13.273 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (/ (exp x) (- (exp x) 1.0)) 0.033 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.033 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.034 * [simplify]: Simplified to: (/ (exp x) (- (exp x) 1.0)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.054 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.054 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (exp x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (exp x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 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 (/ 1 x)) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 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 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.055 * [taylor]: Taking taylor expansion of -1 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 (/ -1 x)) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.055 * [taylor]: Taking taylor expansion of -1 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 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.056 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp 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 x) (- (exp x) 1.0)) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.056 * [taylor]: Taking taylor expansion of (exp x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.057 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 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 * [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 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.063 * * * [progress]: simplifying candidates 0.064 * [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))) (+ x (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3)))) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.097 * * [simplify]: iteration 0 : 4947 enodes (cost 576 ) 0.097 * * [simplify]: iteration 1 : 4947 enodes (cost 576 ) 0.100 * [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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 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)) (- 1.0 (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)) (* (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) (- (pow (exp x) 2) (* 1.0 1.0))) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.100 * * * [progress]: adding candidates to table 0.185 * * [progress]: iteration 2 / 4 0.185 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.202 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.208 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.217 * [approximate]: Taking taylor expansion of (* 1/12 x) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.217 * [taylor]: Taking taylor expansion of 1/12 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.217 * [taylor]: Taking taylor expansion of 1/12 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [approximate]: Taking taylor expansion of (/ 1/12 x) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.217 * [taylor]: Taking taylor expansion of 1/12 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (/ 1/12 x) in x 0.217 * [taylor]: Taking taylor expansion of 1/12 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [approximate]: Taking taylor expansion of (/ -1/12 x) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.218 * [taylor]: Taking taylor expansion of -1/12 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ -1/12 x) in x 0.218 * [taylor]: Taking taylor expansion of -1/12 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.219 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.219 * [taylor]: Taking taylor expansion of 1/12 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.219 * [taylor]: Taking taylor expansion of 1/12 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [approximate]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of 1/12 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of 1/12 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.222 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.222 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1/12 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/12 (/ 1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1/12 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.224 * [approximate]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 0.224 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.224 * [taylor]: Taking taylor expansion of 1/12 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1/2 in x 0.224 * [taylor]: Taking taylor expansion of (+ (* 1/12 x) (+ (/ 1 x) 1/2)) in x 0.224 * [taylor]: Taking taylor expansion of (* 1/12 x) in x 0.224 * [taylor]: Taking taylor expansion of 1/12 in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1/2) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1/2 in x 0.224 * [approximate]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 0.224 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 1/12 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1/2 in x 0.224 * [taylor]: Taking taylor expansion of (+ x (+ (* 1/12 (/ 1 x)) 1/2)) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 x)) 1/2) in x 0.225 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 1/12 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of 1/2 in x 0.225 * [approximate]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of 1/2 in x 0.225 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 1/12 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (- 1/2 (+ x (* 1/12 (/ 1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of 1/2 in x 0.225 * [taylor]: Taking taylor expansion of (+ x (* 1/12 (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 1/12 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * * * [progress]: simplifying candidates 0.226 * [simplify]: Simplifying using # : (* x 1/12) (+ (log x) (log 1/12)) (log (* x 1/12)) (exp (* x 1/12)) (* (* (* x x) x) (* (* 1/12 1/12) 1/12)) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (* (* x 1/12) (* x 1/12)) (* x 1/12)) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) (* x 1) (* (cbrt x) 1/12) (* (sqrt x) 1/12) (* x 1/12) (* (exp (* x 1/12)) (exp (/ 1 x))) (log (+ (* x 1/12) (/ 1 x))) (exp (+ (* x 1/12) (/ 1 x))) (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))) (cbrt (+ (* x 1/12) (/ 1 x))) (* (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (+ (pow (* x 1/12) 3) (pow (/ 1 x) 3)) (+ (* (* x 1/12) (* x 1/12)) (- (* (/ 1 x) (/ 1 x)) (* (* x 1/12) (/ 1 x)))) (- (* (* x 1/12) (* x 1/12)) (* (/ 1 x) (/ 1 x))) (- (* x 1/12) (/ 1 x)) (* (exp 1/2) (* (exp (* x 1/12)) (exp (/ 1 x)))) (* (exp 1/2) (exp (+ (* x 1/12) (/ 1 x)))) (log (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (exp (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (* (cbrt (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (cbrt (+ 1/2 (+ (* x 1/12) (/ 1 x))))) (cbrt (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (* (* (+ 1/2 (+ (* x 1/12) (/ 1 x))) (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (sqrt (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (sqrt (+ 1/2 (+ (* x 1/12) (/ 1 x)))) (+ (pow 1/2 3) (pow (+ (* x 1/12) (/ 1 x)) 3)) (+ (* 1/2 1/2) (- (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x))) (* 1/2 (+ (* x 1/12) (/ 1 x))))) (- (* 1/2 1/2) (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)))) (- 1/2 (+ (* x 1/12) (/ 1 x))) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (+ 1/2 (* x 1/12)) (* 1/12 x) (* 1/12 x) (* 1/12 x) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (/ 1 x)) (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (+ (* 1/12 x) (+ (/ 1 x) 1/2)) 0.281 * * [simplify]: iteration 0 : 4852 enodes (cost 420 ) 0.282 * * [simplify]: iteration 1 : 4852 enodes (cost 420 ) 0.284 * [simplify]: Simplified to: (* x 1/12) (log (* x 1/12)) (log (* x 1/12)) (pow (exp x) 1/12) (* (pow x 3) 1/1728) (* (cbrt (* x 1/12)) (cbrt (* x 1/12))) (cbrt (* x 1/12)) (* (pow x 3) 1/1728) (sqrt (* x 1/12)) (sqrt (* x 1/12)) (* (sqrt x) (sqrt 1/12)) (* (sqrt x) (sqrt 1/12)) (* x (* (cbrt 1/12) (cbrt 1/12))) (* x (sqrt 1/12)) x (* 1/12 (cbrt x)) (* 1/12 (sqrt x)) (* x 1/12) (exp (+ (* x 1/12) (/ 1 x))) (log (+ (* x 1/12) (/ 1 x))) (exp (+ (* x 1/12) (/ 1 x))) (* (cbrt (+ (* x 1/12) (/ 1 x))) (cbrt (+ (* x 1/12) (/ 1 x)))) (cbrt (+ (* x 1/12) (/ 1 x))) (pow (+ (* x 1/12) (/ 1 x)) 3) (sqrt (+ (* x 1/12) (/ 1 x))) (sqrt (+ (* x 1/12) (/ 1 x))) (+ (* (pow x 3) 1/1728) (/ 1 (pow x 3))) (+ (* x (* x 1/144)) (+ (/ 1 (* x x)) -1/12)) (+ (* x (* x 1/144)) (/ (/ -1 x) x)) (+ (* x 1/12) (/ -1 x)) (exp (+ (* x 1/12) (+ (/ 1 x) 1/2))) (exp (+ (* x 1/12) (+ (/ 1 x) 1/2))) (log (+ (* x 1/12) (+ (/ 1 x) 1/2))) (exp (+ (* x 1/12) (+ (/ 1 x) 1/2))) (* (cbrt (+ (* x 1/12) (+ (/ 1 x) 1/2))) (cbrt (+ (* x 1/12) (+ (/ 1 x) 1/2)))) (cbrt (+ (* x 1/12) (+ (/ 1 x) 1/2))) (pow (+ (* x 1/12) (+ (/ 1 x) 1/2)) 3) (sqrt (+ (* x 1/12) (+ (/ 1 x) 1/2))) (sqrt (+ (* x 1/12) (+ (/ 1 x) 1/2))) (+ (pow (+ (* x 1/12) (/ 1 x)) 3) 1/8) (+ 1/4 (* (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (+ (/ 1 x) -1/2)))) (+ (/ (/ -1 x) x) (+ 1/12 (* x (* x -1/144)))) (+ 1/2 (+ (/ -1 x) (* x -1/12))) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (+ (* x 1/12) 1/2) (* x 1/12) (* x 1/12) (* x 1/12) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (/ 1 x)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) (+ (* x 1/12) (+ (/ 1 x) 1/2)) 0.284 * * * [progress]: adding candidates to table 0.340 * * [progress]: iteration 3 / 4 0.340 * * * [progress]: picking best candidate 0.348 * * * * [pick]: Picked # 0.348 * * * [progress]: localizing error 0.353 * * * [progress]: generating rewritten candidates 0.353 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.363 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.368 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.381 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.381 * [taylor]: Taking taylor expansion of (exp x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.381 * [taylor]: Taking taylor expansion of 1 in x 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.382 * [taylor]: Taking taylor expansion of (exp x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.383 * [taylor]: Taking taylor expansion of 1 in x 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.385 * [taylor]: Taking taylor expansion of 1 in x 0.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.385 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.385 * [taylor]: Taking taylor expansion of -1 in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.386 * [taylor]: Taking taylor expansion of 1 in x 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.386 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.386 * [taylor]: Taking taylor expansion of -1 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.388 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.388 * [approximate]: Taking taylor expansion of (/ 1.0 (exp x)) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (exp x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (exp x)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [taylor]: Taking taylor expansion of (exp x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [approximate]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in (x) around 0 0.390 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (/ 1.0 (exp (/ -1 x))) in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.390 * [taylor]: Taking taylor expansion of -1 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.392 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.392 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.392 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.392 * [taylor]: Taking taylor expansion of (exp x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) in x 0.392 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp x)))) in x 0.392 * [taylor]: Taking taylor expansion of 1 in x 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp x))) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (exp x)) in x 0.392 * [taylor]: Taking taylor expansion of (exp x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in (x) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.394 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.394 * [taylor]: Taking taylor expansion of 1 in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ 1 x)))))) in x 0.394 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ 1 x))))) in x 0.394 * [taylor]: Taking taylor expansion of 1 in x 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ 1 x)))) in x 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.398 * [approximate]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.398 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.398 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.398 * [taylor]: Taking taylor expansion of -1 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (- 1 (* 1.0 (/ 1 (exp (/ -1 x)))))) in x 0.398 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 (/ 1 (exp (/ -1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of 1 in x 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (exp (/ -1 x)))) in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 x))) in x 0.399 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.402 * * * [progress]: simplifying candidates 0.404 * [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))) (- (log 1.0) x) (log (/ 1.0 (exp x))) (exp (/ 1.0 (exp x))) (/ (* (* 1.0 1.0) 1.0) (* (* (exp x) (exp x)) (exp x))) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (cbrt (/ 1.0 (exp x))) (* (* (/ 1.0 (exp x)) (/ 1.0 (exp x))) (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (neg 1.0) (neg (exp x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt 1.0) (cbrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (exp x))) (/ (cbrt 1.0) (sqrt (exp x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (exp x)) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (exp x)) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))) (/ 1 (sqrt (exp x))) (/ 1.0 (sqrt (exp x))) (/ 1 1) (/ 1.0 (exp x)) (/ 1 (exp x)) (/ (exp x) 1.0) (/ 1.0 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (sqrt (exp x))) (/ 1.0 1) (/ (exp x) (cbrt 1.0)) (/ (exp x) (sqrt 1.0)) (/ (exp x) 1.0) (neg 1) (neg (log (- 1 (/ 1.0 (exp x))))) (- 0 (log (- 1 (/ 1.0 (exp x))))) (- (log 1) (log (- 1 (/ 1.0 (exp x))))) (log (/ 1 (- 1 (/ 1.0 (exp x))))) (exp (/ 1 (- 1 (/ 1.0 (exp x))))) (/ (* (* 1 1) 1) (* (* (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x))))) (* (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (* (* (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (neg 1) (neg (- 1 (/ 1.0 (exp x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ (cbrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (cbrt 1) (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (cbrt 1) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ 1 (sqrt (/ 1.0 (exp x))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (/ (* (cbrt 1) (cbrt 1)) (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ (sqrt 1) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ (sqrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1 (/ 1.0 (exp x)))) (/ (sqrt 1) (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (+ 1 (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (/ (sqrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 1) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (- (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 1) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ (- 1 (/ 1.0 (exp x))) 1) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 1) (/ 1 (+ (sqrt 1) (sqrt (/ 1.0 (exp x))))) (/ 1 (+ (sqrt 1) (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 1) (/ (- 1 (/ 1.0 (exp x))) (cbrt 1)) (/ (- 1 (/ 1.0 (exp x))) (sqrt 1)) (/ (- 1 (/ 1.0 (exp x))) 1) (/ 1 (- (pow 1 3) (pow (/ 1.0 (exp x)) 3))) (/ 1 (- (* 1 1) (* (/ 1.0 (exp x)) (/ 1.0 (exp x))))) (- (+ (* 1.0 x) (* 0.16666666666666666 (pow x 3))) (* 0.5 (pow x 2))) (- 1 (* 1.0 (/ 1 (exp x)))) (- 1 (* 1.0 (/ 1 (exp x)))) (- (+ (* 0.5 (pow x 2)) 1.0) (* 1.0 x)) (/ 1.0 (exp x)) (/ 1.0 (exp x)) (+ (* 0.08333333333333334 x) (+ (* 1.0 (/ 1 x)) 0.5)) (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) (/ 1 (- 1 (* 1.0 (/ 1 (exp x))))) 0.445 * * [simplify]: iteration 0 : 4894 enodes (cost 1135 ) 0.445 * * [simplify]: iteration 1 : 4894 enodes (cost 1135 ) 0.450 * [simplify]: Simplified to: (/ E (exp (/ 1.0 (exp x)))) (log (- 1 (/ 1.0 (exp x)))) (/ E (exp (/ 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 (* 1.0 (/ (+ 1 (/ 1.0 (exp x))) (exp x)))) (/ (neg 1.0) (exp x)) (- 1 (* 1.0 (/ 1.0 (pow (exp x) 2)))) (+ 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)) (- (log 1.0) x) (- (log 1.0) x) (exp (/ 1.0 (exp x))) (pow (/ 1.0 (exp x)) 3) (* (cbrt (/ 1.0 (exp x))) (cbrt (/ 1.0 (exp x)))) (cbrt (/ 1.0 (exp x))) (pow (/ 1.0 (exp x)) 3) (sqrt (/ 1.0 (exp x))) (sqrt (/ 1.0 (exp x))) (neg 1.0) (neg (exp x)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (cbrt 1.0) (cbrt (exp x))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (exp x)))) (/ (cbrt 1.0) (sqrt (exp x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (exp x)) (/ (sqrt 1.0) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt 1.0) (cbrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (/ (sqrt 1.0) (sqrt (exp x))) (sqrt 1.0) (/ (sqrt 1.0) (exp x)) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (cbrt (exp x))) (/ 1 (sqrt (exp x))) (/ 1.0 (sqrt (exp x))) 1 (/ 1.0 (exp x)) (exp (neg x)) (/ (exp x) 1.0) (/ 1.0 (* (cbrt (exp x)) (cbrt (exp x)))) (/ 1.0 (sqrt (exp x))) 1.0 (/ (exp x) (cbrt 1.0)) (/ (exp x) (sqrt 1.0)) (/ (exp x) 1.0) -1 (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (neg (log (- 1 (/ 1.0 (exp x))))) (exp (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (pow (- 1 (/ 1.0 (exp x))) 3)) (* (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x)))))) (cbrt (/ 1 (- 1 (/ 1.0 (exp x))))) (/ 1 (pow (- 1 (/ 1.0 (exp x))) 3)) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) (sqrt (/ 1 (- 1 (/ 1.0 (exp x))))) -1 (+ (/ 1.0 (exp x)) -1) (* (cbrt 1) (/ (cbrt 1) (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x))))))) (/ (cbrt 1) (cbrt (- 1 (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x)))))) (/ (cbrt 1) (sqrt (- 1 (/ 1.0 (exp x))))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (sqrt (/ 1.0 (exp x)))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (sqrt (/ 1.0 (exp x)))))) (/ (cbrt 1) (- 1 (sqrt (/ 1.0 (exp x))))) (* (cbrt 1) (/ (cbrt 1) (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))) (/ (cbrt 1) (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (cbrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (- 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (- 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) (- 1 (/ 1.0 (exp x))) (/ 1 (* (cbrt (- 1 (/ 1.0 (exp x)))) (cbrt (- 1 (/ 1.0 (exp x)))))) (/ 1 (sqrt (- 1 (/ 1.0 (exp x))))) 1 (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) (/ 1 (+ 1 (sqrt (/ 1.0 (exp x))))) (/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x))))) 1 (/ (- 1 (/ 1.0 (exp x))) (cbrt 1)) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (/ 1 (- 1 (pow (/ 1.0 (exp x)) 3))) (/ 1 (- 1 (* 1.0 (/ 1.0 (pow (exp x) 2))))) (* x (+ 1.0 (* x (- (* x 0.16666666666666666) 0.5)))) (- 1 (/ 1.0 (exp x))) (- 1 (/ 1.0 (exp x))) (+ 1.0 (* x (- (* x 0.5) 1.0))) (/ 1.0 (exp x)) (/ 1.0 (exp x)) (+ 0.5 (+ (* x 0.08333333333333334) (/ 1.0 x))) (/ 1 (- 1 (/ 1.0 (exp x)))) (/ 1 (- 1 (/ 1.0 (exp x)))) 0.450 * * * [progress]: adding candidates to table 0.556 * * [progress]: iteration 4 / 4 0.556 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.573 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.578 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 0.582 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 0.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.597 * * * [progress]: generating series expansions 0.597 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.597 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.597 * [taylor]: Taking taylor expansion of (exp x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.597 * [taylor]: Taking taylor expansion of (exp x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.598 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.599 * [taylor]: Taking taylor expansion of -1 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 0.599 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (exp x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (exp x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 0.601 * [approximate]: Taking taylor expansion of (- (exp x) 1.0) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (exp x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (exp x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.603 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.603 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.603 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.603 * [taylor]: Taking taylor expansion of -1 in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.603 * [approximate]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.603 * [taylor]: Taking taylor expansion of (exp x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (exp x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ (exp x) (- (exp x) 1.0)) in x 0.604 * [taylor]: Taking taylor expansion of (exp x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (- (exp x) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (exp x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1.0)) in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) 1.0) in x 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [approximate]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * * * [progress]: simplifying candidates 0.611 * [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) (/ (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) (/ (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))) (+ x (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3)))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3)))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (+ (* 1/2 (pow x 2)) (* 1/6 (pow x 3)))) (- (exp x) 1.0) (- (exp x) 1.0) (+ (* 1/12 x) (+ (/ 1 x) 1/2)) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.646 * * [simplify]: iteration 0 : 4947 enodes (cost 810 ) 0.647 * * [simplify]: iteration 1 : 4947 enodes (cost 810 ) 0.650 * [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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 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 (- (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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 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 (- (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)) (+ (pow (exp x) 2) (* 1.0 (+ (exp x) 1.0))) (neg 1.0) (- (pow (exp x) 2) (* 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)) (- 1.0 (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)) (* (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) (- (pow (exp x) 2) (* 1.0 1.0))) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ x (* x (* x (+ 1/2 (* x 1/6))))) (- (exp x) 1.0) (- (exp x) 1.0) (+ 1/2 (+ (* x 1/12) (/ 1 x))) (/ (exp x) (- (exp x) 1.0)) (/ (exp x) (- (exp x) 1.0)) 0.651 * * * [progress]: adding candidates to table 0.808 * [progress]: [Phase 3 of 3] Extracting. 0.808 * * [regime]: Finding splitpoints for: (# # # #) 0.809 * * * [regime-changes]: Trying 3 branch expressions: ((exp x) (/ (exp x) (- (exp x) 1.0)) x) 0.809 * * * * [regimes]: Trying to branch on (exp x) from (# # # #) 0.842 * * * * [regimes]: Trying to branch on (exp x) from (# #) 0.871 * * * * [regimes]: Trying to branch on (/ (exp x) (- (exp x) 1.0)) from (# # # #) 0.905 * * * * [regimes]: Trying to branch on x from (# # # #) 0.943 * * * [regime]: Found split indices: #