diff --git a/candle-core/src/backprop.rs b/candle-core/src/backprop.rs
index 3ea03b0b40..a556677478 100644
--- a/candle-core/src/backprop.rs
+++ b/candle-core/src/backprop.rs
@@ -623,9 +623,9 @@ impl Tensor {
                     }
                     Op::Unary(arg, UnaryOp::Silu) => {
                         let sum_grad = grads.or_insert(arg)?;
-                        // d/dx silu = sigmoid(x) * (1 + x * (1 - sigmoid(x)))
+                        // d/dx silu = sigmoid(x) * (1 + x * (1 - sigmoid(x))) = sigmoid(x) * (1 - node) + node
                         let sigmoid_arg = (arg.neg()?.exp()? + 1.)?.recip()?;
-                        let silu_grad = (&sigmoid_arg * (1. + (arg * (1. - &sigmoid_arg)?)?)?)?;
+                        let silu_grad = &sigmoid_arg * (1. - *node) + *node;
                         *sum_grad = sum_grad.add(&(&grad * silu_grad)?)?
                     }
                     Op::Elu(arg, alpha) => {