12.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying using # : (log (+ 1.0 x)) 0.063 * [simplify]: Sending expressions to egg_math: (log (+ h0 h1)) 0.065 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.066 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.066 * [simplify]: Simplified to: (log (+ 1.0 x)) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 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 0.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [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 0.120 * * * [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)))) 0.121 * [simplify]: Sending expressions to egg_math: (expm1 (log (+ h0 h1))) (log1p (log (+ h0 h1))) (log (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (log (cbrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (log 1) (log (+ h0 h1)) (log 1) (log (+ h0 h1)) (log (+ (pow h0 3) (pow h1 3))) (log (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (log (- (* h0 h0) (* h1 h1))) (log (- h0 h1)) (log (+ h0 h1)) (log (log (+ h0 h1))) (exp (log (+ h0 h1))) (* (cbrt (log (+ h0 h1))) (cbrt (log (+ h0 h1)))) (cbrt (log (+ h0 h1))) (* (* (log (+ h0 h1)) (log (+ h0 h1))) (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (sqrt (log (+ h0 h1))) (- (+ (* h0 h1) (log h0)) (* 1/2 (/ (pow h1 2) (pow h0 2)))) (- (* h0 (/ 1 h1)) (+ (* h2 (/ 1 (pow h1 2))) (log (/ 1 h1)))) (- (+ (log -1) (* h0 (/ 1 h1))) (+ (* h2 (/ 1 (pow h1 2))) (log (/ -1 h1)))) 0.124 * * [simplify]: iteration 0 : 131 enodes (cost 99 ) 0.126 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.132 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.159 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.160 * [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)) 0.160 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.216 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 2) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.262 * [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 0.262 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.262 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.262 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.262 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.263 * [taylor]: Taking taylor expansion of 1/2 in x 0.263 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.263 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.263 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.264 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [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 0.273 * [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 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.273 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.273 * [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 0.275 * [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 0.275 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.275 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.275 * [taylor]: Taking taylor expansion of 1/2 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.275 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.276 * [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 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.287 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.287 * [taylor]: Taking taylor expansion of 1/2 in x 0.287 * [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 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.289 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (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 (/ 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 0.299 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 2) 0.300 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.300 * [taylor]: Taking taylor expansion of 1/2 in x 0.300 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.301 * [taylor]: Taking taylor expansion of 1/2 in x 0.301 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.315 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.316 * [taylor]: Taking taylor expansion of 1/2 in x 0.316 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.336 * [taylor]: Taking taylor expansion of 1/2 in x 0.336 * [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 0.352 * * * [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)) 0.354 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (log1p (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (* h0 h1) (log (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (exp (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (* (cbrt (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (cbrt (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2))))))) (cbrt (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (* (* (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2))))) (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (sqrt (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (sqrt (fma h0 h1 (- (log h1) (* 1/2 (/ (pow h0 2) (pow h1 2)))))) (expm1 (* 1/2 (/ (pow h0 2) (pow h1 2)))) (log1p (* 1/2 (/ (pow h0 2) (pow h1 2)))) (* 1/2 (/ (pow h0 2) (pow h1 2))) (+ (log 1/2) (- (* (log h0) 2) (* (log h1) 2))) (+ (log 1/2) (- (* (log h0) 2) (* (log h1) 2))) (+ (log 1/2) (- (* (log h0) 2) (log (pow h1 2)))) (+ (log 1/2) (- (* (log h0) 2) (* (log h1) 2))) (+ (log 1/2) (- (* (log h0) 2) (* (log h1) 2))) (+ (log 1/2) (- (* (log h0) 2) (log (pow h1 2)))) (+ (log 1/2) (- (log (pow h0 2)) (* (log h1) 2))) (+ (log 1/2) (- (log (pow h0 2)) (* (log h1) 2))) (+ (log 1/2) (- (log (pow h0 2)) (log (pow h1 2)))) (+ (log 1/2) (log (/ (pow h0 2) (pow h1 2)))) (log (* 1/2 (/ (pow h0 2) (pow h1 2)))) (exp (* 1/2 (/ (pow h0 2) (pow h1 2)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow h0 2) (pow h0 2)) (pow h0 2)) (* (* (pow h1 2) (pow h1 2)) (pow h1 2)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow h0 2) (pow h1 2)) (/ (pow h0 2) (pow h1 2))) (/ (pow h0 2) (pow h1 2)))) (* (cbrt (* 1/2 (/ (pow h0 2) (pow h1 2)))) (cbrt (* 1/2 (/ (pow h0 2) (pow h1 2))))) (cbrt (* 1/2 (/ (pow h0 2) (pow h1 2)))) (* (* (* 1/2 (/ (pow h0 2) (pow h1 2))) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (* 1/2 (/ (pow h0 2) (pow h1 2)))) (sqrt (* 1/2 (/ (pow h0 2) (pow h1 2)))) (sqrt (* 1/2 (/ (pow h0 2) (pow h1 2)))) (* (sqrt 1/2) (sqrt (/ (pow h0 2) (pow h1 2)))) (* (sqrt 1/2) (sqrt (/ (pow h0 2) (pow h1 2)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) h1)) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) h1)) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ h0 (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ h0 (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ h0 (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ h0 (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ h0 (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) h1)) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) h1)) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (pow (sqrt h1) 2))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) h1)) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) h1)) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (pow h1 2)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (pow h1 (/ 2 2)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (pow h1 (/ 2 2)))) (* 1/2 (* (cbrt (/ (pow h0 2) (pow h1 2))) (cbrt (/ (pow h0 2) (pow h1 2))))) (* 1/2 (sqrt (/ (pow h0 2) (pow h1 2)))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (pow (sqrt h1) 2))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (pow 1 2))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) h1)) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (sqrt (pow h1 2)))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) 1)) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (pow h1 (/ 2 2)))) (* 1/2 (/ (pow (sqrt h0) 2) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (pow (sqrt h0) 2) (pow (sqrt h1) 2))) (* 1/2 (/ (pow (sqrt h0) 2) (pow 1 2))) (* 1/2 (/ (pow (sqrt h0) 2) h1)) (* 1/2 (/ (pow (sqrt h0) 2) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (pow (sqrt h0) 2) (sqrt (pow h1 2)))) (* 1/2 (/ (pow (sqrt h0) 2) 1)) (* 1/2 (/ (pow (sqrt h0) 2) (pow h1 (/ 2 2)))) (* 1/2 (/ (pow 1 2) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (pow 1 2) (pow (sqrt h1) 2))) (* 1/2 (/ (pow 1 2) (pow 1 2))) (* 1/2 (/ (pow 1 2) h1)) (* 1/2 (/ (pow 1 2) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (pow 1 2) (sqrt (pow h1 2)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ (pow 1 2) (pow h1 (/ 2 2)))) (* 1/2 (/ h0 (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ h0 (pow (sqrt h1) 2))) (* 1/2 (/ h0 (pow 1 2))) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ h0 (sqrt (pow h1 2)))) (* 1/2 (/ h0 1)) (* 1/2 (/ h0 (pow h1 (/ 2 2)))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (pow (sqrt h1) 2))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (pow 1 2))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) h1)) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (sqrt (pow h1 2)))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) 1)) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (pow h1 (/ 2 2)))) (* 1/2 (/ (sqrt (pow h0 2)) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (sqrt (pow h0 2)) (pow (sqrt h1) 2))) (* 1/2 (/ (sqrt (pow h0 2)) (pow 1 2))) (* 1/2 (/ (sqrt (pow h0 2)) h1)) (* 1/2 (/ (sqrt (pow h0 2)) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (sqrt (pow h0 2)) (sqrt (pow h1 2)))) (* 1/2 (/ (sqrt (pow h0 2)) 1)) (* 1/2 (/ (sqrt (pow h0 2)) (pow h1 (/ 2 2)))) (* 1/2 (/ 1 (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ 1 (pow (sqrt h1) 2))) (* 1/2 (/ 1 (pow 1 2))) (* 1/2 (/ 1 h1)) (* 1/2 (/ 1 (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ 1 (sqrt (pow h1 2)))) (* 1/2 (/ 1 1)) (* 1/2 (/ 1 (pow h1 (/ 2 2)))) (* 1/2 (/ (pow h0 (/ 2 2)) (pow (* (cbrt h1) (cbrt h1)) 2))) (* 1/2 (/ (pow h0 (/ 2 2)) (pow (sqrt h1) 2))) (* 1/2 (/ (pow h0 (/ 2 2)) (pow 1 2))) (* 1/2 (/ (pow h0 (/ 2 2)) h1)) (* 1/2 (/ (pow h0 (/ 2 2)) (* (cbrt (pow h1 2)) (cbrt (pow h1 2))))) (* 1/2 (/ (pow h0 (/ 2 2)) (sqrt (pow h1 2)))) (* 1/2 (/ (pow h0 (/ 2 2)) 1)) (* 1/2 (/ (pow h0 (/ 2 2)) (pow h1 (/ 2 2)))) (* 1/2 1) (* 1/2 (pow h0 2)) (* (cbrt 1/2) (/ (pow h0 2) (pow h1 2))) (* (sqrt 1/2) (/ (pow h0 2) (pow h1 2))) (* 1/2 (/ (pow h0 2) (pow h1 2))) (* 1/2 (pow h0 2)) (- (+ (* h1 h0) (log h1)) (* h2 (pow h0 2))) (- (+ (* h1 h0) (log h1)) (* h2 (pow h0 2))) (- (+ (* h1 h0) (log h1)) (* h2 (pow h0 2))) (* h2 (pow h0 2)) (* h2 (pow h0 2)) (* h2 (pow h0 2)) 0.361 * * [simplify]: iteration 0 : 560 enodes (cost 832 ) 0.371 * * [simplify]: iteration 1 : 2867 enodes (cost 631 ) 0.404 * * [simplify]: iteration 2 : 5002 enodes (cost 630 ) 0.407 * [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)))) (* 1/8 (pow (/ (pow x 2) (pow 1.0 2)) 3)) (* 1/8 (pow (/ (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)))) (* 1/8 (pow (/ (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) (/ (* (sqrt 1/2) x) (fabs 1.0)) (/ (* (sqrt 1/2) x) (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) (/ (* (sqrt 1/2) x) (fabs 1.0)) (/ (* (sqrt 1/2) x) (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) (/ (* (sqrt 1/2) x) (fabs 1.0)) (/ (* (sqrt 1/2) x) (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))))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 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) (* 1/2 x) (/ (* 1/2 x) 1.0) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* 1/2 x) (fabs 1.0)) (* 1/2 x) (/ (* 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 (fabs 1.0)) 1/2 (/ 1/2 1.0) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 x) 1.0) (* 1/2 x) (/ (* 1/2 x) 1.0) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* 1/2 x) (fabs 1.0)) (* 1/2 x) (/ (* 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 (fabs 1.0)) 1/2 (/ 1/2 1.0) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (/ (* 1/2 x) 1.0) (* 1/2 x) (/ (* 1/2 x) 1.0) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (/ (* 1/2 x) (fabs 1.0)) (* 1/2 x) (/ (* 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)) 0.408 * * * [progress]: adding candidates to table 0.701 * * [progress]: iteration 3 / 4 0.701 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.710 * * * [progress]: generating rewritten candidates 0.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.716 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.740 * * * [progress]: generating series expansions 0.740 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.741 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.741 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.743 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.743 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.772 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.792 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.792 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.792 * [taylor]: Taking taylor expansion of 1.0 in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.794 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of 1.0 in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.820 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.820 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.821 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.823 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 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 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 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 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of (sqrt (- 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 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.874 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.900 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.900 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.901 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.927 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.928 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.929 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [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 0.947 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [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))))) 0.957 * [simplify]: Sending expressions to egg_math: (expm1 (log (sqrt (+ h0 h1)))) (log1p (log (sqrt (+ h0 h1)))) (log (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (log (cbrt (sqrt (+ h0 h1)))) (log (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log 1) (log (sqrt (+ h0 h1))) (log (sqrt (+ (pow h0 3) (pow h1 3)))) (log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- h0 h1))) (log (+ h0 h1)) (log (sqrt (+ h0 h1))) (log (+ h0 h1)) (log (log (sqrt (+ h0 h1)))) (exp (log (sqrt (+ h0 h1)))) (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (* (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (expm1 (log (sqrt (+ h0 h1)))) (log1p (log (sqrt (+ h0 h1)))) (log (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (log (cbrt (sqrt (+ h0 h1)))) (log (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log 1) (log (sqrt (+ h0 h1))) (log (sqrt (+ (pow h0 3) (pow h1 3)))) (log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- h0 h1))) (log (+ h0 h1)) (log (sqrt (+ h0 h1))) (log (+ h0 h1)) (log (log (sqrt (+ h0 h1)))) (exp (log (sqrt (+ h0 h1)))) (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (* (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (* 1/2 (/ h1 (pow (sqrt h0) 2))) (log (sqrt h0))) (* 1/4 (/ (pow h1 2) (pow (sqrt h0) 4)))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (+ (* 1/2 (/ h1 (pow (sqrt h0) 2))) (log (sqrt h0))) (* 1/4 (/ (pow h1 2) (pow (sqrt h0) 4)))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) 0.961 * * [simplify]: iteration 0 : 187 enodes (cost 508 ) 0.965 * * [simplify]: iteration 1 : 531 enodes (cost 462 ) 0.973 * * [simplify]: iteration 2 : 2062 enodes (cost 442 ) 1.016 * * [simplify]: iteration 3 : 5002 enodes (cost 428 ) 1.019 * [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 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 (- (/ 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 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))) 1.019 * * * [progress]: adding candidates to table 1.219 * * [progress]: iteration 4 / 4 1.219 * * * [progress]: picking best candidate 1.223 * * * * [pick]: Picked # 1.223 * * * [progress]: localizing error 1.231 * * * [progress]: generating rewritten candidates 1.231 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.246 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.253 * * * [progress]: generating series expansions 1.253 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.253 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.253 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.253 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.253 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.255 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 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 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.311 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.313 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.313 * [taylor]: Taking taylor expansion of 1.0 in x 1.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.313 * [taylor]: Taking taylor expansion of x in x 1.331 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.331 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.332 * [taylor]: Taking taylor expansion of (sqrt (+ 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 1.334 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.334 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.363 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [taylor]: Taking taylor expansion of 1.0 in x 1.365 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.390 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.390 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.392 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.410 * [approximate]: Taking taylor expansion of (pow (log (sqrt (+ x 1.0))) 3) in (x) around 0 1.411 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ x 1.0))) 3) in x 1.411 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.411 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.413 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ x 1.0))) 3) in x 1.413 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.413 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [approximate]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 x) 1.0))) 3) in (x) around 0 1.499 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 x) 1.0))) 3) in x 1.499 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.501 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 x) 1.0))) 3) in x 1.501 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [approximate]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 x)))) 3) in (x) around 0 1.542 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 x)))) 3) in x 1.542 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (pow (log (sqrt (- 1.0 (/ 1 x)))) 3) in x 1.544 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.544 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.591 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.591 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.592 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.594 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.594 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.594 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of 1.0 in x 1.622 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.622 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.623 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.649 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.649 * [taylor]: Taking taylor expansion of 1.0 in x 1.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.670 * * * [progress]: simplifying candidates 1.672 * [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 (pow (log (sqrt (+ 1.0 x))) 3)) (log1p (pow (log (sqrt (+ 1.0 x))) 3)) (* (log (log (sqrt (+ 1.0 x)))) 3) (* (log (log (sqrt (+ 1.0 x)))) 3) (* 1 3) (pow (log (sqrt (+ 1.0 x))) (* (cbrt 3) (cbrt 3))) (pow (log (sqrt (+ 1.0 x))) (sqrt 3)) (pow (log (sqrt (+ 1.0 x))) 1) (pow 1/2 3) (pow (log (+ 1.0 x)) 3) (pow 1 3) (pow (log (sqrt (+ 1.0 x))) 3) (pow (/ 1 2) 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) 3) (pow (cbrt (log (sqrt (+ 1.0 x)))) 3) (pow (sqrt (log (sqrt (+ 1.0 x)))) 3) (pow (sqrt (log (sqrt (+ 1.0 x)))) 3) (pow 1 3) (pow (log (sqrt (+ 1.0 x))) 3) (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (pow (log (sqrt (+ 1.0 x))) 3)) (exp (pow (log (sqrt (+ 1.0 x))) 3)) (* (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (* (* (pow (log (sqrt (+ 1.0 x))) 3) (pow (log (sqrt (+ 1.0 x))) 3)) (pow (log (sqrt (+ 1.0 x))) 3)) (pow 1/2 3) (pow (log (+ 1.0 x)) 3) (pow 1 3) (pow (log (sqrt (+ 1.0 x))) 3) (pow (/ 1 2) 3) (pow (log (+ 1.0 x)) 3) (pow (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) 3) (pow (cbrt (log (sqrt (+ 1.0 x)))) 3) (pow (sqrt (log (sqrt (+ 1.0 x)))) 3) (pow (sqrt (log (sqrt (+ 1.0 x)))) 3) (pow 1 3) (pow (log (sqrt (+ 1.0 x))) 3) (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x)))) (sqrt (pow (log (sqrt (+ 1.0 x))) 3)) (sqrt (pow (log (sqrt (+ 1.0 x))) 3)) (pow (log (sqrt (+ 1.0 x))) (/ 3 2)) (pow (log (sqrt (+ 1.0 x))) (/ 3 2)) (expm1 (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (log1p (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (log (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (exp (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (pow 1/2 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (/ 1 2) 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) 3)) (cbrt (pow (cbrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (* (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)))) (cbrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (pow 1/2 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (/ 1 2) 3)) (cbrt (pow (log (+ 1.0 x)) 3)) (cbrt (pow (* (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (log (sqrt (+ 1.0 x))))) 3)) (cbrt (pow (cbrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ 1.0 x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (sqrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (sqrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt 1) (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) (/ 3 2))) (cbrt (pow (log (sqrt (+ 1.0 x))) (/ 3 2))) (* (cbrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3)))) (cbrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (* (* (cbrt (pow (log (sqrt (+ 1.0 x))) 3)) (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (sqrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (sqrt (cbrt (pow (log (sqrt (+ 1.0 x))) 3))) (- (+ (* 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))))) (- (+ (* 3/2 (/ (* (pow (log (sqrt 1.0)) 2) x) (pow (sqrt 1.0) 2))) (+ (* 3/4 (/ (* (log (sqrt 1.0)) (pow x 2)) (pow (sqrt 1.0) 4))) (pow (log (sqrt 1.0)) 3))) (* 3/4 (/ (* (pow (log (sqrt 1.0)) 2) (pow x 2)) (pow (sqrt 1.0) 4)))) (- (pow (log +nan.0) 3) (+ (* +nan.0 (/ (pow (log +nan.0) 2) x)) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow x 2))) (- (* +nan.0 (/ (log +nan.0) (pow x 2)))))))) (- (pow (log +nan.0) 3) (+ (* +nan.0 (/ (pow (log +nan.0) 2) x)) (- (+ (* +nan.0 (/ (pow (log +nan.0) 2) (pow x 2))) (- (* +nan.0 (/ (log +nan.0) (pow x 2)))))))) (- (+ (* 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))))) 1.672 * [simplify]: Sending expressions to egg_math: (expm1 (log (sqrt (+ h0 h1)))) (log1p (log (sqrt (+ h0 h1)))) (log (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (log (cbrt (sqrt (+ h0 h1)))) (log (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log 1) (log (sqrt (+ h0 h1))) (log (sqrt (+ (pow h0 3) (pow h1 3)))) (log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- h0 h1))) (log (+ h0 h1)) (log (sqrt (+ h0 h1))) (log (+ h0 h1)) (log (log (sqrt (+ h0 h1)))) (exp (log (sqrt (+ h0 h1)))) (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (* (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (expm1 (log (sqrt (+ h0 h1)))) (log1p (log (sqrt (+ h0 h1)))) (log (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (log (cbrt (sqrt (+ h0 h1)))) (log (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (log (sqrt (cbrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt 1)) (log (sqrt (+ h0 h1))) (log (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (log 1) (log (sqrt (+ h0 h1))) (log (sqrt (+ (pow h0 3) (pow h1 3)))) (log (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (log (sqrt (- (* h0 h0) (* h1 h1)))) (log (sqrt (- h0 h1))) (log (+ h0 h1)) (log (sqrt (+ h0 h1))) (log (+ h0 h1)) (log (log (sqrt (+ h0 h1)))) (exp (log (sqrt (+ h0 h1)))) (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (* (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (sqrt (log (sqrt (+ h0 h1)))) (expm1 (pow (log (sqrt (+ h0 h1))) 3)) (log1p (pow (log (sqrt (+ h0 h1))) 3)) (* (log (log (sqrt (+ h0 h1)))) 3) (* (log (log (sqrt (+ h0 h1)))) 3) (* 1 3) (pow (log (sqrt (+ h0 h1))) (* (cbrt 3) (cbrt 3))) (pow (log (sqrt (+ h0 h1))) (sqrt 3)) (pow (log (sqrt (+ h0 h1))) 1) (pow 1/2 3) (pow (log (+ h0 h1)) 3) (pow 1 3) (pow (log (sqrt (+ h0 h1))) 3) (pow (/ 1 2) 3) (pow (log (+ h0 h1)) 3) (pow (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) 3) (pow (cbrt (log (sqrt (+ h0 h1)))) 3) (pow (sqrt (log (sqrt (+ h0 h1)))) 3) (pow (sqrt (log (sqrt (+ h0 h1)))) 3) (pow 1 3) (pow (log (sqrt (+ h0 h1))) 3) (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (log (pow (log (sqrt (+ h0 h1))) 3)) (exp (pow (log (sqrt (+ h0 h1))) 3)) (* (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (* (* (pow (log (sqrt (+ h0 h1))) 3) (pow (log (sqrt (+ h0 h1))) 3)) (pow (log (sqrt (+ h0 h1))) 3)) (pow 1/2 3) (pow (log (+ h0 h1)) 3) (pow 1 3) (pow (log (sqrt (+ h0 h1))) 3) (pow (/ 1 2) 3) (pow (log (+ h0 h1)) 3) (pow (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) 3) (pow (cbrt (log (sqrt (+ h0 h1)))) 3) (pow (sqrt (log (sqrt (+ h0 h1)))) 3) (pow (sqrt (log (sqrt (+ h0 h1)))) 3) (pow 1 3) (pow (log (sqrt (+ h0 h1))) 3) (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1)))) (sqrt (pow (log (sqrt (+ h0 h1))) 3)) (sqrt (pow (log (sqrt (+ h0 h1))) 3)) (pow (log (sqrt (+ h0 h1))) (/ 3 2)) (pow (log (sqrt (+ h0 h1))) (/ 3 2)) (expm1 (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (log1p (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (log (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (exp (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (pow 1/2 3)) (cbrt (pow (log (+ h0 h1)) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (/ 1 2) 3)) (cbrt (pow (log (+ h0 h1)) 3)) (cbrt (pow (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) 3)) (cbrt (pow (cbrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))))) (cbrt (log (sqrt (+ h0 h1)))) (cbrt (* (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3)))) (cbrt (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (pow 1/2 3)) (cbrt (pow (log (+ h0 h1)) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (/ 1 2) 3)) (cbrt (pow (log (+ h0 h1)) 3)) (cbrt (pow (* (cbrt (log (sqrt (+ h0 h1)))) (cbrt (log (sqrt (+ h0 h1))))) 3)) (cbrt (pow (cbrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow (sqrt (log (sqrt (+ h0 h1)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (log (sqrt (+ h0 h1)))) (cbrt (* (log (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))))) (cbrt (sqrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (sqrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt 1) (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (log (sqrt (+ h0 h1))) (/ 3 2))) (cbrt (pow (log (sqrt (+ h0 h1))) (/ 3 2))) (* (cbrt (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (cbrt (pow (log (sqrt (+ h0 h1))) 3)))) (cbrt (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (* (* (cbrt (pow (log (sqrt (+ h0 h1))) 3)) (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (sqrt (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (sqrt (cbrt (pow (log (sqrt (+ h0 h1))) 3))) (- (+ (* 1/2 (/ h1 (pow (sqrt h0) 2))) (log (sqrt h0))) (* 1/4 (/ (pow h1 2) (pow (sqrt h0) 4)))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (+ (* 1/2 (/ h1 (pow (sqrt h0) 2))) (log (sqrt h0))) (* 1/4 (/ (pow h1 2) (pow (sqrt h0) 4)))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (+ (* 3/2 (/ (* (pow (log (sqrt h0)) 2) h1) (pow (sqrt h0) 2))) (+ (* 3/4 (/ (* (log (sqrt h0)) (pow h1 2)) (pow (sqrt h0) 4))) (pow (log (sqrt h0)) 3))) (* 3/4 (/ (* (pow (log (sqrt h0)) 2) (pow h1 2)) (pow (sqrt h0) 4)))) (- (pow (log h2) 3) (+ (* h2 (/ (pow (log h2) 2) h1)) (- (+ (* h2 (/ (pow (log h2) 2) (pow h1 2))) (- (* h2 (/ (log h2) (pow h1 2)))))))) (- (pow (log h2) 3) (+ (* h2 (/ (pow (log h2) 2) h1)) (- (+ (* h2 (/ (pow (log h2) 2) (pow h1 2))) (- (* h2 (/ (log h2) (pow h1 2)))))))) (- (+ (* 1/2 (/ h1 (pow (sqrt h0) 2))) (log (sqrt h0))) (* 1/4 (/ (pow h1 2) (pow (sqrt h0) 4)))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) (- (log h2) (+ (* h2 (/ 1 (pow h1 2))) (- (* h2 (/ 1 h1))))) 1.678 * * [simplify]: iteration 0 : 339 enodes (cost 726 ) 1.684 * * [simplify]: iteration 1 : 1245 enodes (cost 668 ) 1.709 * * [simplify]: iteration 2 : 5001 enodes (cost 633 ) 1.712 * [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))) (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))) (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 (pow (log (sqrt (+ 1.0 x))) 3)) (log1p (pow (log (sqrt (+ 1.0 x))) 3)) (log (pow (log (sqrt (+ 1.0 x))) 3)) (log (pow (log (sqrt (+ 1.0 x))) 3)) 3 (pow (log (sqrt (+ 1.0 x))) (* (cbrt 3) (cbrt 3))) (pow (log (sqrt (+ 1.0 x))) (sqrt 3)) (log (sqrt (+ 1.0 x))) 1/8 (pow (log (+ 1.0 x)) 3) 1 (pow (log (sqrt (+ 1.0 x))) 3) 1/8 (pow (log (+ 1.0 x)) 3) (pow (log (sqrt (+ 1.0 x))) 2) (log (sqrt (+ 1.0 x))) (pow (log (sqrt (+ 1.0 x))) 3/2) (pow (log (sqrt (+ 1.0 x))) 3/2) 1 (pow (log (sqrt (+ 1.0 x))) 3) (pow (log (sqrt (+ 1.0 x))) 2) (log (pow (log (sqrt (+ 1.0 x))) 3)) (exp (pow (log (sqrt (+ 1.0 x))) 3)) (pow (log (sqrt (+ 1.0 x))) 2) (log (sqrt (+ 1.0 x))) (pow (pow (log (sqrt (+ 1.0 x))) 3) 3) 1/8 (pow (log (+ 1.0 x)) 3) 1 (pow (log (sqrt (+ 1.0 x))) 3) 1/8 (pow (log (+ 1.0 x)) 3) (pow (log (sqrt (+ 1.0 x))) 2) (log (sqrt (+ 1.0 x))) (pow (log (sqrt (+ 1.0 x))) 3/2) (pow (log (sqrt (+ 1.0 x))) 3/2) 1 (pow (log (sqrt (+ 1.0 x))) 3) (pow (log (sqrt (+ 1.0 x))) 2) (sqrt (pow (log (sqrt (+ 1.0 x))) 3)) (sqrt (pow (log (sqrt (+ 1.0 x))) 3)) (pow (log (sqrt (+ 1.0 x))) 3/2) (pow (log (sqrt (+ 1.0 x))) 3/2) (expm1 (log (sqrt (+ 1.0 x)))) (log1p (log (sqrt (+ 1.0 x)))) (log (log (sqrt (+ 1.0 x)))) (sqrt (+ 1.0 x)) 1/2 (log (+ 1.0 x)) 1 (log (sqrt (+ 1.0 x))) 1/2 (log (+ 1.0 x)) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) 1 (log (sqrt (+ 1.0 x))) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) 1/2 (log (+ 1.0 x)) 1 (log (sqrt (+ 1.0 x))) 1/2 (log (+ 1.0 x)) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) 1 (log (sqrt (+ 1.0 x))) (cbrt (log (sqrt (+ 1.0 x)))) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (sqrt (pow (log (sqrt (+ 1.0 x))) 3))) (cbrt (sqrt (pow (log (sqrt (+ 1.0 x))) 3))) 1 (log (sqrt (+ 1.0 x))) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (cbrt (* (log (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))))) (cbrt (log (sqrt (+ 1.0 x)))) (pow (log (sqrt (+ 1.0 x))) 3) (sqrt (log (sqrt (+ 1.0 x)))) (sqrt (log (sqrt (+ 1.0 x)))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) (+ (fma 3/2 (/ x (/ 1.0 (pow (log (sqrt 1.0)) 2))) (pow (log (sqrt 1.0)) 3)) (* (/ 3/4 1.0) (- (/ (* (log (sqrt 1.0)) (pow x 2)) 1.0) (/ (* (pow (log (sqrt 1.0)) 2) (pow x 2)) 1.0)))) (- (- (pow (log +nan.0) 3) (* (/ (pow (log +nan.0) 2) x) (- +nan.0 (/ +nan.0 x)))) (* +nan.0 (/ (log +nan.0) (pow x 2)))) (- (- (pow (log +nan.0) 3) (* (/ (pow (log +nan.0) 2) x) (- +nan.0 (/ +nan.0 x)))) (* +nan.0 (/ (log +nan.0) (pow x 2)))) (fma (- 1/4) (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) (- (log +nan.0) (* (/ 1 x) (- (/ +nan.0 x) +nan.0))) 1.713 * * * [progress]: adding candidates to table 1.933 * [progress]: [Phase 3 of 3] Extracting. 1.934 * * [regime]: Finding splitpoints for: (# # # #) 1.934 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 1.934 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # #) 1.953 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # #) 1.964 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # # #) 1.983 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# #) 1.998 * * * * [regimes]: Trying to branch on x from (# # # #) 2.018 * * * [regime]: Found split indices: #