1.983 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (* x x) (* (* y 4.0) z)) 0.028 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.031 * * [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 / 2 ] rewriting at (2 2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.053 * [approximate]: Taking taylor expansion of (* 4.0 (* z y)) in (y z) around 0 0.053 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.053 * [taylor]: Taking taylor expansion of 4.0 in z 0.053 * [taylor]: Taking taylor expansion of (* z y) in z 0.053 * [taylor]: Taking taylor expansion of z in z 0.053 * [taylor]: Taking taylor expansion of y in z 0.053 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.053 * [taylor]: Taking taylor expansion of 4.0 in y 0.053 * [taylor]: Taking taylor expansion of (* z y) in y 0.053 * [taylor]: Taking taylor expansion of z in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.053 * [taylor]: Taking taylor expansion of 4.0 in y 0.053 * [taylor]: Taking taylor expansion of (* z y) in y 0.053 * [taylor]: Taking taylor expansion of z in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [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 in z 0.054 * [taylor]: Taking taylor expansion of z in z 0.056 * [taylor]: Taking taylor expansion of 0 in z 0.058 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [approximate]: Taking taylor expansion of (/ 4.0 (* z y)) in (y z) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in z 0.060 * [taylor]: Taking taylor expansion of 4.0 in z 0.060 * [taylor]: Taking taylor expansion of (* z y) in z 0.060 * [taylor]: Taking taylor expansion of z in z 0.060 * [taylor]: Taking taylor expansion of y in z 0.060 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in y 0.060 * [taylor]: Taking taylor expansion of 4.0 in y 0.060 * [taylor]: Taking taylor expansion of (* z y) in y 0.060 * [taylor]: Taking taylor expansion of z in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in y 0.061 * [taylor]: Taking taylor expansion of 4.0 in y 0.061 * [taylor]: Taking taylor expansion of (* z y) in y 0.061 * [taylor]: Taking taylor expansion of z in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 4.0 z) in z 0.061 * [taylor]: Taking taylor expansion of 4.0 in z 0.061 * [taylor]: Taking taylor expansion of z in z 0.062 * [taylor]: Taking taylor expansion of 0 in z 0.063 * [taylor]: Taking taylor expansion of 0 in z 0.065 * [taylor]: Taking taylor expansion of 0 in z 0.066 * [approximate]: Taking taylor expansion of (/ 4.0 (* z y)) in (y z) around 0 0.066 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in z 0.066 * [taylor]: Taking taylor expansion of 4.0 in z 0.066 * [taylor]: Taking taylor expansion of (* z y) in z 0.066 * [taylor]: Taking taylor expansion of z in z 0.066 * [taylor]: Taking taylor expansion of y in z 0.066 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in y 0.066 * [taylor]: Taking taylor expansion of 4.0 in y 0.066 * [taylor]: Taking taylor expansion of (* z y) in y 0.066 * [taylor]: Taking taylor expansion of z in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 4.0 (* z y)) in y 0.066 * [taylor]: Taking taylor expansion of 4.0 in y 0.066 * [taylor]: Taking taylor expansion of (* z y) in y 0.066 * [taylor]: Taking taylor expansion of z in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 4.0 z) in z 0.067 * [taylor]: Taking taylor expansion of 4.0 in z 0.067 * [taylor]: Taking taylor expansion of z in z 0.068 * [taylor]: Taking taylor expansion of 0 in z 0.069 * [taylor]: Taking taylor expansion of 0 in z 0.070 * [taylor]: Taking taylor expansion of 0 in z 0.071 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in (x y z) around 0 0.071 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in z 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.071 * [taylor]: Taking taylor expansion of x in z 0.071 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.071 * [taylor]: Taking taylor expansion of 4.0 in z 0.071 * [taylor]: Taking taylor expansion of (* z y) in z 0.071 * [taylor]: Taking taylor expansion of z in z 0.071 * [taylor]: Taking taylor expansion of y in z 0.071 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.071 * [taylor]: Taking taylor expansion of 4.0 in y 0.071 * [taylor]: Taking taylor expansion of (* z y) in y 0.071 * [taylor]: Taking taylor expansion of z in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.071 * [taylor]: Taking taylor expansion of 4.0 in x 0.071 * [taylor]: Taking taylor expansion of (* z y) in x 0.071 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.071 * [taylor]: Taking taylor expansion of 4.0 in x 0.071 * [taylor]: Taking taylor expansion of (* z y) in x 0.071 * [taylor]: Taking taylor expansion of z in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.072 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.072 * [taylor]: Taking taylor expansion of 4.0 in y 0.072 * [taylor]: Taking taylor expansion of (* z y) in y 0.072 * [taylor]: Taking taylor expansion of z in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0 in z 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in z 0.074 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.074 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.074 * [taylor]: Taking taylor expansion of 4.0 in z 0.074 * [taylor]: Taking taylor expansion of z in z 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of 1 in z 0.076 * [taylor]: Taking taylor expansion of 0 in z 0.077 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.081 * [taylor]: Taking taylor expansion of 0 in z 0.082 * [taylor]: Taking taylor expansion of 0 in z 0.083 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.083 * [taylor]: Taking taylor expansion of x in z 0.083 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.083 * [taylor]: Taking taylor expansion of 4.0 in z 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.083 * [taylor]: Taking taylor expansion of (* z y) in z 0.083 * [taylor]: Taking taylor expansion of z in z 0.083 * [taylor]: Taking taylor expansion of y in z 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.084 * [taylor]: Taking taylor expansion of x 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 * [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 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.085 * [taylor]: Taking taylor expansion of 4.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.085 * [taylor]: Taking taylor expansion of (* z y) in x 0.085 * [taylor]: Taking taylor expansion of z in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.085 * [taylor]: Taking taylor expansion of 4.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.085 * [taylor]: Taking taylor expansion of (* z y) in x 0.085 * [taylor]: Taking taylor expansion of z in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 1 in z 0.088 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.088 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.088 * [taylor]: Taking taylor expansion of 4.0 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.088 * [taylor]: Taking taylor expansion of (* z y) in y 0.088 * [taylor]: Taking taylor expansion of z in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.089 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.089 * [taylor]: Taking taylor expansion of 4.0 in z 0.089 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.089 * [taylor]: Taking taylor expansion of z in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.090 * [taylor]: Taking taylor expansion of 0 in z 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.098 * [taylor]: Taking taylor expansion of x in z 0.099 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.099 * [taylor]: Taking taylor expansion of 4.0 in z 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.099 * [taylor]: Taking taylor expansion of (* z y) in z 0.099 * [taylor]: Taking taylor expansion of z in z 0.099 * [taylor]: Taking taylor expansion of y in z 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.099 * [taylor]: Taking taylor expansion of 4.0 in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.099 * [taylor]: Taking taylor expansion of (* z y) in y 0.099 * [taylor]: Taking taylor expansion of z in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.100 * [taylor]: Taking taylor expansion of 4.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.100 * [taylor]: Taking taylor expansion of (* z y) in x 0.100 * [taylor]: Taking taylor expansion of z in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.101 * [taylor]: Taking taylor expansion of 4.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.101 * [taylor]: Taking taylor expansion of (* z y) in x 0.101 * [taylor]: Taking taylor expansion of z in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 1 in z 0.103 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.104 * [taylor]: Taking taylor expansion of 4.0 in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.104 * [taylor]: Taking taylor expansion of (* z y) in y 0.104 * [taylor]: Taking taylor expansion of z in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.104 * [taylor]: Taking taylor expansion of 4.0 in z 0.104 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.104 * [taylor]: Taking taylor expansion of z in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in z 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.116 * [taylor]: Taking taylor expansion of 0 in z 0.117 * * * [progress]: simplifying candidates 0.117 * [simplify]: Simplifying using # : (expm1 (* (* y 4.0) z)) (log1p (* (* y 4.0) z)) (* (* y 4.0) z) (* (* y 4.0) z) (+ (+ (log y) (log 4.0)) (log z)) (+ (log (* y 4.0)) (log z)) (log (* (* y 4.0) z)) (exp (* (* y 4.0) z)) (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* z z) z)) (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* z z) z)) (* (cbrt (* (* y 4.0) z)) (cbrt (* (* y 4.0) z))) (cbrt (* (* y 4.0) z)) (* (* (* (* y 4.0) z) (* (* y 4.0) z)) (* (* y 4.0) z)) (sqrt (* (* y 4.0) z)) (sqrt (* (* y 4.0) z)) (* (* y 4.0) (* (cbrt z) (cbrt z))) (* (* y 4.0) (sqrt z)) (* (* y 4.0) 1) (* 4.0 z) (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)) (* 4.0 (* z y)) (* 4.0 (* z y)) (* 4.0 (* z y)) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) (- (pow x 2) (* 4.0 (* z y))) 0.121 * * [simplify]: iteration 0 : 189 enodes (cost 196 ) 0.126 * * [simplify]: iteration 1 : 921 enodes (cost 174 ) 0.152 * * [simplify]: iteration 2 : 5002 enodes (cost 171 ) 0.154 * [simplify]: Simplified to: (expm1 (* (* y 4.0) z)) (log1p (* (* y 4.0) z)) (* (* y 4.0) z) (* (* y 4.0) z) (log (* (* y 4.0) z)) (log (* (* y 4.0) z)) (log (* (* y 4.0) z)) (exp (* (* y 4.0) z)) (pow (* (* y 4.0) z) 3) (pow (* (* y 4.0) z) 3) (* (cbrt (* (* y 4.0) z)) (cbrt (* (* y 4.0) z))) (cbrt (* (* y 4.0) z)) (pow (* (* y 4.0) z) 3) (sqrt (* (* y 4.0) z)) (sqrt (* (* y 4.0) z)) (* (* y 4.0) (* (cbrt z) (cbrt z))) (* (* y 4.0) (sqrt z)) (* y 4.0) (* 4.0 z) (- (* x x) (* (* y 4.0) z)) (* (* y 4.0) (+ (- z) z)) (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 (* z y) (* 4.0 (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)) (* (* y 4.0) z) (* (* 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)) 0.154 * * * [progress]: adding candidates to table 0.232 * * [progress]: iteration 2 / 4 0.232 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.242 * * * [progress]: generating rewritten candidates 0.242 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.246 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in (x y z) around 0 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in z 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.246 * [taylor]: Taking taylor expansion of x in z 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in z 0.246 * [taylor]: Taking taylor expansion of 4.0 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 (- (pow x 2) (* 4.0 (* z y))) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.246 * [taylor]: Taking taylor expansion of 4.0 in y 0.246 * [taylor]: Taking taylor expansion of (* z y) in y 0.246 * [taylor]: Taking taylor expansion of z in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.246 * [taylor]: Taking taylor expansion of 4.0 in x 0.246 * [taylor]: Taking taylor expansion of (* z y) in x 0.246 * [taylor]: Taking taylor expansion of z in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (* z y))) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in x 0.246 * [taylor]: Taking taylor expansion of 4.0 in x 0.246 * [taylor]: Taking taylor expansion of (* z y) in x 0.246 * [taylor]: Taking taylor expansion of z in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (- (* 4.0 (* z y))) in y 0.246 * [taylor]: Taking taylor expansion of (* 4.0 (* z y)) in y 0.246 * [taylor]: Taking taylor expansion of 4.0 in y 0.246 * [taylor]: Taking taylor expansion of (* z y) in y 0.246 * [taylor]: Taking taylor expansion of z in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of (- (* 4.0 z)) in z 0.249 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.249 * [taylor]: Taking taylor expansion of 4.0 in z 0.249 * [taylor]: Taking taylor expansion of z in z 0.251 * [taylor]: Taking taylor expansion of 1 in y 0.251 * [taylor]: Taking taylor expansion of 1 in z 0.251 * [taylor]: Taking taylor expansion of 0 in z 0.252 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.256 * [taylor]: Taking taylor expansion of 0 in z 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.258 * [taylor]: Taking taylor expansion of x in z 0.258 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.258 * [taylor]: Taking taylor expansion of 4.0 in z 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.258 * [taylor]: Taking taylor expansion of (* z y) in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.258 * [taylor]: Taking taylor expansion of y in z 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.259 * [taylor]: Taking taylor expansion of 4.0 in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.259 * [taylor]: Taking taylor expansion of (* z y) in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.260 * [taylor]: Taking taylor expansion of 4.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.260 * [taylor]: Taking taylor expansion of (* z y) in x 0.260 * [taylor]: Taking taylor expansion of z in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.260 * [taylor]: Taking taylor expansion of 4.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.261 * [taylor]: Taking taylor expansion of (* z y) in x 0.261 * [taylor]: Taking taylor expansion of z in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 1 in z 0.263 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.263 * [taylor]: Taking taylor expansion of 4.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.263 * [taylor]: Taking taylor expansion of (* z y) in y 0.263 * [taylor]: Taking taylor expansion of z in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.264 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.264 * [taylor]: Taking taylor expansion of 4.0 in z 0.264 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.264 * [taylor]: Taking taylor expansion of z in z 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.276 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in (x y z) around 0 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in z 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.276 * [taylor]: Taking taylor expansion of x in z 0.276 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in z 0.277 * [taylor]: Taking taylor expansion of 4.0 in z 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in z 0.277 * [taylor]: Taking taylor expansion of (* z y) in z 0.277 * [taylor]: Taking taylor expansion of z in z 0.277 * [taylor]: Taking taylor expansion of y in z 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.277 * [taylor]: Taking taylor expansion of 4.0 in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.277 * [taylor]: Taking taylor expansion of (* z y) in y 0.277 * [taylor]: Taking taylor expansion of z in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.278 * [taylor]: Taking taylor expansion of 4.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.278 * [taylor]: Taking taylor expansion of (* z y) in x 0.278 * [taylor]: Taking taylor expansion of z in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (* z y)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in x 0.279 * [taylor]: Taking taylor expansion of 4.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in x 0.279 * [taylor]: Taking taylor expansion of (* z y) in x 0.279 * [taylor]: Taking taylor expansion of z in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 1 in z 0.282 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (* z y)))) in y 0.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* z y))) in y 0.282 * [taylor]: Taking taylor expansion of 4.0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.282 * [taylor]: Taking taylor expansion of (* z y) in y 0.282 * [taylor]: Taking taylor expansion of z in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 z))) in z 0.282 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.282 * [taylor]: Taking taylor expansion of 4.0 in z 0.282 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.282 * [taylor]: Taking taylor expansion of z in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.283 * [taylor]: Taking taylor expansion of 0 in z 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.287 * [taylor]: Taking taylor expansion of 0 in z 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * [taylor]: Taking taylor expansion of 0 in z 0.292 * * * [progress]: simplifying candidates 0.293 * [simplify]: Simplifying using # : (fma x x (- (* (* 4.0 z) y))) (fma (- (* 4.0 z)) y (* (* 4.0 z) y)) (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))) 0.296 * * [simplify]: iteration 0 : 116 enodes (cost 123 ) 0.300 * * [simplify]: iteration 1 : 516 enodes (cost 111 ) 0.314 * * [simplify]: iteration 2 : 2592 enodes (cost 108 ) 0.372 * * [simplify]: iteration 3 : 5001 enodes (cost 104 ) 0.373 * [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 y)) (* (* 4.0 z) (* 4.0 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))) 0.373 * * * [progress]: adding candidates to table 0.414 * * [progress]: iteration 3 / 4 0.414 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.423 * * * [progress]: generating rewritten candidates 0.423 * * * [progress]: generating series expansions 0.423 * * * [progress]: simplifying candidates 0.423 * [simplify]: Simplifying using # : 0.426 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.426 * [simplify]: Simplified to: 0.426 * * * [progress]: adding candidates to table 0.426 * [progress]: [Phase 3 of 3] Extracting. 0.428 * [simplify]: Simplifying using # : (fma x x (- (* y (* 4.0 z)))) 0.429 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.429 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.429 * * [simplify]: iteration 2 : 22 enodes (cost 4 ) 0.429 * [simplify]: Simplified to: (fma x x (- (* y (* 4.0 z)))) 1.064 * [regime-testing]: End program error score: 0.04400550068758595