4.660 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (+ (+ (/ x 2.0) (* y x)) z) 0.017 * [simplify]: Sending expressions to egg_math: (+ (+ (/ h0 h1) (* h2 h0)) h3) 0.020 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 28 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 30 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 30 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (+ (fma x y z) (/ x 2.0)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (+ (fma x y z) (* 0.5 x)) in (x y z) around 0 0.046 * [taylor]: Taking taylor expansion of (+ (fma x y z) (* 0.5 x)) in z 0.046 * [taylor]: Taking taylor expansion of (fma x y z) in z 0.046 * [taylor]: Rewrote expression to (+ (* x y) z) 0.046 * [taylor]: Taking taylor expansion of (* x y) in z 0.046 * [taylor]: Taking taylor expansion of x in z 0.046 * [taylor]: Taking taylor expansion of y in z 0.046 * [taylor]: Taking taylor expansion of z in z 0.046 * [taylor]: Taking taylor expansion of (* 0.5 x) in z 0.046 * [taylor]: Taking taylor expansion of 0.5 in z 0.046 * [taylor]: Taking taylor expansion of x in z 0.046 * [taylor]: Taking taylor expansion of (+ (fma x y z) (* 0.5 x)) in y 0.046 * [taylor]: Taking taylor expansion of (fma x y z) in y 0.046 * [taylor]: Rewrote expression to (+ (* x y) z) 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of z in y 0.046 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (+ (fma x y z) (* 0.5 x)) in x 0.046 * [taylor]: Taking taylor expansion of (fma x y z) in x 0.046 * [taylor]: Rewrote expression to (+ (* x y) z) 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (fma x y z) (* 0.5 x)) in x 0.046 * [taylor]: Taking taylor expansion of (fma x y z) in x 0.046 * [taylor]: Rewrote expression to (+ (* x y) z) 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.047 * [taylor]: Taking taylor expansion of 0.5 in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of z in y 0.047 * [taylor]: Taking taylor expansion of z in z 0.048 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in z 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in z 0.050 * [taylor]: Taking taylor expansion of 1 in z 0.050 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 y) (/ 1 z)) (* 0.5 (/ 1 x))) in (x y z) around 0 0.050 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 y) (/ 1 z)) (* 0.5 (/ 1 x))) in z 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) (/ 1 z)) in z 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) (/ 1 z)) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in z 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.051 * [taylor]: Taking taylor expansion of x in z 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.051 * [taylor]: Taking taylor expansion of y in z 0.051 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.051 * [taylor]: Taking taylor expansion of z in z 0.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in z 0.051 * [taylor]: Taking taylor expansion of 0.5 in z 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.051 * [taylor]: Taking taylor expansion of x in z 0.051 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 y) (/ 1 z)) (* 0.5 (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) (/ 1 z)) in y 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) (/ 1 z)) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.052 * [taylor]: Taking taylor expansion of z in y 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of 0.5 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 y) (/ 1 z)) (* 0.5 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) (/ 1 z)) in x 0.052 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) (/ 1 z)) 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.052 * [taylor]: Taking taylor expansion of z in x 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 y) (/ 1 z)) (* 0.5 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 y) (/ 1 z)) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 y)) (/ 1 z)) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.053 * [taylor]: Taking taylor expansion of z in x 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.054 * [taylor]: Taking taylor expansion of 1 in z 0.056 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.056 * [taylor]: Taking taylor expansion of z in y 0.056 * [taylor]: Taking taylor expansion of 0.5 in z 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.059 * [taylor]: Taking taylor expansion of z in z 0.059 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 y) (/ -1 z)) (* 0.5 (/ 1 x))) in (x y z) around 0 0.060 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 y) (/ -1 z)) (* 0.5 (/ 1 x))) in z 0.060 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) (/ -1 z)) in z 0.060 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) (/ -1 z)) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in z 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in z 0.060 * [taylor]: Taking taylor expansion of -1 in z 0.060 * [taylor]: Taking taylor expansion of x in z 0.060 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.060 * [taylor]: Taking taylor expansion of -1 in z 0.060 * [taylor]: Taking taylor expansion of y in z 0.060 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.060 * [taylor]: Taking taylor expansion of -1 in z 0.060 * [taylor]: Taking taylor expansion of z in z 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in z 0.061 * [taylor]: Taking taylor expansion of 0.5 in z 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.061 * [taylor]: Taking taylor expansion of x in z 0.061 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 y) (/ -1 z)) (* 0.5 (/ 1 x))) in y 0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) (/ -1 z)) in y 0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) (/ -1 z)) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) 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 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of z in y 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 y) (/ -1 z)) (* 0.5 (/ 1 x))) in x 0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) (/ -1 z)) in x 0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) (/ -1 z)) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of z in x 0.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 0.5 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 y) (/ -1 z)) (* 0.5 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 y) (/ -1 z)) in x 0.062 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 y)) (/ -1 z)) 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.062 * [taylor]: Taking taylor expansion of -1 in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of z in x 0.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 0.5 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of 1 in z 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.066 * [taylor]: Taking taylor expansion of z in y 0.067 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.067 * [taylor]: Taking taylor expansion of 0.5 in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.070 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.070 * [taylor]: Taking taylor expansion of z in z 0.071 * [taylor]: Taking taylor expansion of 0 in z 0.072 * * * [progress]: simplifying candidates 0.073 * [simplify]: Simplifying using # : (expm1 (+ (fma x y z) (/ x 2.0))) (log1p (+ (fma x y z) (/ x 2.0))) (* (exp (fma x y z)) (exp (/ x 2.0))) (log (+ (fma x y z) (/ x 2.0))) (exp (+ (fma x y z) (/ x 2.0))) (* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0)))) (cbrt (+ (fma x y z) (/ x 2.0))) (* (* (+ (fma x y z) (/ x 2.0)) (+ (fma x y z) (/ x 2.0))) (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))) (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)) (+ (* (fma x y z) (fma x y z)) (- (* (/ x 2.0) (/ x 2.0)) (* (fma x y z) (/ x 2.0)))) (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))) (- (fma x y z) (/ x 2.0)) (+ (fma x y z) (/ x 2.0)) (+ z (/ x 2.0)) (+ (* 0.5 x) (+ z (* x y))) (+ (* 0.5 x) (+ z (* x y))) (+ (* 0.5 x) (+ z (* x y))) 0.073 * [simplify]: Sending expressions to egg_math: (expm1 (+ (fma h0 h1 h2) (/ h0 h3))) (log1p (+ (fma h0 h1 h2) (/ h0 h3))) (* (exp (fma h0 h1 h2)) (exp (/ h0 h3))) (log (+ (fma h0 h1 h2) (/ h0 h3))) (exp (+ (fma h0 h1 h2) (/ h0 h3))) (* (cbrt (+ (fma h0 h1 h2) (/ h0 h3))) (cbrt (+ (fma h0 h1 h2) (/ h0 h3)))) (cbrt (+ (fma h0 h1 h2) (/ h0 h3))) (* (* (+ (fma h0 h1 h2) (/ h0 h3)) (+ (fma h0 h1 h2) (/ h0 h3))) (+ (fma h0 h1 h2) (/ h0 h3))) (sqrt (+ (fma h0 h1 h2) (/ h0 h3))) (sqrt (+ (fma h0 h1 h2) (/ h0 h3))) (+ (pow (fma h0 h1 h2) 3) (pow (/ h0 h3) 3)) (+ (* (fma h0 h1 h2) (fma h0 h1 h2)) (- (* (/ h0 h3) (/ h0 h3)) (* (fma h0 h1 h2) (/ h0 h3)))) (- (* (fma h0 h1 h2) (fma h0 h1 h2)) (* (/ h0 h3) (/ h0 h3))) (- (fma h0 h1 h2) (/ h0 h3)) (+ (fma h0 h1 h2) (/ h0 h3)) (+ h2 (/ h0 h3)) (+ (* h4 h0) (+ h2 (* h0 h1))) (+ (* h4 h0) (+ h2 (* h0 h1))) (+ (* h4 h0) (+ h2 (* h0 h1))) 0.075 * * [simplify]: iteration 0 : 95 enodes (cost 90 ) 0.078 * * [simplify]: iteration 1 : 307 enodes (cost 79 ) 0.083 * * [simplify]: iteration 2 : 1287 enodes (cost 79 ) 0.105 * * [simplify]: iteration 3 : 5001 enodes (cost 79 ) 0.105 * [simplify]: Simplified to: (expm1 (+ (fma x y z) (/ x 2.0))) (log1p (+ (fma x y z) (/ x 2.0))) (exp (+ (fma x y z) (/ x 2.0))) (log (+ (fma x y z) (/ x 2.0))) (exp (+ (fma x y z) (/ x 2.0))) (* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0)))) (cbrt (+ (fma x y z) (/ x 2.0))) (pow (+ (fma x y z) (/ x 2.0)) 3) (sqrt (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))) (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)) (fma (/ x 2.0) (- (/ x 2.0) (fma x y z)) (* (fma x y z) (fma x y z))) (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))) (- (fma x y z) (/ x 2.0)) (+ (fma x y z) (/ x 2.0)) (+ z (/ x 2.0)) (fma x 0.5 (fma x y z)) (fma x 0.5 (fma x y z)) (fma x 0.5 (fma x y z)) 0.106 * * * [progress]: adding candidates to table 0.148 * * [progress]: iteration 2 / 4 0.148 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.156 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (+ z (* x y))) in (x y z) around 0 0.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (+ z (* x y))) in z 0.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in z 0.191 * [taylor]: Taking taylor expansion of 0.5 in z 0.191 * [taylor]: Taking taylor expansion of x in z 0.191 * [taylor]: Taking taylor expansion of (+ z (* x y)) in z 0.191 * [taylor]: Taking taylor expansion of z in z 0.191 * [taylor]: Taking taylor expansion of (* x y) in z 0.191 * [taylor]: Taking taylor expansion of x in z 0.191 * [taylor]: Taking taylor expansion of y in z 0.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (+ z (* x y))) in y 0.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.191 * [taylor]: Taking taylor expansion of 0.5 in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (+ z (* x y)) in y 0.191 * [taylor]: Taking taylor expansion of z in y 0.191 * [taylor]: Taking taylor expansion of (* x y) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (+ z (* x y))) in x 0.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.191 * [taylor]: Taking taylor expansion of 0.5 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (+ z (* x y)) in x 0.191 * [taylor]: Taking taylor expansion of z in x 0.191 * [taylor]: Taking taylor expansion of (* x y) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (+ z (* x y))) in x 0.191 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.192 * [taylor]: Taking taylor expansion of 0.5 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ z (* x y)) in x 0.192 * [taylor]: Taking taylor expansion of z in x 0.192 * [taylor]: Taking taylor expansion of (* x y) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of z in y 0.192 * [taylor]: Taking taylor expansion of z in z 0.193 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0.5 in y 0.193 * [taylor]: Taking taylor expansion of 0.5 in z 0.194 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in z 0.195 * [taylor]: Taking taylor expansion of 1 in z 0.196 * [approximate]: Taking taylor expansion of (+ (/ 1 z) (+ (* 0.5 (/ 1 x)) (/ 1 (* x y)))) in (x y z) around 0 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (+ (* 0.5 (/ 1 x)) (/ 1 (* x y)))) in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.196 * [taylor]: Taking taylor expansion of z in z 0.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (/ 1 (* x y))) in z 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in z 0.196 * [taylor]: Taking taylor expansion of 0.5 in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.196 * [taylor]: Taking taylor expansion of x in z 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.196 * [taylor]: Taking taylor expansion of (* x y) in z 0.196 * [taylor]: Taking taylor expansion of x in z 0.196 * [taylor]: Taking taylor expansion of y in z 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (+ (* 0.5 (/ 1 x)) (/ 1 (* x y)))) in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.196 * [taylor]: Taking taylor expansion of z in y 0.196 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (/ 1 (* x y))) in y 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.196 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.196 * [taylor]: Taking taylor expansion of (* x y) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (+ (* 0.5 (/ 1 x)) (/ 1 (* x y)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.197 * [taylor]: Taking taylor expansion of z in x 0.197 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (/ 1 (* x y))) in x 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.197 * [taylor]: Taking taylor expansion of (* x y) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (+ (* 0.5 (/ 1 x)) (/ 1 (* x y)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.197 * [taylor]: Taking taylor expansion of z in x 0.197 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) (/ 1 (* x y))) in x 0.197 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.198 * [taylor]: Taking taylor expansion of (* x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [taylor]: Taking taylor expansion of 1 in z 0.200 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.200 * [taylor]: Taking taylor expansion of z in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in z 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.203 * [taylor]: Taking taylor expansion of z in z 0.204 * [taylor]: Taking taylor expansion of 0 in z 0.204 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 z) (* 0.5 (/ 1 x)))) in (x y z) around 0 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 z) (* 0.5 (/ 1 x)))) in z 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.204 * [taylor]: Taking taylor expansion of (* x y) in z 0.204 * [taylor]: Taking taylor expansion of x in z 0.204 * [taylor]: Taking taylor expansion of y in z 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 0.5 (/ 1 x))) in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.205 * [taylor]: Taking taylor expansion of z in z 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in z 0.205 * [taylor]: Taking taylor expansion of 0.5 in z 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.205 * [taylor]: Taking taylor expansion of x in z 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 z) (* 0.5 (/ 1 x)))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.205 * [taylor]: Taking taylor expansion of (* x y) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 0.5 (/ 1 x))) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.205 * [taylor]: Taking taylor expansion of z in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 z) (* 0.5 (/ 1 x)))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 0.5 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.206 * [taylor]: Taking taylor expansion of z in x 0.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of 0.5 in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (+ (/ 1 z) (* 0.5 (/ 1 x)))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.206 * [taylor]: Taking taylor expansion of (* x y) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 0.5 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.207 * [taylor]: Taking taylor expansion of z in x 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 0.5 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [taylor]: Taking taylor expansion of 1 in z 0.209 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.209 * [taylor]: Taking taylor expansion of z in y 0.211 * [taylor]: Taking taylor expansion of (- 0.5) in z 0.211 * [taylor]: Taking taylor expansion of 0.5 in z 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.213 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.213 * [taylor]: Taking taylor expansion of z in z 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.215 * * * [progress]: simplifying candidates 0.215 * [simplify]: Simplifying using # : (expm1 (+ (* x y) (+ z (/ x 2.0)))) (log1p (+ (* x y) (+ z (/ x 2.0)))) (* (exp (* x y)) (* (exp z) (exp (/ x 2.0)))) (* (exp (* x y)) (exp (+ z (/ x 2.0)))) (log (+ (* x y) (+ z (/ x 2.0)))) (exp (+ (* x y) (+ z (/ x 2.0)))) (* (cbrt (+ (* x y) (+ z (/ x 2.0)))) (cbrt (+ (* x y) (+ z (/ x 2.0))))) (cbrt (+ (* x y) (+ z (/ x 2.0)))) (* (* (+ (* x y) (+ z (/ x 2.0))) (+ (* x y) (+ z (/ x 2.0)))) (+ (* x y) (+ z (/ x 2.0)))) (sqrt (+ (* x y) (+ z (/ x 2.0)))) (sqrt (+ (* x y) (+ z (/ x 2.0)))) (+ (pow (* x y) 3) (pow (+ z (/ x 2.0)) 3)) (+ (* (* x y) (* x y)) (- (* (+ z (/ x 2.0)) (+ z (/ x 2.0))) (* (* x y) (+ z (/ x 2.0))))) (- (* (* x y) (* x y)) (* (+ z (/ x 2.0)) (+ z (/ x 2.0)))) (- (* x y) (+ z (/ x 2.0))) (+ (* x y) z) (+ (* 0.5 x) (+ z (* x y))) (+ (* 0.5 x) (+ z (* x y))) (+ (* 0.5 x) (+ z (* x y))) 0.216 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h0 h1) (+ h2 (/ h0 h3)))) (log1p (+ (* h0 h1) (+ h2 (/ h0 h3)))) (* (exp (* h0 h1)) (* (exp h2) (exp (/ h0 h3)))) (* (exp (* h0 h1)) (exp (+ h2 (/ h0 h3)))) (log (+ (* h0 h1) (+ h2 (/ h0 h3)))) (exp (+ (* h0 h1) (+ h2 (/ h0 h3)))) (* (cbrt (+ (* h0 h1) (+ h2 (/ h0 h3)))) (cbrt (+ (* h0 h1) (+ h2 (/ h0 h3))))) (cbrt (+ (* h0 h1) (+ h2 (/ h0 h3)))) (* (* (+ (* h0 h1) (+ h2 (/ h0 h3))) (+ (* h0 h1) (+ h2 (/ h0 h3)))) (+ (* h0 h1) (+ h2 (/ h0 h3)))) (sqrt (+ (* h0 h1) (+ h2 (/ h0 h3)))) (sqrt (+ (* h0 h1) (+ h2 (/ h0 h3)))) (+ (pow (* h0 h1) 3) (pow (+ h2 (/ h0 h3)) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (+ h2 (/ h0 h3)) (+ h2 (/ h0 h3))) (* (* h0 h1) (+ h2 (/ h0 h3))))) (- (* (* h0 h1) (* h0 h1)) (* (+ h2 (/ h0 h3)) (+ h2 (/ h0 h3)))) (- (* h0 h1) (+ h2 (/ h0 h3))) (+ (* h0 h1) h2) (+ (* h4 h0) (+ h2 (* h0 h1))) (+ (* h4 h0) (+ h2 (* h0 h1))) (+ (* h4 h0) (+ h2 (* h0 h1))) 0.218 * * [simplify]: iteration 0 : 125 enodes (cost 108 ) 0.221 * * [simplify]: iteration 1 : 469 enodes (cost 95 ) 0.231 * * [simplify]: iteration 2 : 1959 enodes (cost 95 ) 0.262 * * [simplify]: iteration 3 : 5001 enodes (cost 95 ) 0.263 * [simplify]: Simplified to: (expm1 (+ (* x y) (+ z (/ x 2.0)))) (log1p (+ (* x y) (+ z (/ x 2.0)))) (exp (+ (* x y) (+ z (/ x 2.0)))) (exp (+ (* x y) (+ z (/ x 2.0)))) (log (+ (* x y) (+ z (/ x 2.0)))) (exp (+ (* x y) (+ z (/ x 2.0)))) (* (cbrt (+ (* x y) (+ z (/ x 2.0)))) (cbrt (+ (* x y) (+ z (/ x 2.0))))) (cbrt (+ (* x y) (+ z (/ x 2.0)))) (pow (fma x y (+ z (/ x 2.0))) 3) (sqrt (+ (* x y) (+ z (/ x 2.0)))) (sqrt (+ (* x y) (+ z (/ x 2.0)))) (+ (pow (* x y) 3) (pow (+ z (/ x 2.0)) 3)) (fma (* x x) (* y y) (* (+ z (/ x 2.0)) (- (+ z (/ x 2.0)) (* x y)))) (* (fma x y (+ z (/ x 2.0))) (- (* x y) (+ z (/ x 2.0)))) (- (* x y) (+ z (/ x 2.0))) (fma x y z) (fma x 0.5 (fma x y z)) (fma x 0.5 (fma x y z)) (fma x 0.5 (fma x y z)) 0.263 * * * [progress]: adding candidates to table 0.298 * * [progress]: iteration 3 / 4 0.298 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * [progress]: generating series expansions 0.304 * * * [progress]: simplifying candidates 0.305 * [simplify]: Simplifying using # : 0.305 * [simplify]: Sending expressions to egg_math: 0.307 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.307 * [simplify]: Simplified to: 0.307 * * * [progress]: adding candidates to table 0.307 * [progress]: [Phase 3 of 3] Extracting. 0.309 * [simplify]: Simplifying using # : (fma x y (+ z (/ x 2.0))) 0.309 * [simplify]: Sending expressions to egg_math: (fma h0 h1 (+ h2 (/ h0 h3))) 0.309 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.309 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.309 * [simplify]: Simplified to: (fma x y (+ z (/ x 2.0))) 0.841 * [regime-testing]: End program error score: 0.0006250781347668458