10.436 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.024 * [simplify]: Sending expressions to egg_math: (+ (+ (* h1 h2) (* h1 h1)) (* h0 h0)) 0.027 * * [simplify]: iteration 0 : 16 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.031 * * [simplify]: iteration 2 : 41 enodes (cost 3 ) 0.032 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [backup-simplify]: Simplify (fma x (+ 2.0 x) (* y y)) into (fma x (+ x 2.0) (pow y 2)) 0.043 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 0.044 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [taylor]: Taking taylor expansion of 2.0 in y 0.044 * [backup-simplify]: Simplify 2.0 into 2.0 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.044 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) 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 2.0) 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 2.0 in x 0.044 * [backup-simplify]: Simplify 2.0 into 2.0 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [backup-simplify]: Simplify y into y 0.044 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.044 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) 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 2.0) 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 2.0 in x 0.044 * [backup-simplify]: Simplify 2.0 into 2.0 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.045 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.045 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.046 * [backup-simplify]: Simplify (+ 1 0) into 1 0.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 2.0)) into 2.0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.047 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.047 * [backup-simplify]: Simplify 2.0 into 2.0 0.047 * [backup-simplify]: Simplify 2.0 into 2.0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 2.0))) into 1 0.048 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.049 * [backup-simplify]: Simplify (fma (/ 1 x) (+ 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) 0.049 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 0.049 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.049 * [taylor]: Taking taylor expansion of 2.0 in y 0.049 * [backup-simplify]: Simplify 2.0 into 2.0 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.050 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of 2.0 in x 0.051 * [backup-simplify]: Simplify 2.0 into 2.0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) 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 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) 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 2.0 in x 0.052 * [backup-simplify]: Simplify 2.0 into 2.0 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) 0.052 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1)) into 2.0 0.055 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.055 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [backup-simplify]: Simplify 2.0 into 2.0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 2.0) (* 0 1))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 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 2.0 into 2.0 0.061 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.061 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (+ 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) 0.061 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.062 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.062 * [backup-simplify]: Simplify 2.0 into 2.0 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.063 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.063 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ -1 1) into -1 0.063 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [backup-simplify]: Simplify 2.0 into 2.0 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.064 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.064 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [backup-simplify]: Simplify -1 into -1 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ -1 1) into -1 0.064 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [backup-simplify]: Simplify 2.0 into 2.0 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.065 * [backup-simplify]: Simplify (- 1) into -1 0.065 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.065 * [backup-simplify]: Simplify (* -1 -1) into 1 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- 0) into 0 0.066 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.068 * [backup-simplify]: Simplify (+ (- 2.0) 0) into (- 2.0) 0.068 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.068 * [taylor]: Taking taylor expansion of 2.0 in y 0.068 * [backup-simplify]: Simplify 2.0 into 2.0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 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 0.078 * [backup-simplify]: Simplify (+ 0 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 into 0 0.079 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.079 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.080 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.080 * * * [progress]: simplifying candidates 0.080 * [simplify]: Simplifying: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (* (* (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.080 * [simplify]: Sending expressions to egg_math: (expm1 (fma h1 (+ h2 h1) (* h0 h0))) (log1p (fma h1 (+ h2 h1) (* h0 h0))) (* h1 (+ h2 h1)) (log (fma h1 (+ h2 h1) (* h0 h0))) (exp (fma h1 (+ h2 h1) (* h0 h0))) (* (cbrt (fma h1 (+ h2 h1) (* h0 h0))) (cbrt (fma h1 (+ h2 h1) (* h0 h0)))) (cbrt (fma h1 (+ h2 h1) (* h0 h0))) (* (* (fma h1 (+ h2 h1) (* h0 h0)) (fma h1 (+ h2 h1) (* h0 h0))) (fma h1 (+ h2 h1) (* h0 h0))) (sqrt (fma h1 (+ h2 h1) (* h0 h0))) (sqrt (fma h1 (+ h2 h1) (* h0 h0))) (+ (pow h1 2) (+ (* h2 h1) (pow h0 2))) (+ (pow h1 2) (+ (* h2 h1) (pow h0 2))) (+ (pow h1 2) (+ (* h2 h1) (pow h0 2))) 0.083 * * [simplify]: iteration 0 : 40 enodes (cost 62 ) 0.085 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.087 * * [simplify]: iteration 2 : 383 enodes (cost 52 ) 0.096 * * [simplify]: iteration 3 : 2092 enodes (cost 52 ) 0.152 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.153 * * * [progress]: adding candidates to table 0.178 * * [progress]: iteration 2 / 4 0.178 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.187 * [backup-simplify]: Simplify (fma 2.0 x (pow y 2)) into (fma 2.0 x (pow y 2)) 0.187 * [approximate]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in y 0.187 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.187 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.187 * [taylor]: Taking taylor expansion of 2.0 in y 0.187 * [backup-simplify]: Simplify 2.0 into 2.0 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.187 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.187 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.187 * [taylor]: Taking taylor expansion of 2.0 in x 0.187 * [backup-simplify]: Simplify 2.0 into 2.0 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [backup-simplify]: Simplify y into y 0.187 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.188 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.188 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.188 * [taylor]: Taking taylor expansion of 2.0 in x 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.188 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.189 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.190 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.190 * [taylor]: Taking taylor expansion of 2.0 in y 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in y 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 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2.0 (* 1 x))) into (+ (* 2.0 x) (pow y 2)) 0.195 * [backup-simplify]: Simplify (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) into (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) 0.195 * [approximate]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in y 0.195 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.195 * [taylor]: Taking taylor expansion of 2.0 in y 0.195 * [backup-simplify]: Simplify 2.0 into 2.0 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [backup-simplify]: Simplify x into x 0.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.195 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.195 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 2.0 in x 0.195 * [backup-simplify]: Simplify 2.0 into 2.0 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (pow (/ 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 (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.196 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 2.0 in x 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (pow (/ 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 0.197 * [backup-simplify]: Simplify y into y 0.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.197 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.197 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.197 * [taylor]: Taking taylor expansion of 2.0 in y 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 2.0 into 2.0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 0.210 * [backup-simplify]: Simplify (fma 2.0 (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) 0.210 * [approximate]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in y 0.210 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.210 * [taylor]: Taking taylor expansion of 2.0 in y 0.210 * [backup-simplify]: Simplify 2.0 into 2.0 0.210 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.210 * [taylor]: Taking taylor expansion of -1 in y 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [backup-simplify]: Simplify x into x 0.210 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.210 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.210 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.210 * [taylor]: Taking taylor expansion of -1 in y 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ -1 1) into -1 0.210 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.210 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 2.0 in x 0.210 * [backup-simplify]: Simplify 2.0 into 2.0 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ -1 1) into -1 0.211 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.211 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.211 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.211 * [taylor]: Taking taylor expansion of 2.0 in x 0.211 * [backup-simplify]: Simplify 2.0 into 2.0 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.215 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 0.215 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 0.215 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.215 * [taylor]: Taking taylor expansion of 2.0 in y 0.215 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 -1)) into 0 0.216 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 -1))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [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 0.220 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.220 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.221 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 0.231 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying: (expm1 (fma 2.0 x (pow y 2))) (log1p (fma 2.0 x (pow y 2))) (* 2.0 x) (log (fma 2.0 x (pow y 2))) (exp (fma 2.0 x (pow y 2))) (* (cbrt (fma 2.0 x (pow y 2))) (cbrt (fma 2.0 x (pow y 2)))) (cbrt (fma 2.0 x (pow y 2))) (* (* (fma 2.0 x (pow y 2)) (fma 2.0 x (pow y 2))) (fma 2.0 x (pow y 2))) (sqrt (fma 2.0 x (pow y 2))) (sqrt (fma 2.0 x (pow y 2))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 0.231 * [simplify]: Sending expressions to egg_math: (expm1 (fma h2 h1 (pow h0 2))) (log1p (fma h2 h1 (pow h0 2))) (* h2 h1) (log (fma h2 h1 (pow h0 2))) (exp (fma h2 h1 (pow h0 2))) (* (cbrt (fma h2 h1 (pow h0 2))) (cbrt (fma h2 h1 (pow h0 2)))) (cbrt (fma h2 h1 (pow h0 2))) (* (* (fma h2 h1 (pow h0 2)) (fma h2 h1 (pow h0 2))) (fma h2 h1 (pow h0 2))) (sqrt (fma h2 h1 (pow h0 2))) (sqrt (fma h2 h1 (pow h0 2))) (+ (* h2 h1) (pow h0 2)) (+ (* h2 h1) (pow h0 2)) (+ (* h2 h1) (pow h0 2)) 0.234 * * [simplify]: iteration 0 : 24 enodes (cost 43 ) 0.236 * * [simplify]: iteration 1 : 62 enodes (cost 38 ) 0.238 * * [simplify]: iteration 2 : 198 enodes (cost 38 ) 0.243 * * [simplify]: iteration 3 : 690 enodes (cost 38 ) 0.268 * * [simplify]: iteration 4 : 4104 enodes (cost 38 ) 0.394 * * [simplify]: iteration 5 : 5001 enodes (cost 38 ) 0.394 * * * [progress]: adding candidates to table 0.420 * [progress]: [Phase 3 of 3] Extracting. 0.422 * [simplify]: Simplifying: (fma x x (fma 2.0 x (pow y 2))) 0.422 * [simplify]: Sending expressions to egg_math: (fma h1 h1 (fma h2 h1 (pow h0 2))) 0.423 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.423 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 1.132 * [regime-testing]: End program error score: 0.005125640705088136 1.150 * [regime-testing]: Target error score: 0.013876734591823979