18.403 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.019 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.020 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.021 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.022 * * [simplify]: iteration 5 : 40 enodes (cost 5 ) 0.024 * * [simplify]: iteration 6 : 61 enodes (cost 5 ) 0.026 * * [simplify]: iteration 7 : 150 enodes (cost 5 ) 0.032 * * [simplify]: iteration 8 : 1040 enodes (cost 5 ) 0.225 * * [simplify]: iteration 9 : 5002 enodes (cost 5 ) 0.227 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.227 * * [progress]: iteration 1 / 4 0.227 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.244 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.250 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.250 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.250 * [taylor]: Taking taylor expansion of 2.0 in x 0.250 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.250 * [taylor]: Taking taylor expansion of (exp x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.250 * [taylor]: Taking taylor expansion of (- x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.252 * [taylor]: Taking taylor expansion of 2.0 in x 0.252 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.252 * [taylor]: Taking taylor expansion of (exp x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.252 * [taylor]: Taking taylor expansion of (- x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.275 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.276 * [taylor]: Taking taylor expansion of 2.0 in x 0.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.283 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of 2.0 in x 0.283 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.289 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.289 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.289 * [taylor]: Taking taylor expansion of (exp x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.289 * [taylor]: Taking taylor expansion of (- x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.290 * [taylor]: Taking taylor expansion of (exp x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.290 * [taylor]: Taking taylor expansion of (- x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.304 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.304 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.308 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.311 * * * [progress]: simplifying candidates 0.312 * [simplify]: Simplifying using # : (- (log 2.0) (log (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (* (* (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x))))) (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 1) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.321 * * [simplify]: iteration 0 : 191 enodes (cost 411 ) 0.325 * * [simplify]: iteration 1 : 633 enodes (cost 377 ) 0.339 * * [simplify]: iteration 2 : 3009 enodes (cost 375 ) 0.444 * * [simplify]: iteration 3 : 5002 enodes (cost 374 ) 0.447 * [simplify]: Simplified to: (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (+ (exp (+ x x)) (- (exp (+ (- x) (- x)))))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (pow (exp x) -2) (- (exp (+ x x)) 1)) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1)) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.448 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 2 / 4 0.537 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.548 * * * [progress]: generating rewritten candidates 0.548 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.555 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.560 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.567 * * * [progress]: generating series expansions 0.567 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.568 * [approximate]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) in x 0.568 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (pow x 4)) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (pow x 4)) in x 0.568 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.568 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of 0.5 in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) in x 0.568 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (pow x 4)) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (pow x 4)) in x 0.568 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.568 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of 0.5 in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.576 * [approximate]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 0.576 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in x 0.576 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) in x 0.576 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (/ 1 (pow x 4))) in x 0.576 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.576 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.577 * [taylor]: Taking taylor expansion of 0.5 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in x 0.577 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) in x 0.577 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (/ 1 (pow x 4))) in x 0.577 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 0.578 * [taylor]: Taking taylor expansion of 0.5 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in x 0.599 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) in x 0.599 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (/ 1 (pow x 4))) in x 0.599 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.599 * [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 (* 0.5 (/ 1 (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of 0.5 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (- (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) (* 0.5 (/ 1 (pow x 2)))) in x 0.600 * [taylor]: Taking taylor expansion of (+ (* 0.20833333333333334 (/ 1 (pow x 4))) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (/ 1 (pow x 4))) in x 0.600 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.600 * [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 (* 0.5 (/ 1 (pow x 2))) in x 0.601 * [taylor]: Taking taylor expansion of 0.5 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.617 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.617 * [approximate]: Taking taylor expansion of (* 0.20833333333333334 (pow x 4)) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (pow x 4)) in x 0.617 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (* 0.20833333333333334 (pow x 4)) in x 0.617 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.617 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in x 0.629 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.629 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in x 0.630 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.630 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.641 * [approximate]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in (x) around 0 0.641 * [taylor]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in x 0.641 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.641 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.641 * [taylor]: Taking taylor expansion of (/ 0.20833333333333334 (pow x 4)) in x 0.641 * [taylor]: Taking taylor expansion of 0.20833333333333334 in x 0.641 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.652 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.653 * [approximate]: Taking taylor expansion of (* 0.5 (pow x 2)) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of 0.5 in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.661 * [approximate]: Taking taylor expansion of (/ 0.5 (pow x 2)) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (/ 0.5 (pow x 2)) in x 0.661 * [taylor]: Taking taylor expansion of 0.5 in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (/ 0.5 (pow x 2)) in x 0.661 * [taylor]: Taking taylor expansion of 0.5 in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.674 * [approximate]: Taking taylor expansion of (/ 0.5 (pow x 2)) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 0.5 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of 0.5 in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (/ 0.5 (pow x 2)) in x 0.675 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.682 * * * [progress]: simplifying candidates 0.684 * [simplify]: Simplifying using # : (/ (* (exp (* 0.20833333333333334 (pow x 4))) (exp 1.0)) (exp (* 0.5 (pow x 2)))) (/ (exp (+ (* 0.20833333333333334 (pow x 4)) 1.0)) (exp (* 0.5 (pow x 2)))) (log (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (exp (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (* (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))))) (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (* (* (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (sqrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (sqrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (- (pow (+ (* 0.20833333333333334 (pow x 4)) 1.0) 3) (pow (* 0.5 (pow x 2)) 3)) (+ (* (+ (* 0.20833333333333334 (pow x 4)) 1.0) (+ (* 0.20833333333333334 (pow x 4)) 1.0)) (+ (* (* 0.5 (pow x 2)) (* 0.5 (pow x 2))) (* (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))))) (- (* 0.5 (pow x 2))) (- (* (+ (* 0.20833333333333334 (pow x 4)) 1.0) (+ (* 0.20833333333333334 (pow x 4)) 1.0)) (* (* 0.5 (pow x 2)) (* 0.5 (pow x 2)))) (+ (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- 1.0 (* 0.5 (pow x 2))) (- (* 0.5 (pow x 2))) (+ (log 0.20833333333333334) (* (log x) 4)) (+ (log 0.20833333333333334) (* (log x) 4)) (+ (log 0.20833333333333334) (log (pow x 4))) (log (* 0.20833333333333334 (pow x 4))) (exp (* 0.20833333333333334 (pow x 4))) (* (* (* 0.20833333333333334 0.20833333333333334) 0.20833333333333334) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 0.20833333333333334 (pow x 4))) (cbrt (* 0.20833333333333334 (pow x 4)))) (cbrt (* 0.20833333333333334 (pow x 4))) (* (* (* 0.20833333333333334 (pow x 4)) (* 0.20833333333333334 (pow x 4))) (* 0.20833333333333334 (pow x 4))) (sqrt (* 0.20833333333333334 (pow x 4))) (sqrt (* 0.20833333333333334 (pow x 4))) (* (sqrt 0.20833333333333334) (pow (sqrt x) 4)) (* (sqrt 0.20833333333333334) (pow (sqrt x) 4)) (* (sqrt 0.20833333333333334) (sqrt (pow x 4))) (* (sqrt 0.20833333333333334) (sqrt (pow x 4))) (* (sqrt 0.20833333333333334) (pow x (/ 4 2))) (* (sqrt 0.20833333333333334) (pow x (/ 4 2))) (* 0.20833333333333334 (pow (* (cbrt x) (cbrt x)) 4)) (* 0.20833333333333334 (pow (sqrt x) 4)) (* 0.20833333333333334 (pow 1 4)) (* 0.20833333333333334 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 0.20833333333333334 (sqrt (pow x 4))) (* 0.20833333333333334 1) (* 0.20833333333333334 (pow x (/ 4 2))) (* (cbrt 0.20833333333333334) (pow x 4)) (* (sqrt 0.20833333333333334) (pow x 4)) (* 0.20833333333333334 (pow x 4)) (+ (log 0.5) (* (log x) 2)) (+ (log 0.5) (* (log x) 2)) (+ (log 0.5) (log (pow x 2))) (log (* 0.5 (pow x 2))) (exp (* 0.5 (pow x 2))) (* (* (* 0.5 0.5) 0.5) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (* 0.5 (pow x 2))) (cbrt (* 0.5 (pow x 2)))) (cbrt (* 0.5 (pow x 2))) (* (* (* 0.5 (pow x 2)) (* 0.5 (pow x 2))) (* 0.5 (pow x 2))) (sqrt (* 0.5 (pow x 2))) (sqrt (* 0.5 (pow x 2))) (* (sqrt 0.5) (pow (sqrt x) 2)) (* (sqrt 0.5) (pow (sqrt x) 2)) (* (sqrt 0.5) x) (* (sqrt 0.5) x) (* (sqrt 0.5) (sqrt (pow x 2))) (* (sqrt 0.5) (sqrt (pow x 2))) (* (sqrt 0.5) (pow x (/ 2 2))) (* (sqrt 0.5) (pow x (/ 2 2))) (* 0.5 (pow (* (cbrt x) (cbrt x)) 2)) (* 0.5 (pow (sqrt x) 2)) (* 0.5 (pow 1 2)) (* 0.5 x) (* 0.5 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 0.5 (sqrt (pow x 2))) (* 0.5 1) (* 0.5 (pow x (/ 2 2))) (* (cbrt 0.5) (pow x 2)) (* (sqrt 0.5) (pow x 2)) (* 0.5 (pow x 2)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (* 0.20833333333333334 (pow x 4)) (* 0.20833333333333334 (pow x 4)) (* 0.20833333333333334 (pow x 4)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.688 * * [simplify]: iteration 0 : 268 enodes (cost 352 ) 0.694 * * [simplify]: iteration 1 : 1102 enodes (cost 317 ) 0.718 * * [simplify]: iteration 2 : 5002 enodes (cost 314 ) 0.721 * [simplify]: Simplified to: (exp (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (exp (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (log (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (exp (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (* (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))))) (cbrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (pow (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) 3) (sqrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (sqrt (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (- (pow (+ (* 0.20833333333333334 (pow x 4)) 1.0) 3) (pow (* 0.5 (pow x 2)) 3)) (+ (* (+ (* 0.20833333333333334 (pow x 4)) 1.0) (+ (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2)))) (* (pow x 4) (* 0.5 0.5))) (- (* 0.5 (pow x 2))) (+ (* (- (* 0.5 0.5)) (pow x 4)) (* (+ (* 0.20833333333333334 (pow x 4)) 1.0) (+ (* 0.20833333333333334 (pow x 4)) 1.0))) (+ (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- 1.0 (* 0.5 (pow x 2))) (- (* 0.5 (pow x 2))) (log (* 0.20833333333333334 (pow x 4))) (log (* 0.20833333333333334 (pow x 4))) (log (* 0.20833333333333334 (pow x 4))) (log (* 0.20833333333333334 (pow x 4))) (exp (* 0.20833333333333334 (pow x 4))) (pow (* 0.20833333333333334 (pow x 4)) 3) (* (cbrt (* 0.20833333333333334 (pow x 4))) (cbrt (* 0.20833333333333334 (pow x 4)))) (cbrt (* 0.20833333333333334 (pow x 4))) (pow (* 0.20833333333333334 (pow x 4)) 3) (sqrt (* 0.20833333333333334 (pow x 4))) (sqrt (* 0.20833333333333334 (pow x 4))) (* (sqrt 0.20833333333333334) (pow x 2)) (* (sqrt 0.20833333333333334) (pow x 2)) (* (sqrt 0.20833333333333334) (sqrt (pow x 4))) (* (sqrt 0.20833333333333334) (sqrt (pow x 4))) (* (sqrt 0.20833333333333334) (pow x 2)) (* (sqrt 0.20833333333333334) (pow x 2)) (* 0.20833333333333334 (pow (* (cbrt x) (cbrt x)) 4)) (* 0.20833333333333334 (pow x 2)) 0.20833333333333334 (* 0.20833333333333334 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 0.20833333333333334 (sqrt (pow x 4))) 0.20833333333333334 (* 0.20833333333333334 (pow x 2)) (* (cbrt 0.20833333333333334) (pow x 4)) (* (sqrt 0.20833333333333334) (pow x 4)) (* 0.20833333333333334 (pow x 4)) (log (* 0.5 (pow x 2))) (log (* 0.5 (pow x 2))) (log (* 0.5 (pow x 2))) (log (* 0.5 (pow x 2))) (exp (* 0.5 (pow x 2))) (pow (* 0.5 (pow x 2)) 3) (* (cbrt (* 0.5 (pow x 2))) (cbrt (* 0.5 (pow x 2)))) (cbrt (* 0.5 (pow x 2))) (pow (* 0.5 (pow x 2)) 3) (sqrt (* 0.5 (pow x 2))) (sqrt (* 0.5 (pow x 2))) (* x (sqrt 0.5)) (* x (sqrt 0.5)) (* x (sqrt 0.5)) (* x (sqrt 0.5)) (* (sqrt 0.5) (sqrt (pow x 2))) (* (sqrt 0.5) (sqrt (pow x 2))) (* x (sqrt 0.5)) (* x (sqrt 0.5)) (* 0.5 (pow (* (cbrt x) (cbrt x)) 2)) (* x 0.5) 0.5 (* x 0.5) (* 0.5 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 0.5 (fabs x)) 0.5 (* x 0.5) (* (cbrt 0.5) (pow x 2)) (* (sqrt 0.5) (pow x 2)) (* 0.5 (pow x 2)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (* 0.20833333333333334 (pow x 4)) (* 0.20833333333333334 (pow x 4)) (* 0.20833333333333334 (pow x 4)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.721 * * * [progress]: adding candidates to table 0.833 * [progress]: [Phase 3 of 3] Extracting. 0.833 * * [regime]: Finding splitpoints for: (# #) 0.833 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 0.833 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 0.850 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 0.864 * * * * [regimes]: Trying to branch on x from (# #) 0.874 * * * [regime]: Found split indices: #