taylor]: Taking taylor expansion of 1/2 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.741 * [taylor]: Taking taylor expansion of 1/6 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.741 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.743 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.743 * [taylor]: Taking taylor expansion of 1/2 in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.744 * [taylor]: Taking taylor expansion of 1/6 in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.744 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.754 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.755 * [approximate]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of 1/2 in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.755 * [taylor]: Taking taylor expansion of 1/6 in x 0.755 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of 1/2 in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.755 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.755 * [taylor]: Taking taylor expansion of 1/6 in x 0.755 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.759 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.759 * [taylor]: Taking taylor expansion of 1/2 in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.760 * [taylor]: Taking taylor expansion of 1/6 in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.764 * [taylor]: Taking taylor expansion of 1/2 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.765 * [taylor]: Taking taylor expansion of 1/6 in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.773 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in (x) around 0 0.773 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.773 * [taylor]: Taking taylor expansion of 1/2 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.773 * [taylor]: Taking taylor expansion of 1/6 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.774 * [taylor]: Taking taylor expansion of 1/2 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.775 * [taylor]: Taking taylor expansion of 1/6 in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.784 * * * [progress]: simplifying candidates 0.784 * [simplify]: Simplifying using # : (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 2) (* x 1/6)) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* 1/2 (pow x 2)) (* (* x 1/6) (pow x 2)) (* x (+ (* x 1/6) 1/2)) (* (pow x (/ 2 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (pow (* x 1/6) 3) (pow 1/2 3))) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) (* 1/2 1/2))) (- 1) (- (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))) (/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))) (/ (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) 1) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ 1 1) (/ 1 (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ 1 (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x))) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (- (* x x) (* (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* x x)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) 1/2) x) (+ (* (pow x 2) (* x 1/6)) x) (+ (* 1/2 (pow x 2)) x) (+ (* (* x 1/6) (pow x 2)) x) (* 1/6 x) (* 1/6 x) (* 1/6 x) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) (- (+ (* 6 (/ (exp x) (pow x 3))) (* 18 (/ (exp x) (pow x 5)))) (* 18 (/ (exp x) (pow x 4)))) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) (+ (* 1/2 (pow x 2)) (+ x (* 1/6 (pow x 3)))) 0.788 * * [simplify]: iteration 0 : 199 enodes (cost 209 ) 0.793 * * [simplify]: iteration 1 : 777 enodes (cost 204 ) 0.813 * * [simplify]: iteration 2 : 4035 enodes (cost 198 ) 0.955 * * [simplify]: iteration 3 : 5002 enodes (cost 198 ) 0.956 * [simplify]: Simplified to: (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (+ (* x 1/6) 1/2) x) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (pow x 2) (- (* (* x 1/6) (* x 1/6)) 1/4)) (- 1) (- (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))) (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (- (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 1 (/ 1 (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3))) (/ 1 (- (* (pow x 4) (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2))) (pow x 2))) (+ (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (pow x 3)) (+ (pow x 2) (- (* (+ (* x 1/6) 1/2) (- (pow x 3) (* (+ (* x 1/6) 1/2) (pow x 4)))))) (- (* (pow x 4) (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2))) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* 1/2 (pow x 2)) x) (+ x (* (pow x 3) 1/6)) (+ (* 1/2 (pow x 2)) x) (+ x (* (pow x 3) 1/6)) (* x 1/6) (* x 1/6) (* x 1/6) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) (+ (* 18 (- (/ (exp x) (pow x 5)) (/ (exp x) (pow x 4)))) (* 6 (/ (exp x) (pow x 3)))) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 0.957 * * * [progress]: adding candidates to table 1.034 * * [progress]: iteration 4 / 4 1.034 * * * [progress]: picking best candidate 1.038 * * * * [pick]: Picked # 1.038 * * * [progress]: localizing error 1.046 * * * [progress]: generating rewritten candidates 1.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.048 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.051 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.056 * * * [progress]: generating series expansions 1.056 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.056 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 1.056 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.056 * [taylor]: Taking taylor expansion of 1/12 in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.056 * [taylor]: Taking taylor expansion of 1/12 in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.061 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 1.062 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 1.062 * [taylor]: Taking taylor expansion of 1/12 in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 1.062 * [taylor]: Taking taylor expansion of 1/12 in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.065 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 1.066 * [taylor]: Taking taylor expansion of -1/12 in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 1.066 * [taylor]: Taking taylor expansion of -1/12 in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.069 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.070 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.070 * [taylor]: Taking taylor expansion of 1/12 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 1.070 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.070 * [taylor]: Taking taylor expansion of 1/12 in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.081 * [approximate]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in (x) around 0 1.081 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.081 * [taylor]: Taking taylor expansion of 1/12 in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.082 * [taylor]: Taking taylor expansion of 1/12 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.094 * [approximate]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in x 1.094 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of 1/12 in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (- (+ x (* 1/12 (/ 1 x)))) in x 1.094 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of 1/12 in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.109 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.110 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in (x) around 0 1.110 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 1.110 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.110 * [taylor]: Taking taylor expansion of 1/12 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of 1/2 in x 1.110 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 1.110 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 1.110 * [taylor]: Taking taylor expansion of 1/12 in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of 1/2 in x 1.114 * [approximate]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in (x) around 0 1.114 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of 1/12 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of 1/2 in x 1.114 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of 1/12 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 1/2 in x 1.118 * [approximate]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 1.118 * [taylor]: Taking taylor expansion of 1/2 in x 1.118 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of 1/12 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of 1/2 in x 1.119 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of 1/12 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.126 * * * [progress]: simplifying candidates 1.127 * [simplify]: Simplifying using # : (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (* 1/12 x) (* 1/12 x)) (- (* (/ 1 x) (/ 1 x)) (* (* 1/12 x) (/ 1 x)))) (- (* (* 1/12 x) (* 1/12 x)) (* (/ 1 x) (/ 1 x))) (- (* 1/12 x) (/ 1 x)) (+ (pow 1/2 3) (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* 1/2 1/2) (- (* (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x))) (* 1/2 (+ (* 1/12 x) (/ 1 x))))) (- (* 1/2 1/2) (* (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)))) (- 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (* 1/12 x)) (+ 1/2 (/ 1 x)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) 1.130 * * [simplify]: iteration 0 : 110 enodes (cost 77 ) 1.133 * * [simplify]: iteration 1 : 329 enodes (cost 76 ) 1.142 * * [simplify]: iteration 2 : 1598 enodes (cost 75 ) 1.185 * * [simplify]: iteration 3 : 5001 enodes (cost 73 ) 1.186 * [simplify]: Simplified to: (+ (pow (* 1/12 x) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 x) (/ 1 x)) (- (* 1/144 (* x x)) 1/12)) (* x (- (* x 1/144) (pow (/ 1 x) 3))) (- (* 1/12 x) (/ 1 x)) (+ 1/8 (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* (+ (* 1/12 x) (/ 1 x)) (- (+ (* 1/12 x) (/ 1 x)) 1/2)) 1/4) (- (- 1/4 (+ 1/6 (* 1/144 (* x x)))) (/ (/ 1 x) x)) (- 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (* 1/12 x)) (+ 1/2 (/ 1 x)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) (+ 1/2 (+ (* 1/12 x) (/ 1 x))) 1.186 * * * [progress]: adding candidates to table 1.205 * [progress]: [Phase 3 of 3] Extracting. 1.205 * * [regime]: Finding splitpoints for: (# # # #) 1.206 * * * [regime-changes]: Trying 2 branch expressions: ((exp x) x) 1.206 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 1.220 * * * * [regimes]: Trying to branch on (exp x) from (# #) 1.231 * * * * [regimes]: Trying to branch on x from (# # # #) 1.249 * * * [regime]: Found split indices: #