23.457 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (* 4.0 (- (- x y) (* z 0.5))) z) 0.021 * [simplify]: Sending expressions to egg_math: (/ (* h0 (- (- h1 h2) (* h3 h4))) h3) 0.024 * * [simplify]: iteration 0 : 20 enodes (cost 5 ) 0.026 * * [simplify]: iteration 1 : 47 enodes (cost 5 ) 0.028 * * [simplify]: iteration 2 : 146 enodes (cost 5 ) 0.031 * * [simplify]: iteration 3 : 356 enodes (cost 5 ) 0.036 * * [simplify]: iteration 4 : 750 enodes (cost 5 ) 0.045 * * [simplify]: iteration 5 : 1604 enodes (cost 5 ) 0.059 * * [simplify]: iteration 6 : 2577 enodes (cost 5 ) 0.088 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.088 * [simplify]: Simplified to: (* (/ 4.0 z) (- x (fma 0.5 z y))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in (z x y) around 0 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in y 0.141 * [taylor]: Taking taylor expansion of 4.0 in y 0.141 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in y 0.141 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in y 0.141 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.141 * [taylor]: Taking taylor expansion of (* 0.5 z) in y 0.141 * [taylor]: Taking taylor expansion of 0.5 in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in x 0.141 * [taylor]: Taking taylor expansion of 4.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.141 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.142 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.142 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.142 * [taylor]: Taking taylor expansion of 0.5 in x 0.142 * [taylor]: Taking taylor expansion of z in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of z in x 0.142 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in z 0.142 * [taylor]: Taking taylor expansion of 4.0 in z 0.142 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.142 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.142 * [taylor]: Taking taylor expansion of x in z 0.142 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.142 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.142 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.142 * [taylor]: Taking taylor expansion of 0.5 in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.143 * [taylor]: Taking taylor expansion of (* 4.0 (/ (- x (fma 0.5 z y)) z)) in z 0.143 * [taylor]: Taking taylor expansion of 4.0 in z 0.143 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.143 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.143 * [taylor]: Taking taylor expansion of x in z 0.143 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.143 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.143 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.143 * [taylor]: Taking taylor expansion of 0.5 in z 0.143 * [taylor]: Taking taylor expansion of z in z 0.143 * [taylor]: Taking taylor expansion of y in z 0.143 * [taylor]: Taking taylor expansion of z in z 0.144 * [taylor]: Taking taylor expansion of (* 4.0 (- x y)) in x 0.144 * [taylor]: Taking taylor expansion of 4.0 in x 0.144 * [taylor]: Taking taylor expansion of (- x y) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (* -4.0 y) in y 0.144 * [taylor]: Taking taylor expansion of -4.0 in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.147 * [taylor]: Taking taylor expansion of 2.0 in x 0.147 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.147 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [taylor]: Taking taylor expansion of 4.0 in y 0.150 * [approximate]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in (z x y) around 0 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in y 0.151 * [taylor]: Taking taylor expansion of 4.0 in y 0.151 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in y 0.151 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in y 0.151 * [taylor]: Taking taylor expansion of 0.5 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.151 * [taylor]: Taking taylor expansion of z in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in x 0.151 * [taylor]: Taking taylor expansion of 4.0 in x 0.151 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.151 * [taylor]: Taking taylor expansion of z in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.152 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.152 * [taylor]: Taking taylor expansion of 0.5 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.152 * [taylor]: Taking taylor expansion of z in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in z 0.152 * [taylor]: Taking taylor expansion of 4.0 in z 0.152 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.152 * [taylor]: Taking taylor expansion of x in z 0.152 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.152 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.152 * [taylor]: Taking taylor expansion of 0.5 in z 0.152 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.152 * [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 0.152 * [taylor]: Taking taylor expansion of (* 4.0 (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))))) in z 0.152 * [taylor]: Taking taylor expansion of 4.0 in z 0.152 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.152 * [taylor]: Taking taylor expansion of z in z 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.153 * [taylor]: Taking taylor expansion of x in z 0.153 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.153 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.153 * [taylor]: Taking taylor expansion of 0.5 in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.153 * [taylor]: Taking taylor expansion of z in z 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.153 * [taylor]: Taking taylor expansion of y in z 0.155 * [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 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.165 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.165 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.165 * [taylor]: Taking taylor expansion of 4.0 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [approximate]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in (z x y) around 0 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in y 0.168 * [taylor]: Taking taylor expansion of 4.0 in y 0.168 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in y 0.168 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in y 0.168 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in y 0.168 * [taylor]: Taking taylor expansion of 0.5 in y 0.168 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.168 * [taylor]: Taking taylor expansion of -1 in y 0.168 * [taylor]: Taking taylor expansion of z in y 0.168 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.168 * [taylor]: Taking taylor expansion of -1 in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in x 0.168 * [taylor]: Taking taylor expansion of 4.0 in x 0.168 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of z in x 0.168 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.168 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.169 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.169 * [taylor]: Taking taylor expansion of 0.5 in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of z in x 0.169 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.169 * [taylor]: Taking taylor expansion of -1 in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in z 0.169 * [taylor]: Taking taylor expansion of 4.0 in z 0.169 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.169 * [taylor]: Taking taylor expansion of z in z 0.169 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.169 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.169 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.169 * [taylor]: Taking taylor expansion of 0.5 in z 0.169 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.169 * [taylor]: Taking taylor expansion of -1 in z 0.169 * [taylor]: Taking taylor expansion of z in z 0.170 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.170 * [taylor]: Taking taylor expansion of -1 in z 0.170 * [taylor]: Taking taylor expansion of y in z 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.170 * [taylor]: Taking taylor expansion of x in z 0.170 * [taylor]: Taking taylor expansion of (* 4.0 (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)))) in z 0.170 * [taylor]: Taking taylor expansion of 4.0 in z 0.170 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.170 * [taylor]: Taking taylor expansion of z in z 0.170 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.170 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.170 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.170 * [taylor]: Taking taylor expansion of 0.5 in z 0.170 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.170 * [taylor]: Taking taylor expansion of -1 in z 0.170 * [taylor]: Taking taylor expansion of z in z 0.170 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.170 * [taylor]: Taking taylor expansion of -1 in z 0.170 * [taylor]: Taking taylor expansion of y in z 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.170 * [taylor]: Taking taylor expansion of x in z 0.176 * [taylor]: Taking taylor expansion of 0 in x 0.179 * [taylor]: Taking taylor expansion of (- 2.0) in x 0.179 * [taylor]: Taking taylor expansion of 2.0 in x 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.181 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 x)) (* 4.0 (/ 1 y))) in x 0.181 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 4.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of 4.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of 4.0 in y 0.182 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.186 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.187 * [taylor]: Taking taylor expansion of 4.0 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.189 * * * [progress]: simplifying candidates 0.190 * [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)) 0.191 * [simplify]: Sending expressions to egg_math: (expm1 (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (log1p (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (* (/ h0 h1) (- h2 (fma h3 h1 h4))) (+ (- (log h0) (log h1)) (log (- h2 (fma h3 h1 h4)))) (+ (log (/ h0 h1)) (log (- h2 (fma h3 h1 h4)))) (log (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (exp (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (* (/ (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (- h2 (fma h3 h1 h4)) (- h2 (fma h3 h1 h4))) (- h2 (fma h3 h1 h4)))) (* (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1)) (* (* (- h2 (fma h3 h1 h4)) (- h2 (fma h3 h1 h4))) (- h2 (fma h3 h1 h4)))) (* (cbrt (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (cbrt (* (/ h0 h1) (- h2 (fma h3 h1 h4))))) (cbrt (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (* (* (* (/ h0 h1) (- h2 (fma h3 h1 h4))) (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (sqrt (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (sqrt (* (/ h0 h1) (- h2 (fma h3 h1 h4)))) (* h0 (- (pow h2 3) (pow (fma h3 h1 h4) 3))) (* h1 (+ (* h2 h2) (+ (* (fma h3 h1 h4) (fma h3 h1 h4)) (* h2 (fma h3 h1 h4))))) (* h0 (- (* h2 h2) (* (fma h3 h1 h4) (fma h3 h1 h4)))) (* h1 (+ h2 (fma h3 h1 h4))) (* (sqrt (/ h0 h1)) (sqrt (- h2 (fma h3 h1 h4)))) (* (sqrt (/ h0 h1)) (sqrt (- h2 (fma h3 h1 h4)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (- h2 (fma h3 h1 h4)))) (* (/ (sqrt h0) (sqrt h1)) (sqrt (- h2 (fma h3 h1 h4)))) (* (/ h0 h1) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))))) (* (/ h0 h1) (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (* (/ h0 h1) (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (fma h3 h1 h4) 1)))) (* (/ h0 h1) (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1))) (* (/ h0 h1) (fma (sqrt h2) (sqrt h2) (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))))) (* (/ h0 h1) (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma (sqrt h2) (sqrt h2) (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (* (/ h0 h1) (fma (sqrt h2) (sqrt h2) (- (* (fma h3 h1 h4) 1)))) (* (/ h0 h1) (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1))) (* (/ h0 h1) (fma 1 h2 (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))))) (* (/ h0 h1) (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma 1 h2 (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))))) (* (/ h0 h1) (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (* (/ h0 h1) (fma 1 h2 (- (* (fma h3 h1 h4) 1)))) (* (/ h0 h1) (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1))) (* (/ h0 h1) h2) (* (/ h0 h1) (- (fma h3 h1 h4))) (* (/ h0 h1) h2) (* (/ h0 h1) (- (fma h3 h1 h4))) (* (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (/ h0 h1)) (* (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))) (/ h0 h1)) (* (fma (* (cbrt h2) (cbrt h2)) (cbrt h2) (- (* (fma h3 h1 h4) 1))) (/ h0 h1)) (* (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1)) (/ h0 h1)) (* (fma (sqrt h2) (sqrt h2) (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (/ h0 h1)) (* (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma (sqrt h2) (sqrt h2) (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))) (/ h0 h1)) (* (fma (sqrt h2) (sqrt h2) (- (* (fma h3 h1 h4) 1))) (/ h0 h1)) (* (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1)) (/ h0 h1)) (* (fma 1 h2 (- (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4)))))) (/ h0 h1)) (* (fma (- (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))) (* (cbrt (fma h3 h1 h4)) (* (cbrt (fma h3 h1 h4)) (cbrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma 1 h2 (- (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4))))) (/ h0 h1)) (* (fma (- (sqrt (fma h3 h1 h4))) (sqrt (fma h3 h1 h4)) (* (sqrt (fma h3 h1 h4)) (sqrt (fma h3 h1 h4)))) (/ h0 h1)) (* (fma 1 h2 (- (* (fma h3 h1 h4) 1))) (/ h0 h1)) (* (fma (- (fma h3 h1 h4)) 1 (* (fma h3 h1 h4) 1)) (/ h0 h1)) (* h2 (/ h0 h1)) (* (- (fma h3 h1 h4)) (/ h0 h1)) (* h2 (/ h0 h1)) (* (- (fma h3 h1 h4)) (/ h0 h1)) (* (/ h0 h1) (* (cbrt (- h2 (fma h3 h1 h4))) (cbrt (- h2 (fma h3 h1 h4))))) (* (/ h0 h1) (sqrt (- h2 (fma h3 h1 h4)))) (* (/ h0 h1) 1) (* (/ h0 h1) (+ (sqrt h2) (sqrt (fma h3 h1 h4)))) (* (/ h0 h1) 1) (* (cbrt (/ h0 h1)) (- h2 (fma h3 h1 h4))) (* (sqrt (/ h0 h1)) (- h2 (fma h3 h1 h4))) (* (/ (cbrt h0) (cbrt h1)) (- h2 (fma h3 h1 h4))) (* (/ (cbrt h0) (sqrt h1)) (- h2 (fma h3 h1 h4))) (* (/ (cbrt h0) h1) (- h2 (fma h3 h1 h4))) (* (/ (sqrt h0) (cbrt h1)) (- h2 (fma h3 h1 h4))) (* (/ (sqrt h0) (sqrt h1)) (- h2 (fma h3 h1 h4))) (* (/ (sqrt h0) h1) (- h2 (fma h3 h1 h4))) (* (/ h0 (cbrt h1)) (- h2 (fma h3 h1 h4))) (* (/ h0 (sqrt h1)) (- h2 (fma h3 h1 h4))) (* (/ h0 h1) (- h2 (fma h3 h1 h4))) (* (/ h0 h1) (- h2 (fma h3 h1 h4))) (* (/ 1 h1) (- h2 (fma h3 h1 h4))) (* (/ h0 h1) (- (pow h2 3) (pow (fma h3 h1 h4) 3))) (* (/ h0 h1) (- (* h2 h2) (* (fma h3 h1 h4) (fma h3 h1 h4)))) (* h0 (- h2 (fma h3 h1 h4))) (- (* h0 (/ h2 h1)) (+ (* h0 (/ h4 h1)) h5)) (- (* h0 (/ h2 h1)) (+ (* h0 (/ h4 h1)) h5)) (- (* h0 (/ h2 h1)) (+ (* h0 (/ h4 h1)) h5)) 0.197 * * [simplify]: iteration 0 : 393 enodes (cost 670 ) 0.206 * * [simplify]: iteration 1 : 1513 enodes (cost 480 ) 0.235 * * [simplify]: iteration 2 : 5001 enodes (cost 468 ) 0.239 * [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))) 0.239 * * * [progress]: adding candidates to table 0.345 * * [progress]: iteration 2 / 4 0.345 * * * [progress]: picking best candidate 0.349 * * * * [pick]: Picked # 0.349 * * * [progress]: localizing error 0.357 * * * [progress]: generating rewritten candidates 0.357 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.357 * * * [progress]: generating series expansions 0.357 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in (x z y) around 0 0.358 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in y 0.358 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in y 0.358 * [taylor]: Taking taylor expansion of 4.0 in y 0.358 * [taylor]: Taking taylor expansion of (/ x z) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of z in y 0.358 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in y 0.358 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in y 0.358 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in y 0.358 * [taylor]: Taking taylor expansion of 4.0 in y 0.358 * [taylor]: Taking taylor expansion of (/ y z) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of z in y 0.358 * [taylor]: Taking taylor expansion of 2.0 in y 0.358 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in z 0.358 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in z 0.358 * [taylor]: Taking taylor expansion of 4.0 in z 0.358 * [taylor]: Taking taylor expansion of (/ x z) in z 0.358 * [taylor]: Taking taylor expansion of x in z 0.358 * [taylor]: Taking taylor expansion of z in z 0.358 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in z 0.358 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in z 0.358 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.358 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in z 0.359 * [taylor]: Taking taylor expansion of 4.0 in z 0.359 * [taylor]: Taking taylor expansion of (/ y z) in z 0.359 * [taylor]: Taking taylor expansion of y in z 0.359 * [taylor]: Taking taylor expansion of z in z 0.359 * [taylor]: Taking taylor expansion of 2.0 in z 0.359 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in x 0.359 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in x 0.359 * [taylor]: Taking taylor expansion of 4.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ x z) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of z in x 0.359 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in x 0.359 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in x 0.359 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in x 0.359 * [taylor]: Taking taylor expansion of 4.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ y z) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of z in x 0.359 * [taylor]: Taking taylor expansion of 2.0 in x 0.359 * [taylor]: Taking taylor expansion of (fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0))) in x 0.359 * [taylor]: Rewrote expression to (+ (* 4.0 (/ x z)) (- (fma 4.0 (/ y z) 2.0))) 0.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ x z)) in x 0.359 * [taylor]: Taking taylor expansion of 4.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ x z) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of z in x 0.359 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ y z) 2.0)) in x 0.359 * [taylor]: Taking taylor expansion of (fma 4.0 (/ y z) 2.0) in x 0.359 * [taylor]: Rewrote expression to (+ (* 4.0 (/ y z)) 2.0) 0.359 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in x 0.359 * [taylor]: Taking taylor expansion of 4.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ y z) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of z in x 0.360 * [taylor]: Taking taylor expansion of 2.0 in x 0.360 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ y z)) 2.0)) in z 0.360 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ y z)) 2.0) in z 0.360 * [taylor]: Taking taylor expansion of (* 4.0 (/ y z)) in z 0.360 * [taylor]: Taking taylor expansion of 4.0 in z 0.360 * [taylor]: Taking taylor expansion of (/ y z) in z 0.360 * [taylor]: Taking taylor expansion of y in z 0.360 * [taylor]: Taking taylor expansion of z in z 0.360 * [taylor]: Taking taylor expansion of 2.0 in z 0.360 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.360 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.360 * [taylor]: Taking taylor expansion of 4.0 in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 z)) in z 0.361 * [taylor]: Taking taylor expansion of 4.0 in z 0.362 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.362 * [taylor]: Taking taylor expansion of z in z 0.362 * [taylor]: Taking taylor expansion of 4.0 in y 0.363 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.363 * [taylor]: Taking taylor expansion of 2.0 in y 0.365 * [approximate]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in (x z y) around 0 0.365 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in y 0.366 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.366 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in y 0.366 * [taylor]: Taking taylor expansion of 4.0 in y 0.366 * [taylor]: Taking taylor expansion of (/ z x) in y 0.366 * [taylor]: Taking taylor expansion of z in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in y 0.366 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in y 0.366 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.366 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in y 0.366 * [taylor]: Taking taylor expansion of 4.0 in y 0.366 * [taylor]: Taking taylor expansion of (/ z y) in y 0.366 * [taylor]: Taking taylor expansion of z in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of 2.0 in y 0.366 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in z 0.366 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.366 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in z 0.366 * [taylor]: Taking taylor expansion of 4.0 in z 0.366 * [taylor]: Taking taylor expansion of (/ z x) in z 0.366 * [taylor]: Taking taylor expansion of z in z 0.366 * [taylor]: Taking taylor expansion of x in z 0.366 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in z 0.366 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in z 0.366 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.366 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.366 * [taylor]: Taking taylor expansion of 4.0 in z 0.366 * [taylor]: Taking taylor expansion of (/ z y) in z 0.366 * [taylor]: Taking taylor expansion of z in z 0.366 * [taylor]: Taking taylor expansion of y in z 0.366 * [taylor]: Taking taylor expansion of 2.0 in z 0.366 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.366 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ z x) in x 0.367 * [taylor]: Taking taylor expansion of z in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.367 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.367 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ z y) in x 0.367 * [taylor]: Taking taylor expansion of z in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 2.0 in x 0.367 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.367 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ z x) in x 0.367 * [taylor]: Taking taylor expansion of z in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.367 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.367 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.367 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.367 * [taylor]: Taking taylor expansion of 4.0 in x 0.367 * [taylor]: Taking taylor expansion of (/ z y) in x 0.367 * [taylor]: Taking taylor expansion of z in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 2.0 in x 0.367 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.367 * [taylor]: Taking taylor expansion of 4.0 in z 0.367 * [taylor]: Taking taylor expansion of z in z 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ z y)) 2.0)) in z 0.369 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ z y)) 2.0) in z 0.369 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.369 * [taylor]: Taking taylor expansion of 4.0 in z 0.369 * [taylor]: Taking taylor expansion of (/ z y) in z 0.369 * [taylor]: Taking taylor expansion of z in z 0.369 * [taylor]: Taking taylor expansion of y in z 0.369 * [taylor]: Taking taylor expansion of 2.0 in z 0.369 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.369 * [taylor]: Taking taylor expansion of 2.0 in y 0.370 * [taylor]: Taking taylor expansion of 4.0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in z 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.372 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of 4.0 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [approximate]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in (x z y) around 0 0.375 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in y 0.375 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in y 0.375 * [taylor]: Taking taylor expansion of 4.0 in y 0.375 * [taylor]: Taking taylor expansion of (/ z x) in y 0.375 * [taylor]: Taking taylor expansion of z in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in y 0.375 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in y 0.375 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in y 0.375 * [taylor]: Taking taylor expansion of 4.0 in y 0.375 * [taylor]: Taking taylor expansion of (/ z y) in y 0.375 * [taylor]: Taking taylor expansion of z in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 2.0 in y 0.375 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in z 0.376 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in z 0.376 * [taylor]: Taking taylor expansion of 4.0 in z 0.376 * [taylor]: Taking taylor expansion of (/ z x) in z 0.376 * [taylor]: Taking taylor expansion of z in z 0.376 * [taylor]: Taking taylor expansion of x in z 0.376 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in z 0.376 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in z 0.376 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.376 * [taylor]: Taking taylor expansion of 4.0 in z 0.376 * [taylor]: Taking taylor expansion of (/ z y) in z 0.376 * [taylor]: Taking taylor expansion of z in z 0.376 * [taylor]: Taking taylor expansion of y in z 0.376 * [taylor]: Taking taylor expansion of 2.0 in z 0.376 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.376 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.376 * [taylor]: Taking taylor expansion of 4.0 in x 0.376 * [taylor]: Taking taylor expansion of (/ z x) in x 0.376 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.377 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.377 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.377 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.377 * [taylor]: Taking taylor expansion of 4.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ z y) in x 0.377 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of 2.0 in x 0.377 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z x) (- (fma 4.0 (/ z y) 2.0))) in x 0.377 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z x)) (- (fma 4.0 (/ z y) 2.0))) 0.377 * [taylor]: Taking taylor expansion of (* 4.0 (/ z x)) in x 0.377 * [taylor]: Taking taylor expansion of 4.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ z x) in x 0.377 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of (- (fma 4.0 (/ z y) 2.0)) in x 0.377 * [taylor]: Taking taylor expansion of (fma 4.0 (/ z y) 2.0) in x 0.377 * [taylor]: Rewrote expression to (+ (* 4.0 (/ z y)) 2.0) 0.377 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in x 0.377 * [taylor]: Taking taylor expansion of 4.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ z y) in x 0.377 * [taylor]: Taking taylor expansion of z in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of 2.0 in x 0.377 * [taylor]: Taking taylor expansion of (* 4.0 z) in z 0.377 * [taylor]: Taking taylor expansion of 4.0 in z 0.377 * [taylor]: Taking taylor expansion of z in z 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ z y)) 2.0)) in z 0.379 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ z y)) 2.0) in z 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ z y)) in z 0.379 * [taylor]: Taking taylor expansion of 4.0 in z 0.379 * [taylor]: Taking taylor expansion of (/ z y) in z 0.379 * [taylor]: Taking taylor expansion of z in z 0.379 * [taylor]: Taking taylor expansion of y in z 0.379 * [taylor]: Taking taylor expansion of 2.0 in z 0.379 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.379 * [taylor]: Taking taylor expansion of 2.0 in y 0.380 * [taylor]: Taking taylor expansion of 4.0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in z 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 y))) in y 0.382 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of 4.0 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.385 * * * [progress]: simplifying candidates 0.385 * [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)) 0.385 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (log1p (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (* h0 (/ h1 h2)) (log (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (exp (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (* (cbrt (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (cbrt (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4))))) (cbrt (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (* (* (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4))) (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (sqrt (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (sqrt (fma h0 (/ h1 h2) (- (fma h0 (/ h3 h2) h4)))) (- (* h0 (/ h1 h2)) (+ (* h0 (/ h3 h2)) h4)) (- (* h0 (/ h1 h2)) (+ (* h0 (/ h3 h2)) h4)) (- (* h0 (/ h1 h2)) (+ (* h0 (/ h3 h2)) h4)) 0.388 * * [simplify]: iteration 0 : 37 enodes (cost 89 ) 0.389 * * [simplify]: iteration 1 : 87 enodes (cost 78 ) 0.392 * * [simplify]: iteration 2 : 273 enodes (cost 78 ) 0.397 * * [simplify]: iteration 3 : 1509 enodes (cost 78 ) 0.430 * * [simplify]: iteration 4 : 5002 enodes (cost 75 ) 0.431 * [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)) 0.431 * * * [progress]: adding candidates to table 0.463 * * [progress]: iteration 3 / 4 0.463 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.490 * * * [progress]: generating series expansions 0.490 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.490 * [approximate]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in (x z y) around 0 0.490 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in y 0.490 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in y 0.490 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.490 * [taylor]: Taking taylor expansion of (* 0.5 z) in y 0.490 * [taylor]: Taking taylor expansion of 0.5 in y 0.490 * [taylor]: Taking taylor expansion of z in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of z in y 0.491 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in z 0.491 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in z 0.491 * [taylor]: Taking taylor expansion of x in z 0.491 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in z 0.491 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.491 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.491 * [taylor]: Taking taylor expansion of 0.5 in z 0.491 * [taylor]: Taking taylor expansion of z in z 0.491 * [taylor]: Taking taylor expansion of y in z 0.491 * [taylor]: Taking taylor expansion of z in z 0.491 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.491 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.491 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.491 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.491 * [taylor]: Taking taylor expansion of z in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of z in x 0.492 * [taylor]: Taking taylor expansion of (/ (- x (fma 0.5 z y)) z) in x 0.492 * [taylor]: Taking taylor expansion of (- x (fma 0.5 z y)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (fma 0.5 z y) in x 0.492 * [taylor]: Rewrote expression to (+ (* 0.5 z) y) 0.492 * [taylor]: Taking taylor expansion of (* 0.5 z) in x 0.492 * [taylor]: Taking taylor expansion of 0.5 in x 0.492 * [taylor]: Taking taylor expansion of z in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of z in x 0.492 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 z) y) z)) in z 0.492 * [taylor]: Taking taylor expansion of -1 in z 0.492 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 z) y) z) in z 0.492 * [taylor]: Taking taylor expansion of (+ (* 0.5 z) y) in z 0.492 * [taylor]: Taking taylor expansion of (* 0.5 z) in z 0.492 * [taylor]: Taking taylor expansion of 0.5 in z 0.492 * [taylor]: Taking taylor expansion of z in z 0.492 * [taylor]: Taking taylor expansion of y in z 0.492 * [taylor]: Taking taylor expansion of z in z 0.493 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.493 * [taylor]: Taking taylor expansion of -1 in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.494 * [taylor]: Taking taylor expansion of z in z 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.496 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.496 * [taylor]: Taking taylor expansion of 0.5 in y 0.500 * [approximate]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in (x z y) around 0 0.500 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in y 0.500 * [taylor]: Taking taylor expansion of z in y 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in y 0.500 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in y 0.500 * [taylor]: Taking taylor expansion of 0.5 in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.500 * [taylor]: Taking taylor expansion of z in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in z 0.500 * [taylor]: Taking taylor expansion of z in z 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in z 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.501 * [taylor]: Taking taylor expansion of x in z 0.501 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in z 0.501 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in z 0.501 * [taylor]: Taking taylor expansion of 0.5 in z 0.501 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.501 * [taylor]: Taking taylor expansion of z in z 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.501 * [taylor]: Taking taylor expansion of y in z 0.501 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.501 * [taylor]: Taking taylor expansion of z in x 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.502 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.502 * [taylor]: Taking taylor expansion of 0.5 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.502 * [taylor]: Taking taylor expansion of z in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (* z (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y)))) in x 0.502 * [taylor]: Taking taylor expansion of z in x 0.502 * [taylor]: Taking taylor expansion of (- (/ 1 x) (fma 0.5 (/ 1 z) (/ 1 y))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 z) (/ 1 y)) in x 0.502 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 z)) (/ 1 y)) 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 z)) in x 0.502 * [taylor]: Taking taylor expansion of 0.5 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.502 * [taylor]: Taking taylor expansion of z in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of z in z 0.504 * [taylor]: Taking taylor expansion of (- (+ (/ z y) 0.5)) in z 0.504 * [taylor]: Taking taylor expansion of (+ (/ z y) 0.5) in z 0.504 * [taylor]: Taking taylor expansion of (/ z y) in z 0.504 * [taylor]: Taking taylor expansion of z in z 0.504 * [taylor]: Taking taylor expansion of y in z 0.504 * [taylor]: Taking taylor expansion of 0.5 in z 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in z 0.506 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.506 * [taylor]: Taking taylor expansion of 0.5 in y 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.508 * [taylor]: Taking taylor expansion of 0 in z 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [approximate]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in (x z y) around 0 0.510 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in y 0.510 * [taylor]: Taking taylor expansion of z in y 0.510 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in y 0.510 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in y 0.510 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in y 0.510 * [taylor]: Taking taylor expansion of 0.5 in y 0.510 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.510 * [taylor]: Taking taylor expansion of -1 in y 0.510 * [taylor]: Taking taylor expansion of z in y 0.510 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.510 * [taylor]: Taking taylor expansion of -1 in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in z 0.510 * [taylor]: Taking taylor expansion of z in z 0.510 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in z 0.511 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in z 0.511 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in z 0.511 * [taylor]: Taking taylor expansion of 0.5 in z 0.511 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.511 * [taylor]: Taking taylor expansion of -1 in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.511 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.511 * [taylor]: Taking taylor expansion of -1 in z 0.511 * [taylor]: Taking taylor expansion of y in z 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in z 0.511 * [taylor]: Taking taylor expansion of x in z 0.511 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of z in x 0.511 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.511 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.511 * [taylor]: Taking taylor expansion of 0.5 in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of z in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (* z (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of z in x 0.512 * [taylor]: Taking taylor expansion of (+ (fma 0.5 (/ -1 z) (/ -1 y)) (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 z) (/ -1 y)) in x 0.512 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 z)) (/ -1 y)) 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 z)) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of z in x 0.512 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of z in z 0.513 * [taylor]: Taking taylor expansion of (- (+ (/ z y) 0.5)) in z 0.513 * [taylor]: Taking taylor expansion of (+ (/ z y) 0.5) in z 0.514 * [taylor]: Taking taylor expansion of (/ z y) in z 0.514 * [taylor]: Taking taylor expansion of z in z 0.514 * [taylor]: Taking taylor expansion of y in z 0.514 * [taylor]: Taking taylor expansion of 0.5 in z 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in z 0.516 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.516 * [taylor]: Taking taylor expansion of 0.5 in y 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of 0 in z 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * * * [progress]: simplifying candidates 0.520 * [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)) 0.520 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- h0 (fma h1 h2 h3)) h2)) (log1p (/ (- h0 (fma h1 h2 h3)) h2)) (- (log (- h0 (fma h1 h2 h3))) (log h2)) (log (/ (- h0 (fma h1 h2 h3)) h2)) (exp (/ (- h0 (fma h1 h2 h3)) h2)) (/ (* (* (- h0 (fma h1 h2 h3)) (- h0 (fma h1 h2 h3))) (- h0 (fma h1 h2 h3))) (* (* h2 h2) h2)) (* (cbrt (/ (- h0 (fma h1 h2 h3)) h2)) (cbrt (/ (- h0 (fma h1 h2 h3)) h2))) (cbrt (/ (- h0 (fma h1 h2 h3)) h2)) (* (* (/ (- h0 (fma h1 h2 h3)) h2) (/ (- h0 (fma h1 h2 h3)) h2)) (/ (- h0 (fma h1 h2 h3)) h2)) (sqrt (/ (- h0 (fma h1 h2 h3)) h2)) (sqrt (/ (- h0 (fma h1 h2 h3)) h2)) (- (- h0 (fma h1 h2 h3))) (- h2) (/ h0 h2) (/ (fma h1 h2 h3) h2) (/ (* (cbrt (- h0 (fma h1 h2 h3))) (cbrt (- h0 (fma h1 h2 h3)))) (* (cbrt h2) (cbrt h2))) (/ (cbrt (- h0 (fma h1 h2 h3))) (cbrt h2)) (/ (* (cbrt (- h0 (fma h1 h2 h3))) (cbrt (- h0 (fma h1 h2 h3)))) (sqrt h2)) (/ (cbrt (- h0 (fma h1 h2 h3))) (sqrt h2)) (/ (* (cbrt (- h0 (fma h1 h2 h3))) (cbrt (- h0 (fma h1 h2 h3)))) 1) (/ (cbrt (- h0 (fma h1 h2 h3))) h2) (/ (sqrt (- h0 (fma h1 h2 h3))) (* (cbrt h2) (cbrt h2))) (/ (sqrt (- h0 (fma h1 h2 h3))) (cbrt h2)) (/ (sqrt (- h0 (fma h1 h2 h3))) (sqrt h2)) (/ (sqrt (- h0 (fma h1 h2 h3))) (sqrt h2)) (/ (sqrt (- h0 (fma h1 h2 h3))) 1) (/ (sqrt (- h0 (fma h1 h2 h3))) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (- h0 (fma h1 h2 h3)) (cbrt h2)) (/ 1 (sqrt h2)) (/ (- h0 (fma h1 h2 h3)) (sqrt h2)) (/ 1 1) (/ (- h0 (fma h1 h2 h3)) h2) (/ (+ (sqrt h0) (sqrt (fma h1 h2 h3))) (* (cbrt h2) (cbrt h2))) (/ (- (sqrt h0) (sqrt (fma h1 h2 h3))) (cbrt h2)) (/ (+ (sqrt h0) (sqrt (fma h1 h2 h3))) (sqrt h2)) (/ (- (sqrt h0) (sqrt (fma h1 h2 h3))) (sqrt h2)) (/ (+ (sqrt h0) (sqrt (fma h1 h2 h3))) 1) (/ (- (sqrt h0) (sqrt (fma h1 h2 h3))) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (- h0 (fma h1 h2 h3)) (cbrt h2)) (/ 1 (sqrt h2)) (/ (- h0 (fma h1 h2 h3)) (sqrt h2)) (/ 1 1) (/ (- h0 (fma h1 h2 h3)) h2) (/ 1 h2) (/ h2 (- h0 (fma h1 h2 h3))) (/ (- h0 (fma h1 h2 h3)) (* (cbrt h2) (cbrt h2))) (/ (- h0 (fma h1 h2 h3)) (sqrt h2)) (/ (- h0 (fma h1 h2 h3)) 1) (/ h2 (cbrt (- h0 (fma h1 h2 h3)))) (/ h2 (sqrt (- h0 (fma h1 h2 h3)))) (/ h2 (- h0 (fma h1 h2 h3))) (/ h2 (- (sqrt h0) (sqrt (fma h1 h2 h3)))) (/ h2 (- h0 (fma h1 h2 h3))) (* h2 (+ (* h0 h0) (+ (* (fma h1 h2 h3) (fma h1 h2 h3)) (* h0 (fma h1 h2 h3))))) (* h2 (+ h0 (fma h1 h2 h3))) (- (/ h0 h2) (+ (/ h3 h2) h1)) (- (/ h0 h2) (+ (/ h3 h2) h1)) (- (/ h0 h2) (+ (/ h3 h2) h1)) 0.524 * * [simplify]: iteration 0 : 170 enodes (cost 266 ) 0.527 * * [simplify]: iteration 1 : 469 enodes (cost 252 ) 0.534 * * [simplify]: iteration 2 : 1622 enodes (cost 252 ) 0.560 * * [simplify]: iteration 3 : 5001 enodes (cost 251 ) 0.561 * [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)) 0.562 * * * [progress]: adding candidates to table 0.645 * [progress]: [Phase 3 of 3] Extracting. 0.645 * * [regime]: Finding splitpoints for: (# #) 0.645 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 0.645 * * * * [regimes]: Trying to branch on z from (# #) 0.660 * * * * [regimes]: Trying to branch on y from (# #) 0.672 * * * * [regimes]: Trying to branch on x from (# #) 0.687 * * * [regime]: Found split indices: #