13.012 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying: (/ 2.0 (+ (exp x) (exp (- x)))) 0.014 * [simplify]: Sending expressions to egg_math: (/ h1 (+ (exp h0) (exp (- h0)))) 0.015 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.017 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.018 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.019 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.020 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.021 * * [simplify]: iteration 5 : 40 enodes (cost 5 ) 0.023 * * [simplify]: iteration 6 : 61 enodes (cost 5 ) 0.024 * * [simplify]: iteration 7 : 150 enodes (cost 5 ) 0.032 * * [simplify]: iteration 8 : 1040 enodes (cost 5 ) 0.224 * * [simplify]: iteration 9 : 5002 enodes (cost 5 ) 0.226 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.227 * * * * [pick]: Picked # 0.228 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.260 * [backup-simplify]: Simplify (/ 2.0 (+ (exp x) (exp (- x)))) into (/ 2.0 (+ (exp x) (exp (- x)))) 0.260 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.260 * [taylor]: Taking taylor expansion of (exp x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (exp 0) into 1 0.260 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.260 * [taylor]: Taking taylor expansion of (- x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (exp 0) into 1 0.261 * [backup-simplify]: Simplify (+ 1 1) into 2 0.261 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.261 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.261 * [taylor]: Taking taylor expansion of 2.0 in x 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.261 * [taylor]: Taking taylor expansion of (exp x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (exp 0) into 1 0.262 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.262 * [taylor]: Taking taylor expansion of (- x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (exp 0) into 1 0.262 * [backup-simplify]: Simplify (+ 1 1) into 2 0.263 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.263 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.265 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.265 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.266 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.268 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.270 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 0.270 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.271 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.272 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.274 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.277 * [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 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (- 1) into -1 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (- 1) into -1 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [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 0.280 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.284 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 0.284 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 0.285 * [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))) 0.285 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.285 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [backup-simplify]: Simplify 2.0 into 2.0 0.285 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.285 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.286 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.286 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.286 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.286 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.286 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.287 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.287 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (exp (- (/ 1 x))) into (exp (- (/ 1 x))) 0.288 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) 0.288 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.288 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [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 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [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 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [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 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [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 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [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 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [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 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (- (/ 1 (/ 1 x)))))) into (/ 2.0 (+ (exp x) (exp (- x)))) 0.293 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.293 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.293 * [taylor]: Taking taylor expansion of 2.0 in x 0.293 * [backup-simplify]: Simplify 2.0 into 2.0 0.293 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in 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 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 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ -1 1) into -1 0.294 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.294 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.294 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.294 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.294 * [taylor]: Taking taylor expansion of 2.0 in x 0.294 * [backup-simplify]: Simplify 2.0 into 2.0 0.294 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.294 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.294 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [backup-simplify]: Simplify -1 into -1 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 (/ -1 1) into -1 0.295 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.295 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.295 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.295 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [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 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [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 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [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 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [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 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [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 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.300 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying: (- (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))))) (- (+ (* 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))) 0.301 * [simplify]: Sending expressions to egg_math: (- (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))))) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (/ h1 (+ (exp h0) (exp (- h0)))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) 0.304 * * [simplify]: iteration 0 : 163 enodes (cost 311 ) 0.307 * * [simplify]: iteration 1 : 549 enodes (cost 289 ) 0.316 * * [simplify]: iteration 2 : 2172 enodes (cost 288 ) 0.367 * * [simplify]: iteration 3 : 5001 enodes (cost 288 ) 0.368 * * * [progress]: adding candidates to table 0.441 * * [progress]: iteration 2 / 4 0.441 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.452 * * * [progress]: generating rewritten candidates 0.452 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.474 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.498 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.523 * * * [progress]: generating series expansions 0.523 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.524 * [backup-simplify]: Simplify (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) into (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) 0.524 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in x 0.524 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.524 * [taylor]: Taking taylor expansion of 2.0 in x 0.524 * [backup-simplify]: Simplify 2.0 into 2.0 0.524 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.524 * [taylor]: Taking taylor expansion of -1 in x 0.524 * [backup-simplify]: Simplify -1 into -1 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* -1 0) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.525 * [backup-simplify]: Simplify (exp 0) into 1 0.525 * [taylor]: Taking taylor expansion of (exp x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (exp 0) into 1 0.525 * [backup-simplify]: Simplify (+ 1 1) into 2 0.525 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.525 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in x 0.525 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.525 * [taylor]: Taking taylor expansion of 2.0 in x 0.525 * [backup-simplify]: Simplify 2.0 into 2.0 0.525 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.525 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [backup-simplify]: Simplify -1 into -1 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* -1 0) into 0 0.526 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.526 * [backup-simplify]: Simplify (exp 0) into 1 0.526 * [taylor]: Taking taylor expansion of (exp x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (exp 0) into 1 0.527 * [backup-simplify]: Simplify (+ 1 1) into 2 0.527 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.527 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.528 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.529 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.529 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.529 * [backup-simplify]: Simplify (+ -1 1) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.532 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.533 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.533 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.535 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 0.537 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (+ (* 0 0) (* (- 0.5) 1.0))) into (- 1.0) 0.539 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 0) (* (- 0.5) 1.0))) into (- 1.5) 0.540 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 0.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.541 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.543 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.543 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- 0.5)) (+ (* (- 0.5) 0) (* 0 1.0)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (- 1.0)) (+ (* (- 0.5) 0) (* 0 1.0)))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.551 * [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 0.553 * [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 0.554 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.557 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 0.561 * [backup-simplify]: Simplify (+ (* 1.0 0.20833333333333334) (+ (* 0 0) (+ (* (- 0.5) (- 0.5)) (+ (* 0 0) (* 0.20833333333333334 1.0))))) into 0.6666666666666667 0.566 * [backup-simplify]: Simplify (+ (* 1.0 0.6666666666666667) (+ (* 0 0) (+ (* (- 0.5) (- 1.0)) (+ (* 0 0) (* 0.20833333333333334 1.0))))) into 1.375 0.566 * [backup-simplify]: Simplify 1.375 into 1.375 0.566 * [backup-simplify]: Simplify (+ (* 1.375 (pow x 4)) (+ (* (- 1.5) (pow x 2)) 1.0)) into (- (+ (* 1.375 (pow x 4)) 1.0) (* 1.5 (pow x 2))) 0.566 * [backup-simplify]: Simplify (pow (/ 2.0 (+ (exp (* -1 (/ 1 x))) (exp (/ 1 x)))) 3) into (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) 0.566 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.566 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.566 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.567 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [backup-simplify]: Simplify -1 into -1 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ -1 1) into -1 0.567 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.567 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.567 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.567 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.567 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of 2.0 in x 0.568 * [backup-simplify]: Simplify 2.0 into 2.0 0.568 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.568 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [backup-simplify]: Simplify -1 into -1 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ -1 1) into -1 0.569 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.569 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.569 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.569 * [backup-simplify]: Simplify (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)) 0.569 * [backup-simplify]: Simplify (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))) into (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) 0.569 * [backup-simplify]: Simplify (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) into (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [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))))))) into 0 0.570 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 0.570 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [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))))))) into 0 0.571 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [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))))))) into 0 0.573 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 0.574 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [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 0.576 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 0.576 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [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))))) (* 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 0.578 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))))))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [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 0.582 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 0.583 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))))))) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (/ 8.0 (pow (+ (exp (/ 1 (/ 1 x))) (exp (/ -1 (/ 1 x)))) 3)) into (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)) 0.583 * [backup-simplify]: Simplify (pow (/ 2.0 (+ (exp (* -1 (/ 1 (- x)))) (exp (/ 1 (- x))))) 3) into (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) 0.583 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in (x) around 0 0.583 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.584 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.584 * [taylor]: Taking taylor expansion of 2.0 in x 0.584 * [backup-simplify]: Simplify 2.0 into 2.0 0.584 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.584 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.584 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.584 * [taylor]: Taking taylor expansion of -1 in x 0.584 * [backup-simplify]: Simplify -1 into -1 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ -1 1) into -1 0.584 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.584 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.585 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.585 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.585 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.585 * [taylor]: Taking taylor expansion of 2.0 in x 0.585 * [backup-simplify]: Simplify 2.0 into 2.0 0.585 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.585 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.585 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.585 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ -1 1) into -1 0.585 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.585 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.586 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.586 * [backup-simplify]: Simplify (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) into (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)) 0.586 * [backup-simplify]: Simplify (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))) into (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) 0.586 * [backup-simplify]: Simplify (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) into (/ 8.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3)) 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [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 0.587 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) into 0 0.587 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [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 0.588 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [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 0.590 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))) into 0 0.591 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))))) into 0 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [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 0.593 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))) into 0 0.593 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))))) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [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 0.595 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2)))))))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [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 0.599 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))))))))) into 0 0.600 * [backup-simplify]: Simplify (+ (* (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4.0 (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 2))))))))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (/ 8.0 (pow (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x))))) 3)) into (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)) 0.600 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.601 * [backup-simplify]: Simplify (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.601 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.601 * [taylor]: Taking taylor expansion of 2.0 in x 0.601 * [backup-simplify]: Simplify 2.0 into 2.0 0.601 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.601 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.601 * [taylor]: Taking taylor expansion of -1 in x 0.601 * [backup-simplify]: Simplify -1 into -1 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (* -1 0) into 0 0.601 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.601 * [backup-simplify]: Simplify (exp 0) into 1 0.601 * [taylor]: Taking taylor expansion of (exp x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (exp 0) into 1 0.602 * [backup-simplify]: Simplify (+ 1 1) into 2 0.602 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.602 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.602 * [taylor]: Taking taylor expansion of 2.0 in x 0.602 * [backup-simplify]: Simplify 2.0 into 2.0 0.602 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.602 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.602 * [taylor]: Taking taylor expansion of -1 in x 0.602 * [backup-simplify]: Simplify -1 into -1 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* -1 0) into 0 0.603 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.603 * [backup-simplify]: Simplify (exp 0) into 1 0.603 * [taylor]: Taking taylor expansion of (exp x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (exp 0) into 1 0.603 * [backup-simplify]: Simplify (+ 1 1) into 2 0.603 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.603 * [backup-simplify]: Simplify 1.0 into 1.0 0.604 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.605 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.605 * [backup-simplify]: Simplify (+ -1 1) into 0 0.605 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.607 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.608 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.608 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.610 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 0.610 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.612 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.613 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.613 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 0.614 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.617 * [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 0.619 * [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 0.619 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.623 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 0.623 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 0.624 * [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))) 0.624 * [backup-simplify]: Simplify (cbrt (pow (/ 2.0 (+ (exp (* -1 (/ 1 x))) (exp (/ 1 x)))) 3)) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.624 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.624 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of 2.0 in x 0.624 * [backup-simplify]: Simplify 2.0 into 2.0 0.624 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.624 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.624 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.624 * [taylor]: Taking taylor expansion of -1 in x 0.624 * [backup-simplify]: Simplify -1 into -1 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ -1 1) into -1 0.625 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.625 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.625 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.625 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of 2.0 in x 0.625 * [backup-simplify]: Simplify 2.0 into 2.0 0.625 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.625 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.625 * [taylor]: Taking taylor expansion of -1 in x 0.625 * [backup-simplify]: Simplify -1 into -1 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ -1 1) into -1 0.626 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.626 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.626 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.626 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [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 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [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 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.628 * [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 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [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 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.630 * [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 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [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 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (/ -1 (/ 1 x))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.631 * [backup-simplify]: Simplify (cbrt (pow (/ 2.0 (+ (exp (* -1 (/ 1 (- x)))) (exp (/ 1 (- x))))) 3)) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.631 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.631 * [taylor]: Taking taylor expansion of 2.0 in x 0.631 * [backup-simplify]: Simplify 2.0 into 2.0 0.631 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.631 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.631 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.631 * [taylor]: Taking taylor expansion of -1 in x 0.631 * [backup-simplify]: Simplify -1 into -1 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ -1 1) into -1 0.632 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.632 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.632 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.632 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of 2.0 in x 0.632 * [backup-simplify]: Simplify 2.0 into 2.0 0.632 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.632 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.632 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [backup-simplify]: Simplify -1 into -1 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (/ -1 1) into -1 0.633 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.633 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.633 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.633 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [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 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [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 0.638 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [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 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [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 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [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 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [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 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.642 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.642 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (* -1 x)) (exp x))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.642 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.643 * [taylor]: Taking taylor expansion of 2.0 in x 0.643 * [backup-simplify]: Simplify 2.0 into 2.0 0.643 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.643 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [backup-simplify]: Simplify -1 into -1 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (* -1 0) into 0 0.643 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.643 * [backup-simplify]: Simplify (exp 0) into 1 0.643 * [taylor]: Taking taylor expansion of (exp x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (exp 0) into 1 0.644 * [backup-simplify]: Simplify (+ 1 1) into 2 0.644 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.644 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.644 * [taylor]: Taking taylor expansion of 2.0 in x 0.644 * [backup-simplify]: Simplify 2.0 into 2.0 0.644 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.644 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [backup-simplify]: Simplify -1 into -1 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* -1 0) into 0 0.645 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.645 * [backup-simplify]: Simplify (exp 0) into 1 0.645 * [taylor]: Taking taylor expansion of (exp x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (exp 0) into 1 0.645 * [backup-simplify]: Simplify (+ 1 1) into 2 0.645 * [backup-simplify]: Simplify (/ 2.0 2) into 1.0 0.645 * [backup-simplify]: Simplify 1.0 into 1.0 0.646 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 0.647 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.647 * [backup-simplify]: Simplify (+ -1 1) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.649 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.649 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.650 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 0.652 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1 2)) (* 0 (/ 0 2)))) into (- 0.5) 0.652 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.654 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 0.655 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.655 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 0.656 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 0 2)) (* 0 (/ 1 2)) (* (- 0.5) (/ 0 2)))) into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.660 * [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 0.661 * [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 0.662 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 0.666 * [backup-simplify]: Simplify (- (/ 0 2) (+ (* 1.0 (/ 1/12 2)) (* 0 (/ 0 2)) (* (- 0.5) (/ 1 2)) (* 0 (/ 0 2)))) into 0.20833333333333334 0.666 * [backup-simplify]: Simplify 0.20833333333333334 into 0.20833333333333334 0.666 * [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))) 0.666 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (* -1 (/ 1 x))) (exp (/ 1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.666 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.666 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.666 * [taylor]: Taking taylor expansion of 2.0 in x 0.666 * [backup-simplify]: Simplify 2.0 into 2.0 0.666 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.667 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.667 * [taylor]: Taking taylor expansion of -1 in x 0.667 * [backup-simplify]: Simplify -1 into -1 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (/ -1 1) into -1 0.667 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.667 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.667 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.667 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.667 * [taylor]: Taking taylor expansion of 2.0 in x 0.667 * [backup-simplify]: Simplify 2.0 into 2.0 0.667 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.667 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.668 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [backup-simplify]: Simplify -1 into -1 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ -1 1) into -1 0.668 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.668 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.668 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.669 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [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 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [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 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [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 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [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 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.672 * [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 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [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 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 x))) (exp (/ -1 (/ 1 x))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.673 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (* -1 (/ 1 (- x)))) (exp (/ 1 (- x))))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.673 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.674 * [taylor]: Taking taylor expansion of 2.0 in x 0.674 * [backup-simplify]: Simplify 2.0 into 2.0 0.674 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.674 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.674 * [taylor]: Taking taylor expansion of -1 in x 0.674 * [backup-simplify]: Simplify -1 into -1 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (/ -1 1) into -1 0.674 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.674 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.675 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.675 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.675 * [taylor]: Taking taylor expansion of 2.0 in x 0.675 * [backup-simplify]: Simplify 2.0 into 2.0 0.675 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 0.675 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.675 * [backup-simplify]: Simplify -1 into -1 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (/ -1 1) into -1 0.675 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 0.675 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) (exp (/ -1 x))) into (+ (exp (/ 1 x)) (exp (/ -1 x))) 0.676 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.676 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) into (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [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 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [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 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [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 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [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 0.678 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [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 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [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 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (/ 2.0 (+ (exp (/ 1 (/ 1 (- x)))) (exp (/ -1 (/ 1 (- x)))))) into (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.680 * * * [progress]: simplifying candidates 0.683 * [simplify]: Simplifying: (* (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) 3) (* (log (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 3) (* (log (/ 2.0 (+ (exp (* -1 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(pow 1 3) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (pow 2.0 3) (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 3) (pow (/ 2.0 (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3))) 3) (pow (+ (* (exp (* -1 x)) (exp (* -1 x))) (- (* (exp x) (exp x)) (* (exp (* -1 x)) (exp x)))) 3) (pow (/ 2.0 (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x)))) 3) (pow (- (exp (* -1 x)) (exp x)) 3) (pow 2.0 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (sqrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (sqrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 3 2)) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 3 2)) (log (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (exp (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (cbrt (pow (* (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (sqrt (/ 2.0 (+ (exp (* -1 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(pow (/ (sqrt 2.0) 1) 3)) (cbrt (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ 1 (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (/ 2.0 (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ 1 (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ 2.0 (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow 2.0 3)) (cbrt (pow (/ 1 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ 2.0 (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3))) 3)) (cbrt (pow (+ (* (exp (* -1 x)) (exp (* -1 x))) (- (* (exp x) (exp x)) (* (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ 2.0 (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x)))) 3)) (cbrt (pow (- (exp (* -1 x)) (exp x)) 3)) (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) 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(/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp (* -1 x)) (exp x)))) (/ (cbrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (* (cbrt 2.0) (cbrt 2.0)) 1) (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (sqrt 2.0) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) (/ (sqrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ 1 (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) (/ 2.0 (cbrt (+ (exp (* -1 x)) (exp x)))) (/ 1 (sqrt (+ (exp (* -1 x)) (exp x)))) (/ 2.0 (sqrt (+ (exp (* -1 x)) (exp x)))) (/ 1 1) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 1) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp (* -1 x)) (exp x))) (/ (+ (exp (* -1 x)) (exp x)) 2.0) (/ 2.0 (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) (/ 2.0 (sqrt (+ (exp (* -1 x)) (exp x)))) (/ 2.0 1) (/ 2.0 1) (/ (+ (exp (* -1 x)) (exp x)) (cbrt 2.0)) (/ (+ (exp (* -1 x)) (exp x)) (sqrt 2.0)) (/ (+ (exp (* -1 x)) (exp x)) 2.0) (/ 2.0 (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3))) (/ 2.0 (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x)))) (- (+ (* 1.375 (pow x 4)) 1.0) (* 1.5 (pow x 2))) (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)) (/ 8.0 (pow (+ (exp (* -1 x)) (exp x)) 3)) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) 0.684 * [simplify]: Sending expressions to egg_math: (* (- (log h1) (log (+ (exp (* -1 h0)) (exp h0)))) 3) (* (log (/ h1 (+ (exp (* -1 h0)) (exp h0)))) 3) (* (log (/ h1 (+ (exp (* -1 h0)) (exp h0)))) 3) (* 1 3) (pow (/ h1 (+ (exp (* -1 h0)) (exp 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(* -1 h0)) (exp h0))) (/ 1 1) (/ h1 (+ (exp (* -1 h0)) (exp h0))) (/ 1 (+ (exp (* -1 h0)) (exp h0))) (/ (+ (exp (* -1 h0)) (exp h0)) h1) (/ h1 (* (cbrt (+ (exp (* -1 h0)) (exp h0))) (cbrt (+ (exp (* -1 h0)) (exp h0))))) (/ h1 (sqrt (+ (exp (* -1 h0)) (exp h0)))) (/ h1 1) (/ h1 1) (/ (+ (exp (* -1 h0)) (exp h0)) (cbrt h1)) (/ (+ (exp (* -1 h0)) (exp h0)) (sqrt h1)) (/ (+ (exp (* -1 h0)) (exp h0)) h1) (/ h1 (+ (pow (exp (* -1 h0)) 3) (pow (exp h0) 3))) (/ h1 (- (* (exp (* -1 h0)) (exp (* -1 h0))) (* (exp h0) (exp h0)))) (- (+ (* h4 (pow h0 4)) h3) (* h2 (pow h0 2))) (/ h5 (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (/ h5 (pow (+ (exp (* -1 h0)) (exp h0)) 3)) (- (+ (* h7 (pow h0 4)) h3) (* h6 (pow h0 2))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) (- (+ (* h7 (pow h0 4)) h3) (* h6 (pow h0 2))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) (/ h1 (+ (exp (* -1 h0)) (exp h0))) 0.691 * * [simplify]: iteration 0 : 447 enodes (cost 1530 ) 0.699 * * [simplify]: iteration 1 : 1969 enodes (cost 1425 ) 0.731 * * [simplify]: iteration 2 : 5002 enodes (cost 1411 ) 0.737 * * * [progress]: adding candidates to table 0.974 * [progress]: [Phase 3 of 3] Extracting. 0.974 * * [regime]: Finding splitpoints for: (# #) 0.974 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 0.974 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 0.989 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# #) 1.004 * * * * [regimes]: Trying to branch on x from (# #) 1.017 * * * [regime]: Found split indices: #