15.903 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.099 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.102 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.103 * * [simplify]: iteration 0 : 7 enodes (cost 13 ) 0.103 * * [simplify]: iteration 1 : 15 enodes (cost 13 ) 0.106 * * [simplify]: iteration 2 : 25 enodes (cost 13 ) 0.109 * * [simplify]: iteration 3 : 33 enodes (cost 13 ) 0.112 * * [simplify]: iteration 4 : 45 enodes (cost 13 ) 0.119 * * [simplify]: iteration 5 : 63 enodes (cost 13 ) 0.134 * * [simplify]: iteration 6 : 135 enodes (cost 13 ) 0.198 * * [simplify]: iteration 7 : 601 enodes (cost 13 ) 1.406 * * [simplify]: iteration 8 : 3619 enodes (cost 13 ) 6.093 * * [simplify]: iteration done : 5000 enodes (cost 13 ) 6.094 * [simplify]: Simplified to: (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 6.094 * * [progress]: iteration 1 / 4 6.094 * * * [progress]: picking best candidate 6.096 * * * * [pick]: Picked # 6.096 * * * [progress]: localizing error 6.103 * * * [progress]: generating rewritten candidates 6.103 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 6.110 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 6.142 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 6.150 * * * [progress]: generating series expansions 6.150 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 6.150 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 6.150 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.150 * [taylor]: Taking taylor expansion of (exp x) in x 6.151 * [taylor]: Taking taylor expansion of x in x 6.151 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.151 * [taylor]: Taking taylor expansion of (- x) in x 6.151 * [taylor]: Taking taylor expansion of x in x 6.151 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.151 * [taylor]: Taking taylor expansion of (exp x) in x 6.151 * [taylor]: Taking taylor expansion of x in x 6.151 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.152 * [taylor]: Taking taylor expansion of (- x) in x 6.152 * [taylor]: Taking taylor expansion of x in x 6.176 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 6.176 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.176 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.176 * [taylor]: Taking taylor expansion of x in x 6.177 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.177 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.177 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.177 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.177 * [taylor]: Taking taylor expansion of x in x 6.178 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.178 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.178 * [taylor]: Taking taylor expansion of x in x 6.181 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 6.181 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 6.181 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.181 * [taylor]: Taking taylor expansion of -1 in x 6.181 * [taylor]: Taking taylor expansion of x in x 6.182 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.182 * [taylor]: Taking taylor expansion of x in x 6.182 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 6.182 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.182 * [taylor]: Taking taylor expansion of -1 in x 6.182 * [taylor]: Taking taylor expansion of x in x 6.182 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.183 * [taylor]: Taking taylor expansion of x in x 6.186 * * * * [progress]: [ 2 / 3 ] generating series at (2) 6.186 * [approximate]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in (x) around 0 6.186 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in x 6.186 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.186 * [taylor]: Taking taylor expansion of (exp x) in x 6.186 * [taylor]: Taking taylor expansion of x in x 6.186 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.186 * [taylor]: Taking taylor expansion of (- x) in x 6.186 * [taylor]: Taking taylor expansion of x in x 6.187 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.187 * [taylor]: Taking taylor expansion of (exp x) in x 6.187 * [taylor]: Taking taylor expansion of x in x 6.187 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.187 * [taylor]: Taking taylor expansion of (- x) in x 6.187 * [taylor]: Taking taylor expansion of x in x 6.190 * [taylor]: Taking taylor expansion of (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) in x 6.190 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.190 * [taylor]: Taking taylor expansion of (exp x) in x 6.190 * [taylor]: Taking taylor expansion of x in x 6.190 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.190 * [taylor]: Taking taylor expansion of (- x) in x 6.190 * [taylor]: Taking taylor expansion of x in x 6.190 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.190 * [taylor]: Taking taylor expansion of (exp x) in x 6.190 * [taylor]: Taking taylor expansion of x in x 6.190 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.190 * [taylor]: Taking taylor expansion of (- x) in x 6.190 * [taylor]: Taking taylor expansion of x in x 6.234 * [approximate]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 6.234 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 6.234 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.234 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.234 * [taylor]: Taking taylor expansion of x in x 6.235 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.235 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.235 * [taylor]: Taking taylor expansion of x in x 6.235 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.235 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.235 * [taylor]: Taking taylor expansion of x in x 6.235 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.236 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.236 * [taylor]: Taking taylor expansion of x in x 6.236 * [taylor]: Taking taylor expansion of (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 6.236 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.236 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.236 * [taylor]: Taking taylor expansion of x in x 6.237 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.237 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.237 * [taylor]: Taking taylor expansion of x in x 6.237 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.237 * [taylor]: Taking taylor expansion of x in x 6.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.238 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.238 * [taylor]: Taking taylor expansion of x in x 6.247 * [approximate]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in (x) around 0 6.247 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 6.247 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 6.247 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.247 * [taylor]: Taking taylor expansion of -1 in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.247 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.247 * [taylor]: Taking taylor expansion of x in x 6.248 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 6.248 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.248 * [taylor]: Taking taylor expansion of x in x 6.248 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.248 * [taylor]: Taking taylor expansion of -1 in x 6.248 * [taylor]: Taking taylor expansion of x in x 6.249 * [taylor]: Taking taylor expansion of (/ (- (exp (/ -1 x)) (exp (/ 1 x))) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 6.249 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 6.249 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.249 * [taylor]: Taking taylor expansion of -1 in x 6.249 * [taylor]: Taking taylor expansion of x in x 6.249 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.249 * [taylor]: Taking taylor expansion of x in x 6.249 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 6.249 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.249 * [taylor]: Taking taylor expansion of x in x 6.250 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.250 * [taylor]: Taking taylor expansion of -1 in x 6.250 * [taylor]: Taking taylor expansion of x in x 6.258 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 6.258 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 6.258 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.258 * [taylor]: Taking taylor expansion of (exp x) in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.258 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.258 * [taylor]: Taking taylor expansion of (- x) in x 6.258 * [taylor]: Taking taylor expansion of x in x 6.259 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.259 * [taylor]: Taking taylor expansion of (exp x) in x 6.259 * [taylor]: Taking taylor expansion of x in x 6.259 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.259 * [taylor]: Taking taylor expansion of (- x) in x 6.259 * [taylor]: Taking taylor expansion of x in x 6.273 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 6.273 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.273 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.273 * [taylor]: Taking taylor expansion of x in x 6.273 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.273 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.273 * [taylor]: Taking taylor expansion of x in x 6.274 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 6.274 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.274 * [taylor]: Taking taylor expansion of x in x 6.274 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 6.274 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.274 * [taylor]: Taking taylor expansion of x in x 6.277 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 6.277 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 6.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.277 * [taylor]: Taking taylor expansion of x in x 6.277 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.277 * [taylor]: Taking taylor expansion of -1 in x 6.277 * [taylor]: Taking taylor expansion of x in x 6.277 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 6.277 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 6.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.277 * [taylor]: Taking taylor expansion of x in x 6.278 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 6.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.278 * [taylor]: Taking taylor expansion of -1 in x 6.278 * [taylor]: Taking taylor expansion of x in x 6.282 * * * [progress]: simplifying candidates 6.283 * [simplify]: Simplifying using # : (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma (sqrt (exp x)) (sqrt (exp x)) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x))))))) (fma (- (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))) (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))) (fma 1 (exp x) (- (* (sqrt (exp (- x))) (sqrt (exp (- x)))))) (fma (- (sqrt (exp (- x)))) (sqrt (exp (- x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (fma 1 (exp x) (- (* (exp (- x)) 1))) (fma (- (exp (- x))) 1 (* (exp (- x)) 1)) (expm1 (- (exp x) (exp (- x)))) (log1p (- (exp x) (exp (- x)))) (- (exp (- x))) (- (exp (- x))) (- (exp (- x))) (/ (exp (exp x)) (exp (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (expm1 (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (log1p (/ (- (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)))) (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))) (+ (* 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))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) 6.288 * * [simplify]: iteration 0 : 147 enodes (cost 1789 ) 6.313 * * [simplify]: iteration 1 : 338 enodes (cost 1599 ) 6.412 * * [simplify]: iteration 2 : 1006 enodes (cost 1426 ) 6.790 * * [simplify]: iteration done : 5000 enodes (cost 1425 ) 6.791 * [simplify]: Simplified to: (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) (exp (- x))) (* (exp (- x)) 0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) (exp (- x))) (* (exp (- x)) 0) (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (- (exp x) (exp (- x))) (* (exp (- x)) 0) (expm1 (- (exp x) (exp (- x)))) (log1p (- (exp x) (exp (- x)))) (- (exp (- x))) (- (exp (- x))) (- (exp (- x))) (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)) (+ (exp (* x -2)) (+ 1 (exp (+ x x)))) (- (exp (- x))) (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))) (+ (sqrt (exp (- x))) (sqrt (exp x))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (expm1 (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (log1p (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- 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 (- x))) (+ (exp 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 (- x))) (+ (exp 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)))) (/ 1 (+ 1 (exp (* x -2)))) (/ 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 (- x))) (+ (exp x) (exp (- x)))) 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))) (/ (- (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 (- x))) (+ (exp x) (exp (- x)))) 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))) (- (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)) (exp (* x -2)))) (* (+ (exp (* x -2)) (+ 1 (exp (+ x x)))) (+ (exp x) (exp (- x)))) (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- 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)) (+ (+ (exp (* x -2)) -1) (exp (+ x x))) (- (exp (+ x x)) (exp (* x -2))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) (- (fma (pow x 5) 2/15 x) (* 1/3 (pow x 3))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))) 6.792 * * * [progress]: adding candidates to table 6.974 * * [progress]: iteration 2 / 4 6.974 * * * [progress]: picking best candidate 6.977 * * * * [pick]: Picked # 6.977 * * * [progress]: localizing error 6.979 * * * [progress]: generating rewritten candidates 6.979 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.980 * * * [progress]: generating series expansions 6.980 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.980 * [approximate]: Taking taylor expansion of (tanh x) in (x) around 0 6.980 * [taylor]: Taking taylor expansion of (tanh x) in x 6.980 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 6.980 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.980 * [taylor]: Taking taylor expansion of (exp x) in x 6.980 * [taylor]: Taking taylor expansion of x in x 6.980 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.980 * [taylor]: Taking taylor expansion of (- x) in x 6.980 * [taylor]: Taking taylor expansion of x in x 6.981 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.981 * [taylor]: Taking taylor expansion of (exp x) in x 6.981 * [taylor]: Taking taylor expansion of x in x 6.981 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.981 * [taylor]: Taking taylor expansion of (- x) in x 6.981 * [taylor]: Taking taylor expansion of x in x 6.984 * [taylor]: Taking taylor expansion of (tanh x) in x 6.985 * [taylor]: Rewrote expression to (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 6.985 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 6.985 * [taylor]: Taking taylor expansion of (exp x) in x 6.985 * [taylor]: Taking taylor expansion of x in x 6.985 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.985 * [taylor]: Taking taylor expansion of (- x) in x 6.985 * [taylor]: Taking taylor expansion of x in x 6.985 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 6.985 * [taylor]: Taking taylor expansion of (exp x) in x 6.985 * [taylor]: Taking taylor expansion of x in x 6.985 * [taylor]: Taking taylor expansion of (exp (- x)) in x 6.985 * [taylor]: Taking taylor expansion of (- x) in x 6.985 * [taylor]: Taking taylor expansion of x in x 7.029 * [approximate]: Taking taylor expansion of (tanh (/ 1 x)) in (x) around 0 7.029 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 7.029 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 7.029 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 7.029 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.029 * [taylor]: Taking taylor expansion of x in x 7.029 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 7.029 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.030 * [taylor]: Taking taylor expansion of x in x 7.030 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 7.030 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.030 * [taylor]: Taking taylor expansion of x in x 7.030 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 7.030 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.030 * [taylor]: Taking taylor expansion of x in x 7.031 * [taylor]: Taking taylor expansion of (tanh (/ 1 x)) in x 7.031 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 x)) (exp (- (/ 1 x)))) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) 7.031 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 7.031 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.031 * [taylor]: Taking taylor expansion of x in x 7.032 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 7.032 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.032 * [taylor]: Taking taylor expansion of x in x 7.032 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 7.032 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.032 * [taylor]: Taking taylor expansion of x in x 7.033 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 7.033 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.033 * [taylor]: Taking taylor expansion of x in x 7.042 * [approximate]: Taking taylor expansion of (tanh (/ -1 x)) in (x) around 0 7.042 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 7.042 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (- (/ -1 x)))) (+ (exp (/ -1 x)) (exp (- (/ -1 x))))) 7.042 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 7.042 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.042 * [taylor]: Taking taylor expansion of -1 in x 7.042 * [taylor]: Taking taylor expansion of x in x 7.042 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 7.042 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 7.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.042 * [taylor]: Taking taylor expansion of -1 in x 7.042 * [taylor]: Taking taylor expansion of x in x 7.043 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 7.043 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.043 * [taylor]: Taking taylor expansion of -1 in x 7.043 * [taylor]: Taking taylor expansion of x in x 7.043 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 7.043 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 7.043 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.043 * [taylor]: Taking taylor expansion of -1 in x 7.043 * [taylor]: Taking taylor expansion of x in x 7.044 * [taylor]: Taking taylor expansion of (tanh (/ -1 x)) in x 7.044 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 x)) (exp (- (/ -1 x)))) (+ (exp (/ -1 x)) (exp (- (/ -1 x))))) 7.044 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 7.044 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.044 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.044 * [taylor]: Taking taylor expansion of -1 in x 7.044 * [taylor]: Taking taylor expansion of x in x 7.045 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 7.045 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 7.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.045 * [taylor]: Taking taylor expansion of -1 in x 7.045 * [taylor]: Taking taylor expansion of x in x 7.045 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) (exp (- (/ -1 x)))) in x 7.045 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.045 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.045 * [taylor]: Taking taylor expansion of -1 in x 7.045 * [taylor]: Taking taylor expansion of x in x 7.046 * [taylor]: Taking taylor expansion of (exp (- (/ -1 x))) in x 7.046 * [taylor]: Taking taylor expansion of (- (/ -1 x)) in x 7.046 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.046 * [taylor]: Taking taylor expansion of -1 in x 7.046 * [taylor]: Taking taylor expansion of x in x 7.054 * * * [progress]: simplifying candidates 7.055 * [simplify]: Simplifying using # : (expm1 (tanh x)) (log1p (tanh x)) (- (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))) 7.056 * * [simplify]: iteration 0 : 44 enodes (cost 113 ) 7.063 * * [simplify]: iteration 1 : 93 enodes (cost 87 ) 7.077 * * [simplify]: iteration 2 : 209 enodes (cost 82 ) 7.119 * * [simplify]: iteration 3 : 583 enodes (cost 81 ) 7.360 * * [simplify]: iteration 4 : 2690 enodes (cost 81 ) 8.011 * * [simplify]: iteration done : 5001 enodes (cost 81 ) 8.011 * [simplify]: Simplified to: (expm1 (tanh x)) (log1p (tanh x)) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (expm1 (* 2 x)) (+ (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)) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) (tanh x) (tanh x) 8.012 * * * [progress]: adding candidates to table 8.041 * * [progress]: iteration 3 / 4 8.041 * * * [progress]: picking best candidate 8.043 * * * * [pick]: Picked # 8.043 * * * [progress]: localizing error 8.051 * * * [progress]: generating rewritten candidates 8.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 8.052 * * * [progress]: generating series expansions 8.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.052 * [approximate]: Taking taylor expansion of (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) in (x) around 0 8.053 * [taylor]: Taking taylor expansion of (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) in x 8.053 * [taylor]: Rewrote expression to (+ (* -1/3 (pow x 3)) (fma 2/15 (pow x 5) x)) 8.053 * [taylor]: Taking taylor expansion of (* -1/3 (pow x 3)) in x 8.053 * [taylor]: Taking taylor expansion of -1/3 in x 8.053 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.053 * [taylor]: Taking taylor expansion of (fma 2/15 (pow x 5) x) in x 8.053 * [taylor]: Rewrote expression to (+ (* 2/15 (pow x 5)) x) 8.053 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 8.053 * [taylor]: Taking taylor expansion of 2/15 in x 8.053 * [taylor]: Taking taylor expansion of (pow x 5) in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.053 * [taylor]: Taking taylor expansion of (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) in x 8.053 * [taylor]: Rewrote expression to (+ (* -1/3 (pow x 3)) (fma 2/15 (pow x 5) x)) 8.053 * [taylor]: Taking taylor expansion of (* -1/3 (pow x 3)) in x 8.053 * [taylor]: Taking taylor expansion of -1/3 in x 8.053 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.053 * [taylor]: Taking taylor expansion of (fma 2/15 (pow x 5) x) in x 8.053 * [taylor]: Rewrote expression to (+ (* 2/15 (pow x 5)) x) 8.053 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 8.053 * [taylor]: Taking taylor expansion of 2/15 in x 8.053 * [taylor]: Taking taylor expansion of (pow x 5) in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.053 * [taylor]: Taking taylor expansion of x in x 8.062 * [approximate]: Taking taylor expansion of (fma -1/3 (pow (/ 1 x) 3) (fma 2/15 (pow (/ 1 x) 5) (/ 1 x))) in (x) around 0 8.062 * [taylor]: Taking taylor expansion of (fma -1/3 (pow (/ 1 x) 3) (fma 2/15 (pow (/ 1 x) 5) (/ 1 x))) in x 8.062 * [taylor]: Rewrote expression to (+ (* -1/3 (pow (/ 1 x) 3)) (fma 2/15 (pow (/ 1 x) 5) (/ 1 x))) 8.062 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 x) 3)) in x 8.062 * [taylor]: Taking taylor expansion of -1/3 in x 8.062 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 8.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.062 * [taylor]: Taking taylor expansion of x in x 8.062 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ 1 x) 5) (/ 1 x)) in x 8.062 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ 1 x) 5)) (/ 1 x)) 8.062 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x 8.062 * [taylor]: Taking taylor expansion of 2/15 in x 8.062 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 8.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.062 * [taylor]: Taking taylor expansion of x in x 8.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.063 * [taylor]: Taking taylor expansion of x in x 8.063 * [taylor]: Taking taylor expansion of (fma -1/3 (pow (/ 1 x) 3) (fma 2/15 (pow (/ 1 x) 5) (/ 1 x))) in x 8.063 * [taylor]: Rewrote expression to (+ (* -1/3 (pow (/ 1 x) 3)) (fma 2/15 (pow (/ 1 x) 5) (/ 1 x))) 8.063 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ 1 x) 3)) in x 8.063 * [taylor]: Taking taylor expansion of -1/3 in x 8.063 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 3) in x 8.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.063 * [taylor]: Taking taylor expansion of x in x 8.063 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ 1 x) 5) (/ 1 x)) in x 8.063 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ 1 x) 5)) (/ 1 x)) 8.063 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x 8.063 * [taylor]: Taking taylor expansion of 2/15 in x 8.063 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 8.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.063 * [taylor]: Taking taylor expansion of x in x 8.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.064 * [taylor]: Taking taylor expansion of x in x 8.082 * [approximate]: Taking taylor expansion of (fma -1/3 (pow (/ -1 x) 3) (fma 2/15 (pow (/ -1 x) 5) (/ -1 x))) in (x) around 0 8.082 * [taylor]: Taking taylor expansion of (fma -1/3 (pow (/ -1 x) 3) (fma 2/15 (pow (/ -1 x) 5) (/ -1 x))) in x 8.082 * [taylor]: Rewrote expression to (+ (* -1/3 (pow (/ -1 x) 3)) (fma 2/15 (pow (/ -1 x) 5) (/ -1 x))) 8.082 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 x) 3)) in x 8.082 * [taylor]: Taking taylor expansion of -1/3 in x 8.082 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 8.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.082 * [taylor]: Taking taylor expansion of -1 in x 8.082 * [taylor]: Taking taylor expansion of x in x 8.082 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ -1 x) 5) (/ -1 x)) in x 8.082 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ -1 x) 5)) (/ -1 x)) 8.082 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ -1 x) 5)) in x 8.082 * [taylor]: Taking taylor expansion of 2/15 in x 8.082 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 8.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.082 * [taylor]: Taking taylor expansion of -1 in x 8.082 * [taylor]: Taking taylor expansion of x in x 8.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.083 * [taylor]: Taking taylor expansion of -1 in x 8.083 * [taylor]: Taking taylor expansion of x in x 8.083 * [taylor]: Taking taylor expansion of (fma -1/3 (pow (/ -1 x) 3) (fma 2/15 (pow (/ -1 x) 5) (/ -1 x))) in x 8.083 * [taylor]: Rewrote expression to (+ (* -1/3 (pow (/ -1 x) 3)) (fma 2/15 (pow (/ -1 x) 5) (/ -1 x))) 8.083 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 x) 3)) in x 8.083 * [taylor]: Taking taylor expansion of -1/3 in x 8.083 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 3) in x 8.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.083 * [taylor]: Taking taylor expansion of -1 in x 8.083 * [taylor]: Taking taylor expansion of x in x 8.084 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ -1 x) 5) (/ -1 x)) in x 8.084 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ -1 x) 5)) (/ -1 x)) 8.084 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ -1 x) 5)) in x 8.084 * [taylor]: Taking taylor expansion of 2/15 in x 8.084 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 8.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.084 * [taylor]: Taking taylor expansion of -1 in x 8.084 * [taylor]: Taking taylor expansion of x in x 8.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.084 * [taylor]: Taking taylor expansion of -1 in x 8.084 * [taylor]: Taking taylor expansion of x in x 8.103 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 8.103 * [approximate]: Taking taylor expansion of (fma 2/15 (pow x 5) x) in (x) around 0 8.103 * [taylor]: Taking taylor expansion of (fma 2/15 (pow x 5) x) in x 8.104 * [taylor]: Rewrote expression to (+ (* 2/15 (pow x 5)) x) 8.104 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 8.104 * [taylor]: Taking taylor expansion of 2/15 in x 8.104 * [taylor]: Taking taylor expansion of (pow x 5) in x 8.104 * [taylor]: Taking taylor expansion of x in x 8.104 * [taylor]: Taking taylor expansion of x in x 8.104 * [taylor]: Taking taylor expansion of (fma 2/15 (pow x 5) x) in x 8.104 * [taylor]: Rewrote expression to (+ (* 2/15 (pow x 5)) x) 8.104 * [taylor]: Taking taylor expansion of (* 2/15 (pow x 5)) in x 8.104 * [taylor]: Taking taylor expansion of 2/15 in x 8.104 * [taylor]: Taking taylor expansion of (pow x 5) in x 8.104 * [taylor]: Taking taylor expansion of x in x 8.104 * [taylor]: Taking taylor expansion of x in x 8.127 * [approximate]: Taking taylor expansion of (fma 2/15 (pow (/ 1 x) 5) (/ 1 x)) in (x) around 0 8.127 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ 1 x) 5) (/ 1 x)) in x 8.127 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ 1 x) 5)) (/ 1 x)) 8.127 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x 8.127 * [taylor]: Taking taylor expansion of 2/15 in x 8.127 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 8.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.127 * [taylor]: Taking taylor expansion of x in x 8.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.127 * [taylor]: Taking taylor expansion of x in x 8.127 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ 1 x) 5) (/ 1 x)) in x 8.128 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ 1 x) 5)) (/ 1 x)) 8.128 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ 1 x) 5)) in x 8.128 * [taylor]: Taking taylor expansion of 2/15 in x 8.128 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 8.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.128 * [taylor]: Taking taylor expansion of x in x 8.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.128 * [taylor]: Taking taylor expansion of x in x 8.169 * [approximate]: Taking taylor expansion of (fma 2/15 (pow (/ -1 x) 5) (/ -1 x)) in (x) around 0 8.169 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ -1 x) 5) (/ -1 x)) in x 8.170 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ -1 x) 5)) (/ -1 x)) 8.170 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ -1 x) 5)) in x 8.170 * [taylor]: Taking taylor expansion of 2/15 in x 8.170 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 8.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.170 * [taylor]: Taking taylor expansion of -1 in x 8.170 * [taylor]: Taking taylor expansion of x in x 8.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.170 * [taylor]: Taking taylor expansion of -1 in x 8.170 * [taylor]: Taking taylor expansion of x in x 8.170 * [taylor]: Taking taylor expansion of (fma 2/15 (pow (/ -1 x) 5) (/ -1 x)) in x 8.170 * [taylor]: Rewrote expression to (+ (* 2/15 (pow (/ -1 x) 5)) (/ -1 x)) 8.170 * [taylor]: Taking taylor expansion of (* 2/15 (pow (/ -1 x) 5)) in x 8.170 * [taylor]: Taking taylor expansion of 2/15 in x 8.170 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 8.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.170 * [taylor]: Taking taylor expansion of -1 in x 8.170 * [taylor]: Taking taylor expansion of x in x 8.171 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.171 * [taylor]: Taking taylor expansion of -1 in x 8.171 * [taylor]: Taking taylor expansion of x in x 8.219 * * * [progress]: simplifying candidates 8.219 * [simplify]: Simplifying using # : (expm1 (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (* -1/3 (pow x 3)) (log (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (exp (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (* (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)))) (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (* (* (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (sqrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (sqrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (expm1 (fma 2/15 (pow x 5) x)) (log1p (fma 2/15 (pow x 5) x)) (* 2/15 (pow x 5)) (log (fma 2/15 (pow x 5) x)) (exp (fma 2/15 (pow x 5) x)) (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x)) (* (* (fma 2/15 (pow x 5) x) (fma 2/15 (pow x 5) x)) (fma 2/15 (pow x 5) x)) (sqrt (fma 2/15 (pow x 5) x)) (sqrt (fma 2/15 (pow x 5) x)) (- (+ 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))) 8.221 * * [simplify]: iteration 0 : 33 enodes (cost 298 ) 8.225 * * [simplify]: iteration 1 : 56 enodes (cost 292 ) 8.236 * * [simplify]: iteration 2 : 154 enodes (cost 255 ) 8.273 * * [simplify]: iteration 3 : 591 enodes (cost 255 ) 8.512 * * [simplify]: iteration 4 : 3525 enodes (cost 255 ) 10.008 * * [simplify]: iteration done : 5000 enodes (cost 255 ) 10.008 * [simplify]: Simplified to: (expm1 (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (log1p (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (* -1/3 (pow x 3)) (log (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (exp (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (* (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)))) (cbrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (pow (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) 3) (sqrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (sqrt (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x))) (expm1 (fma 2/15 (pow x 5) x)) (log1p (fma 2/15 (pow x 5) x)) (* 2/15 (pow x 5)) (log (fma 2/15 (pow x 5) x)) (exp (fma 2/15 (pow x 5) x)) (* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x))) (cbrt (fma 2/15 (pow x 5) x)) (pow (fma 2/15 (pow x 5) x) 3) (sqrt (fma 2/15 (pow x 5) x)) (sqrt (fma 2/15 (pow x 5) x)) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) (fma -1/3 (pow x 3) (fma 2/15 (pow x 5) x)) (fma 2/15 (pow x 5) x) (fma 2/15 (pow x 5) x) (fma 2/15 (pow x 5) x) 10.008 * * * [progress]: adding candidates to table 10.072 * [progress]: [Phase 3 of 3] Extracting. 10.072 * * [regime]: Finding splitpoints for: (# #) 10.072 * * * [regime-changes]: Trying 1 branch expressions: (x) 10.072 * * * * [regimes]: Trying to branch on x from (# #) 10.083 * * * [regime]: Found split indices: #