9.186 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.021 * * [simplify]: iteration 1 : 11 enodes (cost 6 ) 0.023 * * [simplify]: iteration 2 : 22 enodes (cost 6 ) 0.025 * * [simplify]: iteration 3 : 40 enodes (cost 6 ) 0.031 * * [simplify]: iteration 4 : 84 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 194 enodes (cost 6 ) 0.095 * * [simplify]: iteration 6 : 479 enodes (cost 6 ) 0.304 * * [simplify]: iteration 7 : 1619 enodes (cost 6 ) 1.446 * * [simplify]: iteration done : 5000 enodes (cost 6 ) 1.446 * [simplify]: Simplified to: (exp (* (* x y) y)) 1.446 * * [progress]: iteration 1 / 4 1.446 * * * [progress]: picking best candidate 1.448 * * * * [pick]: Picked # 1.448 * * * [progress]: localizing error 1.458 * * * [progress]: generating rewritten candidates 1.458 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.465 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.468 * * * [progress]: generating series expansions 1.468 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.468 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.468 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.468 * [taylor]: Taking taylor expansion of x in y 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.468 * [taylor]: Taking taylor expansion of y in y 1.468 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.468 * [taylor]: Taking taylor expansion of y in x 1.468 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.470 * [taylor]: Taking taylor expansion of 0 in y 1.472 * [taylor]: Taking taylor expansion of 0 in y 1.472 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.472 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.472 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.472 * [taylor]: Taking taylor expansion of x in y 1.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.472 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.473 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.473 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.475 * [taylor]: Taking taylor expansion of 0 in y 1.477 * [taylor]: Taking taylor expansion of 0 in y 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.484 * [taylor]: Taking taylor expansion of 0 in y 1.484 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.484 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.484 * [taylor]: Taking taylor expansion of -1 in y 1.484 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.484 * [taylor]: Taking taylor expansion of x in y 1.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.484 * [taylor]: Taking taylor expansion of y in y 1.485 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.485 * [taylor]: Taking taylor expansion of -1 in x 1.485 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.485 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.485 * [taylor]: Taking taylor expansion of -1 in x 1.485 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.485 * [taylor]: Taking taylor expansion of y in x 1.486 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.486 * [taylor]: Taking taylor expansion of -1 in y 1.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.486 * [taylor]: Taking taylor expansion of y in y 1.487 * [taylor]: Taking taylor expansion of 0 in y 1.490 * [taylor]: Taking taylor expansion of 0 in y 1.493 * [taylor]: Taking taylor expansion of 0 in y 1.496 * [taylor]: Taking taylor expansion of 0 in y 1.497 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.497 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 1.497 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 1.497 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.497 * [taylor]: Taking taylor expansion of x in y 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.497 * [taylor]: Taking taylor expansion of y in y 1.497 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 1.497 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.497 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 1.498 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.498 * [taylor]: Taking taylor expansion of y in x 1.498 * [taylor]: Taking taylor expansion of 1 in y 1.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.498 * [taylor]: Taking taylor expansion of y in y 1.500 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 1.500 * [taylor]: Taking taylor expansion of 1/2 in y 1.500 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.500 * [taylor]: Taking taylor expansion of y in y 1.502 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 1.502 * [taylor]: Taking taylor expansion of 1/6 in y 1.502 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 1.506 * [taylor]: Taking taylor expansion of 1/24 in y 1.506 * [taylor]: Taking taylor expansion of (pow y 8) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.511 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 1.512 * [taylor]: Taking taylor expansion of 1/120 in y 1.512 * [taylor]: Taking taylor expansion of (pow y 10) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.519 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 1.519 * [taylor]: Taking taylor expansion of 1/720 in y 1.519 * [taylor]: Taking taylor expansion of (pow y 12) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.521 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 1.521 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 1.521 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.521 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.521 * [taylor]: Taking taylor expansion of x in y 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.521 * [taylor]: Taking taylor expansion of y in y 1.521 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.521 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.521 * [taylor]: Taking taylor expansion of y in x 1.522 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.522 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.522 * [taylor]: Taking taylor expansion of y in x 1.523 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 1.523 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.523 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.523 * [taylor]: Taking taylor expansion of x in y 1.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.523 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [taylor]: Taking taylor expansion of 0 in y 1.524 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 1.524 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 1.524 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.524 * [taylor]: Taking taylor expansion of -1 in y 1.524 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.524 * [taylor]: Taking taylor expansion of x in y 1.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.524 * [taylor]: Taking taylor expansion of y in y 1.524 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of -1 in x 1.525 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.525 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 1.525 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.525 * [taylor]: Taking taylor expansion of -1 in x 1.525 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.525 * [taylor]: Taking taylor expansion of x in x 1.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.525 * [taylor]: Taking taylor expansion of y in x 1.526 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 1.526 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.526 * [taylor]: Taking taylor expansion of -1 in y 1.526 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.526 * [taylor]: Taking taylor expansion of x in y 1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.526 * [taylor]: Taking taylor expansion of y in y 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [taylor]: Taking taylor expansion of 0 in y 1.527 * * * [progress]: simplifying candidates 1.527 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 1.530 * * [simplify]: iteration 0 : 57 enodes (cost 286 ) 1.543 * * [simplify]: iteration 1 : 136 enodes (cost 276 ) 1.585 * * [simplify]: iteration 2 : 517 enodes (cost 235 ) 2.011 * * [simplify]: iteration 3 : 2605 enodes (cost 235 ) 3.327 * * [simplify]: iteration done : 5001 enodes (cost 235 ) 3.328 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* y x) y) (* (* y x) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* x (pow y 2)) 3) (pow (* x (pow y 2)) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* x (pow y 2)) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* y x) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* y x) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (pow (exp (* (* x y) y)) 3) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* y x) y) (* (* y x) y) (* (* y x) y) (fma x (* y y) (fma 1/2 (* (pow x 2) (pow y 4)) 1)) (exp (* (* x y) y)) (exp (* (* x y) y)) 3.328 * * * [progress]: adding candidates to table 3.396 * [progress]: [Phase 3 of 3] Extracting. 3.397 * [simplify]: Simplifying using # : (exp (* (* x y) y)) 3.397 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 3.398 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 3.398 * * [simplify]: iteration done : 7 enodes (cost 6 ) 3.398 * [simplify]: Simplified to: (exp (* (* x y) y)) 3.822 * [regime-testing]: End program error score: 0.010532267142218294