5.732 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying: (log (+ 1.0 x)) 0.061 * [simplify]: Sending expressions to egg_math: (log (+ h0 h1)) 0.063 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.065 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.065 * * [progress]: iteration 1 / 4 0.065 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.075 * [backup-simplify]: Simplify (log (+ 1.0 x)) into (log (+ x 1.0)) 0.075 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.076 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.076 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.076 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.077 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.077 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.091 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.092 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow x 2)) (+ (* 1.0 x) (log 1.0))) into (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 0.092 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 x))) into (log (+ (/ 1 x) 1.0)) 0.092 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (log 1) into 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 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (log 1) into 0 0.094 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.094 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.098 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.105 * [backup-simplify]: Simplify -0.5 into -0.5 0.105 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (- (log (/ 1 x))))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) 0.105 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- x)))) into (log (- 1.0 (/ 1 x))) 0.105 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [backup-simplify]: Simplify 1.0 into 1.0 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.106 * [backup-simplify]: Simplify (log -1) into (log -1) 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 * [backup-simplify]: Simplify 1.0 into 1.0 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.107 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.107 * [backup-simplify]: Simplify (log -1) into (log -1) 0.108 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.108 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.113 * [backup-simplify]: Simplify -1.0 into -1.0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.120 * [backup-simplify]: Simplify -0.5 into -0.5 0.120 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- x)) 2)) (+ (* -1.0 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 0.120 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying: (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 ) 0.127 * * [simplify]: iteration 1 : 363 enodes (cost 89 ) 0.132 * * [simplify]: iteration 2 : 1292 enodes (cost 86 ) 0.158 * * [simplify]: iteration 3 : 5002 enodes (cost 81 ) 0.159 * * * [progress]: adding candidates to table 0.199 * * [progress]: iteration 2 / 4 0.199 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 2) 0.255 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 2) 0.263 * [backup-simplify]: Simplify (* 1/2 (/ (pow x 2) (pow 1.0 2))) into (* 1/2 (/ (pow x 2) (pow 1.0 2))) 0.263 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in (x) around 0 0.263 * [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 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.264 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 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 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.265 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.265 * [backup-simplify]: Simplify (* 1/2 1.0) into 0.5 0.265 * [backup-simplify]: Simplify 0.5 into 0.5 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1.0)) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1.0))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (* 0.5 (pow x 2)) into (* 0.5 (pow x 2)) 0.280 * [backup-simplify]: Simplify (* 1/2 (/ (pow (/ 1 x) 2) (pow 1.0 2))) into (/ 1/2 (* (pow x 2) (pow 1.0 2))) 0.280 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.280 * [taylor]: Taking taylor expansion of 1/2 in x 0.280 * [backup-simplify]: Simplify 1/2 into 1/2 0.280 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.281 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.281 * [backup-simplify]: Simplify (/ 1/2 1.0) into 0.5 0.281 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.281 * [taylor]: Taking taylor expansion of 1/2 in x 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.282 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.282 * [backup-simplify]: Simplify (/ 1/2 1.0) into 0.5 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.283 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1.0)) into 0 0.284 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1.0))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.296 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (/ 1 x)) 2)) into (* 0.5 (pow x 2)) 0.297 * [backup-simplify]: Simplify (* 1/2 (/ (pow (/ 1 (- x)) 2) (pow 1.0 2))) into (/ 1/2 (* (pow x 2) (pow 1.0 2))) 0.297 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in (x) around 0 0.297 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.298 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.298 * [backup-simplify]: Simplify (/ 1/2 1.0) into 0.5 0.298 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (pow 1.0 2))) in x 0.298 * [taylor]: Taking taylor expansion of 1/2 in x 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.299 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.299 * [backup-simplify]: Simplify (/ 1/2 1.0) into 0.5 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.300 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1.0)) into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1.0))) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 0.308 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 0.314 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (/ 1 (- x))) 2)) into (* 0.5 (pow x 2)) 0.314 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.315 * [backup-simplify]: Simplify (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) into (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.315 * [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 0.315 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.315 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.315 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.315 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 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 * [backup-simplify]: Simplify 1/2 into 1/2 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 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.316 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.316 * [taylor]: Taking taylor expansion of (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) in x 0.316 * [taylor]: Rewrote expression to (+ (* x 1.0) (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) 0.316 * [taylor]: Taking taylor expansion of (* x 1.0) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) in x 0.316 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (pow 1.0 2))) in x 0.317 * [taylor]: Taking taylor expansion of 1/2 in x 0.317 * [backup-simplify]: Simplify 1/2 into 1/2 0.317 * [taylor]: Taking taylor expansion of (/ (pow x 2) (pow 1.0 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.318 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.318 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.318 * [backup-simplify]: Simplify (+ (log 1.0) 0) into (log 1.0) 0.319 * [backup-simplify]: Simplify (+ 0 (log 1.0)) into (log 1.0) 0.319 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1.0)) into 1.0 0.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1.0))) into 0 0.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0 0.324 * [backup-simplify]: Simplify (* 1/2 1.0) into 0.5 0.324 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.325 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.325 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.325 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.326 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow x 2)) (+ (* 1.0 x) (log 1.0))) into (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.327 * [backup-simplify]: Simplify (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ (pow (/ 1 x) 2) (pow 1.0 2))))) into (fma (/ 1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.327 * [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 0.327 * [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 0.327 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.327 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.327 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.328 * [backup-simplify]: Simplify 1/2 into 1/2 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.328 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.328 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.329 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.329 * [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 0.329 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 x) 1.0) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.329 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.329 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [backup-simplify]: Simplify 1/2 into 1/2 0.330 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.330 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.336 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (* 1/2 1.0) into 0.5 0.337 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.338 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.338 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.339 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.339 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1.0)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1.0)) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1.0)) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1.0))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1.0))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ (log 1.0) 0) into (log 1.0) 0.346 * [backup-simplify]: Simplify (+ 0 (log 1.0)) into (log 1.0) 0.346 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.347 * [backup-simplify]: Simplify (+ (log 1.0) (+ (* 1.0 (/ 1 (/ 1 x))) (* (- 0.5) (pow (/ 1 (/ 1 x)) 2)))) into (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.348 * [backup-simplify]: Simplify (fma (/ 1 (- x)) 1.0 (- (log 1.0) (* 1/2 (/ (pow (/ 1 (- x)) 2) (pow 1.0 2))))) into (fma (/ -1 x) 1.0 (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.348 * [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 0.348 * [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 0.348 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.348 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [backup-simplify]: Simplify -1 into -1 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (/ -1 1) into -1 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.349 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.349 * [taylor]: Taking taylor expansion of 1/2 in x 0.349 * [backup-simplify]: Simplify 1/2 into 1/2 0.349 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.349 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.350 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.350 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.350 * [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 0.350 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 1.0) (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))))) 0.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ -1 1) into -1 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [taylor]: Taking taylor expansion of (- (log 1.0) (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2))))) in x 0.351 * [taylor]: Taking taylor expansion of (log 1.0) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow 1.0 2)))) in x 0.351 * [taylor]: Taking taylor expansion of 1/2 in x 0.351 * [backup-simplify]: Simplify 1/2 into 1/2 0.351 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow 1.0 2))) in x 0.351 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow 1.0 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of (pow 1.0 2) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.352 * [backup-simplify]: Simplify (* 1 1.0) into 1.0 0.352 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.352 * [backup-simplify]: Simplify (* 1/2 1.0) into 0.5 0.353 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.353 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.354 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.354 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.354 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 0.354 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1.0)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1.0)) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.357 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1.0)) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1.0))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* 0 (/ 0 1.0)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1.0))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify (+ (log 1.0) 0) into (log 1.0) 0.362 * [backup-simplify]: Simplify (+ 0 (log 1.0)) into (log 1.0) 0.362 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.363 * [backup-simplify]: Simplify (+ (log 1.0) (+ (* (- 1.0) (/ 1 (/ 1 (- x)))) (* (- 0.5) (pow (/ 1 (/ 1 (- x))) 2)))) into (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.363 * * * [progress]: simplifying candidates 0.365 * [simplify]: Simplifying: (expm1 (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (log1p (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (* (log 1.0) 2))) (+ (log 1/2) (- (* (log x) 2) (log (pow 1.0 2)))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (* (log 1.0) 2))) (+ (log 1/2) (- (log (pow x 2)) (log (pow 1.0 2)))) (+ (log 1/2) (log (/ (pow x 2) (pow 1.0 2)))) (log (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (pow 1.0 2) (pow 1.0 2)) (pow 1.0 2)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (pow 1.0 2)) (/ (pow x 2) (pow 1.0 2))) (/ (pow x 2) (pow 1.0 2)))) (* (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (cbrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) 1.0)) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x 1.0)) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ x (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) 1.0)) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) 1.0)) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (* (cbrt (/ (pow x 2) (pow 1.0 2))) (cbrt (/ (pow x 2) (pow 1.0 2))))) (* 1/2 (sqrt (/ (pow x 2) (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1 2))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1.0)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow (sqrt x) 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow (sqrt x) 2) (pow 1 2))) (* 1/2 (/ (pow (sqrt x) 2) 1.0)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow 1 2) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow 1 2) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow 1 2) (pow 1 2))) (* 1/2 (/ (pow 1 2) 1.0)) (* 1/2 (/ (pow 1 2) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow 1 2) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ (pow 1 2) (pow 1.0 (/ 2 2)))) (* 1/2 (/ x (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ x (pow (sqrt 1.0) 2))) (* 1/2 (/ x (pow 1 2))) (* 1/2 (/ x 1.0)) (* 1/2 (/ x (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ x (sqrt (pow 1.0 2)))) (* 1/2 (/ x 1)) (* 1/2 (/ x (pow 1.0 (/ 2 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow (sqrt 1.0) 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1 2))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1.0)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (pow 1.0 2)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (pow 1.0 (/ 2 2)))) (* 1/2 (/ (sqrt (pow x 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (sqrt (pow x 2)) (pow 1 2))) (* 1/2 (/ (sqrt (pow x 2)) 1.0)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ (sqrt (pow x 2)) (pow 1.0 (/ 2 2)))) (* 1/2 (/ 1 (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow 1 2))) (* 1/2 (/ 1 1.0)) (* 1/2 (/ 1 (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ 1 (sqrt (pow 1.0 2)))) (* 1/2 (/ 1 1)) (* 1/2 (/ 1 (pow 1.0 (/ 2 2)))) (* 1/2 (/ (pow x (/ 2 2)) (pow (* (cbrt 1.0) (cbrt 1.0)) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x (/ 2 2)) (pow 1 2))) (* 1/2 (/ (pow x (/ 2 2)) 1.0)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (pow 1.0 2)) (cbrt (pow 1.0 2))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (pow 1.0 2)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 (/ (pow x (/ 2 2)) (pow 1.0 (/ 2 2)))) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* (sqrt 1/2) (/ (pow x 2) (pow 1.0 2))) (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1/2 (pow x 2)) (expm1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (log1p (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* x 1.0) (log (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (exp (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))) (cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* (* (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (sqrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (* 0.5 (pow x 2)) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))) 0.365 * [simplify]: Sending expressions to egg_math: (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 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(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)) (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)))))) (* h2 (pow h0 2)) (* h2 (pow h0 2)) (* h2 (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))) 0.372 * * [simplify]: iteration 0 : 560 enodes (cost 832 ) 0.383 * * [simplify]: iteration 1 : 2867 enodes (cost 631 ) 0.415 * * [simplify]: iteration 2 : 5001 enodes (cost 630 ) 0.419 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.700 * * * * [pick]: Picked # 0.700 * * * [progress]: localizing error 0.706 * * * [progress]: generating rewritten candidates 0.706 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.712 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.728 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.737 * * * [progress]: generating series expansions 0.737 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.738 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 x))) into (log (sqrt (+ x 1.0))) 0.738 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.738 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [backup-simplify]: Simplify 1.0 into 1.0 0.738 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.739 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.739 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.740 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.740 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.740 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [backup-simplify]: Simplify 1.0 into 1.0 0.741 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.741 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.741 * [backup-simplify]: Simplify (+ 1 0) into 1 0.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.743 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.743 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.750 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.771 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.774 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow x 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) x) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) 0.774 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 x)))) into (log (sqrt (+ (/ 1 x) 1.0))) 0.774 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 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 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [backup-simplify]: Simplify 1.0 into 1.0 0.774 * [backup-simplify]: Simplify (+ 1 0) into 1 0.775 * [backup-simplify]: Simplify (sqrt 0) into 0 0.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.776 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.776 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [backup-simplify]: Simplify 1.0 into 1.0 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (sqrt 0) into 0 0.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.778 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.778 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.780 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.784 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.795 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 0.795 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 (- x))))) into (log (sqrt (- 1.0 (/ 1 x)))) 0.795 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [backup-simplify]: Simplify 1.0 into 1.0 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [backup-simplify]: Simplify (- 1) into -1 0.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.796 * [backup-simplify]: Simplify (sqrt 0) into 0 0.797 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.797 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.797 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [backup-simplify]: Simplify 1.0 into 1.0 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (- 1) into -1 0.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.798 * [backup-simplify]: Simplify (sqrt 0) into 0 0.799 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.799 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.799 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.810 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.814 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (- 0) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.824 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.824 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.825 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 0.825 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.825 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 x))) into (log (sqrt (+ x 1.0))) 0.825 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.825 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.825 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of 1.0 in x 0.825 * [backup-simplify]: Simplify 1.0 into 1.0 0.825 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.826 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.827 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.827 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.827 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [backup-simplify]: Simplify 1.0 into 1.0 0.828 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.828 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.830 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.830 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 0.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.837 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.854 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 0.857 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow x 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) x) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) 0.857 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 x)))) into (log (sqrt (+ (/ 1 x) 1.0))) 0.857 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [backup-simplify]: Simplify 1.0 into 1.0 0.858 * [backup-simplify]: Simplify (+ 1 0) into 1 0.858 * [backup-simplify]: Simplify (sqrt 0) into 0 0.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.859 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.859 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [backup-simplify]: Simplify 1.0 into 1.0 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (sqrt 0) into 0 0.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.861 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.861 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.863 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.867 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.877 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.877 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.878 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 0.878 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 (- x))))) into (log (sqrt (- 1.0 (/ 1 x)))) 0.878 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.878 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.878 * [taylor]: Taking taylor expansion of 1.0 in x 0.878 * [backup-simplify]: Simplify 1.0 into 1.0 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (- 1) into -1 0.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.879 * [backup-simplify]: Simplify (sqrt 0) into 0 0.880 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.880 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.880 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.880 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [backup-simplify]: Simplify 1.0 into 1.0 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [backup-simplify]: Simplify (- 1) into -1 0.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.881 * [backup-simplify]: Simplify (sqrt 0) into 0 0.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.882 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.882 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- 0) into 0 0.883 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.885 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 0.889 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- 0) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 0.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.906 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 0.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.906 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 0.906 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.906 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [backup-simplify]: Simplify 1.0 into 1.0 0.907 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.907 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.907 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.908 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [backup-simplify]: Simplify 1.0 into 1.0 0.908 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.909 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.910 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.911 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.915 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.917 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.917 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 0.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ 1 1) into 1 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [backup-simplify]: Simplify 1.0 into 1.0 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.918 * [backup-simplify]: Simplify (sqrt 0) into 0 0.918 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (/ 1 1) into 1 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [backup-simplify]: Simplify (+ 1 0) into 1 0.919 * [backup-simplify]: Simplify (sqrt 0) into 0 0.920 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.922 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.922 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.925 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.925 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 0.925 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [backup-simplify]: Simplify 1.0 into 1.0 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (/ 1 1) into 1 0.926 * [backup-simplify]: Simplify (- 1) into -1 0.926 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.926 * [backup-simplify]: Simplify (sqrt 0) into 0 0.927 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.927 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [backup-simplify]: Simplify 1.0 into 1.0 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [backup-simplify]: Simplify (- 1) into -1 0.928 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.928 * [backup-simplify]: Simplify (sqrt 0) into 0 0.929 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.930 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.932 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.932 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.935 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.935 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.935 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.935 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 0.935 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.935 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [backup-simplify]: Simplify 1.0 into 1.0 0.935 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.936 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.937 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [backup-simplify]: Simplify 1.0 into 1.0 0.937 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.937 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.938 * [backup-simplify]: Simplify (+ 1 0) into 1 0.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.939 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.940 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.944 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.946 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.946 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 0.946 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [backup-simplify]: Simplify 1.0 into 1.0 0.946 * [backup-simplify]: Simplify (+ 1 0) into 1 0.947 * [backup-simplify]: Simplify (sqrt 0) into 0 0.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [backup-simplify]: Simplify 1.0 into 1.0 0.948 * [backup-simplify]: Simplify (+ 1 0) into 1 0.948 * [backup-simplify]: Simplify (sqrt 0) into 0 0.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.952 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.955 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.955 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 0.955 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [backup-simplify]: Simplify 1.0 into 1.0 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.956 * [backup-simplify]: Simplify (- 1) into -1 0.956 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.956 * [backup-simplify]: Simplify (sqrt 0) into 0 0.957 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.957 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [backup-simplify]: Simplify 1.0 into 1.0 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [backup-simplify]: Simplify (- 1) into -1 0.958 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.958 * [backup-simplify]: Simplify (sqrt 0) into 0 0.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.962 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.962 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.965 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.965 * * * [progress]: simplifying candidates 0.966 * [simplify]: Simplifying: (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))))) 0.967 * [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))))) 0.970 * * [simplify]: iteration 0 : 187 enodes (cost 508 ) 0.974 * * [simplify]: iteration 1 : 531 enodes (cost 462 ) 0.983 * * [simplify]: iteration 2 : 2062 enodes (cost 442 ) 1.026 * * [simplify]: iteration 3 : 5002 enodes (cost 428 ) 1.028 * * * [progress]: adding candidates to table 1.229 * * [progress]: iteration 4 / 4 1.229 * * * [progress]: picking best candidate 1.235 * * * * [pick]: Picked # 1.235 * * * [progress]: localizing error 1.243 * * * [progress]: generating rewritten candidates 1.243 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.249 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 1.253 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.262 * * * [progress]: generating series expansions 1.262 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.262 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 x))) into (log (sqrt (+ x 1.0))) 1.262 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.262 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [backup-simplify]: Simplify 1.0 into 1.0 1.263 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.263 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.263 * [backup-simplify]: Simplify (+ 1 0) into 1 1.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.265 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.265 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.265 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [backup-simplify]: Simplify 1.0 into 1.0 1.265 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.265 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.265 * [backup-simplify]: Simplify (+ 1 0) into 1 1.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.267 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.267 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 1.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 1)) (pow (sqrt 1.0) 1)))) 1) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.274 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 1.274 * [backup-simplify]: Simplify (+ 0 0) into 0 1.278 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1/2 (sqrt 1.0))) 2)) (pow (sqrt 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 (/ -1/8 (pow (sqrt 1.0) 3))) 1)) (pow (sqrt 1.0) 1)))) 2) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.292 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 1.295 * [backup-simplify]: Simplify (+ (* (/ -1/4 (pow (sqrt 1.0) 4)) (pow x 2)) (+ (* (/ 1/2 (pow (sqrt 1.0) 2)) x) (log (sqrt 1.0)))) into (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) 1.295 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 x)))) into (log (sqrt (+ (/ 1 x) 1.0))) 1.295 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.295 * [taylor]: Taking taylor expansion of x in x 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ 1 1) into 1 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [backup-simplify]: Simplify 1.0 into 1.0 1.296 * [backup-simplify]: Simplify (+ 1 0) into 1 1.296 * [backup-simplify]: Simplify (sqrt 0) into 0 1.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.297 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.297 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.298 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [backup-simplify]: Simplify 1.0 into 1.0 1.298 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (sqrt 0) into 0 1.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.305 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.305 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.307 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.311 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.322 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 1.322 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 (- x))))) into (log (sqrt (- 1.0 (/ 1 x)))) 1.322 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [backup-simplify]: Simplify 1.0 into 1.0 1.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.322 * [backup-simplify]: Simplify (/ 1 1) into 1 1.322 * [backup-simplify]: Simplify (- 1) into -1 1.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.323 * [backup-simplify]: Simplify (sqrt 0) into 0 1.324 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.324 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.324 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 1.324 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [backup-simplify]: Simplify 1.0 into 1.0 1.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [backup-simplify]: Simplify (- 1) into -1 1.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.325 * [backup-simplify]: Simplify (sqrt 0) into 0 1.326 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.326 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.326 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (- 0) into 0 1.327 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.329 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.343 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.344 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))) 1.344 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 1.344 * [backup-simplify]: Simplify (log (+ 1.0 x)) into (log (+ x 1.0)) 1.344 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.344 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [backup-simplify]: Simplify 1.0 into 1.0 1.344 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.345 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.345 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.345 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [backup-simplify]: Simplify 1.0 into 1.0 1.345 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.345 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.346 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.346 * [backup-simplify]: Simplify (+ 1 0) into 1 1.349 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.349 * [backup-simplify]: Simplify 1.0 into 1.0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.355 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 1.356 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow x 2)) (+ (* 1.0 x) (log 1.0))) into (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 1.356 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 x))) into (log (+ (/ 1 x) 1.0)) 1.356 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [backup-simplify]: Simplify 1.0 into 1.0 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.357 * [backup-simplify]: Simplify (log 1) into 0 1.357 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [backup-simplify]: Simplify 1.0 into 1.0 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (log 1) into 0 1.358 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.358 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.362 * [backup-simplify]: Simplify 1.0 into 1.0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.369 * [backup-simplify]: Simplify -0.5 into -0.5 1.369 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (- (log (/ 1 x))))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ 1 x)))) 1.370 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- x)))) into (log (- 1.0 (/ 1 x))) 1.370 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 1.370 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of 1.0 in x 1.370 * [backup-simplify]: Simplify 1.0 into 1.0 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [backup-simplify]: Simplify (- 1) into -1 1.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.371 * [backup-simplify]: Simplify (log -1) into (log -1) 1.371 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.371 * [taylor]: Taking taylor expansion of 1.0 in x 1.371 * [backup-simplify]: Simplify 1.0 into 1.0 1.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.371 * [taylor]: Taking taylor expansion of x in x 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (- 1) into -1 1.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.372 * [backup-simplify]: Simplify (log -1) into (log -1) 1.372 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.373 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.377 * [backup-simplify]: Simplify -1.0 into -1.0 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.384 * [backup-simplify]: Simplify -0.5 into -0.5 1.385 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- x)) 2)) (+ (* -1.0 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (log -1) (* 1.0 (/ 1 x))) (+ (* 0.5 (/ 1 (pow x 2))) (log (/ -1 x)))) 1.385 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.385 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 1.385 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.385 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [backup-simplify]: Simplify 1.0 into 1.0 1.385 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.386 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.386 * [backup-simplify]: Simplify (+ 1 0) into 1 1.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.387 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [backup-simplify]: Simplify 1.0 into 1.0 1.387 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.387 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.388 * [backup-simplify]: Simplify (+ 1 0) into 1 1.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.396 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.396 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.400 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.402 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.402 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 1.402 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [backup-simplify]: Simplify 1.0 into 1.0 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (sqrt 0) into 0 1.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.404 * [taylor]: Taking taylor expansion of x in x 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of 1.0 in x 1.405 * [backup-simplify]: Simplify 1.0 into 1.0 1.405 * [backup-simplify]: Simplify (+ 1 0) into 1 1.405 * [backup-simplify]: Simplify (sqrt 0) into 0 1.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.408 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.408 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.411 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.412 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 1.412 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.412 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.412 * [taylor]: Taking taylor expansion of 1.0 in x 1.412 * [backup-simplify]: Simplify 1.0 into 1.0 1.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (/ 1 1) into 1 1.412 * [backup-simplify]: Simplify (- 1) into -1 1.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.413 * [backup-simplify]: Simplify (sqrt 0) into 0 1.414 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.414 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [backup-simplify]: Simplify 1.0 into 1.0 1.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (/ 1 1) into 1 1.414 * [backup-simplify]: Simplify (- 1) into -1 1.414 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.415 * [backup-simplify]: Simplify (sqrt 0) into 0 1.416 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.418 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.418 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.421 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.422 * * * [progress]: simplifying candidates 1.423 * [simplify]: Simplifying: (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))))) 1.423 * [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 (+ 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))) (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))))) (- (+ (* h0 h1) (log h0)) (* 1/2 (/ (pow h1 2) (pow h0 2)))) (- (* h0 (/ 1 h1)) (+ (* h3 (/ 1 (pow h1 2))) (log (/ 1 h1)))) (- (+ (log -1) (* h0 (/ 1 h1))) (+ (* h3 (/ 1 (pow h1 2))) (log (/ -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))))) 1.427 * * [simplify]: iteration 0 : 261 enodes (cost 353 ) 1.431 * * [simplify]: iteration 1 : 763 enodes (cost 320 ) 1.444 * * [simplify]: iteration 2 : 3137 enodes (cost 307 ) 1.512 * * [simplify]: iteration 3 : 5003 enodes (cost 299 ) 1.514 * * * [progress]: adding candidates to table 1.659 * [progress]: [Phase 3 of 3] Extracting. 1.659 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.661 * * * [regime-changes]: Trying 2 branch expressions: ((+ 1.0 x) x) 1.661 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # # # # # #) 1.691 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 1.701 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 1.736 * * * [regime]: Found split indices: #