36.684 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.097 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.102 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.103 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.104 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.105 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.107 * * [simplify]: iteration 4 : 63 enodes (cost 9 ) 0.109 * * [simplify]: iteration 5 : 179 enodes (cost 9 ) 0.113 * * [simplify]: iteration 6 : 1184 enodes (cost 9 ) 0.144 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.144 * [simplify]: Simplified to: (* 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) 0.148 * * [progress]: iteration 1 / 4 0.148 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.159 * * * [progress]: generating rewritten candidates 0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.162 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.163 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.163 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.163 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.163 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.163 * [taylor]: Taking taylor expansion of 2 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of 1 in x 0.164 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.164 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.164 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.164 * [taylor]: Taking taylor expansion of 1 in x 0.164 * [taylor]: Taking taylor expansion of 1 in x 0.164 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.165 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.165 * [taylor]: Taking taylor expansion of 2 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.168 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.168 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.168 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.168 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.168 * [taylor]: Taking taylor expansion of 2 in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1 in x 0.168 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.169 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.169 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.169 * [taylor]: Taking taylor expansion of 1 in x 0.169 * [taylor]: Taking taylor expansion of 1 in x 0.169 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.169 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.169 * [taylor]: Taking taylor expansion of 2 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.196 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.196 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.196 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.196 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 2 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1 in x 0.197 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.197 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.197 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.197 * [taylor]: Taking taylor expansion of 1 in x 0.197 * [taylor]: Taking taylor expansion of 1 in x 0.197 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 2 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.198 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.198 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.199 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 2 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.199 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.199 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 2 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.215 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.215 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.215 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 2 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 1 in x 0.216 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.216 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.216 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.216 * [taylor]: Taking taylor expansion of 1 in x 0.216 * [taylor]: Taking taylor expansion of 1 in x 0.216 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of 2 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.218 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.218 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.218 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.218 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 2 in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of 1 in x 0.219 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.219 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.219 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.219 * [taylor]: Taking taylor expansion of 1 in x 0.219 * [taylor]: Taking taylor expansion of 1 in x 0.219 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.219 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 2 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.232 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.232 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.232 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.232 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.232 * [taylor]: Taking taylor expansion of 2 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.233 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.233 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.233 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.233 * [taylor]: Taking taylor expansion of 2 in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.238 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.238 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [taylor]: Taking taylor expansion of 1 in x 0.238 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.239 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.239 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [taylor]: Taking taylor expansion of 1 in x 0.239 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 2 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.245 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.245 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.245 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of 1 in x 0.245 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.245 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 2 in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.246 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.246 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.246 * [taylor]: Taking taylor expansion of 1 in x 0.246 * [taylor]: Taking taylor expansion of 1 in x 0.246 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.246 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of 2 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.252 * * * [progress]: simplifying candidates 0.253 * [simplify]: Simplifying using # : (expm1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log1p (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (log (expm1 (+ x x))) (log (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (exp (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (/ (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (* (* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x))))) (* (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (* (* (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (expm1 (+ x x))) (- (fma 1 1 (exp (+ x x)))) (/ (exp (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (fma 1 1 (exp (+ x x)))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (cbrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) 1) (/ (cbrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) 1) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (sqrt (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) (sqrt (fma 1 1 (exp (+ x x))))) (/ 1 1) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (fma 1 1 (exp (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (sqrt (fma 1 1 (exp (+ x x))))) (/ (expm1 (+ x x)) 1) (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (sqrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) (* 1 1) (log (fma 1 1 (exp (+ x x)))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (* (* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x)))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) 0.257 * * [simplify]: iteration 0 : 150 enodes (cost 395 ) 0.260 * * [simplify]: iteration 1 : 512 enodes (cost 351 ) 0.270 * * [simplify]: iteration 2 : 2464 enodes (cost 344 ) 0.324 * * [simplify]: iteration 3 : 5002 enodes (cost 343 ) 0.326 * [simplify]: Simplified to: (expm1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log1p (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (log (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (exp (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (pow (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) 3) (* (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))))) (cbrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (pow (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) 3) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (sqrt (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) (- (expm1 (+ x x))) (- (fma 1 1 (exp (+ x x)))) (/ (exp (* 2 x)) (+ (exp (* 2 x)) 1)) (/ 1 (+ (exp (* 2 x)) 1)) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (/ (cbrt (expm1 (+ x x))) 1) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ (cbrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (cbrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (+ x x)) (cbrt (fma 1 1 (exp (+ x x))))) (/ 1 (/ (hypot 1 (exp x)) 1)) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (expm1 (* 2 x)) (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (sqrt (expm1 (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) 1 (log1p (exp (* 2 x))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (pow (+ (exp (* 2 x)) 1) 3) (hypot 1 (exp x)) (hypot 1 (exp x)) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x)))) (fma x (fma 2 x 2) 2) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) 0.327 * * * [progress]: adding candidates to table 0.442 * * [progress]: iteration 2 / 4 0.442 * * * [progress]: picking best candidate 0.448 * * * * [pick]: Picked # 0.448 * * * [progress]: localizing error 0.459 * * * [progress]: generating rewritten candidates 0.459 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.462 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 0.462 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.467 * * * [progress]: generating series expansions 0.467 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.467 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.467 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.467 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.468 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.468 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.469 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.469 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.469 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.469 * [taylor]: Taking taylor expansion of 1 in x 0.469 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.469 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.469 * [taylor]: Taking taylor expansion of 2 in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.473 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.473 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.473 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.473 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.473 * [taylor]: Taking taylor expansion of 2 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.474 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.474 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.474 * [taylor]: Taking taylor expansion of 1 in x 0.474 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.474 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.474 * [taylor]: Taking taylor expansion of 2 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.522 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.522 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.522 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.522 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of 2 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1 in x 0.523 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.523 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.523 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.523 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.523 * [taylor]: Taking taylor expansion of 1 in x 0.523 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.523 * [taylor]: Taking taylor expansion of 2 in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.524 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.524 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.524 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of 2 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.524 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.524 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.524 * [taylor]: Taking taylor expansion of 1 in x 0.524 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.524 * [taylor]: Taking taylor expansion of 2 in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.566 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.566 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.566 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.566 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 2 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1 in x 0.567 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.567 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.567 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.567 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.567 * [taylor]: Taking taylor expansion of 1 in x 0.567 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.567 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.567 * [taylor]: Taking taylor expansion of -2 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.568 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.568 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.568 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 2 in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 1 in x 0.569 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.569 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.569 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.569 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1 in x 0.569 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.569 * [taylor]: Taking taylor expansion of -2 in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.604 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 0.604 * [approximate]: Taking taylor expansion of (log1p (exp (* 2 x))) in (x) around 0 0.604 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.604 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.604 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.604 * [taylor]: Taking taylor expansion of 1 in x 0.604 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.604 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.604 * [taylor]: Taking taylor expansion of 2 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.605 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.605 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.606 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.606 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.606 * [taylor]: Taking taylor expansion of 2 in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.612 * [approximate]: Taking taylor expansion of (log1p (exp (/ 2 x))) in (x) around 0 0.612 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.612 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.612 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.612 * [taylor]: Taking taylor expansion of 1 in x 0.612 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.612 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.612 * [taylor]: Taking taylor expansion of 2 in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.613 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.613 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1 in x 0.613 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.613 * [taylor]: Taking taylor expansion of 2 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.639 * [approximate]: Taking taylor expansion of (log1p (exp (/ -2 x))) in (x) around 0 0.639 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.639 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.639 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.639 * [taylor]: Taking taylor expansion of 1 in x 0.639 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.639 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.639 * [taylor]: Taking taylor expansion of -2 in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.640 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.640 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.640 * [taylor]: Taking taylor expansion of 1 in x 0.640 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.640 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.640 * [taylor]: Taking taylor expansion of -2 in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.661 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.661 * [approximate]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.661 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.661 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.661 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.661 * [taylor]: Taking taylor expansion of 1 in x 0.661 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.661 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.661 * [taylor]: Taking taylor expansion of 2 in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.663 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.663 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.663 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.663 * [taylor]: Taking taylor expansion of 1 in x 0.663 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.663 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.663 * [taylor]: Taking taylor expansion of 2 in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.673 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.673 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.673 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.673 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.673 * [taylor]: Taking taylor expansion of 1 in x 0.673 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.673 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.673 * [taylor]: Taking taylor expansion of 2 in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.674 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.674 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.674 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1 in x 0.674 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.674 * [taylor]: Taking taylor expansion of 2 in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.703 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.703 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.704 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.704 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.704 * [taylor]: Taking taylor expansion of 1 in x 0.704 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.704 * [taylor]: Taking taylor expansion of -2 in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.704 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.704 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.704 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.704 * [taylor]: Taking taylor expansion of 1 in x 0.704 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.704 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.704 * [taylor]: Taking taylor expansion of -2 in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.739 * * * [progress]: simplifying candidates 0.740 * [simplify]: Simplifying using # : (expm1 (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (log1p (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (log (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (exp (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (/ (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x))) (* (* (exp (log1p (exp (* 2 x)))) (exp (log1p (exp (* 2 x))))) (exp (log1p (exp (* 2 x)))))) (* (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))))) (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (* (* (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))) (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (sqrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (sqrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (- (expm1 (+ x x))) (- (exp (log1p (exp (* 2 x))))) (/ (exp (+ x x)) (exp (log1p (exp (* 2 x))))) (/ 1 (exp (log1p (exp (* 2 x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (cbrt (expm1 (+ x x))) (cbrt (exp (log1p (exp (* 2 x)))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (cbrt (expm1 (+ x x))) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) 1) (/ (cbrt (expm1 (+ x x))) (exp (log1p (exp (* 2 x))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (sqrt (expm1 (+ x x))) (cbrt (exp (log1p (exp (* 2 x)))))) (/ (sqrt (expm1 (+ x x))) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (sqrt (expm1 (+ x x))) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (sqrt (expm1 (+ x x))) 1) (/ (sqrt (expm1 (+ x x))) (exp (log1p (exp (* 2 x))))) (/ 1 (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (expm1 (+ x x)) (cbrt (exp (log1p (exp (* 2 x)))))) (/ 1 (sqrt (exp (log1p (exp (* 2 x)))))) (/ (expm1 (+ x x)) (sqrt (exp (log1p (exp (* 2 x)))))) (/ 1 1) (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))) (/ 1 (exp (log1p (exp (* 2 x))))) (/ (exp (log1p (exp (* 2 x)))) (expm1 (+ x x))) (/ (expm1 (+ x x)) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (expm1 (+ x x)) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (expm1 (+ x x)) 1) (/ (exp (log1p (exp (* 2 x)))) (cbrt (expm1 (+ x x)))) (/ (exp (log1p (exp (* 2 x)))) (sqrt (expm1 (+ x x)))) (/ (exp (log1p (exp (* 2 x)))) (expm1 (+ x x))) (+ 1 (exp (* 2 x))) (expm1 (log1p (exp (* 2 x)))) (log1p (log1p (exp (* 2 x)))) (log (log1p (exp (* 2 x)))) (exp (log1p (exp (* 2 x)))) (* (cbrt (log1p (exp (* 2 x)))) (cbrt (log1p (exp (* 2 x))))) (cbrt (log1p (exp (* 2 x)))) (* (* (log1p (exp (* 2 x))) (log1p (exp (* 2 x)))) (log1p (exp (* 2 x)))) (sqrt (log1p (exp (* 2 x)))) (sqrt (log1p (exp (* 2 x)))) (expm1 (exp (log1p (exp (* 2 x))))) (log1p (exp (log1p (exp (* 2 x))))) (exp (* (cbrt (log1p (exp (* 2 x)))) (cbrt (log1p (exp (* 2 x)))))) (exp (sqrt (log1p (exp (* 2 x))))) (exp 1) (log (exp (log1p (exp (* 2 x))))) (exp (exp (log1p (exp (* 2 x))))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x)))))) (cbrt (exp (log1p (exp (* 2 x))))) (* (* (exp (log1p (exp (* 2 x)))) (exp (log1p (exp (* 2 x))))) (exp (log1p (exp (* 2 x))))) (sqrt (exp (log1p (exp (* 2 x))))) (sqrt (exp (log1p (exp (* 2 x))))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1)) (+ (* 1/2 (pow x 2)) (+ x (log 2))) (log (+ (exp (* 2 x)) 1)) (log (+ (exp (* 2 x)) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) 0.744 * * [simplify]: iteration 0 : 182 enodes (cost 523 ) 0.748 * * [simplify]: iteration 1 : 556 enodes (cost 477 ) 0.759 * * [simplify]: iteration 2 : 2509 enodes (cost 465 ) 0.806 * * [simplify]: iteration 3 : 5001 enodes (cost 451 ) 0.809 * [simplify]: Simplified to: (expm1 (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (log1p (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (- (log (expm1 (+ x x))) (log1p (exp (* 2 x)))) (exp (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (pow (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))) 3) (* (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))))) (cbrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (pow (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x))))) 3) (sqrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (sqrt (/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))) (- (expm1 (+ x x))) (- (exp (log1p (exp (* 2 x))))) (exp (- (+ x x) (log1p (exp (* 2 x))))) (/ 1 (+ (exp (* 2 x)) 1)) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (cbrt (expm1 (+ x x))) (cbrt (exp (log1p (exp (* 2 x)))))) (* (/ (cbrt (expm1 (+ x x))) (hypot (exp x) 1)) (cbrt (expm1 (+ x x)))) (/ (cbrt (expm1 (+ x x))) (hypot (exp x) 1)) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ (cbrt (expm1 (+ x x))) (exp (log1p (exp (* 2 x))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (sqrt (expm1 (+ x x))) (cbrt (exp (log1p (exp (* 2 x)))))) (/ (sqrt (expm1 (+ x x))) (sqrt (exp (log1p (exp (* 2 x)))))) (/ (sqrt (expm1 (+ x x))) (sqrt (exp (log1p (exp (* 2 x)))))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (+ 1 (exp (* 2 x)))) (/ 1 (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (expm1 (+ x x)) (cbrt (exp (log1p (exp (* 2 x)))))) (/ 1 (sqrt (exp (log1p (exp (* 2 x)))))) (/ (expm1 (+ x x)) (sqrt (exp (log1p (exp (* 2 x)))))) 1 (/ (expm1 (* 2 x)) (+ 1 (exp (* 2 x)))) (/ 1 (+ (exp (* 2 x)) 1)) (/ (+ 1 (exp (* 2 x))) (expm1 (* 2 x))) (/ (expm1 (+ x x)) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x))))))) (/ (expm1 (+ x x)) (sqrt (exp (log1p (exp (* 2 x)))))) (expm1 (* 2 x)) (/ (exp (log1p (exp (* 2 x)))) (cbrt (expm1 (+ x x)))) (/ (+ 1 (exp (* 2 x))) (sqrt (expm1 (+ x x)))) (/ (+ 1 (exp (* 2 x))) (expm1 (* 2 x))) (+ 1 (exp (* 2 x))) (exp (* 2 x)) (log1p (log1p (exp (* 2 x)))) (log (log1p (exp (* 2 x)))) (+ 1 (exp (* 2 x))) (* (cbrt (log1p (exp (* 2 x)))) (cbrt (log1p (exp (* 2 x))))) (cbrt (log1p (exp (* 2 x)))) (pow (log1p (exp (* 2 x))) 3) (sqrt (log1p (exp (* 2 x)))) (sqrt (log1p (exp (* 2 x)))) (expm1 (exp (log1p (exp (* 2 x))))) (log1p (exp (log1p (exp (* 2 x))))) (exp (* (cbrt (log1p (exp (* 2 x)))) (cbrt (log1p (exp (* 2 x)))))) (exp (sqrt (log1p (exp (* 2 x))))) E (log1p (exp (* 2 x))) (pow E (+ 1 (exp (* 2 x)))) (* (cbrt (exp (log1p (exp (* 2 x))))) (cbrt (exp (log1p (exp (* 2 x)))))) (cbrt (exp (log1p (exp (* 2 x))))) (pow (+ 1 (exp (* 2 x))) 3) (hypot (exp x) 1) (hypot (exp x) 1) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (* 2 x)) (+ 1 (exp (* 2 x)))) (/ (expm1 (* 2 x)) (+ 1 (exp (* 2 x)))) (fma 1/2 (pow x 2) (+ x (log 2))) (log1p (exp (* 2 x))) (log1p (exp (* 2 x))) (fma x (fma 2 x 2) 2) (+ 1 (exp (* 2 x))) (+ 1 (exp (* 2 x))) 0.809 * * * [progress]: adding candidates to table 0.971 * * [progress]: iteration 3 / 4 0.971 * * * [progress]: picking best candidate 0.975 * * * * [pick]: Picked # 0.975 * * * [progress]: localizing error 0.984 * * * [progress]: generating rewritten candidates 0.984 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.986 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.991 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1) 0.995 * * * [progress]: generating series expansions 0.995 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.995 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in x 0.995 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.996 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.996 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.996 * [taylor]: Taking taylor expansion of 1 in x 0.996 * [taylor]: Taking taylor expansion of 1 in x 0.996 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.996 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.996 * [taylor]: Taking taylor expansion of 2 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.997 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.997 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.997 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.997 * [taylor]: Taking taylor expansion of 2 in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of 1 in x 1.000 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 x))) (expm1 (* 2 x))) in x 1.000 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.000 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.000 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.000 * [taylor]: Taking taylor expansion of 1 in x 1.000 * [taylor]: Taking taylor expansion of 1 in x 1.000 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.000 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.000 * [taylor]: Taking taylor expansion of 2 in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.001 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.001 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.001 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.001 * [taylor]: Taking taylor expansion of 2 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in (x) around 0 1.034 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in x 1.034 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.034 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.034 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.034 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.034 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of 2 in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.035 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.035 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of 2 in x 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of 1 in x 1.036 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (* 2 (/ 1 x)))) (expm1 (* 2 (/ 1 x)))) in x 1.036 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.036 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.037 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.037 * [taylor]: Taking taylor expansion of 1 in x 1.037 * [taylor]: Taking taylor expansion of 1 in x 1.037 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.037 * [taylor]: Taking taylor expansion of 2 in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.037 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.037 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.037 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.037 * [taylor]: Taking taylor expansion of 2 in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [approximate]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in x 1.049 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.049 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.049 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.049 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [taylor]: Taking taylor expansion of 1 in x 1.049 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.049 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.049 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of 2 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.050 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.050 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.050 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of 2 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 1 in x 1.052 * [taylor]: Taking taylor expansion of (/ (fma 1 1 (exp (- (* 2 (/ 1 x))))) (expm1 (- (* 2 (/ 1 x))))) in x 1.052 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.052 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.052 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.052 * [taylor]: Taking taylor expansion of 1 in x 1.052 * [taylor]: Taking taylor expansion of 1 in x 1.052 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.052 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.052 * [taylor]: Taking taylor expansion of 2 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.053 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.053 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.053 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of 2 in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of 1 in x 1.065 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.065 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 1.066 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 1.066 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.066 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.066 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.066 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.066 * [taylor]: Taking taylor expansion of 2 in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of 1 in x 1.067 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.067 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.067 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.067 * [taylor]: Taking taylor expansion of 1 in x 1.067 * [taylor]: Taking taylor expansion of 1 in x 1.067 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.067 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.067 * [taylor]: Taking taylor expansion of 2 in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.070 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 1.070 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.071 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.071 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.071 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.071 * [taylor]: Taking taylor expansion of 2 in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of 1 in x 1.071 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.072 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.072 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.072 * [taylor]: Taking taylor expansion of 1 in x 1.072 * [taylor]: Taking taylor expansion of 1 in x 1.072 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.072 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.072 * [taylor]: Taking taylor expansion of 2 in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.099 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 1.099 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.099 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.100 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.100 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of 2 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of 1 in x 1.100 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.100 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.100 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.100 * [taylor]: Taking taylor expansion of 1 in x 1.100 * [taylor]: Taking taylor expansion of 1 in x 1.100 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of 2 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.102 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 1.102 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 1.102 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.102 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.102 * [taylor]: Taking taylor expansion of 2 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of 1 in x 1.102 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.103 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.103 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.103 * [taylor]: Taking taylor expansion of 1 in x 1.103 * [taylor]: Taking taylor expansion of 1 in x 1.103 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of 2 in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.119 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.120 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.120 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.120 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 2 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1 in x 1.121 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.121 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.121 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.121 * [taylor]: Taking taylor expansion of 1 in x 1.121 * [taylor]: Taking taylor expansion of 1 in x 1.121 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.121 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 2 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.123 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 1.123 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 1.123 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.123 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of 2 in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1 in x 1.124 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.124 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.124 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.124 * [taylor]: Taking taylor expansion of 1 in x 1.124 * [taylor]: Taking taylor expansion of 1 in x 1.124 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.124 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.124 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of 2 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.136 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1) 1.136 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.137 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.137 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.137 * [taylor]: Taking taylor expansion of 1 in x 1.137 * [taylor]: Taking taylor expansion of 1 in x 1.137 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.137 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.137 * [taylor]: Taking taylor expansion of 2 in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.137 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.138 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.138 * [taylor]: Taking taylor expansion of 1 in x 1.138 * [taylor]: Taking taylor expansion of 1 in x 1.138 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.138 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.138 * [taylor]: Taking taylor expansion of 2 in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.142 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.143 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.143 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of 2 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.143 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.143 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of 1 in x 1.143 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of 2 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.149 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 1.150 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.150 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.150 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.150 * [taylor]: Taking taylor expansion of 1 in x 1.150 * [taylor]: Taking taylor expansion of 1 in x 1.150 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.150 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.150 * [taylor]: Taking taylor expansion of 2 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.151 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.151 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.151 * [taylor]: Taking taylor expansion of 1 in x 1.151 * [taylor]: Taking taylor expansion of 1 in x 1.151 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.151 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of 2 in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.157 * * * [progress]: simplifying candidates 1.159 * [simplify]: Simplifying using # : (expm1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (log1p (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (- (log (fma 1 1 (exp (+ x x)))) (log (expm1 (+ x x)))) (log (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (exp (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))) (/ (* (* (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x)))) (fma 1 1 (exp (+ x x)))) (* (* (expm1 (+ x x)) (expm1 (+ x x))) (expm1 (+ x x)))) (* (cbrt (/ 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x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (/ 1 (/ (fma 1 1 (exp (+ x x))) (cbrt (expm1 (+ x x))))) (sqrt (expm1 (+ x x))) (/ (sqrt (expm1 (+ x x))) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) 1 (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (* 2 x)) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (/ 1 (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (cbrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ 1 (sqrt (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (expm1 (+ x x))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ 1 (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (hypot 1 (exp x))) (/ (sqrt (expm1 (+ x x))) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (* (cbrt (expm1 (+ x x))) (cbrt (expm1 (+ x x)))) (sqrt (expm1 (+ x x))) 1 1 (/ 1 (+ (exp (* 2 x)) 1)) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ 1 (+ (exp (* 2 x)) 1)) (expm1 (fma 1 1 (exp (+ x x)))) (log1p (fma 1 1 (exp (+ x x)))) 1 (log1p (exp (* 2 x))) (exp (fma 1 1 (exp (+ x x)))) (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))) (cbrt (fma 1 1 (exp (+ x x)))) (pow (fma 1 1 (exp (+ x x))) 3) (hypot 1 (exp x)) (hypot 1 (exp x)) (fma x 1/3 (- (/ 1 x) (* 1/45 (pow x 3)))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (/ (expm1 (* 2 x)) (fma 1 1 (exp (+ x x)))) (fma 2 (pow x 2) (fma 2 x 2)) (fma 1 1 (exp (+ x x))) (fma 1 1 (exp (+ x x))) 1.208 * * * [progress]: adding candidates to table 1.430 * * [progress]: iteration 4 / 4 1.430 * * * [progress]: picking best candidate 1.432 * * * * [pick]: Picked # 1.433 * * * [progress]: localizing error 1.442 * * * [progress]: generating rewritten candidates 1.442 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 3 2) 1.449 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 3) 1.451 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.453 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 3 2) 1.453 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.453 * [taylor]: Taking taylor expansion of 1/3 in x 1.453 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.453 * [taylor]: Taking taylor expansion of 1/3 in x 1.453 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.470 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.470 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.470 * [taylor]: Taking taylor expansion of 1/3 in x 1.470 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.470 * [taylor]: Taking taylor expansion of 1/3 in x 1.470 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.481 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.481 * [taylor]: Taking taylor expansion of -1/3 in x 1.481 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.482 * [taylor]: Taking taylor expansion of -1/3 in x 1.482 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.493 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 3) 1.493 * [approximate]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in (x) around 0 1.493 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.493 * [taylor]: Taking taylor expansion of 1/3 in x 1.493 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.494 * [taylor]: Taking taylor expansion of 1/3 in x 1.494 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.509 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 1.509 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.509 * [taylor]: Taking taylor expansion of 1/3 in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.509 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.510 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.510 * [taylor]: Taking taylor expansion of 1/3 in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.510 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.544 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in (x) around 0 1.544 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.544 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.544 * [taylor]: Taking taylor expansion of 1/3 in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.544 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.545 * [taylor]: Taking taylor expansion of 1/3 in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.545 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.546 * [taylor]: Taking taylor expansion of x in x 1.573 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.573 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 1.574 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.574 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.574 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of 2/15 in x 1.574 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.574 * [taylor]: Taking taylor expansion of 1/3 in x 1.574 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.574 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.574 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.574 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of 2/15 in x 1.574 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.574 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.574 * [taylor]: Taking taylor expansion of 1/3 in x 1.574 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.582 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.582 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.582 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.582 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.582 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.582 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of 2/15 in x 1.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.583 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.583 * [taylor]: Taking taylor expansion of 1/3 in x 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.583 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.584 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.584 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.584 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.584 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.585 * [taylor]: Taking taylor expansion of 2/15 in x 1.585 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.585 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.585 * [taylor]: Taking taylor expansion of 1/3 in x 1.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.585 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.603 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 1.603 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.603 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.603 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.603 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.604 * [taylor]: Taking taylor expansion of -1 in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.604 * [taylor]: Taking taylor expansion of 2/15 in x 1.604 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.604 * [taylor]: Taking taylor expansion of 1/3 in x 1.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.604 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.604 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.605 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.605 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.605 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.605 * [taylor]: Taking taylor expansion of -1 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of 2/15 in x 1.605 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.606 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.606 * [taylor]: Taking taylor expansion of 1/3 in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.606 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.629 * * * [progress]: simplifying candidates 1.629 * [simplify]: Simplifying using # : (expm1 (* 1/3 (pow x 3))) (log1p (* 1/3 (pow x 3))) (+ (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)) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (fma (sqrt x) (sqrt x) (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (fma 1 x (- (* (pow x 3) 1/3))) (fma (- (pow x 3)) 1/3 (* (pow x 3) 1/3)) (expm1 (- x (* 1/3 (pow x 3)))) (log1p (- x (* 1/3 (pow x 3)))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (/ (exp x) (exp (* 1/3 (pow x 3)))) (log (- x (* 1/3 (pow x 3)))) (exp (- x (* 1/3 (pow x 3)))) (* (cbrt (- x (* 1/3 (pow x 3)))) (cbrt (- x (* 1/3 (pow x 3))))) (cbrt (- x (* 1/3 (pow x 3)))) (* (* (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3)))) (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (- (pow x 3) (pow (* 1/3 (pow x 3)) 3)) (+ (* x x) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* x (* 1/3 (pow x 3))))) (- (* 1/3 (pow x 3))) (- (* x x) (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3)))) (+ x (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (expm1 (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (pow x 5) 2/15) (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (exp (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (* (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (- x (* 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))) 1.634 * * [simplify]: iteration 0 : 206 enodes (cost 338 ) 1.639 * * [simplify]: iteration 1 : 835 enodes (cost 292 ) 1.672 * * [simplify]: iteration 2 : 5002 enodes (cost 292 ) 1.676 * [simplify]: Simplified to: (expm1 (* 1/3 (pow x 3))) (log1p (* 1/3 (pow x 3))) (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)) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (- x (* 1/3 (pow x 3))) (* (pow x 3) (+ (- 1/3) 1/3)) (expm1 (- x (* 1/3 (pow x 3)))) (log1p (- x (* 1/3 (pow x 3)))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (- (* 1/3 (pow x 3))) (exp (- x (* 1/3 (pow x 3)))) (log (- x (* 1/3 (pow x 3)))) (exp (- x (* 1/3 (pow x 3)))) (* (cbrt (- x (* 1/3 (pow x 3)))) (cbrt (- x (* 1/3 (pow x 3))))) (cbrt (- x (* 1/3 (pow x 3)))) (pow (- x (* 1/3 (pow x 3))) 3) (sqrt (- x (* 1/3 (pow x 3)))) (sqrt (- x (* 1/3 (pow x 3)))) (- (pow x 3) (pow (* 1/3 (pow x 3)) 3)) (fma x x (fma 1/9 (pow x 6) (* x (* 1/3 (pow x 3))))) (- (* 1/3 (pow x 3))) (- (* x x) (* (pow x 6) 1/9)) (fma (pow x 3) 1/3 x) (- (* 1/3 (pow x 3))) (expm1 (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (pow x 5) 2/15) (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (exp (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (pow (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) 3) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (- x (* 1/3 (pow x 3))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) 1.677 * * * [progress]: adding candidates to table 1.850 * [progress]: [Phase 3 of 3] Extracting. 1.850 * * [regime]: Finding splitpoints for: (# # # #) 1.850 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.850 * * * * [regimes]: Trying to branch on x from (# # # #) 1.867 * * * [regime]: Found split indices: #