result of erf is more precise than double 1205 out of 1277 times 0 errors <= 1% worse in accum, 0 <= 10%,2 <= 100%, 8 > 100% 3 results were exact to double the precision 20 largest ulp errors (from result in accumulator) 0.10772 ulp for erf(0.225312055012176216) = 0.249999999999997974) 0.10740 ulp for erf(0.22531205501207327) = 0.249999999999887562) 0.10736 ulp for erf(0.225312055012163587) = 0.249999999999984429) 0.10318 ulp for erf(-0.220614686665097565) = -0.244956651014343191) 0.10316 ulp for erf(-0.220614686665073056) = -0.244956651014316851) 0.10310 ulp for erf(-0.220614686664894144) = -0.24495665101412456) 0.10309 ulp for erf(-0.220614686665097925) = -0.244956651014343579) 0.10304 ulp for erf(-0.220614686665100895) = -0.244956651014346771) 0.10303 ulp for erf(-0.220614686664715232) = -0.244956651013932269) 0.09077 ulp for erf(0.476936276204469822) = 0.499999999999999944) 0.09069 ulp for erf(0.476936276204463883) = 0.499999999999994615) 0.09045 ulp for erf(0.476936276204468823) = 0.499999999999999056) 0.08308 ulp for erf(-6.01265042607639533) = -1) 0.08308 ulp for erf(-6.01265042610936362) = -1) 0.08308 ulp for erf(-6.01265042610969314) = -1) 0.08308 ulp for erf(-6.01265042610969669) = -1) 0.06740 ulp for erf(0.183825489930200703) = 0.205111928999355708) 0.06739 ulp for erf(0.183825489929979907) = 0.205111928999114845) 0.06738 ulp for erf(0.183825489929759112) = 0.205111928998873982) 0.06728 ulp for erf(0.183825489930311253) = 0.205111928999476306) 20 largest ulp errors (stored in a double) 0.55029 ulp for erf(0.173003437415309991) = 0.19328324616993478) 0.54396 ulp for erf(-0.489341802678973425) = -0.511083905768535796) 0.54040 ulp for erf(-0.489341802678973925) = -0.51108390576853624) 0.53615 ulp for erf(0.323079736607112478) = 0.352259768077648028) 0.52689 ulp for erf(-0.237989233146952112) = -0.263557116890746901) 0.52680 ulp for erf(0.183825489930278585) = 0.205111928999440668) 0.52652 ulp for erf(-0.220614686665097565) = -0.244956651014343191) 0.52554 ulp for erf(0.183825489930280112) = 0.205111928999442333) 0.52414 ulp for erf(0.789433081039224605) = 0.735760585524578681) 0.52372 ulp for erf(-0.237989233146952528) = -0.263557116890747345) 0.51604 ulp for erf(-1.29245567966885266) = -0.932421680527195207) 0.51470 ulp for erf(-0.11950033357842324) = -0.134202566094570735) 0.51280 ulp for erf(1.33777652839433969) = 0.9414959220645438) 0.51243 ulp for erf(0.644448162086819432) = 0.637908673562691209) 0.50985 ulp for erf(1.29335219460623585) = 0.932611808380637064) 0.50899 ulp for erf(-0.119500333578423115) = -0.134202566094570597) 0.50814 ulp for erf(1.74973639081803101) = 0.986657752826208267) 0.50762 ulp for erf(0.393287002759313054) = 0.421920264755931529) 0.50749 ulp for erf(-1.2238890926331345) = -0.916519793341092348) 0.50593 ulp for erf(1.17409017006009653) = 0.903168853005094308) erf12770.550290.1730034374153099910.19328324616993478