37.423 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.079 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.080 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.082 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.083 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.085 * * [simplify]: iteration 4 : 63 enodes (cost 9 ) 0.087 * * [simplify]: iteration 5 : 179 enodes (cost 9 ) 0.092 * * [simplify]: iteration 6 : 1184 enodes (cost 9 ) 0.124 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.124 * [simplify]: Simplified to: (* 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked # 0.132 * * * [progress]: localizing error 0.143 * * * [progress]: generating rewritten candidates 0.143 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.146 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.148 * * * [progress]: generating series expansions 0.148 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.148 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.148 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.148 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.148 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.148 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.148 * [taylor]: Taking taylor expansion of 2 in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1 in x 0.149 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.149 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.149 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.149 * [taylor]: Taking taylor expansion of 1 in x 0.149 * [taylor]: Taking taylor expansion of 1 in x 0.150 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.150 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.150 * [taylor]: Taking taylor expansion of 2 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.153 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.153 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.153 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.153 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.153 * [taylor]: Taking taylor expansion of 2 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1 in x 0.153 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.154 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.154 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.154 * [taylor]: Taking taylor expansion of 1 in x 0.154 * [taylor]: Taking taylor expansion of 1 in x 0.154 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.154 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.154 * [taylor]: Taking taylor expansion of 2 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.182 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.182 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.182 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 2 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1 in x 0.183 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.183 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.183 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.183 * [taylor]: Taking taylor expansion of 1 in x 0.183 * [taylor]: Taking taylor expansion of 1 in x 0.183 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 2 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.185 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.185 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.185 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.185 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of 2 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 1 in x 0.185 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.186 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.186 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.186 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of 2 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.197 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.197 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.197 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 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 (/ 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 1 in x 0.198 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.198 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.198 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.198 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 2 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.200 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.200 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.200 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of 2 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.201 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.201 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.201 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 2 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.214 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.214 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.214 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.214 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.214 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [taylor]: Taking taylor expansion of 1 in x 0.214 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.214 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.214 * [taylor]: Taking taylor expansion of 2 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.215 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.215 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.215 * [taylor]: Taking taylor expansion of 1 in x 0.215 * [taylor]: Taking taylor expansion of 1 in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.215 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.215 * [taylor]: Taking taylor expansion of 2 in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.220 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.220 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.226 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of 2 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.227 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.227 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [taylor]: Taking taylor expansion of 1 in x 0.227 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of 2 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.233 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.233 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 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 (/ 1 x)))) in x 0.233 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of 2 in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.234 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.234 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.234 * [taylor]: Taking taylor expansion of 1 in x 0.234 * [taylor]: Taking taylor expansion of 1 in x 0.234 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.234 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 2 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.241 * * * [progress]: simplifying candidates 0.242 * [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) 0.246 * * [simplify]: iteration 0 : 150 enodes (cost 395 ) 0.249 * * [simplify]: iteration 1 : 512 enodes (cost 351 ) 0.260 * * [simplify]: iteration 2 : 2464 enodes (cost 344 ) 0.315 * * [simplify]: iteration 3 : 5002 enodes (cost 343 ) 0.317 * [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) 0.318 * * * [progress]: adding candidates to table 0.416 * * [progress]: iteration 2 / 4 0.416 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.442 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.447 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 0.447 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.450 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.451 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.451 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.451 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.451 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.451 * [taylor]: Taking taylor expansion of 2 in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.452 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.452 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.452 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.452 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.452 * [taylor]: Taking taylor expansion of 2 in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.456 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.456 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.456 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.456 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.456 * [taylor]: Taking taylor expansion of 2 in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.457 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.457 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.457 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.457 * [taylor]: Taking taylor expansion of 1 in x 0.457 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.457 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.457 * [taylor]: Taking taylor expansion of 2 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.507 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.507 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.507 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of 2 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.507 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.507 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.507 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.507 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.507 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.507 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.507 * [taylor]: Taking taylor expansion of 2 in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.508 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.508 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.508 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of 2 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1 in x 0.509 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.509 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.509 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.509 * [taylor]: Taking taylor expansion of 1 in x 0.509 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.509 * [taylor]: Taking taylor expansion of 2 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.550 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.550 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.550 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.550 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of 2 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 1 in x 0.551 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.551 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.551 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.551 * [taylor]: Taking taylor expansion of 1 in x 0.551 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.551 * [taylor]: Taking taylor expansion of -2 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.552 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.552 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.552 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.552 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of 2 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1 in x 0.553 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.553 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.553 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.553 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.553 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.554 * [taylor]: Taking taylor expansion of -2 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.589 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 0.589 * [approximate]: Taking taylor expansion of (log1p (exp (* 2 x))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.589 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.589 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.589 * [taylor]: Taking taylor expansion of 1 in x 0.589 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.589 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.589 * [taylor]: Taking taylor expansion of 2 in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.591 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.591 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.591 * [taylor]: Taking taylor expansion of 1 in x 0.591 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.591 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.591 * [taylor]: Taking taylor expansion of 2 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.597 * [approximate]: Taking taylor expansion of (log1p (exp (/ 2 x))) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.597 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.597 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.597 * [taylor]: Taking taylor expansion of 1 in x 0.597 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.597 * [taylor]: Taking taylor expansion of 2 in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.598 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.598 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.598 * [taylor]: Taking taylor expansion of 1 in x 0.598 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.598 * [taylor]: Taking taylor expansion of 2 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.624 * [approximate]: Taking taylor expansion of (log1p (exp (/ -2 x))) in (x) around 0 0.624 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.624 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.624 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.624 * [taylor]: Taking taylor expansion of 1 in x 0.624 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.624 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.624 * [taylor]: Taking taylor expansion of -2 in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.624 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.624 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.624 * [taylor]: Taking taylor expansion of 1 in x 0.624 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.625 * [taylor]: Taking taylor expansion of -2 in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.645 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.645 * [approximate]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.645 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.646 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.646 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.646 * [taylor]: Taking taylor expansion of 1 in x 0.646 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.646 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.646 * [taylor]: Taking taylor expansion of 2 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.647 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.648 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.648 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.648 * [taylor]: Taking taylor expansion of 1 in x 0.648 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.648 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.648 * [taylor]: Taking taylor expansion of 2 in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.658 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in (x) around 0 0.658 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.658 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.658 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.658 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.658 * [taylor]: Taking taylor expansion of 1 in x 0.658 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.658 * [taylor]: Taking taylor expansion of 2 in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.659 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.659 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.659 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.659 * [taylor]: Taking taylor expansion of 1 in x 0.659 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.659 * [taylor]: Taking taylor expansion of 2 in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.689 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in (x) around 0 0.689 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.689 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.689 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.689 * [taylor]: Taking taylor expansion of 1 in x 0.689 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.689 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.689 * [taylor]: Taking taylor expansion of -2 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.689 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.690 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.690 * [taylor]: Taking taylor expansion of 1 in x 0.690 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.690 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.690 * [taylor]: Taking taylor expansion of -2 in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.725 * * * [progress]: simplifying candidates 0.726 * [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) 0.730 * * [simplify]: iteration 0 : 182 enodes (cost 523 ) 0.734 * * [simplify]: iteration 1 : 556 enodes (cost 477 ) 0.745 * * [simplify]: iteration 2 : 2509 enodes (cost 465 ) 0.791 * * [simplify]: iteration 3 : 5001 enodes (cost 451 ) 0.794 * [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))) 0.794 * * * [progress]: adding candidates to table 0.932 * * [progress]: iteration 3 / 4 0.932 * * * [progress]: picking best candidate 0.942 * * * * [pick]: Picked # 0.942 * * * [progress]: localizing error 0.956 * * * [progress]: generating rewritten candidates 0.956 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.959 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.975 * * * [progress]: generating series expansions 0.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.975 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in (x) around 0 0.975 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 0.975 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.975 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.975 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.975 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.975 * [taylor]: Taking taylor expansion of 2 in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of 1 in x 0.976 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 0.977 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 0.977 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 0.977 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.977 * [taylor]: Taking taylor expansion of 1 in x 0.977 * [taylor]: Taking taylor expansion of 1 in x 0.977 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 0.977 * [taylor]: Taking taylor expansion of (exp x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of (exp x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 0.987 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.987 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.987 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.987 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.987 * [taylor]: Taking taylor expansion of 2 in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1 in x 0.988 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 0.988 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 0.988 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 0.988 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.988 * [taylor]: Taking taylor expansion of 1 in x 0.988 * [taylor]: Taking taylor expansion of 1 in x 0.988 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 0.988 * [taylor]: Taking taylor expansion of (exp x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (exp x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 1.044 * [approximate]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.044 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.044 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.044 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.044 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.044 * [taylor]: Taking taylor expansion of 2 in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [taylor]: Taking taylor expansion of 1 in x 1.044 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.044 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.044 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.044 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.044 * [taylor]: Taking taylor expansion of 1 in x 1.044 * [taylor]: Taking taylor expansion of 1 in x 1.044 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.045 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.047 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.047 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.047 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.047 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.047 * [taylor]: Taking taylor expansion of 2 in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 1 in x 1.047 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.048 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.048 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.048 * [taylor]: Taking taylor expansion of 1 in x 1.048 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.074 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.074 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.074 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.074 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.074 * [taylor]: Taking taylor expansion of -2 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of 1 in x 1.075 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.075 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.075 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.075 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.075 * [taylor]: Taking taylor expansion of 1 in x 1.075 * [taylor]: Taking taylor expansion of 1 in x 1.075 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.075 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.075 * [taylor]: Taking taylor expansion of -1 in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.075 * [taylor]: Taking taylor expansion of -1 in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.077 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.077 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.077 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.077 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.077 * [taylor]: Taking taylor expansion of -2 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of 1 in x 1.078 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.078 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.078 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.078 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.078 * [taylor]: Taking taylor expansion of 1 in x 1.078 * [taylor]: Taking taylor expansion of 1 in x 1.078 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.078 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.078 * [taylor]: Taking taylor expansion of -1 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.078 * [taylor]: Taking taylor expansion of -1 in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.099 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.099 * [approximate]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in (x) around 0 1.099 * [taylor]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in x 1.099 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 1.099 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.099 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.099 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.099 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.099 * [taylor]: Taking taylor expansion of 2 in x 1.099 * [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 (hypot 1 (exp x)) in x 1.100 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.100 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in 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 x) (exp x)) in x 1.100 * [taylor]: Taking taylor expansion of (exp x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (exp x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 x))))) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 x)))) in x 1.106 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.106 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.106 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.106 * [taylor]: Taking taylor expansion of 1 in x 1.106 * [taylor]: Taking taylor expansion of 1 in x 1.106 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.106 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.106 * [taylor]: Taking taylor expansion of 2 in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in x 1.111 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 1.111 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.111 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.111 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.111 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.111 * [taylor]: Taking taylor expansion of 2 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of 1 in x 1.111 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.112 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.112 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.112 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.112 * [taylor]: Taking taylor expansion of 1 in x 1.112 * [taylor]: Taking taylor expansion of 1 in x 1.112 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.112 * [taylor]: Taking taylor expansion of (exp x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (exp x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 x))))) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 x)))) in x 1.118 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.118 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.118 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.118 * [taylor]: Taking taylor expansion of 1 in x 1.118 * [taylor]: Taking taylor expansion of 1 in x 1.118 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.118 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.118 * [taylor]: Taking taylor expansion of 2 in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.255 * [approximate]: Taking taylor expansion of (* (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))))) in (x) around 0 1.255 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))))) in x 1.255 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.255 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.255 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.255 * [taylor]: Taking taylor expansion of 2 in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of 1 in x 1.256 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.256 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.256 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.256 * [taylor]: Taking taylor expansion of 1 in x 1.256 * [taylor]: Taking taylor expansion of 1 in x 1.256 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x)))))) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.258 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.259 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.259 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.259 * [taylor]: Taking taylor expansion of 1 in x 1.259 * [taylor]: Taking taylor expansion of 1 in x 1.259 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.259 * [taylor]: Taking taylor expansion of 2 in x 1.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.260 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))))) in x 1.260 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.260 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.261 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.261 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.261 * [taylor]: Taking taylor expansion of 2 in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of 1 in x 1.261 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.261 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.261 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.261 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.261 * [taylor]: Taking taylor expansion of 1 in x 1.261 * [taylor]: Taking taylor expansion of 1 in x 1.261 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x)))))) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.264 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.264 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.264 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.264 * [taylor]: Taking taylor expansion of 1 in x 1.264 * [taylor]: Taking taylor expansion of 1 in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of 2 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.298 * [approximate]: Taking taylor expansion of (* (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))))) in (x) around 0 1.298 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))))) in x 1.298 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.298 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.298 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.298 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.298 * [taylor]: Taking taylor expansion of -2 in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of 1 in x 1.298 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.298 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.298 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.298 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.298 * [taylor]: Taking taylor expansion of 1 in x 1.298 * [taylor]: Taking taylor expansion of 1 in x 1.298 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.298 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.298 * [taylor]: Taking taylor expansion of -1 in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.299 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.299 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.299 * [taylor]: Taking taylor expansion of -1 in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x))))))) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.301 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.301 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.301 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.301 * [taylor]: Taking taylor expansion of 1 in x 1.301 * [taylor]: Taking taylor expansion of 1 in x 1.301 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.301 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.301 * [taylor]: Taking taylor expansion of 2 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))))) in x 1.303 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.303 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.303 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.303 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.303 * [taylor]: Taking taylor expansion of -2 in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of 1 in x 1.304 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.304 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.304 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.304 * [taylor]: Taking taylor expansion of 1 in x 1.304 * [taylor]: Taking taylor expansion of 1 in x 1.304 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.304 * [taylor]: Taking taylor expansion of -1 in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x))))))) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.306 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.306 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.306 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.306 * [taylor]: Taking taylor expansion of 1 in x 1.306 * [taylor]: Taking taylor expansion of 1 in x 1.307 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of 2 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.346 * [approximate]: Taking taylor expansion of (hypot 1 (exp x)) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.347 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.347 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.347 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.347 * [taylor]: Taking taylor expansion of 1 in x 1.347 * [taylor]: Taking taylor expansion of 1 in x 1.347 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.347 * [taylor]: Taking taylor expansion of (exp x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (exp x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.351 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.351 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.351 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.351 * [taylor]: Taking taylor expansion of 1 in x 1.351 * [taylor]: Taking taylor expansion of 1 in x 1.351 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.351 * [taylor]: Taking taylor expansion of (exp x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (exp x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.368 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in (x) around 0 1.368 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.368 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.368 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.368 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.368 * [taylor]: Taking taylor expansion of 1 in x 1.368 * [taylor]: Taking taylor expansion of 1 in x 1.368 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.370 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.370 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.370 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.370 * [taylor]: Taking taylor expansion of 1 in x 1.370 * [taylor]: Taking taylor expansion of 1 in x 1.370 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.383 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in (x) around 0 1.383 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.383 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.384 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.384 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.384 * [taylor]: Taking taylor expansion of 1 in x 1.384 * [taylor]: Taking taylor expansion of 1 in x 1.384 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.384 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.384 * [taylor]: Taking taylor expansion of -1 in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.384 * [taylor]: Taking taylor expansion of -1 in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.386 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.386 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.386 * [taylor]: Taking taylor expansion of 1 in x 1.386 * [taylor]: Taking taylor expansion of 1 in x 1.386 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.386 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.386 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.386 * [taylor]: Taking taylor expansion of -1 in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.400 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.400 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 1.400 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.400 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.400 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.400 * [taylor]: Taking taylor expansion of 1 in x 1.400 * [taylor]: Taking taylor expansion of 1 in x 1.400 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.400 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.400 * [taylor]: Taking taylor expansion of 2 in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.401 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.401 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.401 * [taylor]: Taking taylor expansion of 1 in x 1.401 * [taylor]: Taking taylor expansion of 1 in x 1.401 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.401 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.401 * [taylor]: Taking taylor expansion of 2 in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.411 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.411 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.411 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.411 * [taylor]: Taking taylor expansion of 1 in x 1.411 * [taylor]: Taking taylor expansion of 1 in x 1.411 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.411 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of 2 in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.411 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.412 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.412 * [taylor]: Taking taylor expansion of 1 in x 1.412 * [taylor]: Taking taylor expansion of 1 in x 1.412 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.412 * [taylor]: Taking taylor expansion of 2 in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.417 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.418 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.418 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.418 * [taylor]: Taking taylor expansion of 1 in x 1.418 * [taylor]: Taking taylor expansion of 1 in x 1.418 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of 2 in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.419 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.419 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.419 * [taylor]: Taking taylor expansion of 1 in x 1.419 * [taylor]: Taking taylor expansion of 1 in x 1.419 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of 2 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.425 * * * [progress]: simplifying candidates 1.428 * [simplify]: Simplifying using # : (expm1 (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (log1p (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (- (log (expm1 (* 2 x))) (log (hypot 1 (exp x)))) (log (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (exp (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (/ (* (* (expm1 (* 2 x)) (expm1 (* 2 x))) (expm1 (* 2 x))) (* (* (hypot 1 (exp x)) (hypot 1 (exp x))) (hypot 1 (exp x)))) (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (* (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (- (expm1 (* 2 x))) (- (hypot 1 (exp x))) (/ (exp (* 2 x)) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (* (cbrt (expm1 (* 2 x))) (cbrt (expm1 (* 2 x)))) (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (/ (cbrt (expm1 (* 2 x))) (cbrt (hypot 1 (exp x)))) (/ (* (cbrt (expm1 (* 2 x))) (cbrt (expm1 (* 2 x)))) (sqrt (hypot 1 (exp x)))) (/ (cbrt (expm1 (* 2 x))) (sqrt (hypot 1 (exp x)))) (/ (* (cbrt (expm1 (* 2 x))) (cbrt (expm1 (* 2 x)))) 1) (/ (cbrt (expm1 (* 2 x))) (hypot 1 (exp x))) (/ (sqrt (expm1 (* 2 x))) (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (/ (sqrt (expm1 (* 2 x))) (cbrt (hypot 1 (exp x)))) (/ (sqrt (expm1 (* 2 x))) (sqrt (hypot 1 (exp x)))) (/ (sqrt (expm1 (* 2 x))) (sqrt (hypot 1 (exp x)))) (/ (sqrt (expm1 (* 2 x))) 1) (/ (sqrt (expm1 (* 2 x))) (hypot 1 (exp x))) (/ 1 (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (/ (expm1 (* 2 x)) (cbrt (hypot 1 (exp x)))) (/ 1 (sqrt (hypot 1 (exp x)))) (/ (expm1 (* 2 x)) (sqrt (hypot 1 (exp x)))) (/ 1 1) (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (/ 1 (hypot 1 (exp x))) (/ (hypot 1 (exp x)) (expm1 (* 2 x))) (/ (expm1 (* 2 x)) (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (/ (expm1 (* 2 x)) (sqrt (hypot 1 (exp x)))) (/ (expm1 (* 2 x)) 1) (/ (hypot 1 (exp x)) (cbrt (expm1 (* 2 x)))) (/ (hypot 1 (exp x)) (sqrt (expm1 (* 2 x)))) (/ (hypot 1 (exp x)) (expm1 (* 2 x))) (expm1 (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (log1p (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (- (- (log (expm1 (* 2 x))) (log (hypot 1 (exp x)))) (log (sqrt (fma 1 1 (exp (+ x x)))))) (- (log (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (log (sqrt (fma 1 1 (exp (+ x x)))))) (log (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (exp (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (/ (/ (* (* (expm1 (* 2 x)) (expm1 (* 2 x))) (expm1 (* 2 x))) (* (* (hypot 1 (exp x)) (hypot 1 (exp x))) (hypot 1 (exp x)))) (* (* (sqrt (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x))))) (sqrt (fma 1 1 (exp (+ x x)))))) (/ (* (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (* (* (sqrt (fma 1 1 (exp (+ x x)))) (sqrt (fma 1 1 (exp (+ x x))))) (sqrt (fma 1 1 (exp (+ x x)))))) (* (cbrt (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (cbrt (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x))))))) (cbrt (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (* (* (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (sqrt (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (sqrt (/ (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x)))))) (- (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (- (sqrt (fma 1 1 (exp (+ x x))))) (/ (/ (exp (* 2 x)) (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (/ 1 (hypot 1 (exp x))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (* (cbrt (sqrt (fma 1 1 (exp (+ x x))))) (cbrt (sqrt (fma 1 1 (exp (+ x x))))))) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (sqrt (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))))) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (cbrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (sqrt 1)) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (* (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x))))) 1) (/ (cbrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (* (cbrt (sqrt (fma 1 1 (exp (+ x x))))) (cbrt (sqrt (fma 1 1 (exp (+ x x))))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (cbrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (cbrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt 1)) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) 1) (/ (sqrt (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (sqrt (fma 1 1 (exp (+ x x))))) (/ (/ (* (cbrt (expm1 (* 2 x))) (cbrt (expm1 (* 2 x)))) (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (* (cbrt (sqrt (fma 1 1 (exp (+ x x))))) (cbrt (sqrt (fma 1 1 (exp (+ x x))))))) (/ (/ (cbrt (expm1 (* 2 x))) (cbrt (hypot 1 (exp x)))) (cbrt (sqrt (fma 1 1 (exp (+ x x)))))) (/ (/ (* (cbrt (expm1 (* 2 x))) (cbrt (expm1 (* 2 x)))) (* (cbrt (hypot 1 (exp x))) (cbrt (hypot 1 (exp x))))) (sqrt (* (cbrt (fma 1 1 (exp (+ x x)))) (cbrt (fma 1 1 (exp (+ x x))))))) (/ (/ (cbrt (expm1 (* 2 x))) (cbrt (hypot 1 (exp x)))) (sqrt (cbrt 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(sqrt 2))))))) (+ (* 1/16 (/ (pow x 3) (* (sqrt 2) (pow (sqrt 1/2) 3)))) (+ (* 4 (/ (* (pow x 3) (sqrt 1/2)) (pow (sqrt 2) 3))) (+ (* 1/2 (/ (pow x 3) (* (sqrt 2) (sqrt 1/2)))) (+ (* 2 (/ (* (pow x 2) (sqrt 1/2)) (pow (sqrt 2) 3))) (* 1/2 (/ (pow x 2) (* (sqrt 2) (sqrt 1/2))))))))) (* (- (exp (* 2 x)) 1) (sqrt (/ 1 (* (+ (exp (* 2 x)) 1) (+ (pow (exp x) 2) 1))))) (* (- (exp (* 2 x)) 1) (sqrt (/ 1 (* (+ (exp (* 2 x)) 1) (+ (pow (exp x) 2) 1))))) (- (+ (/ x (sqrt 2)) (+ (/ (pow x 2) (sqrt 2)) (sqrt 2))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (pow (exp x) 2) 1)) (sqrt (+ (pow (exp x) 2) 1)) (+ (* 2 (pow x 2)) (+ (* 2 x) 2)) (+ (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1) 1.441 * * [simplify]: iteration 0 : 711 enodes (cost 2850 ) 1.453 * * [simplify]: iteration 1 : 2950 enodes (cost 2529 ) 1.488 * * [simplify]: iteration 2 : 5001 enodes (cost 2340 ) 1.499 * [simplify]: Simplified to: (expm1 (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (log1p (/ (expm1 (* 2 x)) (hypot 1 (exp x)))) (log (/ 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(hypot 1 (exp x)) (hypot 1 (exp x)) (fma 2 (pow x 2) (fma 2 x 2)) (+ (pow (exp x) 2) 1) (+ (pow (exp x) 2) 1) 1.500 * * * [progress]: adding candidates to table 1.947 * * [progress]: iteration 4 / 4 1.947 * * * [progress]: picking best candidate 1.953 * * * * [pick]: Picked # 1.953 * * * [progress]: localizing error 1.963 * * * [progress]: generating rewritten candidates 1.963 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 3 2) 1.969 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 3) 1.973 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.975 * * * [progress]: generating series expansions 1.975 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 3 2) 1.975 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.975 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.975 * [taylor]: Taking taylor expansion of 1/3 in x 1.975 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.975 * [taylor]: Taking taylor expansion of 1/3 in x 1.975 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.992 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.992 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.992 * [taylor]: Taking taylor expansion of 1/3 in x 1.992 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.993 * [taylor]: Taking taylor expansion of 1/3 in x 1.993 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.993 * [taylor]: Taking taylor expansion of x in x 2.004 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 2.004 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 2.004 * [taylor]: Taking taylor expansion of -1/3 in x 2.004 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 2.005 * [taylor]: Taking taylor expansion of -1/3 in x 2.005 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.005 * [taylor]: Taking taylor expansion of x in x 2.016 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 3) 2.016 * [approximate]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in (x) around 0 2.016 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.016 * [taylor]: Taking taylor expansion of 1/3 in x 2.016 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.016 * [taylor]: Taking taylor expansion of 1/3 in x 2.016 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.032 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 2.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.032 * [taylor]: Taking taylor expansion of 1/3 in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.032 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.033 * [taylor]: Taking taylor expansion of 1/3 in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.033 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.061 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in (x) around 0 2.061 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.061 * [taylor]: Taking taylor expansion of 1/3 in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.062 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.068 * [taylor]: Taking taylor expansion of x in x 2.068 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.068 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.068 * [taylor]: Taking taylor expansion of 1/3 in x 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.068 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.068 * [taylor]: Taking taylor expansion of x in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.096 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.096 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 2.096 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 2.096 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 2.096 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 5) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of 2/15 in x 2.096 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.096 * [taylor]: Taking taylor expansion of 1/3 in x 2.096 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 2.096 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 2.096 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 5) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of 2/15 in x 2.096 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.097 * [taylor]: Taking taylor expansion of 1/3 in x 2.097 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.105 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 2.105 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 2.105 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 2.105 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 2.105 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of 2/15 in x 2.105 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.106 * [taylor]: Taking taylor expansion of 1/3 in x 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.106 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 2.107 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 2.107 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 2.107 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of 2/15 in x 2.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.107 * [taylor]: Taking taylor expansion of 1/3 in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.107 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.126 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 2.126 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 2.126 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 2.126 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 2.126 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 2.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.126 * [taylor]: Taking taylor expansion of -1 in x 2.126 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of 2/15 in x 2.126 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.127 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.127 * [taylor]: Taking taylor expansion of 1/3 in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.127 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.127 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 2.128 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 2.128 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 2.128 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 2.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.128 * [taylor]: Taking taylor expansion of -1 in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.128 * [taylor]: Taking taylor expansion of 2/15 in x 2.128 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.128 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.128 * [taylor]: Taking taylor expansion of 1/3 in x 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.128 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.128 * [taylor]: Taking taylor expansion of x in x 2.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.129 * [taylor]: Taking taylor expansion of x in x 2.151 * * * [progress]: simplifying candidates 2.152 * [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))) 2.157 * * [simplify]: iteration 0 : 206 enodes (cost 338 ) 2.162 * * [simplify]: iteration 1 : 835 enodes (cost 292 ) 2.185 * * [simplify]: iteration 2 : 5002 enodes (cost 292 ) 2.188 * [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)))) 2.188 * * * [progress]: adding candidates to table 2.326 * [progress]: [Phase 3 of 3] Extracting. 2.326 * * [regime]: Finding splitpoints for: (# # # # #) 2.327 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) x) 2.327 * * * * [regimes]: Trying to branch on (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) from (# # # # #) 2.350 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.370 * * * [regime]: Found split indices: #