14.069 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying: (log (+ 1.0 x)) 0.091 * * [simplify]: iteration 0: 4 enodes 0.091 * * [simplify]: iteration 1: 5 enodes 0.092 * * [simplify]: iteration complete: 5 enodes 0.092 * * [simplify]: Extracting #0: cost 1 inf + 0 0.092 * * [simplify]: Extracting #1: cost 2 inf + 0 0.092 * * [simplify]: Extracting #2: cost 4 inf + 0 0.092 * * [simplify]: Extracting #3: cost 2 inf + 2 0.092 * * [simplify]: Extracting #4: cost 0 inf + 156 0.092 * [simplify]: Simplified to: (log (+ x 1.0)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.118 * * * [progress]: generating series expansions 0.118 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.119 * [backup-simplify]: Simplify (log (+ 1.0 x)) into (log (+ x 1.0)) 0.119 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.120 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.121 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.121 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.122 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.122 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.128 * [backup-simplify]: Simplify 1.0 into 1.0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.140 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.141 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow x 2)) (+ (* 1.0 x) (log 1.0))) into (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 0.141 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 x))) into (log (+ (/ 1 x) 1.0)) 0.141 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (log 1) into 0 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (log 1) into 0 0.143 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 0.144 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.148 * [backup-simplify]: Simplify 1.0 into 1.0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [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 0.155 * [backup-simplify]: Simplify -0.5 into -0.5 0.155 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (- (log (/ 1 x))))) into (- (* 1.0 (/ 1 x)) (+ (log (/ 1 x)) (* 0.5 (/ 1 (pow x 2))))) 0.155 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- x)))) into (log (- 1.0 (/ 1 x))) 0.155 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (- 1) into -1 0.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.156 * [backup-simplify]: Simplify (log -1) into (log -1) 0.156 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.158 * [backup-simplify]: Simplify (log -1) into (log -1) 0.158 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 0.158 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.163 * [backup-simplify]: Simplify -1.0 into -1.0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [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 0.172 * [backup-simplify]: Simplify -0.5 into -0.5 0.173 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- x)) 2)) (+ (* -1.0 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (* 1.0 (/ 1 x)) (log -1)) (+ (log (/ -1 x)) (* 0.5 (/ 1 (pow x 2))))) 0.173 * * * [progress]: simplifying candidates 0.174 * [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))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (log (/ 1 x)) (* 0.5 (/ 1 (pow x 2))))) (- (+ (* 1.0 (/ 1 x)) (log -1)) (+ (log (/ -1 x)) (* 0.5 (/ 1 (pow x 2))))) 0.175 * * [simplify]: iteration 0: 60 enodes 0.201 * * [simplify]: iteration 1: 131 enodes 0.260 * * [simplify]: iteration 2: 324 enodes 0.463 * * [simplify]: iteration 3: 823 enodes 1.130 * * [simplify]: iteration 4: 2640 enodes 2.531 * * [simplify]: iteration complete: 5000 enodes 2.531 * * [simplify]: Extracting #0: cost 19 inf + 0 2.531 * * [simplify]: Extracting #1: cost 160 inf + 1 2.537 * * [simplify]: Extracting #2: cost 964 inf + 2810 2.565 * * [simplify]: Extracting #3: cost 589 inf + 54263 2.607 * * [simplify]: Extracting #4: cost 137 inf + 105638 2.658 * * [simplify]: Extracting #5: cost 99 inf + 113892 2.715 * * [simplify]: Extracting #6: cost 82 inf + 124872 2.752 * * [simplify]: Extracting #7: cost 22 inf + 132997 2.809 * * [simplify]: Extracting #8: cost 0 inf + 138559 2.879 * [simplify]: Simplified to: (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))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (fma x (* x x) (* (* 1.0 1.0) 1.0))) (log (fma x (- x 1.0) (* 1.0 1.0))) (log (* (+ 1.0 x) (- 1.0 x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (log (+ 1.0 x)) (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (+ (/ (- 1.0 (/ 0.5 x)) x) (log x)) (+ (/ (- 1.0 (/ 0.5 x)) x) (log x)) 2.880 * * * [progress]: adding candidates to table 2.955 * * [progress]: iteration 2 / 4 2.955 * * * [progress]: picking best candidate 2.965 * * * * [pick]: Picked # 2.965 * * * [progress]: localizing error 2.976 * * * [progress]: generating rewritten candidates 2.976 * * * [progress]: generating series expansions 2.976 * * * [progress]: simplifying candidates 2.976 * [simplify]: Simplifying: 2.976 * * [simplify]: iteration 0: 0 enodes 2.976 * * [simplify]: iteration complete: 0 enodes 2.976 * * [simplify]: Extracting #0: cost 0 inf + 0 2.976 * [simplify]: Simplified to: 2.976 * * * [progress]: adding candidates to table 2.977 * * [progress]: iteration 3 / 4 2.977 * * * [progress]: picking best candidate 2.988 * * * * [pick]: Picked # 2.988 * * * [progress]: localizing error 3.001 * * * [progress]: generating rewritten candidates 3.001 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 3.008 * * * [progress]: generating series expansions 3.008 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 3.009 * [backup-simplify]: Simplify (log (+ 1.0 x)) into (log (+ x 1.0)) 3.009 * [approximate]: Taking taylor expansion of (log (+ x 1.0)) in (x) around 0 3.009 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.009 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.009 * [taylor]: Taking taylor expansion of x in x 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [taylor]: Taking taylor expansion of 1.0 in x 3.009 * [backup-simplify]: Simplify 1.0 into 1.0 3.009 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.009 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.010 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 3.010 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.010 * [taylor]: Taking taylor expansion of x in x 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [taylor]: Taking taylor expansion of 1.0 in x 3.010 * [backup-simplify]: Simplify 1.0 into 1.0 3.010 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.010 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.010 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.011 * [backup-simplify]: Simplify (+ 1 0) into 1 3.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.014 * [backup-simplify]: Simplify 1.0 into 1.0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [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)) 3.021 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.027 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow x 2)) (+ (* 1.0 x) (log 1.0))) into (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3.027 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 x))) into (log (+ (/ 1 x) 1.0)) 3.027 * [approximate]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in (x) around 0 3.028 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.028 * [taylor]: Taking taylor expansion of x in x 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 1 into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [taylor]: Taking taylor expansion of 1.0 in x 3.028 * [backup-simplify]: Simplify 1.0 into 1.0 3.028 * [backup-simplify]: Simplify (+ 1 0) into 1 3.029 * [backup-simplify]: Simplify (log 1) into 0 3.029 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 3.029 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.029 * [taylor]: Taking taylor expansion of x in x 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.029 * [taylor]: Taking taylor expansion of 1.0 in x 3.029 * [backup-simplify]: Simplify 1.0 into 1.0 3.029 * [backup-simplify]: Simplify (+ 1 0) into 1 3.030 * [backup-simplify]: Simplify (log 1) into 0 3.030 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 3.030 * [backup-simplify]: Simplify (- (log x)) into (- (log x)) 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.034 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.034 * [backup-simplify]: Simplify 1.0 into 1.0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [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 3.042 * [backup-simplify]: Simplify -0.5 into -0.5 3.042 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (- (log (/ 1 x))))) into (- (* 1.0 (/ 1 x)) (+ (log (/ 1 x)) (* 0.5 (/ 1 (pow x 2))))) 3.042 * [backup-simplify]: Simplify (log (+ 1.0 (/ 1 (- x)))) into (log (- 1.0 (/ 1 x))) 3.042 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in (x) around 0 3.042 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.042 * [backup-simplify]: Simplify 1.0 into 1.0 3.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.042 * [taylor]: Taking taylor expansion of x in x 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 1 into 1 3.042 * [backup-simplify]: Simplify (/ 1 1) into 1 3.042 * [backup-simplify]: Simplify (- 1) into -1 3.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.043 * [backup-simplify]: Simplify (log -1) into (log -1) 3.043 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 3.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [backup-simplify]: Simplify 1.0 into 1.0 3.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (/ 1 1) into 1 3.044 * [backup-simplify]: Simplify (- 1) into -1 3.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.044 * [backup-simplify]: Simplify (log -1) into (log -1) 3.045 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 3.045 * [backup-simplify]: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (- 0) into 0 3.046 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.050 * [backup-simplify]: Simplify -1.0 into -1.0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [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 3.057 * [backup-simplify]: Simplify -0.5 into -0.5 3.058 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- x)) 2)) (+ (* -1.0 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (* 1.0 (/ 1 x)) (log -1)) (+ (log (/ -1 x)) (* 0.5 (/ 1 (pow x 2))))) 3.058 * * * [progress]: simplifying candidates 3.058 * [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))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 x)) (+ (log (/ 1 x)) (* 0.5 (/ 1 (pow x 2))))) (- (+ (* 1.0 (/ 1 x)) (log -1)) (+ (log (/ -1 x)) (* 0.5 (/ 1 (pow x 2))))) 3.059 * * [simplify]: iteration 0: 60 enodes 3.083 * * [simplify]: iteration 1: 131 enodes 3.167 * * [simplify]: iteration 2: 324 enodes 3.351 * * [simplify]: iteration 3: 823 enodes 4.098 * * [simplify]: iteration 4: 2640 enodes 5.540 * * [simplify]: iteration complete: 5000 enodes 5.540 * * [simplify]: Extracting #0: cost 19 inf + 0 5.541 * * [simplify]: Extracting #1: cost 160 inf + 1 5.545 * * [simplify]: Extracting #2: cost 964 inf + 2810 5.559 * * [simplify]: Extracting #3: cost 589 inf + 54263 5.599 * * [simplify]: Extracting #4: cost 137 inf + 105638 5.664 * * [simplify]: Extracting #5: cost 99 inf + 113892 5.710 * * [simplify]: Extracting #6: cost 82 inf + 124872 5.772 * * [simplify]: Extracting #7: cost 22 inf + 132997 5.814 * * [simplify]: Extracting #8: cost 0 inf + 138559 5.862 * [simplify]: Simplified to: (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))) 0 (log (+ 1.0 x)) 0 (log (+ 1.0 x)) (log (fma x (* x x) (* (* 1.0 1.0) 1.0))) (log (fma x (- x 1.0) (* 1.0 1.0))) (log (* (+ 1.0 x) (- 1.0 x))) (log (- 1.0 x)) (log (+ 1.0 x)) (log (log (+ 1.0 x))) (+ 1.0 x) (* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x)))) (cbrt (log (+ 1.0 x))) (* (log (+ 1.0 x)) (* (log (+ 1.0 x)) (log (+ 1.0 x)))) (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (+ (/ (- 1.0 (/ 0.5 x)) x) (log x)) (+ (/ (- 1.0 (/ 0.5 x)) x) (log x)) 5.863 * * * [progress]: adding candidates to table 5.931 * * [progress]: iteration 4 / 4 5.931 * * * [progress]: picking best candidate 5.938 * * * * [pick]: Picked # 5.938 * * * [progress]: localizing error 5.950 * * * [progress]: generating rewritten candidates 5.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.955 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.960 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.966 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.979 * * * [progress]: generating series expansions 5.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.979 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 x))) into (log (sqrt (+ x 1.0))) 5.979 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 5.979 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 5.979 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.979 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.979 * [taylor]: Taking taylor expansion of x in x 5.979 * [backup-simplify]: Simplify 0 into 0 5.979 * [backup-simplify]: Simplify 1 into 1 5.979 * [taylor]: Taking taylor expansion of 1.0 in x 5.979 * [backup-simplify]: Simplify 1.0 into 1.0 5.980 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.980 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.981 * [backup-simplify]: Simplify (+ 1 0) into 1 5.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.983 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.983 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 5.983 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.983 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.984 * [taylor]: Taking taylor expansion of x in x 5.984 * [backup-simplify]: Simplify 0 into 0 5.984 * [backup-simplify]: Simplify 1 into 1 5.984 * [taylor]: Taking taylor expansion of 1.0 in x 5.984 * [backup-simplify]: Simplify 1.0 into 1.0 5.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.984 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.985 * [backup-simplify]: Simplify (+ 1 0) into 1 5.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.987 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.988 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 5.999 * [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)) 6.001 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 6.001 * [backup-simplify]: Simplify (+ 0 0) into 0 6.004 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.018 * [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)) 6.019 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 6.022 * [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)))) 6.022 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 x)))) into (log (sqrt (+ (/ 1 x) 1.0))) 6.022 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 6.022 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 6.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.022 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.022 * [taylor]: Taking taylor expansion of x in x 6.022 * [backup-simplify]: Simplify 0 into 0 6.022 * [backup-simplify]: Simplify 1 into 1 6.022 * [backup-simplify]: Simplify (/ 1 1) into 1 6.022 * [taylor]: Taking taylor expansion of 1.0 in x 6.022 * [backup-simplify]: Simplify 1.0 into 1.0 6.023 * [backup-simplify]: Simplify (+ 1 0) into 1 6.023 * [backup-simplify]: Simplify (sqrt 0) into 0 6.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.028 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.028 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 6.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.028 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (/ 1 1) into 1 6.029 * [taylor]: Taking taylor expansion of 1.0 in x 6.029 * [backup-simplify]: Simplify 1.0 into 1.0 6.029 * [backup-simplify]: Simplify (+ 1 0) into 1 6.029 * [backup-simplify]: Simplify (sqrt 0) into 0 6.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.030 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.031 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.032 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.033 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.038 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.039 * [backup-simplify]: Simplify (+ 0 0) into 0 6.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.058 * [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 6.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.058 * [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))))) 6.059 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 (- x))))) into (log (sqrt (- 1.0 (/ 1 x)))) 6.059 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 6.059 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 6.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.059 * [taylor]: Taking taylor expansion of 1.0 in x 6.059 * [backup-simplify]: Simplify 1.0 into 1.0 6.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.059 * [taylor]: Taking taylor expansion of x in x 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (/ 1 1) into 1 6.060 * [backup-simplify]: Simplify (- 1) into -1 6.060 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.061 * [backup-simplify]: Simplify (sqrt 0) into 0 6.062 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.062 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.063 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 6.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.063 * [taylor]: Taking taylor expansion of 1.0 in x 6.063 * [backup-simplify]: Simplify 1.0 into 1.0 6.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.063 * [taylor]: Taking taylor expansion of x in x 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [backup-simplify]: Simplify (/ 1 1) into 1 6.063 * [backup-simplify]: Simplify (- 1) into -1 6.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.064 * [backup-simplify]: Simplify (sqrt 0) into 0 6.066 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.066 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.067 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (- 0) into 0 6.068 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.071 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.078 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.079 * [backup-simplify]: Simplify (- 0) into 0 6.079 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.098 * [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 6.098 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.099 * [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))))) 6.099 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.099 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 x))) into (log (sqrt (+ x 1.0))) 6.099 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 6.099 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 6.099 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.099 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.099 * [taylor]: Taking taylor expansion of x in x 6.099 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 1 into 1 6.100 * [taylor]: Taking taylor expansion of 1.0 in x 6.100 * [backup-simplify]: Simplify 1.0 into 1.0 6.100 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.101 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.101 * [backup-simplify]: Simplify (+ 1 0) into 1 6.103 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.104 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 6.104 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 6.104 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.104 * [taylor]: Taking taylor expansion of x in x 6.104 * [backup-simplify]: Simplify 0 into 0 6.104 * [backup-simplify]: Simplify 1 into 1 6.104 * [taylor]: Taking taylor expansion of 1.0 in x 6.104 * [backup-simplify]: Simplify 1.0 into 1.0 6.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.105 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.106 * [backup-simplify]: Simplify (+ 1 0) into 1 6.107 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.108 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 6.109 * [backup-simplify]: Simplify (log (sqrt 1.0)) into (log (sqrt 1.0)) 6.121 * [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)) 6.123 * [backup-simplify]: Simplify (/ 1/2 (pow (sqrt 1.0) 2)) into (/ 1/2 (pow (sqrt 1.0) 2)) 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.158 * [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)) 6.160 * [backup-simplify]: Simplify (/ -1/4 (pow (sqrt 1.0) 4)) into (/ -1/4 (pow (sqrt 1.0) 4)) 6.164 * [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)))) 6.165 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 x)))) into (log (sqrt (+ (/ 1 x) 1.0))) 6.165 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in (x) around 0 6.165 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 6.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.165 * [taylor]: Taking taylor expansion of x in x 6.165 * [backup-simplify]: Simplify 0 into 0 6.165 * [backup-simplify]: Simplify 1 into 1 6.165 * [backup-simplify]: Simplify (/ 1 1) into 1 6.165 * [taylor]: Taking taylor expansion of 1.0 in x 6.165 * [backup-simplify]: Simplify 1.0 into 1.0 6.166 * [backup-simplify]: Simplify (+ 1 0) into 1 6.166 * [backup-simplify]: Simplify (sqrt 0) into 0 6.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.168 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.168 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 x) 1.0))) in x 6.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.168 * [taylor]: Taking taylor expansion of x in x 6.168 * [backup-simplify]: Simplify 0 into 0 6.168 * [backup-simplify]: Simplify 1 into 1 6.169 * [backup-simplify]: Simplify (/ 1 1) into 1 6.169 * [taylor]: Taking taylor expansion of 1.0 in x 6.169 * [backup-simplify]: Simplify 1.0 into 1.0 6.169 * [backup-simplify]: Simplify (+ 1 0) into 1 6.169 * [backup-simplify]: Simplify (sqrt 0) into 0 6.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.171 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.172 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.182 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ 0 0) into 0 6.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.196 * [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 6.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.197 * [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))))) 6.197 * [backup-simplify]: Simplify (log (sqrt (+ 1.0 (/ 1 (- x))))) into (log (sqrt (- 1.0 (/ 1 x)))) 6.197 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 6.197 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 6.197 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.197 * [taylor]: Taking taylor expansion of 1.0 in x 6.197 * [backup-simplify]: Simplify 1.0 into 1.0 6.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.197 * [taylor]: Taking taylor expansion of x in x 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [backup-simplify]: Simplify (- 1) into -1 6.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.198 * [backup-simplify]: Simplify (sqrt 0) into 0 6.199 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.199 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.199 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 6.199 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.199 * [taylor]: Taking taylor expansion of 1.0 in x 6.199 * [backup-simplify]: Simplify 1.0 into 1.0 6.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.199 * [taylor]: Taking taylor expansion of x in x 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (/ 1 1) into 1 6.200 * [backup-simplify]: Simplify (- 1) into -1 6.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.200 * [backup-simplify]: Simplify (sqrt 0) into 0 6.201 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.201 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.202 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.202 * [backup-simplify]: Simplify (- 0) into 0 6.203 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.205 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.229 * [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 6.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.231 * [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))))) 6.231 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.231 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 6.231 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 6.231 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.231 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.231 * [taylor]: Taking taylor expansion of x in x 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [taylor]: Taking taylor expansion of 1.0 in x 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.232 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.232 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.233 * [backup-simplify]: Simplify (+ 1 0) into 1 6.234 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.235 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.235 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.235 * [taylor]: Taking taylor expansion of x in x 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [taylor]: Taking taylor expansion of 1.0 in x 6.235 * [backup-simplify]: Simplify 1.0 into 1.0 6.235 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.236 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.236 * [backup-simplify]: Simplify (+ 1 0) into 1 6.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.238 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.239 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 6.240 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.247 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.251 * [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)))) 6.251 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 6.251 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 6.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.251 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.251 * [taylor]: Taking taylor expansion of x in x 6.251 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify 1 into 1 6.252 * [backup-simplify]: Simplify (/ 1 1) into 1 6.252 * [taylor]: Taking taylor expansion of 1.0 in x 6.252 * [backup-simplify]: Simplify 1.0 into 1.0 6.252 * [backup-simplify]: Simplify (+ 1 0) into 1 6.253 * [backup-simplify]: Simplify (sqrt 0) into 0 6.254 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.254 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.254 * [taylor]: Taking taylor expansion of x in x 6.254 * [backup-simplify]: Simplify 0 into 0 6.254 * [backup-simplify]: Simplify 1 into 1 6.255 * [backup-simplify]: Simplify (/ 1 1) into 1 6.255 * [taylor]: Taking taylor expansion of 1.0 in x 6.255 * [backup-simplify]: Simplify 1.0 into 1.0 6.255 * [backup-simplify]: Simplify (+ 1 0) into 1 6.256 * [backup-simplify]: Simplify (sqrt 0) into 0 6.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.259 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.262 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.262 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify (+ 0 0) into 0 6.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.268 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.268 * [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))))) 6.268 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 6.268 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 6.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.268 * [taylor]: Taking taylor expansion of 1.0 in x 6.268 * [backup-simplify]: Simplify 1.0 into 1.0 6.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.268 * [taylor]: Taking taylor expansion of x in x 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (/ 1 1) into 1 6.269 * [backup-simplify]: Simplify (- 1) into -1 6.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.270 * [backup-simplify]: Simplify (sqrt 0) into 0 6.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.270 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.270 * [taylor]: Taking taylor expansion of 1.0 in x 6.270 * [backup-simplify]: Simplify 1.0 into 1.0 6.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.270 * [taylor]: Taking taylor expansion of x in x 6.270 * [backup-simplify]: Simplify 0 into 0 6.270 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (/ 1 1) into 1 6.271 * [backup-simplify]: Simplify (- 1) into -1 6.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.271 * [backup-simplify]: Simplify (sqrt 0) into 0 6.272 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.273 * [backup-simplify]: Simplify (- 0) into 0 6.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.275 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (- 0) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.278 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.279 * [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))))) 6.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.279 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 6.279 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 6.279 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.279 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.279 * [taylor]: Taking taylor expansion of x in x 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [taylor]: Taking taylor expansion of 1.0 in x 6.279 * [backup-simplify]: Simplify 1.0 into 1.0 6.279 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.279 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.280 * [backup-simplify]: Simplify (+ 1 0) into 1 6.281 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.281 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.281 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.281 * [taylor]: Taking taylor expansion of x in x 6.281 * [backup-simplify]: Simplify 0 into 0 6.281 * [backup-simplify]: Simplify 1 into 1 6.281 * [taylor]: Taking taylor expansion of 1.0 in x 6.281 * [backup-simplify]: Simplify 1.0 into 1.0 6.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.281 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.282 * [backup-simplify]: Simplify (+ 1 0) into 1 6.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 6.283 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 6.283 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.287 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.288 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 6.294 * [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)))) 6.294 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 6.294 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 6.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.294 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.294 * [taylor]: Taking taylor expansion of x in x 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.295 * [taylor]: Taking taylor expansion of 1.0 in x 6.295 * [backup-simplify]: Simplify 1.0 into 1.0 6.295 * [backup-simplify]: Simplify (+ 1 0) into 1 6.295 * [backup-simplify]: Simplify (sqrt 0) into 0 6.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 6.296 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 6.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.296 * [taylor]: Taking taylor expansion of x in x 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 1 into 1 6.297 * [backup-simplify]: Simplify (/ 1 1) into 1 6.297 * [taylor]: Taking taylor expansion of 1.0 in x 6.297 * [backup-simplify]: Simplify 1.0 into 1.0 6.297 * [backup-simplify]: Simplify (+ 1 0) into 1 6.297 * [backup-simplify]: Simplify (sqrt 0) into 0 6.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.300 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.303 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.305 * [backup-simplify]: Simplify (+ 0 0) into 0 6.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.309 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.309 * [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))))) 6.310 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 6.310 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 6.310 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.310 * [taylor]: Taking taylor expansion of 1.0 in x 6.310 * [backup-simplify]: Simplify 1.0 into 1.0 6.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.310 * [taylor]: Taking taylor expansion of x in x 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (/ 1 1) into 1 6.311 * [backup-simplify]: Simplify (- 1) into -1 6.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.311 * [backup-simplify]: Simplify (sqrt 0) into 0 6.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.313 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 6.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 6.313 * [taylor]: Taking taylor expansion of 1.0 in x 6.313 * [backup-simplify]: Simplify 1.0 into 1.0 6.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.313 * [taylor]: Taking taylor expansion of x in x 6.313 * [backup-simplify]: Simplify 0 into 0 6.313 * [backup-simplify]: Simplify 1 into 1 6.313 * [backup-simplify]: Simplify (/ 1 1) into 1 6.313 * [backup-simplify]: Simplify (- 1) into -1 6.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.314 * [backup-simplify]: Simplify (sqrt 0) into 0 6.315 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.315 * [backup-simplify]: Simplify 0 into 0 6.315 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.315 * [backup-simplify]: Simplify (- 0) into 0 6.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.318 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.319 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.321 * [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))))) 6.322 * * * [progress]: simplifying candidates 6.323 * [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))))) 6.324 * * [simplify]: iteration 0: 93 enodes 6.345 * * [simplify]: iteration 1: 192 enodes 6.431 * * [simplify]: iteration 2: 507 enodes 6.705 * * [simplify]: iteration 3: 1405 enodes 7.829 * * [simplify]: iteration 4: 4663 enodes 8.912 * * [simplify]: iteration complete: 5000 enodes 8.912 * * [simplify]: Extracting #0: cost 39 inf + 0 8.912 * * [simplify]: Extracting #1: cost 161 inf + 3 8.918 * * [simplify]: Extracting #2: cost 1017 inf + 639 8.940 * * [simplify]: Extracting #3: cost 1001 inf + 38630 9.001 * * [simplify]: Extracting #4: cost 242 inf + 142587 9.074 * * [simplify]: Extracting #5: cost 7 inf + 205690 9.150 * * [simplify]: Extracting #6: cost 0 inf + 208017 9.210 * [simplify]: Simplified to: (expm1 (log (sqrt (+ x 1.0)))) (log1p (log (sqrt (+ x 1.0)))) (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (log (cbrt (sqrt (+ x 1.0)))) (log (fabs (cbrt (+ x 1.0)))) (log (sqrt (cbrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0)))) (log (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (log (sqrt (* (+ x 1.0) (- 1.0 x)))) (log (sqrt (- 1.0 x))) (log (+ x 1.0)) (log (sqrt (+ x 1.0))) (log (+ x 1.0)) (log (log (sqrt (+ x 1.0)))) (sqrt (+ x 1.0)) (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0))))) (cbrt (log (sqrt (+ x 1.0)))) (* (log (sqrt (+ x 1.0))) (* (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))))) (sqrt (log (sqrt (+ x 1.0)))) (sqrt (log (sqrt (+ x 1.0)))) (expm1 (log (sqrt (+ x 1.0)))) (log1p (log (sqrt (+ x 1.0)))) (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (log (cbrt (sqrt (+ x 1.0)))) (log (fabs (cbrt (+ x 1.0)))) (log (sqrt (cbrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0)))) (log (sqrt (fma x (- x 1.0) (* 1.0 1.0)))) (log (sqrt (* (+ x 1.0) (- 1.0 x)))) (log (sqrt (- 1.0 x))) (log (+ x 1.0)) (log (sqrt (+ x 1.0))) (log (+ x 1.0)) (log (log (sqrt (+ x 1.0)))) (sqrt (+ x 1.0)) (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0))))) (cbrt (log (sqrt (+ x 1.0)))) (* (log (sqrt (+ x 1.0))) (* (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))))) (sqrt (log (sqrt (+ x 1.0)))) (sqrt (log (sqrt (+ x 1.0)))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (+ x 1.0)) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (+ x 1.0)) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (fma (* x x) x (* (* 1.0 1.0) 1.0))) (sqrt (fma x (- x 1.0) (* 1.0 1.0))) (sqrt (* (+ x 1.0) (- 1.0 x))) (sqrt (- 1.0 x)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (fma -1/4 (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ +nan.0 (* x x)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (* x x)) (/ +nan.0 x))) (fma -1/4 (* (/ x 1.0) (/ x 1.0)) (fma 1/2 (/ x 1.0) (log (sqrt 1.0)))) (- (log +nan.0) (- (/ +nan.0 (* x x)) (/ +nan.0 x))) (- (log +nan.0) (- (/ +nan.0 (* x x)) (/ +nan.0 x))) (fma (/ x (sqrt 1.0)) 1/2 (fma (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8 (sqrt 1.0))) (- (/ +nan.0 x) (fma (/ 1 x) (/ +nan.0 x) +nan.0)) (- (/ +nan.0 x) (fma (/ 1 x) (/ +nan.0 x) +nan.0)) (fma (/ x (sqrt 1.0)) 1/2 (fma (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8 (sqrt 1.0))) (- (/ +nan.0 x) (fma (/ 1 x) (/ +nan.0 x) +nan.0)) (- (/ +nan.0 x) (fma (/ 1 x) (/ +nan.0 x) +nan.0)) 9.220 * * * [progress]: adding candidates to table 9.645 * [progress]: [Phase 3 of 3] Extracting. 9.645 * * [regime]: Finding splitpoints for: (# # #) 9.646 * * * [regime-changes]: Trying 3 branch expressions: ((+ 1.0 x) (log (+ 1.0 x)) x) 9.646 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# # #) 9.677 * * * * [regimes]: Trying to branch on (+ 1.0 x) from (# #) 9.717 * * * * [regimes]: Trying to branch on (log (+ 1.0 x)) from (# # #) 9.750 * * * * [regimes]: Trying to branch on x from (# # #) 9.806 * * * [regime]: Found split indices: #