13.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.061 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.062 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.062 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.083 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.114 * * * [progress]: simplifying candidates 0.114 * [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)))) 0.117 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.120 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.126 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.154 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.155 * [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)) 0.155 * * * [progress]: adding candidates to table 0.193 * * [progress]: iteration 2 / 4 0.193 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 2) 0.243 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.251 * * * [progress]: generating series expansions 0.251 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 2) 0.252 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.252 * [taylor]: Taking taylor expansion of 1/2 in x 0.252 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.267 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.267 * [taylor]: Taking taylor expansion of 1/2 in x 0.267 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 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 0.289 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.305 * [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 0.305 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.305 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.305 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.306 * [taylor]: Taking taylor expansion of 1/2 in x 0.306 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.307 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.307 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.307 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [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 0.317 * [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 0.317 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.318 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.318 * [taylor]: Taking taylor expansion of 1/2 in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.318 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [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 0.319 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.319 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.320 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.320 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [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 0.332 * [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 0.332 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.332 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.332 * [taylor]: Taking taylor expansion of -1 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.333 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.333 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [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 0.334 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.334 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.335 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.335 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * * * [progress]: simplifying candidates 0.349 * [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)) (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)))))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 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))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.357 * * [simplify]: iteration 0 : 560 enodes (cost 763 ) 0.366 * * [simplify]: iteration 1 : 2406 enodes (cost 633 ) 0.402 * * [simplify]: iteration 2 : 5001 enodes (cost 632 ) 0.405 * [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)) (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)))))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 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)))) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) 0.406 * * * [progress]: adding candidates to table 0.708 * * [progress]: iteration 3 / 4 0.708 * * * [progress]: picking best candidate 0.714 * * * * [pick]: Picked # 0.714 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.723 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.725 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.729 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.754 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.754 * [taylor]: Taking taylor expansion of 1.0 in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.772 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.772 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.772 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.773 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.784 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.785 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.785 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.797 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.812 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.812 * [approximate]: Taking taylor expansion of (log (log (+ x 1.0))) in (x) around 0 0.812 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 0.812 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.812 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 0.813 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.813 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.813 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in (x) around 0 0.853 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 0.853 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 0.855 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 0.875 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.898 * * * [progress]: simplifying candidates 0.899 * [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 (exp (log (log (+ 1.0 x))))) (log1p (exp (log (log (+ 1.0 x))))) (exp 1) (exp (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (exp (sqrt (log (log (+ 1.0 x))))) (exp 1) (exp (log 1)) (exp (log (log (+ 1.0 x)))) (exp (log (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))))) (exp (log (cbrt (log (+ 1.0 x))))) (exp (log (sqrt (log (+ 1.0 x))))) (exp (log (sqrt (log (+ 1.0 x))))) (exp (log 1)) (exp (log (log (+ 1.0 x)))) (log (exp (log (log (+ 1.0 x))))) (exp (exp (log (log (+ 1.0 x))))) (* (cbrt (exp (log (log (+ 1.0 x))))) (cbrt (exp (log (log (+ 1.0 x)))))) (cbrt (exp (log (log (+ 1.0 x))))) (* (* (exp (log (log (+ 1.0 x)))) (exp (log (log (+ 1.0 x))))) (exp (log (log (+ 1.0 x))))) (sqrt (exp (log (log (+ 1.0 x))))) (sqrt (exp (log (log (+ 1.0 x))))) (expm1 (log (log (+ 1.0 x)))) (log1p (log (log (+ 1.0 x)))) (log 1) (log (log (+ 1.0 x))) (log (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))) (log (cbrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log 1) (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (log (+ 1.0 x)))) (exp (log (log (+ 1.0 x)))) (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x))))) (cbrt (log (log (+ 1.0 x)))) (* (* (log (log (+ 1.0 x))) (log (log (+ 1.0 x)))) (log (log (+ 1.0 x)))) (sqrt (log (log (+ 1.0 x)))) (sqrt (log (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)))) (- (+ (log (log 1.0)) (* 1.0 (/ x (log 1.0)))) (+ (* 1/2 (/ (pow x 2) (* (log 1.0) (pow 1.0 2)))) (* 0.5 (/ (pow x 2) (pow (log 1.0) 2))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (log (/ 1 x))))) (log (- (log (/ 1 x))))) (+ (* 1.0 (/ 1 (* x (log (/ 1 x))))) (* 0.5 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))) (- (+ (* 1.0 (/ 1 (* x (- (log -1) (log (/ -1 x)))))) (log (- (log -1) (log (/ -1 x))))) (+ (* 0.5 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (* 0.5 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))))) 0.903 * * [simplify]: iteration 0 : 285 enodes (cost 344 ) 0.908 * * [simplify]: iteration 1 : 905 enodes (cost 314 ) 0.922 * * [simplify]: iteration 2 : 3846 enodes (cost 293 ) 0.997 * * [simplify]: iteration 3 : 5001 enodes (cost 291 ) 1.000 * [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) (pow (exp 2) (log (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))) E (exp (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (exp (sqrt (log (log (+ 1.0 x))))) E 1 (log (+ 1.0 x)) (pow (exp 2) (log (cbrt (log (+ 1.0 x))))) (cbrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) 1 (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (pow (exp 2) (log (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 (log (+ 1.0 x)))) (log1p (log (log (+ 1.0 x)))) 0 (log (log (+ 1.0 x))) (* 2 (log (cbrt (log (+ 1.0 x))))) (log (cbrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) 0 (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (log (+ 1.0 x)))) (log (+ 1.0 x)) (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x))))) (cbrt (log (log (+ 1.0 x)))) (pow (log (log (+ 1.0 x))) 3) (sqrt (log (log (+ 1.0 x)))) (sqrt (log (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)) (- (* 1.0 (/ x (log 1.0))) (- (* (/ (pow x 2) (log 1.0)) (+ (/ 1/2 (pow 1.0 2)) (/ 0.5 (log 1.0)))) (log (log 1.0)))) (+ (- (* (/ 1 (log (/ 1 x))) (- (/ (/ 0.5 x) x) (/ 1.0 x))) (/ (/ 0.5 (pow (log (/ 1 x)) 2)) (pow x 2))) (log (- (log (/ 1 x))))) (+ (- (* (/ 1 (- (log -1) (log (/ -1 x)))) (* (/ 1 x) (- 1.0 (/ 0.5 x)))) (/ (/ 0.5 (pow (- (log -1) (log (/ -1 x))) 2)) (pow x 2))) (log (- (log -1) (log (/ -1 x))))) 1.000 * * * [progress]: adding candidates to table 1.127 * * [progress]: iteration 4 / 4 1.127 * * * [progress]: picking best candidate 1.134 * * * * [pick]: Picked # 1.134 * * * [progress]: localizing error 1.142 * * * [progress]: generating rewritten candidates 1.143 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.145 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.147 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.151 * * * [progress]: generating series expansions 1.151 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.151 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.151 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.152 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.168 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.168 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.196 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.197 * [approximate]: Taking taylor expansion of (pow E (log (log (+ x 1.0)))) in (x) around 0 1.197 * [taylor]: Taking taylor expansion of (pow E (log (log (+ x 1.0)))) in x 1.197 * [taylor]: Taking taylor expansion of (exp (* (log (log (+ x 1.0))) (log E))) in x 1.197 * [taylor]: Taking taylor expansion of (* (log (log (+ x 1.0))) (log E)) in x 1.197 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.197 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.197 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.198 * [taylor]: Taking taylor expansion of (log E) in x 1.198 * [taylor]: Taking taylor expansion of E in x 1.200 * [taylor]: Taking taylor expansion of (pow E (log (log (+ x 1.0)))) in x 1.200 * [taylor]: Taking taylor expansion of (exp (* (log (log (+ x 1.0))) (log E))) in x 1.200 * [taylor]: Taking taylor expansion of (* (log (log (+ x 1.0))) (log E)) in x 1.200 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.200 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.200 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (log E) in x 1.201 * [taylor]: Taking taylor expansion of E in x 1.268 * [approximate]: Taking taylor expansion of (pow E (log (log (+ (/ 1 x) 1.0)))) in (x) around 0 1.268 * [taylor]: Taking taylor expansion of (pow E (log (log (+ (/ 1 x) 1.0)))) in x 1.268 * [taylor]: Taking taylor expansion of (exp (* (log (log (+ (/ 1 x) 1.0))) (log E))) in x 1.268 * [taylor]: Taking taylor expansion of (* (log (log (+ (/ 1 x) 1.0))) (log E)) in x 1.268 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 1.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.268 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (log E) in x 1.270 * [taylor]: Taking taylor expansion of E in x 1.270 * [taylor]: Taking taylor expansion of (pow E (log (log (+ (/ 1 x) 1.0)))) in x 1.270 * [taylor]: Taking taylor expansion of (exp (* (log (log (+ (/ 1 x) 1.0))) (log E))) in x 1.270 * [taylor]: Taking taylor expansion of (* (log (log (+ (/ 1 x) 1.0))) (log E)) in x 1.270 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 1.270 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of (log E) in x 1.272 * [taylor]: Taking taylor expansion of E in x 1.290 * [approximate]: Taking taylor expansion of (pow E (log (log (- 1.0 (/ 1 x))))) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (pow E (log (log (- 1.0 (/ 1 x))))) in x 1.291 * [taylor]: Taking taylor expansion of (exp (* (log (log (- 1.0 (/ 1 x)))) (log E))) in x 1.291 * [taylor]: Taking taylor expansion of (* (log (log (- 1.0 (/ 1 x)))) (log E)) in x 1.291 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.291 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (log E) in x 1.293 * [taylor]: Taking taylor expansion of E in x 1.294 * [taylor]: Taking taylor expansion of (pow E (log (log (- 1.0 (/ 1 x))))) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* (log (log (- 1.0 (/ 1 x)))) (log E))) in x 1.294 * [taylor]: Taking taylor expansion of (* (log (log (- 1.0 (/ 1 x)))) (log E)) in x 1.294 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.294 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (log E) in x 1.296 * [taylor]: Taking taylor expansion of E in x 1.322 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.322 * [approximate]: Taking taylor expansion of (log (log (+ x 1.0))) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.322 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.322 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (log (log (+ x 1.0))) in x 1.323 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.323 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in (x) around 0 1.365 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 x) 1.0))) in x 1.365 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.365 * [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 (log (+ (/ 1 x) 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 1.384 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in (x) around 0 1.384 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.384 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 x)))) in x 1.386 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.386 * [taylor]: Taking taylor expansion of 1.0 in x 1.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.409 * * * [progress]: simplifying candidates 1.415 * [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 E (log (log (+ 1.0 x))))) (log1p (pow E (log (log (+ 1.0 x))))) (* 1 (log (log (+ 1.0 x)))) (* (log E) (log (log (+ 1.0 x)))) (* (log E) (log (log (+ 1.0 x)))) (* 1 (log (log (+ 1.0 x)))) (pow E 1) (pow E (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (pow E (sqrt (log (log (+ 1.0 x))))) (pow E 1) (pow E (log 1)) (pow E (log (log (+ 1.0 x)))) (pow E (log (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))))) (pow E (log (cbrt (log (+ 1.0 x))))) (pow E (log (sqrt (log (+ 1.0 x))))) (pow E (log (sqrt (log (+ 1.0 x))))) (pow E (log 1)) (pow E (log (log (+ 1.0 x)))) (pow (* (cbrt E) (cbrt E)) (log (log (+ 1.0 x)))) (pow (cbrt E) (log (log (+ 1.0 x)))) (pow (sqrt E) (log (log (+ 1.0 x)))) (pow (sqrt E) (log (log (+ 1.0 x)))) (pow 1 (log (log (+ 1.0 x)))) (pow E (log (log (+ 1.0 x)))) (log (pow E (log (log (+ 1.0 x))))) (exp (pow E (log (log (+ 1.0 x))))) (* (cbrt (pow E (log (log (+ 1.0 x))))) (cbrt (pow E (log (log (+ 1.0 x)))))) (cbrt (pow E (log (log (+ 1.0 x))))) (* (* (pow E (log (log (+ 1.0 x)))) (pow E (log (log (+ 1.0 x))))) (pow E (log (log (+ 1.0 x))))) (sqrt (pow E (log (log (+ 1.0 x))))) (sqrt (pow E (log (log (+ 1.0 x))))) (pow E (/ (log (log (+ 1.0 x))) 2)) (pow E (/ (log (log (+ 1.0 x))) 2)) (expm1 (log (log (+ 1.0 x)))) (log1p (log (log (+ 1.0 x)))) (log 1) (log (log (+ 1.0 x))) (log (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))) (log (cbrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log 1) (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (log (+ 1.0 x)))) (exp (log (log (+ 1.0 x)))) (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x))))) (cbrt (log (log (+ 1.0 x)))) (* (* (log (log (+ 1.0 x))) (log (log (+ 1.0 x)))) (log (log (+ 1.0 x)))) (sqrt (log (log (+ 1.0 x)))) (sqrt (log (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)))) (- (+ (log (log 1.0)) (* 1.0 (/ x (log 1.0)))) (+ (* 1/2 (/ (pow x 2) (* (log 1.0) (pow 1.0 2)))) (* 0.5 (/ (pow x 2) (pow (log 1.0) 2))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (log (/ 1 x))))) (log (- (log (/ 1 x))))) (+ (* 1.0 (/ 1 (* x (log (/ 1 x))))) (* 0.5 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))) (- (+ (* 1.0 (/ 1 (* x (- (log -1) (log (/ -1 x)))))) (log (- (log -1) (log (/ -1 x))))) (+ (* 0.5 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (* 0.5 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2)))))) 1.420 * * [simplify]: iteration 0 : 332 enodes (cost 428 ) 1.425 * * [simplify]: iteration 1 : 1192 enodes (cost 372 ) 1.445 * * [simplify]: iteration 2 : 5001 enodes (cost 353 ) 1.447 * [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))) (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) E (pow E (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x)))))) (pow E (sqrt (log (log (+ 1.0 x))))) E 1 (log (+ 1.0 x)) (pow E (* 2 (* 1 (/ (log (cbrt (log (+ 1.0 x)))) 1)))) (pow E (log (cbrt (log (+ 1.0 x))))) (pow E (log (sqrt (log (+ 1.0 x))))) (pow E (log (sqrt (log (+ 1.0 x))))) 1 (log (+ 1.0 x)) (pow (* (cbrt E) (cbrt E)) (log (log (+ 1.0 x)))) (pow (cbrt E) (log (log (+ 1.0 x)))) (pow (sqrt E) (log (log (+ 1.0 x)))) (pow (sqrt E) (log (log (+ 1.0 x)))) 1 (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))) (pow E (/ (log (log (+ 1.0 x))) 2)) (pow E (/ (log (log (+ 1.0 x))) 2)) (expm1 (log (log (+ 1.0 x)))) (log1p (log (log (+ 1.0 x)))) 0 (log (log (+ 1.0 x))) (* 2 (log (cbrt (log (+ 1.0 x))))) (log (cbrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) (log (sqrt (log (+ 1.0 x)))) 0 (log (log (+ 1.0 x))) (log (log (+ 1.0 x))) (log (log (log (+ 1.0 x)))) (log (+ 1.0 x)) (* (cbrt (log (log (+ 1.0 x)))) (cbrt (log (log (+ 1.0 x))))) (cbrt (log (log (+ 1.0 x)))) (pow (log (log (+ 1.0 x))) 3) (sqrt (log (log (+ 1.0 x)))) (sqrt (log (log (+ 1.0 x)))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (+ (- (/ 1.0 x) (/ (/ 0.5 x) x)) (log x)) (fma 1.0 (/ 1 x) (- (log -1) (fma 0.5 (/ 1 (pow x 2)) (log (/ -1 x))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (+ (- (/ 1.0 x) (/ (/ 0.5 x) x)) (log x)) (fma 1.0 (/ 1 x) (- (log -1) (fma 0.5 (/ 1 (pow x 2)) (log (/ -1 x))))) (- (* 1.0 (/ x (log 1.0))) (- (* (/ (pow x 2) (log 1.0)) (+ (/ 1/2 (pow 1.0 2)) (/ 0.5 (log 1.0)))) (log (log 1.0)))) (+ (log (- (log (/ 1 x)))) (+ (* (/ 1 (log (/ 1 x))) (- (/ (/ 0.5 x) x) (/ 1.0 x))) (/ (- 0.5) (* (pow x 2) (pow (log (/ 1 x)) 2))))) (+ (log (- (log -1) (log (/ -1 x)))) (+ (* (/ 1 (- (log -1) (log (/ -1 x)))) (* (/ 1 x) (- 1.0 (/ 0.5 x)))) (/ (- 0.5) (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))) 1.448 * * * [progress]: adding candidates to table 1.587 * [progress]: [Phase 3 of 3] Extracting. 1.587 * * [regime]: Finding splitpoints for: (# # # # #) 1.587 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.587 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # #) 1.606 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.615 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # # #) 1.641 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# #) 1.654 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.679 * * * [regime]: Found split indices: #