2.179 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (* x x) (* (* y 4.0) z)) 0.026 * [simplify]: Sending expressions to egg_math: (- (* h0 h0) (* (* h1 h2) h3)) 0.028 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 64 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 79 enodes (cost 4 ) 0.034 * * [simplify]: iteration 4 : 79 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (* x x) (* (* y 4.0) z)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in (x y z) around 0 0.051 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in z 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.051 * [taylor]: Taking taylor expansion of x in z 0.051 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.051 * [taylor]: Taking taylor expansion of 4.0 in z 0.051 * [taylor]: Taking taylor expansion of (* z y) in z 0.051 * [taylor]: Taking taylor expansion of z in z 0.051 * [taylor]: Taking taylor expansion of y in z 0.051 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.051 * [taylor]: Taking taylor expansion of 4.0 in y 0.051 * [taylor]: Taking taylor expansion of (* z y) in y 0.051 * [taylor]: Taking taylor expansion of z in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.051 * [taylor]: Taking taylor expansion of 4.0 in x 0.051 * [taylor]: Taking taylor expansion of (* z y) in x 0.051 * [taylor]: Taking taylor expansion of z in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.051 * [taylor]: Taking taylor expansion of 4.0 in x 0.051 * [taylor]: Taking taylor expansion of (* z y) in x 0.052 * [taylor]: Taking taylor expansion of z in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.052 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.052 * [taylor]: Taking taylor expansion of 4.0 in y 0.052 * [taylor]: Taking taylor expansion of (* z y) in y 0.052 * [taylor]: Taking taylor expansion of z in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in z 0.054 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.054 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.054 * [taylor]: Taking taylor expansion of 4.0 in z 0.054 * [taylor]: Taking taylor expansion of z in z 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 1 in z 0.056 * [taylor]: Taking taylor expansion of 0 in z 0.057 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.061 * [taylor]: Taking taylor expansion of 0 in z 0.062 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.062 * [taylor]: Taking taylor expansion of x in z 0.062 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.062 * [taylor]: Taking taylor expansion of 4.0 in z 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.062 * [taylor]: Taking taylor expansion of (* z y) in z 0.062 * [taylor]: Taking taylor expansion of z in z 0.062 * [taylor]: Taking taylor expansion of y in z 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.063 * [taylor]: Taking taylor expansion of 4.0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.063 * [taylor]: Taking taylor expansion of (* z y) in y 0.063 * [taylor]: Taking taylor expansion of z in y 0.063 * [taylor]: Taking taylor expansion of y in 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 0.064 * [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 * [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 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 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 * [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 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 1 in z 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 * [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 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.067 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.067 * [taylor]: Taking taylor expansion of 4.0 in z 0.067 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.067 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in z 0.071 * [taylor]: Taking taylor expansion of 0 in z 0.071 * [taylor]: Taking taylor expansion of 0 in z 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of 0 in z 0.075 * [taylor]: Taking taylor expansion of 0 in z 0.076 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.076 * [taylor]: Taking taylor expansion of x in z 0.076 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.076 * [taylor]: Taking taylor expansion of 4.0 in z 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.076 * [taylor]: Taking taylor expansion of (* z y) in z 0.076 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of y in z 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.077 * [taylor]: Taking taylor expansion of 4.0 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.077 * [taylor]: Taking taylor expansion of (* z y) in y 0.077 * [taylor]: Taking taylor expansion of z in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.078 * [taylor]: Taking taylor expansion of 4.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.078 * [taylor]: Taking taylor expansion of (* z y) in x 0.078 * [taylor]: Taking taylor expansion of z in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.078 * [taylor]: Taking taylor expansion of 4.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.079 * [taylor]: Taking taylor expansion of (* z y) in x 0.079 * [taylor]: Taking taylor expansion of z in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 1 in z 0.081 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.081 * [taylor]: Taking taylor expansion of 4.0 in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.081 * [taylor]: Taking taylor expansion of (* z y) in y 0.081 * [taylor]: Taking taylor expansion of z in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.081 * [taylor]: Taking taylor expansion of 4.0 in z 0.081 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.081 * [taylor]: Taking taylor expansion of z in z 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.085 * [taylor]: Taking taylor expansion of 0 in z 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (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))) 0.091 * [simplify]: Sending expressions to egg_math: (fma h0 h0 (- (* h1 (* h2 h3)))) (fma (- h1) (* h2 h3) (* h1 (* h2 h3))) (expm1 (- (* h0 h0) (* (* h2 h3) h1))) (log1p (- (* h0 h0) (* (* h2 h3) h1))) (- (* (* h2 h3) h1)) (/ (exp (* h0 h0)) (exp (* (* h2 h3) h1))) (log (- (* h0 h0) (* (* h2 h3) h1))) (exp (- (* h0 h0) (* (* h2 h3) h1))) (* (cbrt (- (* h0 h0) (* (* h2 h3) h1))) (cbrt (- (* h0 h0) (* (* h2 h3) h1)))) (cbrt (- (* h0 h0) (* (* h2 h3) h1))) (* (* (- (* h0 h0) (* (* h2 h3) h1)) (- (* h0 h0) (* (* h2 h3) h1))) (- (* h0 h0) (* (* h2 h3) h1))) (sqrt (- (* h0 h0) (* (* h2 h3) h1))) (sqrt (- (* h0 h0) (* (* h2 h3) h1))) (- (pow (* h0 h0) 3) (pow (* (* h2 h3) h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* (* h2 h3) h1) (* (* h2 h3) h1)) (* (* h0 h0) (* (* h2 h3) h1)))) (- (* (* h2 h3) h1)) (- (* (* h0 h0) (* h0 h0)) (* (* (* h2 h3) h1) (* (* h2 h3) h1))) (+ (* h0 h0) (* (* h2 h3) h1)) (- (* (* h2 h3) h1)) (- (pow h0 2) (* h3 (* h1 h2))) (- (pow h0 2) (* h3 (* h1 h2))) (- (pow h0 2) (* h3 (* h1 h2))) 0.094 * * [simplify]: iteration 0 : 113 enodes (cost 123 ) 0.097 * * [simplify]: iteration 1 : 540 enodes (cost 111 ) 0.110 * * [simplify]: iteration 2 : 2732 enodes (cost 108 ) 0.167 * * [simplify]: iteration 3 : 5001 enodes (cost 104 ) 0.168 * [simplify]: Simplified to: (- (* x x) (* (* y 4.0) z)) 0 (expm1 (- (* x x) (* (* y 4.0) z))) (log1p (- (* x x) (* (* y 4.0) z))) (- (* (* y 4.0) z)) (exp (- (* x x) (* (* 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))) (pow (- (* x x) (* (* y 4.0) z)) 3) (sqrt (- (* x x) (* (* y 4.0) z))) (sqrt (- (* x x) (* (* y 4.0) z))) (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (fma y (* (* 4.0 z) (fma x x (* (* y 4.0) z))) (pow x 4)) (- (* (* y 4.0) z)) (fma (- (* (* y 4.0) (* y 4.0))) (* z z) (pow x 4)) (fma x x (* (* y 4.0) z)) (- (* (* y 4.0) z)) (- (* x x) (* (* y 4.0) z)) (- (* x x) (* (* y 4.0) z)) (- (* x x) (* (* y 4.0) z)) 0.169 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.214 * [approximate]: Taking taylor expansion of (fma x x (- (* 4.0 (* z y)))) in (x y z) around 0 0.214 * [taylor]: Taking taylor expansion of (fma x x (- (* 4.0 (* z y)))) in z 0.214 * [taylor]: Rewrote expression to (+ (* x x) (- (* 4.0 (* z y)))) 0.215 * [taylor]: Taking taylor expansion of (* x x) in z 0.215 * [taylor]: Taking taylor expansion of x in z 0.215 * [taylor]: Taking taylor expansion of x in z 0.215 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in z 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.215 * [taylor]: Taking taylor expansion of 4.0 in z 0.215 * [taylor]: Taking taylor expansion of (* z y) in z 0.215 * [taylor]: Taking taylor expansion of z in z 0.215 * [taylor]: Taking taylor expansion of y in z 0.215 * [taylor]: Taking taylor expansion of (fma x x (- (* 4.0 (* z y)))) in y 0.215 * [taylor]: Rewrote expression to (+ (* x x) (- (* 4.0 (* z y)))) 0.215 * [taylor]: Taking taylor expansion of (* x x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.215 * [taylor]: Taking taylor expansion of 4.0 in y 0.215 * [taylor]: Taking taylor expansion of (* z y) in y 0.215 * [taylor]: Taking taylor expansion of z in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (fma x x (- (* 4.0 (* z y)))) in x 0.215 * [taylor]: Rewrote expression to (+ (* x x) (- (* 4.0 (* z y)))) 0.215 * [taylor]: Taking taylor expansion of (* x x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (* z y) in x 0.215 * [taylor]: Taking taylor expansion of z in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (fma x x (- (* 4.0 (* z y)))) in x 0.215 * [taylor]: Rewrote expression to (+ (* x x) (- (* 4.0 (* z y)))) 0.215 * [taylor]: Taking taylor expansion of (* x x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in x 0.215 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.215 * [taylor]: Taking taylor expansion of 4.0 in x 0.215 * [taylor]: Taking taylor expansion of (* z y) in x 0.215 * [taylor]: Taking taylor expansion of z in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.216 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.216 * [taylor]: Taking taylor expansion of 4.0 in y 0.216 * [taylor]: Taking taylor expansion of (* z y) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in z 0.218 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.218 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.218 * [taylor]: Taking taylor expansion of 4.0 in z 0.218 * [taylor]: Taking taylor expansion of z in z 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [taylor]: Taking taylor expansion of 1 in z 0.220 * [taylor]: Taking taylor expansion of 0 in z 0.221 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (* 4.0 (/ 1 (* z y))))) in (x y z) around 0 0.227 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (* 4.0 (/ 1 (* z y))))) in z 0.227 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.227 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.227 * [taylor]: Taking taylor expansion of x in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.227 * [taylor]: Taking taylor expansion of x in z 0.227 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in z 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.227 * [taylor]: Taking taylor expansion of 4.0 in z 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.227 * [taylor]: Taking taylor expansion of (* z y) in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.227 * [taylor]: Taking taylor expansion of y in z 0.227 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (* 4.0 (/ 1 (* z y))))) in y 0.227 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.227 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.227 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.227 * [taylor]: Taking taylor expansion of 4.0 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.228 * [taylor]: Taking taylor expansion of (* z y) in y 0.228 * [taylor]: Taking taylor expansion of z in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (* 4.0 (/ 1 (* z y))))) in x 0.228 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.228 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in x 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.229 * [taylor]: Taking taylor expansion of (* z y) in x 0.229 * [taylor]: Taking taylor expansion of z in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (* 4.0 (/ 1 (* z y))))) in x 0.229 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.229 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in x 0.229 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.229 * [taylor]: Taking taylor expansion of 4.0 in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.229 * [taylor]: Taking taylor expansion of (* z y) in x 0.229 * [taylor]: Taking taylor expansion of z in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 1 in z 0.233 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.233 * [taylor]: Taking taylor expansion of 4.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.233 * [taylor]: Taking taylor expansion of (* z y) in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.233 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.233 * [taylor]: Taking taylor expansion of 4.0 in z 0.233 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.233 * [taylor]: Taking taylor expansion of z in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.237 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in z 0.245 * [taylor]: Taking taylor expansion of 0 in z 0.245 * [taylor]: Taking taylor expansion of 0 in z 0.245 * [taylor]: Taking taylor expansion of 0 in z 0.246 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (* 4.0 (/ 1 (* z y))))) in (x y z) around 0 0.246 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (* 4.0 (/ 1 (* z y))))) in z 0.246 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.246 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.246 * [taylor]: Taking taylor expansion of -1 in z 0.246 * [taylor]: Taking taylor expansion of x in z 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.246 * [taylor]: Taking taylor expansion of -1 in z 0.246 * [taylor]: Taking taylor expansion of x in z 0.246 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in z 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.246 * [taylor]: Taking taylor expansion of 4.0 in z 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.246 * [taylor]: Taking taylor expansion of (* z y) in z 0.246 * [taylor]: Taking taylor expansion of z in z 0.246 * [taylor]: Taking taylor expansion of y in z 0.246 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (* 4.0 (/ 1 (* z y))))) in y 0.246 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.246 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.246 * [taylor]: Taking taylor expansion of -1 in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.247 * [taylor]: Taking taylor expansion of -1 in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.247 * [taylor]: Taking taylor expansion of 4.0 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.247 * [taylor]: Taking taylor expansion of (* z y) in y 0.247 * [taylor]: Taking taylor expansion of z in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (* 4.0 (/ 1 (* z y))))) in x 0.247 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.247 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.247 * [taylor]: Taking taylor expansion of -1 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.247 * [taylor]: Taking taylor expansion of -1 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in x 0.248 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.248 * [taylor]: Taking taylor expansion of 4.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.248 * [taylor]: Taking taylor expansion of (* z y) in x 0.248 * [taylor]: Taking taylor expansion of z in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (* 4.0 (/ 1 (* z y))))) in x 0.248 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (* 4.0 (/ 1 (* z y))))) 0.248 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.248 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in x 0.249 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.249 * [taylor]: Taking taylor expansion of 4.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.249 * [taylor]: Taking taylor expansion of (* z y) in x 0.249 * [taylor]: Taking taylor expansion of z in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 1 in z 0.252 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.253 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.253 * [taylor]: Taking taylor expansion of 4.0 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.253 * [taylor]: Taking taylor expansion of (* z y) in y 0.253 * [taylor]: Taking taylor expansion of z in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.253 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.253 * [taylor]: Taking taylor expansion of 4.0 in z 0.253 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.253 * [taylor]: Taking taylor expansion of z in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.262 * [taylor]: Taking taylor expansion of 0 in z 0.263 * * * [progress]: simplifying candidates 0.263 * [simplify]: Simplifying using # : (expm1 (fma x x (- (* (* y 4.0) z)))) (log1p (fma x x (- (* (* y 4.0) z)))) (* x x) (log (fma x x (- (* (* y 4.0) z)))) (exp (fma x x (- (* (* y 4.0) z)))) (* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z))))) (cbrt (fma x x (- (* (* y 4.0) z)))) (* (* (fma x x (- (* (* y 4.0) z))) (fma x x (- (* (* y 4.0) z)))) (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* 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))) 0.263 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 h0 (- (* (* h1 h2) h3)))) (log1p (fma h0 h0 (- (* (* h1 h2) h3)))) (* h0 h0) (log (fma h0 h0 (- (* (* h1 h2) h3)))) (exp (fma h0 h0 (- (* (* h1 h2) h3)))) (* (cbrt (fma h0 h0 (- (* (* h1 h2) h3)))) (cbrt (fma h0 h0 (- (* (* h1 h2) h3))))) (cbrt (fma h0 h0 (- (* (* h1 h2) h3)))) (* (* (fma h0 h0 (- (* (* h1 h2) h3))) (fma h0 h0 (- (* (* h1 h2) h3)))) (fma h0 h0 (- (* (* h1 h2) h3)))) (sqrt (fma h0 h0 (- (* (* h1 h2) h3)))) (sqrt (fma h0 h0 (- (* (* h1 h2) h3)))) (- (pow h0 2) (* h2 (* h3 h1))) (- (pow h0 2) (* h2 (* h3 h1))) (- (pow h0 2) (* h2 (* h3 h1))) 0.266 * * [simplify]: iteration 0 : 41 enodes (cost 73 ) 0.267 * * [simplify]: iteration 1 : 98 enodes (cost 64 ) 0.270 * * [simplify]: iteration 2 : 369 enodes (cost 64 ) 0.279 * * [simplify]: iteration 3 : 1696 enodes (cost 64 ) 0.338 * * [simplify]: iteration 4 : 5001 enodes (cost 64 ) 0.339 * [simplify]: Simplified to: (expm1 (fma x x (- (* (* y 4.0) z)))) (log1p (fma x x (- (* (* y 4.0) z)))) (pow x 2) (log (fma x x (- (* (* y 4.0) z)))) (exp (fma x x (- (* (* y 4.0) z)))) (* (cbrt (fma x x (- (* (* y 4.0) z)))) (cbrt (fma x x (- (* (* y 4.0) z))))) (cbrt (fma x x (- (* (* y 4.0) z)))) (pow (fma x x (- (* (* y 4.0) z))) 3) (sqrt (fma x x (- (* (* y 4.0) z)))) (sqrt (fma x x (- (* (* y 4.0) z)))) (fma x x (- (* (* y 4.0) z))) (fma x x (- (* (* y 4.0) z))) (fma x x (- (* (* y 4.0) z))) 0.339 * * * [progress]: adding candidates to table 0.366 * [progress]: [Phase 3 of 3] Extracting. 0.368 * [simplify]: Simplifying using # : (fma x x (- (* (* y 4.0) z))) 0.368 * [simplify]: Sending expressions to egg_math: (fma h0 h0 (- (* (* h1 h2) h3))) 0.369 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.369 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.369 * * [simplify]: iteration 2 : 22 enodes (cost 4 ) 0.369 * [simplify]: Simplified to: (fma x x (- (* (* y 4.0) z))) 1.099 * [regime-testing]: End program error score: 0.0688317242781249