2.777 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.064 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.066 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.067 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.068 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.074 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.118 * * * [progress]: simplifying candidates 0.119 * [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)))) 0.122 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.125 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.131 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.160 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.161 * [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)) 0.161 * * * [progress]: adding candidates to table 0.203 * * [progress]: iteration 2 / 4 0.203 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3 2) 0.251 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 1 ] generating series at (2 3 2) 0.253 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.253 * [taylor]: Taking taylor expansion of 1/2 in x 0.253 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.254 * [taylor]: Taking taylor expansion of 1/2 in x 0.254 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.269 * [taylor]: Taking taylor expansion of 1/2 in x 0.269 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.271 * [taylor]: Taking taylor expansion of 1/2 in x 0.271 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.286 * [taylor]: Taking taylor expansion of 1/2 in x 0.286 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * * * [progress]: simplifying candidates 0.310 * [simplify]: Simplifying using # : (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)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.318 * * [simplify]: iteration 0 : 535 enodes (cost 648 ) 0.326 * * [simplify]: iteration 1 : 2311 enodes (cost 536 ) 0.361 * * [simplify]: iteration 2 : 5001 enodes (cost 535 ) 0.364 * [simplify]: Simplified to: (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) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 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) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 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))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) 1.0) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 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)))) (fabs 1.0)) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 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) (/ (* 1/2 x) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2)))) (/ (* x 1/2) (fabs 1.0)) (* x 1/2) (/ (* 1/2 x) 1.0) 1/2 (* 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)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.365 * * * [progress]: adding candidates to table 0.609 * * [progress]: iteration 3 / 4 0.609 * * * [progress]: picking best candidate 0.614 * * * * [pick]: Picked # 0.614 * * * [progress]: localizing error 0.620 * * * [progress]: generating rewritten candidates 0.620 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.628 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.633 * * * [progress]: generating series expansions 0.633 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.633 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.633 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.636 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.689 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.689 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.689 * [taylor]: Taking taylor expansion of 1.0 in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of 1.0 in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.717 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.717 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.717 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.719 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.720 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.750 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.752 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.771 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.771 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.773 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.798 * * * [progress]: simplifying candidates 0.799 * [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))))) 0.802 * * [simplify]: iteration 0 : 143 enodes (cost 314 ) 0.805 * * [simplify]: iteration 1 : 362 enodes (cost 284 ) 0.811 * * [simplify]: iteration 2 : 1284 enodes (cost 272 ) 0.840 * * [simplify]: iteration 3 : 5002 enodes (cost 264 ) 0.842 * [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))) 0.842 * * * [progress]: adding candidates to table 0.939 * * [progress]: iteration 4 / 4 0.939 * * * [progress]: picking best candidate 0.945 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.951 * * * [progress]: generating rewritten candidates 0.951 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.955 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.957 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.964 * * * [progress]: generating series expansions 0.964 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.965 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.965 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 1.006 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.006 * [approximate]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in x 1.006 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.006 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (pow (log (+ x 1.0)) 3) in x 1.007 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.007 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [approximate]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in (x) around 0 1.051 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in x 1.051 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 x) 1.0)) 3) in x 1.052 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [approximate]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in x 1.069 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 x))) 3) in x 1.071 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.104 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.104 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.104 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.104 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of 1.0 in x 1.104 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.116 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.137 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.151 * * * [progress]: simplifying candidates 1.153 * [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 (pow (log (+ 1.0 x)) 3)) (log1p (pow (log (+ 1.0 x)) 3)) (* (log (log (+ 1.0 x))) 3) (* (log (log (+ 1.0 x))) 3) (* 1 3) (pow (log (+ 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (log (+ 1.0 x)) (sqrt 3)) (pow (log (+ 1.0 x)) 1) (pow 1 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3) (pow (cbrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow 1 3) (pow (log (+ 1.0 x)) 3) (* (log (+ 1.0 x)) (log (+ 1.0 x))) (log (pow (log (+ 1.0 x)) 3)) (exp (pow (log (+ 1.0 x)) 3)) (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow (log (+ 1.0 x)) 3)) (* (* (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 3)) (pow 1 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3) (pow (cbrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow (sqrt (log (+ 1.0 x))) 3) (pow 1 3) (pow (log (+ 1.0 x)) 3) (* (log (+ 1.0 x)) (log (+ 1.0 x))) (sqrt (pow (log (+ 1.0 x)) 3)) (sqrt (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) (/ 3 2)) (pow (log (+ 1.0 x)) (/ 3 2)) (expm1 (cbrt (pow (log (+ 1.0 x)) 3))) (log1p (cbrt (pow (log (+ 1.0 x)) 3))) (log (cbrt (pow (log (+ 1.0 x)) 3))) (exp (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3)) (cbrt (pow (cbrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (cbrt (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3)))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) 3)) (cbrt (pow (cbrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow (sqrt (log (+ 1.0 x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt 1) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) (/ 3 2))) (cbrt (pow (log (+ 1.0 x)) (/ 3 2))) (* (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3)))) (cbrt (cbrt (pow (log (+ 1.0 x)) 3))) (* (* (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (log (+ 1.0 x)) 3))) (cbrt (pow (log (+ 1.0 x)) 3))) (sqrt (cbrt (pow (log (+ 1.0 x)) 3))) (sqrt (cbrt (pow (log (+ 1.0 x)) 3))) (- (+ (* 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)))) (- (+ (* 3.0 (* (pow x 2) (log 1.0))) (+ (* 3.0 (* x (pow (log 1.0) 2))) (pow (log 1.0) 3))) (* 3/2 (/ (* (pow x 2) (pow (log 1.0) 2)) (pow 1.0 2)))) (- (* 3.0 (/ (pow (log (/ 1 x)) 2) x)) (+ (pow (log (/ 1 x)) 3) (+ (* 3.0 (/ (log (/ 1 x)) (pow x 2))) (* 1.5 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))) (- (+ (* 3 (* (log -1) (pow (log (/ -1 x)) 2))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 x))) (pow x 2))) (+ (* 3.0 (/ (pow (log (/ -1 x)) 2) x)) (+ (* 3.0 (/ (pow (log -1) 2) x)) (+ (* 3.0 (/ (log -1) (pow x 2))) (pow (log -1) 3)))))) (+ (pow (log (/ -1 x)) 3) (+ (* 3 (* (pow (log -1) 2) (log (/ -1 x)))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 x))) x)) (+ (* 1.5 (/ (pow (log (/ -1 x)) 2) (pow x 2))) (+ (* 1.5 (/ (pow (log -1) 2) (pow x 2))) (* 3.0 (/ (log (/ -1 x)) (pow x 2))))))))) (- (+ (* 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)))) 1.158 * * [simplify]: iteration 0 : 422 enodes (cost 449 ) 1.166 * * [simplify]: iteration 1 : 1720 enodes (cost 429 ) 1.195 * * [simplify]: iteration 2 : 5001 enodes (cost 421 ) 1.197 * [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)) (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 (pow (log (+ 1.0 x)) 3)) (log1p (pow (log (+ 1.0 x)) 3)) (log (pow (log (+ 1.0 x)) 3)) (log (pow (log (+ 1.0 x)) 3)) 3 (pow (log (+ 1.0 x)) (* (cbrt 3) (cbrt 3))) (pow (log (+ 1.0 x)) (sqrt 3)) (log (+ 1.0 x)) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (pow (log (+ 1.0 x)) 3)) (exp (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (pow (log (+ 1.0 x)) 3) 3) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (log (+ 1.0 x)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) 1 (pow (log (+ 1.0 x)) 3) (pow (log (+ 1.0 x)) 2) (sqrt (pow (log (+ 1.0 x)) 3)) (sqrt (pow (log (+ 1.0 x)) 3)) (pow (log (+ 1.0 x)) 3/2) (pow (log (+ 1.0 x)) 3/2) (expm1 (log (+ 1.0 x))) (log1p (log (+ 1.0 x))) (log (log (+ 1.0 x))) (+ 1.0 x) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (cbrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) (cbrt (sqrt (pow (log (+ 1.0 x)) 3))) 1 (log (+ 1.0 x)) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (cbrt (* (log (+ 1.0 x)) (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 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (pow x 2)) (log (/ 1 x))))) (fma 1.0 (/ 1 x) (- (log -1) (fma 0.5 (/ 1 (pow x 2)) (log (/ -1 x))))) (fma (* 3.0 (pow x 2)) (log 1.0) (- (fma 3.0 (* x (pow (log 1.0) 2)) (pow (log 1.0) 3)) (* 3/2 (/ (* (pow x 2) (pow (log 1.0) 2)) (pow 1.0 2))))) (- (- (* 3.0 (/ (pow (log (/ 1 x)) 2) x)) (pow (log (/ 1 x)) 3)) (fma 3.0 (/ (log (/ 1 x)) (pow x 2)) (* 1.5 (/ (pow (log (/ 1 x)) 2) (pow x 2))))) (- (- (fma 3 (* (log -1) (pow (log (/ -1 x)) 2)) (fma 3.0 (/ (* (log -1) (log (/ -1 x))) (pow x 2)) (fma 3.0 (/ (pow (log (/ -1 x)) 2) x) (fma 3.0 (/ (pow (log -1) 2) x) (fma 3.0 (/ (log -1) (pow x 2)) (pow (log -1) 3)))))) (pow (log (/ -1 x)) 3)) (fma 3 (* (pow (log -1) 2) (log (/ -1 x))) (fma 6.0 (/ (* (log -1) (log (/ -1 x))) x) (fma 1.5 (/ (pow (log (/ -1 x)) 2) (pow x 2)) (fma 1.5 (/ (pow (log -1) 2) (pow x 2)) (* 3.0 (/ (log (/ -1 x)) (pow x 2)))))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (pow x 2)) (log (/ 1 x))))) (fma 1.0 (/ 1 x) (- (log -1) (fma 0.5 (/ 1 (pow x 2)) (log (/ -1 x))))) 1.198 * * * [progress]: adding candidates to table 1.326 * [progress]: [Phase 3 of 3] Extracting. 1.326 * * [regime]: Finding splitpoints for: (# # # #) 1.326 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.326 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # #) 1.342 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.354 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # #) 1.374 * * * * [regimes]: Trying to branch on x from (# # # #) 1.397 * * * [regime]: Found split indices: #