diff --git a/bitcoin/test/run-secret_eq_consttime.c b/bitcoin/test/run-secret_eq_consttime.c
index 7dd7df0b1..cb6fdb92b 100644
--- a/bitcoin/test/run-secret_eq_consttime.c
+++ b/bitcoin/test/run-secret_eq_consttime.c
@@ -3,12 +3,13 @@
 #include <ccan/err/err.h>
 #include <ccan/time/time.h>
 #include <stdio.h>
+#include <unistd.h>
 
 /* AUTOGENERATED MOCKS START */
 /* AUTOGENERATED MOCKS END */
 static bool verbose = false;
 
-#define RUNS (256 * 10000)
+#define RUNS (16 * 10000)
 static struct timerel const_time_test(struct secret *s1,
 				      struct secret *s2,
 				      size_t off)
@@ -73,10 +74,13 @@ static bool secret_time_test(struct timerel (*test)(struct secret *s1,
 {
 	struct secret *s1, *s2;
 	struct timerel firstbyte_time, lastbyte_time, diff;
+	/* Give up rest of our timeslice: useful if under load! */
+	struct timespec ts = { 0, 100000000 };
 
 	s1 = calloc(RUNS, sizeof(*s1));
 	s2 = calloc(RUNS, sizeof(*s2));
 
+	nanosleep(&ts, NULL);
 	firstbyte_time = test(s1, s2, 0);
 	lastbyte_time = test(s1, s2, sizeof(s1->data)-1);
 
@@ -113,13 +117,14 @@ int main(void)
 	if (v && atoi(v) == 1)
 		exit(0);
 
-	/* I've never seen this fail more than 5 times */
+	/* I've never seen this fail more than 80% of the time, even
+	 * when loaded */
 	success = 0;
-	for (i = 0; i < 10; i++)
+	for (i = 0; i < 100; i++)
 		success += secret_time_test(const_time_test, true);
 
 	printf("=> Within 5%% %u/%u times\n", success, i);
-	if (success < i/2)
+	if (success < i/5)
 		errx(1, "Only const time %u/%u?", success, i);
 
 	/* This fails without -O2 or above, at least here (x86 Ubuntu gcc 7.3) */