10.797 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 25 ) 0.021 * * [simplify]: iteration 1 : 32 enodes (cost 25 ) 0.028 * * [simplify]: iteration 2 : 167 enodes (cost 23 ) 0.119 * * [simplify]: iteration 3 : 869 enodes (cost 19 ) 3.660 * * [simplify]: iteration 4 : 4817 enodes (cost 15 ) 5.735 * * [simplify]: iteration done : 5000 enodes (cost 15 ) 5.735 * [simplify]: Simplified to: (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) 5.738 * * [progress]: iteration 1 / 4 5.738 * * * [progress]: picking best candidate 5.741 * * * * [pick]: Picked # 5.741 * * * [progress]: localizing error 5.749 * * * [progress]: generating rewritten candidates 5.749 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 5.752 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.780 * * * [progress]: generating series expansions 5.781 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 5.781 * [approximate]: Taking taylor expansion of (/ 1.0 (pow i 2)) in (i) around 0 5.781 * [taylor]: Taking taylor expansion of (/ 1.0 (pow i 2)) in i 5.781 * [taylor]: Taking taylor expansion of 1.0 in i 5.781 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.781 * [taylor]: Taking taylor expansion of i in i 5.782 * [taylor]: Taking taylor expansion of (/ 1.0 (pow i 2)) in i 5.782 * [taylor]: Taking taylor expansion of 1.0 in i 5.782 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.782 * [taylor]: Taking taylor expansion of i in i 5.789 * [approximate]: Taking taylor expansion of (* 1.0 (pow i 2)) in (i) around 0 5.789 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.789 * [taylor]: Taking taylor expansion of 1.0 in i 5.789 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.789 * [taylor]: Taking taylor expansion of i in i 5.789 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.789 * [taylor]: Taking taylor expansion of 1.0 in i 5.789 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.789 * [taylor]: Taking taylor expansion of i in i 5.797 * [approximate]: Taking taylor expansion of (* 1.0 (pow i 2)) in (i) around 0 5.797 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.797 * [taylor]: Taking taylor expansion of 1.0 in i 5.797 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.797 * [taylor]: Taking taylor expansion of i in i 5.798 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.798 * [taylor]: Taking taylor expansion of 1.0 in i 5.798 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.798 * [taylor]: Taking taylor expansion of i in i 5.805 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.806 * [approximate]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in (i) around 0 5.806 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in i 5.806 * [taylor]: Taking taylor expansion of 0.25 in i 5.806 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (/ 1 (pow i 2)))) in i 5.806 * [taylor]: Taking taylor expansion of 4.0 in i 5.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i 5.806 * [taylor]: Taking taylor expansion of 1.0 in i 5.806 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 5.806 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.806 * [taylor]: Taking taylor expansion of i in i 5.808 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in i 5.808 * [taylor]: Taking taylor expansion of 0.25 in i 5.808 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (/ 1 (pow i 2)))) in i 5.808 * [taylor]: Taking taylor expansion of 4.0 in i 5.808 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i 5.808 * [taylor]: Taking taylor expansion of 1.0 in i 5.808 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 5.808 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.808 * [taylor]: Taking taylor expansion of i in i 5.828 * [approximate]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in (i) around 0 5.828 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in i 5.828 * [taylor]: Taking taylor expansion of 0.25 in i 5.828 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 5.828 * [taylor]: Taking taylor expansion of 4.0 in i 5.828 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.828 * [taylor]: Taking taylor expansion of 1.0 in i 5.828 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.828 * [taylor]: Taking taylor expansion of i in i 5.829 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in i 5.829 * [taylor]: Taking taylor expansion of 0.25 in i 5.829 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 5.829 * [taylor]: Taking taylor expansion of 4.0 in i 5.829 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.829 * [taylor]: Taking taylor expansion of 1.0 in i 5.829 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.829 * [taylor]: Taking taylor expansion of i in i 5.842 * [approximate]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in (i) around 0 5.842 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in i 5.842 * [taylor]: Taking taylor expansion of 0.25 in i 5.842 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 5.842 * [taylor]: Taking taylor expansion of 4.0 in i 5.842 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.842 * [taylor]: Taking taylor expansion of 1.0 in i 5.842 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.842 * [taylor]: Taking taylor expansion of i in i 5.843 * [taylor]: Taking taylor expansion of (/ 0.25 (- 4.0 (* 1.0 (pow i 2)))) in i 5.843 * [taylor]: Taking taylor expansion of 0.25 in i 5.843 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 5.843 * [taylor]: Taking taylor expansion of 4.0 in i 5.843 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 5.843 * [taylor]: Taking taylor expansion of 1.0 in i 5.843 * [taylor]: Taking taylor expansion of (pow i 2) in i 5.843 * [taylor]: Taking taylor expansion of i in i 5.859 * * * [progress]: simplifying candidates 5.860 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (* i i))) (log1p (/ 1.0 (* i i))) (- (log 1.0) (+ (log i) (log i))) (- (log 1.0) (log (* i i))) (log (/ 1.0 (* i i))) (exp (/ 1.0 (* i i))) (/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i))) (/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i))) (* (cbrt (/ 1.0 (* i i))) (cbrt (/ 1.0 (* i i)))) (cbrt (/ 1.0 (* i i))) (* (* (/ 1.0 (* i i)) (/ 1.0 (* i i))) (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (- 1.0) (- (* i i)) (/ (* (cbrt 1.0) (cbrt 1.0)) i) (/ (cbrt 1.0) i) (/ (sqrt 1.0) i) (/ (sqrt 1.0) i) (/ 1 i) (/ 1.0 i) (/ 1 (* i i)) (/ (* i i) 1.0) (/ 1.0 i) (/ (* i i) (cbrt 1.0)) (/ (* i i) (sqrt 1.0)) (/ (* i i) 1.0) (expm1 (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (log1p (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- 1) (- 1) (- 1) (- (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (+ (log 2.0) (log 2.0)))) (- (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (log (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- 0 (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (+ (log 2.0) (log 2.0)))) (- 0 (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (log (* 2.0 2.0)))) (- 0 (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log 1) (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (+ (log 2.0) (log 2.0)))) (- (log 1) (+ (log (- (* 2.0 2.0) (/ 1.0 (* i i)))) (log (* 2.0 2.0)))) (- (log 1) (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (log (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (exp (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* 1 1) 1) (* (* (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (* (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))))) (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (* (* (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (sqrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (sqrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- 1) (- (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) (/ (* (cbrt 1) (cbrt 1)) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (cbrt 1) (* 2.0 2.0)) (/ (sqrt 1) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (sqrt 1) (* 2.0 2.0)) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (* 2.0 2.0)) (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) (/ (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) 1) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (cbrt 1)) (/ (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (sqrt 1)) (/ (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) 1) (/ 1 (* (- (pow (* 2.0 2.0) 3) (pow (/ 1.0 (* i i)) 3)) (* 2.0 2.0))) (/ 1 (* (- (* (* 2.0 2.0) (* 2.0 2.0)) (* (/ 1.0 (* i i)) (/ 1.0 (* i i)))) (* 2.0 2.0))) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 5.863 * * [simplify]: iteration 0 : 136 enodes (cost 944 ) 5.893 * * [simplify]: iteration 1 : 339 enodes (cost 867 ) 5.991 * * [simplify]: iteration 2 : 989 enodes (cost 732 ) 7.102 * * [simplify]: iteration 3 : 4237 enodes (cost 730 ) 8.294 * * [simplify]: iteration done : 5000 enodes (cost 730 ) 8.295 * [simplify]: Simplified to: (expm1 (/ 1.0 (* i i))) (log1p (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (exp (/ 1.0 (* i i))) (pow (/ 1.0 (pow i 2)) 3) (pow (/ 1.0 (pow i 2)) 3) (* (cbrt (/ 1.0 (* i i))) (cbrt (/ 1.0 (* i i)))) (cbrt (/ 1.0 (* i i))) (pow (/ 1.0 (pow i 2)) 3) (sqrt (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (- 1.0) (- (* i i)) (/ (* (cbrt 1.0) (cbrt 1.0)) i) (/ (cbrt 1.0) i) (/ (sqrt 1.0) i) (/ (sqrt 1.0) i) (/ 1 i) (/ 1.0 i) (/ 1 (pow i 2)) (/ (pow i 2) 1.0) (/ 1.0 i) (/ (* i i) (cbrt 1.0)) (/ (* i i) (sqrt 1.0)) (/ (pow i 2) 1.0) (expm1 (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (log1p (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) -1 -1 -1 (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (- (log (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (exp (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (pow (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) 3) (pow (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) 3) (pow (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) 3) (* (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))))) (cbrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (pow (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) 3) (sqrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) (sqrt (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)))) -1 (* (* 2.0 2.0) (fma (- 2.0) 2.0 (/ 1.0 (pow i 2)))) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (/ 1 2.0) 2.0) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (/ 1 2.0) 2.0) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (/ 1 2.0) 2.0) (/ 1 (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0))) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (* 2.0 2.0)) (/ (/ 1 (* 2.0 2.0)) (- (pow 2.0 6) (pow (/ 1.0 (pow i 2)) 3))) (/ (/ (/ 1 2.0) 2.0) (- (pow 2.0 4) (/ (* 1.0 1.0) (pow i 4)))) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (- (fma 0.25 (* i i) (fma 1.0 (pow i 4) (* 4.0 (pow i 6))))) (+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (pow i 2)))) (+ (/ 0.00390625 (pow i 4)) (+ 0.0625 (/ 0.015625 (pow i 2)))) 8.295 * * * [progress]: adding candidates to table 8.391 * * [progress]: iteration 2 / 4 8.391 * * * [progress]: picking best candidate 8.397 * * * * [pick]: Picked # 8.397 * * * [progress]: localizing error 8.404 * * * [progress]: generating rewritten candidates 8.405 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2 2) 8.408 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.421 * * * [progress]: generating series expansions 8.421 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2 2) 8.421 * [approximate]: Taking taylor expansion of (/ 1.0 (pow i 2)) in (i) around 0 8.421 * [taylor]: Taking taylor expansion of (/ 1.0 (pow i 2)) in i 8.421 * [taylor]: Taking taylor expansion of 1.0 in i 8.421 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.421 * [taylor]: Taking taylor expansion of i in i 8.422 * [taylor]: Taking taylor expansion of (/ 1.0 (pow i 2)) in i 8.422 * [taylor]: Taking taylor expansion of 1.0 in i 8.422 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.422 * [taylor]: Taking taylor expansion of i in i 8.430 * [approximate]: Taking taylor expansion of (* 1.0 (pow i 2)) in (i) around 0 8.430 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.430 * [taylor]: Taking taylor expansion of 1.0 in i 8.430 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.430 * [taylor]: Taking taylor expansion of i in i 8.430 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.430 * [taylor]: Taking taylor expansion of 1.0 in i 8.430 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.430 * [taylor]: Taking taylor expansion of i in i 8.438 * [approximate]: Taking taylor expansion of (* 1.0 (pow i 2)) in (i) around 0 8.438 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.438 * [taylor]: Taking taylor expansion of 1.0 in i 8.438 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.438 * [taylor]: Taking taylor expansion of i in i 8.438 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.438 * [taylor]: Taking taylor expansion of 1.0 in i 8.438 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.438 * [taylor]: Taking taylor expansion of i in i 8.446 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.446 * [approximate]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in (i) around 0 8.446 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in i 8.446 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (/ 1 (pow i 2)))) in i 8.446 * [taylor]: Taking taylor expansion of 4.0 in i 8.446 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i 8.446 * [taylor]: Taking taylor expansion of 1.0 in i 8.447 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 8.447 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.447 * [taylor]: Taking taylor expansion of i in i 8.449 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (/ 1 (pow i 2))))) in i 8.449 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (/ 1 (pow i 2)))) in i 8.449 * [taylor]: Taking taylor expansion of 4.0 in i 8.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow i 2))) in i 8.449 * [taylor]: Taking taylor expansion of 1.0 in i 8.449 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 8.449 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.449 * [taylor]: Taking taylor expansion of i in i 8.472 * [approximate]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in (i) around 0 8.472 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in i 8.472 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 8.472 * [taylor]: Taking taylor expansion of 4.0 in i 8.472 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.472 * [taylor]: Taking taylor expansion of 1.0 in i 8.472 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.472 * [taylor]: Taking taylor expansion of i in i 8.472 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in i 8.473 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 8.473 * [taylor]: Taking taylor expansion of 4.0 in i 8.473 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.473 * [taylor]: Taking taylor expansion of 1.0 in i 8.473 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.473 * [taylor]: Taking taylor expansion of i in i 8.485 * [approximate]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in (i) around 0 8.485 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in i 8.485 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 8.485 * [taylor]: Taking taylor expansion of 4.0 in i 8.485 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.485 * [taylor]: Taking taylor expansion of 1.0 in i 8.485 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.485 * [taylor]: Taking taylor expansion of i in i 8.486 * [taylor]: Taking taylor expansion of (/ 1 (- 4.0 (* 1.0 (pow i 2)))) in i 8.486 * [taylor]: Taking taylor expansion of (- 4.0 (* 1.0 (pow i 2))) in i 8.486 * [taylor]: Taking taylor expansion of 4.0 in i 8.486 * [taylor]: Taking taylor expansion of (* 1.0 (pow i 2)) in i 8.486 * [taylor]: Taking taylor expansion of 1.0 in i 8.486 * [taylor]: Taking taylor expansion of (pow i 2) in i 8.486 * [taylor]: Taking taylor expansion of i in i 8.498 * * * [progress]: simplifying candidates 8.499 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (* i i))) (log1p (/ 1.0 (* i i))) (- (log 1.0) (+ (log i) (log i))) (- (log 1.0) (log (* i i))) (log (/ 1.0 (* i i))) (exp (/ 1.0 (* i i))) (/ (* (* 1.0 1.0) 1.0) (* (* (* i i) i) (* (* i i) i))) (/ (* (* 1.0 1.0) 1.0) (* (* (* i i) (* i i)) (* i i))) (* (cbrt (/ 1.0 (* i i))) (cbrt (/ 1.0 (* i i)))) (cbrt (/ 1.0 (* i i))) (* (* (/ 1.0 (* i i)) (/ 1.0 (* i i))) (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (- 1.0) (- (* i i)) (/ (* (cbrt 1.0) (cbrt 1.0)) i) (/ (cbrt 1.0) i) (/ (sqrt 1.0) i) (/ (sqrt 1.0) i) (/ 1 i) (/ 1.0 i) (/ 1 (* i i)) (/ (* i i) 1.0) (/ 1.0 i) (/ (* i i) (cbrt 1.0)) (/ (* i i) (sqrt 1.0)) (/ (* i i) 1.0) (expm1 (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (log1p (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- 1) (- (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- 0 (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- (log 1) (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (log (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (exp (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (* (* 1 1) 1) (* (* (- (* 2.0 2.0) (/ 1.0 (* i i))) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (- (* 2.0 2.0) (/ 1.0 (* i i))))) (* (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (* (* (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (sqrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (sqrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- 1) (- (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ (cbrt 1) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (cbrt 1) (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (* (cbrt 1) (cbrt 1)) (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ (cbrt 1) (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ (* (cbrt 1) (cbrt 1)) (+ 2.0 (/ (sqrt 1.0) i))) (/ (cbrt 1) (- 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ (sqrt 1) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (sqrt 1) (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (sqrt 1) (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (sqrt 1) (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ (sqrt 1) (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 1) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ (- (* 2.0 2.0) (/ 1.0 (* i i))) 1) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 1) (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ (- (* 2.0 2.0) (/ 1.0 (* i i))) (cbrt 1)) (/ (- (* 2.0 2.0) (/ 1.0 (* i i))) (sqrt 1)) (/ (- (* 2.0 2.0) (/ 1.0 (* i i))) 1) (/ 1 (- (pow (* 2.0 2.0) 3) (pow (/ 1.0 (* i i)) 3))) (/ 1 (- (* (* 2.0 2.0) (* 2.0 2.0)) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (- (+ (* 1.0 (pow i 2)) (+ (* 4.0 (pow i 4)) (* 16.0 (pow i 6))))) (+ (* 0.015625 (/ 1 (pow i 4))) (+ (* 0.0625 (/ 1 (pow i 2))) 0.25)) (+ (* 0.015625 (/ 1 (pow i 4))) (+ (* 0.0625 (/ 1 (pow i 2))) 0.25)) 8.503 * * [simplify]: iteration 0 : 140 enodes (cost 989 ) 8.535 * * [simplify]: iteration 1 : 294 enodes (cost 921 ) 8.611 * * [simplify]: iteration 2 : 710 enodes (cost 835 ) 9.025 * * [simplify]: iteration 3 : 2399 enodes (cost 833 ) 10.402 * * [simplify]: iteration done : 5000 enodes (cost 832 ) 10.402 * [simplify]: Simplified to: (expm1 (/ 1.0 (* i i))) (log1p (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (log (/ 1.0 (* i i))) (exp (/ 1.0 (* i i))) (pow (/ 1.0 (pow i 2)) 3) (pow (/ 1.0 (pow i 2)) 3) (* (cbrt (/ 1.0 (* i i))) (cbrt (/ 1.0 (* i i)))) (cbrt (/ 1.0 (* i i))) (pow (/ 1.0 (pow i 2)) 3) (sqrt (/ 1.0 (* i i))) (sqrt (/ 1.0 (* i i))) (- 1.0) (- (* i i)) (/ (* (cbrt 1.0) (cbrt 1.0)) i) (/ (cbrt 1.0) i) (/ (sqrt 1.0) i) (/ (sqrt 1.0) i) (/ 1 i) (/ 1.0 i) (/ 1 (pow i 2)) (/ (pow i 2) 1.0) (/ 1.0 i) (/ (* i i) (cbrt 1.0)) (/ (* i i) (sqrt 1.0)) (/ (pow i 2) 1.0) (expm1 (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (log1p (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) -1 (- (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (- (log (- (* 2.0 2.0) (/ 1.0 (* i i))))) (exp (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (pow (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) 3) (* (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (cbrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (pow (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) 3) (sqrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) (sqrt (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i))))) -1 (- (/ 1.0 (pow i 2)) (* 2.0 2.0)) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (cbrt (- (* 2.0 2.0) (/ 1.0 (pow i 2))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) 1 (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (cbrt (- (* 2.0 2.0) (/ 1.0 (pow i 2))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) 1 (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (cbrt (- (* 2.0 2.0) (/ 1.0 (pow i 2))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) 1 (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (- 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (- (* 2.0 2.0) (/ 1.0 (* i i)))) (- (* 2.0 2.0) (/ 1.0 (pow i 2))) (/ 1 (* (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))) (cbrt (- (* 2.0 2.0) (/ 1.0 (* i i)))))) (/ 1 (sqrt (- (* 2.0 2.0) (/ 1.0 (* i i))))) 1 (/ 1 (+ 2.0 (sqrt (/ 1.0 (* i i))))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (- (* 2.0 2.0) (/ 1.0 (pow i 2))) (- (* 2.0 2.0) (/ 1.0 (pow i 2))) (- (* 2.0 2.0) (/ 1.0 (pow i 2))) (/ 1 (- (pow 2.0 6) (pow (/ 1.0 (pow i 2)) 3))) (/ 1 (- (pow 2.0 4) (/ (* 1.0 1.0) (pow i 4)))) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (/ 1.0 (pow i 2)) (- (fma 1.0 (* i i) (fma 4.0 (pow i 4) (* 16.0 (pow i 6))))) (+ (+ (/ 0.015625 (pow i 4)) 0.25) (/ 0.0625 (pow i 2))) (+ (+ (/ 0.015625 (pow i 4)) 0.25) (/ 0.0625 (pow i 2))) 10.403 * * * [progress]: adding candidates to table 10.524 * * [progress]: iteration 3 / 4 10.524 * * * [progress]: picking best candidate 10.528 * * * * [pick]: Picked # 10.528 * * * [progress]: localizing error 10.538 * * * [progress]: generating rewritten candidates 10.538 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 10.559 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.623 * * * [progress]: generating series expansions 10.623 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 10.623 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in (i) around 0 10.624 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in i 10.624 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 10.624 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.624 * [taylor]: Taking taylor expansion of 1.0 in i 10.624 * [taylor]: Taking taylor expansion of i in i 10.625 * [taylor]: Taking taylor expansion of 2.0 in i 10.626 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in i 10.626 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 10.626 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.626 * [taylor]: Taking taylor expansion of 1.0 in i 10.627 * [taylor]: Taking taylor expansion of i in i 10.628 * [taylor]: Taking taylor expansion of 2.0 in i 10.648 * [approximate]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in (i) around 0 10.648 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 10.648 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.648 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.648 * [taylor]: Taking taylor expansion of i in i 10.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.648 * [taylor]: Taking taylor expansion of 1.0 in i 10.649 * [taylor]: Taking taylor expansion of 2.0 in i 10.650 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 10.650 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.650 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.650 * [taylor]: Taking taylor expansion of i in i 10.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.650 * [taylor]: Taking taylor expansion of 1.0 in i 10.651 * [taylor]: Taking taylor expansion of 2.0 in i 10.665 * [approximate]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in (i) around 0 10.665 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 10.665 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.665 * [taylor]: Taking taylor expansion of 2.0 in i 10.665 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.665 * [taylor]: Taking taylor expansion of i in i 10.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.665 * [taylor]: Taking taylor expansion of 1.0 in i 10.667 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 10.667 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.667 * [taylor]: Taking taylor expansion of 2.0 in i 10.667 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.667 * [taylor]: Taking taylor expansion of i in i 10.667 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.667 * [taylor]: Taking taylor expansion of 1.0 in i 10.683 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.683 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in (i) around 0 10.683 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in i 10.683 * [taylor]: Taking taylor expansion of (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i))) in i 10.684 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 10.684 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.684 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.684 * [taylor]: Taking taylor expansion of 1.0 in i 10.684 * [taylor]: Taking taylor expansion of i in i 10.685 * [taylor]: Taking taylor expansion of 2.0 in i 10.685 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 10.685 * [taylor]: Taking taylor expansion of 2.0 in i 10.685 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.685 * [taylor]: Taking taylor expansion of 1.0 in i 10.686 * [taylor]: Taking taylor expansion of i in i 10.695 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in i 10.695 * [taylor]: Taking taylor expansion of (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i))) in i 10.695 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 10.695 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.695 * [taylor]: Taking taylor expansion of 1.0 in i 10.695 * [taylor]: Taking taylor expansion of i in i 10.696 * [taylor]: Taking taylor expansion of 2.0 in i 10.696 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 10.696 * [taylor]: Taking taylor expansion of 2.0 in i 10.696 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 10.696 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.696 * [taylor]: Taking taylor expansion of 1.0 in i 10.697 * [taylor]: Taking taylor expansion of i in i 10.748 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in (i) around 0 10.748 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 10.748 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 10.748 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.748 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.748 * [taylor]: Taking taylor expansion of i in i 10.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.748 * [taylor]: Taking taylor expansion of 1.0 in i 10.748 * [taylor]: Taking taylor expansion of 2.0 in i 10.748 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.748 * [taylor]: Taking taylor expansion of 2.0 in i 10.748 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.748 * [taylor]: Taking taylor expansion of i in i 10.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.748 * [taylor]: Taking taylor expansion of 1.0 in i 10.751 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 10.751 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 10.751 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.751 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.751 * [taylor]: Taking taylor expansion of i in i 10.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.751 * [taylor]: Taking taylor expansion of 1.0 in i 10.752 * [taylor]: Taking taylor expansion of 2.0 in i 10.752 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.752 * [taylor]: Taking taylor expansion of 2.0 in i 10.752 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.752 * [taylor]: Taking taylor expansion of i in i 10.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.752 * [taylor]: Taking taylor expansion of 1.0 in i 10.795 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in (i) around 0 10.795 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 10.795 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 10.795 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.795 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.795 * [taylor]: Taking taylor expansion of i in i 10.795 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.795 * [taylor]: Taking taylor expansion of 1.0 in i 10.796 * [taylor]: Taking taylor expansion of 2.0 in i 10.796 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.796 * [taylor]: Taking taylor expansion of 2.0 in i 10.796 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.796 * [taylor]: Taking taylor expansion of i in i 10.796 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.796 * [taylor]: Taking taylor expansion of 1.0 in i 10.798 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 10.798 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 10.798 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 10.798 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.798 * [taylor]: Taking taylor expansion of i in i 10.798 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.798 * [taylor]: Taking taylor expansion of 1.0 in i 10.799 * [taylor]: Taking taylor expansion of 2.0 in i 10.799 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 10.799 * [taylor]: Taking taylor expansion of 2.0 in i 10.799 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 10.799 * [taylor]: Taking taylor expansion of i in i 10.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 10.799 * [taylor]: Taking taylor expansion of 1.0 in i 10.838 * * * [progress]: simplifying candidates 10.843 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (log1p (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (log (+ 2.0 (/ (sqrt 1.0) i)))) (- 0 (log (+ 2.0 (/ (sqrt 1.0) i)))) (- (log 1) (log (+ 2.0 (/ (sqrt 1.0) i)))) (log (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (exp (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (* 1 1) 1) (* (* (+ 2.0 (/ (sqrt 1.0) i)) (+ 2.0 (/ (sqrt 1.0) i))) (+ 2.0 (/ (sqrt 1.0) i)))) (* (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i))))) (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (* (* (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (+ 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (cbrt 1) (cbrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (cbrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (sqrt 1) (cbrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 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i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ (sqrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (sqrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (+ (* 2.0 2.0) (- (* (/ (sqrt 1.0) i) (/ (sqrt 1.0) i)) (* 2.0 (/ (sqrt 1.0) i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (- 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (- (pow 2.0 3) (pow (/ (sqrt 1.0) i) 3))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (- (* 2.0 2.0) (* (/ (sqrt 1.0) i) (/ (sqrt 1.0) i)))) (* (- 2.0 (/ (sqrt 1.0) i)) (+ 2.0 (/ (sqrt 1.0) i))) (- (+ (/ i (sqrt 1.0)) (* 4.0 (/ (pow i 3) (pow (sqrt 1.0) 3)))) (* 2.0 (/ (pow i 2) (pow (sqrt 1.0) 2)))) (- (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5) (* 0.25 (/ (sqrt 1.0) i))) (- (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5) (* 0.25 (/ (sqrt 1.0) i))) (- (+ (* 4.0 (/ (pow i 4) (pow (sqrt 1.0) 4))) (+ (/ (pow i 2) (pow (sqrt 1.0) 2)) (* 16.0 (/ (pow i 6) (pow (sqrt 1.0) 6)))))) (+ (* 0.015625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.0625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.25)) (+ (* 0.015625 (/ (pow (sqrt 1.0) 4) (pow i 4))) (+ (* 0.0625 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.25)) 10.859 * * [simplify]: iteration 0 : 293 enodes (cost 5985 ) 10.975 * * [simplify]: iteration 1 : 733 enodes (cost 5525 ) 11.302 * * [simplify]: iteration 2 : 2117 enodes (cost 5080 ) 12.026 * * [simplify]: iteration done : 5001 enodes (cost 5080 ) 12.028 * [simplify]: Simplified to: (expm1 (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (log1p (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) -1 (- (log (+ 2.0 (/ (sqrt 1.0) i)))) (- (log (+ 2.0 (/ 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(/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (+ (sqrt 2.0) (sqrt (/ (sqrt 1.0) i)))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (+ (sqrt 2.0) (/ (sqrt (sqrt 1.0)) (sqrt i)))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (+ (sqrt 2.0) (/ (sqrt (sqrt 1.0)) (sqrt i)))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ (- 2.0 (/ (sqrt 1.0) i)) (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i))))) (/ (- 2.0 (/ (sqrt 1.0) i)) (sqrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i))))) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (* (sqrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (* (sqrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (* (sqrt (+ 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (/ (- 2.0 (/ (sqrt 1.0) i)) (fma 2.0 2.0 (* (/ (sqrt 1.0) i) (- (/ (sqrt 1.0) i) 2.0)))) 1 (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (- (pow 2.0 3) (pow (/ (sqrt 1.0) i) 3))) (/ (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (- (* 2.0 2.0) (/ 1.0 (pow i 2)))) (fma 2.0 2.0 (- (/ 1.0 (pow i 2)))) (- (+ (/ i (sqrt 1.0)) (/ 4.0 (pow (/ (sqrt 1.0) i) 3))) (* 2.0 (/ i (/ 1.0 i)))) (fma 0.125 (/ (/ 1.0 i) i) (- 0.5 (* 0.25 (/ (sqrt 1.0) i)))) (fma 0.125 (/ (/ 1.0 i) i) (- 0.5 (* 0.25 (/ (sqrt 1.0) i)))) (- (fma (/ (pow i 4) (* 1.0 1.0)) 4.0 (fma (/ (pow i 6) (pow (sqrt 1.0) 6)) 16.0 (/ i (/ 1.0 i))))) (fma 0.015625 (/ (* 1.0 1.0) (pow i 4)) (fma 0.0625 (/ (/ 1.0 i) i) 0.25)) (fma 0.015625 (/ (* 1.0 1.0) (pow i 4)) (fma 0.0625 (/ (/ 1.0 i) i) 0.25)) 12.030 * * * [progress]: adding candidates to table 12.311 * * [progress]: iteration 4 / 4 12.311 * * * [progress]: picking best candidate 12.313 * * * * [pick]: Picked # 12.313 * * * [progress]: localizing error 12.324 * * * [progress]: generating rewritten candidates 12.324 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 12.345 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 12.364 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 12.463 * * * [progress]: generating series expansions 12.463 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 12.464 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in (i) around 0 12.464 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in i 12.464 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 12.464 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.464 * [taylor]: Taking taylor expansion of 1.0 in i 12.465 * [taylor]: Taking taylor expansion of i in i 12.465 * [taylor]: Taking taylor expansion of 2.0 in i 12.466 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ (sqrt 1.0) i) 2.0)) in i 12.466 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 12.466 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.466 * [taylor]: Taking taylor expansion of 1.0 in i 12.467 * [taylor]: Taking taylor expansion of i in i 12.468 * [taylor]: Taking taylor expansion of 2.0 in i 12.490 * [approximate]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in (i) around 0 12.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 12.490 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.490 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.490 * [taylor]: Taking taylor expansion of i in i 12.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.490 * [taylor]: Taking taylor expansion of 1.0 in i 12.490 * [taylor]: Taking taylor expansion of 2.0 in i 12.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 12.491 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.491 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.491 * [taylor]: Taking taylor expansion of i in i 12.491 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.491 * [taylor]: Taking taylor expansion of 1.0 in i 12.492 * [taylor]: Taking taylor expansion of 2.0 in i 12.506 * [approximate]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in (i) around 0 12.507 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 12.507 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.507 * [taylor]: Taking taylor expansion of 2.0 in i 12.507 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.507 * [taylor]: Taking taylor expansion of i in i 12.507 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.507 * [taylor]: Taking taylor expansion of 1.0 in i 12.508 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 12.508 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.508 * [taylor]: Taking taylor expansion of 2.0 in i 12.508 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.508 * [taylor]: Taking taylor expansion of i in i 12.508 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.508 * [taylor]: Taking taylor expansion of 1.0 in i 12.524 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 12.525 * [approximate]: Taking taylor expansion of (/ 1 (- 2.0 (/ (sqrt 1.0) i))) in (i) around 0 12.525 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (/ (sqrt 1.0) i))) in i 12.525 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 12.525 * [taylor]: Taking taylor expansion of 2.0 in i 12.525 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.525 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.525 * [taylor]: Taking taylor expansion of 1.0 in i 12.525 * [taylor]: Taking taylor expansion of i in i 12.529 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (/ (sqrt 1.0) i))) in i 12.529 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 12.529 * [taylor]: Taking taylor expansion of 2.0 in i 12.529 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.529 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.529 * [taylor]: Taking taylor expansion of 1.0 in i 12.529 * [taylor]: Taking taylor expansion of i in i 12.559 * [approximate]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in (i) around 0 12.559 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 12.559 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.559 * [taylor]: Taking taylor expansion of 2.0 in i 12.559 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.559 * [taylor]: Taking taylor expansion of i in i 12.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.559 * [taylor]: Taking taylor expansion of 1.0 in i 12.561 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (* i (sqrt 1.0)))) in i 12.561 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.561 * [taylor]: Taking taylor expansion of 2.0 in i 12.561 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.561 * [taylor]: Taking taylor expansion of i in i 12.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.561 * [taylor]: Taking taylor expansion of 1.0 in i 12.577 * [approximate]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in (i) around 0 12.577 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 12.577 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.577 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.577 * [taylor]: Taking taylor expansion of i in i 12.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.577 * [taylor]: Taking taylor expansion of 1.0 in i 12.578 * [taylor]: Taking taylor expansion of 2.0 in i 12.579 * [taylor]: Taking taylor expansion of (/ 1 (+ (* i (sqrt 1.0)) 2.0)) in i 12.579 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.579 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.579 * [taylor]: Taking taylor expansion of i in i 12.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.579 * [taylor]: Taking taylor expansion of 1.0 in i 12.580 * [taylor]: Taking taylor expansion of 2.0 in i 12.594 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 12.594 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in (i) around 0 12.594 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in i 12.594 * [taylor]: Taking taylor expansion of (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i))) in i 12.594 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 12.594 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.594 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.594 * [taylor]: Taking taylor expansion of 1.0 in i 12.595 * [taylor]: Taking taylor expansion of i in i 12.596 * [taylor]: Taking taylor expansion of 2.0 in i 12.596 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 12.596 * [taylor]: Taking taylor expansion of 2.0 in i 12.596 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.596 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.596 * [taylor]: Taking taylor expansion of 1.0 in i 12.596 * [taylor]: Taking taylor expansion of i in i 12.601 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i)))) in i 12.601 * [taylor]: Taking taylor expansion of (* (+ (/ (sqrt 1.0) i) 2.0) (- 2.0 (/ (sqrt 1.0) i))) in i 12.601 * [taylor]: Taking taylor expansion of (+ (/ (sqrt 1.0) i) 2.0) in i 12.601 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.601 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.601 * [taylor]: Taking taylor expansion of 1.0 in i 12.602 * [taylor]: Taking taylor expansion of i in i 12.603 * [taylor]: Taking taylor expansion of 2.0 in i 12.603 * [taylor]: Taking taylor expansion of (- 2.0 (/ (sqrt 1.0) i)) in i 12.603 * [taylor]: Taking taylor expansion of 2.0 in i 12.603 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) i) in i 12.603 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.603 * [taylor]: Taking taylor expansion of 1.0 in i 12.603 * [taylor]: Taking taylor expansion of i in i 12.657 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in (i) around 0 12.658 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 12.658 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 12.658 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.658 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.658 * [taylor]: Taking taylor expansion of i in i 12.658 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.658 * [taylor]: Taking taylor expansion of 1.0 in i 12.658 * [taylor]: Taking taylor expansion of 2.0 in i 12.658 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.658 * [taylor]: Taking taylor expansion of 2.0 in i 12.658 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.658 * [taylor]: Taking taylor expansion of i in i 12.658 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.658 * [taylor]: Taking taylor expansion of 1.0 in i 12.661 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 12.661 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 12.661 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.661 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.661 * [taylor]: Taking taylor expansion of i in i 12.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.661 * [taylor]: Taking taylor expansion of 1.0 in i 12.662 * [taylor]: Taking taylor expansion of 2.0 in i 12.662 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.662 * [taylor]: Taking taylor expansion of 2.0 in i 12.662 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.662 * [taylor]: Taking taylor expansion of i in i 12.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.662 * [taylor]: Taking taylor expansion of 1.0 in i 12.705 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in (i) around 0 12.705 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 12.705 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 12.705 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.705 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.705 * [taylor]: Taking taylor expansion of i in i 12.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.705 * [taylor]: Taking taylor expansion of 1.0 in i 12.706 * [taylor]: Taking taylor expansion of 2.0 in i 12.706 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.706 * [taylor]: Taking taylor expansion of 2.0 in i 12.706 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.706 * [taylor]: Taking taylor expansion of i in i 12.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.706 * [taylor]: Taking taylor expansion of 1.0 in i 12.708 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0))))) in i 12.708 * [taylor]: Taking taylor expansion of (* (+ (* i (sqrt 1.0)) 2.0) (- 2.0 (* i (sqrt 1.0)))) in i 12.708 * [taylor]: Taking taylor expansion of (+ (* i (sqrt 1.0)) 2.0) in i 12.708 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.708 * [taylor]: Taking taylor expansion of i in i 12.708 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.708 * [taylor]: Taking taylor expansion of 1.0 in i 12.709 * [taylor]: Taking taylor expansion of 2.0 in i 12.709 * [taylor]: Taking taylor expansion of (- 2.0 (* i (sqrt 1.0))) in i 12.709 * [taylor]: Taking taylor expansion of 2.0 in i 12.709 * [taylor]: Taking taylor expansion of (* i (sqrt 1.0)) in i 12.709 * [taylor]: Taking taylor expansion of i in i 12.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 12.709 * [taylor]: Taking taylor expansion of 1.0 in i 12.748 * * * [progress]: simplifying candidates 12.751 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (log1p (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (log (+ 2.0 (/ (sqrt 1.0) i)))) (- 0 (log (+ 2.0 (/ (sqrt 1.0) i)))) (- (log 1) (log (+ 2.0 (/ (sqrt 1.0) i)))) (log (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (exp (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (* 1 1) 1) (* (* (+ 2.0 (/ (sqrt 1.0) i)) (+ 2.0 (/ (sqrt 1.0) i))) (+ 2.0 (/ (sqrt 1.0) i)))) (* (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i))))) (cbrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (* (* (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (+ 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (+ 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (cbrt 1) (cbrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (cbrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ (sqrt 1) (cbrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ 1 (cbrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 1) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 1) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ (+ 2.0 (/ (sqrt 1.0) i)) 1) (/ 1 (* (cbrt (+ 2.0 (/ (sqrt 1.0) i))) (cbrt (+ 2.0 (/ (sqrt 1.0) i))))) (/ 1 (sqrt (+ 2.0 (/ (sqrt 1.0) i)))) (/ 1 1) (/ 1 1) (/ (+ 2.0 (/ (sqrt 1.0) i)) (cbrt 1)) (/ (+ 2.0 (/ (sqrt 1.0) i)) (sqrt 1)) (/ (+ 2.0 (/ (sqrt 1.0) i)) 1) (/ 1 (+ (pow 2.0 3) (pow (/ (sqrt 1.0) i) 3))) (/ 1 (- (* 2.0 2.0) (* (/ (sqrt 1.0) i) (/ (sqrt 1.0) i)))) (expm1 (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (log1p (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (log (- 2.0 (/ (sqrt 1.0) i)))) (- 0 (log (- 2.0 (/ (sqrt 1.0) i)))) (- (log 1) (log (- 2.0 (/ (sqrt 1.0) i)))) (log (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (exp (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (/ (* (* 1 1) 1) (* (* (- 2.0 (/ (sqrt 1.0) i)) (- 2.0 (/ (sqrt 1.0) i))) (- 2.0 (/ (sqrt 1.0) i)))) (* (cbrt (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (cbrt (/ 1 (- 2.0 (/ (sqrt 1.0) i))))) (cbrt (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (* (* (/ 1 (- 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (sqrt (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (- 1) (- (- 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- 2.0 (/ (sqrt 1.0) i))) (cbrt (- 2.0 (/ (sqrt 1.0) i))))) (/ (cbrt 1) (cbrt (- 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- 2.0 (/ (sqrt 1.0) i)))) (/ (cbrt 1) (sqrt (- 2.0 (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- 2.0 (/ (sqrt 1.0) i))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 2.0) (sqrt (/ (sqrt 1.0) i)))) (/ (cbrt 1) (- (sqrt 2.0) (sqrt (/ (sqrt 1.0) i)))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt 2.0) (/ (sqrt (sqrt 1.0)) (sqrt i)))) (/ 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(* (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (* (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (* (+ (* 2.0 2.0) (- (* (/ (sqrt 1.0) i) (/ (sqrt 1.0) i)) (* 2.0 (/ (sqrt 1.0) i)))) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (* (- 2.0 (/ (sqrt 1.0) i)) (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (* (/ 1 (+ 2.0 (/ (sqrt 1.0) i))) 1) (* 1 (/ 1 (- 2.0 (/ (sqrt 1.0) i)))) (- (+ (/ i (sqrt 1.0)) (* 4.0 (/ (pow i 3) (pow (sqrt 1.0) 3)))) (* 2.0 (/ (pow i 2) (pow (sqrt 1.0) 2)))) (- (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5) (* 0.25 (/ (sqrt 1.0) i))) (- (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5) (* 0.25 (/ (sqrt 1.0) i))) (- (+ (/ i (sqrt 1.0)) (+ (* 4.0 (/ (pow i 3) (pow (sqrt 1.0) 3))) (* 2.0 (/ (pow i 2) (pow (sqrt 1.0) 2)))))) (+ (* 0.25 (/ (sqrt 1.0) i)) (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5)) (+ (* 0.25 (/ (sqrt 1.0) i)) (+ (* 0.125 (/ (pow (sqrt 1.0) 2) (pow i 2))) 0.5)) (- (+ (* 4.0 (/ (pow i 4) (pow (sqrt 1.0) 4))) (+ (/ (pow i 2) (pow (sqrt 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0.25 (fma 0.125 (/ 1.0 (pow i 2)) 0.5)) (- (fma 4.0 (/ (pow i 4) (* 1.0 1.0)) (fma 16.0 (/ (pow i 6) (pow (sqrt 1.0) 6)) (/ (pow i 2) 1.0)))) (fma (/ 1.0 (/ (pow i 4) 1.0)) 0.015625 (fma (/ (/ 1.0 i) i) 0.0625 0.25)) (fma (/ 1.0 (/ (pow i 4) 1.0)) 0.015625 (fma (/ (/ 1.0 i) i) 0.0625 0.25)) 15.426 * * * [progress]: adding candidates to table 15.715 * [progress]: [Phase 3 of 3] Extracting. 15.715 * * [regime]: Finding splitpoints for: (# # #) 15.716 * * * [regime-changes]: Trying 1 branch expressions: (i) 15.716 * * * * [regimes]: Trying to branch on i from (# # #) 15.728 * * * [regime]: Found split indices: #