1.687 * [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 x) (* (* y 4.0) z)) 0.024 * [simplify]: Sending expressions to egg_math: (- (* h3 h3) (* (* h2 h1) h0)) 0.026 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.029 * * [simplify]: iteration 2 : 64 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 79 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 79 enodes (cost 4 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) z)) into (- (pow x 2) (* 4.0 (* z y))) 0.049 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in (x y z) around 0 0.049 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in z 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.049 * [taylor]: Taking taylor expansion of x in z 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.049 * [taylor]: Taking taylor expansion of 4.0 in z 0.049 * [backup-simplify]: Simplify 4.0 into 4.0 0.049 * [taylor]: Taking taylor expansion of (* z y) in z 0.049 * [taylor]: Taking taylor expansion of z in z 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in z 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.049 * [taylor]: Taking taylor expansion of 4.0 in y 0.049 * [backup-simplify]: Simplify 4.0 into 4.0 0.049 * [taylor]: Taking taylor expansion of (* z y) in y 0.049 * [taylor]: Taking taylor expansion of z in y 0.049 * [backup-simplify]: Simplify z into z 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 0.049 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.049 * [taylor]: Taking taylor expansion of 4.0 in x 0.049 * [backup-simplify]: Simplify 4.0 into 4.0 0.049 * [taylor]: Taking taylor expansion of (* z y) in x 0.049 * [taylor]: Taking taylor expansion of z in x 0.049 * [backup-simplify]: Simplify z into z 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.049 * [taylor]: Taking taylor expansion of 4.0 in x 0.049 * [backup-simplify]: Simplify 4.0 into 4.0 0.049 * [taylor]: Taking taylor expansion of (* z y) in x 0.049 * [taylor]: Taking taylor expansion of z in x 0.049 * [backup-simplify]: Simplify z into z 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* z y) into (* z y) 0.050 * [backup-simplify]: Simplify (* 4.0 (* z y)) into (* 4.0 (* z y)) 0.050 * [backup-simplify]: Simplify (- (* 4.0 (* z y))) into (- (* 4.0 (* z y))) 0.050 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (* z y)))) into (- (* 4.0 (* z y))) 0.050 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.050 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.050 * [taylor]: Taking taylor expansion of 4.0 in y 0.050 * [backup-simplify]: Simplify 4.0 into 4.0 0.050 * [taylor]: Taking taylor expansion of (* z y) in y 0.050 * [taylor]: Taking taylor expansion of z in y 0.050 * [backup-simplify]: Simplify z into z 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* z 0) into 0 0.050 * [backup-simplify]: Simplify (* 4.0 0) into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in z 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.051 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (* z y))) into 0 0.051 * [backup-simplify]: Simplify (- 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.052 * [backup-simplify]: Simplify (+ (* 4.0 z) (* 0 0)) into (* 4.0 z) 0.052 * [backup-simplify]: Simplify (- (* 4.0 z)) into (- (* 4.0 z)) 0.052 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.052 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.052 * [taylor]: Taking taylor expansion of 4.0 in z 0.052 * [backup-simplify]: Simplify 4.0 into 4.0 0.052 * [taylor]: Taking taylor expansion of z in z 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 4.0 0) into 0 0.053 * [backup-simplify]: Simplify (- 0) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.054 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (* z y)))) into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of 1 in z 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of 0 in z 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 z) (* 0 0))) into 0 0.055 * [backup-simplify]: Simplify (- 0) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in z 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 0.057 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.057 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* z y))))) into 0 0.058 * [backup-simplify]: Simplify (- 0) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [taylor]: Taking taylor expansion of 0 in z 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [taylor]: Taking taylor expansion of 0 in z 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [taylor]: Taking taylor expansion of 0 in z 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 z) (* 0 0)))) into 0 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* (- 4.0) (* z (* y 1))) (* 1 (pow (* 1 (* 1 x)) 2))) into (- (pow x 2) (* 4.0 (* z y))) 0.061 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 z))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) 0.061 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.061 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.061 * [taylor]: Taking taylor expansion of 4.0 in z 0.061 * [backup-simplify]: Simplify 4.0 into 4.0 0.061 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.061 * [taylor]: Taking taylor expansion of (* z y) in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in z 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* 0 y) into 0 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.062 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.062 * [taylor]: Taking taylor expansion of 4.0 in y 0.062 * [backup-simplify]: Simplify 4.0 into 4.0 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.062 * [taylor]: Taking taylor expansion of (* z y) in y 0.062 * [taylor]: Taking taylor expansion of z in y 0.062 * [backup-simplify]: Simplify z into z 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 (* z 0) into 0 0.062 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.062 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.063 * [taylor]: Taking taylor expansion of 4.0 in x 0.063 * [backup-simplify]: Simplify 4.0 into 4.0 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.063 * [taylor]: Taking taylor expansion of (* z y) in x 0.063 * [taylor]: Taking taylor expansion of z in x 0.063 * [backup-simplify]: Simplify z into z 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* z y) into (* z y) 0.063 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.064 * [taylor]: Taking taylor expansion of 4.0 in x 0.064 * [backup-simplify]: Simplify 4.0 into 4.0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.064 * [taylor]: Taking taylor expansion of (* z y) in x 0.064 * [taylor]: Taking taylor expansion of z in x 0.064 * [backup-simplify]: Simplify z into z 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (* z y) into (* z y) 0.064 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [taylor]: Taking taylor expansion of 1 in z 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (* 4.0 (/ 1 (* z y))) into (/ 4.0 (* z y)) 0.067 * [backup-simplify]: Simplify (- (/ 4.0 (* z y))) into (- (* 4.0 (/ 1 (* z y)))) 0.067 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (* z y))))) into (- (* 4.0 (/ 1 (* z y)))) 0.067 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.067 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.067 * [taylor]: Taking taylor expansion of 4.0 in y 0.067 * [backup-simplify]: Simplify 4.0 into 4.0 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.067 * [taylor]: Taking taylor expansion of (* z y) in y 0.067 * [taylor]: Taking taylor expansion of z in y 0.067 * [backup-simplify]: Simplify z into z 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* z 0) into 0 0.067 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.068 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.068 * [backup-simplify]: Simplify (* 4.0 (/ 1 z)) into (/ 4.0 z) 0.068 * [backup-simplify]: Simplify (- (/ 4.0 z)) into (- (* 4.0 (/ 1 z))) 0.068 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.068 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.068 * [taylor]: Taking taylor expansion of 4.0 in z 0.068 * [backup-simplify]: Simplify 4.0 into 4.0 0.068 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.068 * [taylor]: Taking taylor expansion of z in z 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.068 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.069 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.069 * [taylor]: Taking taylor expansion of 0 in z 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [taylor]: Taking taylor expansion of 0 in z 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (* z y)))) into 0 0.071 * [backup-simplify]: Simplify (- 0) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 z))) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))) (* 0 (/ 0 (* z y))))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (* z y))))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.077 * [backup-simplify]: Simplify (- 0) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (* (- 4.0) (* (/ 1 (/ 1 z)) (* (/ 1 (/ 1 y)) 1)))) into (- (pow x 2) (* 4.0 (* z y))) 0.078 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- z)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) 0.078 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.078 * [taylor]: Taking taylor expansion of x in z 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.078 * [taylor]: Taking taylor expansion of 4.0 in z 0.078 * [backup-simplify]: Simplify 4.0 into 4.0 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.078 * [taylor]: Taking taylor expansion of (* z y) in z 0.078 * [taylor]: Taking taylor expansion of z in z 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in z 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (* 0 y) into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [backup-simplify]: Simplify x into x 0.079 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.079 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.079 * [taylor]: Taking taylor expansion of 4.0 in y 0.079 * [backup-simplify]: Simplify 4.0 into 4.0 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.079 * [taylor]: Taking taylor expansion of (* z y) in y 0.079 * [taylor]: Taking taylor expansion of z in y 0.079 * [backup-simplify]: Simplify z into z 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* z 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.079 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.080 * [taylor]: Taking taylor expansion of 4.0 in x 0.080 * [backup-simplify]: Simplify 4.0 into 4.0 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.080 * [taylor]: Taking taylor expansion of (* z y) in x 0.080 * [taylor]: Taking taylor expansion of z in x 0.080 * [backup-simplify]: Simplify z into z 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (* z y) into (* z y) 0.080 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.081 * [taylor]: Taking taylor expansion of 4.0 in x 0.081 * [backup-simplify]: Simplify 4.0 into 4.0 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.081 * [taylor]: Taking taylor expansion of (* z y) in x 0.081 * [taylor]: Taking taylor expansion of z in x 0.081 * [backup-simplify]: Simplify z into z 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (* z y) into (* z y) 0.081 * [backup-simplify]: Simplify (/ 1 (* z y)) into (/ 1 (* z y)) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [taylor]: Taking taylor expansion of 1 in z 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [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 (* 4.0 (/ 1 (* z y))) into (/ 4.0 (* z y)) 0.083 * [backup-simplify]: Simplify (- (/ 4.0 (* z y))) into (- (* 4.0 (/ 1 (* z y)))) 0.084 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (* z y))))) into (- (* 4.0 (/ 1 (* z y)))) 0.084 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.084 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.084 * [taylor]: Taking taylor expansion of 4.0 in y 0.084 * [backup-simplify]: Simplify 4.0 into 4.0 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.084 * [taylor]: Taking taylor expansion of (* z y) in y 0.084 * [taylor]: Taking taylor expansion of z in y 0.084 * [backup-simplify]: Simplify z into z 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* z 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.084 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.084 * [backup-simplify]: Simplify (* 4.0 (/ 1 z)) into (/ 4.0 z) 0.084 * [backup-simplify]: Simplify (- (/ 4.0 z)) into (- (* 4.0 (/ 1 z))) 0.084 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.084 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.084 * [taylor]: Taking taylor expansion of 4.0 in z 0.084 * [backup-simplify]: Simplify 4.0 into 4.0 0.084 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.084 * [taylor]: Taking taylor expansion of z in z 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.085 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.085 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (* z y)))) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 z))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [taylor]: Taking taylor expansion of 0 in z 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* z y)) (/ 0 (* z y))) (* 0 (/ 0 (* z y))))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (* z y))))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (* (- 4.0) (* (/ 1 (/ 1 (- z))) (* (/ 1 (/ 1 (- y))) 1)))) into (- (pow x 2) (* 4.0 (* z y))) 0.094 * * * [progress]: simplifying candidates 0.095 * [simplify]: Simplifying: (fma x x (- (* z (* y 4.0)))) (fma (- z) (* y 4.0) (* z (* y 4.0))) (expm1 (- (* x x) (* (* y 4.0) z))) (log1p (- (* x x) (* (* y 4.0) z))) (- (* (* y 4.0) z)) (/ (exp (* x x)) (exp (* (* y 4.0) z))) (log (- (* x x) (* (* y 4.0) z))) (exp (- (* x x) (* (* y 4.0) z))) (* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z)))) (cbrt (- (* x x) (* (* y 4.0) z))) (* (* (- (* x x) (* (* y 4.0) z)) (- (* x x) (* (* y 4.0) z))) (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))) (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* x x) (* (* y 4.0) z)))) (- (* (* y 4.0) z)) (- (* (* x x) (* x x)) (* (* (* y 4.0) z) (* (* y 4.0) z))) (+ (* x x) (* (* y 4.0) z)) (- (* (* y 4.0) z)) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) 0.095 * [simplify]: Sending expressions to egg_math: (fma h3 h3 (- (* h2 (* h1 h0)))) (fma (- h2) (* h1 h0) (* h2 (* h1 h0))) (expm1 (- (* h3 h3) (* (* h1 h0) h2))) (log1p (- (* h3 h3) (* (* h1 h0) h2))) (- (* (* h1 h0) h2)) (/ (exp (* h3 h3)) (exp (* (* h1 h0) h2))) (log (- (* h3 h3) (* (* h1 h0) h2))) (exp (- (* h3 h3) (* (* h1 h0) h2))) (* (cbrt (- (* h3 h3) (* (* h1 h0) h2))) (cbrt (- (* h3 h3) (* (* h1 h0) h2)))) (cbrt (- (* h3 h3) (* (* h1 h0) h2))) (* (* (- (* h3 h3) (* (* h1 h0) h2)) (- (* h3 h3) (* (* h1 h0) h2))) (- (* h3 h3) (* (* h1 h0) h2))) (sqrt (- (* h3 h3) (* (* h1 h0) h2))) (sqrt (- (* h3 h3) (* (* h1 h0) h2))) (- (pow (* h3 h3) 3) (pow (* (* h1 h0) h2) 3)) (+ (* (* h3 h3) (* h3 h3)) (+ (* (* (* h1 h0) h2) (* (* h1 h0) h2)) (* (* h3 h3) (* (* h1 h0) h2)))) (- (* (* h1 h0) h2)) (- (* (* h3 h3) (* h3 h3)) (* (* (* h1 h0) h2) (* (* h1 h0) h2))) (+ (* h3 h3) (* (* h1 h0) h2)) (- (* (* h1 h0) h2)) (- (pow h3 2) (* h0 (* h2 h1))) (- (pow h3 2) (* h0 (* h2 h1))) (- (pow h3 2) (* h0 (* h2 h1))) 0.097 * * [simplify]: iteration 0 : 113 enodes (cost 123 ) 0.100 * * [simplify]: iteration 1 : 540 enodes (cost 111 ) 0.114 * * [simplify]: iteration 2 : 2732 enodes (cost 108 ) 0.172 * * [simplify]: iteration 3 : 5001 enodes (cost 104 ) 0.173 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * [progress]: generating series expansions 0.219 * * * [progress]: simplifying candidates 0.219 * [simplify]: Simplifying: 0.219 * [simplify]: Sending expressions to egg_math: 0.221 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.221 * * * [progress]: adding candidates to table 0.221 * [progress]: [Phase 3 of 3] Extracting. 0.223 * [simplify]: Simplifying: (fma x x (- (* (* y 4.0) z))) 0.224 * [simplify]: Sending expressions to egg_math: (fma h3 h3 (- (* (* h2 h1) h0))) 0.224 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.224 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.225 * * [simplify]: iteration 2 : 22 enodes (cost 4 ) 0.862 * [regime-testing]: End program error score: 0.02825353169146143