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rtoy
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comment for full details, but the issue is that Lisp says mixing a real and a complex requires converting the real to complex before doing the operation. But Kahan's algorithms assume that this doesn't happen, like z-1 should not be computed as z-(1+0*i). One place where this was wrong was for acos(2 +/- 0i). Kahan says acos(2+0i) is +0 - i*acosh(2) and acos(2-0i) is +0 + i*acosh(2). We had this backwards for the above reason. I think this was caused by the erroneous deftransforms for real op complex which were removed sometime ago, causing these function to compute the wrong thing.
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