16.268 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) 0.081 * * [simplify]: iteration 0 : 15 enodes (cost 9 ) 0.082 * * [simplify]: iteration 1 : 24 enodes (cost 9 ) 0.083 * * [simplify]: iteration 2 : 32 enodes (cost 9 ) 0.085 * * [simplify]: iteration 3 : 44 enodes (cost 9 ) 0.086 * * [simplify]: iteration 4 : 63 enodes (cost 9 ) 0.088 * * [simplify]: iteration 5 : 179 enodes (cost 9 ) 0.093 * * [simplify]: iteration 6 : 1184 enodes (cost 9 ) 0.122 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.123 * [simplify]: Simplified to: (* 1 (/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))) 0.126 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.144 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.144 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.145 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.145 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.145 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.145 * [taylor]: Taking taylor expansion of 2 in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1 in x 0.146 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.146 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.146 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.146 * [taylor]: Taking taylor expansion of 1 in x 0.146 * [taylor]: Taking taylor expansion of 1 in x 0.146 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.146 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.146 * [taylor]: Taking taylor expansion of 2 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (fma 1 1 (exp (* 2 x)))) in x 0.150 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.150 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 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 0.151 * [taylor]: Taking taylor expansion of 1 in x 0.151 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.151 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.151 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.151 * [taylor]: Taking taylor expansion of 1 in x 0.151 * [taylor]: Taking taylor expansion of 1 in x 0.151 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.151 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.151 * [taylor]: Taking taylor expansion of 2 in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (fma 1 1 (exp (* 2 (/ 1 x))))) in x 0.179 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.179 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.180 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of 2 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of 1 in x 0.180 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.180 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.180 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.180 * [taylor]: Taking taylor expansion of 1 in x 0.180 * [taylor]: Taking taylor expansion of 1 in x 0.181 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 2 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 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 0.182 * [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 0.194 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.195 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.195 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.195 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 2 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [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 0.203 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 0.203 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.203 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.203 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.203 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of 2 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.204 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.204 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 2 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.216 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.217 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.217 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.217 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.217 * [taylor]: Taking taylor expansion of 1 in x 0.217 * [taylor]: Taking taylor expansion of 1 in x 0.217 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.217 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.217 * [taylor]: Taking taylor expansion of 2 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 0.218 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 0.218 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.218 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [taylor]: Taking taylor expansion of 1 in x 0.218 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.218 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.218 * [taylor]: Taking taylor expansion of 2 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.223 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.223 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [taylor]: Taking taylor expansion of 1 in x 0.223 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.223 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of 2 in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 0.224 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 0.224 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [taylor]: Taking taylor expansion of 1 in x 0.224 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.224 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of 2 in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.230 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.231 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.231 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [taylor]: Taking taylor expansion of 1 in x 0.231 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of 2 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 0.232 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 0.232 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [taylor]: Taking taylor expansion of 1 in x 0.232 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.232 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of 2 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.238 * * * [progress]: simplifying candidates 0.239 * [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) 0.243 * * [simplify]: iteration 0 : 150 enodes (cost 395 ) 0.247 * * [simplify]: iteration 1 : 512 enodes (cost 351 ) 0.257 * * [simplify]: iteration 2 : 2464 enodes (cost 344 ) 0.311 * * [simplify]: iteration 3 : 5002 enodes (cost 343 ) 0.313 * [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) 0.313 * * * [progress]: adding candidates to table 0.410 * * [progress]: iteration 2 / 4 0.410 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.437 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 0.437 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.440 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.440 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.440 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.440 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.440 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.440 * [taylor]: Taking taylor expansion of 2 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.442 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.442 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.442 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.442 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.442 * [taylor]: Taking taylor expansion of 2 in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (exp (log1p (exp (* 2 x))))) in x 0.446 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.446 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.446 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.446 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.446 * [taylor]: Taking taylor expansion of 2 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.447 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.447 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.447 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.447 * [taylor]: Taking taylor expansion of 2 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.504 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.504 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.504 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.505 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.505 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.505 * [taylor]: Taking taylor expansion of 1 in x 0.505 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.505 * [taylor]: Taking taylor expansion of 2 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 (/ 1 x))) (exp (log1p (exp (/ 2 x))))) in x 0.506 * [taylor]: Taking taylor expansion of (expm1 (* 2 (/ 1 x))) in x 0.506 * [taylor]: Rewrote expression to (- (exp (* 2 (/ 1 x))) 1) 0.506 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of 2 in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1 in x 0.506 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.506 * [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 0.542 * [approximate]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.542 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.542 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.542 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 2 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of 1 in x 0.543 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.543 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.543 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.543 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.543 * [taylor]: Taking taylor expansion of 1 in x 0.543 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.543 * [taylor]: Taking taylor expansion of -2 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (/ (expm1 (- (* 2 (/ 1 x)))) (exp (log1p (exp (/ -2 x))))) in x 0.544 * [taylor]: Taking taylor expansion of (expm1 (- (* 2 (/ 1 x)))) in x 0.544 * [taylor]: Rewrote expression to (- (exp (- (* 2 (/ 1 x)))) 1) 0.544 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 0.544 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of 2 in x 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of 1 in x 0.545 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.545 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.545 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.545 * [taylor]: Taking taylor expansion of 1 in x 0.545 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.545 * [taylor]: Taking taylor expansion of -2 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.585 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 0.585 * [approximate]: Taking taylor expansion of (log1p (exp (* 2 x))) in (x) around 0 0.585 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.586 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.586 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.586 * [taylor]: Taking taylor expansion of 1 in x 0.586 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.586 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.586 * [taylor]: Taking taylor expansion of 2 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.587 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.587 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.587 * [taylor]: Taking taylor expansion of 1 in x 0.587 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.587 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.587 * [taylor]: Taking taylor expansion of 2 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.593 * [approximate]: Taking taylor expansion of (log1p (exp (/ 2 x))) in (x) around 0 0.594 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.594 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.594 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.594 * [taylor]: Taking taylor expansion of 1 in x 0.594 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.594 * [taylor]: Taking taylor expansion of 2 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.594 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.594 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.594 * [taylor]: Taking taylor expansion of 1 in x 0.594 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.594 * [taylor]: Taking taylor expansion of 2 in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.615 * [approximate]: Taking taylor expansion of (log1p (exp (/ -2 x))) in (x) around 0 0.615 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.615 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.615 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.615 * [taylor]: Taking taylor expansion of 1 in x 0.615 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.615 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.615 * [taylor]: Taking taylor expansion of -2 in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.616 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.616 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.616 * [taylor]: Taking taylor expansion of 1 in x 0.616 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.616 * [taylor]: Taking taylor expansion of -2 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.636 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.636 * [approximate]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in (x) around 0 0.636 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.636 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.636 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.636 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.636 * [taylor]: Taking taylor expansion of 1 in x 0.636 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.636 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.636 * [taylor]: Taking taylor expansion of 2 in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (exp (log1p (exp (* 2 x)))) in x 0.638 * [taylor]: Taking taylor expansion of (log1p (exp (* 2 x))) in x 0.638 * [taylor]: Rewrote expression to (log (+ 1 (exp (* 2 x)))) 0.638 * [taylor]: Taking taylor expansion of (+ 1 (exp (* 2 x))) in x 0.638 * [taylor]: Taking taylor expansion of 1 in x 0.638 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.638 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.638 * [taylor]: Taking taylor expansion of 2 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.648 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.648 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.649 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.649 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1 in x 0.649 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.649 * [taylor]: Taking taylor expansion of 2 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ 2 x)))) in x 0.649 * [taylor]: Taking taylor expansion of (log1p (exp (/ 2 x))) in x 0.649 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ 2 x)))) 0.649 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ 2 x))) in x 0.649 * [taylor]: Taking taylor expansion of 1 in x 0.649 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.649 * [taylor]: Taking taylor expansion of 2 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.684 * [approximate]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.684 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.684 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.684 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.684 * [taylor]: Taking taylor expansion of 1 in x 0.684 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.684 * [taylor]: Taking taylor expansion of -2 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (exp (log1p (exp (/ -2 x)))) in x 0.685 * [taylor]: Taking taylor expansion of (log1p (exp (/ -2 x))) in x 0.685 * [taylor]: Rewrote expression to (log (+ 1 (exp (/ -2 x)))) 0.685 * [taylor]: Taking taylor expansion of (+ 1 (exp (/ -2 x))) in x 0.685 * [taylor]: Taking taylor expansion of 1 in x 0.685 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 0.685 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.685 * [taylor]: Taking taylor expansion of -2 in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.714 * * * [progress]: simplifying candidates 0.715 * [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) 0.719 * * [simplify]: iteration 0 : 182 enodes (cost 523 ) 0.723 * * [simplify]: iteration 1 : 556 enodes (cost 477 ) 0.734 * * [simplify]: iteration 2 : 2509 enodes (cost 465 ) 0.778 * * [simplify]: iteration 3 : 5001 enodes (cost 451 ) 0.781 * [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))) 0.781 * * * [progress]: adding candidates to table 0.912 * * [progress]: iteration 3 / 4 0.912 * * * [progress]: picking best candidate 0.921 * * * * [pick]: Picked # 0.922 * * * [progress]: localizing error 0.936 * * * [progress]: generating rewritten candidates 0.936 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.940 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.951 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.952 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.960 * * * [progress]: generating series expansions 0.960 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.960 * [approximate]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 0.960 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.960 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.960 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.960 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.960 * [taylor]: Taking taylor expansion of 2 in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of 1 in x 0.961 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 0.961 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 0.961 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 0.961 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.961 * [taylor]: Taking taylor expansion of 1 in x 0.961 * [taylor]: Taking taylor expansion of 1 in x 0.961 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 0.961 * [taylor]: Taking taylor expansion of (exp x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (exp x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 0.968 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 0.968 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 0.968 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 0.968 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.968 * [taylor]: Taking taylor expansion of 2 in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of 1 in x 0.969 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 0.969 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 0.969 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 0.969 * [taylor]: Taking taylor expansion of (* 1 1) in x 0.969 * [taylor]: Taking taylor expansion of 1 in x 0.969 * [taylor]: Taking taylor expansion of 1 in x 0.969 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 0.969 * [taylor]: Taking taylor expansion of (exp x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (exp x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 1.033 * [approximate]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in (x) around 0 1.033 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.033 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.033 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.033 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.033 * [taylor]: Taking taylor expansion of 2 in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.034 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.034 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.034 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.034 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [taylor]: Taking taylor expansion of 1 in x 1.034 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.034 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.034 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.034 * [taylor]: Taking taylor expansion of x in x 1.036 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.036 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.036 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.036 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.036 * [taylor]: Taking taylor expansion of 2 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of 1 in x 1.037 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.037 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.037 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.037 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.037 * [taylor]: Taking taylor expansion of 1 in x 1.037 * [taylor]: Taking taylor expansion of 1 in x 1.037 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.037 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.037 * [taylor]: Taking taylor expansion of x in x 1.058 * [approximate]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in (x) around 0 1.058 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.058 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.058 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.058 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.058 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.058 * [taylor]: Taking taylor expansion of -2 in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of 1 in x 1.059 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.059 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.059 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.059 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.059 * [taylor]: Taking taylor expansion of 1 in x 1.059 * [taylor]: Taking taylor expansion of 1 in x 1.059 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.059 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.062 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.062 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.062 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.062 * [taylor]: Taking taylor expansion of -2 in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of 1 in x 1.062 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.062 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.062 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.062 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.062 * [taylor]: Taking taylor expansion of 1 in x 1.062 * [taylor]: Taking taylor expansion of 1 in x 1.062 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.062 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.062 * [taylor]: Taking taylor expansion of -1 in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.063 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.063 * [taylor]: Taking taylor expansion of -1 in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.083 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.084 * [approximate]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in x 1.084 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 1.084 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.084 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.084 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.084 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.084 * [taylor]: Taking taylor expansion of 2 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of 1 in x 1.085 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.085 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.085 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.085 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.085 * [taylor]: Taking taylor expansion of 1 in x 1.085 * [taylor]: Taking taylor expansion of 1 in x 1.085 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.085 * [taylor]: Taking taylor expansion of (exp x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (exp x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 x))))) in x 1.091 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 x)))) in x 1.091 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.091 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.091 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.091 * [taylor]: Taking taylor expansion of 1 in x 1.091 * [taylor]: Taking taylor expansion of 1 in x 1.091 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.091 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.091 * [taylor]: Taking taylor expansion of 2 in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (* (/ (expm1 (* 2 x)) (hypot 1 (exp x))) (sqrt (/ 1 (fma 1 1 (exp (* 2 x)))))) in x 1.096 * [taylor]: Taking taylor expansion of (/ (expm1 (* 2 x)) (hypot 1 (exp x))) in x 1.096 * [taylor]: Taking taylor expansion of (expm1 (* 2 x)) in x 1.096 * [taylor]: Rewrote expression to (- (exp (* 2 x)) 1) 1.096 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.096 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.096 * [taylor]: Taking taylor expansion of 2 in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1 in x 1.097 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.097 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.097 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.097 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.097 * [taylor]: Taking taylor expansion of 1 in x 1.097 * [taylor]: Taking taylor expansion of 1 in x 1.097 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.097 * [taylor]: Taking taylor expansion of (exp x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (exp x) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 x))))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 x)))) in x 1.103 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.103 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.103 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.103 * [taylor]: Taking taylor expansion of 1 in x 1.103 * [taylor]: Taking taylor expansion of 1 in x 1.103 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.103 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.103 * [taylor]: Taking taylor expansion of 2 in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.242 * [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 1.242 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))))) in x 1.242 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.243 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.243 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.243 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.243 * [taylor]: Taking taylor expansion of 2 in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [taylor]: Taking taylor expansion of 1 in x 1.243 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.243 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.243 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.243 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.243 * [taylor]: Taking taylor expansion of 1 in x 1.243 * [taylor]: Taking taylor expansion of 1 in x 1.243 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.243 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x)))))) in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.246 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.246 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.246 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.246 * [taylor]: Taking taylor expansion of 1 in x 1.246 * [taylor]: Taking taylor expansion of 1 in x 1.246 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.246 * [taylor]: Taking taylor expansion of 2 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))))) in x 1.248 * [taylor]: Taking taylor expansion of (/ (expm1 (/ 2 x)) (hypot 1 (exp (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (expm1 (/ 2 x)) in x 1.248 * [taylor]: Rewrote expression to (- (exp (/ 2 x)) 1) 1.248 * [taylor]: Taking taylor expansion of (exp (/ 2 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 2 x) in x 1.248 * [taylor]: Taking taylor expansion of 2 in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of 1 in x 1.248 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.248 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.248 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.248 * [taylor]: Taking taylor expansion of 1 in x 1.248 * [taylor]: Taking taylor expansion of 1 in x 1.248 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.248 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (* 2 (/ 1 x)))))) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (* 2 (/ 1 x))))) in x 1.251 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.251 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.251 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.251 * [taylor]: Taking taylor expansion of 1 in x 1.251 * [taylor]: Taking taylor expansion of 1 in x 1.251 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of 2 in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.289 * [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 1.290 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))))) in x 1.290 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.290 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.290 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.290 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.290 * [taylor]: Taking taylor expansion of -2 in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of 1 in x 1.290 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.290 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.290 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.290 * [taylor]: Taking taylor expansion of 1 in x 1.290 * [taylor]: Taking taylor expansion of 1 in x 1.290 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.290 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.290 * [taylor]: Taking taylor expansion of -1 in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.291 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.291 * [taylor]: Taking taylor expansion of -1 in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x))))))) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.293 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.293 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.293 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.293 * [taylor]: Taking taylor expansion of 1 in x 1.293 * [taylor]: Taking taylor expansion of 1 in x 1.293 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.293 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.293 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of 2 in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of (* (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))))) in x 1.295 * [taylor]: Taking taylor expansion of (/ (expm1 (/ -2 x)) (hypot 1 (exp (/ -1 x)))) in x 1.295 * [taylor]: Taking taylor expansion of (expm1 (/ -2 x)) in x 1.295 * [taylor]: Rewrote expression to (- (exp (/ -2 x)) 1) 1.295 * [taylor]: Taking taylor expansion of (exp (/ -2 x)) in x 1.295 * [taylor]: Taking taylor expansion of (/ -2 x) in x 1.295 * [taylor]: Taking taylor expansion of -2 in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1 in x 1.296 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.296 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.296 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.296 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.296 * [taylor]: Taking taylor expansion of 1 in x 1.296 * [taylor]: Taking taylor expansion of 1 in x 1.296 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.296 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.296 * [taylor]: Taking taylor expansion of -1 in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.296 * [taylor]: Taking taylor expansion of -1 in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x))))))) in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 (fma 1 1 (exp (- (* 2 (/ 1 x)))))) in x 1.298 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.299 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.299 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.299 * [taylor]: Taking taylor expansion of 1 in x 1.299 * [taylor]: Taking taylor expansion of 1 in x 1.299 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.299 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.299 * [taylor]: Taking taylor expansion of 2 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.334 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.334 * [approximate]: Taking taylor expansion of (hypot 1 (exp x)) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.334 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.334 * [taylor]: Taking taylor expansion of 1 in x 1.334 * [taylor]: Taking taylor expansion of 1 in x 1.334 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.334 * [taylor]: Taking taylor expansion of (exp x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (exp x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (hypot 1 (exp x)) in x 1.338 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp x) (exp x)))) 1.338 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp x) (exp x))) in x 1.338 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.338 * [taylor]: Taking taylor expansion of 1 in x 1.338 * [taylor]: Taking taylor expansion of 1 in x 1.338 * [taylor]: Taking taylor expansion of (* (exp x) (exp x)) in x 1.338 * [taylor]: Taking taylor expansion of (exp x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (exp x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.355 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.355 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.355 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.355 * [taylor]: Taking taylor expansion of 1 in x 1.355 * [taylor]: Taking taylor expansion of 1 in x 1.355 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1 x))) in x 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x))))) 1.357 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1 x)) (exp (/ 1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.357 * [taylor]: Taking taylor expansion of 1 in x 1.357 * [taylor]: Taking taylor expansion of 1 in x 1.358 * [taylor]: Taking taylor expansion of (* (exp (/ 1 x)) (exp (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.377 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in (x) around 0 1.377 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.377 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.377 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.377 * [taylor]: Taking taylor expansion of 1 in x 1.377 * [taylor]: Taking taylor expansion of 1 in x 1.377 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.377 * [taylor]: Taking taylor expansion of -1 in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.377 * [taylor]: Taking taylor expansion of -1 in x 1.377 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1 x))) in x 1.379 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x))))) 1.379 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1 x)) (exp (/ -1 x)))) in x 1.379 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.379 * [taylor]: Taking taylor expansion of 1 in x 1.379 * [taylor]: Taking taylor expansion of 1 in x 1.379 * [taylor]: Taking taylor expansion of (* (exp (/ -1 x)) (exp (/ -1 x))) in x 1.379 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.379 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.379 * [taylor]: Taking taylor expansion of -1 in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.380 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.380 * [taylor]: Taking taylor expansion of -1 in x 1.380 * [taylor]: Taking taylor expansion of x in x 1.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.393 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in (x) around 0 1.393 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.393 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.393 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.393 * [taylor]: Taking taylor expansion of 1 in x 1.393 * [taylor]: Taking taylor expansion of 1 in x 1.393 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.393 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.393 * [taylor]: Taking taylor expansion of 2 in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 x))) in x 1.394 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 x))) 1.394 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.394 * [taylor]: Taking taylor expansion of 1 in x 1.394 * [taylor]: Taking taylor expansion of 1 in x 1.394 * [taylor]: Taking taylor expansion of (exp (* 2 x)) in x 1.394 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.394 * [taylor]: Taking taylor expansion of 2 in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.399 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in (x) around 0 1.399 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.399 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 x)))) 1.399 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.399 * [taylor]: Taking taylor expansion of 1 in x 1.399 * [taylor]: Taking taylor expansion of 1 in x 1.399 * [taylor]: Taking taylor expansion of (exp (* 2 (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.399 * [taylor]: Taking taylor expansion of 2 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.400 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (* 2 (/ 1 x)))) in x 1.400 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (* 2 (/ 1 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 (/ 1 x))) in x 1.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.400 * [taylor]: Taking taylor expansion of 2 in x 1.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.400 * [taylor]: Taking taylor expansion of x in x 1.406 * [approximate]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in (x) around 0 1.406 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.406 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.406 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.406 * [taylor]: Taking taylor expansion of 1 in x 1.406 * [taylor]: Taking taylor expansion of 1 in x 1.406 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.406 * [taylor]: Taking taylor expansion of 2 in x 1.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.406 * [taylor]: Taking taylor expansion of x in x 1.407 * [taylor]: Taking taylor expansion of (fma 1 1 (exp (- (* 2 (/ 1 x))))) in x 1.407 * [taylor]: Rewrote expression to (+ (* 1 1) (exp (- (* 2 (/ 1 x))))) 1.407 * [taylor]: Taking taylor expansion of (* 1 1) in x 1.407 * [taylor]: Taking taylor expansion of 1 in x 1.407 * [taylor]: Taking taylor expansion of 1 in x 1.407 * [taylor]: Taking taylor expansion of (exp (- (* 2 (/ 1 x)))) in x 1.407 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x))) in x 1.407 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.407 * [taylor]: Taking taylor expansion of 2 in x 1.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.413 * * * [progress]: simplifying candidates 1.416 * [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) 1.429 * * [simplify]: iteration 0 : 711 enodes (cost 2850 ) 1.441 * * [simplify]: iteration 1 : 2950 enodes (cost 2529 ) 1.477 * * [simplify]: iteration 2 : 5001 enodes (cost 2340 ) 1.488 * [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) 1.489 * * * [progress]: adding candidates to table 1.891 * * [progress]: iteration 4 / 4 1.891 * * * [progress]: picking best candidate 1.897 * * * * [pick]: Picked # 1.897 * * * [progress]: localizing error 1.912 * * * [progress]: generating rewritten candidates 1.912 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 3 2) 1.918 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 3) 1.921 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.924 * * * [progress]: generating series expansions 1.924 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 3 2) 1.924 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.924 * [taylor]: Taking taylor expansion of 1/3 in x 1.924 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.924 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.924 * [taylor]: Taking taylor expansion of 1/3 in x 1.924 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.924 * [taylor]: Taking taylor expansion of x in x 1.936 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.936 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.936 * [taylor]: Taking taylor expansion of 1/3 in x 1.936 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.937 * [taylor]: Taking taylor expansion of 1/3 in x 1.937 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.948 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 1.948 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.948 * [taylor]: Taking taylor expansion of -1/3 in x 1.948 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.948 * [taylor]: Taking taylor expansion of x in x 1.949 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.949 * [taylor]: Taking taylor expansion of -1/3 in x 1.949 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.960 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 3) 1.960 * [approximate]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in (x) around 0 1.960 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.960 * [taylor]: Taking taylor expansion of 1/3 in x 1.960 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.960 * [taylor]: Taking taylor expansion of 1/3 in x 1.960 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.976 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in (x) around 0 1.976 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.976 * [taylor]: Taking taylor expansion of 1/3 in x 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.976 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.977 * [taylor]: Taking taylor expansion of 1/3 in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.977 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.977 * [taylor]: Taking taylor expansion of x in x 2.011 * [approximate]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.011 * [taylor]: Taking taylor expansion of 1/3 in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.011 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.012 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.012 * [taylor]: Taking taylor expansion of 1/3 in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.012 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.040 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.040 * [approximate]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in (x) around 0 2.040 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 2.040 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 2.040 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 2.040 * [taylor]: Taking taylor expansion of (pow x 5) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of 2/15 in x 2.040 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.040 * [taylor]: Taking taylor expansion of 1/3 in x 2.040 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))) in x 2.040 * [taylor]: Rewrote expression to (+ (* (pow x 5) 2/15) (- x (* 1/3 (pow x 3)))) 2.040 * [taylor]: Taking taylor expansion of (* (pow x 5) 2/15) in x 2.040 * [taylor]: Taking taylor expansion of (pow x 5) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of 2/15 in x 2.040 * [taylor]: Taking taylor expansion of (- x (* 1/3 (pow x 3))) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 2.040 * [taylor]: Taking taylor expansion of 1/3 in x 2.040 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.048 * [approximate]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 2.048 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 2.049 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 2.049 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 2.049 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of 2/15 in x 2.049 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.049 * [taylor]: Taking taylor expansion of 1/3 in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.049 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (fma (pow (/ 1 x) 5) 2/15 (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) in x 2.050 * [taylor]: Rewrote expression to (+ (* (pow (/ 1 x) 5) 2/15) (- (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) 2.050 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 5) 2/15) in x 2.050 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 5) in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of 2/15 in x 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/3 (/ 1 (pow x 3)))) in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.051 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.051 * [taylor]: Taking taylor expansion of 1/3 in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.051 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.051 * [taylor]: Taking taylor expansion of x in x 2.075 * [approximate]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in (x) around 0 2.075 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 2.075 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 2.075 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 2.075 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 2.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.075 * [taylor]: Taking taylor expansion of -1 in x 2.075 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of 2/15 in x 2.075 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.075 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.075 * [taylor]: Taking taylor expansion of 1/3 in x 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.075 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of (fma (pow (/ -1 x) 5) 2/15 (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) in x 2.077 * [taylor]: Rewrote expression to (+ (* (pow (/ -1 x) 5) 2/15) (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x))) 2.077 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 5) 2/15) in x 2.077 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 5) in x 2.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.077 * [taylor]: Taking taylor expansion of -1 in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.077 * [taylor]: Taking taylor expansion of 2/15 in x 2.077 * [taylor]: Taking taylor expansion of (- (* 1/3 (/ 1 (pow x 3))) (/ 1 x)) in x 2.077 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 2.077 * [taylor]: Taking taylor expansion of 1/3 in x 2.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 2.077 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.077 * [taylor]: Taking taylor expansion of x in x 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.096 * * * [progress]: simplifying candidates 2.097 * [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))) 2.101 * * [simplify]: iteration 0 : 206 enodes (cost 338 ) 2.106 * * [simplify]: iteration 1 : 835 enodes (cost 292 ) 2.129 * * [simplify]: iteration 2 : 5002 enodes (cost 292 ) 2.132 * [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)))) 2.132 * * * [progress]: adding candidates to table 2.264 * [progress]: [Phase 3 of 3] Extracting. 2.264 * * [regime]: Finding splitpoints for: (# # # # #) 2.264 * * * [regime-changes]: Trying 2 branch expressions: ((/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) x) 2.264 * * * * [regimes]: Trying to branch on (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) from (# # # # #) 2.286 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.309 * * * [regime]: Found split indices: #