15.683 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.453 * * * [progress]: [2/2] Setting up program. 0.458 * [progress]: [Phase 2 of 3] Improving. 0.458 * [simplify]: Simplifying using # : (+ (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) (- (sqrt (+ t 1.0)) (sqrt t))) 0.459 * * [simplify]: iteration 0 : 24 enodes (cost 31 ) 0.462 * * [simplify]: iteration 1 : 51 enodes (cost 31 ) 0.469 * * [simplify]: iteration 2 : 154 enodes (cost 31 ) 0.502 * * [simplify]: iteration 3 : 879 enodes (cost 31 ) 0.721 * * [simplify]: iteration done : 5000 enodes (cost 31 ) 0.721 * [simplify]: Simplified to: (+ (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) (- (sqrt (+ t 1.0)) (sqrt t))) 0.721 * * [progress]: iteration 1 / 4 0.721 * * * [progress]: picking best candidate 0.726 * * * * [pick]: Picked # 0.726 * * * [progress]: localizing error 0.750 * * * [progress]: generating rewritten candidates 0.750 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.806 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.874 * * * [progress]: generating series expansions 0.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.874 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 0.874 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.878 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of 1.0 in y 0.880 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.899 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 0.899 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 1.0 in y 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 1.0 in y 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.925 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 0.925 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.925 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.925 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.926 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.926 * [taylor]: Taking taylor expansion of -1 in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.928 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.928 * [taylor]: Taking taylor expansion of 1.0 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.929 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.929 * [taylor]: Taking taylor expansion of -1 in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.945 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.945 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 0.945 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.945 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.945 * [taylor]: Taking taylor expansion of t in t 0.945 * [taylor]: Taking taylor expansion of 1.0 in t 0.947 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.947 * [taylor]: Taking taylor expansion of t in t 0.948 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.948 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.948 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.948 * [taylor]: Taking taylor expansion of t in t 0.948 * [taylor]: Taking taylor expansion of 1.0 in t 0.950 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.950 * [taylor]: Taking taylor expansion of t in t 0.970 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 0.970 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.970 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.970 * [taylor]: Taking taylor expansion of t in t 0.970 * [taylor]: Taking taylor expansion of 1.0 in t 0.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.971 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.971 * [taylor]: Taking taylor expansion of t in t 0.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.972 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.973 * [taylor]: Taking taylor expansion of t in t 0.973 * [taylor]: Taking taylor expansion of 1.0 in t 0.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.974 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.974 * [taylor]: Taking taylor expansion of t in t 0.989 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 0.990 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.990 * [taylor]: Taking taylor expansion of 1.0 in t 0.990 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.990 * [taylor]: Taking taylor expansion of t in t 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.991 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.991 * [taylor]: Taking taylor expansion of -1 in t 0.991 * [taylor]: Taking taylor expansion of t in t 0.993 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.993 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.993 * [taylor]: Taking taylor expansion of 1.0 in t 0.993 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.993 * [taylor]: Taking taylor expansion of t in t 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.994 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.994 * [taylor]: Taking taylor expansion of -1 in t 0.994 * [taylor]: Taking taylor expansion of t in t 1.016 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 1.016 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 1.016 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 1.016 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 1.016 * [taylor]: Taking taylor expansion of z in z 1.016 * [taylor]: Taking taylor expansion of 1.0 in z 1.018 * [taylor]: Taking taylor expansion of (sqrt z) in z 1.018 * [taylor]: Taking taylor expansion of z in z 1.019 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 1.019 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 1.019 * [taylor]: Taking taylor expansion of z in z 1.019 * [taylor]: Taking taylor expansion of 1.0 in z 1.021 * [taylor]: Taking taylor expansion of (sqrt z) in z 1.021 * [taylor]: Taking taylor expansion of z in z 1.040 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 1.040 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 1.040 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.040 * [taylor]: Taking taylor expansion of z in z 1.040 * [taylor]: Taking taylor expansion of 1.0 in z 1.042 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 1.042 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.042 * [taylor]: Taking taylor expansion of z in z 1.043 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 1.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 1.043 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 1.043 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.043 * [taylor]: Taking taylor expansion of z in z 1.043 * [taylor]: Taking taylor expansion of 1.0 in z 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 1.044 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.044 * [taylor]: Taking taylor expansion of z in z 1.060 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 1.060 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 1.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 1.060 * [taylor]: Taking taylor expansion of 1.0 in z 1.060 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.060 * [taylor]: Taking taylor expansion of z in z 1.062 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 1.062 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.062 * [taylor]: Taking taylor expansion of -1 in z 1.062 * [taylor]: Taking taylor expansion of z in z 1.063 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 1.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 1.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 1.063 * [taylor]: Taking taylor expansion of 1.0 in z 1.063 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.063 * [taylor]: Taking taylor expansion of z in z 1.065 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 1.065 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.065 * [taylor]: Taking taylor expansion of -1 in z 1.065 * [taylor]: Taking taylor expansion of z in z 1.086 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.086 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.086 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.110 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 1.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.110 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.130 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 1.131 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.132 * [taylor]: Taking taylor expansion of -1 in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.135 * [taylor]: Taking taylor expansion of -1 in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.151 * * * [progress]: simplifying candidates 1.156 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (sqrt 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iteration 2 / 4 2.892 * * * [progress]: picking best candidate 2.970 * * * * [pick]: Picked # 2.970 * * * [progress]: localizing error 2.996 * * * [progress]: generating rewritten candidates 2.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.022 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.113 * * * [progress]: generating series expansions 3.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.113 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 3.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.113 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.113 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.113 * [taylor]: Taking taylor expansion of t in t 3.113 * [taylor]: Taking taylor expansion of 1.0 in t 3.115 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.115 * [taylor]: Taking taylor expansion of t in t 3.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.116 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.116 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.116 * [taylor]: Taking taylor expansion of t in t 3.116 * [taylor]: Taking taylor expansion of 1.0 in t 3.118 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.118 * [taylor]: Taking taylor expansion of t in t 3.138 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 3.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.138 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.138 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.138 * [taylor]: Taking taylor expansion of t in t 3.139 * [taylor]: Taking taylor expansion of 1.0 in t 3.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.140 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.140 * [taylor]: Taking taylor expansion of t in t 3.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.141 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.141 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.141 * [taylor]: Taking taylor expansion of t in t 3.141 * [taylor]: Taking taylor expansion of 1.0 in t 3.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.143 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.143 * [taylor]: Taking taylor expansion of t in t 3.158 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.158 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.158 * [taylor]: Taking taylor expansion of 1.0 in t 3.158 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.158 * [taylor]: Taking taylor expansion of t in t 3.160 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.160 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.160 * [taylor]: Taking taylor expansion of -1 in t 3.160 * [taylor]: Taking taylor expansion of t in t 3.161 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.161 * [taylor]: Taking taylor expansion of 1.0 in t 3.161 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.161 * [taylor]: Taking taylor expansion of t in t 3.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.163 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.163 * [taylor]: Taking taylor expansion of -1 in t 3.163 * [taylor]: Taking taylor expansion of t in t 3.179 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.179 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * [taylor]: Taking taylor expansion of 1.0 in y 3.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.179 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 3.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.179 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.179 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.179 * [taylor]: Taking taylor expansion of z in z 3.179 * [taylor]: Taking taylor expansion of 1.0 in z 3.181 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.181 * [taylor]: Taking taylor expansion of z in z 3.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.182 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.182 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.182 * [taylor]: Taking taylor expansion of z in z 3.183 * [taylor]: Taking taylor expansion of 1.0 in z 3.184 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.184 * [taylor]: Taking taylor expansion of z in z 3.209 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 3.209 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.209 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.209 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.209 * [taylor]: Taking taylor expansion of z in z 3.210 * [taylor]: Taking taylor expansion of 1.0 in z 3.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.211 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.211 * [taylor]: Taking taylor expansion of z in z 3.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.212 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.212 * [taylor]: Taking taylor expansion of z in z 3.212 * [taylor]: Taking taylor expansion of 1.0 in z 3.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.214 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.214 * [taylor]: Taking taylor expansion of z in z 3.229 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 3.229 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.229 * [taylor]: Taking taylor expansion of 1.0 in z 3.229 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.229 * [taylor]: Taking taylor expansion of z in z 3.231 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.231 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.231 * [taylor]: Taking taylor expansion of -1 in z 3.231 * [taylor]: Taking taylor expansion of z in z 3.233 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.233 * [taylor]: Taking taylor expansion of 1.0 in z 3.233 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.233 * [taylor]: Taking taylor expansion of z in z 3.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.235 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.235 * [taylor]: Taking taylor expansion of -1 in z 3.235 * [taylor]: Taking taylor expansion of z in z 3.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.251 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.251 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.253 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.253 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.253 * [taylor]: Taking taylor expansion of 1.0 in x 3.255 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.255 * [taylor]: Taking taylor expansion of x in x 3.280 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.280 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.280 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.280 * [taylor]: Taking taylor expansion of 1.0 in x 3.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.280 * [taylor]: Taking taylor expansion of x in x 3.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.283 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.283 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.283 * [taylor]: Taking taylor expansion of 1.0 in x 3.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.284 * [taylor]: Taking taylor expansion of x in x 3.300 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.300 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.300 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.300 * [taylor]: Taking taylor expansion of 1.0 in x 3.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.301 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.301 * [taylor]: Taking taylor expansion of -1 in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.303 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.303 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.304 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.304 * [taylor]: Taking taylor expansion of -1 in x 3.304 * [taylor]: Taking taylor expansion of x in x 3.320 * * * [progress]: simplifying candidates 3.324 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma 1 (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt 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t) (- (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))) (* +nan.0 (pow t 2))))) (- (+ (* +nan.0 (/ 1 t)) (- (+ (* +nan.0 (/ 1 (pow t 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 t)) (- (+ (* +nan.0 (/ 1 (pow t 2))) (- +nan.0))))) 1.0 1.0 1.0 (- (+ (* 1/2 (/ z (sqrt 1.0))) (sqrt 1.0)) (+ (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow z 2)) (- (* +nan.0 z)))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.345 * * [simplify]: iteration 0 : 389 enodes (cost 5903 ) 3.402 * * [simplify]: iteration 1 : 861 enodes (cost 4281 ) 3.558 * * [simplify]: iteration 2 : 2561 enodes (cost 3193 ) 4.275 * * [simplify]: iteration done 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(* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt x) 0) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ x 1.0) (fma (sqrt x) (sqrt (+ x 1.0)) x)) (- (sqrt x)) (- (+ x 1.0) x) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma +nan.0 t (- (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))) (* +nan.0 (pow t 2))))) (- (- (/ (/ +nan.0 t) t) +nan.0) (/ +nan.0 t)) (- (- (/ (/ +nan.0 t) t) +nan.0) (/ +nan.0 t)) 1.0 1.0 1.0 (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (- (- (/ +nan.0 (pow z 2)) +nan.0) (/ +nan.0 z)) (- (- (/ +nan.0 (pow z 2)) +nan.0) (/ +nan.0 z)) (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma +nan.0 (pow x 2) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 4.278 * * * [progress]: adding candidates to table 4.996 * * [progress]: iteration 3 / 4 4.996 * * * [progress]: picking best candidate 5.064 * * * * [pick]: Picked # 5.064 * * * [progress]: localizing error 5.090 * * * [progress]: generating rewritten candidates 5.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.208 * * * [progress]: generating series expansions 5.208 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.209 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 5.209 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 5.209 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 5.209 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 5.209 * [taylor]: Taking taylor expansion of t in t 5.209 * [taylor]: Taking taylor expansion of 1.0 in t 5.211 * [taylor]: Taking taylor expansion of (sqrt t) in t 5.211 * [taylor]: Taking taylor expansion of t in t 5.212 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 5.212 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 5.212 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 5.212 * [taylor]: Taking taylor expansion of t in t 5.212 * [taylor]: Taking taylor expansion of 1.0 in t 5.214 * [taylor]: Taking taylor expansion of (sqrt t) in t 5.214 * [taylor]: Taking taylor expansion of t in t 5.234 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 5.234 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 5.234 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 5.234 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 5.234 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.234 * [taylor]: Taking taylor expansion of t in t 5.235 * [taylor]: Taking taylor expansion of 1.0 in t 5.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 5.236 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.236 * [taylor]: Taking taylor expansion of t in t 5.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 5.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 5.237 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 5.237 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.237 * [taylor]: Taking taylor expansion of t in t 5.238 * [taylor]: Taking taylor expansion of 1.0 in t 5.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 5.239 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.239 * [taylor]: Taking taylor expansion of t in t 5.254 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 5.254 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 5.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 5.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 5.254 * [taylor]: Taking taylor expansion of 1.0 in t 5.254 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.254 * [taylor]: Taking taylor expansion of t in t 5.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 5.256 * [taylor]: Taking taylor expansion of (/ -1 t) in t 5.256 * [taylor]: Taking taylor expansion of -1 in t 5.256 * [taylor]: Taking taylor expansion of t in t 5.257 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 5.257 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 5.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 5.257 * [taylor]: Taking taylor expansion of 1.0 in t 5.257 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.257 * [taylor]: Taking taylor expansion of t in t 5.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 5.259 * [taylor]: Taking taylor expansion of (/ -1 t) in t 5.259 * [taylor]: Taking taylor expansion of -1 in t 5.259 * [taylor]: Taking taylor expansion of t in t 5.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.281 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 5.281 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 5.281 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.281 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.281 * [taylor]: Taking taylor expansion of z in z 5.281 * [taylor]: Taking taylor expansion of 1.0 in z 5.282 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.283 * [taylor]: Taking taylor expansion of z in z 5.284 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 5.284 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.284 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.284 * [taylor]: Taking taylor expansion of z in z 5.284 * [taylor]: Taking taylor expansion of 1.0 in z 5.285 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.285 * [taylor]: Taking taylor expansion of z in z 5.305 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 5.305 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 5.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.305 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.305 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.305 * [taylor]: Taking taylor expansion of z in z 5.305 * [taylor]: Taking taylor expansion of 1.0 in z 5.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.306 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.306 * [taylor]: Taking taylor expansion of z in z 5.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 5.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.308 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.308 * [taylor]: Taking taylor expansion of z in z 5.308 * [taylor]: Taking taylor expansion of 1.0 in z 5.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.309 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.309 * [taylor]: Taking taylor expansion of z in z 5.324 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 5.324 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.324 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.324 * [taylor]: Taking taylor expansion of 1.0 in z 5.324 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.324 * [taylor]: Taking taylor expansion of z in z 5.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.326 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.326 * [taylor]: Taking taylor expansion of -1 in z 5.326 * [taylor]: Taking taylor expansion of z in z 5.328 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.328 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.328 * [taylor]: Taking taylor expansion of 1.0 in z 5.328 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.328 * [taylor]: Taking taylor expansion of z in z 5.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.329 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.329 * [taylor]: Taking taylor expansion of -1 in z 5.329 * [taylor]: Taking taylor expansion of z in z 5.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.345 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 5.345 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 5.345 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.345 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.345 * [taylor]: Taking taylor expansion of x in x 5.345 * [taylor]: Taking taylor expansion of 1.0 in x 5.347 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.347 * [taylor]: Taking taylor expansion of x in x 5.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 5.348 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.348 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.348 * [taylor]: Taking taylor expansion of x in x 5.348 * [taylor]: Taking taylor expansion of 1.0 in x 5.354 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.354 * [taylor]: Taking taylor expansion of x in x 5.374 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 5.374 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 5.374 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.374 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.374 * [taylor]: Taking taylor expansion of 1.0 in x 5.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.374 * [taylor]: Taking taylor expansion of x in x 5.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.375 * [taylor]: Taking taylor expansion of x in x 5.377 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 5.377 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.377 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.377 * [taylor]: Taking taylor expansion of 1.0 in x 5.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.377 * [taylor]: Taking taylor expansion of x in x 5.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.394 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 5.394 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.394 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.394 * [taylor]: Taking taylor expansion of 1.0 in x 5.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.394 * [taylor]: Taking taylor expansion of x in x 5.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.395 * [taylor]: Taking taylor expansion of -1 in x 5.395 * [taylor]: Taking taylor expansion of x in x 5.397 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.397 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.397 * [taylor]: Taking taylor expansion of 1.0 in x 5.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.397 * [taylor]: Taking taylor expansion of x in x 5.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.398 * [taylor]: Taking taylor expansion of -1 in x 5.398 * [taylor]: Taking taylor expansion of x in x 5.414 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.414 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 5.414 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 5.414 * [taylor]: Taking taylor expansion of 1.0 in y 5.414 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 5.414 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.414 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.414 * [taylor]: Taking taylor expansion of y in y 5.414 * [taylor]: Taking taylor expansion of 1.0 in y 5.416 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.416 * [taylor]: Taking taylor expansion of y in y 5.418 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 5.418 * [taylor]: Taking taylor expansion of 1.0 in y 5.418 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 5.418 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.418 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.418 * [taylor]: Taking taylor expansion of y in y 5.418 * [taylor]: Taking taylor expansion of 1.0 in y 5.420 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.420 * [taylor]: Taking taylor expansion of y in y 5.497 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 5.497 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 5.497 * [taylor]: Taking taylor expansion of 1.0 in y 5.497 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 5.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.497 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.497 * [taylor]: Taking taylor expansion of y in y 5.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.498 * [taylor]: Taking taylor expansion of y in y 5.499 * [taylor]: Taking taylor expansion of 1.0 in y 5.501 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 5.501 * [taylor]: Taking taylor expansion of 1.0 in y 5.501 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 5.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.501 * [taylor]: Taking taylor expansion of y in y 5.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.502 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.502 * [taylor]: Taking taylor expansion of y in y 5.502 * [taylor]: Taking taylor expansion of 1.0 in y 5.528 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 5.528 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.528 * [taylor]: Taking taylor expansion of 1.0 in y 5.528 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.528 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.528 * [taylor]: Taking taylor expansion of -1 in y 5.528 * [taylor]: Taking taylor expansion of y in y 5.529 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.530 * [taylor]: Taking taylor expansion of 1.0 in y 5.530 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.530 * [taylor]: Taking taylor expansion of y in y 5.532 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.532 * [taylor]: Taking taylor expansion of 1.0 in y 5.533 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.533 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.533 * [taylor]: Taking taylor expansion of -1 in y 5.533 * [taylor]: Taking taylor expansion of y in y 5.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.534 * [taylor]: Taking taylor expansion of 1.0 in y 5.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.534 * [taylor]: Taking taylor expansion of y in y 5.555 * * * [progress]: simplifying candidates 5.559 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 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1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (fabs (cbrt x))))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs 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(* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (* (sqrt (cbrt x)) (fabs (cbrt x)))) (* (fabs (cbrt x)) (+ (- (sqrt (cbrt x))) (sqrt (cbrt x)))) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (- (sqrt (+ 1.0 x)) (sqrt x)) (* (sqrt x) 0) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (fma (sqrt (+ 1.0 x)) (sqrt x) x) (+ 1.0 x)) (- (sqrt x)) (- (+ x 1.0) x) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt (+ 1.0 x)) (sqrt x)) (- (sqrt x)) (expm1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log1p (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (exp (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (pow (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))))) (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (pow (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 3) (sqrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (- 1.0) (- (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (cbrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (sqrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (fma (sqrt y) y (pow (sqrt (+ y 1.0)) 3))) (/ 1.0 (- (+ 1.0 y) y)) (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma +nan.0 t (- (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))) (* +nan.0 (pow t 2))))) (- (- (/ +nan.0 (pow t 2)) +nan.0) (/ +nan.0 t)) (- (- (/ +nan.0 (pow t 2)) +nan.0) (/ +nan.0 t)) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (- (- (/ +nan.0 (pow z 2)) +nan.0) (/ +nan.0 z)) (- (- (/ +nan.0 (pow z 2)) +nan.0) (/ +nan.0 z)) (- (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma +nan.0 (pow x 2) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (+ (- (fma (/ (pow y 2) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (fma +nan.0 (/ y 1.0) (* 0.5 (/ y (pow (sqrt 1.0) 3))))) (- (* +nan.0 (/ (pow y 2) 1.0)) (* +nan.0 (- (/ (pow y 2) (pow (sqrt 1.0) 3)) (/ (pow y 2) (* 1.0 1.0)))))) (- (- (/ (/ +nan.0 y) y) +nan.0) (/ +nan.0 y)) (- (- (/ (/ +nan.0 y) y) +nan.0) (/ +nan.0 y)) 6.652 * * * [progress]: adding candidates to table 7.433 * * [progress]: iteration 4 / 4 7.433 * * * [progress]: picking best candidate 7.525 * * * * [pick]: Picked # 7.525 * * * [progress]: localizing error 7.559 * * * [progress]: generating rewritten candidates 7.559 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.586 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 7.616 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 7.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 7.670 * * * [progress]: generating series expansions 7.670 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.670 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 7.670 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 7.671 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 7.671 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 7.671 * [taylor]: Taking taylor expansion of t in t 7.671 * [taylor]: Taking taylor expansion of 1.0 in t 7.673 * [taylor]: Taking taylor expansion of (sqrt t) in t 7.673 * [taylor]: Taking taylor expansion of t in t 7.674 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 7.674 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 7.674 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 7.674 * [taylor]: Taking taylor expansion of t in t 7.674 * [taylor]: Taking taylor expansion of 1.0 in t 7.676 * [taylor]: Taking taylor expansion of (sqrt t) in t 7.676 * [taylor]: Taking taylor expansion of t in t 7.701 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 7.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 7.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 7.701 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 7.701 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.701 * [taylor]: Taking taylor expansion of t in t 7.701 * [taylor]: Taking taylor expansion of 1.0 in t 7.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 7.703 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.703 * [taylor]: Taking taylor expansion of t in t 7.704 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 7.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 7.704 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.704 * [taylor]: Taking taylor expansion of t in t 7.704 * [taylor]: Taking taylor expansion of 1.0 in t 7.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 7.706 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.706 * [taylor]: Taking taylor expansion of t in t 7.721 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 7.721 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 7.721 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 7.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 7.721 * [taylor]: Taking taylor expansion of 1.0 in t 7.721 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.721 * [taylor]: Taking taylor expansion of t in t 7.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 7.723 * [taylor]: Taking taylor expansion of (/ -1 t) in t 7.723 * [taylor]: Taking taylor expansion of -1 in t 7.723 * [taylor]: Taking taylor expansion of t in t 7.724 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 7.724 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 7.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 7.724 * [taylor]: Taking taylor expansion of 1.0 in t 7.724 * [taylor]: Taking taylor expansion of (/ 1 t) in t 7.724 * [taylor]: Taking taylor expansion of t in t 7.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 7.726 * [taylor]: Taking taylor expansion of (/ -1 t) in t 7.726 * [taylor]: Taking taylor expansion of -1 in t 7.726 * [taylor]: Taking taylor expansion of t in t 7.742 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 7.742 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 7.742 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 7.742 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.742 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.742 * [taylor]: Taking taylor expansion of x in x 7.742 * [taylor]: Taking taylor expansion of 1.0 in x 7.744 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.744 * [taylor]: Taking taylor expansion of x in x 7.745 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 7.745 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.745 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.745 * [taylor]: Taking taylor expansion of x in x 7.745 * [taylor]: Taking taylor expansion of 1.0 in x 7.747 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.747 * [taylor]: Taking taylor expansion of x in x 7.766 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 7.766 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 7.766 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.766 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.766 * [taylor]: Taking taylor expansion of 1.0 in x 7.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.766 * [taylor]: Taking taylor expansion of x in x 7.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.768 * [taylor]: Taking taylor expansion of x in x 7.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 7.775 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.775 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.775 * [taylor]: Taking taylor expansion of 1.0 in x 7.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.775 * [taylor]: Taking taylor expansion of x in x 7.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.776 * [taylor]: Taking taylor expansion of x in x 7.792 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 7.792 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.792 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.792 * [taylor]: Taking taylor expansion of 1.0 in x 7.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.792 * [taylor]: Taking taylor expansion of x in x 7.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.794 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.794 * [taylor]: Taking taylor expansion of -1 in x 7.794 * [taylor]: Taking taylor expansion of x in x 7.795 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.795 * [taylor]: Taking taylor expansion of 1.0 in x 7.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.795 * [taylor]: Taking taylor expansion of x in x 7.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.797 * [taylor]: Taking taylor expansion of -1 in x 7.797 * [taylor]: Taking taylor expansion of x in x 7.812 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 7.813 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * [taylor]: Taking taylor expansion of 1.0 in z 7.813 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 7.813 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 7.813 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 7.813 * [taylor]: Taking taylor expansion of 1.0 in y 7.813 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 7.813 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 7.813 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 7.813 * [taylor]: Taking taylor expansion of y in y 7.813 * [taylor]: Taking taylor expansion of 1.0 in y 7.815 * [taylor]: Taking taylor expansion of (sqrt y) in y 7.815 * [taylor]: Taking taylor expansion of y in y 7.817 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 7.817 * [taylor]: Taking taylor expansion of 1.0 in y 7.817 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 7.817 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 7.817 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 7.817 * [taylor]: Taking taylor expansion of y in y 7.817 * [taylor]: Taking taylor expansion of 1.0 in y 7.819 * [taylor]: Taking taylor expansion of (sqrt y) in y 7.819 * [taylor]: Taking taylor expansion of y in y 8.105 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 8.105 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 8.105 * [taylor]: Taking taylor expansion of 1.0 in y 8.105 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 8.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 8.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.105 * [taylor]: Taking taylor expansion of y in y 8.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 8.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 8.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.107 * [taylor]: Taking taylor expansion of y in y 8.107 * [taylor]: Taking taylor expansion of 1.0 in y 8.109 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 8.109 * [taylor]: Taking taylor expansion of 1.0 in y 8.109 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 8.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 8.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.109 * [taylor]: Taking taylor expansion of y in y 8.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 8.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 8.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.111 * [taylor]: Taking taylor expansion of y in y 8.111 * [taylor]: Taking taylor expansion of 1.0 in y 8.131 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 8.131 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 8.131 * [taylor]: Taking taylor expansion of 1.0 in y 8.131 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 8.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 8.131 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.131 * [taylor]: Taking taylor expansion of -1 in y 8.131 * [taylor]: Taking taylor expansion of y in y 8.132 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 8.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 8.132 * [taylor]: Taking taylor expansion of 1.0 in y 8.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.132 * [taylor]: Taking taylor expansion of y in y 8.135 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 8.135 * [taylor]: Taking taylor expansion of 1.0 in y 8.135 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 8.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 8.135 * [taylor]: Taking taylor expansion of (/ -1 y) in y 8.135 * [taylor]: Taking taylor expansion of -1 in y 8.135 * [taylor]: Taking taylor expansion of y in y 8.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 8.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 8.136 * [taylor]: Taking taylor expansion of 1.0 in y 8.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.136 * [taylor]: Taking taylor expansion of y in y 8.160 * * * [progress]: simplifying candidates 8.164 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma 1 (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (expm1 (- (sqrt (+ t 1.0)) (sqrt t))) (log1p (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (/ (exp (sqrt (+ t 1.0))) (exp (sqrt t))) (log (- (sqrt (+ t 1.0)) (sqrt t))) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (* (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t)))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (* (* (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (* (sqrt (+ t 1.0)) (sqrt (+ t 1.0))) (+ (* (sqrt t) (sqrt t)) (* (sqrt (+ t 1.0)) (sqrt t)))) (- (sqrt t)) (- (* (sqrt (+ t 1.0)) (sqrt (+ t 1.0))) (* (sqrt t) (sqrt t))) (+ (sqrt (+ t 1.0)) (sqrt t)) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt t)) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt 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+nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.0 1.0 1.0 (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow y 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ y (pow (sqrt 1.0) 2))) (- (* 0.5 (/ y (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 4)))))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 8.181 * * [simplify]: iteration 0 : 383 enodes (cost 4831 ) 8.241 * * [simplify]: iteration 1 : 869 enodes (cost 3634 ) 8.423 * * [simplify]: iteration 2 : 2820 enodes (cost 2722 ) 9.293 * * [simplify]: iteration done : 5001 enodes (cost 2716 ) 9.295 * [simplify]: Simplified to: (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (sqrt t))) (* (sqrt t) 0) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (* (- 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(fma y (sqrt y) (pow (sqrt (+ y 1.0)) 3))) (/ 1.0 (- (+ y 1.0) y)) (- (fma (/ t (sqrt 1.0)) 1/2 (sqrt 1.0)) (fma +nan.0 t (- (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))) (* +nan.0 (pow t 2))))) (- (- (/ +nan.0 (pow t 2)) +nan.0) (/ +nan.0 t)) (- (- (/ +nan.0 (pow t 2)) +nan.0) (/ +nan.0 t)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 1.0 1.0 1.0 (- (fma (/ (pow y 2) (pow (sqrt 1.0) 5)) 0.375 (/ 1.0 (sqrt 1.0))) (+ (- (fma (/ y 1.0) +nan.0 (* 0.5 (/ y (pow (sqrt 1.0) 3)))) (/ (* +nan.0 (pow y 2)) 1.0)) (* +nan.0 (- (/ (pow y 2) (pow (sqrt 1.0) 3)) (/ (pow y 2) (* 1.0 1.0)))))) (- (- (/ +nan.0 (pow y 2)) +nan.0) (/ +nan.0 y)) (- (- (/ +nan.0 (pow y 2)) +nan.0) (/ +nan.0 y)) 9.297 * * * [progress]: adding candidates to table 10.039 * [progress]: [Phase 3 of 3] Extracting. 10.039 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 10.055 * * * [regime-changes]: Trying 8 branch expressions: ((- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ x 1.0)) (sqrt x)) t z y x) 10.055 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # #) 10.129 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# # # # # # # # #) 10.206 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # #) 10.279 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # #) 10.353 * * * * [regimes]: Trying to branch on t from (# # # # # # # # #) 10.427 * * * * [regimes]: Trying to branch on z from (# # # # # # # # #) 10.500 * * * * [regimes]: Trying to branch on y from (# # # # # # # # #) 10.574 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 10.646 * * * [regime]: Found split indices: #