19.140 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.033 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 8 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.055 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (exp x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (exp x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (exp x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (exp x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.060 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.060 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (neg 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (neg 1.0) (- x (log (- (exp x) 1.0))) (log (/ (exp x) (- (exp x) 1.0))) (exp (/ (exp x) (- (exp x) 1.0))) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0))) (* (cbrt (/ (exp x) (- (exp x) 1.0))) (cbrt (/ (exp x) (- (exp x) 1.0)))) (cbrt (/ (exp x) (- (exp x) 1.0))) (* (* (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0))) (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (neg (exp x)) (neg (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (cbrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ 1 (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ 1 1) (/ (exp x) (- (exp x) 1.0)) (/ 1 (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) (/ 1 1) (/ (exp x) (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (/ (- (exp x) 1.0) (exp x)) (/ (exp x) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ (exp x) 1) (/ (exp x) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) 1) (/ (- (exp x) 1.0) (cbrt (exp x))) (/ (- (exp x) 1.0) (sqrt (exp x))) (/ (- (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)) 0.068 * * [simplify]: iteration 0 : 180 enodes (cost 378 ) 0.071 * * [simplify]: iteration 1 : 542 enodes (cost 357 ) 0.081 * * [simplify]: iteration 2 : 2174 enodes (cost 354 ) 0.130 * * [simplify]: iteration 3 : 5003 enodes (cost 354 ) 0.132 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (neg 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (neg 1.0) (- x (log (- (exp x) 1.0))) (- x (log (- (exp x) 1.0))) (exp (/ (exp x) (- (exp x) 1.0))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (* (cbrt (/ (exp x) (- (exp x) 1.0))) (cbrt (/ (exp x) (- (exp x) 1.0)))) (cbrt (/ (exp x) (- (exp x) 1.0))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (sqrt (/ (exp x) (- (exp x) 1.0))) (sqrt (/ (exp x) (- (exp x) 1.0))) (neg (exp x)) (neg (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (cbrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ 1 (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (+ (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (- 1 (/ 1.0 (exp x))) (/ (exp x) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (sqrt (- (exp x) 1.0))) (exp x) (/ (exp x) (+ (sqrt (exp x)) (sqrt 1.0))) (exp x) (/ (- (exp x) 1.0) (cbrt (exp x))) (/ (- (exp x) 1.0) (sqrt (exp x))) (- 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)) 0.133 * * * [progress]: adding candidates to table 0.195 * * [progress]: iteration 2 / 4 0.195 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.215 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.223 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.234 * [approximate]: Taking taylor expansion of (* 1/6 x) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.235 * [taylor]: Taking taylor expansion of 1/6 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.235 * [taylor]: Taking taylor expansion of 1/6 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [approximate]: Taking taylor expansion of (/ 1/6 x) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.235 * [taylor]: Taking taylor expansion of 1/6 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (/ 1/6 x) in x 0.235 * [taylor]: Taking taylor expansion of 1/6 in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.236 * [approximate]: Taking taylor expansion of (/ -1/6 x) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.236 * [taylor]: Taking taylor expansion of -1/6 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (/ -1/6 x) in x 0.236 * [taylor]: Taking taylor expansion of -1/6 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.236 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.237 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.237 * [taylor]: Taking taylor expansion of 1/6 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1/2 in x 0.237 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (* 1/6 x) 1/2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (* 1/6 x) 1/2) in x 0.237 * [taylor]: Taking taylor expansion of (* 1/6 x) in x 0.237 * [taylor]: Taking taylor expansion of 1/6 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [approximate]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 1/6 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ (+ 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (+ 1/2 (* 1/6 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 1/6 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.240 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of 1/2 in x 0.240 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1/6 in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/6 (/ 1 x))) (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/6 (/ 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of 1/2 in x 0.241 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of 1/6 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of 1/2 in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.243 * [taylor]: Taking taylor expansion of 1/6 in x 0.243 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ (exp x) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))) in x 0.243 * [taylor]: Taking taylor expansion of (exp x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/2 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of 1/2 in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1/6 (pow x 3)) x) in x 0.243 * [taylor]: Taking taylor expansion of (* 1/6 (pow x 3)) in x 0.243 * [taylor]: Taking taylor expansion of 1/6 in x 0.243 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.244 * [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 0.244 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1/2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.244 * [taylor]: Taking taylor expansion of 1/6 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.244 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1/2 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.245 * [taylor]: Taking taylor expansion of 1/6 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [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 0.246 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.246 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.246 * [taylor]: Taking taylor expansion of 1/2 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.246 * [taylor]: Taking taylor expansion of 1/6 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))))) in x 0.246 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3))))) in x 0.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1/2 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 1/6 (/ 1 (pow x 3)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 3))) in x 0.247 * [taylor]: Taking taylor expansion of 1/6 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * * * [progress]: simplifying candidates 0.249 * [simplify]: Simplifying using # : (* x 1/6) (+ (log x) (log 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (* (* (* x x) x) (* (* 1/6 1/6) 1/6)) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (* (* (* x 1/6) (* x 1/6)) (* x 1/6)) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) (* x 1) (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (* (log x) 2) (log (+ (* x 1/6) 1/2))) (+ (log (pow x 2)) (log (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2))) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (* (* (pow x 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow (sqrt x) 2) (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* x (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x (/ 2 2)) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) (* x 1/6)) (* (pow x 2) 1/2) (* (* x 1/6) (pow x 2)) (* 1/2 (pow x 2)) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (* (pow x 2) 1) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (pow (sqrt x) 2) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* x (+ (* x 1/6) 1/2)) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (sqrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* 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))) (- x (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (log (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (exp (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (+ (* (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))) (* (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (* (* (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (neg (exp x)) (neg (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (cbrt (exp x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (cbrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (sqrt (exp x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (sqrt (exp x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (sqrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (sqrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (exp x) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ 1 (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (exp x) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ 1 1) (/ (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) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (exp x) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (exp x) 1) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (cbrt (exp x))) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (sqrt (exp 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))) (* 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)))) 0.255 * * [simplify]: iteration 0 : 401 enodes (cost 619 ) 0.264 * * [simplify]: iteration 1 : 1835 enodes (cost 573 ) 0.303 * * [simplify]: iteration 2 : 5002 enodes (cost 571 ) 0.306 * [simplify]: Simplified to: (* x 1/6) (log (* x 1/6)) (log (* x 1/6)) (exp (* x 1/6)) (pow (* x 1/6) 3) (* (cbrt (* x 1/6)) (cbrt (* x 1/6))) (cbrt (* x 1/6)) (pow (* x 1/6) 3) (sqrt (* x 1/6)) (sqrt (* x 1/6)) (* (sqrt x) (sqrt 1/6)) (* (sqrt x) (sqrt 1/6)) (* x (* (cbrt 1/6) (cbrt 1/6))) (* x (sqrt 1/6)) x (* (cbrt x) 1/6) (* (sqrt x) 1/6) (* x 1/6) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (log (* (pow x 2) (+ (* x 1/6) 1/2))) (exp (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (* (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2)))) (cbrt (* (pow x 2) (+ (* x 1/6) 1/2))) (pow (* (pow x 2) (+ (* x 1/6) 1/2)) 3) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (sqrt (* (pow x 2) (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (pow x 2)) (sqrt (+ (* x 1/6) 1/2))) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (sqrt (+ (* x 1/6) 1/2)) x) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 3) 1/6) (* (pow x 2) 1/2) (* (pow x 2) (* (cbrt (+ (* x 1/6) 1/2)) (cbrt (+ (* x 1/6) 1/2)))) (* (pow x 2) (sqrt (+ (* x 1/6) 1/2))) (pow x 2) (* (pow (cbrt x) 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (cbrt (pow x 2)) (+ (* x 1/6) 1/2)) (* (fabs x) (+ (* x 1/6) 1/2)) (* (pow x 2) (+ (* x 1/6) 1/2)) (* (+ (* x 1/6) 1/2) x) (* (pow x 2) (+ (pow (* x 1/6) 3) 1/8)) (* (+ (* (pow x 2) 1/36) -1/4) (pow x 2)) (- x (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (- x (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (exp (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 3) (* (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (cbrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (pow (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) 3) (sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (neg (exp x)) (neg (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (cbrt (exp x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (cbrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ (sqrt (exp x)) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (sqrt (exp x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (sqrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (sqrt (exp x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (sqrt (exp x)) (/ (sqrt (exp x)) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (/ 1 (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (exp x) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ 1 (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (/ (exp x) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 1 (/ (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) (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))) (/ (exp x) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) (exp x) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (cbrt (exp x))) (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (sqrt (exp 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 4) (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2))) (pow x 2))) (* 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)))) 0.307 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 3 / 4 0.413 * * * [progress]: picking best candidate 0.417 * * * * [pick]: Picked # 0.418 * * * [progress]: localizing error 0.425 * * * [progress]: generating rewritten candidates 0.425 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.429 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.435 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.445 * * * [progress]: generating series expansions 0.445 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.446 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (exp x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (exp x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.448 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.448 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (exp x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (exp x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.450 * [taylor]: Taking taylor expansion of -1 in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.450 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.450 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (exp x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (exp x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (exp x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (exp x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.454 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.454 * [taylor]: Taking taylor expansion of -1 in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * * * [progress]: simplifying candidates 0.458 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (* (* (- (exp x) 1.0) (- (exp x) 1.0)) (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))) (neg 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (neg 1.0) (log (exp (exp x))) (log (exp (neg 1.0))) (log (exp (exp x))) (log (exp (neg 1.0))) (log (* (cbrt (exp (- (exp x) 1.0))) (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log 1) (log (exp (- (exp x) 1.0))) (log (exp (exp x))) (log (exp 1.0)) (log (exp (- (exp x) 1.0))) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))) (log (exp (sqrt (- (exp x) 1.0)))) (log (exp 1)) (log (exp (+ (sqrt (exp x)) (sqrt 1.0)))) (log (exp 1)) (log (log (exp (- (exp x) 1.0)))) (exp (log (exp (- (exp x) 1.0)))) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0))))) (cbrt (log (exp (- (exp x) 1.0)))) (* (* (log (exp (- (exp x) 1.0))) (log (exp (- (exp x) 1.0)))) (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (sqrt (log (exp (- (exp x) 1.0)))) (- x (log (log (exp (- (exp x) 1.0))))) (log (/ (exp x) (log (exp (- (exp x) 1.0))))) (exp (/ (exp x) (log (exp (- (exp x) 1.0))))) (/ (* (* (exp x) (exp x)) (exp x)) (* (* (log (exp (- (exp x) 1.0))) (log (exp (- (exp x) 1.0)))) (log (exp (- (exp x) 1.0))))) (* (cbrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (cbrt (/ (exp x) (log (exp (- (exp x) 1.0)))))) (cbrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (* (* (/ (exp x) (log (exp (- (exp x) 1.0)))) (/ (exp x) (log (exp (- (exp x) 1.0))))) (/ (exp x) (log (exp (- (exp x) 1.0))))) (sqrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (sqrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (neg (exp x)) (neg (log (exp (- (exp x) 1.0)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (log (exp (- (exp x) 1.0)))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (log (exp (sqrt (- (exp x) 1.0))))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (exp x) 1.0)) (/ (cbrt (exp x)) (log (exp 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (sqrt (exp x)) (sqrt 1.0))) (/ (cbrt (exp x)) (log (exp (+ (sqrt (exp x)) (sqrt 1.0))))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (exp x) 1.0)) (/ (cbrt (exp x)) (log (exp 1))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0)))))) (/ (cbrt (exp x)) (cbrt (log (exp (- (exp x) 1.0))))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (log (exp (- (exp x) 1.0))))) (/ (cbrt (exp x)) (sqrt (log (exp (- (exp x) 1.0))))) (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) (/ (cbrt (exp x)) (log (exp (- (exp x) 1.0)))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (log (exp (- (exp x) 1.0)))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (log (exp (sqrt (- (exp x) 1.0))))) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (log (exp 1))) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (log (exp (+ (sqrt (exp x)) (sqrt 1.0))))) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (log (exp 1))) (/ (sqrt (exp x)) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0)))))) (/ (sqrt (exp x)) (cbrt (log (exp (- (exp x) 1.0))))) (/ (sqrt (exp x)) (sqrt (log (exp (- (exp x) 1.0))))) (/ (sqrt (exp x)) (sqrt (log (exp (- (exp x) 1.0))))) (/ (sqrt (exp x)) 1) (/ (sqrt (exp x)) (log (exp (- (exp x) 1.0)))) (/ 1 1) (/ (exp x) (log (exp (- (exp x) 1.0)))) (/ 1 (cbrt (- (exp x) 1.0))) (/ (exp x) (log (exp (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (log (exp (sqrt (- (exp x) 1.0))))) (/ 1 (- (exp x) 1.0)) (/ (exp x) (log (exp 1))) (/ 1 (- (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (log (exp (+ (sqrt (exp x)) (sqrt 1.0))))) (/ 1 (- (exp x) 1.0)) (/ (exp x) (log (exp 1))) (/ 1 (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0)))))) (/ (exp x) (cbrt (log (exp (- (exp x) 1.0))))) (/ 1 (sqrt (log (exp (- (exp x) 1.0))))) (/ (exp x) (sqrt (log (exp (- (exp x) 1.0))))) (/ 1 1) (/ (exp x) (log (exp (- (exp x) 1.0)))) (/ 1 (log (exp (- (exp x) 1.0)))) (/ (log (exp (- (exp x) 1.0))) (exp x)) (/ (exp x) 1) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (* (cbrt (log (exp (- (exp x) 1.0)))) (cbrt (log (exp (- (exp x) 1.0)))))) (/ (exp x) (sqrt (log (exp (- (exp x) 1.0))))) (/ (exp x) 1) (/ (log (exp (- (exp x) 1.0))) (cbrt (exp x))) (/ (log (exp (- (exp x) 1.0))) (sqrt (exp x))) (/ (log (exp (- (exp x) 1.0))) (exp x)) (+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x)) (- (exp x) 1.0) (- (exp x) 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)) 0.463 * * [simplify]: iteration 0 : 232 enodes (cost 668 ) 0.467 * * [simplify]: iteration 1 : 632 enodes (cost 601 ) 0.478 * * [simplify]: iteration 2 : 2395 enodes (cost 579 ) 0.524 * * [simplify]: iteration 3 : 5002 enodes (cost 575 ) 0.528 * [simplify]: Simplified to: (exp (- (exp x) 1.0)) (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) (neg 1.0) (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0) (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)) (- (exp x) 1.0) (neg 1.0) (exp x) (neg 1.0) (exp x) (neg 1.0) (* 2 (log (cbrt (exp (- (exp x) 1.0))))) (log (cbrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) (log (sqrt (exp (- (exp x) 1.0)))) 0 (- (exp x) 1.0) (exp x) 1.0 (- (exp x) 1.0) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (sqrt (- (exp x) 1.0)) 1 (+ (sqrt (exp x)) (sqrt 1.0)) 1 (log (- (exp x) 1.0)) (exp (- (exp x) 1.0)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0)) (pow (- (exp x) 1.0) 3) (sqrt (- (exp x) 1.0)) (sqrt (- (exp x) 1.0)) (- x (log (* (- (exp x) 1.0) 1))) (- x (log (* (- (exp x) 1.0) 1))) (exp (/ (exp x) (- (exp x) 1.0))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (* (cbrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (cbrt (/ (exp x) (log (exp (- (exp x) 1.0)))))) (cbrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (pow (/ (exp x) (- (exp x) 1.0)) 3) (sqrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (sqrt (/ (exp x) (log (exp (- (exp x) 1.0))))) (neg (exp x)) (+ (neg (exp x)) 1.0) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp x) 1.0))) (/ (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (exp x) 1.0)) (cbrt (exp x)) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (sqrt (exp x)) (sqrt 1.0))) (/ (cbrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (- (exp x) 1.0)) (cbrt (exp x)) (/ (/ (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (- (exp x) 1.0))) (/ (cbrt (exp x)) (sqrt (- (exp x) 1.0))) (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (- (exp x) 1.0)) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (- (exp x) 1.0)) (sqrt (exp x)) (/ (sqrt (exp x)) (- (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (+ (sqrt (exp x)) (sqrt 1.0))) (/ (sqrt (exp x)) (- (exp x) 1.0)) (sqrt (exp x)) (/ (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (cbrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (/ (sqrt (exp x)) (sqrt (- (exp x) 1.0))) (sqrt (exp x)) (/ (sqrt (exp x)) (- (exp x) 1.0)) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (cbrt (- (exp x) 1.0))) (/ (/ (exp x) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ 1 (- (exp x) 1.0)) (exp x) (/ 1 (- (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (+ (sqrt (exp x)) (sqrt 1.0))) (/ 1 (- (exp x) 1.0)) (exp x) (/ 1 (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ 1 (sqrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) 1 (/ (exp x) (- (exp x) 1.0)) (/ 1 (- (exp x) 1.0)) (- 1 (/ 1.0 (exp x))) (exp x) (/ (exp x) (cbrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (sqrt (exp x)) (sqrt 1.0))) (/ (exp x) (- (exp x) 1.0)) (/ (/ (exp x) (cbrt (- (exp x) 1.0))) (cbrt (- (exp x) 1.0))) (/ (exp x) (sqrt (- (exp x) 1.0))) (exp x) (/ (- (exp x) 1.0) (cbrt (exp x))) (/ (- (exp x) 1.0) (sqrt (exp x))) (- 1 (/ 1.0 (exp x))) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (- (exp x) 1.0) (- (exp x) 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)) 0.529 * * * [progress]: adding candidates to table 0.621 * * [progress]: iteration 4 / 4 0.621 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.631 * * * [progress]: generating rewritten candidates 0.631 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.639 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.639 * [taylor]: Taking taylor expansion of 1 in x 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.639 * [taylor]: Taking taylor expansion of (exp x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.639 * [taylor]: Taking taylor expansion of 1 in x 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.639 * [taylor]: Taking taylor expansion of (exp x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.641 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.642 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.642 * [taylor]: Taking taylor expansion of 1 in x 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.643 * [taylor]: Taking taylor expansion of 1 in x 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * * * [progress]: simplifying candidates 0.645 * [simplify]: Simplifying using # : (/ (exp 1) (exp (/ 1.0 (exp x)))) (log (- 1 (/ 1.0 (exp x)))) (exp (- 1 (/ 1.0 (exp x)))) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))) (cbrt (- 1 (/ 1.0 (exp x)))) (* (* (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (- (pow 1 3) (pow (/ 1.0 (exp x)) 3)) (+ (* 1 1) (+ (* (/ 1.0 (exp x)) (/ 1.0 (exp x))) (* 1 (/ 1.0 (exp x))))) (neg (/ 1.0 (exp x))) (- (* 1 1) (* (/ 1.0 (exp x)) (/ 1.0 (exp x)))) (+ 1 (/ 1.0 (exp x))) (+ (sqrt 1) (sqrt (/ 1.0 (exp x)))) (- (sqrt 1) (sqrt (/ 1.0 (exp x)))) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x)))) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x)))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ 1.0 (exp x))) (neg (/ 1.0 (exp x))) (- (+ (* 0.16666666666666666 (pow x 3)) (* 1.0 x)) (* 0.5 (pow x 2))) (- 1 (* 1.0 (/ 1 (exp x)))) (- 1 (* 1.0 (/ 1 (exp x)))) 0.648 * * [simplify]: iteration 0 : 124 enodes (cost 128 ) 0.651 * * [simplify]: iteration 1 : 442 enodes (cost 115 ) 0.660 * * [simplify]: iteration 2 : 1678 enodes (cost 114 ) 0.700 * * [simplify]: iteration 3 : 5002 enodes (cost 114 ) 0.701 * [simplify]: Simplified to: (exp (- 1 (/ 1.0 (exp x)))) (log (- 1 (/ 1.0 (exp x)))) (exp (- 1 (/ 1.0 (exp x)))) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))) (cbrt (- 1 (/ 1.0 (exp x)))) (pow (- 1 (/ 1.0 (exp x))) 3) (sqrt (- 1 (/ 1.0 (exp x)))) (sqrt (- 1 (/ 1.0 (exp x)))) (- 1 (pow (/ 1.0 (exp x)) 3)) (+ (* (/ 1.0 (exp x)) (+ (/ 1.0 (exp x)) 1)) 1) (neg (/ 1.0 (exp x))) (- 1 (* (/ 1.0 (exp x)) (/ 1.0 (exp x)))) (+ 1 (/ 1.0 (exp x))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (+ 1 (sqrt (/ 1.0 (exp x)))) (- 1 (sqrt (/ 1.0 (exp x)))) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ (sqrt 1.0) (sqrt (exp x)))) (- 1 (/ 1.0 (exp x))) (neg (/ 1.0 (exp x))) (+ (* (pow x 2) (- (* x 0.16666666666666666) 0.5)) (* 1.0 x)) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) 0.701 * * * [progress]: adding candidates to table 0.719 * [progress]: [Phase 3 of 3] Extracting. 0.719 * * [regime]: Finding splitpoints for: (# # #) 0.720 * * * [regime-changes]: Trying 2 branch expressions: ((exp x) x) 0.720 * * * * [regimes]: Trying to branch on (exp x) from (# # #) 0.747 * * * * [regimes]: Trying to branch on (exp x) from (# #) 0.771 * * * * [regimes]: Trying to branch on x from (# # #) 0.798 * * * [regime]: Found split indices: #