2.563 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying: (* 2.0 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) 0.094 * * [simplify]: Extracting # 0 : cost 0 0.094 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: Extracting # 3 : cost 0 0.094 * * [simplify]: Extracting # 4 : cost 0 0.095 * * [simplify]: Extracting # 5 : cost 0 0.095 * * [simplify]: Extracting # 6 : cost 0 0.095 * * [simplify]: Extracting # 7 : cost 0 0.095 * * [simplify]: iteration 0 : 11 enodes (cost 14 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: Extracting # 4 : cost 0 0.099 * * [simplify]: iteration 1 : 22 enodes (cost 12 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: iteration 2 : 44 enodes (cost 11 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: Extracting # 1 : cost 0 0.125 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: Extracting # 3 : cost 0 0.125 * * [simplify]: iteration 3 : 63 enodes (cost 11 ) 0.146 * * [simplify]: Extracting # 0 : cost 0 0.147 * * [simplify]: iteration 4 : 67 enodes (cost 11 ) 0.168 * * [simplify]: Extracting # 0 : cost 0 0.168 * * [simplify]: iteration 5 : 68 enodes (cost 11 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: iteration done: 68 enodes (cost 11 ) 0.189 * [simplify]: Simplified to: (* (sqrt (fma y z (* x (+ y z)))) 2.0) 0.204 * * [progress]: iteration 1 / 4 0.204 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.217 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.253 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.261 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.325 * [backup-simplify]: Simplify (sqrt (+ (+ (* x y) (* x z)) (* y z))) into (sqrt (+ (* x z) (+ (* z y) (* x y)))) 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in (x y z) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in z 0.325 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in z 0.325 * [taylor]: Taking taylor expansion of (* x z) in z 0.325 * [taylor]: Taking taylor expansion of x in z 0.325 * [backup-simplify]: Simplify x into x 0.325 * [taylor]: Taking taylor expansion of z in z 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in z 0.325 * [taylor]: Taking taylor expansion of (* z y) in z 0.325 * [taylor]: Taking taylor expansion of z in z 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in z 0.325 * [backup-simplify]: Simplify y into y 0.325 * [taylor]: Taking taylor expansion of (* x y) in z 0.326 * [taylor]: Taking taylor expansion of x in z 0.326 * [backup-simplify]: Simplify x into x 0.326 * [taylor]: Taking taylor expansion of y in z 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (* x 0) into 0 0.326 * [backup-simplify]: Simplify (* 0 y) into 0 0.326 * [backup-simplify]: Simplify (* x y) into (* x y) 0.326 * [backup-simplify]: Simplify (+ 0 (* x y)) into (* x y) 0.326 * [backup-simplify]: Simplify (+ 0 (* x y)) into (* x y) 0.326 * [backup-simplify]: Simplify (sqrt (* x y)) into (sqrt (* x y)) 0.327 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.328 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.328 * [backup-simplify]: Simplify (+ y 0) into y 0.328 * [backup-simplify]: Simplify (+ x y) into (+ x y) 0.328 * [backup-simplify]: Simplify (/ (+ x y) (* 2 (sqrt (* x y)))) into (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in y 0.328 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in y 0.328 * [taylor]: Taking taylor expansion of (* x z) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [backup-simplify]: Simplify x into x 0.328 * [taylor]: Taking taylor expansion of z in y 0.328 * [backup-simplify]: Simplify z into z 0.328 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in y 0.328 * [taylor]: Taking taylor expansion of (* z y) in y 0.328 * [taylor]: Taking taylor expansion of z in y 0.328 * [backup-simplify]: Simplify z into z 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of (* x y) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [backup-simplify]: Simplify x into x 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* x z) into (* x z) 0.328 * [backup-simplify]: Simplify (* z 0) into 0 0.329 * [backup-simplify]: Simplify (* x 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (+ (* x z) 0) into (* x z) 0.329 * [backup-simplify]: Simplify (sqrt (* x z)) into (sqrt (* x z)) 0.329 * [backup-simplify]: Simplify (+ (* x 0) (* 0 z)) into 0 0.330 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.330 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.330 * [backup-simplify]: Simplify (+ z x) into (+ x z) 0.330 * [backup-simplify]: Simplify (+ 0 (+ x z)) into (+ x z) 0.330 * [backup-simplify]: Simplify (/ (+ x z) (* 2 (sqrt (* x z)))) into (* 1/2 (* (+ x z) (sqrt (/ 1 (* x z))))) 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in x 0.330 * [taylor]: Taking taylor expansion of (* x z) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of z in x 0.331 * [backup-simplify]: Simplify z into z 0.331 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in x 0.331 * [taylor]: Taking taylor expansion of (* z y) in x 0.331 * [taylor]: Taking taylor expansion of z in x 0.331 * [backup-simplify]: Simplify z into z 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [backup-simplify]: Simplify y into y 0.331 * [taylor]: Taking taylor expansion of (* x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [backup-simplify]: Simplify y into y 0.331 * [backup-simplify]: Simplify (* 0 z) into 0 0.331 * [backup-simplify]: Simplify (* z y) into (* z y) 0.331 * [backup-simplify]: Simplify (* 0 y) into 0 0.331 * [backup-simplify]: Simplify (+ (* z y) 0) into (* z y) 0.331 * [backup-simplify]: Simplify (+ 0 (* z y)) into (* z y) 0.331 * [backup-simplify]: Simplify (sqrt (* z y)) into (sqrt (* z y)) 0.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 z)) into z 0.331 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.332 * [backup-simplify]: Simplify (+ 0 y) into y 0.332 * [backup-simplify]: Simplify (+ z y) into (+ z y) 0.332 * [backup-simplify]: Simplify (/ (+ z y) (* 2 (sqrt (* z y)))) into (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (* x z) (+ (* z y) (* x y)))) in x 0.332 * [taylor]: Taking taylor expansion of (+ (* x z) (+ (* z y) (* x y))) in x 0.332 * [taylor]: Taking taylor expansion of (* x z) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of z in x 0.332 * [backup-simplify]: Simplify z into z 0.332 * [taylor]: Taking taylor expansion of (+ (* z y) (* x y)) in x 0.332 * [taylor]: Taking taylor expansion of (* z y) in x 0.332 * [taylor]: Taking taylor expansion of z in x 0.332 * [backup-simplify]: Simplify z into z 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [taylor]: Taking taylor expansion of (* x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [backup-simplify]: Simplify (* 0 z) into 0 0.332 * [backup-simplify]: Simplify (* z y) into (* z y) 0.332 * [backup-simplify]: Simplify (* 0 y) into 0 0.332 * [backup-simplify]: Simplify (+ (* z y) 0) into (* z y) 0.332 * [backup-simplify]: Simplify (+ 0 (* z y)) into (* z y) 0.332 * [backup-simplify]: Simplify (sqrt (* z y)) into (sqrt (* z y)) 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 z)) into z 0.333 * [backup-simplify]: Simplify (+ (* z 0) (* 0 y)) into 0 0.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.333 * [backup-simplify]: Simplify (+ 0 y) into y 0.333 * [backup-simplify]: Simplify (+ z y) into (+ z y) 0.333 * [backup-simplify]: Simplify (/ (+ z y) (* 2 (sqrt (* z y)))) into (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) 0.333 * [taylor]: Taking taylor expansion of (sqrt (* z y)) in y 0.333 * [taylor]: Taking taylor expansion of (* z y) in y 0.333 * [taylor]: Taking taylor expansion of z in y 0.333 * [backup-simplify]: Simplify z into z 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* z 0) into 0 0.334 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.334 * [backup-simplify]: Simplify (sqrt 0) into 0 0.334 * [backup-simplify]: Simplify (/ z (* 2 (sqrt 0))) into (* +nan.0 z) 0.334 * [taylor]: Taking taylor expansion of 0 in z 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.334 * [backup-simplify]: Simplify 1/2 into 1/2 0.334 * [taylor]: Taking taylor expansion of (* (+ z y) (sqrt (/ 1 (* z y)))) in y 0.334 * [taylor]: Taking taylor expansion of (+ z y) in y 0.334 * [taylor]: Taking taylor expansion of z in y 0.334 * [backup-simplify]: Simplify z into z 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* z y))) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.335 * [taylor]: Taking taylor expansion of (* z y) in y 0.335 * [taylor]: Taking taylor expansion of z in y 0.335 * [backup-simplify]: Simplify z into z 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* z 0) into 0 0.335 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.335 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.335 * [backup-simplify]: Simplify (sqrt 0) into 0 0.336 * [backup-simplify]: Simplify (/ (/ 1 z) (* 2 (sqrt 0))) into (/ +nan.0 z) 0.336 * [backup-simplify]: Simplify (+ z 0) into z 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [backup-simplify]: Simplify (+ (* z (/ +nan.0 z)) (* 1 0)) into (- +nan.0) 0.336 * [backup-simplify]: Simplify (* z 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0) 0.337 * [taylor]: Taking taylor expansion of (- +nan.0) in z 0.337 * [taylor]: Taking taylor expansion of +nan.0 in z 0.337 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.338 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.338 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.338 * [taylor]: Taking taylor expansion of (* +nan.0 z) in z 0.338 * [taylor]: Taking taylor expansion of +nan.0 in z 0.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.338 * [taylor]: Taking taylor expansion of z in z 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 z))) into 0 0.339 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 y))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (* (+ z y) (sqrt (/ 1 (* z y))))) 2) (+)) (* 2 (sqrt (* z y)))) into (* -1/2 (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2)))) 0.341 * [taylor]: Taking taylor expansion of (* -1/2 (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2)))) in y 0.341 * [taylor]: Taking taylor expansion of -1/2 in y 0.341 * [backup-simplify]: Simplify -1/2 into -1/2 0.341 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* z y))) (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2))) in y 0.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* z y))) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (* z y)) in y 0.341 * [taylor]: Taking taylor expansion of (* z y) in y 0.341 * [taylor]: Taking taylor expansion of z in y 0.341 * [backup-simplify]: Simplify z into z 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* z 0) into 0 0.341 * [backup-simplify]: Simplify (+ (* z 1) (* 0 0)) into z 0.341 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.341 * [backup-simplify]: Simplify (sqrt 0) into 0 0.342 * [backup-simplify]: Simplify (/ (/ 1 z) (* 2 (sqrt 0))) into (/ +nan.0 z) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ y z)) (+ (* 1/4 (/ z y)) 1/2)) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/4 (/ y z)) in y 0.342 * [taylor]: Taking taylor expansion of 1/4 in y 0.342 * [backup-simplify]: Simplify 1/4 into 1/4 0.342 * [taylor]: Taking taylor expansion of (/ y z) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [taylor]: Taking taylor expansion of z in y 0.342 * [backup-simplify]: Simplify z into z 0.342 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.342 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ z y)) 1/2) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/4 (/ z y)) in y 0.342 * [taylor]: Taking taylor expansion of 1/4 in y 0.342 * [backup-simplify]: Simplify 1/4 into 1/4 0.342 * [taylor]: Taking taylor expansion of (/ z y) in y 0.342 * [taylor]: Taking taylor expansion of z in y 0.342 * [backup-simplify]: Simplify z into z 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ z 1) into z 0.342 * [taylor]: Taking taylor expansion of 1/2 in y 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [backup-simplify]: Simplify (* 1/4 (/ 1 z)) into (/ 1/4 z) 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 z))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (+ (/ 1/4 z) 0) into (* 1/4 (/ 1 z)) 0.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 z)) into 0 0.345 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.345 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 0.346 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 1) (* 0 0))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0