5.519 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.016 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) h1) h1) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.023 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.025 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.027 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [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 (+ y (fma x x y)) into (+ (fma x x y) y) 0.046 * [approximate]: Taking taylor expansion of (+ (fma x x y) y) in (y x) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in x 0.046 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.046 * [taylor]: Rewrote expression to (+ (* x x) y) 0.046 * [taylor]: Taking taylor expansion of (* x x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.046 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.046 * [taylor]: Rewrote expression to (+ (* x x) y) 0.047 * [taylor]: Taking taylor expansion of (* x x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.047 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.047 * [taylor]: Rewrote expression to (+ (* x x) y) 0.047 * [taylor]: Taking taylor expansion of (* x x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.047 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.047 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.047 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 1) into 1 0.048 * [backup-simplify]: Simplify (+ 1 1) into 2 0.048 * [taylor]: Taking taylor expansion of 2 in x 0.048 * [backup-simplify]: Simplify 2 into 2 0.048 * [backup-simplify]: Simplify 2 into 2 0.048 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 2 (* 1 y))) into (+ (pow x 2) (* 2 y)) 0.052 * [backup-simplify]: Simplify (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (y x) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 1) into 1 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.054 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.055 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.055 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [backup-simplify]: Simplify (+ 0 1) into 1 0.056 * [backup-simplify]: Simplify (+ 1 1) into 2 0.056 * [taylor]: Taking taylor expansion of 2 in x 0.056 * [backup-simplify]: Simplify 2 into 2 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.057 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 2 into 2 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.061 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.071 * [backup-simplify]: Simplify (+ (/ 1 (- y)) (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) 0.071 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in (y x) around 0 0.071 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.071 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.071 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.071 * [taylor]: Taking taylor expansion of -1 in x 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ -1 1) into -1 0.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.072 * [taylor]: Taking taylor expansion of -1 in x 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ -1 1) into -1 0.072 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.072 * [taylor]: Taking taylor expansion of -1 in x 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.072 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.072 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.073 * [taylor]: Taking taylor expansion of (/ -1 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 x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.073 * [taylor]: Taking taylor expansion of (/ -1 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 x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.073 * [taylor]: Taking taylor expansion of (/ -1 y) 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 y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ -1 1) into -1 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.074 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.074 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.074 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.074 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ -1 1) into -1 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.075 * [backup-simplify]: Simplify (- 1) into -1 0.075 * [backup-simplify]: Simplify (+ -1 -1) into -2 0.075 * [taylor]: Taking taylor expansion of -2 in x 0.075 * [backup-simplify]: Simplify -2 into -2 0.076 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify -2 into -2 0.081 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [taylor]: Taking taylor expansion of 0 in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [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 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.091 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying: (expm1 (+ y (fma x x y))) (log1p (+ y (fma x x y))) (* (exp y) (exp (fma x x y))) (log (+ y (fma x x y))) (exp (+ y (fma x x y))) (* (cbrt (+ y (fma x x y))) (cbrt (+ y (fma x x y)))) (cbrt (+ y (fma x x y))) (* (* (+ y (fma x x y)) (+ y (fma x x y))) (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))) (+ (pow y 3) (pow (fma x x y) 3)) (+ (* y y) (- (* (fma x x y) (fma x x y)) (* y (fma x x y)))) (- (* y y) (* (fma x x y) (fma x x y))) (- y (fma x x y)) (+ y (fma x x y)) (+ y (* x x)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.091 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (fma h1 h1 h0))) (log1p (+ h0 (fma h1 h1 h0))) (* (exp h0) (exp (fma h1 h1 h0))) (log (+ h0 (fma h1 h1 h0))) (exp (+ h0 (fma h1 h1 h0))) (* (cbrt (+ h0 (fma h1 h1 h0))) (cbrt (+ h0 (fma h1 h1 h0)))) (cbrt (+ h0 (fma h1 h1 h0))) (* (* (+ h0 (fma h1 h1 h0)) (+ h0 (fma h1 h1 h0))) (+ h0 (fma h1 h1 h0))) (sqrt (+ h0 (fma h1 h1 h0))) (sqrt (+ h0 (fma h1 h1 h0))) (+ (pow h0 3) (pow (fma h1 h1 h0) 3)) (+ (* h0 h0) (- (* (fma h1 h1 h0) (fma h1 h1 h0)) (* h0 (fma h1 h1 h0)))) (- (* h0 h0) (* (fma h1 h1 h0) (fma h1 h1 h0))) (- h0 (fma h1 h1 h0)) (+ h0 (fma h1 h1 h0)) (+ h0 (* h1 h1)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) 0.095 * * [simplify]: iteration 0 : 80 enodes (cost 68 ) 0.098 * * [simplify]: iteration 1 : 232 enodes (cost 59 ) 0.105 * * [simplify]: iteration 2 : 949 enodes (cost 59 ) 0.132 * * [simplify]: iteration 3 : 5001 enodes (cost 58 ) 0.133 * * * [progress]: adding candidates to table 0.180 * * [progress]: iteration 2 / 4 0.180 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.188 * [backup-simplify]: Simplify (fma y 2 (pow x 2)) into (fma y 2 (pow x 2)) 0.188 * [approximate]: Taking taylor expansion of (fma y 2 (pow x 2)) in (y x) around 0 0.188 * [taylor]: Taking taylor expansion of (fma y 2 (pow x 2)) in x 0.188 * [taylor]: Rewrote expression to (+ (* y 2) (pow x 2)) 0.188 * [taylor]: Taking taylor expansion of (* y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of 2 in x 0.188 * [backup-simplify]: Simplify 2 into 2 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (fma y 2 (pow x 2)) in y 0.189 * [taylor]: Rewrote expression to (+ (* y 2) (pow x 2)) 0.189 * [taylor]: Taking taylor expansion of (* y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of 2 in y 0.189 * [backup-simplify]: Simplify 2 into 2 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [taylor]: Taking taylor expansion of (fma y 2 (pow x 2)) in y 0.189 * [taylor]: Rewrote expression to (+ (* y 2) (pow x 2)) 0.189 * [taylor]: Taking taylor expansion of (* y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of 2 in y 0.189 * [backup-simplify]: Simplify 2 into 2 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [backup-simplify]: Simplify (* 0 2) into 0 0.190 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.190 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2)) into 2 0.190 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.191 * [backup-simplify]: Simplify (+ 2 0) into 2 0.191 * [taylor]: Taking taylor expansion of 2 in x 0.191 * [backup-simplify]: Simplify 2 into 2 0.191 * [backup-simplify]: Simplify 2 into 2 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 0.192 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 0.196 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 2 (* 1 y))) into (+ (pow x 2) (* 2 y)) 0.196 * [backup-simplify]: Simplify (fma (/ 1 y) 2 (pow (/ 1 x) 2)) into (fma (/ 1 y) 2 (pow (/ 1 x) 2)) 0.196 * [approximate]: Taking taylor expansion of (fma (/ 1 y) 2 (pow (/ 1 x) 2)) in (y x) around 0 0.196 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2 (pow (/ 1 x) 2)) in x 0.196 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2) (pow (/ 1 x) 2)) 0.196 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.196 * [taylor]: Taking taylor expansion of 2 in x 0.197 * [backup-simplify]: Simplify 2 into 2 0.197 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2 (pow (/ 1 x) 2)) in y 0.197 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2) (pow (/ 1 x) 2)) 0.197 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of 2 in y 0.198 * [backup-simplify]: Simplify 2 into 2 0.198 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [backup-simplify]: Simplify x into x 0.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.198 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2 (pow (/ 1 x) 2)) in y 0.198 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2) (pow (/ 1 x) 2)) 0.198 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of 2 in y 0.198 * [backup-simplify]: Simplify 2 into 2 0.198 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [backup-simplify]: Simplify x into x 0.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.199 * [backup-simplify]: Simplify (* 1 2) into 2 0.199 * [backup-simplify]: Simplify (+ 2 0) into 2 0.199 * [taylor]: Taking taylor expansion of 2 in x 0.199 * [backup-simplify]: Simplify 2 into 2 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 0.200 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.200 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 2 into 2 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.212 * [backup-simplify]: Simplify (fma (/ 1 (- y)) 2 (pow (/ 1 (- x)) 2)) into (fma (/ -1 y) 2 (pow (/ -1 x) 2)) 0.212 * [approximate]: Taking taylor expansion of (fma (/ -1 y) 2 (pow (/ -1 x) 2)) in (y x) around 0 0.212 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2 (pow (/ -1 x) 2)) in x 0.212 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2) (pow (/ -1 x) 2)) 0.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [backup-simplify]: Simplify 2 into 2 0.212 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.213 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2 (pow (/ -1 x) 2)) in y 0.213 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2) (pow (/ -1 x) 2)) 0.213 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2) in y 0.213 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.213 * [taylor]: Taking taylor expansion of -1 in y 0.213 * [backup-simplify]: Simplify -1 into -1 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.213 * [taylor]: Taking taylor expansion of 2 in y 0.213 * [backup-simplify]: Simplify 2 into 2 0.213 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.213 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.213 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.214 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2 (pow (/ -1 x) 2)) in y 0.214 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2) (pow (/ -1 x) 2)) 0.214 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2) in y 0.214 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.214 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [taylor]: Taking taylor expansion of 2 in y 0.214 * [backup-simplify]: Simplify 2 into 2 0.214 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.214 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.215 * [backup-simplify]: Simplify (* -1 2) into -2 0.215 * [backup-simplify]: Simplify (+ -2 0) into -2 0.215 * [taylor]: Taking taylor expansion of -2 in x 0.215 * [backup-simplify]: Simplify -2 into -2 0.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 2)) into 0 0.216 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify -2 into -2 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 0.221 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [taylor]: Taking taylor expansion of 0 in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.231 * * * [progress]: simplifying candidates 0.232 * [simplify]: Simplifying: (expm1 (fma y 2 (pow x 2))) (log1p (fma y 2 (pow x 2))) (* y 2) (log (fma y 2 (pow x 2))) (exp (fma y 2 (pow x 2))) (* (cbrt (fma y 2 (pow x 2))) (cbrt (fma y 2 (pow x 2)))) (cbrt (fma y 2 (pow x 2))) (* (* (fma y 2 (pow x 2)) (fma y 2 (pow x 2))) (fma y 2 (pow x 2))) (sqrt (fma y 2 (pow x 2))) (sqrt (fma y 2 (pow x 2))) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.232 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 2 (pow h1 2))) (log1p (fma h0 2 (pow h1 2))) (* h0 2) (log (fma h0 2 (pow h1 2))) (exp (fma h0 2 (pow h1 2))) (* (cbrt (fma h0 2 (pow h1 2))) (cbrt (fma h0 2 (pow h1 2)))) (cbrt (fma h0 2 (pow h1 2))) (* (* (fma h0 2 (pow h1 2)) (fma h0 2 (pow h1 2))) (fma h0 2 (pow h1 2))) (sqrt (fma h0 2 (pow h1 2))) (sqrt (fma h0 2 (pow h1 2))) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) (+ (pow h1 2) (* 2 h0)) 0.235 * * [simplify]: iteration 0 : 24 enodes (cost 43 ) 0.237 * * [simplify]: iteration 1 : 63 enodes (cost 38 ) 0.240 * * [simplify]: iteration 2 : 209 enodes (cost 38 ) 0.247 * * [simplify]: iteration 3 : 826 enodes (cost 38 ) 0.285 * * [simplify]: iteration 4 : 5002 enodes (cost 38 ) 0.286 * * * [progress]: adding candidates to table 0.314 * [progress]: [Phase 3 of 3] Extracting. 0.314 * * [regime]: Finding splitpoints for: (# #) 0.315 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.315 * * * * [regimes]: Trying to branch on y from (# #) 0.326 * * * * [regimes]: Trying to branch on x from (# #) 0.339 * * * [regime]: Found split indices: #