If past experience is anything to go by , they'll be late.

凭以往的经验看，他们会迟到的。

From past experience I'd say he'd probably forgotten the time.

根据过去的经验，我想他可能把时间忘了。

She knew from past experience that Ann would not give up easily.

她凭以往的经验知道安是不会轻易放弃的。

Her past experience made her uniquely suited to lead the campaign.

她以往的经历使她格外适合领导这场运动。

I knew from past experience that alternative therapies could help.

我知道根据以前的经验其他的治疗方法可能有效。