13.352 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.024 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.026 * * [simplify]: iteration 1 : 29 enodes (cost 4 ) 0.027 * * [simplify]: iteration 2 : 50 enodes (cost 4 ) 0.029 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 82 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 125 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 229 enodes (cost 3 ) 0.038 * * [simplify]: iteration 7 : 321 enodes (cost 3 ) 0.041 * * [simplify]: iteration 8 : 336 enodes (cost 3 ) 0.044 * * [simplify]: iteration 9 : 436 enodes (cost 3 ) 0.050 * * [simplify]: iteration 10 : 790 enodes (cost 3 ) 0.079 * * [simplify]: iteration 11 : 3492 enodes (cost 3 ) 0.304 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.306 * [simplify]: Simplified to: (fma 3 (* y y) (* x x)) 0.309 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.316 * * * [progress]: generating rewritten candidates 0.316 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in (y x) around 0 0.317 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in x 0.317 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.317 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of 3 in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.317 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.317 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of 3 in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (fma 3 (pow y 2) (pow x 2)) in y 0.318 * [taylor]: Rewrote expression to (+ (* 3 (pow y 2)) (pow x 2)) 0.318 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of 3 in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.324 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.324 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.324 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.324 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.325 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.326 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.326 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.326 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of 3 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.336 * [taylor]: Taking taylor expansion of 0 in x 0.337 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.337 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 0.337 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.337 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.338 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.338 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 0.339 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.339 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of 3 in x 0.341 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 0 in x 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (* (* (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.356 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.358 * * [simplify]: iteration 1 : 84 enodes (cost 52 ) 0.360 * * [simplify]: iteration 2 : 267 enodes (cost 52 ) 0.366 * * [simplify]: iteration 3 : 1089 enodes (cost 52 ) 0.403 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.404 * [simplify]: Simplified to: (expm1 (fma 3 (* y y) (* x x))) (log1p (fma 3 (* y y) (* x x))) (* 3 (* y y)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma 3 (* y y) (* x x)) 3) (sqrt (fma 3 (* y y) (* x x))) (sqrt (fma 3 (* y y) (* x x))) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) (fma 3 (* y y) (* x x)) 0.404 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 2 / 4 0.427 * * * [progress]: picking best candidate 0.431 * * * * [pick]: Picked # 0.431 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.442 * * * [progress]: generating series expansions 0.442 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.442 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.442 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of 3 in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of 3 in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.450 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.450 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of 3 in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of 3 in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.461 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.461 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.461 * [taylor]: Taking taylor expansion of 3 in y 0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of 3 in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.469 * * * [progress]: simplifying candidates 0.469 * [simplify]: Simplifying using # : (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.472 * * [simplify]: iteration 0 : 88 enodes (cost 76 ) 0.475 * * [simplify]: iteration 1 : 291 enodes (cost 66 ) 0.480 * * [simplify]: iteration 2 : 1049 enodes (cost 63 ) 0.501 * * [simplify]: iteration 3 : 4500 enodes (cost 63 ) 0.654 * * [simplify]: iteration 4 : 5001 enodes (cost 63 ) 0.655 * [simplify]: Simplified to: (expm1 (* 3 (* y y))) (log1p (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) 0.655 * * * [progress]: adding candidates to table 0.684 * * [progress]: iteration 3 / 4 0.684 * * * [progress]: picking best candidate 0.694 * * * * [pick]: Picked # 0.694 * * * [progress]: localizing error 0.699 * * * [progress]: generating rewritten candidates 0.699 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.705 * * * [progress]: generating series expansions 0.705 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.705 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.705 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of 3 in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.705 * [taylor]: Taking taylor expansion of 3 in y 0.705 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.713 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.713 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of 3 in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of 3 in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.720 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.721 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of 3 in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of 3 in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.728 * * * [progress]: simplifying candidates 0.728 * [simplify]: Simplifying using # : (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 0.731 * * [simplify]: iteration 0 : 97 enodes (cost 74 ) 0.734 * * [simplify]: iteration 1 : 467 enodes (cost 63 ) 0.745 * * [simplify]: iteration 2 : 2248 enodes (cost 60 ) 0.784 * * [simplify]: iteration 3 : 5001 enodes (cost 59 ) 0.785 * [simplify]: Simplified to: (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* 3 (pow y 3/2)) (* 3 y) (pow y 2) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) 0.785 * * * [progress]: adding candidates to table 0.826 * * [progress]: iteration 4 / 4 0.827 * * * [progress]: picking best candidate 0.832 * * * * [pick]: Picked # 0.833 * * * [progress]: localizing error 0.840 * * * [progress]: generating rewritten candidates 0.840 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.859 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.869 * * * [progress]: generating series expansions 0.869 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.869 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.869 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.869 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.869 * [taylor]: Taking taylor expansion of 3 in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.870 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.870 * [taylor]: Taking taylor expansion of 3 in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.881 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.881 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.881 * [taylor]: Taking taylor expansion of 3 in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.883 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.883 * [taylor]: Taking taylor expansion of 3 in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.896 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.896 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.896 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.896 * [taylor]: Taking taylor expansion of 3 in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.897 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.897 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.897 * [taylor]: Taking taylor expansion of 3 in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.906 * [approximate]: Taking taylor expansion of (* (sqrt 3) y) in (y) around 0 0.906 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.906 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* (sqrt 3) y) in y 0.906 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.906 * [taylor]: Taking taylor expansion of 3 in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.917 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.918 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.918 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.918 * [taylor]: Taking taylor expansion of 3 in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.919 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.927 * [approximate]: Taking taylor expansion of (/ (sqrt 3) y) in (y) around 0 0.927 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.927 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ (sqrt 3) y) in y 0.929 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.929 * [taylor]: Taking taylor expansion of 3 in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.938 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.938 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.938 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.938 * [taylor]: Taking taylor expansion of 3 in y 0.938 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.938 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow y 2)) in y 0.938 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.938 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.938 * [taylor]: Taking taylor expansion of 3 in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.958 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.958 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.958 * [taylor]: Taking taylor expansion of 3 in y 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.960 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.960 * [taylor]: Taking taylor expansion of 3 in y 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.984 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in (y) around 0 0.984 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.984 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.984 * [taylor]: Taking taylor expansion of 3 in y 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.985 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow y 2)) in y 0.987 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 0.987 * [taylor]: Taking taylor expansion of (sqrt 3) in y 0.987 * [taylor]: Taking taylor expansion of 3 in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 1.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.006 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 1.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.006 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.006 * [taylor]: Taking taylor expansion of 3 in y 1.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.006 * [taylor]: Taking taylor expansion of y in y 1.013 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.013 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.013 * [taylor]: Taking taylor expansion of 3 in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of 3 in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.022 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 1.022 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of 3 in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of 3 in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.029 * * * [progress]: simplifying candidates 1.031 * [simplify]: Simplifying using # : (expm1 (sqrt (* (* 3 y) y))) (log1p (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (sqrt (* 3 y)) (sqrt y) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (expm1 (sqrt (* (* 3 y) y))) (log1p (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (sqrt (* 3 y)) (sqrt y) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (expm1 (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (log1p (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (* (* (* 3 y) y) (* (* 3 y) y)) (+ 1 1) (+ (log (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y)))) (log (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (exp (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y)))) (* (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))))) (cbrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (* 3 y) y) (* (* 3 y) y)) (sqrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (sqrt (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))) (* (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y))))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* (sqrt (* 3 y)) (sqrt (* 3 y))) (* (sqrt y) (sqrt y)) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* 1 1) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (* 3 y) y)) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y))))) (* (sqrt (* (* 3 y) y)) (sqrt (* 3 y))) (* (sqrt (* (* 3 y) y)) (sqrt (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) 1) (* (cbrt (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (sqrt y) (sqrt (* (* 3 y) y))) (* (sqrt (sqrt (* (* 3 y) y))) (sqrt (* (* 3 y) y))) (* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y))) (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* (pow (sqrt 3) 2) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) 1.036 * * [simplify]: iteration 0 : 184 enodes (cost 393 ) 1.041 * * [simplify]: iteration 1 : 993 enodes (cost 335 ) 1.071 * * [simplify]: iteration 2 : 5002 enodes (cost 297 ) 1.073 * [simplify]: Simplified to: (expm1 (sqrt (* (* 3 y) y))) (log1p (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (pow (sqrt (* (* 3 y) y)) 3) (sqrt (* 3 y)) (sqrt y) 1/2 1/2 1/2 (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (expm1 (sqrt (* (* 3 y) y))) (log1p (sqrt (* (* 3 y) y))) (log (sqrt (* (* 3 y) y))) (exp (sqrt (* (* 3 y) y))) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (cbrt (sqrt (* (* 3 y) y))) (pow (sqrt (* (* 3 y) y)) 3) (sqrt (* 3 y)) (sqrt y) 1/2 1/2 1/2 (sqrt (sqrt (* (* 3 y) y))) (sqrt (sqrt (* (* 3 y) y))) (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 (* (pow y 4) 9) (* (* 3 y) y) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) (* (pow y 4) 9) 2 (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (* (pow y 4) 9) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (pow (cbrt (sqrt (* (* 3 y) y))) 4) (* (cbrt (sqrt (* (* 3 y) y))) (cbrt (sqrt (* (* 3 y) y)))) (* 3 y) y (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) 1 (* (* 3 y) y) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) 1 2 1 1 1 1 1 1 1 1 1 (* (pow (cbrt (sqrt (* (* 3 y) y))) 4) (cbrt (sqrt (* (* 3 y) y)))) (* (sqrt (* (* 3 y) y)) (sqrt (* 3 y))) (pow (sqrt (sqrt (* (* 3 y) y))) 3) (sqrt (* (* 3 y) y)) (pow (cbrt (sqrt (* (* 3 y) y))) 4) (* (sqrt y) (sqrt (* (* 3 y) y))) (pow (sqrt (sqrt (* (* 3 y) y))) 3) (* (* 3 y) y) (expm1 (* (* 3 y) y)) (log1p (* (* 3 y) y)) (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (sqrt 3) y) (* (sqrt 3) y) (* -1 (* (sqrt 3) y)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) 1.073 * * * [progress]: adding candidates to table 1.244 * [progress]: [Phase 3 of 3] Extracting. 1.245 * * [regime]: Finding splitpoints for: (# # # # #) 1.245 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 1.246 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.261 * * * * [regimes]: Trying to branch on (* x x) from (# # # # #) 1.280 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.297 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.316 * * * [regime]: Found split indices: #