8.004 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.017 * [simplify]: Sending expressions to egg_math: (+ (+ (* h1 h1) h0) h0) 0.020 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 14 enodes (cost 2 ) 0.024 * * [simplify]: iteration 2 : 16 enodes (cost 2 ) 0.026 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.028 * * [simplify]: iteration 4 : 17 enodes (cost 2 ) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (+ y (fma x x y)) into (+ (fma x x y) y) 0.044 * [approximate]: Taking taylor expansion of (+ (fma x x y) y) in (y x) around 0 0.044 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in x 0.044 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.044 * [taylor]: Rewrote expression to (+ (* x x) y) 0.044 * [taylor]: Taking taylor expansion of (* x x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.045 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.045 * [taylor]: Rewrote expression to (+ (* x x) y) 0.045 * [taylor]: Taking taylor expansion of (* x x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of (+ (fma x x y) y) in y 0.045 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.045 * [taylor]: Rewrote expression to (+ (* x x) y) 0.045 * [taylor]: Taking taylor expansion of (* x x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.045 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.045 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 1) into 1 0.046 * [backup-simplify]: Simplify (+ 1 1) into 2 0.046 * [taylor]: Taking taylor expansion of 2 in x 0.046 * [backup-simplify]: Simplify 2 into 2 0.046 * [backup-simplify]: Simplify 2 into 2 0.047 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 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 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in x 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 (pow (* x 1) 2)) (* 2 (* 1 y))) into (+ (pow x 2) (* 2 y)) 0.051 * [backup-simplify]: Simplify (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.051 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (y x) around 0 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [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 * [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) 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [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 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (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 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.055 * [backup-simplify]: Simplify (+ 1 1) into 2 0.055 * [taylor]: Taking taylor expansion of 2 in x 0.055 * [backup-simplify]: Simplify 2 into 2 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.056 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 2 into 2 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [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 0.065 * [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 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.068 * [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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.069 * [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 (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.070 * [backup-simplify]: Simplify (+ (/ 1 (- y)) (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) 0.070 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in (y x) around 0 0.070 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.070 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [backup-simplify]: Simplify -1 into -1 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ -1 1) into -1 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 0.071 * [backup-simplify]: Simplify (/ -1 1) into -1 0.071 * [taylor]: Taking taylor expansion of (/ -1 y) 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 y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ -1 y)) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.071 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.071 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.072 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.072 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.072 * [taylor]: Taking taylor expansion of -1 in y 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.072 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.072 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.072 * [taylor]: Taking taylor expansion of -1 in y 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of y in y 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 y 0.072 * [taylor]: Taking taylor expansion of y in y 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 (- (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 0.073 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.073 * [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 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.074 * [backup-simplify]: Simplify (- 1) into -1 0.074 * [backup-simplify]: Simplify (+ -1 -1) into -2 0.074 * [taylor]: Taking taylor expansion of -2 in x 0.074 * [backup-simplify]: Simplify -2 into -2 0.074 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 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 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [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 into 0 0.079 * [backup-simplify]: Simplify -2 into -2 0.080 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in x 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 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.087 * [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 (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 2 y)) 0.090 * * * [progress]: simplifying candidates 0.090 * [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)) 0.094 * * [simplify]: iteration 0 : 80 enodes (cost 68 ) 0.097 * * [simplify]: iteration 1 : 232 enodes (cost 59 ) 0.104 * * [simplify]: iteration 2 : 949 enodes (cost 59 ) 0.131 * * [simplify]: iteration 3 : 5001 enodes (cost 58 ) 0.132 * * * [progress]: adding candidates to table 0.177 * * [progress]: iteration 2 / 4 0.177 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * [progress]: generating series expansions 0.186 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying: 0.186 * [simplify]: Sending expressions to egg_math: 0.189 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.189 * * * [progress]: adding candidates to table 0.189 * [progress]: [Phase 3 of 3] Extracting. 0.191 * [simplify]: Simplifying: (* 1 (fma y 2 (pow x 2))) 0.192 * [simplify]: Sending expressions to egg_math: (* 1 (fma h1 2 (pow h0 2))) 0.192 * * [simplify]: iteration 0 : 10 enodes (cost 2 ) 0.193 * * [simplify]: iteration 1 : 12 enodes (cost 2 ) 0.193 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.697 * [regime-testing]: End program error score: 0.006077598430318191 0.714 * [regime-testing]: Target error score: 0.006077598430318191