6.229 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.060 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.061 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.061 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.063 * * * * [pick]: Picked # 0.063 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.071 * * * [progress]: generating series expansions 0.071 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.071 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.124 * * * [progress]: simplifying candidates 0.125 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.129 * * [simplify]: iteration 0 : 129 enodes (cost 99 ) 0.133 * * [simplify]: iteration 1 : 357 enodes (cost 89 ) 0.142 * * [simplify]: iteration 2 : 1274 enodes (cost 86 ) 0.172 * * [simplify]: iteration 3 : 5001 enodes (cost 81 ) 0.174 * [simplify]: Simplified to: (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) 0.174 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.226 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.259 * [approximate]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.259 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.259 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.259 * [taylor]: Taking taylor expansion of 1/2 in x 0.259 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.260 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.260 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.261 * [taylor]: Taking taylor expansion of 1/2 in x 0.261 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [approximate]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.271 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.271 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.272 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.274 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.274 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.274 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.275 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [approximate]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.293 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.293 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.293 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.294 * [taylor]: Taking taylor expansion of 1/2 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.294 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.295 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.295 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.296 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.296 * [taylor]: Taking taylor expansion of 1/2 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.296 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.309 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.310 * [taylor]: Taking taylor expansion of 1/2 in x 0.310 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.329 * [taylor]: Taking taylor expansion of 1/2 in x 0.329 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.346 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.346 * [taylor]: Taking taylor expansion of 1/2 in x 0.346 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.347 * [taylor]: Taking taylor expansion of 1/2 in x 0.347 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * * * [progress]: simplifying candidates 0.370 * [simplify]: Simplifying using # : (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (* (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (log (pow 1.0 2)))) (+ (log 1/2) (log (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow 1.0 2) (pow 1.0 2)) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))) (/ (pow x 2) (pow 1.0 2)))) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* 1/2 (sqrt (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1.0)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow (sqrt x) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow 1 2))) (* 1/2 (/ (pow (sqrt x) 2) 1.0)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow 1 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow 1 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow 1 2) (pow 1 2))) (* 1/2 (/ (pow 1 2) 1.0)) (* 1/2 (/ (pow 1 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow 1 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ (pow 1 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ x (pow (sqrt 1.0) 2))) (* 1/2 (/ x (pow 1 2))) (* 1/2 (/ x 1.0)) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ x (sqrt (pow 1.0 2)))) (* 1/2 (/ x 1)) (* 1/2 (/ x (pow 1.0 (/ 2 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (sqrt 1.0) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1.0)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (pow 1.0 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (sqrt (pow x 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow 1 2))) (* 1/2 (/ (sqrt (pow x 2)) 1.0)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (/ 1 (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow 1 2))) (* 1/2 (/ 1 1.0)) (* 1/2 (/ 1 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ 1 (sqrt (pow 1.0 2)))) (* 1/2 (/ 1 1)) (* 1/2 (/ 1 (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow x (/ 2 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow 1 2))) (* 1/2 (/ (pow x (/ 2 2)) 1.0)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (pow x 2)) (* 1/2 (- (pow x 2))) (* 1/2 1) (* 1/2 (/ (pow x 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow x 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (pow 1 2))) (* 1/2 (/ (pow x 2) 1.0)) (* 1/2 (/ (pow x 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow x 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow x 2) 1)) (* 1/2 (/ (pow x 2) (pow 1.0 (/ 2 2)))) (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (* 1/2 (pow (sqrt x) 2)) (* 1/2 (pow 1 2)) (* 1/2 x) (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (* 1/2 (sqrt (pow x 2))) (* 1/2 1) (* 1/2 (pow x (/ 2 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.380 * * [simplify]: iteration 0 : 599 enodes (cost 820 ) 0.391 * * [simplify]: iteration 1 : 2642 enodes (cost 684 ) 0.431 * * [simplify]: iteration 2 : 5001 enodes (cost 683 ) 0.435 * [simplify]: Simplified to: (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* (/ (fabs (/ x 1.0)) 1) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (fabs 1.0)) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (* (/ (/ x (cbrt (pow 1.0 2))) (cbrt (pow 1.0 2))) 1/2) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) (/ 1/2 (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ 1/2 1.0) 1/2 (/ 1/2 1.0) (/ 1/2 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ 1/2 (sqrt (pow 1.0 2))) 1/2 (/ 1/2 1.0) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (* (/ (/ x (cbrt (pow 1.0 2))) (cbrt (pow 1.0 2))) 1/2) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) 1.0) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) 1.0) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (fabs 1.0)) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) 1.0) (/ (* 1/2 (fabs x)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 (fabs x)) 1.0) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) 1.0) (* (/ 1/2 (cbrt (pow 1.0 2))) (/ (fabs x) (cbrt (pow 1.0 2)))) (/ (* 1/2 (fabs x)) (fabs 1.0)) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) 1.0) (/ 1/2 (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ 1/2 1.0) 1/2 (/ 1/2 1.0) (/ 1/2 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ 1/2 (sqrt (pow 1.0 2))) 1/2 (/ 1/2 1.0) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (* (/ (/ x (cbrt (pow 1.0 2))) (cbrt (pow 1.0 2))) 1/2) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) 1/2 (* (pow x 2) 1/2) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* (pow x 2) 1/2) (* 1/2 (- (pow x 2))) 1/2 (* 1/2 (/ (pow x 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 (pow x 2)) 1.0) (* (pow x 2) 1/2) (/ (* 1/2 (pow x 2)) 1.0) (* 1/2 (/ (pow x 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* (pow x 2) 1/2) (fabs 1.0)) (* (pow x 2) 1/2) (/ (* 1/2 (pow x 2)) 1.0) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* x 1/2) 1/2 (* x 1/2) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (fabs x) 2) 1/2 (* x 1/2) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.436 * * * [progress]: adding candidates to table 0.906 * * [progress]: iteration 3 / 4 0.906 * * * [progress]: picking best candidate 0.911 * * * * [pick]: Picked # 0.911 * * * [progress]: localizing error 0.919 * * * [progress]: generating rewritten candidates 0.919 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.923 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.928 * * * [progress]: generating series expansions 0.928 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.928 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.931 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.967 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.967 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.988 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.988 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.988 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 1.018 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.018 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.018 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.020 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.020 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.054 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.056 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.107 * * * [progress]: simplifying candidates 1.108 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt 1)) (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log 1) (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (exp (log (sqrt (+ 1.0 x)))) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (* (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 1.112 * * [simplify]: iteration 0 : 141 enodes (cost 314 ) 1.115 * * [simplify]: iteration 1 : 358 enodes (cost 284 ) 1.122 * * [simplify]: iteration 2 : 1276 enodes (cost 272 ) 1.152 * * [simplify]: iteration 3 : 5001 enodes (cost 264 ) 1.154 * [simplify]: Simplified to: (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (* 2 (log (cbrt (sqrt (+ 1.0 x))))) (log (cbrt (sqrt (+ 1.0 x)))) (log (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (log (sqrt (cbrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (sqrt (+ 1.0 x)))) (log (sqrt (sqrt (+ 1.0 x)))) 0 (log (sqrt (+ 1.0 x))) (log (sqrt (+ (pow 1.0 3) (pow x 3)))) (log (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (- 1.0 x))) (log (+ 1.0 x)) (log (sqrt (+ 1.0 x))) (log (+ 1.0 x)) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) (- (log +nan.0) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) 1.154 * * * [progress]: adding candidates to table 1.232 * * [progress]: iteration 4 / 4 1.232 * * * [progress]: picking best candidate 1.235 * * * * [pick]: Picked # 1.236 * * * [progress]: localizing error 1.242 * * * [progress]: generating rewritten candidates 1.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.252 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.255 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.257 * * * [progress]: generating series expansions 1.257 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.258 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.258 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.258 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.259 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.259 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.286 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.287 * [taylor]: Taking taylor expansion of 1.0 in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.302 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.302 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.303 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.315 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.315 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.316 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.336 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.353 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.353 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.354 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.380 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.381 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.397 * [approximate]: Taking taylor expansion of (pow (log (+ x 1.0)) 1/3) in (x) around 0 1.397 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 1/3) in x 1.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ x 1.0))))) in x 1.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ x 1.0)))) in x 1.397 * [taylor]: Taking taylor expansion of 1/3 in x 1.397 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.397 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.397 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.401 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 1/3) in x 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ x 1.0))))) in x 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ x 1.0)))) in x 1.401 * [taylor]: Taking taylor expansion of 1/3 in x 1.401 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.401 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.401 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [approximate]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 1/3) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 1/3) in x 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 x) 1.0))))) in x 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 x) 1.0)))) in x 1.502 * [taylor]: Taking taylor expansion of 1/3 in x 1.502 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 1.502 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 1/3) in x 1.504 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 x) 1.0))))) in x 1.504 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 x) 1.0)))) in x 1.504 * [taylor]: Taking taylor expansion of 1/3 in x 1.504 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 1.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [approximate]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 1/3) in (x) around 0 1.524 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 1/3) in x 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 x)))))) in x 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 x))))) in x 1.524 * [taylor]: Taking taylor expansion of 1/3 in x 1.524 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.524 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.525 * [taylor]: Taking taylor expansion of 1.0 in x 1.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.528 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 1/3) in x 1.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (- 1.0 (/ 1 x)))))) in x 1.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (- 1.0 (/ 1 x))))) in x 1.528 * [taylor]: Taking taylor expansion of 1/3 in x 1.528 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.528 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.528 * [taylor]: Taking taylor expansion of 1.0 in x 1.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.528 * [taylor]: Taking taylor expansion of x in x 1.559 * * * [progress]: simplifying candidates 1.560 * [simplify]: Simplifying using # : (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log 1) (log (+ 1.0 x)) (log 1) (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (exp (log (+ 1.0 x))) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (cbrt (log (+ 1.0 x)))) (log1p (cbrt (log (+ 1.0 x)))) (log (cbrt (log (+ 1.0 x)))) (exp (cbrt (log (+ 1.0 x)))) (cbrt 1) (cbrt (log (+ 1.0 x))) (cbrt (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))) (cbrt (cbrt (log (+ 1.0 x)))) (cbrt (sqrt (log (+ 1.0 x)))) (cbrt (sqrt (log (+ 1.0 x)))) (cbrt 1) (cbrt (log (+ 1.0 x))) (* (cbrt (cbrt (log (+ 1.0 x)))) (cbrt (cbrt (log (+ 1.0 x))))) (cbrt (cbrt (log (+ 1.0 x)))) (* (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x)))) (sqrt (cbrt (log (+ 1.0 x)))) (sqrt (cbrt (log (+ 1.0 x)))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) (- (+ (pow (log 1.0) 1/3) (* 0.3333333333333333 (* x (pow (/ 1 (pow (log 1.0) 2)) 1/3)))) (+ (* 1/6 (* (/ (pow x 2) (pow 1.0 2)) (pow (/ 1 (pow (log 1.0) 2)) 1/3))) (* 0.1111111111111111 (* (pow x 2) (pow (/ 1 (pow (log 1.0) 5)) 1/3))))) (- (+ (* 0.16666666666666666 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 (pow x 2)))) (pow (- (log (/ 1 x))) 1/3)) (+ (* 0.3333333333333333 (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (/ 1 x))) (* 0.1111111111111111 (* (pow (/ -1 (pow (log (/ 1 x)) 5)) 1/3) (/ 1 (pow x 2)))))) (- (+ (pow (- (log -1) (log (/ -1 x))) 1/3) (* 0.3333333333333333 (* (/ 1 x) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3)))) (+ (* 0.16666666666666666 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3))) (* 0.1111111111111111 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 5)) 1/3))))) 1.566 * * [simplify]: iteration 0 : 319 enodes (cost 470 ) 1.571 * * [simplify]: iteration 1 : 1022 enodes (cost 431 ) 1.591 * * [simplify]: iteration 2 : 4262 enodes (cost 399 ) 1.671 * * [simplify]: iteration 3 : 5001 enodes (cost 396 ) 1.674 * [simplify]: Simplified to: (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (* 2 (log (cbrt (+ 1.0 x)))) (log (cbrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (+ (pow 1.0 3) (pow x 3))) (log (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (pow (log (+ 1.0 x)) 3) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (expm1 (cbrt (log (+ 1.0 x)))) (log1p (cbrt (log (+ 1.0 x)))) (log (cbrt (log (+ 1.0 x)))) (exp (cbrt (log (+ 1.0 x)))) (cbrt 1) (cbrt (log (+ 1.0 x))) (cbrt (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))) (cbrt (cbrt (log (+ 1.0 x)))) (cbrt (sqrt (log (+ 1.0 x)))) (cbrt (sqrt (log (+ 1.0 x)))) (cbrt 1) (cbrt (log (+ 1.0 x))) (* (cbrt (cbrt (log (+ 1.0 x)))) (cbrt (cbrt (log (+ 1.0 x))))) (cbrt (cbrt (log (+ 1.0 x)))) (log (+ 1.0 x)) (sqrt (cbrt (log (+ 1.0 x)))) (sqrt (cbrt (log (+ 1.0 x)))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (+ (- (- 0 (log (/ 1 x))) (/ (/ 0.5 x) x)) (/ 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (+ (- (- 0 (log (/ 1 x))) (/ (/ 0.5 x) x)) (/ 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma (/ 1 x) (- 1.0 (/ 0.5 x)) (log x)) (+ (- (- 0 (log (/ 1 x))) (/ (/ 0.5 x) x)) (/ 1.0 x)) (- (* (pow (/ 1 (pow (log 1.0) 2)) 1/3) (- (* 0.3333333333333333 x) (* 1/6 (/ (pow x 2) (pow 1.0 2))))) (- (* 0.1111111111111111 (* (pow x 2) (pow (/ 1 (pow (log 1.0) 5)) 1/3))) (pow (log 1.0) 1/3))) (+ (- (* (pow (/ -1 (pow (log (/ 1 x)) 2)) 1/3) (- (* 0.16666666666666666 (/ 1 (pow x 2))) (* 0.3333333333333333 (/ 1 x)))) (/ (* 0.1111111111111111 (pow (/ -1 (pow (log (/ 1 x)) 5)) 1/3)) (pow x 2))) (pow (log x) 1/3)) (- (* (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3) (- (* 0.3333333333333333 (/ 1 x)) (* 0.16666666666666666 (/ 1 (pow x 2))))) (- (/ (* 0.1111111111111111 (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 5)) 1/3)) (pow x 2)) (pow (- (log -1) (log (/ -1 x))) 1/3))) 1.674 * * * [progress]: adding candidates to table 1.835 * [progress]: [Phase 3 of 3] Extracting. 1.835 * * [regime]: Finding splitpoints for: (# # # # #) 1.835 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.835 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # #) 1.854 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.866 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # # #) 1.888 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.914 * * * [regime]: Found split indices: #