8.667 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying: (/ 2.0 (+ (exp x) (exp (- x)))) 0.014 * [simplify]: Sending expressions to egg_math: (/ h1 (+ (exp h0) (exp (- h0)))) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.017 * * [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 : 41 enodes (cost 5 ) 0.024 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.026 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.034 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.225 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.227 * * [progress]: iteration 1 / 4 0.227 * * * [progress]: picking best candidate 0.228 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.246 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.272 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.272 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.272 * [taylor]: Taking taylor expansion of (exp x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (exp 0) into 1 0.272 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.272 * [taylor]: Taking taylor expansion of (- x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (exp 0) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.273 * [taylor]: Taking taylor expansion of (exp x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (exp 0) into 1 0.273 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.273 * [taylor]: Taking taylor expansion of (- x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (exp 0) into 1 0.274 * [backup-simplify]: Simplify (+ 1 1) into 2 0.274 * [backup-simplify]: Simplify 2 into 2 0.274 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.276 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.278 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (- 1) into -1 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.282 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.284 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.287 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.287 * [backup-simplify]: Simplify 1/12 into 1/12 0.288 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.288 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.288 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.288 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.288 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.288 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (- 1) into -1 0.289 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.289 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.289 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.290 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.290 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.292 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.292 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.292 * [taylor]: Taking taylor expansion of -1 in x 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ -1 1) into -1 0.292 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.292 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.292 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [backup-simplify]: Simplify -1 into -1 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ -1 1) into -1 0.293 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.293 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.293 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.295 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.295 * [backup-simplify]: Simplify (/ 2.0 (+ (exp x) (exp (- x)))) into (/ 2.0 (+ (exp x) (exp (- x)))) 0.295 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.295 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [backup-simplify]: Simplify 2.0 into 2.0 0.295 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.295 * [taylor]: Taking taylor expansion of (exp x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (exp 0) into 1 0.295 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.295 * [taylor]: Taking taylor expansion of (- x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.296 * [backup-simplify]: Simplify (exp 0) into 1 0.296 * [backup-simplify]: Simplify (+ 1 1) into 2 0.296 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.296 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.296 * [taylor]: Taking taylor expansion of (exp x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (exp 0) into 1 0.296 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.296 * [taylor]: Taking taylor expansion of (- x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (- 1) into -1 0.297 * [backup-simplify]: Simplify (exp 0) into 1 0.297 * [backup-simplify]: Simplify (+ 1 1) into 2 0.297 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.299 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.299 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.300 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.302 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.304 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 0.304 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.305 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.308 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (- 1) into -1 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.314 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.318 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 0.318 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 0.319 * [backup-simplify]: Simplify (+ (* 0.20833333333333334 (pow x 4)) (+ (* (- 0.5) (pow x 2)) 1.0)) into (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) 0.319 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.319 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.319 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.319 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (- 1) into -1 0.320 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.320 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.320 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.320 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.320 * [taylor]: Taking taylor expansion of 2.0 in x 0.320 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.320 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.321 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (- 1) into -1 0.321 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.321 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.321 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.321 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2.0 (+ (exp x) (exp (- x)))) 0.327 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.327 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.327 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.327 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.327 * [taylor]: Taking taylor expansion of -1 in x 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ -1 1) into -1 0.328 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.328 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.328 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.328 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.328 * [taylor]: Taking taylor expansion of 2.0 in x 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.328 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.328 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.328 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.328 * [backup-simplify]: Simplify -1 into -1 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ -1 1) into -1 0.329 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.329 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.329 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.329 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.337 * * * [progress]: simplifying candidates 0.338 * [simplify]: Simplifying: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (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))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (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))))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 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))) 0.339 * [simplify]: Sending expressions to egg_math: (expm1 (+ (exp h0) (exp (- h0)))) (log1p (+ (exp h0) (exp (- h0)))) (* (exp (exp h0)) (exp (exp (- h0)))) (log (+ (exp h0) (exp (- h0)))) (exp (+ (exp h0) (exp (- h0)))) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))) (cbrt (+ (exp h0) (exp (- h0)))) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (+ (pow (exp h0) 3) (pow (exp (- h0)) 3)) (+ (* (exp h0) (exp h0)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp (- h0))))) (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0)))) (- (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0))) (expm1 (/ h1 (+ (exp h0) (exp (- h0))))) (log1p (/ h1 (+ (exp h0) (exp (- h0))))) (- (log h1) (log (+ (exp h0) (exp (- h0))))) (log (/ h1 (+ (exp h0) (exp (- h0))))) (exp (/ h1 (+ (exp h0) (exp (- h0))))) (/ (* (* h1 h1) h1) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0))))) (* (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0)))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (* (* (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp h0) (exp (- h0))))) (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (- h1) (- (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (cbrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (cbrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ 1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (cbrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 (+ (exp h0) (exp (- h0)))) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 1) (/ h1 1) (/ (+ (exp h0) (exp (- h0))) (cbrt h1)) (/ (+ (exp h0) (exp (- h0))) (sqrt h1)) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (+ (pow (exp h0) 3) (pow (exp (- h0)) 3))) (/ h1 (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0))))) (+ (pow h0 2) (+ (* 1/12 (pow h0 4)) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) 0.342 * * [simplify]: iteration 0 : 200 enodes (cost 433 ) 0.346 * * [simplify]: iteration 1 : 666 enodes (cost 397 ) 0.358 * * [simplify]: iteration 2 : 3139 enodes (cost 394 ) 0.453 * * [simplify]: iteration 3 : 5001 enodes (cost 393 ) 0.455 * * * [progress]: adding candidates to table 0.572 * * [progress]: iteration 2 / 4 0.572 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.575 * * * [progress]: localizing error 0.584 * * * [progress]: generating rewritten candidates 0.584 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.598 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.610 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.634 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.669 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.669 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.669 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.669 * [taylor]: Taking taylor expansion of (exp x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (exp 0) into 1 0.669 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.669 * [taylor]: Taking taylor expansion of (- x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [backup-simplify]: Simplify (exp 0) into 1 0.670 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.670 * [taylor]: Taking taylor expansion of (exp x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (exp 0) into 1 0.670 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.670 * [taylor]: Taking taylor expansion of (- x) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [backup-simplify]: Simplify (- 1) into -1 0.670 * [backup-simplify]: Simplify (exp 0) into 1 0.671 * [backup-simplify]: Simplify (+ 1 1) into 2 0.671 * [backup-simplify]: Simplify 2 into 2 0.671 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.671 * [backup-simplify]: Simplify (- 1) into -1 0.672 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.672 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.673 * [backup-simplify]: Simplify (- 1) into -1 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.675 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.675 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.675 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.676 * [backup-simplify]: Simplify (- 1) into -1 0.677 * [backup-simplify]: Simplify (- 1) into -1 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.678 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.678 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.681 * [backup-simplify]: Simplify (- 1) into -1 0.681 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.684 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.684 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.684 * [backup-simplify]: Simplify 1/12 into 1/12 0.684 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.685 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.685 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.685 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.685 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.685 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.685 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (- 1) into -1 0.686 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.686 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.686 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.686 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.686 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (- 1) into -1 0.687 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.687 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.687 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.689 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.689 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.689 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.689 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.689 * [taylor]: Taking taylor expansion of -1 in x 0.689 * [backup-simplify]: Simplify -1 into -1 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ -1 1) into -1 0.689 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.689 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.690 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.690 * [taylor]: Taking taylor expansion of -1 in x 0.690 * [backup-simplify]: Simplify -1 into -1 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ -1 1) into -1 0.690 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.690 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.690 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.692 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 0.692 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.692 * [taylor]: Taking taylor expansion of (exp x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (exp 0) into 1 0.692 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.692 * [taylor]: Taking taylor expansion of (- x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (- 1) into -1 0.693 * [backup-simplify]: Simplify (exp 0) into 1 0.693 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.693 * [taylor]: Taking taylor expansion of (exp x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (exp 0) into 1 0.693 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.693 * [taylor]: Taking taylor expansion of (- x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (- 0) into 0 0.693 * [backup-simplify]: Simplify (- 1) into -1 0.693 * [backup-simplify]: Simplify (exp 0) into 1 0.694 * [backup-simplify]: Simplify (+ 1 1) into 2 0.694 * [backup-simplify]: Simplify 2 into 2 0.694 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.694 * [backup-simplify]: Simplify (- 1) into -1 0.695 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.695 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.695 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.696 * [backup-simplify]: Simplify (- 1) into -1 0.697 * [backup-simplify]: Simplify (- 0) into 0 0.698 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.698 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.699 * [backup-simplify]: Simplify (- 1) into -1 0.699 * [backup-simplify]: Simplify (- 1) into -1 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.700 * [backup-simplify]: Simplify (- 0) into 0 0.701 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.701 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.701 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.703 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.704 * [backup-simplify]: Simplify (- 1) into -1 0.704 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.707 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.707 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.707 * [backup-simplify]: Simplify 1/12 into 1/12 0.707 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 0.707 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.707 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.707 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.707 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.708 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.708 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [backup-simplify]: Simplify (- 1) into -1 0.708 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.708 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.708 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.709 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (- 1) into -1 0.709 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.710 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.710 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 0.711 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.711 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.712 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [backup-simplify]: Simplify -1 into -1 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ -1 1) into -1 0.712 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.712 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.712 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.713 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [backup-simplify]: Simplify -1 into -1 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ -1 1) into -1 0.713 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.713 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.713 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 0.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.715 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) 0.715 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.715 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.715 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.715 * [taylor]: Taking taylor expansion of 2.0 in x 0.715 * [backup-simplify]: Simplify 2.0 into 2.0 0.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.716 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.716 * [taylor]: Taking taylor expansion of (exp x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (exp 0) into 1 0.716 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.716 * [taylor]: Taking taylor expansion of (- x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (- 1) into -1 0.717 * [backup-simplify]: Simplify (exp 0) into 1 0.717 * [backup-simplify]: Simplify (+ 1 1) into 2 0.717 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.717 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.718 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.718 * [backup-simplify]: Simplify (- 1) into -1 0.719 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.719 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.720 * [taylor]: Taking taylor expansion of 2.0 in x 0.720 * [backup-simplify]: Simplify 2.0 into 2.0 0.720 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.721 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.721 * [taylor]: Taking taylor expansion of (exp x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (exp 0) into 1 0.721 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.721 * [taylor]: Taking taylor expansion of (- x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (- 1) into -1 0.721 * [backup-simplify]: Simplify (exp 0) into 1 0.721 * [backup-simplify]: Simplify (+ 1 1) into 2 0.722 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.722 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.722 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.723 * [backup-simplify]: Simplify (- 1) into -1 0.723 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.724 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.725 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.726 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.727 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.728 * [backup-simplify]: Simplify (- 1) into -1 0.728 * [backup-simplify]: Simplify (- 0) into 0 0.729 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.729 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.729 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 0.731 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 0.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.738 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) 0.740 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) 0.741 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.741 * [backup-simplify]: Simplify (- 1) into -1 0.741 * [backup-simplify]: Simplify (- 1) into -1 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.742 * [backup-simplify]: Simplify (- 0) into 0 0.743 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.743 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 0.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 0.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.749 * [backup-simplify]: Simplify (- 1) into -1 0.749 * [backup-simplify]: Simplify (- 1) into -1 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.749 * [backup-simplify]: Simplify (- 1) into -1 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.752 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.753 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 0.756 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 0.757 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.765 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) 0.769 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) 0.776 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2.0) (sqrt 1/2)))) into (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) 0.776 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.776 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.776 * [taylor]: Taking taylor expansion of 2.0 in x 0.776 * [backup-simplify]: Simplify 2.0 into 2.0 0.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.777 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.777 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.777 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (- 1) into -1 0.778 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.778 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.778 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.778 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.779 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.779 * [taylor]: Taking taylor expansion of 2.0 in x 0.779 * [backup-simplify]: Simplify 2.0 into 2.0 0.779 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.780 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.780 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (- 1) into -1 0.781 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.781 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.781 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.781 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.782 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.782 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.783 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.785 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.788 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.790 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.791 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.794 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.796 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.797 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.798 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) 0.799 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.799 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.799 * [taylor]: Taking taylor expansion of 2.0 in x 0.799 * [backup-simplify]: Simplify 2.0 into 2.0 0.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.800 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [backup-simplify]: Simplify -1 into -1 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ -1 1) into -1 0.800 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.800 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.800 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.801 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.801 * [taylor]: Taking taylor expansion of 2.0 in x 0.801 * [backup-simplify]: Simplify 2.0 into 2.0 0.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.802 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [backup-simplify]: Simplify -1 into -1 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (/ -1 1) into -1 0.803 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.803 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.803 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.803 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.804 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.804 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.805 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.810 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.811 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.813 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.816 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.820 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 0.823 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) 0.823 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.824 * [taylor]: Taking taylor expansion of 2.0 in x 0.824 * [backup-simplify]: Simplify 2.0 into 2.0 0.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.824 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.824 * [taylor]: Taking taylor expansion of (exp x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (exp 0) into 1 0.824 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.824 * [taylor]: Taking taylor expansion of (- x) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (- 0) into 0 0.825 * [backup-simplify]: Simplify (- 1) into -1 0.825 * [backup-simplify]: Simplify (exp 0) into 1 0.825 * [backup-simplify]: Simplify (+ 1 1) into 2 0.825 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.826 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.826 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.826 * [backup-simplify]: Simplify (- 1) into -1 0.827 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.827 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.828 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) in x 0.828 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.828 * [taylor]: Taking taylor expansion of 2.0 in x 0.828 * [backup-simplify]: Simplify 2.0 into 2.0 0.828 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp x) (exp (- x))))) in x 0.829 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp x) (exp (- x)))) in x 0.829 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.829 * [taylor]: Taking taylor expansion of (exp x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (exp 0) into 1 0.829 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.829 * [taylor]: Taking taylor expansion of (- x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (- 0) into 0 0.829 * [backup-simplify]: Simplify (- 1) into -1 0.829 * [backup-simplify]: Simplify (exp 0) into 1 0.829 * [backup-simplify]: Simplify (+ 1 1) into 2 0.830 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.830 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.830 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.831 * [backup-simplify]: Simplify (- 1) into -1 0.831 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.831 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.833 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.834 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.834 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.835 * [backup-simplify]: Simplify (- 1) into -1 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.837 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.837 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 2)) (* 0 (/ 0 2)))) into -1/4 0.839 * [backup-simplify]: Simplify (/ (- -1/4 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/8 (sqrt 1/2)) 0.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.842 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) 0.843 * [backup-simplify]: Simplify (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) 0.845 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.845 * [backup-simplify]: Simplify (- 1) into -1 0.845 * [backup-simplify]: Simplify (- 1) into -1 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.847 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 1 2)) (* -1/4 (/ 0 2)))) into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.850 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.852 * [backup-simplify]: Simplify (- 1) into -1 0.853 * [backup-simplify]: Simplify (- 1) into -1 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (- 1) into -1 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.853 * [backup-simplify]: Simplify (- 0) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.856 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.857 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/4 (/ 1 2)) (* 0 (/ 0 2)))) into 5/48 0.860 * [backup-simplify]: Simplify (/ (- 5/48 (pow (/ -1/8 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 0.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.869 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ (- 5/48 (* 1/64 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* 0 (/ -1/8 (sqrt 1/2))) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) 0.872 * [backup-simplify]: Simplify (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) into (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) 0.879 * [backup-simplify]: Simplify (+ (* (- (* 5/96 (/ (sqrt 2.0) (sqrt 1/2))) (* 1/128 (/ (sqrt 2.0) (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/8 (/ (sqrt 2.0) (sqrt 1/2)))) (pow x 2)) (* (sqrt 2.0) (sqrt 1/2)))) into (- (+ (* 5/96 (/ (* (pow x 4) (sqrt 2.0)) (sqrt 1/2))) (* (sqrt 2.0) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow x 4) (sqrt 2.0)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt 2.0) (pow x 2)) (sqrt 1/2))))) 0.879 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.880 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.880 * [taylor]: Taking taylor expansion of 2.0 in x 0.880 * [backup-simplify]: Simplify 2.0 into 2.0 0.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.880 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.880 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.881 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (- 1) into -1 0.881 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.881 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.881 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.882 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.882 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.882 * [taylor]: Taking taylor expansion of 2.0 in x 0.882 * [backup-simplify]: Simplify 2.0 into 2.0 0.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.883 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.883 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.883 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [backup-simplify]: Simplify (- 1) into -1 0.884 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.884 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.884 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.884 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.885 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.886 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 0.886 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.888 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.891 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))) into 0 0.891 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.895 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.898 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))))))) into 0 0.898 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 0.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.902 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))))))))) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp x) (exp (- x)))))) 0.903 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.903 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.903 * [taylor]: Taking taylor expansion of 2.0 in x 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.904 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [backup-simplify]: Simplify -1 into -1 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (/ -1 1) into -1 0.904 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.904 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.905 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.908 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.908 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.908 * [taylor]: Taking taylor expansion of 2.0 in x 0.908 * [backup-simplify]: Simplify 2.0 into 2.0 0.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.909 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.909 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.909 * [taylor]: Taking taylor expansion of -1 in x 0.909 * [backup-simplify]: Simplify -1 into -1 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ -1 1) into -1 0.910 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.910 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.910 * [backup-simplify]: Simplify (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.910 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))) 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.911 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.911 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 0.912 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.914 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.917 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.920 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.923 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.927 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))))) into (* (sqrt 2.0) (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) 0.927 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (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))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (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))) (expm1 (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (log1p (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (- (log (sqrt 2.0)) (log (sqrt (+ (exp x) (exp (- x)))))) (log (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (exp (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))))) (cbrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (* (* (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (/ 2.0 (+ (exp x) (exp (- x)))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x)))))) (- (sqrt 2.0)) (- (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (cbrt (sqrt 2.0)) (cbrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (/ (cbrt (sqrt 2.0)) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1)) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt 1)) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2.0)) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (/ (sqrt 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(exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt (sqrt h1)) (sqrt (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt 1)) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (sqrt h1)) (sqrt 1)) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) 1) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt 1) (* (cbrt (sqrt (+ (exp h0) (exp (- h0))))) (cbrt (sqrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (cbrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt 1) (sqrt (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (sqrt (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt 1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt 1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt 1) 1) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (sqrt h1)) (* (cbrt (sqrt (+ (exp h0) (exp (- h0))))) (cbrt (sqrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt (sqrt h1)) (cbrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt (sqrt h1)) (sqrt (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt 1)) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (sqrt h1)) (sqrt 1)) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt (sqrt h1)) 1) (/ (sqrt (sqrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 (* (cbrt (sqrt (+ (exp h0) (exp (- h0))))) (cbrt (sqrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (cbrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ 1 (sqrt (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (sqrt (cbrt (+ (exp h0) (exp (- h0)))))) (/ 1 (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ 1 (sqrt 1)) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt 1)) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ 1 1) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt h1)) (/ (sqrt h1) (* (cbrt (sqrt (+ (exp h0) (exp (- h0))))) (cbrt (sqrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (sqrt (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))))) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (sqrt (sqrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) 1) (/ (sqrt (+ (exp h0) (exp (- h0)))) (cbrt (sqrt h1))) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (cbrt h1))) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (sqrt h1))) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt h1)) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (sqrt h1))) (/ (sqrt (+ (exp h0) (exp (- h0)))) (sqrt h1)) (/ (sqrt h1) (sqrt (+ (pow (exp h0) 3) (pow (exp (- h0)) 3)))) (/ (sqrt h1) (sqrt (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0)))))) (+ (pow h0 2) (+ (* 1/12 (pow h0 4)) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (+ (pow h0 2) (+ (* 1/12 (pow h0 4)) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (- (+ (* 5/96 (/ (* (pow h0 4) (sqrt h1)) (sqrt 1/2))) (* (sqrt h1) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow h0 4) (sqrt h1)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt h1) (pow h0 2)) (sqrt 1/2))))) (* (sqrt h1) (sqrt (/ 1 (+ (exp h0) (exp (- h0)))))) (* (sqrt h1) (sqrt (/ 1 (+ (exp (* -1 h0)) (exp h0))))) (- (+ (* 5/96 (/ (* (pow h0 4) (sqrt h1)) (sqrt 1/2))) (* (sqrt h1) (sqrt 1/2))) (+ (* 1/128 (/ (* (pow h0 4) (sqrt h1)) (pow (sqrt 1/2) 3))) (* 1/8 (/ (* (sqrt h1) (pow h0 2)) (sqrt 1/2))))) (* (sqrt h1) (sqrt (/ 1 (+ (exp h0) (exp (- h0)))))) (* (sqrt h1) (sqrt (/ 1 (+ (exp (* -1 h0)) (exp h0))))) 0.938 * * [simplify]: iteration 0 : 295 enodes (cost 2220 ) 0.943 * * [simplify]: iteration 1 : 990 enodes (cost 2076 ) 0.963 * * [simplify]: iteration 2 : 5001 enodes (cost 1992 ) 0.971 * * * [progress]: adding candidates to table 1.368 * * [progress]: iteration 3 / 4 1.368 * * * [progress]: picking best candidate 1.370 * * * * [pick]: Picked # 1.370 * * * [progress]: localizing error 1.378 * * * [progress]: generating rewritten candidates 1.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.391 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.426 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.450 * * * [progress]: generating series expansions 1.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.450 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 1.451 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.451 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.451 * [taylor]: Taking taylor expansion of (exp x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (exp 0) into 1 1.451 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.451 * [taylor]: Taking taylor expansion of (- x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 1 into 1 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (- 1) into -1 1.451 * [backup-simplify]: Simplify (exp 0) into 1 1.451 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.452 * [taylor]: Taking taylor expansion of (exp x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (exp 0) into 1 1.452 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.452 * [taylor]: Taking taylor expansion of (- x) in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (- 1) into -1 1.452 * [backup-simplify]: Simplify (exp 0) into 1 1.452 * [backup-simplify]: Simplify (+ 1 1) into 2 1.452 * [backup-simplify]: Simplify 2 into 2 1.453 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.453 * [backup-simplify]: Simplify (- 1) into -1 1.454 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.454 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.455 * [backup-simplify]: Simplify (- 1) into -1 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.457 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.457 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.458 * [backup-simplify]: Simplify (- 1) into -1 1.458 * [backup-simplify]: Simplify (- 1) into -1 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.460 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.463 * [backup-simplify]: Simplify (- 1) into -1 1.463 * [backup-simplify]: Simplify (- 1) into -1 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.463 * [backup-simplify]: Simplify (- 1) into -1 1.463 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.464 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.466 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.466 * [backup-simplify]: Simplify 1/12 into 1/12 1.466 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 1.466 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.466 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.466 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.466 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.467 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.467 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (- 1) into -1 1.467 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.467 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.467 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (/ 1 1) into 1 1.468 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.468 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.468 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (/ 1 1) into 1 1.468 * [backup-simplify]: Simplify (- 1) into -1 1.468 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.469 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.469 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 1.470 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.470 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.470 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.470 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ 1 1) into 1 1.471 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.471 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.471 * [taylor]: Taking taylor expansion of -1 in x 1.471 * [backup-simplify]: Simplify -1 into -1 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ -1 1) into -1 1.471 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.471 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.471 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (/ 1 1) into 1 1.474 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.474 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.474 * [taylor]: Taking taylor expansion of -1 in x 1.474 * [backup-simplify]: Simplify -1 into -1 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ -1 1) into -1 1.475 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.475 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.475 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 1.476 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.477 * [backup-simplify]: Simplify (+ (exp x) (exp (- x))) into (+ (exp x) (exp (- x))) 1.477 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.477 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.477 * [taylor]: Taking taylor expansion of (exp x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (exp 0) into 1 1.477 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.477 * [taylor]: Taking taylor expansion of (- x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (- 1) into -1 1.477 * [backup-simplify]: Simplify (exp 0) into 1 1.477 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.477 * [taylor]: Taking taylor expansion of (exp x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (exp 0) into 1 1.477 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.477 * [taylor]: Taking taylor expansion of (- x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (- 1) into -1 1.478 * [backup-simplify]: Simplify (exp 0) into 1 1.478 * [backup-simplify]: Simplify (+ 1 1) into 2 1.478 * [backup-simplify]: Simplify 2 into 2 1.479 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.479 * [backup-simplify]: Simplify (- 1) into -1 1.479 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.480 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.481 * [backup-simplify]: Simplify (- 1) into -1 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.482 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.482 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.483 * [backup-simplify]: Simplify (- 1) into -1 1.484 * [backup-simplify]: Simplify (- 1) into -1 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (- 0) into 0 1.485 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.486 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.488 * [backup-simplify]: Simplify (- 1) into -1 1.488 * [backup-simplify]: Simplify (- 1) into -1 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (- 1) into -1 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (- 0) into 0 1.491 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.491 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.491 * [backup-simplify]: Simplify 1/12 into 1/12 1.492 * [backup-simplify]: Simplify (+ (* 1/12 (pow x 4)) (+ (* 1 (pow x 2)) 2)) into (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 1.492 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.492 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.492 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.492 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.492 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (- 1) into -1 1.493 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.493 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.493 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.493 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.493 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.494 * [backup-simplify]: Simplify (- 1) into -1 1.494 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.494 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.494 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x))))) into (+ (exp x) (exp (- x))) 1.496 * [backup-simplify]: Simplify (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.496 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.496 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (/ 1 1) into 1 1.496 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.496 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.496 * [taylor]: Taking taylor expansion of -1 in x 1.496 * [backup-simplify]: Simplify -1 into -1 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (/ -1 1) into -1 1.497 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.497 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.497 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.497 * [taylor]: Taking taylor expansion of -1 in x 1.497 * [backup-simplify]: Simplify -1 into -1 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ -1 1) into -1 1.497 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.497 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.498 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) into (+ (exp (* -1 x)) (exp x)) 1.499 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.499 * [backup-simplify]: Simplify (/ 2.0 (+ (exp x) (exp (- x)))) into (/ 2.0 (+ (exp x) (exp (- x)))) 1.499 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.499 * [taylor]: Taking taylor expansion of 2.0 in x 1.499 * [backup-simplify]: Simplify 2.0 into 2.0 1.499 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.499 * [taylor]: Taking taylor expansion of (exp x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (exp 0) into 1 1.499 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.499 * [taylor]: Taking taylor expansion of (- x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (- 1) into -1 1.500 * [backup-simplify]: Simplify (exp 0) into 1 1.500 * [backup-simplify]: Simplify (+ 1 1) into 2 1.500 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 1.500 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.500 * [taylor]: Taking taylor expansion of 2.0 in x 1.500 * [backup-simplify]: Simplify 2.0 into 2.0 1.500 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.500 * [taylor]: Taking taylor expansion of (exp x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (exp 0) into 1 1.501 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.501 * [taylor]: Taking taylor expansion of (- x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.501 * [backup-simplify]: Simplify (- 1) into -1 1.501 * [backup-simplify]: Simplify (exp 0) into 1 1.501 * [backup-simplify]: Simplify (+ 1 1) into 2 1.502 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 1.502 * [backup-simplify]: Simplify 1.0 into 1.0 1.502 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.502 * [backup-simplify]: Simplify (- 1) into -1 1.503 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.503 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.504 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.505 * [backup-simplify]: Simplify (- 1) into -1 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.506 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.508 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 1.508 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.510 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.510 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (- 1) into -1 1.510 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.512 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.512 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.513 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.515 * [backup-simplify]: Simplify (- 1) into -1 1.515 * [backup-simplify]: Simplify (- 1) into -1 1.515 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (- 1) into -1 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.516 * [backup-simplify]: Simplify (- 0) into 0 1.518 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.518 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.522 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 1.522 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 1.523 * [backup-simplify]: Simplify (+ (* 0.20833333333333334 (pow x 4)) (+ (* (- 0.5) (pow x 2)) 1.0)) into (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) 1.523 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.523 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.523 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.523 * [taylor]: Taking taylor expansion of 2.0 in x 1.523 * [backup-simplify]: Simplify 2.0 into 2.0 1.523 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.523 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.523 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.523 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (/ 1 1) into 1 1.524 * [backup-simplify]: Simplify (- 1) into -1 1.524 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.524 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.524 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.524 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.524 * [taylor]: Taking taylor expansion of 2.0 in x 1.524 * [backup-simplify]: Simplify 2.0 into 2.0 1.524 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.524 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.525 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.525 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [backup-simplify]: Simplify (- 1) into -1 1.525 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.525 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.525 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.526 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2.0 (+ (exp x) (exp (- x)))) 1.531 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.531 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.531 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.531 * [taylor]: Taking taylor expansion of 2.0 in x 1.531 * [backup-simplify]: Simplify 2.0 into 2.0 1.531 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.531 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (/ 1 1) into 1 1.532 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.532 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.532 * [taylor]: Taking taylor expansion of -1 in x 1.532 * [backup-simplify]: Simplify -1 into -1 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (/ -1 1) into -1 1.532 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.532 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.532 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.532 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.532 * [taylor]: Taking taylor expansion of 2.0 in x 1.532 * [backup-simplify]: Simplify 2.0 into 2.0 1.532 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.532 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (/ 1 1) into 1 1.533 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.533 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.533 * [taylor]: Taking taylor expansion of -1 in x 1.533 * [backup-simplify]: Simplify -1 into -1 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (/ -1 1) into -1 1.533 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.533 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.533 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.534 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.539 * [backup-simplify]: Simplify (/ 2.0 (+ (exp x) (exp (- x)))) into (/ 2.0 (+ (exp x) (exp (- x)))) 1.539 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 1.539 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.539 * [taylor]: Taking taylor expansion of 2.0 in x 1.539 * [backup-simplify]: Simplify 2.0 into 2.0 1.539 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.539 * [taylor]: Taking taylor expansion of (exp x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (exp 0) into 1 1.539 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.539 * [taylor]: Taking taylor expansion of (- x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.539 * [backup-simplify]: Simplify (- 1) into -1 1.539 * [backup-simplify]: Simplify (exp 0) into 1 1.540 * [backup-simplify]: Simplify (+ 1 1) into 2 1.540 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 1.540 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.540 * [taylor]: Taking taylor expansion of 2.0 in x 1.540 * [backup-simplify]: Simplify 2.0 into 2.0 1.540 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.540 * [taylor]: Taking taylor expansion of (exp x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (exp 0) into 1 1.540 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.540 * [taylor]: Taking taylor expansion of (- x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (- 0) into 0 1.541 * [backup-simplify]: Simplify (- 1) into -1 1.541 * [backup-simplify]: Simplify (exp 0) into 1 1.541 * [backup-simplify]: Simplify (+ 1 1) into 2 1.541 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 1.541 * [backup-simplify]: Simplify 1.0 into 1.0 1.542 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.542 * [backup-simplify]: Simplify (- 1) into -1 1.542 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.543 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.544 * [backup-simplify]: Simplify (- 1) into -1 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.546 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.548 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 1.548 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.549 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 1.549 * [backup-simplify]: Simplify (- 1) into -1 1.550 * [backup-simplify]: Simplify (- 1) into -1 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.551 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 1.552 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.555 * [backup-simplify]: Simplify (- 1) into -1 1.555 * [backup-simplify]: Simplify (- 1) into -1 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (- 1) into -1 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.556 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 1.558 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 1.565 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 1.565 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 1.565 * [backup-simplify]: Simplify (+ (* 0.20833333333333334 (pow x 4)) (+ (* (- 0.5) (pow x 2)) 1.0)) into (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) 1.566 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.566 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.566 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.566 * [taylor]: Taking taylor expansion of 2.0 in x 1.566 * [backup-simplify]: Simplify 2.0 into 2.0 1.566 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.566 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.566 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [backup-simplify]: Simplify (- 1) into -1 1.567 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.567 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.567 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.567 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.567 * [taylor]: Taking taylor expansion of 2.0 in x 1.567 * [backup-simplify]: Simplify 2.0 into 2.0 1.567 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.567 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ 1 1) into 1 1.567 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.567 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.567 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [backup-simplify]: Simplify (- 1) into -1 1.568 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 1.568 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 1.568 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.568 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2.0 (+ (exp x) (exp (- x)))) 1.574 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.574 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.574 * [taylor]: Taking taylor expansion of 2.0 in x 1.574 * [backup-simplify]: Simplify 2.0 into 2.0 1.574 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.574 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.574 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.574 * [taylor]: Taking taylor expansion of -1 in x 1.574 * [backup-simplify]: Simplify -1 into -1 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (/ -1 1) into -1 1.574 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.574 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.575 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.575 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.575 * [taylor]: Taking taylor expansion of 2.0 in x 1.575 * [backup-simplify]: Simplify 2.0 into 2.0 1.575 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.575 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 1.575 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.575 * [taylor]: Taking taylor expansion of -1 in x 1.575 * [backup-simplify]: Simplify -1 into -1 1.575 * [taylor]: Taking taylor expansion of x in x 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (/ -1 1) into -1 1.575 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 1.576 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 1.576 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.576 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) (* 0 (/ 0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1.581 * * * [progress]: simplifying candidates 1.582 * [simplify]: Simplifying: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (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))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (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))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (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))))) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (- (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))))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 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))) (- (+ (* 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))) 1.583 * [simplify]: Sending expressions to egg_math: (expm1 (+ (exp h0) (exp (- h0)))) (log1p (+ (exp h0) (exp (- h0)))) (* (exp (exp h0)) (exp (exp (- h0)))) (log (+ (exp h0) (exp (- h0)))) (exp (+ (exp h0) (exp (- h0)))) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))) (cbrt (+ (exp h0) (exp (- h0)))) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (+ (pow (exp h0) 3) (pow (exp (- h0)) 3)) (+ (* (exp h0) (exp h0)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp (- h0))))) (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0)))) (- (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0))) (expm1 (+ (exp h0) (exp (- h0)))) (log1p (+ (exp h0) (exp (- h0)))) (* (exp (exp h0)) (exp (exp (- h0)))) (log (+ (exp h0) (exp (- h0)))) (exp (+ (exp h0) (exp (- h0)))) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0))))) (cbrt (+ (exp h0) (exp (- h0)))) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (sqrt (+ (exp h0) (exp (- h0)))) (+ (pow (exp h0) 3) (pow (exp (- h0)) 3)) (+ (* (exp h0) (exp h0)) (- (* (exp (- h0)) (exp (- h0))) (* (exp h0) (exp (- h0))))) (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0)))) (- (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0))) (expm1 (/ h1 (+ (exp h0) (exp (- h0))))) (log1p (/ h1 (+ (exp h0) (exp (- h0))))) (- (log h1) (log (+ (exp h0) (exp (- h0))))) (log (/ h1 (+ (exp h0) (exp (- h0))))) (exp (/ h1 (+ (exp h0) (exp (- h0))))) (/ (* (* h1 h1) h1) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0))))) (* (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0)))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (* (* (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp h0) (exp (- h0))))) (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (- h1) (- (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (cbrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (cbrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ 1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (cbrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 (+ (exp h0) (exp (- h0)))) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 1) (/ h1 1) (/ (+ (exp h0) (exp (- h0))) (cbrt h1)) (/ (+ (exp h0) (exp (- h0))) (sqrt h1)) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (+ (pow (exp h0) 3) (pow (exp (- h0)) 3))) (/ h1 (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0))))) (expm1 (/ h1 (+ (exp h0) (exp (- h0))))) (log1p (/ h1 (+ (exp h0) (exp (- h0))))) (- (log h1) (log (+ (exp h0) (exp (- h0))))) (log (/ h1 (+ (exp h0) (exp (- h0))))) (exp (/ h1 (+ (exp h0) (exp (- h0))))) (/ (* (* h1 h1) h1) (* (* (+ (exp h0) (exp (- h0))) (+ (exp h0) (exp (- h0)))) (+ (exp h0) (exp (- h0))))) (* (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0)))))) (cbrt (/ h1 (+ (exp h0) (exp (- h0))))) (* (* (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp h0) (exp (- h0))))) (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (sqrt (/ h1 (+ (exp h0) (exp (- h0))))) (- h1) (- (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (cbrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (exp h0) (exp (- h0))))) (/ (cbrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ (sqrt h1) (cbrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) (sqrt (+ (exp h0) (exp (- h0))))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (exp h0) (exp (- h0)))) (/ 1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (cbrt (+ (exp h0) (exp (- h0))))) (/ 1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 1) (/ h1 (+ (exp h0) (exp (- h0)))) (/ 1 (+ (exp h0) (exp (- h0)))) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (* (cbrt (+ (exp h0) (exp (- h0)))) (cbrt (+ (exp h0) (exp (- h0)))))) (/ h1 (sqrt (+ (exp h0) (exp (- h0))))) (/ h1 1) (/ h1 1) (/ (+ (exp h0) (exp (- h0))) (cbrt h1)) (/ (+ (exp h0) (exp (- h0))) (sqrt h1)) (/ (+ (exp h0) (exp (- h0))) h1) (/ h1 (+ (pow (exp h0) 3) (pow (exp (- h0)) 3))) (/ h1 (- (* (exp h0) (exp h0)) (* (exp (- h0)) (exp (- h0))))) (+ (pow h0 2) (+ (* 1/12 (pow h0 4)) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (+ (pow h0 2) (+ (* 1/12 (pow h0 4)) 2)) (+ (exp h0) (exp (- h0))) (+ (exp (* -1 h0)) (exp h0)) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) 1.586 * * [simplify]: iteration 0 : 200 enodes (cost 866 ) 1.590 * * [simplify]: iteration 1 : 666 enodes (cost 794 ) 1.603 * * [simplify]: iteration 2 : 3139 enodes (cost 788 ) 1.698 * * [simplify]: iteration 3 : 5001 enodes (cost 786 ) 1.701 * * * [progress]: adding candidates to table 2.016 * [progress]: [Phase 3 of 3] Extracting. 2.016 * * [regime]: Finding splitpoints for: (# #) 2.016 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 2.016 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 2.032 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 2.047 * * * * [regimes]: Trying to branch on x from (# #) 2.058 * * * [regime]: Found split indices: #