16.112 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.111 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.112 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.113 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.115 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.116 * * [simplify]: iteration 4 : 59 enodes (cost 9 ) 0.118 * * [simplify]: iteration 5 : 174 enodes (cost 9 ) 0.123 * * [simplify]: iteration 6 : 1153 enodes (cost 9 ) 0.151 * * [simplify]: iteration 7 : 5001 enodes (cost 9 ) 0.151 * [simplify]: Simplified to: (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.153 * * * * [pick]: Picked # 0.153 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.177 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.177 * [taylor]: Taking taylor expansion of (exp x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.178 * [taylor]: Taking taylor expansion of (- x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.178 * [taylor]: Taking taylor expansion of (exp x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.178 * [taylor]: Taking taylor expansion of (- x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.203 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.203 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.209 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.212 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.212 * [approximate]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in x 0.212 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.212 * [taylor]: Taking taylor expansion of (exp x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.212 * [taylor]: Taking taylor expansion of (- x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.213 * [taylor]: Taking taylor expansion of (exp x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.213 * [taylor]: Taking taylor expansion of (- x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in x 0.216 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.216 * [taylor]: Taking taylor expansion of (exp x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.216 * [taylor]: Taking taylor expansion of (- x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.217 * [taylor]: Taking taylor expansion of (exp x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.217 * [taylor]: Taking taylor expansion of (- x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.261 * [approximate]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.261 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.262 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.263 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.263 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.264 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.274 * [approximate]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.274 * [taylor]: Taking taylor expansion of -1 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.275 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.275 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.275 * [taylor]: Taking taylor expansion of -1 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.277 * [taylor]: Taking taylor expansion of -1 in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.285 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (/ (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))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (- (log (- (exp x) (exp (- x)))) (log (+ (exp x) (exp (- x))))) (log (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (exp (/ (- (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 x) (exp (- x))))) (* (cbrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (cbrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))) (cbrt (/ (- (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 x) (exp (- x))))) (sqrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (sqrt (/ (- (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)))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) 1) (/ (cbrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) 1) (/ (cbrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ (sqrt (- (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (exp x) (exp (- x)))) 1) (/ (sqrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ (sqrt (- (exp x) (exp (- x)))) 1) (/ (sqrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ 1 1) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) 1) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (+ (exp x) (exp (- x)))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) 1) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ 1 1) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ 1 1) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) 1) (/ (- (exp x) (exp (- x))) 1) (/ (+ (exp x) (exp (- x))) (cbrt (- (exp x) (exp (- x))))) (/ (+ (exp x) (exp (- x))) (sqrt (- (exp x) (exp (- x))))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (- (sqrt (exp x)) (sqrt (exp (- x))))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (- (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 x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (* -1 x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.290 * * [simplify]: iteration 0 : 252 enodes (cost 836 ) 0.295 * * [simplify]: iteration 1 : 806 enodes (cost 782 ) 0.308 * * [simplify]: iteration 2 : 3319 enodes (cost 775 ) 0.380 * * [simplify]: iteration 3 : 5002 enodes (cost 775 ) 0.383 * [simplify]: Simplified to: (exp (- (exp x) (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)))) (pow (- (exp x) (exp (- x))) 3) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (+ 1 (exp (+ x x))) (pow (exp -1) (* 2 x))) (- (exp (* -1 x))) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1)) (+ (exp (* -1 x)) (exp x)) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (* -1 x))) (log (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (log (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (exp (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (pow (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 3) (* (cbrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (cbrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))) (cbrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (pow (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 3) (sqrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (sqrt (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (- (- (exp x) (exp (- x)))) (- (+ (exp x) (exp (- x)))) (/ (exp x) (+ (exp (* -1 x)) (exp x))) (/ 1 (+ 1 (exp (+ x x)))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (cbrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (/ (cbrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (/ (cbrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (/ (cbrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ (sqrt (- (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (exp x) (exp (- x)))) (/ (sqrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (/ (sqrt (- (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) 1 (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 1 (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (/ (+ (sqrt (exp x)) (sqrt (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (+ (exp x) (exp (- x)))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (/ (- (sqrt (exp x)) (sqrt (exp (- x)))) (+ (exp x) (exp (- x)))) (/ 1 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (cbrt (+ (exp x) (exp (- x))))) (/ 1 (sqrt (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) 1 (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 1 (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) (/ 1 (+ (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (/ (- (exp x) (exp (- x))) (sqrt (+ (exp x) (exp (- x))))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) (/ (+ (exp x) (exp (- x))) (cbrt (- (exp x) (exp (- x))))) (/ (+ (exp x) (exp (- x))) (sqrt (- (exp x) (exp (- x))))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (+ (exp x) (exp (- x))) (- (sqrt (exp x)) (sqrt (exp (- x))))) (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (/ (- (exp x) (exp (- x))) (- (/ (exp (+ x x)) 1) (/ (pow (exp x) -2) 1))) (* (+ (+ 1 (exp (+ x x))) (pow (exp -1) (* 2 x))) (+ (exp (* -1 x)) (exp x))) (+ (pow (exp x) -2) (+ 1 (+ 1 (exp (+ x x))))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.384 * * * [progress]: adding candidates to table 0.502 * * [progress]: iteration 2 / 4 0.502 * * * [progress]: picking best candidate 0.504 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.506 * * * [progress]: generating rewritten candidates 0.506 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.508 * * * [progress]: generating series expansions 0.508 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.508 * [approximate]: Taking taylor expansion of (tanh x) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (tanh x) in x 0.509 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.509 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.509 * [taylor]: Taking taylor expansion of (exp x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.509 * [taylor]: Taking taylor expansion of (- x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.510 * [taylor]: Taking taylor expansion of (exp x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.510 * [taylor]: Taking taylor expansion of (- x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (tanh x) in x 0.513 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.513 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.513 * [taylor]: Taking taylor expansion of (exp x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.513 * [taylor]: Taking taylor expansion of (- x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.513 * [taylor]: Taking taylor expansion of (exp x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.514 * [taylor]: Taking taylor expansion of (- x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (tanh (/ 1 x)) in (x) around 0 0.557 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 0.557 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.557 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.557 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 0.559 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 0.559 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.569 * [approximate]: Taking taylor expansion of (tanh (/ -1 x)) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 0.569 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (- (/ -1 x)))) (+ (exp (/ -1 x)) (exp (- (/ -1 x))))) 0.569 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.569 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.571 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.571 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 0.572 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (- (/ -1 x)))) (+ (exp (/ -1 x)) (exp (- (/ -1 x))))) 0.572 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.572 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.584 * * * [progress]: simplifying candidates 0.585 * [simplify]: Simplifying using # : (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (* (* (tanh x) (tanh x)) (tanh x)) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x))) 0.588 * * [simplify]: iteration 0 : 91 enodes (cost 48 ) 0.590 * * [simplify]: iteration 1 : 195 enodes (cost 45 ) 0.593 * * [simplify]: iteration 2 : 599 enodes (cost 45 ) 0.604 * * [simplify]: iteration 3 : 2891 enodes (cost 45 ) 0.654 * * [simplify]: iteration 4 : 5002 enodes (cost 45 ) 0.655 * [simplify]: Simplified to: (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)) (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))) (log (tanh x)) (exp (tanh x)) (* (cbrt (tanh x)) (cbrt (tanh x))) (cbrt (tanh x)) (pow (tanh x) 3) (sqrt (tanh x)) (sqrt (tanh x)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (tanh x) (tanh x) 0.655 * * * [progress]: adding candidates to table 0.673 * * [progress]: iteration 3 / 4 0.673 * * * [progress]: picking best candidate 0.675 * * * * [pick]: Picked # 0.675 * * * [progress]: localizing error 0.683 * * * [progress]: generating rewritten candidates 0.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.699 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.704 * * * [progress]: generating series expansions 0.704 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.704 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.704 * [taylor]: Taking taylor expansion of 1/3 in x 0.704 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.716 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.716 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.716 * [taylor]: Taking taylor expansion of 1/3 in x 0.716 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.717 * [taylor]: Taking taylor expansion of 1/3 in x 0.717 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.727 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.727 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.727 * [taylor]: Taking taylor expansion of -1/3 in x 0.727 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.728 * [taylor]: Taking taylor expansion of -1/3 in x 0.728 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.739 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.739 * [approximate]: Taking taylor expansion of (* 2/15 (pow x 5)) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.739 * [taylor]: Taking taylor expansion of 2/15 in x 0.739 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.739 * [taylor]: Taking taylor expansion of 2/15 in x 0.739 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.757 * [approximate]: Taking taylor expansion of (/ 2/15 (pow x 5)) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (/ 2/15 (pow x 5)) in x 0.757 * [taylor]: Taking taylor expansion of 2/15 in x 0.757 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (/ 2/15 (pow x 5)) in x 0.758 * [taylor]: Taking taylor expansion of 2/15 in x 0.758 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.773 * [approximate]: Taking taylor expansion of (/ -2/15 (pow x 5)) in (x) around 0 0.773 * [taylor]: Taking taylor expansion of (/ -2/15 (pow x 5)) in x 0.773 * [taylor]: Taking taylor expansion of -2/15 in x 0.773 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ -2/15 (pow x 5)) in x 0.774 * [taylor]: Taking taylor expansion of -2/15 in x 0.774 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.788 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.788 * [approximate]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x 0.788 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.788 * [taylor]: Taking taylor expansion of 2/15 in x 0.788 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.788 * [taylor]: Taking taylor expansion of 1/3 in x 0.788 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) in x 0.788 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.788 * [taylor]: Taking taylor expansion of 2/15 in x 0.788 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.789 * [taylor]: Taking taylor expansion of 1/3 in x 0.789 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.797 * [approximate]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 0.797 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in x 0.797 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.797 * [taylor]: Taking taylor expansion of 2/15 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.798 * [taylor]: Taking taylor expansion of 1/3 in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.798 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))) in x 0.799 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.799 * [taylor]: Taking taylor expansion of 2/15 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.800 * [taylor]: Taking taylor expansion of 1/3 in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.818 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.819 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.819 * [taylor]: Taking taylor expansion of 2/15 in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.820 * [taylor]: Taking taylor expansion of 1/3 in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.821 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.821 * [taylor]: Taking taylor expansion of 2/15 in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.821 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.844 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.844 * [approximate]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in (x) around 0 0.844 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.844 * [taylor]: Taking taylor expansion of 2/15 in x 0.844 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (+ x (* 2/15 (pow x 5))) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 0.845 * [taylor]: Taking taylor expansion of 2/15 in x 0.845 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.845 * [taylor]: Taking taylor expansion of x in x 0.862 * [approximate]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in (x) around 0 0.862 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.862 * [taylor]: Taking taylor expansion of 2/15 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.862 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.864 * [taylor]: Taking taylor expansion of 2/15 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.910 * [approximate]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in (x) around 0 0.910 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.910 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.910 * [taylor]: Taking taylor expansion of 2/15 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.910 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (- (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (* 2/15 (/ 1 (pow x 5))) (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (* 2/15 (/ 1 (pow x 5))) in x 0.911 * [taylor]: Taking taylor expansion of 2/15 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 0.911 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.955 * * * [progress]: simplifying candidates 0.957 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 2/15) (* (log x) 5)) (+ (log 2/15) (* (log x) 5)) (+ (log 2/15) (log (pow x 5))) (log (* 2/15 (pow x 5))) (exp (* 2/15 (pow x 5))) (* (* (* 2/15 2/15) 2/15) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 2/15 (pow x 5))) (cbrt (* 2/15 (pow x 5)))) (cbrt (* 2/15 (pow x 5))) (* (* (* 2/15 (pow x 5)) (* 2/15 (pow x 5))) (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (pow x (/ 5 2))) (* (sqrt 2/15) (pow x (/ 5 2))) (* 2/15 (pow (* (cbrt x) (cbrt x)) 5)) (* 2/15 (pow (sqrt x) 5)) (* 2/15 (pow 1 5)) (* 2/15 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 2/15 (sqrt (pow x 5))) (* 2/15 1) (* 2/15 (pow x (/ 5 2))) (* (cbrt 2/15) (pow x 5)) (* (sqrt 2/15) (pow x 5)) (* 2/15 (pow x 5)) (/ (* (exp x) (exp (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3)))) (/ (exp (+ x (* 2/15 (pow x 5)))) (exp (* 1/3 (pow x 3)))) (log (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (* (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (pow (+ x (* 2/15 (pow x 5))) 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5)))) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (- (* 1/3 (pow x 3))) (- (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5)))) (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3)))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (* (exp x) (exp (* 2/15 (pow x 5)))) (log (+ x (* 2/15 (pow x 5)))) (exp (+ x (* 2/15 (pow x 5)))) (* (cbrt (+ x (* 2/15 (pow x 5)))) (cbrt (+ x (* 2/15 (pow x 5))))) (cbrt (+ x (* 2/15 (pow x 5)))) (* (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5)))) (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))) (+ (pow x 3) (pow (* 2/15 (pow x 5)) 3)) (+ (* x x) (- (* (* 2/15 (pow x 5)) (* 2/15 (pow x 5))) (* x (* 2/15 (pow x 5))))) (- (* x x) (* (* 2/15 (pow x 5)) (* 2/15 (pow x 5)))) (- x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))) 0.962 * * [simplify]: iteration 0 : 314 enodes (cost 427 ) 0.969 * * [simplify]: iteration 1 : 1376 enodes (cost 401 ) 1.001 * * [simplify]: iteration 2 : 5001 enodes (cost 396 ) 1.004 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* (* 1/3 x) x) (* (* 1/3 x) x) (* (* 1/3 x) x) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (log (* 2/15 (pow x 5))) (exp (* 2/15 (pow x 5))) (pow (* 2/15 (pow x 5)) 3) (* (cbrt (* 2/15 (pow x 5))) (cbrt (* 2/15 (pow x 5)))) (cbrt (* 2/15 (pow x 5))) (pow (* 2/15 (pow x 5)) 3) (sqrt (* 2/15 (pow x 5))) (sqrt (* 2/15 (pow x 5))) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (pow (sqrt x) 5)) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (sqrt (pow x 5))) (* (sqrt 2/15) (pow x 5/2)) (* (sqrt 2/15) (pow x 5/2)) (* 2/15 (pow (* (cbrt x) (cbrt x)) 5)) (* 2/15 (pow (sqrt x) 5)) 2/15 (* 2/15 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 2/15 (sqrt (pow x 5))) 2/15 (* 2/15 (pow x 5/2)) (* (cbrt 2/15) (pow x 5)) (* (sqrt 2/15) (pow x 5)) (* 2/15 (pow x 5)) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (log (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (exp (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))))) (cbrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (pow (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) 3) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (sqrt (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (- (pow (+ x (* 2/15 (pow x 5))) 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* (+ x (* 2/15 (pow x 5))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))) (* (pow x 6) 1/9)) (- (* 1/3 (pow x 3))) (+ (* (- 1/9) (pow x 6)) (* (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))))) (+ (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (exp (+ x (* 2/15 (pow x 5)))) (log (+ x (* 2/15 (pow x 5)))) (exp (+ x (* 2/15 (pow x 5)))) (* (cbrt (+ x (* 2/15 (pow x 5)))) (cbrt (+ x (* 2/15 (pow x 5))))) (cbrt (+ x (* 2/15 (pow x 5)))) (pow (+ x (* 2/15 (pow x 5))) 3) (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))) (+ (pow x 3) (pow (* 2/15 (pow x 5)) 3)) (+ (* 2/15 (- (* (pow x 10) 2/15) (pow x 6))) (* x x)) (- (* x x) (* (pow x 10) 4/225)) (- x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (* 2/15 (pow x 5)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))) (+ x (* 2/15 (pow x 5))) 1.004 * * * [progress]: adding candidates to table 1.153 * [progress]: [Phase 3 of 3] Extracting. 1.154 * * [regime]: Finding splitpoints for: (# #) 1.154 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.154 * * * * [regimes]: Trying to branch on x from (# #) 1.166 * * * [regime]: Found split indices: #