8.159 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (/ (* 4.0 (- (- x y) (* z 0.5))) z) 0.034 * * [simplify]: iteration 0 : 20 enodes (cost 5 ) 0.036 * * [simplify]: iteration 1 : 47 enodes (cost 5 ) 0.038 * * [simplify]: iteration 2 : 146 enodes (cost 5 ) 0.042 * * [simplify]: iteration 3 : 356 enodes (cost 5 ) 0.049 * * [simplify]: iteration 4 : 750 enodes (cost 5 ) 0.059 * * [simplify]: iteration 5 : 1604 enodes (cost 5 ) 0.075 * * [simplify]: iteration 6 : 2577 enodes (cost 5 ) 0.102 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.102 * [simplify]: Simplified to: (* (/ 4.0 z) (- x (fma 0.5 z y))) 0.105 * * [progress]: iteration 1 / 4 0.105 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.137 * * * [progress]: generating series expansions 0.137 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.138 * [approximate]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in (z x y) around 0 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in y 0.138 * [taylor]: Taking taylor expansion of 4.0 in y 0.138 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in y 0.138 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in y 0.138 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.138 * [taylor]: Taking taylor expansion of (* 0.5 z) in y 0.138 * [taylor]: Taking taylor expansion of 0.5 in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of z in y 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in x 0.138 * [taylor]: Taking taylor expansion of 4.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.138 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.138 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.138 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.138 * [taylor]: Taking taylor expansion of 0.5 in x 0.138 * [taylor]: Taking taylor expansion of z in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of z in x 0.139 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in z 0.139 * [taylor]: Taking taylor expansion of 4.0 in z 0.139 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.139 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.139 * [taylor]: Taking taylor expansion of x in z 0.139 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.139 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.139 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.139 * [taylor]: Taking taylor expansion of 0.5 in z 0.139 * [taylor]: Taking taylor expansion of z in z 0.139 * [taylor]: Taking taylor expansion of y in z 0.139 * [taylor]: Taking taylor expansion of z in z 0.140 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in z 0.140 * [taylor]: Taking taylor expansion of 4.0 in z 0.140 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.140 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.140 * [taylor]: Taking taylor expansion of x in z 0.140 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.140 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.140 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.140 * [taylor]: Taking taylor expansion of 0.5 in z 0.140 * [taylor]: Taking taylor expansion of z in z 0.140 * [taylor]: Taking taylor expansion of y in z 0.140 * [taylor]: Taking taylor expansion of z in z 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (- x y)) in x 0.141 * [taylor]: Taking taylor expansion of 4.0 in x 0.141 * [taylor]: Taking taylor expansion of (- x y) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (* -4.0 y) in y 0.141 * [taylor]: Taking taylor expansion of -4.0 in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.145 * [taylor]: Taking taylor expansion of 2.0 in x 0.145 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.145 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [taylor]: Taking taylor expansion of 4.0 in y 0.149 * [approximate]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in (z x y) around 0 0.149 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in y 0.149 * [taylor]: Taking taylor expansion of 4.0 in y 0.149 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in y 0.149 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in y 0.149 * [taylor]: Taking taylor expansion of 0.5 in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.149 * [taylor]: Taking taylor expansion of z in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in x 0.149 * [taylor]: Taking taylor expansion of 4.0 in x 0.149 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.150 * [taylor]: Taking taylor expansion of z in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.150 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.150 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.150 * [taylor]: Taking taylor expansion of 0.5 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.150 * [taylor]: Taking taylor expansion of z in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in z 0.150 * [taylor]: Taking taylor expansion of 4.0 in z 0.150 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.150 * [taylor]: Taking taylor expansion of z in z 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.150 * [taylor]: Taking taylor expansion of x in z 0.150 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.150 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.150 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.150 * [taylor]: Taking taylor expansion of 0.5 in z 0.150 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.150 * [taylor]: Taking taylor expansion of z in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.151 * [taylor]: Taking taylor expansion of y in z 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in z 0.151 * [taylor]: Taking taylor expansion of 4.0 in z 0.151 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.151 * [taylor]: Taking taylor expansion of x in z 0.151 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.151 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.151 * [taylor]: Taking taylor expansion of 0.5 in z 0.151 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.151 * [taylor]: Taking taylor expansion of z in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.152 * [taylor]: Taking taylor expansion of y in z 0.154 * [taylor]: Taking taylor expansion of 0 in x 0.157 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.157 * [taylor]: Taking taylor expansion of 2.0 in x 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 x)) (* 4.0 (/ 1 y))) in x 0.160 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 4.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in x 0.160 * [taylor]: Taking taylor expansion of 4.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of 4.0 in y 0.161 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.161 * [taylor]: Taking taylor expansion of 2.0 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in x 0.166 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.166 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.166 * [taylor]: Taking taylor expansion of 4.0 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [approximate]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in (z x y) around 0 0.169 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in y 0.169 * [taylor]: Taking taylor expansion of 4.0 in y 0.169 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in y 0.170 * [taylor]: Taking taylor expansion of z in y 0.170 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in y 0.170 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in y 0.170 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in y 0.170 * [taylor]: Taking taylor expansion of 0.5 in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of z in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in x 0.170 * [taylor]: Taking taylor expansion of 4.0 in x 0.170 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of z in x 0.170 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.171 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.171 * [taylor]: Taking taylor expansion of 0.5 in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of z in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in z 0.175 * [taylor]: Taking taylor expansion of 4.0 in z 0.175 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.175 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.175 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.175 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.175 * [taylor]: Taking taylor expansion of 0.5 in z 0.175 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.175 * [taylor]: Taking taylor expansion of -1 in z 0.175 * [taylor]: Taking taylor expansion of z in z 0.175 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.175 * [taylor]: Taking taylor expansion of -1 in z 0.175 * [taylor]: Taking taylor expansion of y in z 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.176 * [taylor]: Taking taylor expansion of x in z 0.176 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in z 0.176 * [taylor]: Taking taylor expansion of 4.0 in z 0.176 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.176 * [taylor]: Taking taylor expansion of z in z 0.176 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.176 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.176 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.176 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.176 * [taylor]: Taking taylor expansion of 0.5 in z 0.176 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.176 * [taylor]: Taking taylor expansion of -1 in z 0.176 * [taylor]: Taking taylor expansion of z in z 0.176 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.176 * [taylor]: Taking taylor expansion of -1 in z 0.176 * [taylor]: Taking taylor expansion of y in z 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.176 * [taylor]: Taking taylor expansion of x in z 0.178 * [taylor]: Taking taylor expansion of 0 in x 0.181 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.181 * [taylor]: Taking taylor expansion of 2.0 in x 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 x)) (* 4.0 (/ 1 y))) in x 0.185 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of 4.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in x 0.185 * [taylor]: Taking taylor expansion of 4.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of 4.0 in y 0.186 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.186 * [taylor]: Taking taylor expansion of 2.0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in x 0.191 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.191 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 4.0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.194 * * * [progress]: simplifying candidates 0.195 * [simplify]: Simplifying using # : (expm1 (* (/ 4.0 z) (- x (fma 0.5 z y)))) (log1p (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* (/ 4.0 z) (- x (fma 0.5 z y))) (+ (- (log 4.0) (log z)) (log (- x (fma 0.5 z y)))) (+ (log (/ 4.0 z)) (log (- x (fma 0.5 z y)))) (log (* (/ 4.0 z) (- x (fma 0.5 z y)))) (exp (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* (/ (* (* 4.0 4.0) 4.0) (* (* z z) z)) (* (* (- x (fma 0.5 z y)) (- x (fma 0.5 z y))) (- x (fma 0.5 z y)))) (* (* (* (/ 4.0 z) (/ 4.0 z)) (/ 4.0 z)) (* (* (- x (fma 0.5 z y)) (- x (fma 0.5 z y))) (- x (fma 0.5 z y)))) (* (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y))))) (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* (* (* (/ 4.0 z) (- x (fma 0.5 z y))) (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* (/ 4.0 z) (- x (fma 0.5 z y)))) (sqrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (sqrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* 4.0 (- (pow x 3) (pow (fma 0.5 z y) 3))) (* z (+ (* x x) (+ (* (fma 0.5 z y) (fma 0.5 z y)) (* x (fma 0.5 z y))))) (* 4.0 (- (* x x) (* (fma 0.5 z y) (fma 0.5 z y)))) (* z (+ x (fma 0.5 z y))) (* (sqrt (/ 4.0 z)) (sqrt (- x (fma 0.5 z y)))) (* (sqrt (/ 4.0 z)) (sqrt (- x (fma 0.5 z y)))) (* (/ (sqrt 4.0) (sqrt z)) (sqrt (- x (fma 0.5 z y)))) (* (/ (sqrt 4.0) (sqrt z)) (sqrt (- x (fma 0.5 z y)))) (* (/ 4.0 z) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))))) (* (/ 4.0 z) (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (* (/ 4.0 z) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (fma 0.5 z y) 1)))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1))) (* (/ 4.0 z) (fma (sqrt x) (sqrt x) (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))))) (* (/ 4.0 z) (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma (sqrt x) (sqrt x) (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (* (/ 4.0 z) (fma (sqrt x) (sqrt x) (- (* (fma 0.5 z y) 1)))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1))) (* (/ 4.0 z) (fma 1 x (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))))) (* (/ 4.0 z) (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma 1 x (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))))) (* (/ 4.0 z) (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (* (/ 4.0 z) (fma 1 x (- (* (fma 0.5 z y) 1)))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1))) (* (/ 4.0 z) x) (* (/ 4.0 z) (- (fma 0.5 z y))) (* (/ 4.0 z) x) (* (/ 4.0 z) (- (fma 0.5 z y))) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (/ 4.0 z)) (* (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))) (/ 4.0 z)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (fma 0.5 z y) 1))) (/ 4.0 z)) (* (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1)) (/ 4.0 z)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (/ 4.0 z)) (* (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))) (/ 4.0 z)) (* (fma (sqrt x) (sqrt x) (- (* (fma 0.5 z y) 1))) (/ 4.0 z)) (* (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1)) (/ 4.0 z)) (* (fma 1 x (- (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y)))))) (/ 4.0 z)) (* (fma (- (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))) (* (cbrt (fma 0.5 z y)) (* (cbrt (fma 0.5 z y)) (cbrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma 1 x (- (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y))))) (/ 4.0 z)) (* (fma (- (sqrt (fma 0.5 z y))) (sqrt (fma 0.5 z y)) (* (sqrt (fma 0.5 z y)) (sqrt (fma 0.5 z y)))) (/ 4.0 z)) (* (fma 1 x (- (* (fma 0.5 z y) 1))) (/ 4.0 z)) (* (fma (- (fma 0.5 z y)) 1 (* (fma 0.5 z y) 1)) (/ 4.0 z)) (* x (/ 4.0 z)) (* (- (fma 0.5 z y)) (/ 4.0 z)) (* x (/ 4.0 z)) (* (- (fma 0.5 z y)) (/ 4.0 z)) (* (/ 4.0 z) (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y))))) (* (/ 4.0 z) (sqrt (- x (fma 0.5 z y)))) (* (/ 4.0 z) 1) (* (/ 4.0 z) (+ (sqrt x) (sqrt (fma 0.5 z y)))) (* (/ 4.0 z) 1) (* (cbrt (/ 4.0 z)) (- x (fma 0.5 z y))) (* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) (cbrt z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) (sqrt z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) z) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) (cbrt z)) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) (sqrt z)) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) z) (- x (fma 0.5 z y))) (* (/ 4.0 (cbrt z)) (- x (fma 0.5 z y))) (* (/ 4.0 (sqrt z)) (- x (fma 0.5 z y))) (* (/ 4.0 z) (- x (fma 0.5 z y))) (* (/ 4.0 z) (- x (fma 0.5 z y))) (* (/ 1 z) (- x (fma 0.5 z y))) (* (/ 4.0 z) (- (pow x 3) (pow (fma 0.5 z y) 3))) (* (/ 4.0 z) (- (* x x) (* (fma 0.5 z y) (fma 0.5 z y)))) (* 4.0 (- x (fma 0.5 z y))) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) 0.202 * * [simplify]: iteration 0 : 393 enodes (cost 670 ) 0.210 * * [simplify]: iteration 1 : 1513 enodes (cost 480 ) 0.240 * * [simplify]: iteration 2 : 5001 enodes (cost 468 ) 0.243 * [simplify]: Simplified to: (expm1 (* (/ 4.0 z) (- x (fma 0.5 z y)))) (log1p (* (/ 4.0 z) (- x (fma 0.5 z y)))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (log (* (/ 4.0 z) (- x (fma 0.5 z y)))) (log (* (/ 4.0 z) (- x (fma 0.5 z y)))) (log (* (/ 4.0 z) (- x (fma 0.5 z y)))) (exp (* (/ 4.0 z) (- x (fma 0.5 z y)))) (pow (* (/ 4.0 z) (- x (fma 0.5 z y))) 3) (pow (* (/ 4.0 z) (- x (fma 0.5 z y))) 3) (* (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y))))) (cbrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (pow (* (/ 4.0 z) (- x (fma 0.5 z y))) 3) (sqrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (sqrt (* (/ 4.0 z) (- x (fma 0.5 z y)))) (* 4.0 (- (pow x 3) (pow (fma 0.5 z y) 3))) (* (fma x x (fma (fma 0.5 z y) (fma 0.5 z y) (* x (fma 0.5 z y)))) z) (* 4.0 (- (* x x) (* (fma 0.5 z y) (fma 0.5 z y)))) (* z (+ x (fma 0.5 z y))) (* (sqrt (/ 4.0 z)) (sqrt (- x (fma 0.5 z y)))) (* (sqrt (/ 4.0 z)) (sqrt (- x (fma 0.5 z y)))) (* (/ (sqrt 4.0) (sqrt z)) (sqrt (- x (fma 0.5 z y)))) (* (/ (sqrt 4.0) (sqrt z)) (sqrt (- x (fma 0.5 z y)))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))) (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (- (/ (pow (cbrt x) 3) (/ z 4.0)) (/ (fma 0.5 z y) (/ z 4.0))) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (* (/ 4.0 z) (fma (- (fma 0.5 z y)) 1 (fma 0.5 z y))) (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))) (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))) (* (/ 4.0 z) (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y))))) (* (/ 4.0 z) (sqrt (- x (fma 0.5 z y)))) (/ 4.0 z) (* (/ 4.0 z) (+ (sqrt x) (sqrt (fma 0.5 z y)))) (/ 4.0 z) (* (cbrt (/ 4.0 z)) (- x (fma 0.5 z y))) (* (sqrt (/ 4.0 z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) (cbrt z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) (sqrt z)) (- x (fma 0.5 z y))) (* (/ (cbrt 4.0) z) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) (cbrt z)) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) (sqrt z)) (- x (fma 0.5 z y))) (* (/ (sqrt 4.0) z) (- x (fma 0.5 z y))) (* (/ 4.0 (cbrt z)) (- x (fma 0.5 z y))) (* (/ 4.0 (sqrt z)) (- x (fma 0.5 z y))) (/ (* (- x (fma 0.5 z y)) 4.0) z) (/ (* (- x (fma 0.5 z y)) 4.0) z) (/ (- x (fma 0.5 z y)) z) (* (/ 4.0 z) (- (pow x 3) (pow (fma 0.5 z y) 3))) (* (/ 4.0 z) (- (* x x) (* (fma 0.5 z y) (fma 0.5 z y)))) (* 4.0 (- x (fma 0.5 z y))) (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) 0.243 * * * [progress]: adding candidates to table 0.583 * * [progress]: iteration 2 / 4 0.583 * * * [progress]: picking best candidate 0.587 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.594 * * * [progress]: generating rewritten candidates 0.595 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.605 * * * [progress]: generating series expansions 0.605 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.605 * [approximate]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in (x z y) around 0 0.605 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in y 0.605 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in y 0.606 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.606 * [taylor]: Taking taylor expansion of (* 0.5 z) in y 0.606 * [taylor]: Taking taylor expansion of 0.5 in y 0.606 * [taylor]: Taking taylor expansion of z in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of z in y 0.606 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.606 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.606 * [taylor]: Taking taylor expansion of x in z 0.606 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.606 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.606 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.606 * [taylor]: Taking taylor expansion of 0.5 in z 0.606 * [taylor]: Taking taylor expansion of z in z 0.606 * [taylor]: Taking taylor expansion of y in z 0.606 * [taylor]: Taking taylor expansion of z in z 0.607 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.607 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.607 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.607 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.607 * [taylor]: Taking taylor expansion of 0.5 in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.607 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.607 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.607 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.607 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.607 * [taylor]: Taking taylor expansion of 0.5 in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.607 * [taylor]: Taking taylor expansion of z in x 0.608 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 z) y) z)) in z 0.608 * [taylor]: Taking taylor expansion of -1 in z 0.608 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 z) y) z) in z 0.608 * [taylor]: Taking taylor expansion of (+ (* 0.5 z) y) in z 0.608 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.608 * [taylor]: Taking taylor expansion of 0.5 in z 0.608 * [taylor]: Taking taylor expansion of z in z 0.608 * [taylor]: Taking taylor expansion of y in z 0.608 * [taylor]: Taking taylor expansion of z in z 0.608 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.608 * [taylor]: Taking taylor expansion of -1 in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.610 * [taylor]: Taking taylor expansion of z in z 0.610 * [taylor]: Taking taylor expansion of 1 in y 0.612 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.612 * [taylor]: Taking taylor expansion of 0.5 in y 0.614 * [approximate]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in (x z y) around 0 0.614 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in y 0.614 * [taylor]: Taking taylor expansion of z in y 0.614 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in y 0.614 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in y 0.614 * [taylor]: Taking taylor expansion of 0.5 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.614 * [taylor]: Taking taylor expansion of z in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.615 * [taylor]: Taking taylor expansion of z in z 0.615 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.615 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.615 * [taylor]: Taking taylor expansion of x in z 0.615 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.615 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.615 * [taylor]: Taking taylor expansion of 0.5 in z 0.615 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.615 * [taylor]: Taking taylor expansion of z in z 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.616 * [taylor]: Taking taylor expansion of y in z 0.616 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.616 * [taylor]: Taking taylor expansion of z in x 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.616 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.616 * [taylor]: Taking taylor expansion of 0.5 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.616 * [taylor]: Taking taylor expansion of z in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.616 * [taylor]: Taking taylor expansion of z in x 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.617 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.617 * [taylor]: Taking taylor expansion of 0.5 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.617 * [taylor]: Taking taylor expansion of z in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of z in z 0.619 * [taylor]: Taking taylor expansion of (- (+ (/ z y) 0.5)) in z 0.619 * [taylor]: Taking taylor expansion of (+ (/ z y) 0.5) in z 0.619 * [taylor]: Taking taylor expansion of (/ z y) in z 0.619 * [taylor]: Taking taylor expansion of z in z 0.619 * [taylor]: Taking taylor expansion of y in z 0.619 * [taylor]: Taking taylor expansion of 0.5 in z 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [taylor]: Taking taylor expansion of 0 in z 0.622 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.622 * [taylor]: Taking taylor expansion of 0.5 in y 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.624 * [taylor]: Taking taylor expansion of 0 in z 0.624 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [approximate]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in (x z y) around 0 0.626 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in y 0.626 * [taylor]: Taking taylor expansion of z in y 0.626 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in y 0.626 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in y 0.627 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in y 0.627 * [taylor]: Taking taylor expansion of 0.5 in y 0.627 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.627 * [taylor]: Taking taylor expansion of z in y 0.627 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.627 * [taylor]: Taking taylor expansion of z in z 0.627 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.627 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.627 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.628 * [taylor]: Taking taylor expansion of 0.5 in z 0.628 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.628 * [taylor]: Taking taylor expansion of -1 in z 0.628 * [taylor]: Taking taylor expansion of z in z 0.628 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.628 * [taylor]: Taking taylor expansion of -1 in z 0.628 * [taylor]: Taking taylor expansion of y in z 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.628 * [taylor]: Taking taylor expansion of x in z 0.628 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.628 * [taylor]: Taking taylor expansion of z in x 0.628 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.628 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.628 * [taylor]: Taking taylor expansion of 0.5 in x 0.628 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of z in x 0.628 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of z in x 0.629 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.629 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.629 * [taylor]: Taking taylor expansion of 0.5 in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of z in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of z in z 0.631 * [taylor]: Taking taylor expansion of (- (+ (/ z y) 0.5)) in z 0.631 * [taylor]: Taking taylor expansion of (+ (/ z y) 0.5) in z 0.631 * [taylor]: Taking taylor expansion of (/ z y) in z 0.631 * [taylor]: Taking taylor expansion of z in z 0.632 * [taylor]: Taking taylor expansion of y in z 0.632 * [taylor]: Taking taylor expansion of 0.5 in z 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in z 0.637 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.637 * [taylor]: Taking taylor expansion of 0.5 in y 0.637 * [taylor]: Taking taylor expansion of 1 in y 0.640 * [taylor]: Taking taylor expansion of 0 in z 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.640 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.642 * * * [progress]: simplifying candidates 0.642 * [simplify]: Simplifying using # : (expm1 (/ (- x (fma 0.5 z y)) z)) (log1p (/ (- x (fma 0.5 z y)) z)) (- (log (- x (fma 0.5 z y))) (log z)) (log (/ (- x (fma 0.5 z y)) z)) (exp (/ (- x (fma 0.5 z y)) z)) (/ (* (* (- x (fma 0.5 z y)) (- x (fma 0.5 z y))) (- x (fma 0.5 z y))) (* (* z z) z)) (* (cbrt (/ (- x (fma 0.5 z y)) z)) (cbrt (/ (- x (fma 0.5 z y)) z))) (cbrt (/ (- x (fma 0.5 z y)) z)) (* (* (/ (- x (fma 0.5 z y)) z) (/ (- x (fma 0.5 z y)) z)) (/ (- x (fma 0.5 z y)) z)) (sqrt (/ (- x (fma 0.5 z y)) z)) (sqrt (/ (- x (fma 0.5 z y)) z)) (- (- x (fma 0.5 z y))) (- z) (/ x z) (/ (fma 0.5 z y) z) (/ (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) (* (cbrt z) (cbrt z))) (/ (cbrt (- x (fma 0.5 z y))) (cbrt z)) (/ (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) (sqrt z)) (/ (cbrt (- x (fma 0.5 z y))) (sqrt z)) (/ (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) 1) (/ (cbrt (- x (fma 0.5 z y))) z) (/ (sqrt (- x (fma 0.5 z y))) (* (cbrt z) (cbrt z))) (/ (sqrt (- x (fma 0.5 z y))) (cbrt z)) (/ (sqrt (- x (fma 0.5 z y))) (sqrt z)) (/ (sqrt (- x (fma 0.5 z y))) (sqrt z)) (/ (sqrt (- x (fma 0.5 z y))) 1) (/ (sqrt (- x (fma 0.5 z y))) z) (/ 1 (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (cbrt z)) (/ 1 (sqrt z)) (/ (- x (fma 0.5 z y)) (sqrt z)) (/ 1 1) (/ (- x (fma 0.5 z y)) z) (/ (+ (sqrt x) (sqrt (fma 0.5 z y))) (* (cbrt z) (cbrt z))) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) (cbrt z)) (/ (+ (sqrt x) (sqrt (fma 0.5 z y))) (sqrt z)) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) (sqrt z)) (/ (+ (sqrt x) (sqrt (fma 0.5 z y))) 1) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) z) (/ 1 (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (cbrt z)) (/ 1 (sqrt z)) (/ (- x (fma 0.5 z y)) (sqrt z)) (/ 1 1) (/ (- x (fma 0.5 z y)) z) (/ 1 z) (/ z (- x (fma 0.5 z y))) (/ (- x (fma 0.5 z y)) (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (sqrt z)) (/ (- x (fma 0.5 z y)) 1) (/ z (cbrt (- x (fma 0.5 z y)))) (/ z (sqrt (- x (fma 0.5 z y)))) (/ z (- x (fma 0.5 z y))) (/ z (- (sqrt x) (sqrt (fma 0.5 z y)))) (/ z (- x (fma 0.5 z y))) (* z (+ (* x x) (+ (* (fma 0.5 z y) (fma 0.5 z y)) (* x (fma 0.5 z y))))) (* z (+ x (fma 0.5 z y))) (- (/ x z) (+ (/ y z) 0.5)) (- (/ x z) (+ (/ y z) 0.5)) (- (/ x z) (+ (/ y z) 0.5)) 0.647 * * [simplify]: iteration 0 : 170 enodes (cost 266 ) 0.652 * * [simplify]: iteration 1 : 469 enodes (cost 252 ) 0.662 * * [simplify]: iteration 2 : 1622 enodes (cost 252 ) 0.694 * * [simplify]: iteration 3 : 5001 enodes (cost 251 ) 0.697 * [simplify]: Simplified to: (expm1 (/ (- x (fma 0.5 z y)) z)) (log1p (/ (- x (fma 0.5 z y)) z)) (log (/ (- x (fma 0.5 z y)) z)) (log (/ (- x (fma 0.5 z y)) z)) (exp (/ (- x (fma 0.5 z y)) z)) (pow (/ (- x (fma 0.5 z y)) z) 3) (* (cbrt (/ (- x (fma 0.5 z y)) z)) (cbrt (/ (- x (fma 0.5 z y)) z))) (cbrt (/ (- x (fma 0.5 z y)) z)) (pow (/ (- x (fma 0.5 z y)) z) 3) (sqrt (/ (- x (fma 0.5 z y)) z)) (sqrt (/ (- x (fma 0.5 z y)) z)) (- (- x (fma 0.5 z y))) (- z) (/ x z) (/ (fma 0.5 z y) z) (/ (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) (* (cbrt z) (cbrt z))) (/ (cbrt (- x (fma 0.5 z y))) (cbrt z)) (/ (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) (sqrt z)) (/ (cbrt (- x (fma 0.5 z y))) (sqrt z)) (* (cbrt (- x (fma 0.5 z y))) (cbrt (- x (fma 0.5 z y)))) (/ (cbrt (- x (fma 0.5 z y))) z) (/ (sqrt (- x (fma 0.5 z y))) (* (cbrt z) (cbrt z))) (/ (sqrt (- x (fma 0.5 z y))) (cbrt z)) (/ (sqrt (- x (fma 0.5 z y))) (sqrt z)) (/ (sqrt (- x (fma 0.5 z y))) (sqrt z)) (sqrt (- x (fma 0.5 z y))) (/ (sqrt (- x (fma 0.5 z y))) z) (/ 1 (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (cbrt z)) (/ 1 (sqrt z)) (/ (- x (fma 0.5 z y)) (sqrt z)) 1 (/ (- x (fma 0.5 z y)) z) (/ (+ (sqrt x) (sqrt (fma 0.5 z y))) (* (cbrt z) (cbrt z))) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) (cbrt z)) (/ (+ (sqrt x) (sqrt (fma 0.5 z y))) (sqrt z)) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) (sqrt z)) (+ (sqrt x) (sqrt (fma 0.5 z y))) (/ (- (sqrt x) (sqrt (fma 0.5 z y))) z) (/ 1 (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (cbrt z)) (/ 1 (sqrt z)) (/ (- x (fma 0.5 z y)) (sqrt z)) 1 (/ (- x (fma 0.5 z y)) z) (/ 1 z) (/ z (- x (fma 0.5 z y))) (/ (- x (fma 0.5 z y)) (* (cbrt z) (cbrt z))) (/ (- x (fma 0.5 z y)) (sqrt z)) (- x (fma 0.5 z y)) (/ z (cbrt (- x (fma 0.5 z y)))) (/ z (sqrt (- x (fma 0.5 z y)))) (/ z (- x (fma 0.5 z y))) (/ z (- (sqrt x) (sqrt (fma 0.5 z y)))) (/ z (- x (fma 0.5 z y))) (* z (fma (fma 0.5 z y) (+ x (fma 0.5 z y)) (* x x))) (* z (+ x (fma 0.5 z y))) (- (/ x z) (+ (/ y z) 0.5)) (- (/ x z) (+ (/ y z) 0.5)) (- (/ x z) (+ (/ y z) 0.5)) 0.697 * * * [progress]: adding candidates to table 0.795 * * [progress]: iteration 3 / 4 0.795 * * * [progress]: picking best candidate 0.797 * * * * [pick]: Picked # 0.797 * * * [progress]: localizing error 0.809 * * * [progress]: generating rewritten candidates 0.809 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.810 * * * [progress]: generating series expansions 0.810 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.810 * [approximate]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in (x z y) around 0 0.810 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in y 0.810 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.810 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in y 0.810 * [taylor]: Taking taylor expansion of 4.0 in y 0.810 * [taylor]: Taking taylor expansion of (/ x z) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of z in y 0.810 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in y 0.810 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in y 0.810 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.810 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in y 0.810 * [taylor]: Taking taylor expansion of 4.0 in y 0.810 * [taylor]: Taking taylor expansion of (/ y z) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of z in y 0.810 * [taylor]: Taking taylor expansion of 2.0 in y 0.810 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in z 0.810 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.810 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in z 0.810 * [taylor]: Taking taylor expansion of 4.0 in z 0.810 * [taylor]: Taking taylor expansion of (/ x z) in z 0.810 * [taylor]: Taking taylor expansion of x in z 0.811 * [taylor]: Taking taylor expansion of z in z 0.811 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in z 0.811 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in z 0.811 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in z 0.811 * [taylor]: Taking taylor expansion of 4.0 in z 0.811 * [taylor]: Taking taylor expansion of (/ y z) in z 0.811 * [taylor]: Taking taylor expansion of y in z 0.811 * [taylor]: Taking taylor expansion of z in z 0.811 * [taylor]: Taking taylor expansion of 2.0 in z 0.811 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in x 0.811 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in x 0.811 * [taylor]: Taking taylor expansion of 4.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ x z) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of z in x 0.811 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in x 0.811 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in x 0.811 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in x 0.811 * [taylor]: Taking taylor expansion of 4.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ y z) in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of z in x 0.811 * [taylor]: Taking taylor expansion of 2.0 in x 0.811 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in x 0.811 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.811 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in x 0.811 * [taylor]: Taking taylor expansion of 4.0 in x 0.811 * [taylor]: Taking taylor expansion of (/ x z) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of z in x 0.811 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in x 0.812 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in x 0.812 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in x 0.812 * [taylor]: Taking taylor expansion of 4.0 in x 0.812 * [taylor]: Taking taylor expansion of (/ y z) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of z in x 0.812 * [taylor]: Taking taylor expansion of 2.0 in x 0.812 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ y z)) 2.0)) in z 0.812 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ y z)) 2.0) in z 0.812 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in z 0.812 * [taylor]: Taking taylor expansion of 4.0 in z 0.812 * [taylor]: Taking taylor expansion of (/ y z) in z 0.812 * [taylor]: Taking taylor expansion of y in z 0.812 * [taylor]: Taking taylor expansion of z in z 0.812 * [taylor]: Taking taylor expansion of 2.0 in z 0.812 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.812 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.812 * [taylor]: Taking taylor expansion of 4.0 in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.814 * [taylor]: Taking taylor expansion of 4.0 in z 0.814 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.814 * [taylor]: Taking taylor expansion of z in z 0.815 * [taylor]: Taking taylor expansion of 4.0 in y 0.816 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.816 * [taylor]: Taking taylor expansion of 2.0 in y 0.819 * [approximate]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in (x z y) around 0 0.819 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in y 0.819 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.819 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in y 0.819 * [taylor]: Taking taylor expansion of 4.0 in y 0.819 * [taylor]: Taking taylor expansion of (/ z x) in y 0.819 * [taylor]: Taking taylor expansion of z in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in y 0.819 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in y 0.819 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.819 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in y 0.819 * [taylor]: Taking taylor expansion of 4.0 in y 0.819 * [taylor]: Taking taylor expansion of (/ z y) in y 0.819 * [taylor]: Taking taylor expansion of z in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 2.0 in y 0.819 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in z 0.820 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.820 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in z 0.820 * [taylor]: Taking taylor expansion of 4.0 in z 0.820 * [taylor]: Taking taylor expansion of (/ z x) in z 0.820 * [taylor]: Taking taylor expansion of z in z 0.820 * [taylor]: Taking taylor expansion of x in z 0.820 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in z 0.820 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in z 0.820 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.820 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.820 * [taylor]: Taking taylor expansion of 4.0 in z 0.820 * [taylor]: Taking taylor expansion of (/ z y) in z 0.820 * [taylor]: Taking taylor expansion of z in z 0.820 * [taylor]: Taking taylor expansion of y in z 0.820 * [taylor]: Taking taylor expansion of 2.0 in z 0.820 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.820 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.820 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.820 * [taylor]: Taking taylor expansion of 4.0 in x 0.820 * [taylor]: Taking taylor expansion of (/ z x) in x 0.820 * [taylor]: Taking taylor expansion of z in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.820 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.820 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.820 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.820 * [taylor]: Taking taylor expansion of 4.0 in x 0.820 * [taylor]: Taking taylor expansion of (/ z y) in x 0.820 * [taylor]: Taking taylor expansion of z in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of 2.0 in x 0.820 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.821 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.821 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.821 * [taylor]: Taking taylor expansion of 4.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ z x) in x 0.821 * [taylor]: Taking taylor expansion of z in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.821 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.821 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.821 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.821 * [taylor]: Taking taylor expansion of 4.0 in x 0.821 * [taylor]: Taking taylor expansion of (/ z y) in x 0.821 * [taylor]: Taking taylor expansion of z in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of 2.0 in x 0.821 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.821 * [taylor]: Taking taylor expansion of 4.0 in z 0.821 * [taylor]: Taking taylor expansion of z in z 0.822 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ z y)) 2.0)) in z 0.823 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ z y)) 2.0) in z 0.823 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.823 * [taylor]: Taking taylor expansion of 4.0 in z 0.823 * [taylor]: Taking taylor expansion of (/ z y) in z 0.823 * [taylor]: Taking taylor expansion of z in z 0.823 * [taylor]: Taking taylor expansion of y in z 0.823 * [taylor]: Taking taylor expansion of 2.0 in z 0.824 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.824 * [taylor]: Taking taylor expansion of 2.0 in y 0.825 * [taylor]: Taking taylor expansion of 4.0 in y 0.827 * [taylor]: Taking taylor expansion of 0 in z 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.828 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.828 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.828 * [taylor]: Taking taylor expansion of 4.0 in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [approximate]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in (x z y) around 0 0.831 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in y 0.831 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in y 0.831 * [taylor]: Taking taylor expansion of 4.0 in y 0.831 * [taylor]: Taking taylor expansion of (/ z x) in y 0.831 * [taylor]: Taking taylor expansion of z in y 0.831 * [taylor]: Taking taylor expansion of x in y 0.831 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in y 0.831 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in y 0.831 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in y 0.831 * [taylor]: Taking taylor expansion of 4.0 in y 0.831 * [taylor]: Taking taylor expansion of (/ z y) in y 0.831 * [taylor]: Taking taylor expansion of z in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 2.0 in y 0.831 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in z 0.831 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.831 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in z 0.832 * [taylor]: Taking taylor expansion of 4.0 in z 0.832 * [taylor]: Taking taylor expansion of (/ z x) in z 0.832 * [taylor]: Taking taylor expansion of z in z 0.832 * [taylor]: Taking taylor expansion of x in z 0.832 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in z 0.832 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in z 0.832 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.832 * [taylor]: Taking taylor expansion of 4.0 in z 0.832 * [taylor]: Taking taylor expansion of (/ z y) in z 0.832 * [taylor]: Taking taylor expansion of z in z 0.832 * [taylor]: Taking taylor expansion of y in z 0.832 * [taylor]: Taking taylor expansion of 2.0 in z 0.832 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.832 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.832 * [taylor]: Taking taylor expansion of 4.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ z x) in x 0.832 * [taylor]: Taking taylor expansion of z in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.832 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.832 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.832 * [taylor]: Taking taylor expansion of 4.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ z y) in x 0.832 * [taylor]: Taking taylor expansion of z in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of 2.0 in x 0.832 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.832 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.832 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.832 * [taylor]: Taking taylor expansion of 4.0 in x 0.832 * [taylor]: Taking taylor expansion of (/ z x) in x 0.832 * [taylor]: Taking taylor expansion of z in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.833 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.833 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.833 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.833 * [taylor]: Taking taylor expansion of 4.0 in x 0.833 * [taylor]: Taking taylor expansion of (/ z y) in x 0.833 * [taylor]: Taking taylor expansion of z in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of 2.0 in x 0.833 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.833 * [taylor]: Taking taylor expansion of 4.0 in z 0.833 * [taylor]: Taking taylor expansion of z in z 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ z y)) 2.0)) in z 0.835 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ z y)) 2.0) in z 0.835 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.835 * [taylor]: Taking taylor expansion of 4.0 in z 0.835 * [taylor]: Taking taylor expansion of (/ z y) in z 0.835 * [taylor]: Taking taylor expansion of z in z 0.835 * [taylor]: Taking taylor expansion of y in z 0.835 * [taylor]: Taking taylor expansion of 2.0 in z 0.835 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.835 * [taylor]: Taking taylor expansion of 2.0 in y 0.836 * [taylor]: Taking taylor expansion of 4.0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in z 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.839 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.839 * [taylor]: Taking taylor expansion of 4.0 in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of 0 in y 0.842 * * * [progress]: simplifying candidates 0.843 * [simplify]: Simplifying using # : (expm1 (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (log1p (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (* 4.0 (/ x z)) (log (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (exp (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (* (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))))) (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (* (* (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (sqrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (sqrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) (- (* 4.0 (/ x z)) (+ (* 4.0 (/ y z)) 2.0)) 0.846 * * [simplify]: iteration 0 : 37 enodes (cost 89 ) 0.849 * * [simplify]: iteration 1 : 87 enodes (cost 78 ) 0.852 * * [simplify]: iteration 2 : 273 enodes (cost 78 ) 0.861 * * [simplify]: iteration 3 : 1509 enodes (cost 78 ) 0.900 * * [simplify]: iteration 4 : 5002 enodes (cost 75 ) 0.901 * [simplify]: Simplified to: (expm1 (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (log1p (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (* 4.0 (/ x z)) (log (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (exp (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (* (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))))) (cbrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (pow (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) 3) (sqrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (sqrt (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))) (fma (/ 4.0 z) (- x y) (- 2.0)) (fma (/ 4.0 z) (- x y) (- 2.0)) (fma (/ 4.0 z) (- x y) (- 2.0)) 0.901 * * * [progress]: adding candidates to table 0.937 * [progress]: [Phase 3 of 3] Extracting. 0.937 * * [regime]: Finding splitpoints for: (# #) 0.937 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.937 * * * * [regimes]: Trying to branch on z from (# #) 0.952 * * * * [regimes]: Trying to branch on y from (# #) 0.965 * * * * [regimes]: Trying to branch on x from (# #) 0.980 * * * [regime]: Found split indices: #