3.929 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.071 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.072 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.072 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.072 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.074 * * * * [pick]: Picked # 0.074 * * * [progress]: localizing error 0.077 * * * [progress]: generating rewritten candidates 0.077 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.080 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.093 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.121 * * * [progress]: simplifying candidates 0.121 * [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)))) 0.128 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.131 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.137 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.164 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.165 * [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)) 0.165 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.210 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.224 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.259 * [approximate]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.259 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.259 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.260 * [taylor]: Taking taylor expansion of 1/2 in x 0.260 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.261 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.261 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.261 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.261 * [taylor]: Taking taylor expansion of 1/2 in x 0.261 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [approximate]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in (x) around 0 0.271 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) in x 0.271 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.271 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.272 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.272 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [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 0.273 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.273 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.274 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.274 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.274 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [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 0.286 * [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 0.286 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.286 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (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 (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.287 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [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 0.288 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.288 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.288 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.288 * [taylor]: Taking taylor expansion of -1 in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.288 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (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 (/ 1 (* (pow x 2) (pow 1.0 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 0.305 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.305 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.305 * [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 0.321 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.337 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.337 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.337 * [taylor]: Taking taylor expansion of 1/2 in x 0.337 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.338 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (* (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (log (pow 1.0 2)))) (+ (log 1/2) (log (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow 1.0 2) (pow 1.0 2)) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))) (/ (pow x 2) (pow 1.0 2)))) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* 1/2 (sqrt (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1.0)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow (sqrt x) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow 1 2))) (* 1/2 (/ (pow (sqrt x) 2) 1.0)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow 1 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow 1 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow 1 2) (pow 1 2))) (* 1/2 (/ (pow 1 2) 1.0)) (* 1/2 (/ (pow 1 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow 1 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ (pow 1 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ x (pow (sqrt 1.0) 2))) (* 1/2 (/ x (pow 1 2))) (* 1/2 (/ x 1.0)) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ x (sqrt (pow 1.0 2)))) (* 1/2 (/ x 1)) (* 1/2 (/ x (pow 1.0 (/ 2 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (sqrt 1.0) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1.0)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (pow 1.0 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (sqrt (pow x 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow 1 2))) (* 1/2 (/ (sqrt (pow x 2)) 1.0)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (/ 1 (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow 1 2))) (* 1/2 (/ 1 1.0)) (* 1/2 (/ 1 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ 1 (sqrt (pow 1.0 2)))) (* 1/2 (/ 1 1)) (* 1/2 (/ 1 (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow x (/ 2 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow 1 2))) (* 1/2 (/ (pow x (/ 2 2)) 1.0)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (pow x 2)) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.362 * * [simplify]: iteration 0 : 560 enodes (cost 763 ) 0.371 * * [simplify]: iteration 1 : 2406 enodes (cost 633 ) 0.405 * * [simplify]: iteration 2 : 5001 enodes (cost 632 ) 0.409 * [simplify]: Simplified to: (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (pow (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 3) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) (fabs 1.0)) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) (fabs x)) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* x (sqrt 1/2)) (fabs 1.0)) (/ (* (sqrt 1/2) x) 1.0) (/ (* (sqrt 1/2) x) 1.0) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* (/ (fabs (/ x 1.0)) 1) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (fabs 1.0)) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) 1.0) (/ (* 1/2 x) (pow (* (cbrt 1.0) (cbrt 1.0)) 2)) (/ (* 1/2 x) 1.0) (* x 1/2) (/ (* 1/2 x) 1.0) (/ (* 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)) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (fma 1.0 x (- (log 1.0) (* 0.5 (pow x 2)))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) 0.409 * * * [progress]: adding candidates to table 0.699 * * [progress]: iteration 3 / 4 0.699 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.713 * * * [progress]: generating rewritten candidates 0.713 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.716 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.719 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.724 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.730 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.730 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.730 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.733 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.767 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.788 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.788 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.788 * [taylor]: Taking taylor expansion of 1.0 in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.790 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.790 * [taylor]: Taking taylor expansion of 1.0 in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.790 * [taylor]: Taking taylor expansion of x in x 0.810 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.810 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.810 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ 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 0.849 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.850 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.871 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.871 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.873 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.873 * [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 0.892 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.892 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.892 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.926 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.927 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.956 * * * [progress]: simplifying candidates 0.957 * [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)))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (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))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.961 * * [simplify]: iteration 0 : 187 enodes (cost 510 ) 0.964 * * [simplify]: iteration 1 : 521 enodes (cost 462 ) 0.973 * * [simplify]: iteration 2 : 1993 enodes (cost 440 ) 1.011 * * [simplify]: iteration 3 : 5002 enodes (cost 428 ) 1.014 * [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)))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (expm1 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (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 (pow x 2)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +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 (pow x 2)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 1.014 * * * [progress]: adding candidates to table 1.216 * * [progress]: iteration 4 / 4 1.216 * * * [progress]: picking best candidate 1.225 * * * * [pick]: Picked # 1.225 * * * [progress]: localizing error 1.238 * * * [progress]: generating rewritten candidates 1.238 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.241 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.244 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.249 * * * [progress]: generating series expansions 1.249 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.249 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.249 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.249 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.249 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.282 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.304 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.304 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.304 * [taylor]: Taking taylor expansion of 1.0 in x 1.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.331 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.331 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.331 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.332 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.372 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.372 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.372 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.374 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.397 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.397 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.407 * * * [progress]: simplifying candidates 1.408 * [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 (+ 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 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (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))))) (- (+ (* 1.0 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)))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.412 * * [simplify]: iteration 0 : 261 enodes (cost 353 ) 1.417 * * [simplify]: iteration 1 : 763 enodes (cost 320 ) 1.430 * * [simplify]: iteration 2 : 3137 enodes (cost 307 ) 1.498 * * [simplify]: iteration 3 : 5003 enodes (cost 299 ) 1.500 * [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 (+ 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 (sqrt (+ 1.0 x))) (log1p (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (pow (sqrt (+ 1.0 x)) 3) (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) 1 (sqrt (+ 1.0 x)) 1 (sqrt (+ 1.0 x)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (fma (- (/ 1/4 1.0)) (/ (pow x 2) 1.0) (fma (/ 1/2 1.0) x (log (sqrt 1.0)))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (pow x 2)) (/ +nan.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 1.0 (/ 1 x) (- (log -1) (fma 0.5 (/ 1 (pow x 2)) (log (/ -1 x))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 1.500 * * * [progress]: adding candidates to table 1.653 * [progress]: [Phase 3 of 3] Extracting. 1.653 * * [regime]: Finding splitpoints for: (# # # # # #) 1.654 * * * [regime-changes]: Trying 2 branch expressions: ((+ 1.0 x) x) 1.654 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # # #) 1.682 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.692 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.724 * * * [regime]: Found split indices: #