23.121 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.069 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.074 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.075 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.076 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.078 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.079 * * [simplify]: iteration 4 : 63 enodes (cost 9 ) 0.081 * * [simplify]: iteration 5 : 179 enodes (cost 9 ) 0.086 * * [simplify]: iteration 6 : 1184 enodes (cost 9 ) 0.117 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.118 * [simplify]: Simplified to: (* 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) 0.122 * * [progress]: iteration 1 / 4 0.122 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.138 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.138 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.138 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.138 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.138 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.138 * [taylor]: Taking taylor expansion of 2 in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of 1 in x 0.139 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.139 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.139 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.139 * [taylor]: Taking taylor expansion of 1 in x 0.139 * [taylor]: Taking taylor expansion of 1 in x 0.139 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.139 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.139 * [taylor]: Taking taylor expansion of 2 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.142 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.142 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.142 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.143 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.143 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.143 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [taylor]: Taking taylor expansion of 1 in x 0.143 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.143 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.144 * [taylor]: Taking taylor expansion of 2 in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.174 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.174 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.174 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.174 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.175 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.175 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [taylor]: Taking taylor expansion of 1 in x 0.175 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of 2 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.176 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.176 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.176 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 2 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of 1 in x 0.177 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.177 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.177 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.177 * [taylor]: Taking taylor expansion of 1 in x 0.177 * [taylor]: Taking taylor expansion of 1 in x 0.177 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 2 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.187 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.187 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.187 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.187 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.187 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 2 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of 1 in x 0.188 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.188 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.188 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.188 * [taylor]: Taking taylor expansion of 1 in x 0.188 * [taylor]: Taking taylor expansion of 1 in x 0.188 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.188 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.189 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.189 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.189 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.190 * [taylor]: Taking taylor expansion of 2 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.190 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.190 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [taylor]: Taking taylor expansion of 1 in x 0.190 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.190 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of 2 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.202 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.202 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.202 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.202 * [taylor]: Taking taylor expansion of 1 in x 0.202 * [taylor]: Taking taylor expansion of 1 in x 0.202 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.202 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.202 * [taylor]: Taking taylor expansion of 2 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.203 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.203 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.203 * [taylor]: Taking taylor expansion of 1 in x 0.203 * [taylor]: Taking taylor expansion of 1 in x 0.203 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.203 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.203 * [taylor]: Taking taylor expansion of 2 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.207 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.207 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.207 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.207 * [taylor]: Taking taylor expansion of 1 in x 0.207 * [taylor]: Taking taylor expansion of 1 in x 0.207 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 2 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.208 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.208 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.208 * [taylor]: Taking taylor expansion of 1 in x 0.208 * [taylor]: Taking taylor expansion of 1 in x 0.208 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.213 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.214 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 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 (/ 1 x)))) in x 0.214 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 2 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.214 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 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 (/ 1 x)))) in x 0.215 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 2 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.220 * * * [progress]: simplifying candidates 0.221 * [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) 0.225 * * [simplify]: iteration 0 : 150 enodes (cost 395 ) 0.229 * * [simplify]: iteration 1 : 512 enodes (cost 351 ) 0.239 * * [simplify]: iteration 2 : 2464 enodes (cost 344 ) 0.294 * * [simplify]: iteration 3 : 5002 enodes (cost 343 ) 0.296 * [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) 0.296 * * * [progress]: adding candidates to table 0.406 * * [progress]: iteration 2 / 4 0.406 * * * [progress]: picking best candidate 0.410 * * * * [pick]: Picked # 0.410 * * * [progress]: localizing error 0.420 * * * [progress]: generating rewritten candidates 0.420 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 3 2) 0.432 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 3 2) 0.434 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.434 * [taylor]: Taking taylor expansion of 1/3 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.434 * [taylor]: Taking taylor expansion of 1/3 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.445 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.445 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.445 * [taylor]: Taking taylor expansion of 1/3 in x 0.445 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.446 * [taylor]: Taking taylor expansion of 1/3 in x 0.446 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.456 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.456 * [taylor]: Taking taylor expansion of -1/3 in x 0.456 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.456 * [taylor]: Taking taylor expansion of -1/3 in x 0.456 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.466 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.466 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 0.466 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 0.467 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 0.467 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of 2/15 in x 0.467 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.467 * [taylor]: Taking taylor expansion of 1/3 in x 0.467 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 0.467 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 0.467 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of 2/15 in x 0.467 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.467 * [taylor]: Taking taylor expansion of 1/3 in x 0.467 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 0.474 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 0.474 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 0.474 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 2/15 in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.475 * [taylor]: Taking taylor expansion of 1/3 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 0.475 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 0.475 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 0.475 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 2/15 in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.476 * [taylor]: Taking taylor expansion of 1/3 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.497 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 0.497 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 0.497 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 0.497 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of 2/15 in x 0.497 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.497 * [taylor]: Taking taylor expansion of 1/3 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 0.498 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 0.498 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 0.499 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of 2/15 in x 0.499 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.499 * [taylor]: Taking taylor expansion of 1/3 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.499 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.515 * * * [progress]: simplifying candidates 0.516 * [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)) (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 (* 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))) 0.520 * * [simplify]: iteration 0 : 149 enodes (cost 210 ) 0.523 * * [simplify]: iteration 1 : 589 enodes (cost 185 ) 0.538 * * [simplify]: iteration 2 : 3445 enodes (cost 185 ) 0.680 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 0.682 * [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)) (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)) (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)))) 0.682 * * * [progress]: adding candidates to table 0.788 * * [progress]: iteration 3 / 4 0.789 * * * [progress]: picking best candidate 0.793 * * * * [pick]: Picked # 0.793 * * * [progress]: localizing error 0.804 * * * [progress]: generating rewritten candidates 0.804 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2 3 2) 0.816 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.818 * * * [progress]: generating series expansions 0.818 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2 3 2) 0.818 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.818 * [taylor]: Taking taylor expansion of 1/3 in x 0.818 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.832 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 0.832 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.832 * [taylor]: Taking taylor expansion of 1/3 in x 0.832 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.833 * [taylor]: Taking taylor expansion of 1/3 in x 0.833 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.843 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.843 * [taylor]: Taking taylor expansion of -1/3 in x 0.843 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 0.844 * [taylor]: Taking taylor expansion of -1/3 in x 0.844 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.854 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.855 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 0.855 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 0.855 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 0.855 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 2/15 in x 0.855 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.855 * [taylor]: Taking taylor expansion of 1/3 in x 0.855 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 0.855 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 0.855 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 2/15 in x 0.855 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 0.855 * [taylor]: Taking taylor expansion of 1/3 in x 0.855 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 0.863 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 0.863 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 0.863 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 2/15 in x 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.863 * [taylor]: Taking taylor expansion of 1/3 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 0.864 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 0.864 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 0.864 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 2/15 in x 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.865 * [taylor]: Taking taylor expansion of 1/3 in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.881 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 0.882 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 0.882 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 0.882 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.882 * [taylor]: Taking taylor expansion of -1 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 2/15 in x 0.882 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 0.882 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.882 * [taylor]: Taking taylor expansion of 1/3 in x 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.882 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 0.883 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 0.883 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 0.883 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 0.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.883 * [taylor]: Taking taylor expansion of -1 in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of 2/15 in x 0.883 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 0.883 * [taylor]: Taking taylor expansion of 1/3 in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.905 * * * [progress]: simplifying candidates 0.906 * [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)) (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 (* 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))) 0.910 * * [simplify]: iteration 0 : 149 enodes (cost 210 ) 0.913 * * [simplify]: iteration 1 : 589 enodes (cost 185 ) 0.928 * * [simplify]: iteration 2 : 3445 enodes (cost 185 ) 1.069 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 1.070 * [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)) (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)) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) 1.070 * * * [progress]: adding candidates to table 1.176 * * [progress]: iteration 4 / 4 1.176 * * * [progress]: picking best candidate 1.179 * * * * [pick]: Picked # 1.179 * * * [progress]: localizing error 1.192 * * * [progress]: generating rewritten candidates 1.192 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.195 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 3 2) 1.207 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.209 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 1.209 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.209 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.209 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.209 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of 2/15 in x 1.209 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.210 * [taylor]: Taking taylor expansion of 1/3 in x 1.210 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.210 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.210 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.210 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of 2/15 in x 1.210 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.210 * [taylor]: Taking taylor expansion of 1/3 in x 1.210 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.217 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.217 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.217 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.217 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of 2/15 in x 1.218 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.218 * [taylor]: Taking taylor expansion of 1/3 in x 1.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.218 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.219 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.219 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.219 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of 2/15 in x 1.219 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.219 * [taylor]: Taking taylor expansion of 1/3 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.236 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.236 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.236 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.236 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.236 * [taylor]: Taking taylor expansion of -1 in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of 2/15 in x 1.237 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.240 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.240 * [taylor]: Taking taylor expansion of 1/3 in x 1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.240 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.242 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.242 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.242 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.242 * [taylor]: Taking taylor expansion of -1 in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of 2/15 in x 1.242 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.242 * [taylor]: Taking taylor expansion of 1/3 in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.242 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.259 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 3 2) 1.259 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.259 * [taylor]: Taking taylor expansion of 1/3 in x 1.259 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.259 * [taylor]: Taking taylor expansion of 1/3 in x 1.259 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.270 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.270 * [taylor]: Taking taylor expansion of 1/3 in x 1.270 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.270 * [taylor]: Taking taylor expansion of 1/3 in x 1.270 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.281 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.281 * [taylor]: Taking taylor expansion of -1/3 in x 1.281 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.282 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.282 * [taylor]: Taking taylor expansion of -1/3 in x 1.282 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.292 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 1.292 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 1.292 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.292 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.292 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of 2/15 in x 1.292 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.292 * [taylor]: Taking taylor expansion of 1/3 in x 1.292 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 1.292 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 1.292 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 1.292 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of 2/15 in x 1.292 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.293 * [taylor]: Taking taylor expansion of 1/3 in x 1.293 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.300 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.300 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.300 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.300 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.300 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.300 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of 2/15 in x 1.301 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.301 * [taylor]: Taking taylor expansion of 1/3 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.301 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.301 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 1.302 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 1.302 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 1.302 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of 2/15 in x 1.302 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.302 * [taylor]: Taking taylor expansion of 1/3 in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.302 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.324 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 1.324 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.324 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.324 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.324 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.324 * [taylor]: Taking taylor expansion of -1 in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of 2/15 in x 1.325 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.325 * [taylor]: Taking taylor expansion of 1/3 in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.325 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 1.326 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 1.326 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 1.326 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 1.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.326 * [taylor]: Taking taylor expansion of -1 in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [taylor]: Taking taylor expansion of 2/15 in x 1.326 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 1.326 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.326 * [taylor]: Taking taylor expansion of 1/3 in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.326 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.327 * [taylor]: Taking taylor expansion of x in x 1.343 * * * [progress]: simplifying candidates 1.344 * [simplify]: Simplifying using # : (expm1 (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (log1p (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp 1) (exp (* (cbrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))))) (exp (sqrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp 1) (exp (log (* (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)))))))) (exp (log (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp (log (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp (log (sqrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp (log 1)) (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (log (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (* (cbrt (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (cbrt (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))))) (cbrt (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (* (* (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (sqrt (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (sqrt (exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) (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)) (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))))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) (- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3))) 1.349 * * [simplify]: iteration 0 : 180 enodes (cost 360 ) 1.353 * * [simplify]: iteration 1 : 651 enodes (cost 321 ) 1.369 * * [simplify]: iteration 2 : 3531 enodes (cost 309 ) 1.510 * * [simplify]: iteration 3 : 5002 enodes (cost 303 ) 1.512 * [simplify]: Simplified to: (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))))) E (exp (* (cbrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))) (cbrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))))) (exp (sqrt (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))) E (pow (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) 2) (cbrt (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 (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (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))))) (pow (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) 2) (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))))) (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)) (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))))) (pow (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) 2) (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))))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) 1.512 * * * [progress]: adding candidates to table 1.667 * [progress]: [Phase 3 of 3] Extracting. 1.667 * * [regime]: Finding splitpoints for: (# # #) 1.668 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.668 * * * * [regimes]: Trying to branch on x from (# # #) 1.685 * * * [regime]: Found split indices: #