15.694 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ 2.0 (+ (exp x) (exp (- x)))) 0.015 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.016 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.017 * * [simplify]: iteration 2 : 14 enodes (cost 5 ) 0.018 * * [simplify]: iteration 3 : 15 enodes (cost 5 ) 0.019 * * [simplify]: iteration 4 : 20 enodes (cost 5 ) 0.021 * * [simplify]: iteration 5 : 41 enodes (cost 5 ) 0.022 * * [simplify]: iteration 6 : 66 enodes (cost 5 ) 0.024 * * [simplify]: iteration 7 : 165 enodes (cost 5 ) 0.035 * * [simplify]: iteration 8 : 1123 enodes (cost 5 ) 0.235 * * [simplify]: iteration 9 : 5001 enodes (cost 5 ) 0.236 * [simplify]: Simplified to: (/ 2.0 (+ (exp x) (exp (- x)))) 0.237 * * [progress]: iteration 1 / 4 0.237 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.245 * * * [progress]: generating rewritten candidates 0.245 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.251 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.258 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.258 * [taylor]: Taking taylor expansion of 2.0 in x 0.258 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.258 * [taylor]: Taking taylor expansion of (exp x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.258 * [taylor]: Taking taylor expansion of (- x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 0.259 * [taylor]: Taking taylor expansion of 2.0 in x 0.259 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.259 * [taylor]: Taking taylor expansion of (exp x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.259 * [taylor]: Taking taylor expansion of (- x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.284 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 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 * [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 * [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 (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.291 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.291 * [taylor]: Taking taylor expansion of -1 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of 2.0 in 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 0.292 * [taylor]: Taking taylor expansion of 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 -1 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.297 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.297 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.298 * [taylor]: Taking taylor expansion of (exp x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.298 * [taylor]: Taking taylor expansion of (- x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.298 * [taylor]: Taking taylor expansion of (exp x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.298 * [taylor]: Taking taylor expansion of (- x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.312 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.312 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.313 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.315 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.316 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.318 * * * [progress]: simplifying candidates 0.319 * [simplify]: Simplifying using # : (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 (+ (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))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 0.323 * * [simplify]: iteration 0 : 200 enodes (cost 433 ) 0.327 * * [simplify]: iteration 1 : 666 enodes (cost 397 ) 0.339 * * [simplify]: iteration 2 : 3139 enodes (cost 394 ) 0.434 * * [simplify]: iteration 3 : 5001 enodes (cost 393 ) 0.436 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) 1 (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) 0.436 * * * [progress]: adding candidates to table 0.533 * * [progress]: iteration 2 / 4 0.533 * * * [progress]: picking best candidate 0.539 * * * * [pick]: Picked # 0.539 * * * [progress]: localizing error 0.548 * * * [progress]: generating rewritten candidates 0.548 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.554 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.566 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.580 * * * [progress]: generating series expansions 0.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.580 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.580 * [taylor]: Taking taylor expansion of 2.0 in x 0.580 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.580 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (exp x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.582 * [taylor]: Taking taylor expansion of 2.0 in x 0.582 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.582 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (exp x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.607 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.607 * [taylor]: Taking taylor expansion of 2.0 in x 0.607 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.607 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.607 * [taylor]: Taking taylor expansion of -1 in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in x 0.608 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.613 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.613 * [taylor]: Taking taylor expansion of 2.0 in x 0.613 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.613 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.614 * [taylor]: Taking taylor expansion of -1 in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of 2.0 in x 0.614 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.615 * [taylor]: Taking taylor expansion of -1 in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.619 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.620 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.620 * [taylor]: Taking taylor expansion of 2.0 in x 0.620 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.620 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (exp x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.621 * [taylor]: Taking taylor expansion of 2.0 in x 0.621 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.621 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (exp x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.642 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.642 * [taylor]: Taking taylor expansion of 2.0 in x 0.642 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.643 * [taylor]: Taking taylor expansion of 2.0 in x 0.643 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.648 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.648 * [taylor]: Taking taylor expansion of 2.0 in x 0.649 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.649 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.649 * [taylor]: Taking taylor expansion of -1 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.649 * [taylor]: Taking taylor expansion of 2.0 in x 0.649 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.649 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.650 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.650 * [taylor]: Taking taylor expansion of -1 in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.655 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.655 * [approximate]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.655 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.655 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.655 * [taylor]: Taking taylor expansion of -1 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (exp x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.656 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.656 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.656 * [taylor]: Taking taylor expansion of -1 in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (exp x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.668 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in 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 x in x 0.669 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.669 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.672 * [taylor]: Taking taylor expansion of -1 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.672 * [taylor]: Taking taylor expansion of -1 in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.674 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in x 0.675 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.675 * [taylor]: Taking taylor expansion of 2.0 in x 0.675 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp 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 -1 in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (exp x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) in x 0.676 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (* -1 x)) (exp x))) in x 0.676 * [taylor]: Taking taylor expansion of 2.0 in x 0.676 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.676 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of (exp x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.717 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.717 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.717 * [taylor]: Taking taylor expansion of 2.0 in x 0.717 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.717 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.718 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.718 * [taylor]: Taking taylor expansion of 2.0 in x 0.718 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.718 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.718 * [taylor]: Taking taylor expansion of -1 in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.733 * [approximate]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.733 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.733 * [taylor]: Taking taylor expansion of 2.0 in x 0.733 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.733 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.733 * [taylor]: Taking taylor expansion of -1 in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (pow (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) 3) in x 0.734 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.734 * [taylor]: Taking taylor expansion of 2.0 in x 0.734 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.734 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.734 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.749 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (expm1 (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (log1p (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (log (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (exp (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (/ (* (* 2.0 2.0) 2.0) (* (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (+ (exp (* -1 x)) (exp x)))) (* (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (* (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (sqrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (sqrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (- 2.0) (- (+ (exp (* -1 x)) (exp x))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) (/ (cbrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) (/ (* (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)))) (expm1 (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (log1p (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (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 x)) (exp x)))) 3)) (cbrt (pow (sqrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (/ (cbrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (cbrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) 1) 3)) (cbrt (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) 1) 3)) (cbrt (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ (sqrt 2.0) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (/ (sqrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) 1) 3)) (cbrt (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (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))))) (cbrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) (cbrt (* (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)))) (cbrt (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 x)) (exp x)))) 3)) (cbrt (pow (sqrt (/ 2.0 (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (/ (cbrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (cbrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) 1) 3)) (cbrt (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ (* (cbrt 2.0) (cbrt 2.0)) 1) 3)) (cbrt (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ (sqrt 2.0) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x))))) 3)) (cbrt (pow (/ (sqrt 2.0) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (/ (sqrt 2.0) 1) 3)) (cbrt (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (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)))) (cbrt (* (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))))) (cbrt (sqrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (cbrt (sqrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3))) (cbrt 1) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 3 2))) (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 3 2))) (cbrt (pow 2.0 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (* (cbrt (cbrt (pow (/ 2.0 (+ (exp (* -1 x)) (exp 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x) (exp (* -1 x))) (exp (+ (* -1 x) (* -1 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 (+ (exp (* -1 x)) (exp x))) 2) (log (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (exp (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3)) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 2) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (pow (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) 3) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 2) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3/2) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3/2) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 2) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ (* 2.0 2.0) (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3)) (pow (/ (cbrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3) (* 2.0 2.0) (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (* 2.0 2.0) (pow (/ (cbrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (/ (pow (sqrt 2.0) 3) (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) (sqrt 2.0))) (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3) (pow (/ (sqrt 2.0) (sqrt (+ (exp (* -1 x)) (exp x)))) 3) (pow (sqrt 2.0) 3) (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (pow (sqrt 2.0) 3) (pow (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 3) (/ 1 (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (/ (pow 2.0 3) (+ (exp (* -1 x)) (exp x))) (pow (/ 1 (sqrt (+ (exp (* -1 x)) (exp x)))) 3) (pow (/ 2.0 (sqrt (+ (exp (* -1 x)) (exp x)))) 3) 1 (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) 1 (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 3) 1 (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 (fma (exp x) (- (exp x) (exp (* -1 x))) (exp (+ (* -1 x) (* -1 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) (pow (/ 2.0 (+ (exp (* -1 x)) (exp x))) 2) (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) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (pow x 4) 1.375 (- 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)) 0.831 * * * [progress]: adding candidates to table 1.084 * * [progress]: iteration 3 / 4 1.084 * * * [progress]: picking best candidate 1.088 * * * * [pick]: Picked # 1.088 * * * [progress]: localizing error 1.097 * * * [progress]: generating rewritten candidates 1.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.112 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.112 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.114 * * * [progress]: generating series expansions 1.115 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.115 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.115 * [taylor]: Taking taylor expansion of 2.0 in x 1.115 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.115 * [taylor]: Taking taylor expansion of (exp x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.115 * [taylor]: Taking taylor expansion of (- x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.116 * [taylor]: Taking taylor expansion of 2.0 in x 1.116 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.116 * [taylor]: Taking taylor expansion of (exp x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.116 * [taylor]: Taking taylor expansion of (- x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.138 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.138 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.138 * [taylor]: Taking taylor expansion of 2.0 in x 1.138 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.138 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.138 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.139 * [taylor]: Taking taylor expansion of 2.0 in x 1.139 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.139 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.139 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.145 * [approximate]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.145 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.145 * [taylor]: Taking taylor expansion of 2.0 in x 1.145 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.145 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.145 * [taylor]: Taking taylor expansion of -1 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.146 * [taylor]: Taking taylor expansion of 2.0 in x 1.146 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.146 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.151 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.151 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.151 * [taylor]: Taking taylor expansion of (exp x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.151 * [taylor]: Taking taylor expansion of (- x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.152 * [taylor]: Taking taylor expansion of (exp x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.152 * [taylor]: Taking taylor expansion of (- x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.166 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.166 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.166 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.166 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.167 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.167 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.169 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.170 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.170 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.170 * [taylor]: Taking taylor expansion of -1 in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.172 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.172 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in (x) around 0 1.172 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 1.172 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) 1) 1.172 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 1.173 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.173 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 1.173 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.173 * [taylor]: Taking taylor expansion of 1 in x 1.173 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.173 * [taylor]: Taking taylor expansion of 2.0 in x 1.173 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.173 * [taylor]: Taking taylor expansion of (exp x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.173 * [taylor]: Taking taylor expansion of (- x) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of 1 in x 1.175 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 1.175 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) 1) 1.175 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) in x 1.175 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.175 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 1.175 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.175 * [taylor]: Taking taylor expansion of 1 in x 1.175 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.175 * [taylor]: Taking taylor expansion of 2.0 in x 1.175 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.175 * [taylor]: Taking taylor expansion of (exp x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.175 * [taylor]: Taking taylor expansion of (- x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of 1 in x 1.266 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x) around 0 1.266 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.266 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 1.266 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.266 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.266 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.266 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.266 * [taylor]: Taking taylor expansion of 1 in x 1.266 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.266 * [taylor]: Taking taylor expansion of 2.0 in x 1.266 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.266 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.267 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of 1 in x 1.268 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.268 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1) 1.268 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.268 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.268 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.268 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.268 * [taylor]: Taking taylor expansion of 1 in x 1.268 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.268 * [taylor]: Taking taylor expansion of 2.0 in x 1.268 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.268 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.268 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of 1 in x 1.307 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.307 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 1.307 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.307 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.307 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.307 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.307 * [taylor]: Taking taylor expansion of 1 in x 1.307 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.307 * [taylor]: Taking taylor expansion of 2.0 in x 1.307 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.308 * [taylor]: Taking taylor expansion of -1 in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1 in x 1.309 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.309 * [taylor]: Rewrote expression to (- (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1) 1.309 * [taylor]: Taking taylor expansion of (exp (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.309 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.309 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.309 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.309 * [taylor]: Taking taylor expansion of 1 in x 1.309 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.309 * [taylor]: Taking taylor expansion of 2.0 in x 1.309 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.309 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.309 * [taylor]: Taking taylor expansion of -1 in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 1 in x 1.352 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.352 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in (x) around 0 1.352 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.353 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 1.353 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.353 * [taylor]: Taking taylor expansion of 1 in x 1.353 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.353 * [taylor]: Taking taylor expansion of 2.0 in x 1.353 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.353 * [taylor]: Taking taylor expansion of (exp x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.353 * [taylor]: Taking taylor expansion of (- x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.354 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp x) (exp (- x)))))) 1.354 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) in x 1.354 * [taylor]: Taking taylor expansion of 1 in x 1.354 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp x) (exp (- x)))) in x 1.354 * [taylor]: Taking taylor expansion of 2.0 in x 1.354 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.354 * [taylor]: Taking taylor expansion of (exp x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.354 * [taylor]: Taking taylor expansion of (- x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.411 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.411 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.411 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.411 * [taylor]: Taking taylor expansion of 1 in x 1.411 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.411 * [taylor]: Taking taylor expansion of 2.0 in x 1.411 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.411 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.418 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) 1.418 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.418 * [taylor]: Taking taylor expansion of 1 in x 1.418 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.418 * [taylor]: Taking taylor expansion of 2.0 in x 1.418 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.446 * [approximate]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.446 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.446 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.446 * [taylor]: Taking taylor expansion of 1 in x 1.446 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.446 * [taylor]: Taking taylor expansion of 2.0 in x 1.446 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.446 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.447 * [taylor]: Taking taylor expansion of -1 in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (log1p (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.447 * [taylor]: Rewrote expression to (log (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))))) 1.447 * [taylor]: Taking taylor expansion of (+ 1 (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.447 * [taylor]: Taking taylor expansion of 1 in x 1.447 * [taylor]: Taking taylor expansion of (/ 2.0 (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.447 * [taylor]: Taking taylor expansion of 2.0 in x 1.447 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.447 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.448 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.448 * [taylor]: Taking taylor expansion of -1 in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.474 * * * [progress]: simplifying candidates 1.475 * [simplify]: Simplifying using # : (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 (+ (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))) (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (log1p (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (log (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (exp (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (* (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))))) (cbrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (* (* (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (sqrt (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (+ 1 (/ 2.0 (+ (exp x) (exp (- x))))) (expm1 (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (exp (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (* (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (* (* (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (- (+ (* 0.20833333333333334 (pow x 4)) 1.0) (* 0.5 (pow x 2))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (- (+ 1.0 (* 0.2708333333333333 (pow x 4))) (+ (* 0.5 (pow x 2)) (* 0.25 (/ (pow x 4) (pow 2.0 2))))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp (* -1 x)) (exp x))) (- (+ (log 2.0) (* 0.10416666666666666 (pow x 4))) (+ (* 0.25 (pow x 2)) (* 0.125 (/ (pow x 4) (pow 2.0 2))))) (log (+ 1 (* 2.0 (/ 1 (+ (exp x) (exp (- x))))))) (log (+ (* 2.0 (/ 1 (+ (exp (* -1 x)) (exp x)))) 1)) 1.481 * * [simplify]: iteration 0 : 285 enodes (cost 645 ) 1.486 * * [simplify]: iteration 1 : 897 enodes (cost 583 ) 1.503 * * [simplify]: iteration 2 : 4347 enodes (cost 576 ) 1.653 * * [simplify]: iteration 3 : 5001 enodes (cost 575 ) 1.657 * [simplify]: Simplified to: (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (* (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (/ 2.0 (+ (exp x) (exp (- x))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (- 2.0) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt 2.0) (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (* (cbrt 2.0) (cbrt 2.0)) (/ (cbrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) 1 (/ 2.0 (+ (exp x) (exp (- x)))) (/ 1 (+ (exp (* -1 x)) (exp x))) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ 2.0 (sqrt (+ (exp x) (exp (- x))))) 2.0 2.0 (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) 2.0) (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ 2.0 (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (fma (exp x) (exp x) (expm1 (* x -2))) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (expm1 (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log (/ 2.0 (+ (exp x) (exp (- x))))) (exp (/ 2.0 (+ (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))))) (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (/ 2.0 (+ (exp x) (exp (- x)))) (log1p (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (log (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (fma 2.0 (/ 1 (+ (exp (* -1 x)) (exp x))) 1) (* (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x))))))) (cbrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (pow (log1p (/ 2.0 (+ (exp x) (exp (- x))))) 3) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (sqrt (log1p (/ 2.0 (+ (exp x) (exp (- x)))))) (fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2)))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (pow x 4) 0.2708333333333333 (- 1.0 (fma 0.5 (pow x 2) (* 0.25 (/ (pow x 4) (pow 2.0 2)))))) (/ 2.0 (+ (exp x) (exp (- x)))) (/ 2.0 (+ (exp x) (exp (- x)))) (fma (pow x 4) 0.10416666666666666 (- (log 2.0) (fma 0.25 (pow x 2) (* 0.125 (/ (pow x 4) (pow 2.0 2)))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) (log1p (/ 2.0 (+ (exp x) (exp (- x))))) 1.657 * * * [progress]: adding candidates to table 1.831 * * [progress]: iteration 4 / 4 1.831 * * * [progress]: picking best candidate 1.832 * * * * [pick]: Picked # 1.833 * * * [progress]: localizing error 1.846 * * * [progress]: generating rewritten candidates 1.846 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.876 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.884 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.897 * * * [progress]: generating series expansions 1.897 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.898 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in (x) around 0 1.898 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 1.898 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.898 * [taylor]: Taking taylor expansion of 2.0 in x 1.899 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.899 * [taylor]: Taking taylor expansion of (exp x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.899 * [taylor]: Taking taylor expansion of (- x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.901 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) in x 1.901 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.901 * [taylor]: Taking taylor expansion of 2.0 in x 1.902 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.902 * [taylor]: Taking taylor expansion of (exp x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.902 * [taylor]: Taking taylor expansion of (- x) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.949 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 1.949 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.949 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.949 * [taylor]: Taking taylor expansion of 2.0 in x 1.949 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.950 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.950 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.952 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.952 * [taylor]: Taking taylor expansion of 2.0 in x 1.952 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.953 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.953 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.972 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 1.972 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.972 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.972 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.972 * [taylor]: Taking taylor expansion of 2.0 in x 1.973 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.973 * [taylor]: Taking taylor expansion of -1 in x 1.974 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.975 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 1.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 1.975 * [taylor]: Taking taylor expansion of 2.0 in x 1.976 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.976 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.976 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.976 * [taylor]: Taking taylor expansion of -1 in x 1.976 * [taylor]: Taking taylor expansion of x in x 2.000 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.000 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 2.000 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.000 * [taylor]: Taking taylor expansion of (exp x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.000 * [taylor]: Taking taylor expansion of (- x) in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.001 * [taylor]: Taking taylor expansion of (exp x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.001 * [taylor]: Taking taylor expansion of (- x) in x 2.001 * [taylor]: Taking taylor expansion of x in x 2.015 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 2.015 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.015 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.016 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.016 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.016 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.017 * [taylor]: Taking taylor expansion of x in x 2.019 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 2.019 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.019 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.019 * [taylor]: Taking taylor expansion of -1 in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.020 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.020 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.020 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.020 * [taylor]: Taking taylor expansion of -1 in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.022 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.022 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in (x) around 0 2.023 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 2.023 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.023 * [taylor]: Taking taylor expansion of 2.0 in x 2.023 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.023 * [taylor]: Taking taylor expansion of (exp x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.023 * [taylor]: Taking taylor expansion of (- x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) in x 2.025 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.025 * [taylor]: Taking taylor expansion of 2.0 in x 2.025 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 2.025 * [taylor]: Taking taylor expansion of (exp x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (exp (- x)) in x 2.025 * [taylor]: Taking taylor expansion of (- x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.057 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 2.057 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.057 * [taylor]: Taking taylor expansion of 2.0 in x 2.058 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.058 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.059 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 2.059 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.060 * [taylor]: Taking taylor expansion of 2.0 in x 2.060 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 2.060 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 2.061 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.078 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 2.078 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.078 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.078 * [taylor]: Taking taylor expansion of 2.0 in x 2.079 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.079 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.079 * [taylor]: Taking taylor expansion of -1 in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 2.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 2.080 * [taylor]: Taking taylor expansion of 2.0 in x 2.081 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 2.081 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.081 * [taylor]: Taking taylor expansion of -1 in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.092 * * * [progress]: simplifying candidates 2.094 * [simplify]: Simplifying using # : (expm1 (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log1p (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (+ (log (sqrt 2.0)) (- (log (sqrt 2.0)) (log (+ (exp x) (exp (- x)))))) (+ (log (sqrt 2.0)) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (exp (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (* (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (sqrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (* (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)) (* (sqrt 2.0) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt 1) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt 1) 1)) (* (sqrt 2.0) (/ (sqrt 1) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (* (sqrt 2.0) (/ 1 (sqrt (+ (exp x) (exp (- x)))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (sqrt 2.0)) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (sqrt 2.0) (/ (sqrt 2.0) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (cbrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt (sqrt 2.0)) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (sqrt 2.0) (sqrt 2.0)) (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) (+ (exp x) (exp (- x))))) (log1p (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (- (log (sqrt 2.0)) (log (+ (exp x) (exp (- x))))) (log (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (exp (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))) (* (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (* (* (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (sqrt (/ (sqrt 2.0) (+ (exp x) (exp (- x))))) (- (sqrt 2.0)) (- (+ (exp x) (exp (- x)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) 1) (/ (cbrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (cbrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (cbrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (sqrt (cbrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (* (cbrt 2.0) (cbrt 2.0))) 1) (/ (sqrt (cbrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt 1) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt 1) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 1) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 1) 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (sqrt 2.0)) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ (sqrt (sqrt 2.0)) 1) (/ (sqrt (sqrt 2.0)) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 1) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2.0) 1) (/ (sqrt 2.0) 1) (/ (+ (exp x) (exp (- x))) (cbrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (cbrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (sqrt 2.0) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (- (+ (* 1/2 (pow (sqrt 2.0) 2)) (* 5/48 (* (pow (sqrt 2.0) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2.0) 2) (pow x 2)))) (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) (/ (pow (sqrt 2.0) 2) (+ (exp (* -1 x)) (exp x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (- (+ (* 5/48 (* (sqrt 2.0) (pow x 4))) (* 1/2 (sqrt 2.0))) (* 1/4 (* (sqrt 2.0) (pow x 2)))) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 2.101 * * [simplify]: iteration 0 : 377 enodes (cost 1293 ) 2.109 * * [simplify]: iteration 1 : 1669 enodes (cost 1171 ) 2.144 * * [simplify]: iteration 2 : 5001 enodes (cost 1140 ) 2.150 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (log1p (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (- (log 2.0) (log (+ (exp (* -1 x)) (exp x)))) (exp (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (pow (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) 3) (pow (/ (pow (sqrt 2.0) 2) (+ (exp x) (exp (- x)))) 3) (* (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x)))))) (cbrt (* (sqrt 2.0) (/ (sqrt 2.0) (+ (exp x) (exp (- x))))))) (cbrt (* 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1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 1 (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt 2.0) (sqrt (+ (exp x) (exp (- x))))) (sqrt 2.0) (sqrt 2.0) (/ (+ (exp x) (exp (- x))) (cbrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (cbrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (+ (exp x) (exp (- x))) (sqrt (sqrt 2.0))) (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (/ (sqrt 2.0) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (sqrt 2.0) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x)))) (fma 2.0 1/2 (fma (* 5/48 2.0) (pow x 4) (- (* (* 1/4 2.0) (pow x 2))))) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (/ 2.0 (/ (+ (exp (* -1 x)) (exp x)) 1)) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (* 5/48 (sqrt 2.0)) (pow x 4) (- (* 1/2 (sqrt 2.0)) (* 1/4 (* (sqrt 2.0) (pow x 2))))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) (/ (sqrt 2.0) (+ (exp (* -1 x)) (exp x))) 2.151 * * * [progress]: adding candidates to table 2.373 * [progress]: [Phase 3 of 3] Extracting. 2.373 * * [regime]: Finding splitpoints for: (# # #) 2.373 * * * [regime-changes]: Trying 3 branch expressions: ((+ (exp x) (exp (- x))) (/ 2.0 (+ (exp x) (exp (- x)))) x) 2.373 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# # #) 2.390 * * * * [regimes]: Trying to branch on (+ (exp x) (exp (- x))) from (# #) 2.409 * * * * [regimes]: Trying to branch on (/ 2.0 (+ (exp x) (exp (- x)))) from (# # #) 2.426 * * * * [regimes]: Trying to branch on x from (# # #) 2.440 * * * [regime]: Found split indices: #