10.580 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (* x (+ 1.0 (* y y))) 0.017 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [backup-simplify]: Simplify (* x (+ 1.0 (* y y))) into (* x (+ (pow y 2) 1.0)) 0.046 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.047 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.047 * [backup-simplify]: Simplify (* 0 (+ (pow y 2) 1.0)) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ (pow y 2) 1.0))) into (+ (pow y 2) 1.0) 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [backup-simplify]: Simplify 1.0 into 1.0 0.048 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.048 * [backup-simplify]: Simplify 1.0 into 1.0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (pow y 2) 1.0)))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ (pow y 2) 1.0))))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (* 1.0 (* 1 x)) into (* 1.0 x) 0.051 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (/ (+ (/ 1 (pow y 2)) 1.0) x) 0.051 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [backup-simplify]: Simplify 1.0 into 1.0 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.059 * [backup-simplify]: Simplify 1.0 into 1.0 0.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.073 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) 0.073 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.073 * [taylor]: Taking taylor expansion of -1 in y 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.075 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.075 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.075 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.075 * [backup-simplify]: Simplify (* -1 (+ (/ 1 (pow y 2)) 1.0)) into (* -1 (+ (/ 1 (pow y 2)) 1.0)) 0.075 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.075 * [taylor]: Taking taylor expansion of -1 in y 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of 1.0 in y 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (* -1 1) into -1 0.076 * [backup-simplify]: Simplify -1 into -1 0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.084 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 0) (* 0 1))) into (- 1.0) 0.084 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1))))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.101 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (+ h1 (* h2 h2)))) (log1p (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2))) (+ (log h0) (log (+ h1 (* h2 h2)))) (log (* h0 (+ h1 (* h2 h2)))) (exp (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 h0) h0) (* (* (+ h1 (* h2 h2)) (+ h1 (* h2 h2))) (+ h1 (* h2 h2)))) (* (cbrt (* h0 (+ h1 (* h2 h2)))) (cbrt (* h0 (+ h1 (* h2 h2))))) (cbrt (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* h0 h1) (* h0 (* h2 h2)) (* h1 h0) (* (* h2 h2) h0) (* h0 (* (cbrt (+ h1 (* h2 h2))) (cbrt (+ h1 (* h2 h2))))) (* h0 (sqrt (+ h1 (* h2 h2)))) (* h0 1) (* (cbrt h0) (+ h1 (* h2 h2))) (* (sqrt h0) (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2))) (* h0 (+ (pow h1 3) (pow (* h2 h2) 3))) (* h0 (- (* h1 h1) (* (* h2 h2) (* h2 h2)))) (* h1 h0) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (* h0 (pow h2 2)) (* h1 h0)) 0.104 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.107 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.123 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.183 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.184 * * * [progress]: adding candidates to table 0.233 * * [progress]: iteration 2 / 4 0.233 * * * [progress]: picking best candidate 0.240 * * * * [pick]: Picked # 0.240 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.253 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.258 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.303 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.323 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.323 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.323 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [backup-simplify]: Simplify 1.0 into 1.0 0.324 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.324 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.326 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.329 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.336 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.340 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.341 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [taylor]: Taking taylor expansion of 1.0 in y 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (sqrt 1) into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (sqrt 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.348 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.354 * [backup-simplify]: Simplify -0.125 into -0.125 0.354 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.354 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (sqrt 1) into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of 1.0 in y 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.362 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.362 * [backup-simplify]: Simplify 0.5 into 0.5 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.367 * [backup-simplify]: Simplify -0.125 into -0.125 0.367 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.367 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.367 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.367 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.367 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [backup-simplify]: Simplify 1.0 into 1.0 0.368 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.368 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [taylor]: Taking taylor expansion of 1.0 in y 0.369 * [backup-simplify]: Simplify 1.0 into 1.0 0.369 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.369 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.370 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.373 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.379 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.381 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.381 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.382 * [taylor]: Taking taylor expansion of 1.0 in y 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (sqrt 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [backup-simplify]: Simplify 1.0 into 1.0 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.389 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.389 * [backup-simplify]: Simplify 0.5 into 0.5 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.395 * [backup-simplify]: Simplify -0.125 into -0.125 0.395 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.395 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.395 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [backup-simplify]: Simplify 1.0 into 1.0 0.396 * [backup-simplify]: Simplify (+ 1 0) into 1 0.397 * [backup-simplify]: Simplify (sqrt 1) into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of 1.0 in y 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (sqrt 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.403 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.403 * [backup-simplify]: Simplify 0.5 into 0.5 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.409 * [backup-simplify]: Simplify -0.125 into -0.125 0.409 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.409 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.409 * [backup-simplify]: Simplify (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) into (* x (+ (pow y 2) 1.0)) 0.409 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of 1.0 in y 0.409 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.410 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.410 * [backup-simplify]: Simplify (* 0 (+ (pow y 2) 1.0)) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ (pow y 2) 1.0))) into (+ (pow y 2) 1.0) 0.411 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (pow y 2) 1.0)))) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ (pow y 2) 1.0))))) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (* 1.0 (* 1 x)) into (* 1.0 x) 0.414 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) into (/ (+ (/ 1 (pow y 2)) 1.0) x) 0.414 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [taylor]: Taking taylor expansion of 1.0 in y 0.415 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [backup-simplify]: Simplify x into x 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.415 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.415 * [taylor]: Taking taylor expansion of y in x 0.415 * [backup-simplify]: Simplify y into y 0.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.415 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.416 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [backup-simplify]: Simplify y into y 0.416 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [backup-simplify]: Simplify 1.0 into 1.0 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.416 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of 1.0 in y 0.417 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.422 * [backup-simplify]: Simplify 1.0 into 1.0 0.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.437 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) 0.437 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [backup-simplify]: Simplify -1 into -1 0.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of 1.0 in y 0.438 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [backup-simplify]: Simplify x into x 0.438 * [backup-simplify]: Simplify (+ 1 0) into 1 0.438 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [backup-simplify]: Simplify -1 into -1 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.439 * [backup-simplify]: Simplify y into y 0.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [backup-simplify]: Simplify 1.0 into 1.0 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.439 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.439 * [taylor]: Taking taylor expansion of -1 in x 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [backup-simplify]: Simplify y into y 0.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [backup-simplify]: Simplify 1.0 into 1.0 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.440 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.440 * [backup-simplify]: Simplify (* -1 (+ (/ 1 (pow y 2)) 1.0)) into (* -1 (+ (/ 1 (pow y 2)) 1.0)) 0.440 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.440 * [taylor]: Taking taylor expansion of -1 in y 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [taylor]: Taking taylor expansion of 1.0 in y 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [backup-simplify]: Simplify (+ 1 0) into 1 0.441 * [backup-simplify]: Simplify (* -1 1) into -1 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.448 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 0) (* 0 1))) into (- 1.0) 0.449 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1))))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.465 * [backup-simplify]: Simplify (* x (sqrt (+ 1.0 (* y y)))) into (* x (sqrt (+ (pow y 2) 1.0))) 0.465 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [backup-simplify]: Simplify x into x 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of 1.0 in y 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.465 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.466 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.466 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.466 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.467 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [backup-simplify]: Simplify y into y 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [backup-simplify]: Simplify 1.0 into 1.0 0.467 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.467 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.467 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.467 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.468 * [backup-simplify]: Simplify (* 0 (sqrt (+ (pow y 2) 1.0))) into 0 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (pow y 2) 1.0)))) into (sqrt (+ (pow y 2) 1.0)) 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.468 * [backup-simplify]: Simplify 1.0 into 1.0 0.468 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.469 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.470 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (+ (pow y 2) 1.0))))) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (+ (pow y 2) 1.0)))))) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (* (sqrt 1.0) (* 1 x)) into (* x (sqrt 1.0)) 0.474 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) into (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) 0.474 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of 1.0 in y 0.474 * [backup-simplify]: Simplify 1.0 into 1.0 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (sqrt 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [backup-simplify]: Simplify x into x 0.476 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.476 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [backup-simplify]: Simplify y into y 0.476 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.476 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.477 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.477 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [backup-simplify]: Simplify y into y 0.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [backup-simplify]: Simplify 1.0 into 1.0 0.478 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.478 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.478 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.480 * [backup-simplify]: Simplify 1.0 into 1.0 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.487 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.487 * [backup-simplify]: Simplify 0.5 into 0.5 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.495 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 (/ x y)) (* x y)) 0.495 * [backup-simplify]: Simplify (* (/ 1 (- x)) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) 0.495 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.496 * [taylor]: Taking taylor expansion of -1 in y 0.496 * [backup-simplify]: Simplify -1 into -1 0.496 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of 1.0 in y 0.496 * [backup-simplify]: Simplify 1.0 into 1.0 0.496 * [backup-simplify]: Simplify (+ 1 0) into 1 0.497 * [backup-simplify]: Simplify (sqrt 1) into 1 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [backup-simplify]: Simplify x into x 0.498 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.498 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [backup-simplify]: Simplify y into y 0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.498 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.499 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.499 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [backup-simplify]: Simplify -1 into -1 0.499 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [backup-simplify]: Simplify y into y 0.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.500 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.500 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.501 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.501 * [backup-simplify]: Simplify (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) into (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) 0.501 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.501 * [taylor]: Taking taylor expansion of -1 in y 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of 1.0 in y 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [backup-simplify]: Simplify (* -1 1) into -1 0.504 * [backup-simplify]: Simplify -1 into -1 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.511 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.512 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 0) (* 0 1))) into (- 0.5) 0.512 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.514 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 0) (* 0 1)))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.525 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ x y)) (* x y))) 0.525 * * * [progress]: simplifying candidates 0.527 * [simplify]: Simplifying: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (log1p (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (expm1 (* x (sqrt (+ 1.0 (* y y))))) (log1p (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.527 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (log1p (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (+ (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (+ (log (* h2 (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (log (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (exp (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (- h0 (* h1 h1))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt 1)) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) 1) (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ h0 (* h1 h1)))) (expm1 (* h2 (sqrt (+ h0 (* h1 h1))))) (log1p (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1)))) (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (* h2 (sqrt (+ h0 (* h1 h1))))) (exp (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1)))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (+ h0 (* h1 h1)))) (* (sqrt h2) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h0 h2) (+ (* h2 (pow h1 2)) (* h0 h2)) (+ (* h2 (pow h1 2)) (* h0 h2)) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 0.532 * * [simplify]: iteration 0 : 318 enodes (cost 722 ) 0.539 * * [simplify]: iteration 1 : 1367 enodes (cost 620 ) 0.565 * * [simplify]: iteration 2 : 5002 enodes (cost 595 ) 0.568 * * * [progress]: adding candidates to table 0.820 * * [progress]: iteration 3 / 4 0.820 * * * [progress]: picking best candidate 0.830 * * * * [pick]: Picked # 0.830 * * * [progress]: localizing error 0.840 * * * [progress]: generating rewritten candidates 0.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.845 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.851 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.857 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.913 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.913 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.913 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.913 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.913 * [taylor]: Taking taylor expansion of 1.0 in y 0.913 * [backup-simplify]: Simplify 1.0 into 1.0 0.914 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.914 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.915 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of 1.0 in y 0.915 * [backup-simplify]: Simplify 1.0 into 1.0 0.915 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.915 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.916 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.919 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.925 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.927 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.927 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.927 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [taylor]: Taking taylor expansion of 1.0 in y 0.928 * [backup-simplify]: Simplify 1.0 into 1.0 0.928 * [backup-simplify]: Simplify (+ 1 0) into 1 0.928 * [backup-simplify]: Simplify (sqrt 1) into 1 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [taylor]: Taking taylor expansion of 1.0 in y 0.930 * [backup-simplify]: Simplify 1.0 into 1.0 0.931 * [backup-simplify]: Simplify (+ 1 0) into 1 0.931 * [backup-simplify]: Simplify (sqrt 1) into 1 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.935 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.935 * [backup-simplify]: Simplify 0.5 into 0.5 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.940 * [backup-simplify]: Simplify -0.125 into -0.125 0.940 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.941 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.941 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.941 * [backup-simplify]: Simplify (* 1 1) into 1 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [taylor]: Taking taylor expansion of 1.0 in y 0.941 * [backup-simplify]: Simplify 1.0 into 1.0 0.941 * [backup-simplify]: Simplify (+ 1 0) into 1 0.942 * [backup-simplify]: Simplify (sqrt 1) into 1 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of 1.0 in y 0.944 * [backup-simplify]: Simplify 1.0 into 1.0 0.944 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify (sqrt 1) into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.948 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.948 * [backup-simplify]: Simplify 0.5 into 0.5 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.953 * [backup-simplify]: Simplify -0.125 into -0.125 0.954 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.954 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.954 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.954 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [taylor]: Taking taylor expansion of 1.0 in y 0.954 * [backup-simplify]: Simplify 1.0 into 1.0 0.954 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.955 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.955 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [taylor]: Taking taylor expansion of 1.0 in y 0.955 * [backup-simplify]: Simplify 1.0 into 1.0 0.956 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.956 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.957 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify (* 1 1) into 1 0.957 * [backup-simplify]: Simplify (+ 1 0) into 1 0.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.959 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.965 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.970 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.971 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [taylor]: Taking taylor expansion of 1.0 in y 0.971 * [backup-simplify]: Simplify 1.0 into 1.0 0.971 * [backup-simplify]: Simplify (+ 1 0) into 1 0.972 * [backup-simplify]: Simplify (sqrt 1) into 1 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.974 * [taylor]: Taking taylor expansion of 1.0 in y 0.974 * [backup-simplify]: Simplify 1.0 into 1.0 0.974 * [backup-simplify]: Simplify (+ 1 0) into 1 0.974 * [backup-simplify]: Simplify (sqrt 1) into 1 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.978 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.978 * [backup-simplify]: Simplify 0.5 into 0.5 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.983 * [backup-simplify]: Simplify -0.125 into -0.125 0.984 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.984 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.984 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [taylor]: Taking taylor expansion of 1.0 in y 0.984 * [backup-simplify]: Simplify 1.0 into 1.0 0.985 * [backup-simplify]: Simplify (+ 1 0) into 1 0.985 * [backup-simplify]: Simplify (sqrt 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.986 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (* 1 1) into 1 0.987 * [backup-simplify]: Simplify (/ 1 1) into 1 0.987 * [taylor]: Taking taylor expansion of 1.0 in y 0.987 * [backup-simplify]: Simplify 1.0 into 1.0 0.987 * [backup-simplify]: Simplify (+ 1 0) into 1 0.987 * [backup-simplify]: Simplify (sqrt 1) into 1 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.992 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.992 * [backup-simplify]: Simplify 0.5 into 0.5 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.997 * [backup-simplify]: Simplify -0.125 into -0.125 0.997 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.998 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.998 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.998 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.998 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [taylor]: Taking taylor expansion of 1.0 in y 0.998 * [backup-simplify]: Simplify 1.0 into 1.0 0.998 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.998 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.999 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of 1.0 in y 0.999 * [backup-simplify]: Simplify 1.0 into 1.0 0.999 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.000 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.001 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (* 1 1) into 1 1.001 * [backup-simplify]: Simplify (+ 1 0) into 1 1.003 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.003 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.004 * [backup-simplify]: Simplify (+ 0 0) into 0 1.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.009 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.011 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.011 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 1 into 1 1.012 * [backup-simplify]: Simplify (* 1 1) into 1 1.012 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [taylor]: Taking taylor expansion of 1.0 in y 1.012 * [backup-simplify]: Simplify 1.0 into 1.0 1.012 * [backup-simplify]: Simplify (+ 1 0) into 1 1.012 * [backup-simplify]: Simplify (sqrt 1) into 1 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.014 * [taylor]: Taking taylor expansion of 1.0 in y 1.014 * [backup-simplify]: Simplify 1.0 into 1.0 1.015 * [backup-simplify]: Simplify (+ 1 0) into 1 1.015 * [backup-simplify]: Simplify (sqrt 1) into 1 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.019 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.019 * [backup-simplify]: Simplify 0.5 into 0.5 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.024 * [backup-simplify]: Simplify -0.125 into -0.125 1.024 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.024 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.024 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.025 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.025 * [backup-simplify]: Simplify (/ 1 1) into 1 1.025 * [taylor]: Taking taylor expansion of 1.0 in y 1.025 * [backup-simplify]: Simplify 1.0 into 1.0 1.025 * [backup-simplify]: Simplify (+ 1 0) into 1 1.026 * [backup-simplify]: Simplify (sqrt 1) into 1 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.027 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of 1.0 in y 1.027 * [backup-simplify]: Simplify 1.0 into 1.0 1.028 * [backup-simplify]: Simplify (+ 1 0) into 1 1.028 * [backup-simplify]: Simplify (sqrt 1) into 1 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.031 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.032 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.032 * [backup-simplify]: Simplify 0.5 into 0.5 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.037 * [backup-simplify]: Simplify -0.125 into -0.125 1.037 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.038 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.038 * [backup-simplify]: Simplify (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) into (* x (sqrt (+ (pow y 2) 1.0))) 1.038 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 1.038 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 1.038 * [taylor]: Taking taylor expansion of x in y 1.038 * [backup-simplify]: Simplify x into x 1.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.038 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.038 * [taylor]: Taking taylor expansion of y in y 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [taylor]: Taking taylor expansion of 1.0 in y 1.038 * [backup-simplify]: Simplify 1.0 into 1.0 1.038 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.038 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.039 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.039 * [backup-simplify]: Simplify y into y 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [backup-simplify]: Simplify 1.0 into 1.0 1.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.039 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 1.039 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 1.039 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 1.040 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 1.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 1.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.040 * [taylor]: Taking taylor expansion of y in x 1.040 * [backup-simplify]: Simplify y into y 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [backup-simplify]: Simplify 1.0 into 1.0 1.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.040 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 1.040 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 1.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 1.041 * [backup-simplify]: Simplify (* 0 (sqrt (+ (pow y 2) 1.0))) into 0 1.041 * [taylor]: Taking taylor expansion of 0 in y 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (pow y 2) 1.0)))) into (sqrt (+ (pow y 2) 1.0)) 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [taylor]: Taking taylor expansion of 1.0 in y 1.041 * [backup-simplify]: Simplify 1.0 into 1.0 1.042 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.042 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.043 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (+ (pow y 2) 1.0))))) into 0 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (+ (pow y 2) 1.0)))))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (* (sqrt 1.0) (* 1 x)) into (* x (sqrt 1.0)) 1.047 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))))) (sqrt (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))))) into (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) 1.047 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (* 1 1) into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [taylor]: Taking taylor expansion of 1.0 in y 1.047 * [backup-simplify]: Simplify 1.0 into 1.0 1.048 * [backup-simplify]: Simplify (+ 1 0) into 1 1.048 * [backup-simplify]: Simplify (sqrt 1) into 1 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ 0 0) into 0 1.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.049 * [taylor]: Taking taylor expansion of x in y 1.049 * [backup-simplify]: Simplify x into x 1.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.049 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.049 * [backup-simplify]: Simplify y into y 1.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [backup-simplify]: Simplify 1.0 into 1.0 1.050 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 1.050 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.051 * [taylor]: Taking taylor expansion of y in x 1.051 * [backup-simplify]: Simplify y into y 1.051 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [backup-simplify]: Simplify 1.0 into 1.0 1.051 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 1.051 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.051 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (/ 1 1) into 1 1.052 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [taylor]: Taking taylor expansion of 1.0 in y 1.053 * [backup-simplify]: Simplify 1.0 into 1.0 1.053 * [backup-simplify]: Simplify (+ 1 0) into 1 1.053 * [backup-simplify]: Simplify (sqrt 1) into 1 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 1.058 * [taylor]: Taking taylor expansion of 0 in y 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 1.060 * [taylor]: Taking taylor expansion of 0 in y 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.063 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.063 * [backup-simplify]: Simplify 0.5 into 0.5 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.066 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.066 * [taylor]: Taking taylor expansion of 0 in y 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 (/ x y)) (* x y)) 1.071 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))))) (sqrt (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) 1.071 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 1.071 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 1.071 * [taylor]: Taking taylor expansion of -1 in y 1.071 * [backup-simplify]: Simplify -1 into -1 1.071 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 1.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (* 1 1) into 1 1.072 * [backup-simplify]: Simplify (/ 1 1) into 1 1.072 * [taylor]: Taking taylor expansion of 1.0 in y 1.072 * [backup-simplify]: Simplify 1.0 into 1.0 1.072 * [backup-simplify]: Simplify (+ 1 0) into 1 1.072 * [backup-simplify]: Simplify (sqrt 1) into 1 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.073 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [backup-simplify]: Simplify x into x 1.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.074 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of -1 in x 1.074 * [backup-simplify]: Simplify -1 into -1 1.074 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [backup-simplify]: Simplify y into y 1.074 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.074 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [backup-simplify]: Simplify 1.0 into 1.0 1.074 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 1.074 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.074 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.075 * [taylor]: Taking taylor expansion of -1 in x 1.075 * [backup-simplify]: Simplify -1 into -1 1.075 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [backup-simplify]: Simplify y into y 1.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [backup-simplify]: Simplify 1.0 into 1.0 1.075 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 1.075 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.077 * [backup-simplify]: Simplify (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) into (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) 1.077 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 1.077 * [taylor]: Taking taylor expansion of -1 in y 1.077 * [backup-simplify]: Simplify -1 into -1 1.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* 1 1) into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [taylor]: Taking taylor expansion of 1.0 in y 1.077 * [backup-simplify]: Simplify 1.0 into 1.0 1.077 * [backup-simplify]: Simplify (+ 1 0) into 1 1.078 * [backup-simplify]: Simplify (sqrt 1) into 1 1.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.079 * [backup-simplify]: Simplify (* -1 1) into -1 1.079 * [backup-simplify]: Simplify -1 into -1 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 1.080 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 1.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.086 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.087 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.087 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))))) into 0 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 0) (* 0 1)))) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.096 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))))) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ x y)) (* x y))) 1.098 * * * [progress]: simplifying candidates 1.099 * [simplify]: Simplifying: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log1p (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.100 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (log1p (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (+ (+ (log h2) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (+ (log (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (exp (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt 1))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt 1)) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) 1) (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 1.105 * * [simplify]: iteration 0 : 307 enodes (cost 781 ) 1.111 * * [simplify]: iteration 1 : 1108 enodes (cost 687 ) 1.134 * * [simplify]: iteration 2 : 4896 enodes (cost 660 ) 1.221 * * [simplify]: iteration 3 : 5001 enodes (cost 660 ) 1.224 * * * [progress]: adding candidates to table 1.512 * * [progress]: iteration 4 / 4 1.512 * * * [progress]: picking best candidate 1.517 * * * * [pick]: Picked # 1.517 * * * [progress]: localizing error 1.530 * * * [progress]: generating rewritten candidates 1.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.535 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 1.541 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 1.546 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.551 * * * [progress]: generating series expansions 1.551 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.551 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.551 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.551 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of 1.0 in y 1.551 * [backup-simplify]: Simplify 1.0 into 1.0 1.552 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.552 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.553 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.553 * [taylor]: Taking taylor expansion of y in y 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of 1.0 in y 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.553 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.554 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (* 1 1) into 1 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.556 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.557 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.563 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.565 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.565 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.565 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.565 * [taylor]: Taking taylor expansion of y in y 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [taylor]: Taking taylor expansion of 1.0 in y 1.566 * [backup-simplify]: Simplify 1.0 into 1.0 1.566 * [backup-simplify]: Simplify (+ 1 0) into 1 1.566 * [backup-simplify]: Simplify (sqrt 1) into 1 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.568 * [taylor]: Taking taylor expansion of y in y 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.568 * [backup-simplify]: Simplify (/ 1 1) into 1 1.568 * [taylor]: Taking taylor expansion of 1.0 in y 1.568 * [backup-simplify]: Simplify 1.0 into 1.0 1.568 * [backup-simplify]: Simplify (+ 1 0) into 1 1.568 * [backup-simplify]: Simplify (sqrt 1) into 1 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.573 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.573 * [backup-simplify]: Simplify 0.5 into 0.5 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.578 * [backup-simplify]: Simplify -0.125 into -0.125 1.578 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.578 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.578 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.578 * [taylor]: Taking taylor expansion of y in y 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of 1.0 in y 1.579 * [backup-simplify]: Simplify 1.0 into 1.0 1.579 * [backup-simplify]: Simplify (+ 1 0) into 1 1.579 * [backup-simplify]: Simplify (sqrt 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.581 * [taylor]: Taking taylor expansion of y in y 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.584 * [taylor]: Taking taylor expansion of 1.0 in y 1.584 * [backup-simplify]: Simplify 1.0 into 1.0 1.584 * [backup-simplify]: Simplify (+ 1 0) into 1 1.585 * [backup-simplify]: Simplify (sqrt 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.589 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.589 * [backup-simplify]: Simplify 0.5 into 0.5 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.594 * [backup-simplify]: Simplify -0.125 into -0.125 1.594 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.594 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 1.594 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.594 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.594 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.594 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [taylor]: Taking taylor expansion of 1.0 in y 1.595 * [backup-simplify]: Simplify 1.0 into 1.0 1.595 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.595 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.596 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.596 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of 1.0 in y 1.596 * [backup-simplify]: Simplify 1.0 into 1.0 1.596 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.596 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.597 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (+ 1 0) into 1 1.599 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.600 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.600 * [backup-simplify]: Simplify (+ 0 0) into 0 1.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.606 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.608 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.608 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.608 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (* 1 1) into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of 1.0 in y 1.609 * [backup-simplify]: Simplify 1.0 into 1.0 1.609 * [backup-simplify]: Simplify (+ 1 0) into 1 1.609 * [backup-simplify]: Simplify (sqrt 1) into 1 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (* 1 1) into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [taylor]: Taking taylor expansion of 1.0 in y 1.611 * [backup-simplify]: Simplify 1.0 into 1.0 1.611 * [backup-simplify]: Simplify (+ 1 0) into 1 1.611 * [backup-simplify]: Simplify (sqrt 1) into 1 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.613 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.616 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.616 * [backup-simplify]: Simplify 0.5 into 0.5 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.621 * [backup-simplify]: Simplify -0.125 into -0.125 1.621 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.621 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.621 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.622 * [taylor]: Taking taylor expansion of y in y 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [taylor]: Taking taylor expansion of 1.0 in y 1.622 * [backup-simplify]: Simplify 1.0 into 1.0 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.622 * [backup-simplify]: Simplify (sqrt 1) into 1 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify (+ 0 0) into 0 1.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [taylor]: Taking taylor expansion of 1.0 in y 1.625 * [backup-simplify]: Simplify 1.0 into 1.0 1.625 * [backup-simplify]: Simplify (+ 1 0) into 1 1.625 * [backup-simplify]: Simplify (sqrt 1) into 1 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.626 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.629 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.629 * [backup-simplify]: Simplify 0.5 into 0.5 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.634 * [backup-simplify]: Simplify -0.125 into -0.125 1.635 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 1.635 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.635 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.635 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.635 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.635 * [taylor]: Taking taylor expansion of y in y 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of 1.0 in y 1.635 * [backup-simplify]: Simplify 1.0 into 1.0 1.635 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.636 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.636 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.636 * [taylor]: Taking taylor expansion of y in y 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [taylor]: Taking taylor expansion of 1.0 in y 1.636 * [backup-simplify]: Simplify 1.0 into 1.0 1.637 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.637 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.638 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (+ 1 0) into 1 1.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.640 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.646 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.648 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.648 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.648 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.649 * [taylor]: Taking taylor expansion of y in y 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of 1.0 in y 1.649 * [backup-simplify]: Simplify 1.0 into 1.0 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (sqrt 1) into 1 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* 1 1) into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [taylor]: Taking taylor expansion of 1.0 in y 1.651 * [backup-simplify]: Simplify 1.0 into 1.0 1.652 * [backup-simplify]: Simplify (+ 1 0) into 1 1.652 * [backup-simplify]: Simplify (sqrt 1) into 1 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.656 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.656 * [backup-simplify]: Simplify 0.5 into 0.5 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.661 * [backup-simplify]: Simplify -0.125 into -0.125 1.661 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.661 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.661 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.662 * [taylor]: Taking taylor expansion of y in y 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of 1.0 in y 1.662 * [backup-simplify]: Simplify 1.0 into 1.0 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.663 * [backup-simplify]: Simplify (sqrt 1) into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.664 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.664 * [taylor]: Taking taylor expansion of y in y 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (* 1 1) into 1 1.664 * [backup-simplify]: Simplify (/ 1 1) into 1 1.664 * [taylor]: Taking taylor expansion of 1.0 in y 1.664 * [backup-simplify]: Simplify 1.0 into 1.0 1.665 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (sqrt 1) into 1 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.672 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.672 * [backup-simplify]: Simplify 0.5 into 0.5 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.677 * [backup-simplify]: Simplify -0.125 into -0.125 1.677 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.678 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (* y y)))) into (pow (+ (pow y 2) 1.0) 1/6) 1.678 * [approximate]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in (y) around 0 1.678 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.678 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.678 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.678 * [taylor]: Taking taylor expansion of 1/6 in y 1.678 * [backup-simplify]: Simplify 1/6 into 1/6 1.678 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.678 * [taylor]: Taking taylor expansion of y in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [taylor]: Taking taylor expansion of 1.0 in y 1.678 * [backup-simplify]: Simplify 1.0 into 1.0 1.678 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.678 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.679 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 1.680 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 1.680 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 1/6) in y 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow y 2) 1.0)))) in y 1.680 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow y 2) 1.0))) in y 1.680 * [taylor]: Taking taylor expansion of 1/6 in y 1.680 * [backup-simplify]: Simplify 1/6 into 1/6 1.680 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) 1.0)) in y 1.680 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.680 * [taylor]: Taking taylor expansion of y in y 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [taylor]: Taking taylor expansion of 1.0 in y 1.680 * [backup-simplify]: Simplify 1.0 into 1.0 1.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.680 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.681 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 1.682 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 1.682 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log 1.0))) into 0 1.684 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0 1) 1)))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (+ 1 0) into 1 1.690 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into 1.0 1.691 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (+ (* 0 0) (* 0 (log 1.0)))) into 0.16666666666666666 1.695 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 1.695 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 1.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1.0 1)))) 6) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (log 1.0))))) into 0 1.701 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.702 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1.0 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 1.0 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 1.0 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1.0 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1.0 1)))) 24) into (/ -1/2 (pow 1.0 2)) 1.719 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (log 1.0)))))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 1.731 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 1.734 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 1.737 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow y 4)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) (pow y 2)) (pow 1.0 1/6))) into (- (+ (pow 1.0 1/6) (+ (* 0.16666666666666666 (* (pow y 2) (pow 1.0 1/6))) (* 0.013888888888888888 (* (pow y 4) (pow 1.0 1/6))))) (* 1/12 (* (pow y 4) (pow (/ 1 (pow 1.0 11)) 1/6)))) 1.737 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) into (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) 1.737 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in (y) around 0 1.738 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.738 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.738 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.738 * [taylor]: Taking taylor expansion of 1/6 in y 1.738 * [backup-simplify]: Simplify 1/6 into 1/6 1.738 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.738 * [taylor]: Taking taylor expansion of y in y 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (* 1 1) into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of 1.0 in y 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.738 * [backup-simplify]: Simplify (+ 1 0) into 1 1.739 * [backup-simplify]: Simplify (log 1) into 0 1.739 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.739 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 1.739 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 1.739 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.739 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.739 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.739 * [taylor]: Taking taylor expansion of 1/6 in y 1.739 * [backup-simplify]: Simplify 1/6 into 1/6 1.739 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.739 * [taylor]: Taking taylor expansion of y in y 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (* 1 1) into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [taylor]: Taking taylor expansion of 1.0 in y 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (log 1) into 0 1.740 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.740 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 1.741 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 1.741 * [backup-simplify]: Simplify (pow y -1/3) into (pow y -1/3) 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.743 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.743 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log y))))) into 0 1.743 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into 1.0 1.753 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.754 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into 0.16666666666666666 1.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 y) 1/3)) 1.756 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 y) 1/3)) into (* 0.16666666666666666 (pow (/ 1 y) 1/3)) 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1.0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.760 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.760 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 1.761 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1.0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1.0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5 1.778 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.779 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y)))))))) into (- 0.08333333333333333) 1.785 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 y) 1/3)) 1.785 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 y) 1/3)) into (* -0.06944444444444445 (pow (/ 1 y) 1/3)) 1.785 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 y)) 1/3)) (pow (/ 1 y) 4)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 y)) 1/3)) (pow (/ 1 y) 2)) (pow (/ 1 y) -1/3))) into (- (+ (pow (/ 1 y) -1/3) (* 0.16666666666666666 (pow (/ 1 (pow y 5)) 1/3))) (* 0.06944444444444445 (pow (/ 1 (pow y 11)) 1/3))) 1.785 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) 1.785 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in (y) around 0 1.785 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.786 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.786 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.786 * [taylor]: Taking taylor expansion of 1/6 in y 1.786 * [backup-simplify]: Simplify 1/6 into 1/6 1.786 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.786 * [taylor]: Taking taylor expansion of y in y 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (* 1 1) into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [taylor]: Taking taylor expansion of 1.0 in y 1.786 * [backup-simplify]: Simplify 1.0 into 1.0 1.786 * [backup-simplify]: Simplify (+ 1 0) into 1 1.787 * [backup-simplify]: Simplify (log 1) into 0 1.787 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.787 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 1.787 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 1.787 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 1/6) in y 1.787 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0)))) in y 1.787 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow y 2)) 1.0))) in y 1.787 * [taylor]: Taking taylor expansion of 1/6 in y 1.787 * [backup-simplify]: Simplify 1/6 into 1/6 1.787 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) 1.0)) in y 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.787 * [taylor]: Taking taylor expansion of y in y 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (* 1 1) into 1 1.788 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [taylor]: Taking taylor expansion of 1.0 in y 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (log 1) into 0 1.788 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.788 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y)) 1.789 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3) 1.789 * [backup-simplify]: Simplify (pow y -1/3) into (pow y -1/3) 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.791 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.791 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log y))))) into 0 1.791 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 1.791 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.798 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into 1.0 1.798 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.799 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into 0.16666666666666666 1.801 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 y) 1/3)) 1.801 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 y) 1/3)) into (* 0.16666666666666666 (pow (/ 1 y) 1/3)) 1.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1.0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.805 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.806 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y))))))) into 0 1.807 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1.0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1.0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -0.5 1.827 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y))) 1.828 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 2 (log y)))))))) into (- 0.08333333333333333) 1.833 * [backup-simplify]: Simplify (* (exp (* -1/3 (log y))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0.16666666666666666 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 y) 1/3)) 1.833 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 y) 1/3)) into (* -0.06944444444444445 (pow (/ 1 y) 1/3)) 1.834 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 (- y))) 1/3)) (pow (/ 1 (- y)) 4)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 (- y))) 1/3)) (pow (/ 1 (- y)) 2)) (pow (/ 1 (- y)) -1/3))) into (- (+ (* 0.16666666666666666 (pow (/ -1 (pow y 5)) 1/3)) (pow (/ -1 y) -1/3)) (* 0.06944444444444445 (pow (/ -1 (pow y 11)) 1/3))) 1.834 * * * [progress]: simplifying candidates 1.835 * [simplify]: Simplifying: (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (sqrt (+ 1.0 (* y y)))) (log1p (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (expm1 (cbrt (sqrt (+ 1.0 (* y y))))) (log1p (cbrt (sqrt (+ 1.0 (* y y))))) (log (cbrt (sqrt (+ 1.0 (* y y))))) (exp (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (cbrt (sqrt (cbrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt 1) (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (cbrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (cbrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (cbrt (sqrt (- 1.0 (* y y)))) (* (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y)))))) (cbrt (cbrt (sqrt (+ 1.0 (* y y))))) (* (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (sqrt (cbrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (pow 1.0 1/6) (+ (* 0.16666666666666666 (* (pow y 2) (pow 1.0 1/6))) (* 0.013888888888888888 (* (pow y 4) (pow 1.0 1/6))))) (* 1/12 (* (pow y 4) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (+ (pow (/ 1 y) -1/3) (* 0.16666666666666666 (pow (/ 1 (pow y 5)) 1/3))) (* 0.06944444444444445 (pow (/ 1 (pow y 11)) 1/3))) (- (+ (* 0.16666666666666666 (pow (/ -1 (pow y 5)) 1/3)) (pow (/ -1 y) -1/3)) (* 0.06944444444444445 (pow (/ -1 (pow y 11)) 1/3))) 1.836 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (sqrt (+ h0 (* h1 h1)))) (log1p (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (expm1 (cbrt (sqrt (+ h0 (* h1 h1))))) (log1p (cbrt (sqrt (+ h0 (* h1 h1))))) (log (cbrt (sqrt (+ h0 (* h1 h1))))) (exp (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (cbrt (sqrt (cbrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt 1) (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (cbrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (cbrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (cbrt (sqrt (- h0 (* h1 h1)))) (* (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (cbrt (sqrt (+ h0 (* h1 h1))))) (* (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1))))) (sqrt (cbrt (sqrt (+ h0 (* h1 h1))))) (sqrt (cbrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (pow h0 1/6) (+ (* h4 (* (pow h1 2) (pow h0 1/6))) (* h5 (* (pow h1 4) (pow h0 1/6))))) (* 1/12 (* (pow h1 4) (pow (/ 1 (pow h0 11)) 1/6)))) (- (+ (pow (/ 1 h1) -1/3) (* h4 (pow (/ 1 (pow h1 5)) 1/3))) (* h6 (pow (/ 1 (pow h1 11)) 1/3))) (- (+ (* h4 (pow (/ -1 (pow h1 5)) 1/3)) (pow (/ -1 h1) -1/3)) (* h6 (pow (/ -1 (pow h1 11)) 1/3))) 1.840 * * [simplify]: iteration 0 : 271 enodes (cost 524 ) 1.845 * * [simplify]: iteration 1 : 927 enodes (cost 498 ) 1.864 * * [simplify]: iteration 2 : 4108 enodes (cost 481 ) 1.958 * * [simplify]: iteration 3 : 5001 enodes (cost 476 ) 1.961 * * * [progress]: adding candidates to table 2.306 * [progress]: [Phase 3 of 3] Extracting. 2.306 * * [regime]: Finding splitpoints for: (# # # # #) 2.307 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 2.307 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 2.324 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 2.340 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 2.359 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.376 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.396 * * * [regime]: Found split indices: #